diff --git "a/expression/combination_500_value1000-10000/base7_depth4.jsonl" "b/expression/combination_500_value1000-10000/base7_depth4.jsonl"
new file mode 100644--- /dev/null
+++ "b/expression/combination_500_value1000-10000/base7_depth4.jsonl"
@@ -0,0 +1,1000 @@
+{"id":1,"expression_no_base_symbol":"((($2297$≎⊠⪸$8153$)≦≮≮)⩚⊴⇥(($1323$⫒⫫$5910$)⊧↖))⨥⫆((⊿$1974$)≠≀($1306$⋆⋳)⇴((⨙⪌$1264$)⪛⫼(⊀$1047$)))","expression":"(((≴∭⊉6461≎⊠⪸≴∭⊉32525)≦≮≮)⩚⊴⇥((≴∭⊉3600⫒⫫≴∭⊉23142)⊧↖))⨥⫆((⊿≴∭⊉5520)≠≀(≴∭⊉3544⋆⋳)⇴((⨙⪌≴∭⊉3454)⪛⫼(⊀≴∭⊉3024)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1418,"operation_count":13,"complexity_ratio":109.07692307692308,"tree":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2297,"base":7},"right_expr":{"type":"numeric_atoms","value":8153,"base":7}}},"right_expr":{"type":"unary","operator":"⊧↖","unary_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":1323,"base":7},"right_expr":{"type":"numeric_atoms","value":5910,"base":7}}}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"numeric_atoms","value":1974,"base":7}},"right_expr":{"type":"unary","operator":"⋆⋳","unary_expr":{"type":"numeric_atoms","value":1306,"base":7}}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"numeric_atoms","value":1264,"base":7}},"right_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"numeric_atoms","value":1047,"base":7}}}}},"used_operators":["yXekIHxTD4","NTOWxs364D","D4vGDi5EA2","bJkvcejdHO","EKiFHuOFxO","6Ko8hGgeMq","4JB6nKBMSY","IwW236VD4Y","DO4fhlbJSI","6MpZysEj17","hyuBjUqXlG","vEGLkm4Z2k","oPMjh9089D"],"dependent_operators":["eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","5twsqlHp2o","dfKe02y8D2","8HhzD0ZcuI","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","sdazOOVcIp","NTOWxs364D","COABgblf1C","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","9FxExcQeMw","7j4O788W3g","DIvbN7qnHd","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2297","layer":4},{"info":"number node, value=8153","layer":4},{"info":"compute binary expreesion, left_input=2297, right_input=8153, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=594450","layer":3},{"info":"compute unary expreesion, input=594450, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-1783350","layer":2},{"info":"number node, value=1323","layer":4},{"info":"number node, value=5910","layer":4},{"info":"compute binary expreesion, left_input=1323, right_input=5910, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = EKiFHuOFxO, unary_op_definition = 'a⊧↖ = { ((a⨽a)⊢(a⫚↹⊑79)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1783350, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"number node, value=1974","layer":4},{"info":"compute unary expreesion, input=1974, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-8634","layer":3},{"info":"number node, value=1306","layer":4},{"info":"compute unary expreesion, input=1306, op_id = 6MpZysEj17, unary_op_definition = 'a⋆⋳ = { ((a⊠≄⫣)⩷∴(a↺a)) }', output=-2644","layer":3},{"info":"compute binary expreesion, left_input=-8634, right_input=-2644, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=11157","layer":2},{"info":"number node, value=1264","layer":4},{"info":"compute unary expreesion, input=1264, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":3},{"info":"number node, value=1047","layer":4},{"info":"compute unary expreesion, input=1047, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=3926","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=3926, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":2},{"info":"compute binary expreesion, left_input=11157, right_input=968, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=68492","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=68492, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(((≴∭⊉6461≎⊠⪸≴∭⊉32525)≦≮≮)⩚⊴⇥((≴∭⊉3600⫒⫫≴∭⊉23142)⊧↖))⨥⫆((⊿≴∭⊉5520)≠≀(≴∭⊉3544⋆⋳)⇴((⨙⪌≴∭⊉3454)⪛⫼(⊀≴∭⊉3024)))=NaN","reverse_text":"NaN=(((≴∭⊉6461≎⊠⪸≴∭⊉32525)≦≮≮)⩚⊴⇥((≴∭⊉3600⫒⫫≴∭⊉23142)⊧↖))⨥⫆((⊿≴∭⊉5520)≠≀(≴∭⊉3544⋆⋳)⇴((⨙⪌≴∭⊉3454)⪛⫼(⊀≴∭⊉3024)))","cot":[{"info":"≴∭⊉6461≎⊠⪸≴∭⊉32525=≴∭⊉5024043","layer":3},{"info":"≴∭⊉5024043≦≮≮=≴∭⊉-21105162","layer":2},{"info":"≴∭⊉3600⫒⫫≴∭⊉23142=NaN","layer":3},{"info":"NaN⊧↖=NaN","layer":2},{"info":"≴∭⊉-21105162⩚⊴⇥NaN=NaN","layer":1},{"info":"⊿≴∭⊉5520=≴∭⊉-34113","layer":3},{"info":"≴∭⊉3544⋆⋳=≴∭⊉-10465","layer":3},{"info":"≴∭⊉-34113≠≀≴∭⊉-10465=≴∭⊉44346","layer":2},{"info":"⨙⪌≴∭⊉3454=≴∭⊉2350","layer":3},{"info":"⊀≴∭⊉3024=≴∭⊉14306","layer":3},{"info":"≴∭⊉2350⪛⫼≴∭⊉14306=≴∭⊉2552","layer":2},{"info":"≴∭⊉44346⇴≴∭⊉2552=≴∭⊉403454","layer":1},{"info":"NaN⨥⫆≴∭⊉403454=NaN","layer":0}]}
+{"id":2,"expression_no_base_symbol":"$1484$⨸$1144$⨸($6348$∑⇟⊟$5194$)⫸⊐$2485$⊝⪿⪼$2483$⨳⩥⨓$8763$↬$1836$⇼⇔∾(((⊽$5810$)∖$8038$∼$2481$)⋐⇩⊬)","expression":"≴∭⊉4220⨸≴∭⊉3223⨸(≴∭⊉24336∑⇟⊟≴∭⊉21100)⫸⊐≴∭⊉10150⊝⪿⪼≴∭⊉10145⨳⩥⨓≴∭⊉34356↬≴∭⊉5232⇼⇔∾(((⊽≴∭⊉22640)∖≴∭⊉32302∼≴∭⊉10143)⋐⇩⊬)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":5066,"operation_count":12,"complexity_ratio":422.1666666666667,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":1484,"base":7},"right_expr":{"type":"numeric_atoms","value":1144,"base":7}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":6348,"base":7},"right_expr":{"type":"numeric_atoms","value":5194,"base":7}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":2485,"base":7},"right_expr":{"type":"numeric_atoms","value":2483,"base":7}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":8763,"base":7},"right_expr":{"type":"numeric_atoms","value":1836,"base":7}}}},"right_expr":{"type":"unary","operator":"⋐⇩⊬","unary_expr":{"type":"binary","operator":"∖","left_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"numeric_atoms","value":5810,"base":7}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":8038,"base":7},"right_expr":{"type":"numeric_atoms","value":2481,"base":7}}}}},"used_operators":["tifHPKVTfV","mqXw5SEYmG","KmoU8R5UQR","U7g4x0WXJJ","nCS4ZIUYfx","3Oe9XWJUTD","B5M0gjZbta","JuuLT1NoCs","tXD093vOjl","QxG7OkqoLX","DyGG3AbaNP"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","rGHVDoGpnC","mp7IySMOzn","JclMnS0uGI","ddLRYrp01A","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1484","layer":4},{"info":"number node, value=1144","layer":4},{"info":"compute binary expreesion, left_input=1484, right_input=1144, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=2968","layer":3},{"info":"number node, value=6348","layer":4},{"info":"number node, value=5194","layer":4},{"info":"compute binary expreesion, left_input=6348, right_input=5194, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2968, right_input=nan, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=5936","layer":2},{"info":"number node, value=2485","layer":4},{"info":"number node, value=2483","layer":4},{"info":"compute binary expreesion, left_input=2485, right_input=2483, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=37183","layer":3},{"info":"number node, value=8763","layer":4},{"info":"number node, value=1836","layer":4},{"info":"compute binary expreesion, left_input=8763, right_input=1836, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=37183, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=5936, right_input=nan, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":1},{"info":"number node, value=5810","layer":4},{"info":"compute unary expreesion, input=5810, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=13142","layer":3},{"info":"number node, value=8038","layer":4},{"info":"number node, value=2481","layer":4},{"info":"compute binary expreesion, left_input=8038, right_input=2481, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=13142, right_input=nan, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = JuuLT1NoCs, unary_op_definition = 'a⋐⇩⊬ = { (a⨔⇊a) , if (a∊∟⩊189)<=582 ; (a⇷a) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉4220⨸≴∭⊉3223⨸(≴∭⊉24336∑⇟⊟≴∭⊉21100)⫸⊐≴∭⊉10150⊝⪿⪼≴∭⊉10145⨳⩥⨓≴∭⊉34356↬≴∭⊉5232⇼⇔∾(((⊽≴∭⊉22640)∖≴∭⊉32302∼≴∭⊉10143)⋐⇩⊬)=NaN","reverse_text":"NaN=≴∭⊉4220⨸≴∭⊉3223⨸(≴∭⊉24336∑⇟⊟≴∭⊉21100)⫸⊐≴∭⊉10150⊝⪿⪼≴∭⊉10145⨳⩥⨓≴∭⊉34356↬≴∭⊉5232⇼⇔∾(((⊽≴∭⊉22640)∖≴∭⊉32302∼≴∭⊉10143)⋐⇩⊬)","cot":[{"info":"≴∭⊉4220⨸≴∭⊉3223=≴∭⊉11440","layer":3},{"info":"≴∭⊉24336∑⇟⊟≴∭⊉21100=NaN","layer":3},{"info":"≴∭⊉11440⨸NaN=≴∭⊉23210","layer":2},{"info":"≴∭⊉10150⊝⪿⪼≴∭⊉10145=≴∭⊉213256","layer":3},{"info":"≴∭⊉34356↬≴∭⊉5232=NaN","layer":3},{"info":"≴∭⊉213256⨳⩥⨓NaN=NaN","layer":2},{"info":"≴∭⊉23210⫸⊐NaN=NaN","layer":1},{"info":"⊽≴∭⊉22640=≴∭⊉53213","layer":3},{"info":"≴∭⊉32302∼≴∭⊉10143=NaN","layer":3},{"info":"≴∭⊉53213∖NaN=≴∭⊉0","layer":2},{"info":"≴∭⊉0⋐⇩⊬=≴∭⊉0","layer":1},{"info":"NaN⇼⇔∾≴∭⊉0=NaN","layer":0}]}
+{"id":3,"expression_no_base_symbol":"(⊵⊁($1109$⨻⩈⩔$1632$⪉⨛(⊬↢$1044$)))⩘⨬⇊","expression":"(⊵⊁(≴∭⊉3143⨻⩈⩔≴∭⊉4521⪉⨛(⊬↢≴∭⊉3021)))⩘⨬⇊","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1773,"operation_count":5,"complexity_ratio":354.6,"tree":{"type":"unary","operator":"⩘⨬⇊","unary_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":1109,"base":7},"right_expr":{"type":"numeric_atoms","value":1632,"base":7}},"right_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"numeric_atoms","value":1044,"base":7}}}}},"used_operators":["XXmTpEpWTW","AvED76WdY7","EWw2JM7wp4","nEsXyWgiOK","WPoGxAaPR1"],"dependent_operators":["rxpJgHHUmx","HnzytWxmAO","8cLx32lpNA","uBihLCJcMX","k8jYdgA6NY","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA"],"result":"≴∭⊉-5146","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1109","layer":4},{"info":"number node, value=1632","layer":4},{"info":"compute binary expreesion, left_input=1109, right_input=1632, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":3},{"info":"number node, value=1044","layer":4},{"info":"compute unary expreesion, input=1044, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=218","layer":3},{"info":"compute binary expreesion, left_input=-174, right_input=218, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=-961","layer":2},{"info":"compute unary expreesion, input=-961, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = XXmTpEpWTW, unary_op_definition = 'a⩘⨬⇊ = { ((a⇴∐a)∌(a≭31)) }', output=-1798","layer":0}],"base":7,"result_base":7,"text":"(⊵⊁(≴∭⊉3143⨻⩈⩔≴∭⊉4521⪉⨛(⊬↢≴∭⊉3021)))⩘⨬⇊=≴∭⊉-5146","reverse_text":"≴∭⊉-5146=(⊵⊁(≴∭⊉3143⨻⩈⩔≴∭⊉4521⪉⨛(⊬↢≴∭⊉3021)))⩘⨬⇊","cot":[{"info":"≴∭⊉3143⨻⩈⩔≴∭⊉4521=≴∭⊉-336","layer":3},{"info":"⊬↢≴∭⊉3021=≴∭⊉431","layer":3},{"info":"≴∭⊉-336⪉⨛≴∭⊉431=≴∭⊉-2542","layer":2},{"info":"⊵⊁≴∭⊉-2542=≴∭⊉0","layer":1},{"info":"≴∭⊉0⩘⨬⇊=≴∭⊉-5146","layer":0}]}
+{"id":4,"expression_no_base_symbol":"(($1472$⊭↱$1756$)≃($4249$⊍⩺⋍$1647$)≓∲(+⊝⨔(⊥$2881$)))⊎←↗","expression":"((≴∭⊉4202⊭↱≴∭⊉5056)≃(≴∭⊉15250⊍⩺⋍≴∭⊉4542)≓∲(+⊝⨔(⊥≴∭⊉11254)))⊎←↗","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":314,"operation_count":7,"complexity_ratio":44.857142857142854,"tree":{"type":"unary","operator":"⊎←↗","unary_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1472,"base":7},"right_expr":{"type":"numeric_atoms","value":1756,"base":7}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":4249,"base":7},"right_expr":{"type":"numeric_atoms","value":1647,"base":7}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":2881,"base":7}}}}},"used_operators":["dwb5p0fa6d","s1XTVnmDOJ","YbVcJGFEVW","COABgblf1C","OXDGMFPWZM","DhbWaqg5eL","Q3PJZHRvZv"],"dependent_operators":["sdazOOVcIp","COABgblf1C","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1472","layer":4},{"info":"number node, value=1756","layer":4},{"info":"compute binary expreesion, left_input=1472, right_input=1756, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=573","layer":3},{"info":"number node, value=4249","layer":4},{"info":"number node, value=1647","layer":4},{"info":"compute binary expreesion, left_input=4249, right_input=1647, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=573, right_input=nan, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=nan","layer":2},{"info":"number node, value=2881","layer":4},{"info":"compute unary expreesion, input=2881, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1522, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = dwb5p0fa6d, unary_op_definition = 'a⊎←↗ = { (a⊭↱340) , if (a⪨≂940)!=203 ; (a⊭↱a) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉4202⊭↱≴∭⊉5056)≃(≴∭⊉15250⊍⩺⋍≴∭⊉4542)≓∲(+⊝⨔(⊥≴∭⊉11254)))⊎←↗=NaN","reverse_text":"NaN=((≴∭⊉4202⊭↱≴∭⊉5056)≃(≴∭⊉15250⊍⩺⋍≴∭⊉4542)≓∲(+⊝⨔(⊥≴∭⊉11254)))⊎←↗","cot":[{"info":"≴∭⊉4202⊭↱≴∭⊉5056=≴∭⊉1446","layer":3},{"info":"≴∭⊉15250⊍⩺⋍≴∭⊉4542=NaN","layer":3},{"info":"≴∭⊉1446≃NaN=NaN","layer":2},{"info":"⊥≴∭⊉11254=NaN","layer":3},{"info":"+⊝⨔NaN=≴∭⊉4303","layer":2},{"info":"NaN≓∲≴∭⊉4303=NaN","layer":1},{"info":"NaN⊎←↗=NaN","layer":0}]}
+{"id":5,"expression_no_base_symbol":"⫡⇟⇯((($5962$⩨$1206$)⪮%⊝$1409$∣$2127$)∩⋅)","expression":"⫡⇟⇯(((≴∭⊉23245⩨≴∭⊉3342)⪮%⊝≴∭⊉4052∣≴∭⊉6126)∩⋅)","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":26,"operation_count":5,"complexity_ratio":5.2,"tree":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"unary","operator":"∩⋅","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":5962,"base":7},"right_expr":{"type":"numeric_atoms","value":1206,"base":7}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":1409,"base":7},"right_expr":{"type":"numeric_atoms","value":2127,"base":7}}}}},"used_operators":["qWUSsah53b","2MzE1hQ0cz","IWmyXbctLI","2DlMacCsIx","PPChnnnBFF"],"dependent_operators":["DZ8iAZOCBD","P8v4zCKN1o","Qy55tPpLXF","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI"],"result":"≴∭⊉3046","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5962","layer":4},{"info":"number node, value=1206","layer":4},{"info":"compute binary expreesion, left_input=5962, right_input=1206, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=1409","layer":4},{"info":"number node, value=2127","layer":4},{"info":"compute binary expreesion, left_input=1409, right_input=2127, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=1409","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1409, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=316","layer":2},{"info":"compute unary expreesion, input=316, op_id = 2MzE1hQ0cz, unary_op_definition = 'a∩⋅ = { (a⋥≓≎44) }', output=-195","layer":1},{"info":"compute unary expreesion, input=-195, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=1063","layer":0}],"base":7,"result_base":7,"text":"⫡⇟⇯(((≴∭⊉23245⩨≴∭⊉3342)⪮%⊝≴∭⊉4052∣≴∭⊉6126)∩⋅)=≴∭⊉3046","reverse_text":"≴∭⊉3046=⫡⇟⇯(((≴∭⊉23245⩨≴∭⊉3342)⪮%⊝≴∭⊉4052∣≴∭⊉6126)∩⋅)","cot":[{"info":"≴∭⊉23245⩨≴∭⊉3342=≴∭⊉0","layer":3},{"info":"≴∭⊉4052∣≴∭⊉6126=≴∭⊉4052","layer":3},{"info":"≴∭⊉0⪮%⊝≴∭⊉4052=≴∭⊉631","layer":2},{"info":"≴∭⊉631∩⋅=≴∭⊉-366","layer":1},{"info":"⫡⇟⇯≴∭⊉-366=≴∭⊉3046","layer":0}]}
+{"id":6,"expression_no_base_symbol":"(($3932$⫸⇳$3553$)⋝⋈⪟(∨∊⋏$2399$)⪭≯(∑⇻≧($2596$⋐⇩⊬)))⨐((($2222$∐⫣)∙⊟($6051$⩢≌))⪘⫢($1047$⇴∐$6457$)⨜⨶($5514$⪍↜⋙$7684$))","expression":"((≴∭⊉14315⫸⇳≴∭⊉13234)⋝⋈⪟(∨∊⋏≴∭⊉6665)⪭≯(∑⇻≧(≴∭⊉10366⋐⇩⊬)))⨐(((≴∭⊉6323∐⫣)∙⊟(≴∭⊉23433⩢≌))⪘⫢(≴∭⊉3024⇴∐≴∭⊉24553)⨜⨶(≴∭⊉22035⪍↜⋙≴∭⊉31255))","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":1199,"operation_count":14,"complexity_ratio":85.64285714285714,"tree":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":3932,"base":7},"right_expr":{"type":"numeric_atoms","value":3553,"base":7}},"right_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"numeric_atoms","value":2399,"base":7}}},"right_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"unary","operator":"⋐⇩⊬","unary_expr":{"type":"numeric_atoms","value":2596,"base":7}}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"unary","operator":"∐⫣","unary_expr":{"type":"numeric_atoms","value":2222,"base":7}},"right_expr":{"type":"unary","operator":"⩢≌","unary_expr":{"type":"numeric_atoms","value":6051,"base":7}}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":1047,"base":7},"right_expr":{"type":"numeric_atoms","value":6457,"base":7}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":5514,"base":7},"right_expr":{"type":"numeric_atoms","value":7684,"base":7}}}}},"used_operators":["Noe24qw2ks","XAx5wpdLa6","2DDjHMKMc0","gx7XJ7hdpj","R5aXW34M0v","l1M9WJ3V7u","JuuLT1NoCs","oacrs7FA3X","SxTAKzQCrw","4CyGpkTkEk","D617RFjZIq","HiPekx5b7W","HnzytWxmAO","L05ObWFQCd"],"dependent_operators":["u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","W4YGzv6Whe","t8gj7n24qd","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","mp7IySMOzn","JclMnS0uGI","ddLRYrp01A","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","XPYlsWDdGa","eewbuw0ToL","e1ybzncUwg","hTbEZDJLEm","o20kRiQErp","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3932","layer":4},{"info":"number node, value=3553","layer":4},{"info":"compute binary expreesion, left_input=3932, right_input=3553, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"number node, value=2399","layer":4},{"info":"compute unary expreesion, input=2399, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=44375","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=44375, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=0","layer":2},{"info":"number node, value=2596","layer":4},{"info":"compute unary expreesion, input=2596, op_id = JuuLT1NoCs, unary_op_definition = 'a⋐⇩⊬ = { (a⨔⇊a) , if (a∊∟⩊189)<=582 ; (a⇷a) , else }', output=2596","layer":3},{"info":"compute unary expreesion, input=2596, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-852, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":1},{"info":"number node, value=2222","layer":4},{"info":"compute unary expreesion, input=2222, op_id = 4CyGpkTkEk, unary_op_definition = 'a∐⫣ = { (≉(⪲⇎(a⨰a))) }', output=551","layer":3},{"info":"number node, value=6051","layer":4},{"info":"compute unary expreesion, input=6051, op_id = D617RFjZIq, unary_op_definition = 'a⩢≌ = { ((a∸)∟) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=551, right_input=113, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=17009","layer":2},{"info":"number node, value=1047","layer":4},{"info":"number node, value=6457","layer":4},{"info":"compute binary expreesion, left_input=1047, right_input=6457, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"number node, value=5514","layer":4},{"info":"number node, value=7684","layer":4},{"info":"compute binary expreesion, left_input=5514, right_input=7684, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-43721","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-43721, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=17009, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉14315⫸⇳≴∭⊉13234)⋝⋈⪟(∨∊⋏≴∭⊉6665)⪭≯(∑⇻≧(≴∭⊉10366⋐⇩⊬)))⨐(((≴∭⊉6323∐⫣)∙⊟(≴∭⊉23433⩢≌))⪘⫢(≴∭⊉3024⇴∐≴∭⊉24553)⨜⨶(≴∭⊉22035⪍↜⋙≴∭⊉31255))=NaN","reverse_text":"NaN=((≴∭⊉14315⫸⇳≴∭⊉13234)⋝⋈⪟(∨∊⋏≴∭⊉6665)⪭≯(∑⇻≧(≴∭⊉10366⋐⇩⊬)))⨐(((≴∭⊉6323∐⫣)∙⊟(≴∭⊉23433⩢≌))⪘⫢(≴∭⊉3024⇴∐≴∭⊉24553)⨜⨶(≴∭⊉22035⪍↜⋙≴∭⊉31255))","cot":[{"info":"≴∭⊉14315⫸⇳≴∭⊉13234=≴∭⊉0","layer":3},{"info":"∨∊⋏≴∭⊉6665=≴∭⊉243242","layer":3},{"info":"≴∭⊉0⋝⋈⪟≴∭⊉243242=≴∭⊉0","layer":2},{"info":"≴∭⊉10366⋐⇩⊬=≴∭⊉10366","layer":3},{"info":"∑⇻≧≴∭⊉10366=≴∭⊉-2325","layer":2},{"info":"≴∭⊉0⪭≯≴∭⊉-2325=NaN","layer":1},{"info":"≴∭⊉6323∐⫣=≴∭⊉1415","layer":3},{"info":"≴∭⊉23433⩢≌=≴∭⊉221","layer":3},{"info":"≴∭⊉1415∙⊟≴∭⊉221=≴∭⊉100406","layer":2},{"info":"≴∭⊉3024⇴∐≴∭⊉24553=NaN","layer":3},{"info":"≴∭⊉22035⪍↜⋙≴∭⊉31255=≴∭⊉-241316","layer":3},{"info":"NaN⨜⨶≴∭⊉-241316=NaN","layer":2},{"info":"≴∭⊉100406⪘⫢NaN=NaN","layer":1},{"info":"NaN⨐NaN=NaN","layer":0}]}
+{"id":7,"expression_no_base_symbol":"(⫖→$1453$↹⊜$2333$)⊾⪯⋞($1816$⨭⪣$9694$)⪚($3078$⨒$6893$)-($1056$⪃↞⩐)∘($3615$⇴$3554$)⫸⊐($2980$⫒⫫$4240$)∛(⇾⩊⇾$1296$)","expression":"(⫖→≴∭⊉4144↹⊜≴∭⊉6542)⊾⪯⋞(≴∭⊉5203⨭⪣≴∭⊉40156)⪚(≴∭⊉11655⨒≴∭⊉26045)-(≴∭⊉3036⪃↞⩐)∘(≴∭⊉13353⇴≴∭⊉13235)⫸⊐(≴∭⊉11455⫒⫫≴∭⊉15235)∛(⇾⩊⇾≴∭⊉3531)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":7690,"operation_count":14,"complexity_ratio":549.2857142857143,"tree":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":1453,"base":7},"right_expr":{"type":"numeric_atoms","value":2333,"base":7}}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":1816,"base":7},"right_expr":{"type":"numeric_atoms","value":9694,"base":7}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":3078,"base":7},"right_expr":{"type":"numeric_atoms","value":6893,"base":7}}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"unary","operator":"⪃↞⩐","unary_expr":{"type":"numeric_atoms","value":1056,"base":7}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":3615,"base":7},"right_expr":{"type":"numeric_atoms","value":3554,"base":7}}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":2980,"base":7},"right_expr":{"type":"numeric_atoms","value":4240,"base":7}},"right_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"numeric_atoms","value":1296,"base":7}}}}},"used_operators":["rysDP5nf3Z","HK0tfVPux8","U4ylXWHChL","9bazX3JMtO","HrjLwUk87U","kn8WO9XteQ","y75s1iXyHd","mqXw5SEYmG","Z5m6OM72h2","grXIztHqDa","4JB6nKBMSY","w2537kitQq","6Ko8hGgeMq","bx9Z9DAK5y"],"dependent_operators":["s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","eH2TOUuTDT","rysDP5nf3Z","IwW236VD4Y","bF6eod5Gvf","l07mrZUIn9","sdazOOVcIp","NTOWxs364D","COABgblf1C","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q"],"result":"≴∭⊉423363","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1453","layer":4},{"info":"number node, value=2333","layer":4},{"info":"compute binary expreesion, left_input=1453, right_input=2333, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-6522","layer":3},{"info":"compute unary expreesion, input=-6522, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":2},{"info":"number node, value=1816","layer":4},{"info":"number node, value=9694","layer":4},{"info":"compute binary expreesion, left_input=1816, right_input=9694, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=537","layer":3},{"info":"number node, value=3078","layer":4},{"info":"number node, value=6893","layer":4},{"info":"compute binary expreesion, left_input=3078, right_input=6893, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-18096","layer":3},{"info":"compute binary expreesion, left_input=537, right_input=-18096, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=36910","layer":2},{"info":"compute binary expreesion, left_input=177, right_input=36910, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=73394","layer":1},{"info":"number node, value=1056","layer":4},{"info":"compute unary expreesion, input=1056, op_id = grXIztHqDa, unary_op_definition = 'a⪃↞⩐ = { ((a→⨶⪴a)≠≀(a↪⪝)) }', output=6642","layer":3},{"info":"number node, value=3615","layer":4},{"info":"number node, value=3554","layer":4},{"info":"compute binary expreesion, left_input=3615, right_input=3554, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=28412","layer":3},{"info":"compute binary expreesion, left_input=6642, right_input=28412, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=13284","layer":2},{"info":"number node, value=2980","layer":4},{"info":"number node, value=4240","layer":4},{"info":"compute binary expreesion, left_input=2980, right_input=4240, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"number node, value=1296","layer":4},{"info":"compute unary expreesion, input=1296, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-18150","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-18150, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=13284, right_input=67, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=143","layer":1},{"info":"compute binary expreesion, left_input=73394, right_input=143, op_id = rysDP5nf3Z binary_op_definition= 'None', output=73251","layer":0}],"base":7,"result_base":7,"text":"(⫖→≴∭⊉4144↹⊜≴∭⊉6542)⊾⪯⋞(≴∭⊉5203⨭⪣≴∭⊉40156)⪚(≴∭⊉11655⨒≴∭⊉26045)-(≴∭⊉3036⪃↞⩐)∘(≴∭⊉13353⇴≴∭⊉13235)⫸⊐(≴∭⊉11455⫒⫫≴∭⊉15235)∛(⇾⩊⇾≴∭⊉3531)=≴∭⊉423363","reverse_text":"≴∭⊉423363=(⫖→≴∭⊉4144↹⊜≴∭⊉6542)⊾⪯⋞(≴∭⊉5203⨭⪣≴∭⊉40156)⪚(≴∭⊉11655⨒≴∭⊉26045)-(≴∭⊉3036⪃↞⩐)∘(≴∭⊉13353⇴≴∭⊉13235)⫸⊐(≴∭⊉11455⫒⫫≴∭⊉15235)∛(⇾⩊⇾≴∭⊉3531)","cot":[{"info":"≴∭⊉4144↹⊜≴∭⊉6542=≴∭⊉-25005","layer":3},{"info":"⫖→≴∭⊉-25005=≴∭⊉342","layer":2},{"info":"≴∭⊉5203⨭⪣≴∭⊉40156=≴∭⊉1365","layer":3},{"info":"≴∭⊉11655⨒≴∭⊉26045=≴∭⊉-103521","layer":3},{"info":"≴∭⊉1365⪚≴∭⊉-103521=≴∭⊉212416","layer":2},{"info":"≴∭⊉342⊾⪯⋞≴∭⊉212416=≴∭⊉423656","layer":1},{"info":"≴∭⊉3036⪃↞⩐=≴∭⊉25236","layer":3},{"info":"≴∭⊉13353⇴≴∭⊉13235=≴∭⊉145556","layer":3},{"info":"≴∭⊉25236∘≴∭⊉145556=≴∭⊉53505","layer":2},{"info":"≴∭⊉11455⫒⫫≴∭⊉15235=NaN","layer":3},{"info":"⇾⩊⇾≴∭⊉3531=≴∭⊉-103626","layer":3},{"info":"NaN∛≴∭⊉-103626=≴∭⊉124","layer":2},{"info":"≴∭⊉53505⫸⊐≴∭⊉124=≴∭⊉263","layer":1},{"info":"≴∭⊉423656-≴∭⊉263=≴∭⊉423363","layer":0}]}
+{"id":8,"expression_no_base_symbol":"↓⇌((($4509$⨐⩸⫘$1426$)⨐⩸⫘($3460$⩤))⪪(⫎≠⋺$1983$)⨥⫆$1376$⪃⊛⇣$2386$)","expression":"↓⇌(((≴∭⊉16101⨐⩸⫘≴∭⊉4105)⨐⩸⫘(≴∭⊉13042⩤))⪪(⫎≠⋺≴∭⊉5532)⨥⫆≴∭⊉4004⪃⊛⇣≴∭⊉6646)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":664,"operation_count":8,"complexity_ratio":83.0,"tree":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":4509,"base":7},"right_expr":{"type":"numeric_atoms","value":1426,"base":7}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":3460,"base":7}}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"numeric_atoms","value":1983,"base":7}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":1376,"base":7},"right_expr":{"type":"numeric_atoms","value":2386,"base":7}}}}},"used_operators":["PxpmPgHHJV","xD69zh8xqp","fu6greOZ01","Z2TMIBDE3Q","yXekIHxTD4","LYeZOJ0nQG","rrgAzCduG9"],"dependent_operators":["23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","FU0Cs4j7VP","JclMnS0uGI","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4509","layer":4},{"info":"number node, value=1426","layer":4},{"info":"compute binary expreesion, left_input=4509, right_input=1426, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=3460","layer":4},{"info":"compute unary expreesion, input=3460, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-3460","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3460, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=1983","layer":4},{"info":"compute unary expreesion, input=1983, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=0","layer":3},{"info":"number node, value=1376","layer":4},{"info":"number node, value=2386","layer":4},{"info":"compute binary expreesion, left_input=1376, right_input=2386, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1234, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"↓⇌(((≴∭⊉16101⨐⩸⫘≴∭⊉4105)⨐⩸⫘(≴∭⊉13042⩤))⪪(⫎≠⋺≴∭⊉5532)⨥⫆≴∭⊉4004⪃⊛⇣≴∭⊉6646)=NaN","reverse_text":"NaN=↓⇌(((≴∭⊉16101⨐⩸⫘≴∭⊉4105)⨐⩸⫘(≴∭⊉13042⩤))⪪(⫎≠⋺≴∭⊉5532)⨥⫆≴∭⊉4004⪃⊛⇣≴∭⊉6646)","cot":[{"info":"≴∭⊉16101⨐⩸⫘≴∭⊉4105=NaN","layer":3},{"info":"≴∭⊉13042⩤=≴∭⊉-13042","layer":3},{"info":"NaN⨐⩸⫘≴∭⊉-13042=NaN","layer":2},{"info":"⫎≠⋺≴∭⊉5532=≴∭⊉0","layer":3},{"info":"≴∭⊉4004⪃⊛⇣≴∭⊉6646=≴∭⊉3412","layer":3},{"info":"≴∭⊉0⨥⫆≴∭⊉3412=≴∭⊉0","layer":2},{"info":"NaN⪪≴∭⊉0=NaN","layer":1},{"info":"↓⇌NaN=NaN","layer":0}]}
+{"id":9,"expression_no_base_symbol":"↘((≘(⩒∊$2981$))⨎($2293$↬$2160$)⋥⋵⩄(⨈⫕$1511$))","expression":"↘((≘(⩒∊≴∭⊉11456))⨎(≴∭⊉6454↬≴∭⊉6204)⋥⋵⩄(⨈⫕≴∭⊉4256))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":627,"operation_count":7,"complexity_ratio":89.57142857142857,"tree":{"type":"unary","operator":"↘","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"numeric_atoms","value":2981,"base":7}}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2293,"base":7},"right_expr":{"type":"numeric_atoms","value":2160,"base":7}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1511,"base":7}}}}},"used_operators":["LdNpr8hQHL","rJVOvQCfKK","tcjXMdvYtA","qazvmhNBbN","7t3wd0Fuz7","B5M0gjZbta","megm06wKyl"],"dependent_operators":["uFcxV4UQCh","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","rGHVDoGpnC","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2981","layer":4},{"info":"compute unary expreesion, input=2981, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=5205","layer":3},{"info":"compute unary expreesion, input=5205, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=11477809","layer":2},{"info":"number node, value=2293","layer":4},{"info":"number node, value=2160","layer":4},{"info":"compute binary expreesion, left_input=2293, right_input=2160, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=1511","layer":4},{"info":"compute unary expreesion, input=1511, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-21, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=11477809, right_input=nan, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"↘((≘(⩒∊≴∭⊉11456))⨎(≴∭⊉6454↬≴∭⊉6204)⋥⋵⩄(⨈⫕≴∭⊉4256))=NaN","reverse_text":"NaN=↘((≘(⩒∊≴∭⊉11456))⨎(≴∭⊉6454↬≴∭⊉6204)⋥⋵⩄(⨈⫕≴∭⊉4256))","cot":[{"info":"⩒∊≴∭⊉11456=≴∭⊉21114","layer":3},{"info":"≘≴∭⊉21114=≴∭⊉166363000","layer":2},{"info":"≴∭⊉6454↬≴∭⊉6204=NaN","layer":3},{"info":"⨈⫕≴∭⊉4256=≴∭⊉-30","layer":3},{"info":"NaN⋥⋵⩄≴∭⊉-30=NaN","layer":2},{"info":"≴∭⊉166363000⨎NaN=NaN","layer":1},{"info":"↘NaN=NaN","layer":0}]}
+{"id":10,"expression_no_base_symbol":"(∂⩏⊆(⨙⪌$1447$)⨐($1193$⊬⨰$4423$))⇚⪠","expression":"(∂⩏⊆(⨙⪌≴∭⊉4135)⨐(≴∭⊉3323⊬⨰≴∭⊉15616))⇚⪠","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":3162,"operation_count":5,"complexity_ratio":632.4,"tree":{"type":"unary","operator":"⇚⪠","unary_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"numeric_atoms","value":1447,"base":7}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":1193,"base":7},"right_expr":{"type":"numeric_atoms","value":4423,"base":7}}}}},"used_operators":["Loh9y4A90B","8WDwsbhb0R","Noe24qw2ks","vEGLkm4Z2k","s3Fd5m9Dh2"],"dependent_operators":["Z5m6OM72h2","9HNa5Wba9A","ztP7wcbY7m","14qkJME0vr","eLAdDNolq6","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx"],"result":"≴∭⊉146532012","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1447","layer":4},{"info":"compute unary expreesion, input=1447, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":3},{"info":"number node, value=1193","layer":4},{"info":"number node, value=4423","layer":4},{"info":"compute binary expreesion, left_input=1193, right_input=4423, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=17829","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=17829, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-1736","layer":2},{"info":"compute unary expreesion, input=-1736, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=2220","layer":1},{"info":"compute unary expreesion, input=2220, op_id = Loh9y4A90B, unary_op_definition = 'a⇚⪠ = { ((a∘(a∈))*a) }', output=9856800","layer":0}],"base":7,"result_base":7,"text":"(∂⩏⊆(⨙⪌≴∭⊉4135)⨐(≴∭⊉3323⊬⨰≴∭⊉15616))⇚⪠=≴∭⊉146532012","reverse_text":"≴∭⊉146532012=(∂⩏⊆(⨙⪌≴∭⊉4135)⨐(≴∭⊉3323⊬⨰≴∭⊉15616))⇚⪠","cot":[{"info":"⨙⪌≴∭⊉4135=≴∭⊉2350","layer":3},{"info":"≴∭⊉3323⊬⨰≴∭⊉15616=≴∭⊉102660","layer":3},{"info":"≴∭⊉2350⨐≴∭⊉102660=≴∭⊉-5030","layer":2},{"info":"∂⩏⊆≴∭⊉-5030=≴∭⊉6321","layer":1},{"info":"≴∭⊉6321⇚⪠=≴∭⊉146532012","layer":0}]}
+{"id":11,"expression_no_base_symbol":"(↔($4032$⪮%⊝$1707$))⩼⇪↪(∤$1578$)≌($1081$⫑)⊹≧⊝","expression":"(↔(≴∭⊉14520⪮%⊝≴∭⊉4656))⩼⇪↪(∤≴∭⊉4413)≌(≴∭⊉3103⫑)⊹≧⊝","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4308,"operation_count":7,"complexity_ratio":615.4285714285714,"tree":{"type":"unary","operator":"⊹≧⊝","unary_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":4032,"base":7},"right_expr":{"type":"numeric_atoms","value":1707,"base":7}}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"numeric_atoms","value":1578,"base":7}},"right_expr":{"type":"unary","operator":"⫑","unary_expr":{"type":"numeric_atoms","value":1081,"base":7}}}}},"used_operators":["LxFB4K6j0n","ocnLzx9CaJ","ruOEQAzv1W","IWmyXbctLI","lyWz822IDG","k2HlF1dBQh","CgIo77xlM2"],"dependent_operators":["NTOWxs364D","P8v4zCKN1o","XPYlsWDdGa","DZ8iAZOCBD","t8gj7n24qd","g55IO6H4Gj","eewbuw0ToL","i8ToyICDmI","COABgblf1C","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","cWQsF5MvuD","zR4jO40bMj","SUmda5xLS4","DZ8iAZOCBD","PxpmPgHHJV","ocnLzx9CaJ","Z5m6OM72h2","mqXw5SEYmG","8cLx32lpNA"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4032","layer":4},{"info":"number node, value=1707","layer":4},{"info":"compute binary expreesion, left_input=4032, right_input=1707, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=8380","layer":3},{"info":"compute unary expreesion, input=8380, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-8107","layer":2},{"info":"number node, value=1578","layer":4},{"info":"compute unary expreesion, input=1578, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":3},{"info":"number node, value=1081","layer":4},{"info":"compute unary expreesion, input=1081, op_id = CgIo77xlM2, unary_op_definition = 'a⫑ = { (((a⊉≛↸377)⩼⇪↪(a∘a))⪄(841⪶≀⋏a)) , if (a⫸⊐7)<631 ; ((↓⇌(a∌a))⨌↪) , else }', output=3979","layer":3},{"info":"compute binary expreesion, left_input=9, right_input=3979, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-8107, right_input=nan, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = LxFB4K6j0n, unary_op_definition = 'a⊹≧⊝ = { (((∥⊫a)⊭↱(a⩚⊴⇥a))⊉≛↸(⪲⇎(⪲⇎a))) , if a!=566 ; (-((a∲⫓a)⨸⪁(a⨰a))) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(↔(≴∭⊉14520⪮%⊝≴∭⊉4656))⩼⇪↪(∤≴∭⊉4413)≌(≴∭⊉3103⫑)⊹≧⊝=NaN","reverse_text":"NaN=(↔(≴∭⊉14520⪮%⊝≴∭⊉4656))⩼⇪↪(∤≴∭⊉4413)≌(≴∭⊉3103⫑)⊹≧⊝","cot":[{"info":"≴∭⊉14520⪮%⊝≴∭⊉4656=≴∭⊉33301","layer":3},{"info":"↔≴∭⊉33301=≴∭⊉-32431","layer":2},{"info":"∤≴∭⊉4413=≴∭⊉12","layer":3},{"info":"≴∭⊉3103⫑=≴∭⊉14413","layer":3},{"info":"≴∭⊉12≌≴∭⊉14413=NaN","layer":2},{"info":"≴∭⊉-32431⩼⇪↪NaN=NaN","layer":1},{"info":"NaN⊹≧⊝=NaN","layer":0}]}
+{"id":12,"expression_no_base_symbol":"($1209$↬$1044$)⇻⋧≁($1281$⋥⋵⩄$4954$)∊∟⩊(⇜⊴$8089$⪇≇⋚$2484$)∲⫓((↨⩢⫨$6291$)∠⫱$2378$⨽∌$7634$)⪍↜⋙(∡$1246$≦↸$2132$)","expression":"(≴∭⊉3345↬≴∭⊉3021)⇻⋧≁(≴∭⊉3510⋥⋵⩄≴∭⊉20305)∊∟⩊(⇜⊴≴∭⊉32404⪇≇⋚≴∭⊉10146)∲⫓((↨⩢⫨≴∭⊉24225)∠⫱≴∭⊉6635⨽∌≴∭⊉31154)⪍↜⋙(∡≴∭⊉3430≦↸≴∭⊉6134)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":439,"operation_count":13,"complexity_ratio":33.76923076923077,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1209,"base":7},"right_expr":{"type":"numeric_atoms","value":1044,"base":7}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":1281,"base":7},"right_expr":{"type":"numeric_atoms","value":4954,"base":7}}},"right_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":8089,"base":7},"right_expr":{"type":"numeric_atoms","value":2484,"base":7}}}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"numeric_atoms","value":6291,"base":7}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":2378,"base":7},"right_expr":{"type":"numeric_atoms","value":7634,"base":7}}},"right_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":1246,"base":7},"right_expr":{"type":"numeric_atoms","value":2132,"base":7}}}}},"used_operators":["i8ToyICDmI","ddLRYrp01A","jCPkEVoL5K","B5M0gjZbta","7t3wd0Fuz7","XwDhCwWbUn","3sJ7IOPOlU","L05ObWFQCd","QvoQhV0rrE","Z5CJsN7DuW","9samAPKr6k","pRsWfj4Fpp","RygbFNSyEJ"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","rGHVDoGpnC","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj"],"result":"≴∭⊉35543","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1209","layer":4},{"info":"number node, value=1044","layer":4},{"info":"compute binary expreesion, left_input=1209, right_input=1044, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=1281","layer":4},{"info":"number node, value=4954","layer":4},{"info":"compute binary expreesion, left_input=1281, right_input=4954, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=113, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=nan","layer":2},{"info":"number node, value=8089","layer":4},{"info":"number node, value=2484","layer":4},{"info":"compute binary expreesion, left_input=8089, right_input=2484, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = XwDhCwWbUn, unary_op_definition = '⇜⊴a = { (↩(∓⪦(a≃a))) , if ((a∐⫣)>271 and (a∴779)<=132) ; ((a↢(a⨔⇊a))⊲⩕⊾((a∝a)⊉↱≁(a⊭↱19))) , else }', output=9194","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=9194, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=9194","layer":1},{"info":"number node, value=6291","layer":4},{"info":"compute unary expreesion, input=6291, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":3},{"info":"number node, value=2378","layer":4},{"info":"number node, value=7634","layer":4},{"info":"compute binary expreesion, left_input=2378, right_input=7634, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=0","layer":2},{"info":"number node, value=1246","layer":4},{"info":"number node, value=2132","layer":4},{"info":"compute binary expreesion, left_input=1246, right_input=2132, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-6075","layer":3},{"info":"compute unary expreesion, input=-6075, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=36450","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=36450, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-73683","layer":1},{"info":"compute binary expreesion, left_input=9194, right_input=-73683, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=9194","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉3345↬≴∭⊉3021)⇻⋧≁(≴∭⊉3510⋥⋵⩄≴∭⊉20305)∊∟⩊(⇜⊴≴∭⊉32404⪇≇⋚≴∭⊉10146)∲⫓((↨⩢⫨≴∭⊉24225)∠⫱≴∭⊉6635⨽∌≴∭⊉31154)⪍↜⋙(∡≴∭⊉3430≦↸≴∭⊉6134)=≴∭⊉35543","reverse_text":"≴∭⊉35543=(≴∭⊉3345↬≴∭⊉3021)⇻⋧≁(≴∭⊉3510⋥⋵⩄≴∭⊉20305)∊∟⩊(⇜⊴≴∭⊉32404⪇≇⋚≴∭⊉10146)∲⫓((↨⩢⫨≴∭⊉24225)∠⫱≴∭⊉6635⨽∌≴∭⊉31154)⪍↜⋙(∡≴∭⊉3430≦↸≴∭⊉6134)","cot":[{"info":"≴∭⊉3345↬≴∭⊉3021=NaN","layer":3},{"info":"≴∭⊉3510⋥⋵⩄≴∭⊉20305=≴∭⊉221","layer":3},{"info":"NaN⇻⋧≁≴∭⊉221=NaN","layer":2},{"info":"≴∭⊉32404⪇≇⋚≴∭⊉10146=≴∭⊉0","layer":3},{"info":"⇜⊴≴∭⊉0=≴∭⊉35543","layer":2},{"info":"NaN∊∟⩊≴∭⊉35543=≴∭⊉35543","layer":1},{"info":"↨⩢⫨≴∭⊉24225=≴∭⊉0","layer":3},{"info":"≴∭⊉6635⨽∌≴∭⊉31154=≴∭⊉0","layer":3},{"info":"≴∭⊉0∠⫱≴∭⊉0=≴∭⊉0","layer":2},{"info":"≴∭⊉3430≦↸≴∭⊉6134=≴∭⊉-23466","layer":3},{"info":"∡≴∭⊉-23466=≴∭⊉211161","layer":2},{"info":"≴∭⊉0⪍↜⋙≴∭⊉211161=≴∭⊉-424551","layer":1},{"info":"≴∭⊉35543∲⫓≴∭⊉-424551=≴∭⊉35543","layer":0}]}
+{"id":13,"expression_no_base_symbol":"((↘$3140$)⨴∎)⇮⋭($1099$⋾⨃∁$5441$)⫯⪬∳$1716$∓⋝$1107$⪬∳","expression":"((↘≴∭⊉12104)⨴∎)⇮⋭(≴∭⊉3130⋾⨃∁≴∭⊉21602)⫯⪬∳≴∭⊉5001∓⋝≴∭⊉3141⪬∳","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":6001,"operation_count":7,"complexity_ratio":857.2857142857143,"tree":{"type":"unary","operator":"⪬∳","unary_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"unary","operator":"⨴∎","unary_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"numeric_atoms","value":3140,"base":7}}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":1099,"base":7},"right_expr":{"type":"numeric_atoms","value":5441,"base":7}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":1716,"base":7},"right_expr":{"type":"numeric_atoms","value":1107,"base":7}}}}},"used_operators":["O9U3z1385E","vkpjKywKVM","CpSg5vQTgA","LdNpr8hQHL","d7ASUq0ydm","212REbPD9h","PoHhknlbAi"],"dependent_operators":["FU0Cs4j7VP","ukq6epAj5P","k7HXdKtiEU","zVYPLywUTj","LYeZOJ0nQG","kuIXHzHcAH","tcjXMdvYtA","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","Q3PJZHRvZv","s1XTVnmDOJ","VEQNXA0ZBg","uFcxV4UQCh","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz"],"result":"≴∭⊉-2032","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3140","layer":4},{"info":"compute unary expreesion, input=3140, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=4","layer":3},{"info":"compute unary expreesion, input=4, op_id = CpSg5vQTgA, unary_op_definition = 'a⨴∎ = { (⊥a) , if (a≓∲156)<=233 or (a⪗)>744 ; a , else }', output=-7","layer":2},{"info":"number node, value=1099","layer":4},{"info":"number node, value=5441","layer":4},{"info":"compute binary expreesion, left_input=1099, right_input=5441, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=295979424","layer":3},{"info":"number node, value=1716","layer":4},{"info":"number node, value=1107","layer":4},{"info":"compute binary expreesion, left_input=1716, right_input=1107, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"compute binary expreesion, left_input=295979424, right_input=67, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=1479897086","layer":2},{"info":"compute binary expreesion, left_input=-7, right_input=1479897086, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":1},{"info":"compute unary expreesion, input=67, op_id = O9U3z1385E, unary_op_definition = 'a⪬∳ = { ((a∋a)⊪) , if ((a⪨⊡684)!=357 and (≘a)<480 and (⊲⪭a)>=673) ; (⫎≠⋺(a↛⩡⫤)) , else }', output=-709","layer":0}],"base":7,"result_base":7,"text":"((↘≴∭⊉12104)⨴∎)⇮⋭(≴∭⊉3130⋾⨃∁≴∭⊉21602)⫯⪬∳≴∭⊉5001∓⋝≴∭⊉3141⪬∳=≴∭⊉-2032","reverse_text":"≴∭⊉-2032=((↘≴∭⊉12104)⨴∎)⇮⋭(≴∭⊉3130⋾⨃∁≴∭⊉21602)⫯⪬∳≴∭⊉5001∓⋝≴∭⊉3141⪬∳","cot":[{"info":"↘≴∭⊉12104=≴∭⊉4","layer":3},{"info":"≴∭⊉4⨴∎=≴∭⊉-10","layer":2},{"info":"≴∭⊉3130⋾⨃∁≴∭⊉21602=≴∭⊉10222532526","layer":3},{"info":"≴∭⊉5001∓⋝≴∭⊉3141=≴∭⊉124","layer":3},{"info":"≴∭⊉10222532526⫯⪬∳≴∭⊉124=≴∭⊉51446626523","layer":2},{"info":"≴∭⊉-10⇮⋭≴∭⊉51446626523=≴∭⊉124","layer":1},{"info":"≴∭⊉124⪬∳=≴∭⊉-2032","layer":0}]}
+{"id":14,"expression_no_base_symbol":"($3946$≬⇓$1474$≬⋮($2468$≫≃))⨫⇇↔$1972$≌$3745$↹⊜($1701$≀⫉$1273$)∲⫓($1968$⇤$1102$⫸⇳(⫛⫱⨽$3510$))⨚(($2070$⨻⩈⩔$1176$)⩇∃⫛(⨡↴$2941$))","expression":"(≴∭⊉14335≬⇓≴∭⊉4204≬⋮(≴∭⊉10124≫≃))⨫⇇↔≴∭⊉5515≌≴∭⊉13630↹⊜(≴∭⊉4650≀⫉≴∭⊉3466)∲⫓(≴∭⊉5511⇤≴∭⊉3133⫸⇳(⫛⫱⨽≴∭⊉13143))⨚((≴∭⊉6015⨻⩈⩔≴∭⊉3300)⩇∃⫛(⨡↴≴∭⊉11401))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":5695,"operation_count":15,"complexity_ratio":379.6666666666667,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":3946,"base":7},"right_expr":{"type":"numeric_atoms","value":1474,"base":7}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":2468,"base":7}}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":1972,"base":7},"right_expr":{"type":"numeric_atoms","value":3745,"base":7}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":1701,"base":7},"right_expr":{"type":"numeric_atoms","value":1273,"base":7}}}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":1968,"base":7},"right_expr":{"type":"numeric_atoms","value":1102,"base":7}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":3510,"base":7}}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":2070,"base":7},"right_expr":{"type":"numeric_atoms","value":1176,"base":7}},"right_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"numeric_atoms","value":2941,"base":7}}}}},"used_operators":["i8ToyICDmI","LXhwmt4mBO","kbkesczE7y","jWTQ2TZYIH","X99M06cbEe","9bazX3JMtO","lyWz822IDG","oZj3VtZNQx","nREPSIbpBE","gx7XJ7hdpj","YSKBFp38Pu","DlLNRPXxWL","1aApVXNlOP","nEsXyWgiOK","liw5iZPkLH"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","BjRHVeLaeN","12rbrZMWeM","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","rGHVDoGpnC","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","W4YGzv6Whe","P8v4zCKN1o"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3946","layer":4},{"info":"number node, value=1474","layer":4},{"info":"compute binary expreesion, left_input=3946, right_input=1474, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":3},{"info":"number node, value=2468","layer":4},{"info":"compute unary expreesion, input=2468, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=6337","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=6337, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":2},{"info":"number node, value=1972","layer":4},{"info":"number node, value=3745","layer":4},{"info":"compute binary expreesion, left_input=1972, right_input=3745, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a���⇱))) , else }', output=nan","layer":3},{"info":"number node, value=1701","layer":4},{"info":"number node, value=1273","layer":4},{"info":"compute binary expreesion, left_input=1701, right_input=1273, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2822, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=868, right_input=nan, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":1},{"info":"number node, value=1968","layer":4},{"info":"number node, value=1102","layer":4},{"info":"compute binary expreesion, left_input=1968, right_input=1102, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-12502","layer":3},{"info":"number node, value=3510","layer":4},{"info":"compute unary expreesion, input=3510, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-12502, right_input=0, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":2},{"info":"number node, value=2070","layer":4},{"info":"number node, value=1176","layer":4},{"info":"compute binary expreesion, left_input=2070, right_input=1176, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=8159","layer":3},{"info":"number node, value=2941","layer":4},{"info":"compute unary expreesion, input=2941, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=3990","layer":3},{"info":"compute binary expreesion, left_input=8159, right_input=3990, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=-3696","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-3696, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=15718","layer":1},{"info":"compute binary expreesion, left_input=-527, right_input=15718, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉14335≬⇓≴∭⊉4204≬⋮(≴∭⊉10124≫≃))⨫⇇↔≴∭⊉5515≌≴∭⊉13630↹⊜(≴∭⊉4650≀⫉≴∭⊉3466)∲⫓(≴∭⊉5511⇤≴∭⊉3133⫸⇳(⫛⫱⨽≴∭⊉13143))⨚((≴∭⊉6015⨻⩈⩔≴∭⊉3300)⩇∃⫛(⨡↴≴∭⊉11401))=≴∭⊉0","reverse_text":"≴∭⊉0=(≴∭⊉14335≬⇓≴∭⊉4204≬⋮(≴∭⊉10124≫≃))⨫⇇↔≴∭⊉5515≌≴∭⊉13630↹⊜(≴∭⊉4650≀⫉≴∭⊉3466)∲⫓(≴∭⊉5511⇤≴∭⊉3133⫸⇳(⫛⫱⨽≴∭⊉13143))⨚((≴∭⊉6015⨻⩈⩔≴∭⊉3300)⩇∃⫛(⨡↴≴∭⊉11401))","cot":[{"info":"≴∭⊉14335≬⇓≴∭⊉4204=≴∭⊉-31","layer":3},{"info":"≴∭⊉10124≫≃=≴∭⊉24322","layer":3},{"info":"≴∭⊉-31≬⋮≴∭⊉24322=≴∭⊉2350","layer":2},{"info":"≴∭⊉5515≌≴∭⊉13630=NaN","layer":3},{"info":"≴∭⊉4650≀⫉≴∭⊉3466=≴∭⊉11141","layer":3},{"info":"NaN↹⊜≴∭⊉11141=NaN","layer":2},{"info":"≴∭⊉2350⨫⇇↔NaN=≴∭⊉-1352","layer":1},{"info":"≴∭⊉5511⇤≴∭⊉3133=≴∭⊉-51310","layer":3},{"info":"⫛⫱⨽≴∭⊉13143=≴∭⊉0","layer":3},{"info":"≴∭⊉-51310⫸⇳≴∭⊉0=≴∭⊉0","layer":2},{"info":"≴∭⊉6015⨻⩈⩔≴∭⊉3300=≴∭⊉32534","layer":3},{"info":"⨡↴≴∭⊉11401=≴∭⊉14430","layer":3},{"info":"≴∭⊉32534⩇∃⫛≴∭⊉14430=≴∭⊉-13530","layer":2},{"info":"≴∭⊉0⨚≴∭⊉-13530=≴∭⊉63553","layer":1},{"info":"≴∭⊉-1352∲⫓≴∭⊉63553=≴∭⊉0","layer":0}]}
+{"id":15,"expression_no_base_symbol":"(⇤←(⨈⪑$6914$)⇴∐($1170$⪕$1094$))⫚↹⊑($2385$⊬⫿⊭)⫣⪄⊒($6497$⨔⇊$4321$)⊭↱($2042$⊚⫡⫭)⫰⋱(≦∁$2310$)","expression":"(⇤←(⨈⪑≴∭⊉26105)⇴∐(≴∭⊉3261⪕≴∭⊉3122))⫚↹⊑(≴∭⊉6645⊬⫿⊭)⫣⪄⊒(≴∭⊉24641⨔⇊≴∭⊉15412)⊭↱(≴∭⊉5645⊚⫡⫭)⫰⋱(≦∁≴∭⊉6510)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":234,"operation_count":12,"complexity_ratio":19.5,"tree":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"numeric_atoms","value":6914,"base":7}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":1170,"base":7},"right_expr":{"type":"numeric_atoms","value":1094,"base":7}}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"unary","operator":"⊬⫿⊭","unary_expr":{"type":"numeric_atoms","value":2385,"base":7}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":6497,"base":7},"right_expr":{"type":"numeric_atoms","value":4321,"base":7}}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"unary","operator":"⊚⫡⫭","unary_expr":{"type":"numeric_atoms","value":2042,"base":7}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":2310,"base":7}}}}},"used_operators":["dfKe02y8D2","jfAgQ2OQeM","HnzytWxmAO","mp94q5OcYM","umQnsF7QlU","COABgblf1C","RabNbG55vr","v0DYgG9ikt","JclMnS0uGI","6o9Blt3TJ6","SpZWOsLKZJ","9ICcGScMcE"],"dependent_operators":["2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","eLAdDNolq6","P8v4zCKN1o","7j4O788W3g","8w2t5hMYqp","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","P8v4zCKN1o","rysDP5nf3Z","e1ybzncUwg","N41Kp7NANJ","sdazOOVcIp","Ph9nP6C5qx","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"≴∭⊉-1206","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6914","layer":4},{"info":"compute unary expreesion, input=6914, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":3},{"info":"number node, value=1170","layer":4},{"info":"number node, value=1094","layer":4},{"info":"compute binary expreesion, left_input=1170, right_input=1094, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=2147","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=2147, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=nan","layer":1},{"info":"number node, value=2385","layer":4},{"info":"compute unary expreesion, input=2385, op_id = v0DYgG9ikt, unary_op_definition = 'a⊬⫿⊭ = { ((⨑⩽⪐(≤/a))↺((⨞⊢a)⨰(↽≂188))) , if a<119 ; (((∥⊫a)⨳⩥⨓(a⨵⪆a))↺(⊄⩳↩(a⋝⋈⪟a))) , else }', output=-7155","layer":3},{"info":"number node, value=6497","layer":4},{"info":"number node, value=4321","layer":4},{"info":"compute binary expreesion, left_input=6497, right_input=4321, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=4321","layer":3},{"info":"compute binary expreesion, left_input=-7155, right_input=4321, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-13994","layer":2},{"info":"number node, value=2042","layer":4},{"info":"compute unary expreesion, input=2042, op_id = SpZWOsLKZJ, unary_op_definition = 'a⊚⫡⫭ = { (((∥⊫a)≧⫂∧(≉a))⪨≂((177-a)≋⫹)) }', output=-3158","layer":3},{"info":"number node, value=2310","layer":4},{"info":"compute unary expreesion, input=2310, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2310","layer":3},{"info":"compute binary expreesion, left_input=-3158, right_input=2310, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=3191","layer":2},{"info":"compute binary expreesion, left_input=-13994, right_input=3191, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=34375","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=34375, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":0}],"base":7,"result_base":7,"text":"(⇤←(⨈⪑≴∭⊉26105)⇴∐(≴∭⊉3261⪕≴∭⊉3122))⫚↹⊑(≴∭⊉6645⊬⫿⊭)⫣⪄⊒(≴∭⊉24641⨔⇊≴∭⊉15412)⊭↱(≴∭⊉5645⊚⫡⫭)⫰⋱(≦∁≴∭⊉6510)=≴∭⊉-1206","reverse_text":"≴∭⊉-1206=(⇤←(⨈⪑≴∭⊉26105)⇴∐(≴∭⊉3261⪕≴∭⊉3122))⫚↹⊑(≴∭⊉6645⊬⫿⊭)⫣⪄⊒(≴∭⊉24641⨔⇊≴∭⊉15412)⊭↱(≴∭⊉5645⊚⫡⫭)⫰⋱(≦∁≴∭⊉6510)","cot":[{"info":"⨈⪑≴∭⊉26105=≴∭⊉2350","layer":3},{"info":"≴∭⊉3261⪕≴∭⊉3122=≴∭⊉6155","layer":3},{"info":"≴∭⊉2350⇴∐≴∭⊉6155=NaN","layer":2},{"info":"⇤←NaN=NaN","layer":1},{"info":"≴∭⊉6645⊬⫿⊭=≴∭⊉-26601","layer":3},{"info":"≴∭⊉24641⨔⇊≴∭⊉15412=≴∭⊉15412","layer":3},{"info":"≴∭⊉-26601⫣⪄⊒≴∭⊉15412=≴∭⊉-55541","layer":2},{"info":"≴∭⊉5645⊚⫡⫭=≴∭⊉-12131","layer":3},{"info":"≦∁≴∭⊉6510=≴∭⊉6510","layer":3},{"info":"≴∭⊉-12131⫰⋱≴∭⊉6510=≴∭⊉12206","layer":2},{"info":"≴∭⊉-55541⊭↱≴∭⊉12206=≴∭⊉202135","layer":1},{"info":"NaN⫚↹⊑≴∭⊉202135=≴∭⊉-1206","layer":0}]}
+{"id":16,"expression_no_base_symbol":"↞≼(⨡↴(⋗⩬⋾(∂⩏⊆$7678$)))","expression":"↞≼(⨡↴(⋗⩬⋾(∂⩏⊆≴∭⊉31246)))","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":29,"operation_count":4,"complexity_ratio":7.25,"tree":{"type":"unary","operator":"↞≼","unary_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"numeric_atoms","value":7678,"base":7}}}}},"used_operators":["DE7zCoGJt9","liw5iZPkLH","DpFCA1CohY","8WDwsbhb0R"],"dependent_operators":["W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","W4YGzv6Whe","P8v4zCKN1o","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","14qkJME0vr","eLAdDNolq6"],"result":"≴∭⊉4532332","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=7678","layer":4},{"info":"compute unary expreesion, input=7678, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-23113","layer":3},{"info":"compute unary expreesion, input=-23113, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=69339","layer":2},{"info":"compute unary expreesion, input=69339, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=70388","layer":1},{"info":"compute unary expreesion, input=70388, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=562690","layer":0}],"base":7,"result_base":7,"text":"↞≼(⨡↴(⋗⩬⋾(∂⩏⊆≴∭⊉31246)))=≴∭⊉4532332","reverse_text":"≴∭⊉4532332=↞≼(⨡↴(⋗⩬⋾(∂⩏⊆≴∭⊉31246)))","cot":[{"info":"∂⩏⊆≴∭⊉31246=≴∭⊉-124246","layer":3},{"info":"⋗⩬⋾≴∭⊉-124246=≴∭⊉406104","layer":2},{"info":"⨡↴≴∭⊉406104=≴∭⊉412133","layer":1},{"info":"↞≼≴∭⊉412133=≴∭⊉4532332","layer":0}]}
+{"id":17,"expression_no_base_symbol":"⨛$3408$↹⊜$3552$≚⊃≕$1146$⊋$2733$↼⊘⨖($3084$⪨⊡$4066$)↞⋁(≦∁$3988$)","expression":"⨛≴∭⊉12636↹⊜≴∭⊉13233≚⊃≕≴∭⊉3225⊋≴∭⊉10653↼⊘⨖(≴∭⊉11664⪨⊡≴∭⊉14566)↞⋁(≦∁≴∭⊉14425)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3416,"operation_count":8,"complexity_ratio":427.0,"tree":{"type":"unary","operator":"⨛","unary_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":3408,"base":7},"right_expr":{"type":"numeric_atoms","value":3552,"base":7}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":1146,"base":7},"right_expr":{"type":"numeric_atoms","value":2733,"base":7}}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":3084,"base":7},"right_expr":{"type":"numeric_atoms","value":4066,"base":7}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":3988,"base":7}}}}},"used_operators":["CoMdbyAt7R","bPywburJMS","Bmrmz2XGnR","9bazX3JMtO","W4tP9CfskL","RqrPlJkxDo","kuIXHzHcAH","9ICcGScMcE"],"dependent_operators":["U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3408","layer":4},{"info":"number node, value=3552","layer":4},{"info":"compute binary expreesion, left_input=3408, right_input=3552, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-7488","layer":3},{"info":"number node, value=1146","layer":4},{"info":"number node, value=2733","layer":4},{"info":"compute binary expreesion, left_input=1146, right_input=2733, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=-32848560","layer":3},{"info":"compute binary expreesion, left_input=-7488, right_input=-32848560, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=-65727238","layer":2},{"info":"number node, value=3084","layer":4},{"info":"number node, value=4066","layer":4},{"info":"compute binary expreesion, left_input=3084, right_input=4066, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=3988","layer":4},{"info":"compute unary expreesion, input=3988, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=3988","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=3988, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-65727238, right_input=nan, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"⨛≴∭⊉12636↹⊜≴∭⊉13233≚⊃≕≴∭⊉3225⊋≴∭⊉10653↼⊘⨖(≴∭⊉11664⪨⊡≴∭⊉14566)↞⋁(≦∁≴∭⊉14425)=NaN","reverse_text":"NaN=⨛≴∭⊉12636↹⊜≴∭⊉13233≚⊃≕≴∭⊉3225⊋≴∭⊉10653↼⊘⨖(≴∭⊉11664⪨⊡≴∭⊉14566)↞⋁(≦∁≴∭⊉14425)","cot":[{"info":"≴∭⊉12636↹⊜≴∭⊉13233=≴∭⊉-30555","layer":3},{"info":"≴∭⊉3225⊋≴∭⊉10653=≴∭⊉-546131253","layer":3},{"info":"≴∭⊉-30555≚⊃≕≴∭⊉-546131253=≴∭⊉-1425446413","layer":2},{"info":"≴∭⊉11664⪨⊡≴∭⊉14566=≴∭⊉0","layer":3},{"info":"≦∁≴∭⊉14425=≴∭⊉14425","layer":3},{"info":"≴∭⊉0↞⋁≴∭⊉14425=NaN","layer":2},{"info":"≴∭⊉-1425446413↼⊘⨖NaN=NaN","layer":1},{"info":"⨛NaN=NaN","layer":0}]}
+{"id":18,"expression_no_base_symbol":"(⇺⋃(-$2450$))⪢($1159$→⨶⪴$1515$⊔(↑$7199$))⪨⊡(($1277$⋥≓≎$4660$⊭↱($5634$⩹$1366$))⪄($6990$⋆⋳)⩍⋽⫝̸($4510$*$2304$))","expression":"(⇺⋃(-≴∭⊉10100))⪢(≴∭⊉3244→⨶⪴≴∭⊉4263⊔(↑≴∭⊉26663))⪨⊡((≴∭⊉3503⋥≓≎≴∭⊉16405⊭↱(≴∭⊉22266⩹≴∭⊉3661))⪄(≴∭⊉26244⋆⋳)⩍⋽⫝̸(≴∭⊉16102*≴∭⊉6501))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":19614,"operation_count":14,"complexity_ratio":1401.0,"tree":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":2450,"base":7}}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":1159,"base":7},"right_expr":{"type":"numeric_atoms","value":1515,"base":7}},"right_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"numeric_atoms","value":7199,"base":7}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1277,"base":7},"right_expr":{"type":"numeric_atoms","value":4660,"base":7}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":5634,"base":7},"right_expr":{"type":"numeric_atoms","value":1366,"base":7}}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"unary","operator":"⋆⋳","unary_expr":{"type":"numeric_atoms","value":6990,"base":7}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":4510,"base":7},"right_expr":{"type":"numeric_atoms","value":2304,"base":7}}}}},"used_operators":["kuIXHzHcAH","dWAJyo7jo9","E5v5B3UAjG","t8gj7n24qd","E4l6HwMY31","bF6eod5Gvf","tR7O2zTn5j","SUmda5xLS4","COABgblf1C","Qy55tPpLXF","2Wsdkap16l","BiWNJpBvwn","6MpZysEj17","9HNa5Wba9A"],"dependent_operators":["JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","k8jYdgA6NY","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","8w2t5hMYqp","9FxExcQeMw","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","Ph9nP6C5qx","xUOZtlo3hN","9FxExcQeMw","7j4O788W3g","DIvbN7qnHd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2450","layer":4},{"info":"compute unary expreesion, input=2450, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-2450","layer":3},{"info":"compute unary expreesion, input=-2450, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":2},{"info":"number node, value=1159","layer":4},{"info":"number node, value=1515","layer":4},{"info":"compute binary expreesion, left_input=1159, right_input=1515, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-4545","layer":3},{"info":"number node, value=7199","layer":4},{"info":"compute unary expreesion, input=7199, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":3},{"info":"compute binary expreesion, left_input=-4545, right_input=192, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=17046","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=17046, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":1},{"info":"number node, value=1277","layer":4},{"info":"number node, value=4660","layer":4},{"info":"compute binary expreesion, left_input=1277, right_input=4660, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=8076","layer":3},{"info":"number node, value=5634","layer":4},{"info":"number node, value=1366","layer":4},{"info":"compute binary expreesion, left_input=5634, right_input=1366, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=1364","layer":3},{"info":"compute binary expreesion, left_input=8076, right_input=1364, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-13419","layer":2},{"info":"number node, value=6990","layer":4},{"info":"compute unary expreesion, input=6990, op_id = 6MpZysEj17, unary_op_definition = 'a⋆⋳ = { ((a⊠≄⫣)⩷∴(a↺a)) }', output=-14012","layer":3},{"info":"number node, value=4510","layer":4},{"info":"number node, value=2304","layer":4},{"info":"compute binary expreesion, left_input=4510, right_input=2304, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=10391040","layer":3},{"info":"compute binary expreesion, left_input=-14012, right_input=10391040, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=10390094","layer":2},{"info":"compute binary expreesion, left_input=-13419, right_input=10390094, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=3979, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(⇺⋃(-≴∭⊉10100))⪢(≴∭⊉3244→⨶⪴≴∭⊉4263⊔(↑≴∭⊉26663))⪨⊡((≴∭⊉3503⋥≓≎≴∭⊉16405⊭↱(≴∭⊉22266⩹≴∭⊉3661))⪄(≴∭⊉26244⋆⋳)⩍⋽⫝̸(≴∭⊉16102*≴∭⊉6501))=NaN","reverse_text":"NaN=(⇺⋃(-≴∭⊉10100))⪢(≴∭⊉3244→⨶⪴≴∭⊉4263⊔(↑≴∭⊉26663))⪨⊡((≴∭⊉3503⋥≓≎≴∭⊉16405⊭↱(≴∭⊉22266⩹≴∭⊉3661))⪄(≴∭⊉26244⋆⋳)⩍⋽⫝̸(≴∭⊉16102*≴∭⊉6501))","cot":[{"info":"-≴∭⊉10100=≴∭⊉-10100","layer":3},{"info":"⇺⋃≴∭⊉-10100=NaN","layer":2},{"info":"≴∭⊉3244→⨶⪴≴∭⊉4263=≴∭⊉-16152","layer":3},{"info":"↑≴∭⊉26663=≴∭⊉363","layer":3},{"info":"≴∭⊉-16152⊔≴∭⊉363=≴∭⊉100461","layer":2},{"info":"NaN⪢≴∭⊉100461=NaN","layer":1},{"info":"≴∭⊉3503⋥���≎≴∭⊉16405=≴∭⊉32355","layer":3},{"info":"≴∭⊉22266⩹≴∭⊉3661=≴∭⊉3656","layer":3},{"info":"≴∭⊉32355⊭↱≴∭⊉3656=≴∭⊉-54060","layer":2},{"info":"≴∭⊉26244⋆⋳=≴∭⊉-55565","layer":3},{"info":"≴∭⊉16102*≴∭⊉6501=≴∭⊉154215402","layer":3},{"info":"≴∭⊉-55565⩍⋽⫝̸≴∭⊉154215402=≴∭⊉154212551","layer":2},{"info":"≴∭⊉-54060⪄≴∭⊉154212551=≴∭⊉14413","layer":1},{"info":"NaN⪨⊡≴∭⊉14413=NaN","layer":0}]}
+{"id":19,"expression_no_base_symbol":"(($2411$⩨$2487$)⇴∐($3215$⫦⪉$1015$))⩍⋽⫝̸(($1283$≬⋮$1286$)⊹∫⫚($3686$⪭≯$8315$))⋾⨃∁(($1654$≬⇓$2539$)≒∊(≅≯⇸$6549$))⩁⩘(∓⪦$5511$)≌($4161$⋹)","expression":"((≴∭⊉10013⩨≴∭⊉10152)⇴∐(≴∭⊉12242⫦⪉≴∭⊉2650))⩍⋽⫝̸((≴∭⊉3512≬⋮≴∭⊉3515)⊹∫⫚(≴∭⊉13514⪭≯≴∭⊉33146))⋾⨃∁((≴∭⊉4552≬⇓≴∭⊉10255)≒∊(≅≯⇸≴∭⊉25044))⩁⩘(∓⪦≴∭⊉22032)≌(≴∭⊉15063⋹)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":38635,"operation_count":15,"complexity_ratio":2575.6666666666665,"tree":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2411,"base":7},"right_expr":{"type":"numeric_atoms","value":2487,"base":7}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":3215,"base":7},"right_expr":{"type":"numeric_atoms","value":1015,"base":7}}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":1283,"base":7},"right_expr":{"type":"numeric_atoms","value":1286,"base":7}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":3686,"base":7},"right_expr":{"type":"numeric_atoms","value":8315,"base":7}}}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":1654,"base":7},"right_expr":{"type":"numeric_atoms","value":2539,"base":7}},"right_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"numeric_atoms","value":6549,"base":7}}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"numeric_atoms","value":5511,"base":7}},"right_expr":{"type":"unary","operator":"⋹","unary_expr":{"type":"numeric_atoms","value":4161,"base":7}}}}},"used_operators":["212REbPD9h","BiWNJpBvwn","HnzytWxmAO","2DlMacCsIx","wscyQdcy20","uWAJUKEvyW","kbkesczE7y","XAx5wpdLa6","gub5Cegaqo","5KTvxBwnZo","jWTQ2TZYIH","apS25hmuAe","lyWz822IDG","D309nIvmXG","opAxDRczMr"],"dependent_operators":["eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","Ph9nP6C5qx","xUOZtlo3hN","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","DpFCA1CohY","IWmyXbctLI","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","EBcxylXtPf","QMFrweE19q","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","13rbtpv6ld","mp7IySMOzn","z63VuFQld9","aN9a90urxU","27wFxooxGf","SVb2v531z1","eewbuw0ToL"],"result":"Inf","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2411","layer":4},{"info":"number node, value=2487","layer":4},{"info":"compute binary expreesion, left_input=2411, right_input=2487, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"number node, value=3215","layer":4},{"info":"number node, value=1015","layer":4},{"info":"compute binary expreesion, left_input=3215, right_input=1015, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-1530","layer":3},{"info":"compute binary expreesion, left_input=-3, right_input=-1530, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=-116","layer":2},{"info":"number node, value=1283","layer":4},{"info":"number node, value=1286","layer":4},{"info":"compute binary expreesion, left_input=1283, right_input=1286, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"number node, value=3686","layer":4},{"info":"number node, value=8315","layer":4},{"info":"compute binary expreesion, left_input=3686, right_input=8315, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=nan, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-116, right_input=nan, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=nan","layer":1},{"info":"number node, value=1654","layer":4},{"info":"number node, value=2539","layer":4},{"info":"compute binary expreesion, left_input=1654, right_input=2539, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":3},{"info":"number node, value=6549","layer":4},{"info":"compute unary expreesion, input=6549, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=33873","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=33873, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=506","layer":2},{"info":"number node, value=5511","layer":4},{"info":"compute unary expreesion, input=5511, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=5103","layer":3},{"info":"number node, value=4161","layer":4},{"info":"compute unary expreesion, input=4161, op_id = opAxDRczMr, unary_op_definition = 'a⋹ = { ((⨴⫝a)⇷(a↤⩊a)) , if (a≃⋄)<20 or (⊢≑≆a)<=20 ; ((a⨰a)∧) , else }', output=-20","layer":3},{"info":"compute binary expreesion, left_input=5103, right_input=-20, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=9148","layer":2},{"info":"compute binary expreesion, left_input=506, right_input=9148, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=37540","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=37540, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=inf","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉10013⩨≴∭⊉10152)⇴∐(≴∭⊉12242⫦⪉≴∭⊉2650))⩍⋽⫝̸((≴∭⊉3512≬⋮≴∭⊉3515)⊹∫⫚(≴∭⊉13514⪭≯≴∭⊉33146))⋾⨃∁((≴∭⊉4552≬⇓≴∭⊉10255)≒∊(≅≯⇸≴∭⊉25044))⩁⩘(∓⪦≴∭⊉22032)≌(≴∭⊉15063⋹)=Inf","reverse_text":"Inf=((≴∭⊉10013⩨≴∭⊉10152)⇴∐(≴∭⊉12242⫦⪉≴∭⊉2650))⩍⋽⫝̸((≴∭⊉3512≬⋮≴∭⊉3515)⊹∫⫚(≴∭⊉13514⪭≯≴∭⊉33146))⋾⨃∁((≴∭⊉4552≬⇓≴∭⊉10255)≒∊(≅≯⇸≴∭⊉25044))⩁⩘(∓⪦≴∭⊉22032)≌(≴∭⊉15063⋹)","cot":[{"info":"≴∭⊉10013⩨≴∭⊉10152=≴∭⊉-3","layer":3},{"info":"≴∭⊉12242⫦⪉≴∭⊉2650=≴∭⊉-4314","layer":3},{"info":"≴∭⊉-3⇴∐≴∭⊉-4314=≴∭⊉-224","layer":2},{"info":"≴∭⊉3512≬⋮≴∭⊉3515=≴∭⊉2350","layer":3},{"info":"≴∭⊉13514⪭≯≴∭⊉33146=NaN","layer":3},{"info":"≴∭⊉2350⊹∫⫚NaN=NaN","layer":2},{"info":"≴∭⊉-224⩍⋽⫝̸NaN=NaN","layer":1},{"info":"≴∭⊉4552≬⇓≴∭⊉10255=≴∭⊉-31","layer":3},{"info":"≅≯⇸≴∭⊉25044=≴∭⊉200520","layer":3},{"info":"≴∭⊉-31≒∊≴∭⊉200520=≴∭⊉1322","layer":2},{"info":"∓⪦≴∭⊉22032=≴∭⊉20610","layer":3},{"info":"≴∭⊉15063⋹=≴∭⊉-26","layer":3},{"info":"≴∭⊉20610≌≴∭⊉-26=≴∭⊉35446","layer":2},{"info":"≴∭⊉1322⩁⩘≴∭⊉35446=≴∭⊉214306","layer":1},{"info":"NaN⋾⨃∁≴∭⊉214306=Inf","layer":0}]}
+{"id":20,"expression_no_base_symbol":"⊽(($4693$⪘⫢$3313$)⨽∌($4339$⪚$2680$)⊭↱(⫖→$1438$)⋭≵$2743$⪔⊥$5594$)","expression":"⊽((≴∭⊉16453⪘⫢≴∭⊉12442)⨽∌(≴∭⊉15436⪚≴∭⊉10546)⊭↱(⫖→≴∭⊉4123)⋭≵≴∭⊉10666⪔⊥≴∭⊉22211)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1792,"operation_count":8,"complexity_ratio":224.0,"tree":{"type":"unary","operator":"⊽","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":4693,"base":7},"right_expr":{"type":"numeric_atoms","value":3313,"base":7}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":4339,"base":7},"right_expr":{"type":"numeric_atoms","value":2680,"base":7}}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"numeric_atoms","value":1438,"base":7}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":2743,"base":7},"right_expr":{"type":"numeric_atoms","value":5594,"base":7}}}}},"used_operators":["QxG7OkqoLX","COABgblf1C","9samAPKr6k","oacrs7FA3X","HrjLwUk87U","jBncVCNhdl","U4ylXWHChL","HJ9erzHUuu"],"dependent_operators":["g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","W4YGzv6Whe","t8gj7n24qd","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C"],"result":"≴∭⊉4532","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4693","layer":4},{"info":"number node, value=3313","layer":4},{"info":"compute binary expreesion, left_input=4693, right_input=3313, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=9262","layer":3},{"info":"number node, value=4339","layer":4},{"info":"number node, value=2680","layer":4},{"info":"compute binary expreesion, left_input=4339, right_input=2680, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=2962","layer":3},{"info":"compute binary expreesion, left_input=9262, right_input=2962, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":2},{"info":"number node, value=1438","layer":4},{"info":"compute unary expreesion, input=1438, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":3},{"info":"number node, value=2743","layer":4},{"info":"number node, value=5594","layer":4},{"info":"compute binary expreesion, left_input=2743, right_input=5594, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=-415","layer":3},{"info":"compute binary expreesion, left_input=177, right_input=-415, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=27","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=27, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=59","layer":1},{"info":"compute unary expreesion, input=59, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=1640","layer":0}],"base":7,"result_base":7,"text":"⊽((≴∭⊉16453⪘⫢≴∭⊉12442)⨽∌(≴∭⊉15436⪚≴∭⊉10546)⊭↱(⫖→≴∭⊉4123)⋭≵≴∭⊉10666⪔⊥≴∭⊉22211)=≴∭⊉4532","reverse_text":"≴∭⊉4532=⊽((≴∭⊉16453⪘⫢≴∭⊉12442)⨽∌(≴∭⊉15436⪚≴∭⊉10546)⊭↱(⫖→≴∭⊉4123)⋭≵≴∭⊉10666⪔⊥≴∭⊉22211)","cot":[{"info":"≴∭⊉16453⪘⫢≴∭⊉12442=≴∭⊉36001","layer":3},{"info":"≴∭⊉15436⪚≴∭⊉10546=≴∭⊉11431","layer":3},{"info":"≴∭⊉36001⨽∌≴∭⊉11431=≴∭⊉0","layer":2},{"info":"⫖→≴∭⊉4123=≴∭⊉342","layer":3},{"info":"≴∭⊉10666⪔⊥≴∭⊉22211=≴∭⊉-1132","layer":3},{"info":"≴∭⊉342⋭≵≴∭⊉-1132=≴∭⊉36","layer":2},{"info":"≴∭⊉0⊭↱≴∭⊉36=≴∭⊉113","layer":1},{"info":"⊽≴∭⊉113=≴∭⊉4532","layer":0}]}
+{"id":21,"expression_no_base_symbol":"(($4442$↤⩊$3191$)⪬($1268$⩇∃⫛$7846$)⩚⊴⇥($1386$⪨⊡$1036$⪄$1571$↬$1048$))↬(⪝⪂⫅($2146$∝$1359$))⨥⫆($4168$⨎$2530$⫡⨏$3528$⋥⋵⩄$6704$)","expression":"((≴∭⊉15644↤⩊≴∭⊉12206)⪬(≴∭⊉3461⩇∃⫛≴∭⊉31606)⩚⊴⇥(≴∭⊉4020⪨⊡≴∭⊉3010⪄≴∭⊉4403↬≴∭⊉3025))↬(⪝⪂⫅(≴∭⊉6154∝≴∭⊉3651))⨥⫆(≴∭⊉15103⨎≴∭⊉10243⫡⨏≴∭⊉13200⋥⋵⩄≴∭⊉25355)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":994,"operation_count":14,"complexity_ratio":71.0,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":4442,"base":7},"right_expr":{"type":"numeric_atoms","value":3191,"base":7}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":1268,"base":7},"right_expr":{"type":"numeric_atoms","value":7846,"base":7}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":1386,"base":7},"right_expr":{"type":"numeric_atoms","value":1036,"base":7}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1571,"base":7},"right_expr":{"type":"numeric_atoms","value":1048,"base":7}}}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":2146,"base":7},"right_expr":{"type":"numeric_atoms","value":1359,"base":7}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":4168,"base":7},"right_expr":{"type":"numeric_atoms","value":2530,"base":7}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":3528,"base":7},"right_expr":{"type":"numeric_atoms","value":6704,"base":7}}}}},"used_operators":["B5M0gjZbta","NTOWxs364D","Ez1Nq5fNfI","13rbtpv6ld","1aApVXNlOP","SUmda5xLS4","kuIXHzHcAH","yXekIHxTD4","XTarYq4gQB","cTDWOvIxvz","QMFrweE19q","rJVOvQCfKK","7t3wd0Fuz7"],"dependent_operators":["rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","9HNa5Wba9A","8w2t5hMYqp","7j4O788W3g","W4YGzv6Whe","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4442","layer":4},{"info":"number node, value=3191","layer":4},{"info":"compute binary expreesion, left_input=4442, right_input=3191, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"number node, value=1268","layer":4},{"info":"number node, value=7846","layer":4},{"info":"compute binary expreesion, left_input=1268, right_input=7846, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=7051","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7051, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"number node, value=1386","layer":4},{"info":"number node, value=1036","layer":4},{"info":"compute binary expreesion, left_input=1386, right_input=1036, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=1571","layer":4},{"info":"number node, value=1048","layer":4},{"info":"compute binary expreesion, left_input=1571, right_input=1048, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"number node, value=2146","layer":4},{"info":"number node, value=1359","layer":4},{"info":"compute binary expreesion, left_input=2146, right_input=1359, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=2151","layer":3},{"info":"compute unary expreesion, input=2151, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-316197","layer":2},{"info":"number node, value=4168","layer":4},{"info":"number node, value=2530","layer":4},{"info":"compute binary expreesion, left_input=4168, right_input=2530, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2530","layer":3},{"info":"number node, value=3528","layer":4},{"info":"number node, value=6704","layer":4},{"info":"compute binary expreesion, left_input=3528, right_input=6704, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=2530, right_input=113, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=13659","layer":2},{"info":"compute binary expreesion, left_input=-316197, right_input=13659, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=-1","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉15644↤⩊≴∭⊉12206)⪬(≴∭⊉3461⩇∃⫛≴∭⊉31606)⩚⊴⇥(≴∭⊉4020⪨⊡≴∭⊉3010⪄≴∭⊉4403↬≴∭⊉3025))↬(⪝⪂⫅(≴∭⊉6154∝≴∭⊉3651))⨥⫆(≴∭⊉15103⨎≴∭⊉10243⫡⨏≴∭⊉13200⋥⋵⩄≴∭⊉25355)=NaN","reverse_text":"NaN=((≴∭⊉15644↤⩊≴∭⊉12206)⪬(≴∭⊉3461⩇∃⫛≴∭⊉31606)⩚⊴⇥(≴∭⊉4020⪨⊡≴∭⊉3010⪄≴∭⊉4403↬≴∭⊉3025))↬(⪝⪂⫅(≴∭⊉6154∝≴∭⊉3651))⨥⫆(≴∭⊉15103⨎≴∭⊉10243⫡⨏≴∭⊉13200⋥⋵⩄≴∭⊉25355)","cot":[{"info":"≴∭⊉15644↤⩊≴∭⊉12206=NaN","layer":3},{"info":"≴∭⊉3461⩇∃⫛≴∭⊉31606=≴∭⊉26362","layer":3},{"info":"NaN⪬≴∭⊉26362=≴∭⊉3412","layer":2},{"info":"≴∭⊉4020⪨⊡≴∭⊉3010=≴∭⊉0","layer":3},{"info":"≴∭⊉4403↬≴∭⊉3025=NaN","layer":3},{"info":"≴∭⊉0⪄NaN=NaN","layer":2},{"info":"≴∭⊉3412⩚⊴⇥NaN=NaN","layer":1},{"info":"≴∭⊉6154∝≴∭⊉3651=≴∭⊉6162","layer":3},{"info":"⪝⪂⫅≴∭⊉6162=≴∭⊉-2454600","layer":2},{"info":"≴∭⊉15103⨎≴∭⊉10243=≴∭⊉10243","layer":3},{"info":"≴∭⊉13200⋥⋵⩄≴∭⊉25355=≴∭⊉221","layer":3},{"info":"≴∭⊉10243⫡⨏≴∭⊉221=≴∭⊉54552","layer":2},{"info":"≴∭⊉-2454600⨥⫆≴∭⊉54552=≴∭⊉-1","layer":1},{"info":"NaN↬≴∭⊉-1=NaN","layer":0}]}
+{"id":22,"expression_no_base_symbol":"⪸((≱⇩⩕$1217$)⋛($1315$⋝⋈⪟$1698$)⨰((↑$1448$)⫩⊇))","expression":"⪸((≱⇩⩕≴∭⊉3356)⋛(≴∭⊉3556⋝⋈⪟≴∭⊉4644)⨰((↑≴∭⊉4136)⫩⊇))","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":375,"operation_count":7,"complexity_ratio":53.57142857142857,"tree":{"type":"unary","operator":"⪸","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"numeric_atoms","value":1217,"base":7}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1315,"base":7},"right_expr":{"type":"numeric_atoms","value":1698,"base":7}}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"numeric_atoms","value":1448,"base":7}}}}},"used_operators":["86A5ENbKR9","eewbuw0ToL","YbUVn0Rbpy","3DZMoQKiUl","2DDjHMKMc0","BjRHVeLaeN","tR7O2zTn5j"],"dependent_operators":["Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx"],"result":"≴∭⊉13311225","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1217","layer":4},{"info":"compute unary expreesion, input=1217, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":3},{"info":"number node, value=1315","layer":4},{"info":"number node, value=1698","layer":4},{"info":"compute binary expreesion, left_input=1315, right_input=1698, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1315","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=1315, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-123327","layer":2},{"info":"number node, value=1448","layer":4},{"info":"compute unary expreesion, input=1448, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":3},{"info":"compute unary expreesion, input=192, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-150","layer":2},{"info":"compute binary expreesion, left_input=-123327, right_input=-150, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-123167","layer":1},{"info":"compute unary expreesion, input=-123167, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=1229772","layer":0}],"base":7,"result_base":7,"text":"⪸((≱⇩⩕≴∭⊉3356)⋛(≴∭⊉3556⋝⋈⪟≴∭⊉4644)⨰((↑≴∭⊉4136)⫩⊇))=≴∭⊉13311225","reverse_text":"≴∭⊉13311225=⪸((≱⇩⩕≴∭⊉3356)⋛(≴∭⊉3556⋝⋈⪟≴∭⊉4644)⨰((↑≴∭⊉4136)⫩⊇))","cot":[{"info":"≱⇩⩕≴∭⊉3356=≴∭⊉221","layer":3},{"info":"≴∭⊉3556⋝⋈⪟≴∭⊉4644=≴∭⊉3556","layer":3},{"info":"≴∭⊉221⋛≴∭⊉3556=≴∭⊉-1022361","layer":2},{"info":"↑≴∭⊉4136=≴∭⊉363","layer":3},{"info":"≴∭⊉363⫩⊇=≴∭⊉-303","layer":2},{"info":"≴∭⊉-1022361⨰≴∭⊉-303=≴∭⊉-1022042","layer":1},{"info":"⪸≴∭⊉-1022042=≴∭⊉13311225","layer":0}]}
+{"id":23,"expression_no_base_symbol":"≸(⩷⨜⫀(($1347$≝⊰⇂)⪛⫼(⊥$1209$)))","expression":"≸(⩷⨜⫀((≴∭⊉3633≝⊰⇂)⪛⫼(⊥≴∭⊉3345)))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":1585,"operation_count":5,"complexity_ratio":317.0,"tree":{"type":"unary","operator":"≸","unary_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"unary","operator":"≝⊰⇂","unary_expr":{"type":"numeric_atoms","value":1347,"base":7}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1209,"base":7}}}}},"used_operators":["eOf03JbCpp","CDi0ktkjQ4","hyuBjUqXlG","htSmYCowi5","Q3PJZHRvZv"],"dependent_operators":["WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","ruOEQAzv1W","nhYeJWJD5X","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","9FxExcQeMw","DlLNRPXxWL","fu6greOZ01"],"result":"≴∭⊉1011","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1347","layer":4},{"info":"compute unary expreesion, input=1347, op_id = htSmYCowi5, unary_op_definition = 'a≝⊰⇂ = { (a⩷∴51) , if a<491 ; (⫛⫱⨽a) , else }', output=0","layer":3},{"info":"number node, value=1209","layer":4},{"info":"compute unary expreesion, input=1209, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-134","layer":1},{"info":"compute unary expreesion, input=-134, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=351","layer":0}],"base":7,"result_base":7,"text":"≸(⩷⨜⫀((≴∭⊉3633≝⊰⇂)⪛⫼(⊥≴∭⊉3345)))=≴∭⊉1011","reverse_text":"≴∭⊉1011=≸(⩷⨜⫀((≴∭⊉3633≝⊰⇂)⪛⫼(⊥≴∭⊉3345)))","cot":[{"info":"≴∭⊉3633≝⊰⇂=≴∭⊉0","layer":3},{"info":"⊥≴∭⊉3345=NaN","layer":3},{"info":"≴∭⊉0⪛⫼NaN=NaN","layer":2},{"info":"⩷⨜⫀NaN=≴∭⊉-251","layer":1},{"info":"≸≴∭⊉-251=≴∭⊉1011","layer":0}]}
+{"id":24,"expression_no_base_symbol":"((⪹($1086$⪶≀⋏$1702$))∽(∜⨇($4495$⪒⊣⊆$3015$)))⪭≯((⫛⫱⨽($3684$∠⫱$2117$))⩘⨬⇊)","expression":"((⪹(≴∭⊉3111⪶≀⋏≴∭⊉4651))∽(∜⨇(≴∭⊉16051⪒⊣⊆≴∭⊉11535)))⪭≯((⫛⫱⨽(≴∭⊉13512∠⫱≴∭⊉6113))⩘⨬⇊)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2231,"operation_count":9,"complexity_ratio":247.88888888888889,"tree":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"∽","left_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":1086,"base":7},"right_expr":{"type":"numeric_atoms","value":1702,"base":7}}},"right_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":4495,"base":7},"right_expr":{"type":"numeric_atoms","value":3015,"base":7}}}},"right_expr":{"type":"unary","operator":"⩘⨬⇊","unary_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":3684,"base":7},"right_expr":{"type":"numeric_atoms","value":2117,"base":7}}}}},"used_operators":["XAx5wpdLa6","y4ImoPnbV5","USyYr0JgAa","zR4jO40bMj","uFPyJr306J","eRqsBgTDFp","XXmTpEpWTW","DlLNRPXxWL","QvoQhV0rrE"],"dependent_operators":["9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","NTOWxs364D","QMFrweE19q","tifHPKVTfV","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","sdazOOVcIp","W4YGzv6Whe","rxpJgHHUmx","HnzytWxmAO","8cLx32lpNA","rGHVDoGpnC","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1086","layer":4},{"info":"number node, value=1702","layer":4},{"info":"compute binary expreesion, left_input=1086, right_input=1702, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-6894","layer":3},{"info":"compute unary expreesion, input=-6894, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=7074","layer":2},{"info":"number node, value=4495","layer":4},{"info":"number node, value=3015","layer":4},{"info":"compute binary expreesion, left_input=4495, right_input=3015, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=8990","layer":3},{"info":"compute unary expreesion, input=8990, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=7074, right_input=nan, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=nan","layer":1},{"info":"number node, value=3684","layer":4},{"info":"number node, value=2117","layer":4},{"info":"compute binary expreesion, left_input=3684, right_input=2117, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = XXmTpEpWTW, unary_op_definition = 'a⩘⨬⇊ = { ((a⇴∐a)∌(a≭31)) }', output=-1798","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1798, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((⪹(≴∭⊉3111⪶≀⋏≴∭⊉4651))∽(∜⨇(≴∭⊉16051⪒⊣⊆≴∭⊉11535)))⪭≯((⫛⫱⨽(≴∭⊉13512∠⫱≴∭⊉6113))⩘⨬⇊)=NaN","reverse_text":"NaN=((⪹(≴∭⊉3111⪶≀⋏≴∭⊉4651))∽(∜⨇(≴∭⊉16051⪒⊣⊆≴∭⊉11535)))⪭≯((⫛⫱⨽(≴∭⊉13512∠⫱≴∭⊉6113))⩘⨬⇊)","cot":[{"info":"≴∭⊉3111⪶≀⋏≴∭⊉4651=≴∭⊉-26046","layer":3},{"info":"⪹≴∭⊉-26046=≴∭⊉26424","layer":2},{"info":"≴∭⊉16051⪒⊣⊆≴∭⊉11535=≴∭⊉35132","layer":3},{"info":"∜⨇≴∭⊉35132=NaN","layer":2},{"info":"≴∭⊉26424∽NaN=NaN","layer":1},{"info":"≴∭⊉13512∠⫱≴∭⊉6113=≴∭⊉3412","layer":3},{"info":"⫛⫱⨽≴∭⊉3412=≴∭⊉0","layer":2},{"info":"≴∭⊉0⩘⨬⇊=≴∭⊉-5146","layer":1},{"info":"NaN⪭≯≴∭⊉-5146=NaN","layer":0}]}
+{"id":25,"expression_no_base_symbol":"((≸≮$1478$)≠≀$1482$≀⫉$1015$-($3211$⇆⨓≜)⪘⫢$5813$+⪬∐$1858$)⩁⩘(⇙⪊(⇜$1654$)⨑⩅≇($2169$%$1049$))","expression":"((≸≮≴∭⊉4211)≠≀≴∭⊉4215≀⫉≴∭⊉2650-(≴∭⊉12235⇆⨓≜)⪘⫢≴∭⊉22643+⪬∐≴∭⊉5263)⩁⩘(⇙⪊(⇜≴∭⊉4552)⨑⩅≇(≴∭⊉6216%≴∭⊉3026))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":10674,"operation_count":12,"complexity_ratio":889.5,"tree":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"numeric_atoms","value":1478,"base":7}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":1482,"base":7},"right_expr":{"type":"numeric_atoms","value":1015,"base":7}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⇆⨓≜","unary_expr":{"type":"numeric_atoms","value":3211,"base":7}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":5813,"base":7},"right_expr":{"type":"numeric_atoms","value":1858,"base":7}}}},"right_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"numeric_atoms","value":1654,"base":7}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2169,"base":7},"right_expr":{"type":"numeric_atoms","value":1049,"base":7}}}}},"used_operators":["gub5Cegaqo","rysDP5nf3Z","IwW236VD4Y","AljMvE3RRm","oZj3VtZNQx","oacrs7FA3X","KvvgdUaMHJ","2GS7woTJqF","pB6Fcnrjim","h92wMvzauj","lFBm8KRb8F","k8jYdgA6NY"],"dependent_operators":["DpFCA1CohY","IWmyXbctLI","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","Uaa54Peajs","KYD54nUTWz","g55IO6H4Gj","D4vGDi5EA2","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1478","layer":4},{"info":"compute unary expreesion, input=1478, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=nan","layer":3},{"info":"number node, value=1482","layer":4},{"info":"number node, value=1015","layer":4},{"info":"compute binary expreesion, left_input=1482, right_input=1015, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2822, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=nan","layer":2},{"info":"number node, value=3211","layer":4},{"info":"compute unary expreesion, input=3211, op_id = KvvgdUaMHJ, unary_op_definition = 'a⇆⨓≜ = { (∂(a⫥∨⫟a)) }', output=nan","layer":3},{"info":"number node, value=5813","layer":4},{"info":"number node, value=1858","layer":4},{"info":"compute binary expreesion, left_input=5813, right_input=1858, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-17439","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-17439, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=1654","layer":4},{"info":"compute unary expreesion, input=1654, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-13640","layer":3},{"info":"number node, value=2169","layer":4},{"info":"number node, value=1049","layer":4},{"info":"compute binary expreesion, left_input=2169, right_input=1049, op_id = k8jYdgA6NY binary_op_definition= 'None', output=71","layer":3},{"info":"compute binary expreesion, left_input=-13640, right_input=71, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-55","layer":2},{"info":"compute unary expreesion, input=-55, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((≸≮≴∭⊉4211)≠≀≴∭⊉4215≀⫉≴∭⊉2650-(≴∭⊉12235⇆⨓≜)⪘⫢≴∭⊉22643+⪬∐≴∭⊉5263)⩁⩘(⇙⪊(⇜≴∭⊉4552)⨑⩅≇(≴∭⊉6216%≴∭⊉3026))=NaN","reverse_text":"NaN=((≸≮≴∭⊉4211)≠≀≴∭⊉4215≀⫉≴∭⊉2650-(≴∭⊉12235⇆⨓≜)⪘⫢≴∭⊉22643+⪬∐≴∭⊉5263)⩁⩘(⇙⪊(⇜≴∭⊉4552)⨑⩅≇(≴∭⊉6216%≴∭⊉3026))","cot":[{"info":"≸≮≴∭⊉4211=NaN","layer":3},{"info":"≴∭⊉4215≀⫉≴∭⊉2650=≴∭⊉11141","layer":3},{"info":"NaN≠≀≴∭⊉11141=NaN","layer":2},{"info":"≴∭⊉12235⇆⨓≜=NaN","layer":3},{"info":"≴∭⊉22643+⪬∐≴∭⊉5263=≴∭⊉-101562","layer":3},{"info":"NaN⪘⫢≴∭⊉-101562=NaN","layer":2},{"info":"NaN-NaN=NaN","layer":1},{"info":"⇜≴∭⊉4552=≴∭⊉-54524","layer":3},{"info":"≴∭⊉6216%≴∭⊉3026=≴∭⊉131","layer":3},{"info":"≴∭⊉-54524⨑⩅≇≴∭⊉131=≴∭⊉-106","layer":2},{"info":"⇙⪊≴∭⊉-106=≴∭⊉0","layer":1},{"info":"NaN⩁⩘≴∭⊉0=NaN","layer":0}]}
+{"id":26,"expression_no_base_symbol":"((($1398$⇆⨓≜)⨳⩥⨓(⇋⊎⋝$1224$))⫠↝⫳)↼⊘⨖(($1534$⫲≸⪮$1907$)⫉⨲⊜($2973$⇮⋭$6301$)⩒⫫($3706$↬$1874$⇉⇉))","expression":"(((≴∭⊉4035⇆⨓≜)⨳⩥⨓(⇋⊎⋝≴∭⊉3366))⫠↝⫳)↼⊘⨖((≴∭⊉4321⫲≸⪮≴∭⊉5363)⫉⨲⊜(≴∭⊉11445⇮⋭≴∭⊉24241)⩒⫫(≴∭⊉13543↬≴∭⊉5315⇉⇉))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3077,"operation_count":11,"complexity_ratio":279.72727272727275,"tree":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"unary","operator":"⫠↝⫳","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"⇆⨓≜","unary_expr":{"type":"numeric_atoms","value":1398,"base":7}},"right_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"numeric_atoms","value":1224,"base":7}}}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":1534,"base":7},"right_expr":{"type":"numeric_atoms","value":1907,"base":7}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":2973,"base":7},"right_expr":{"type":"numeric_atoms","value":6301,"base":7}}},"right_expr":{"type":"unary","operator":"⇉⇉","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":3706,"base":7},"right_expr":{"type":"numeric_atoms","value":1874,"base":7}}}}},"used_operators":["bPywburJMS","8n5YIzOsVS","nCS4ZIUYfx","KvvgdUaMHJ","CzM2PEoXns","KFSx94NKJn","WhqkvtTD3t","P3lXMJvFrc","vkpjKywKVM","diKm42VcIt","B5M0gjZbta"],"dependent_operators":["9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","9FxExcQeMw","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","W4YGzv6Whe","rysDP5nf3Z","Uaa54Peajs","KYD54nUTWz","dWAJyo7jo9","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","eewbuw0ToL","zVYPLywUTj","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","RygbFNSyEJ","XPYlsWDdGa","k8jYdgA6NY","xUOZtlo3hN","AFVx7xoS7T","iuk5sVOGFA","86A5ENbKR9","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1398","layer":4},{"info":"compute unary expreesion, input=1398, op_id = KvvgdUaMHJ, unary_op_definition = 'a⇆⨓≜ = { (∂(a⫥∨⫟a)) }', output=nan","layer":3},{"info":"number node, value=1224","layer":4},{"info":"compute unary expreesion, input=1224, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 8n5YIzOsVS, unary_op_definition = 'a⫠↝⫳ = { (((a⨸⪁a)⩷∴(⩦⩻⨪a))⫡⨏a) }', output=nan","layer":1},{"info":"number node, value=1534","layer":4},{"info":"number node, value=1907","layer":4},{"info":"compute binary expreesion, left_input=1534, right_input=1907, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=1534","layer":3},{"info":"number node, value=2973","layer":4},{"info":"number node, value=6301","layer":4},{"info":"compute binary expreesion, left_input=2973, right_input=6301, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute binary expreesion, left_input=1534, right_input=-473, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=-583","layer":2},{"info":"number node, value=3706","layer":4},{"info":"number node, value=1874","layer":4},{"info":"compute binary expreesion, left_input=3706, right_input=1874, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = diKm42VcIt, unary_op_definition = 'a⇉⇉ = { (⪸(⨞⊢(a≦↸a))) , if (a⪣⫩)!=30 ; (a%(⪲⇎(a⇌⫙⪟156))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-583, right_input=nan, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(((≴∭⊉4035⇆⨓≜)⨳⩥⨓(⇋⊎⋝≴∭⊉3366))⫠↝⫳)↼⊘⨖((≴∭⊉4321⫲≸⪮≴∭⊉5363)⫉⨲⊜(≴∭⊉11445⇮⋭≴∭⊉24241)⩒⫫(≴∭⊉13543↬≴∭⊉5315⇉⇉))=NaN","reverse_text":"NaN=(((≴∭⊉4035⇆⨓≜)⨳⩥⨓(⇋⊎⋝≴∭⊉3366))⫠↝⫳)↼⊘⨖((≴∭⊉4321⫲≸⪮≴∭⊉5363)⫉⨲⊜(≴∭⊉11445⇮⋭≴∭⊉24241)⩒⫫(≴∭⊉13543↬≴∭⊉5315⇉⇉))","cot":[{"info":"≴∭⊉4035⇆⨓≜=NaN","layer":3},{"info":"⇋⊎⋝≴∭⊉3366=NaN","layer":3},{"info":"NaN⨳⩥⨓NaN=NaN","layer":2},{"info":"NaN⫠↝⫳=NaN","layer":1},{"info":"≴∭⊉4321⫲≸⪮≴∭⊉5363=≴∭⊉4321","layer":3},{"info":"≴∭⊉11445⇮⋭≴∭⊉24241=≴∭⊉-1244","layer":3},{"info":"≴∭⊉4321⫉⨲⊜≴∭⊉-1244=≴∭⊉-1462","layer":2},{"info":"≴∭⊉13543↬≴∭⊉5315=NaN","layer":3},{"info":"NaN⇉⇉=NaN","layer":2},{"info":"≴∭⊉-1462⩒⫫NaN=NaN","layer":1},{"info":"NaN↼⊘⨖NaN=NaN","layer":0}]}
+{"id":27,"expression_no_base_symbol":"($2325$↹⊜$5445$⩌⋺($4430$⋣⋖$3041$)⫡⨏(↽≂$7433$)⨫⇇↔$3033$⪥$1131$)⫌⩉⩟(⇙⪊(($2675$⇉⇉)⊲⩕⊾$2534$⩁⩘$1928$))","expression":"(≴∭⊉6531↹⊜≴∭⊉21606⩌⋺(≴∭⊉15626⋣⋖≴∭⊉11603)⫡⨏(↽≂≴∭⊉30446)⨫⇇↔≴∭⊉11562⪥≴∭⊉3204)⫌⩉⩟(⇙⪊((≴∭⊉10541⇉⇉)⊲⩕⊾≴∭⊉10250⩁⩘≴∭⊉5423))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1546,"operation_count":12,"complexity_ratio":128.83333333333334,"tree":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":2325,"base":7},"right_expr":{"type":"numeric_atoms","value":5445,"base":7}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":4430,"base":7},"right_expr":{"type":"numeric_atoms","value":3041,"base":7}}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":7433,"base":7}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":3033,"base":7},"right_expr":{"type":"numeric_atoms","value":1131,"base":7}}}},"right_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"unary","operator":"⇉⇉","unary_expr":{"type":"numeric_atoms","value":2675,"base":7}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":2534,"base":7},"right_expr":{"type":"numeric_atoms","value":1928,"base":7}}}}},"used_operators":["XIIwhv8d0m","QMFrweE19q","g7Hmc5v1ko","9bazX3JMtO","J0M6qkBnIM","LXhwmt4mBO","u6S6b8DprG","QbnwKVWMIQ","pB6Fcnrjim","DmTXOeWf9t","diKm42VcIt","gub5Cegaqo"],"dependent_operators":["B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","RygbFNSyEJ","XPYlsWDdGa","k8jYdgA6NY","xUOZtlo3hN","AFVx7xoS7T","iuk5sVOGFA","86A5ENbKR9","DpFCA1CohY","IWmyXbctLI"],"result":"≴∭⊉-101","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2325","layer":4},{"info":"number node, value=5445","layer":4},{"info":"compute binary expreesion, left_input=2325, right_input=5445, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-17226","layer":3},{"info":"number node, value=4430","layer":4},{"info":"number node, value=3041","layer":4},{"info":"compute binary expreesion, left_input=4430, right_input=3041, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=4430","layer":3},{"info":"compute binary expreesion, left_input=-17226, right_input=4430, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=12675","layer":2},{"info":"number node, value=7433","layer":4},{"info":"compute unary expreesion, input=7433, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-14866","layer":3},{"info":"number node, value=3033","layer":4},{"info":"number node, value=1131","layer":4},{"info":"compute binary expreesion, left_input=3033, right_input=1131, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=16784","layer":3},{"info":"compute binary expreesion, left_input=-14866, right_input=16784, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":2},{"info":"compute binary expreesion, left_input=12675, right_input=-527, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=63104","layer":1},{"info":"number node, value=2675","layer":4},{"info":"compute unary expreesion, input=2675, op_id = diKm42VcIt, unary_op_definition = 'a⇉⇉ = { (⪸(⨞⊢(a≦↸a))) , if (a⪣⫩)!=30 ; (a%(⪲⇎(a⇌⫙⪟156))) , else }', output=-167156","layer":3},{"info":"number node, value=2534","layer":4},{"info":"number node, value=1928","layer":4},{"info":"compute binary expreesion, left_input=2534, right_input=1928, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=8660","layer":3},{"info":"compute binary expreesion, left_input=-167156, right_input=8660, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-365498","layer":2},{"info":"compute unary expreesion, input=-365498, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=63104, right_input=0, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉6531↹⊜≴∭⊉21606⩌⋺(≴∭⊉15626⋣⋖≴∭⊉11603)⫡⨏(↽≂≴∭⊉30446)⨫⇇↔≴∭⊉11562⪥≴∭⊉3204)⫌⩉⩟(⇙⪊((≴∭⊉10541⇉⇉)⊲⩕⊾≴∭⊉10250⩁⩘≴∭⊉5423))=≴∭⊉-101","reverse_text":"≴∭⊉-101=(≴∭⊉6531↹⊜≴∭⊉21606⩌⋺(≴∭⊉15626⋣⋖≴∭⊉11603)⫡⨏(↽≂≴∭⊉30446)⨫⇇↔≴∭⊉11562⪥≴∭⊉3204)⫌⩉⩟(⇙⪊((≴∭⊉10541⇉⇉)⊲⩕⊾≴∭⊉10250⩁⩘≴∭⊉5423))","cot":[{"info":"≴∭⊉6531↹⊜≴∭⊉21606=≴∭⊉-101136","layer":3},{"info":"≴∭⊉15626⋣⋖≴∭⊉11603=≴∭⊉15626","layer":3},{"info":"≴∭⊉-101136⩌⋺≴∭⊉15626=≴∭⊉51645","layer":2},{"info":"↽≂≴∭⊉30446=≴∭⊉-61225","layer":3},{"info":"≴∭⊉11562⪥≴∭⊉3204=≴∭⊉66635","layer":3},{"info":"≴∭⊉-61225⨫⇇↔≴∭⊉66635=≴∭⊉-1352","layer":2},{"info":"≴∭⊉51645⫡⨏≴∭⊉-1352=≴∭⊉351656","layer":1},{"info":"≴∭⊉10541⇉⇉=≴∭⊉-1264223","layer":3},{"info":"≴∭⊉10250⩁⩘≴∭⊉5423=≴∭⊉34151","layer":3},{"info":"≴∭⊉-1264223⊲⩕⊾≴∭⊉34151=≴∭⊉-3051410","layer":2},{"info":"⇙⪊≴∭⊉-3051410=≴∭⊉0","layer":1},{"info":"≴∭⊉351656⫌⩉⩟≴∭⊉0=≴∭⊉-101","layer":0}]}
+{"id":28,"expression_no_base_symbol":"((∓⪦$4598$)⪁$2297$⊝⪿⪼$1992$)⨭⪣($2427$⨐⩸⫘$1207$)⪕$2594$⪝$6304$⇮⋭($4523$⫒⫫$1122$⪛⫼$1654$↹⊜$6337$/($5182$⇯⋐)∛($1882$⪍↜⋙$1427$))","expression":"((∓⪦≴∭⊉16256)⪁≴∭⊉6461⊝⪿⪼≴∭⊉5544)⨭⪣(≴∭⊉10035⨐⩸⫘≴∭⊉3343)⪕≴∭⊉10364⪝≴∭⊉24244⇮⋭(≴∭⊉16121⫒⫫≴∭⊉3162⪛⫼≴∭⊉4552↹⊜≴∭⊉24322/(≴∭⊉21052⇯⋐)∛(≴∭⊉5326⪍↜⋙≴∭⊉4106))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":40716,"operation_count":15,"complexity_ratio":2714.4,"tree":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"numeric_atoms","value":4598,"base":7}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":2297,"base":7},"right_expr":{"type":"numeric_atoms","value":1992,"base":7}}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2427,"base":7},"right_expr":{"type":"numeric_atoms","value":1207,"base":7}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":2594,"base":7},"right_expr":{"type":"numeric_atoms","value":6304,"base":7}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":4523,"base":7},"right_expr":{"type":"numeric_atoms","value":1122,"base":7}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":1654,"base":7},"right_expr":{"type":"numeric_atoms","value":6337,"base":7}}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"unary","operator":"⇯⋐","unary_expr":{"type":"numeric_atoms","value":5182,"base":7}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":1882,"base":7},"right_expr":{"type":"numeric_atoms","value":1427,"base":7}}}}},"used_operators":["vkpjKywKVM","kn8WO9XteQ","I7sXao9hZE","D309nIvmXG","3Oe9XWJUTD","umQnsF7QlU","fu6greOZ01","wicAB68Tmb","XhwjNDsVaA","hyuBjUqXlG","6Ko8hGgeMq","9bazX3JMtO","w2537kitQq","LkLIoiE525","L05ObWFQCd"],"dependent_operators":["nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","3ViojmjbAp","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","rysDP5nf3Z","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q"],"result":"≴∭⊉124","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4598","layer":4},{"info":"compute unary expreesion, input=4598, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=4190","layer":3},{"info":"number node, value=2297","layer":4},{"info":"number node, value=1992","layer":4},{"info":"compute binary expreesion, left_input=2297, right_input=1992, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=35721","layer":3},{"info":"compute binary expreesion, left_input=4190, right_input=35721, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"number node, value=2427","layer":4},{"info":"number node, value=1207","layer":4},{"info":"compute binary expreesion, left_input=2427, right_input=1207, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=2594","layer":4},{"info":"number node, value=6304","layer":4},{"info":"compute binary expreesion, left_input=2594, right_input=6304, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=237, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-21","layer":1},{"info":"number node, value=4523","layer":4},{"info":"number node, value=1122","layer":4},{"info":"compute binary expreesion, left_input=4523, right_input=1122, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"number node, value=1654","layer":4},{"info":"number node, value=6337","layer":4},{"info":"compute binary expreesion, left_input=1654, right_input=6337, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-22136","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-22136, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=nan","layer":2},{"info":"number node, value=5182","layer":4},{"info":"compute unary expreesion, input=5182, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=16424","layer":3},{"info":"number node, value=1882","layer":4},{"info":"number node, value=1427","layer":4},{"info":"compute binary expreesion, left_input=1882, right_input=1427, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=910","layer":3},{"info":"compute binary expreesion, left_input=16424, right_input=910, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=nan, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":0}],"base":7,"result_base":7,"text":"((∓⪦≴∭⊉16256)⪁≴∭⊉6461⊝⪿⪼≴∭⊉5544)⨭⪣(≴∭⊉10035⨐⩸⫘≴∭⊉3343)⪕≴∭⊉10364⪝≴∭⊉24244⇮⋭(≴∭⊉16121⫒⫫≴∭⊉3162⪛⫼≴∭⊉4552↹⊜≴∭⊉24322/(≴∭⊉21052⇯⋐)∛(≴∭⊉5326⪍↜⋙≴∭⊉4106))=≴∭⊉124","reverse_text":"≴∭⊉124=((∓⪦≴∭⊉16256)⪁≴∭⊉6461⊝⪿⪼≴∭⊉5544)⨭⪣(≴∭⊉10035⨐⩸⫘≴∭⊉3343)⪕≴∭⊉10364⪝≴∭⊉24244⇮⋭(≴∭⊉16121⫒⫫≴∭⊉3162⪛⫼≴∭⊉4552↹⊜≴∭⊉24322/(≴∭⊉21052⇯⋐)∛(≴∭⊉5326⪍↜⋙≴∭⊉4106))","cot":[{"info":"∓⪦≴∭⊉16256=≴∭⊉15134","layer":3},{"info":"≴∭⊉6461⊝⪿⪼≴∭⊉5544=≴∭⊉206100","layer":3},{"info":"≴∭⊉15134⪁≴∭⊉206100=NaN","layer":2},{"info":"≴∭⊉10035⨐⩸⫘≴∭⊉3343=NaN","layer":3},{"info":"≴∭⊉10364⪝≴∭⊉24244=≴∭⊉456","layer":3},{"info":"NaN⪕≴∭⊉456=NaN","layer":2},{"info":"NaN⨭⪣NaN=≴∭⊉-30","layer":1},{"info":"≴∭⊉16121⫒⫫≴∭⊉3162=NaN","layer":3},{"info":"≴∭⊉4552↹⊜≴∭⊉24322=≴∭⊉-121352","layer":3},{"info":"NaN⪛⫼≴∭⊉-121352=NaN","layer":2},{"info":"≴∭⊉21052⇯⋐=≴∭⊉65612","layer":3},{"info":"≴∭⊉5326⪍↜⋙≴∭⊉4106=≴∭⊉2440","layer":3},{"info":"≴∭⊉65612∛≴∭⊉2440=≴∭⊉124","layer":2},{"info":"NaN/≴∭⊉124=NaN","layer":1},{"info":"≴∭⊉-30⇮⋭NaN=≴∭⊉124","layer":0}]}
+{"id":29,"expression_no_base_symbol":"(≱⇩⩕(≔$4791$)⇴$1544$⋥⋵⩄$1019$)∀⇚≩(⊖($6084$≥⨤⩑$2893$⨵⪆(⊀$6345$)))","expression":"(≱⇩⩕(≔≴∭⊉16653)⇴≴∭⊉4334⋥⋵⩄≴∭⊉2654)∀⇚≩(⊖(≴∭⊉23511≥⨤⩑≴∭⊉11302⨵⪆(⊀≴∭⊉24333)))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":141,"operation_count":9,"complexity_ratio":15.666666666666666,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"numeric_atoms","value":4791,"base":7}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":1544,"base":7},"right_expr":{"type":"numeric_atoms","value":1019,"base":7}}}},"right_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":6084,"base":7},"right_expr":{"type":"numeric_atoms","value":2893,"base":7}},"right_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"numeric_atoms","value":6345,"base":7}}}}},"used_operators":["LRNGc0VcxI","3DZMoQKiUl","4JB6nKBMSY","8FLs4eVsLt","7t3wd0Fuz7","U6pG0PXrV3","2DQ55sFlQl","gJLn6v0xnP","oPMjh9089D"],"dependent_operators":["X99M06cbEe","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","sdazOOVcIp","NTOWxs364D","COABgblf1C","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","rysDP5nf3Z","t8gj7n24qd","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4791","layer":4},{"info":"compute unary expreesion, input=4791, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-132854","layer":3},{"info":"number node, value=1544","layer":4},{"info":"number node, value=1019","layer":4},{"info":"compute binary expreesion, left_input=1544, right_input=1019, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=-132854, right_input=113, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=-797284","layer":2},{"info":"compute unary expreesion, input=-797284, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=5581598","layer":1},{"info":"number node, value=6084","layer":4},{"info":"number node, value=2893","layer":4},{"info":"compute binary expreesion, left_input=6084, right_input=2893, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"number node, value=6345","layer":4},{"info":"compute unary expreesion, input=6345, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=25118","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=25118, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=-480","layer":1},{"info":"compute binary expreesion, left_input=5581598, right_input=-480, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≱⇩⩕(≔≴∭⊉16653)⇴≴∭⊉4334⋥⋵⩄≴∭⊉2654)∀⇚≩(⊖(≴∭⊉23511≥⨤⩑≴∭⊉11302⨵⪆(⊀≴∭⊉24333)))=NaN","reverse_text":"NaN=(≱⇩⩕(≔≴∭⊉16653)⇴≴∭⊉4334⋥⋵⩄≴∭⊉2654)∀⇚≩(⊖(≴∭⊉23511≥⨤⩑≴∭⊉11302⨵⪆(⊀≴∭⊉24333)))","cot":[{"info":"≔≴∭⊉16653=≴∭⊉-1062221","layer":3},{"info":"≴∭⊉4334⋥⋵⩄≴∭⊉2654=≴∭⊉221","layer":3},{"info":"≴∭⊉-1062221⇴≴∭⊉221=≴∭⊉-6530305","layer":2},{"info":"≱⇩⩕≴∭⊉-6530305=≴∭⊉65304611","layer":1},{"info":"≴∭⊉23511≥⨤⩑≴∭⊉11302=≴∭⊉3412","layer":3},{"info":"⊀≴∭⊉24333=≴∭⊉133142","layer":3},{"info":"≴∭⊉3412⨵⪆≴∭⊉133142=≴∭⊉316","layer":2},{"info":"⊖≴∭⊉316=≴∭⊉-1254","layer":1},{"info":"≴∭⊉65304611∀⇚≩≴∭⊉-1254=NaN","layer":0}]}
+{"id":30,"expression_no_base_symbol":"(↘($2246$⊉↱≁$1537$+$3639$∛$1939$))⪮%⊝((($4937$⇼⇔∾$1714$)⇮⋭$4246$≨$1545$)⫥∨⫟$1383$∥⊢⊲$2365$⪘⫢($7167$⫸⇳$1390$))","expression":"(↘(≴∭⊉6356⊉↱≁≴∭⊉4324+≴∭⊉13416∛≴∭⊉5440))⪮%⊝(((≴∭⊉20252⇼⇔∾≴∭⊉4666)⇮⋭≴∭⊉15244≨≴∭⊉4335)⫥∨⫟≴∭⊉4014∥⊢⊲≴∭⊉6616⪘⫢(≴∭⊉26616⫸⇳≴∭⊉4024))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":464,"operation_count":12,"complexity_ratio":38.666666666666664,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":2246,"base":7},"right_expr":{"type":"numeric_atoms","value":1537,"base":7}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":3639,"base":7},"right_expr":{"type":"numeric_atoms","value":1939,"base":7}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":4937,"base":7},"right_expr":{"type":"numeric_atoms","value":1714,"base":7}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":4246,"base":7},"right_expr":{"type":"numeric_atoms","value":1545,"base":7}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":1383,"base":7},"right_expr":{"type":"numeric_atoms","value":2365,"base":7}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":7167,"base":7},"right_expr":{"type":"numeric_atoms","value":1390,"base":7}}}}},"used_operators":["IWmyXbctLI","LdNpr8hQHL","W4YGzv6Whe","w2P8NbNXyL","w2537kitQq","KYD54nUTWz","vkpjKywKVM","tifHPKVTfV","0KMCeP1Jsh","oacrs7FA3X","v1UQAVDJRr","gx7XJ7hdpj"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","uFcxV4UQCh","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","8HhzD0ZcuI","rGHVDoGpnC","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","rysDP5nf3Z","t8gj7n24qd","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","EBcxylXtPf","rGHVDoGpnC","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2246","layer":4},{"info":"number node, value=1537","layer":4},{"info":"compute binary expreesion, left_input=2246, right_input=1537, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=13186","layer":3},{"info":"number node, value=3639","layer":4},{"info":"number node, value=1939","layer":4},{"info":"compute binary expreesion, left_input=3639, right_input=1939, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"compute binary expreesion, left_input=13186, right_input=-670, op_id = W4YGzv6Whe binary_op_definition= 'None', output=12516","layer":2},{"info":"compute unary expreesion, input=12516, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=364","layer":1},{"info":"number node, value=4937","layer":4},{"info":"number node, value=1714","layer":4},{"info":"compute binary expreesion, left_input=4937, right_input=1714, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-3223","layer":3},{"info":"number node, value=4246","layer":4},{"info":"number node, value=1545","layer":4},{"info":"compute binary expreesion, left_input=4246, right_input=1545, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-39984","layer":3},{"info":"compute binary expreesion, left_input=-3223, right_input=-39984, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":2},{"info":"number node, value=1383","layer":4},{"info":"number node, value=2365","layer":4},{"info":"compute binary expreesion, left_input=1383, right_input=2365, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"number node, value=7167","layer":4},{"info":"number node, value=1390","layer":4},{"info":"compute binary expreesion, left_input=7167, right_input=1390, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=364, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(↘(≴∭⊉6356⊉↱≁≴∭⊉4324+≴∭⊉13416∛≴∭⊉5440))⪮%⊝(((≴∭⊉20252⇼⇔∾≴∭⊉4666)⇮⋭≴∭⊉15244≨≴∭⊉4335)⫥∨⫟≴∭⊉4014∥⊢⊲≴∭⊉6616⪘⫢(≴∭⊉26616⫸⇳≴∭⊉4024))=NaN","reverse_text":"NaN=(↘(≴∭⊉6356⊉↱≁≴∭⊉4324+≴∭⊉13416∛≴∭⊉5440))⪮%⊝(((≴∭⊉20252⇼⇔∾≴∭⊉4666)⇮⋭≴∭⊉15244≨≴∭⊉4335)⫥∨⫟≴∭⊉4014∥⊢⊲≴∭⊉6616⪘⫢(≴∭⊉26616⫸⇳≴∭⊉4024))","cot":[{"info":"≴∭⊉6356⊉↱≁≴∭⊉4324=≴∭⊉53305","layer":3},{"info":"≴∭⊉13416∛≴∭⊉5440=≴∭⊉-1645","layer":3},{"info":"≴∭⊉53305+≴∭⊉-1645=≴∭⊉51330","layer":2},{"info":"↘≴∭⊉51330=≴∭⊉1030","layer":1},{"info":"≴∭⊉20252⇼⇔∾≴∭⊉4666=≴∭⊉-12253","layer":3},{"info":"≴∭⊉15244≨≴∭⊉4335=≴∭⊉-224400","layer":3},{"info":"≴∭⊉-12253⇮⋭≴∭⊉-224400=≴∭⊉124","layer":2},{"info":"≴∭⊉4014∥⊢⊲≴∭⊉6616=NaN","layer":3},{"info":"≴∭⊉26616⫸⇳≴∭⊉4024=≴∭⊉0","layer":3},{"info":"NaN⪘⫢≴∭⊉0=NaN","layer":2},{"info":"≴∭⊉124⫥∨⫟NaN=NaN","layer":1},{"info":"≴∭⊉1030⪮%⊝NaN=NaN","layer":0}]}
+{"id":31,"expression_no_base_symbol":"((⨭⩧⫛$3421$)≴⪞⇿($2362$⊉≛↸$2944$)⨟⋌⩍(⩏⊷≩(⊀$2632$)))≃⋄","expression":"((⨭⩧⫛≴∭⊉12655)≴⪞⇿(≴∭⊉6613⊉≛↸≴∭⊉11404)⨟⋌⩍(⩏⊷≩(⊀≴∭⊉10450)))≃⋄","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":167,"operation_count":7,"complexity_ratio":23.857142857142858,"tree":{"type":"unary","operator":"≃⋄","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"numeric_atoms","value":3421,"base":7}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2362,"base":7},"right_expr":{"type":"numeric_atoms","value":2944,"base":7}}},"right_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"numeric_atoms","value":2632,"base":7}}}}},"used_operators":["aN9a90urxU","rGHVDoGpnC","lvlrscuwVU","g21JL6JxX7","DZ8iAZOCBD","uOZ1tnYMDE","oPMjh9089D"],"dependent_operators":["uFcxV4UQCh","jLgFTUHLKL","Tcnh7f0tEr","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","23Mk6UjR3U","12rbrZMWeM","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3421","layer":4},{"info":"compute unary expreesion, input=3421, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":3},{"info":"number node, value=2362","layer":4},{"info":"number node, value=2944","layer":4},{"info":"compute binary expreesion, left_input=2362, right_input=2944, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4724","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4724, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=nan","layer":2},{"info":"number node, value=2632","layer":4},{"info":"compute unary expreesion, input=2632, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=10266","layer":3},{"info":"compute unary expreesion, input=10266, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=20231","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=20231, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = aN9a90urxU, unary_op_definition = 'a≃⋄ = { (↩(252⪛a)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((⨭⩧⫛≴∭⊉12655)≴⪞⇿(≴∭⊉6613⊉≛↸≴∭⊉11404)⨟⋌⩍(⩏⊷≩(⊀≴∭⊉10450)))≃⋄=NaN","reverse_text":"NaN=((⨭⩧⫛≴∭⊉12655)≴⪞⇿(≴∭⊉6613⊉≛↸≴∭⊉11404)⨟⋌⩍(⩏⊷≩(⊀≴∭⊉10450)))≃⋄","cot":[{"info":"⨭⩧⫛≴∭⊉12655=NaN","layer":3},{"info":"≴∭⊉6613⊉≛↸≴∭⊉11404=≴∭⊉16526","layer":3},{"info":"NaN≴⪞⇿≴∭⊉16526=NaN","layer":2},{"info":"⊀≴∭⊉10450=≴∭⊉41634","layer":3},{"info":"⩏⊷≩≴∭⊉41634=≴∭⊉112661","layer":2},{"info":"NaN⨟⋌⩍≴∭⊉112661=NaN","layer":1},{"info":"NaN≃⋄=NaN","layer":0}]}
+{"id":32,"expression_no_base_symbol":"(↨(($3642$⩦$7363$)⇉⇱⇎))↓⨍⋜","expression":"(↨((≴∭⊉13422⩦≴∭⊉30316)⇉⇱⇎))↓⨍⋜","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":468,"operation_count":4,"complexity_ratio":117.0,"tree":{"type":"unary","operator":"↓⨍⋜","unary_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"unary","operator":"⇉⇱⇎","unary_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":3642,"base":7},"right_expr":{"type":"numeric_atoms","value":7363,"base":7}}}}},"used_operators":["3DVzLFNsE9","jiX4gk2v2Q","MRPaB8lBjK","0kmYd0q39Y"],"dependent_operators":["OKKcZfAt5B","zR4jO40bMj","XnXgA4xnOs","o20kRiQErp","7t3wd0Fuz7","Z5m6OM72h2","rGHVDoGpnC","oZj3VtZNQx","XhwjNDsVaA","QiR2Oyf5Xj","uFcxV4UQCh","EWw2JM7wp4","t8gj7n24qd","keWfFq85dY","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3642","layer":4},{"info":"number node, value=7363","layer":4},{"info":"compute binary expreesion, left_input=3642, right_input=7363, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=7284","layer":3},{"info":"compute unary expreesion, input=7284, op_id = MRPaB8lBjK, unary_op_definition = 'a⇉⇱⇎ = { (((a/a)⪉⨛(≯757))⪛(∷≠(-a))) }', output=-7066","layer":2},{"info":"compute unary expreesion, input=-7066, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 3DVzLFNsE9, unary_op_definition = 'a↓⨍⋜ = { (((a≝⊿a)⪶≀⋏(a∸))⨑≵⋬((a⋥⋵⩄a)∘(a⪶≀⋏a))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(↨((≴∭⊉13422⩦≴∭⊉30316)⇉⇱⇎))↓⨍⋜=NaN","reverse_text":"NaN=(↨((≴∭⊉13422⩦≴∭⊉30316)⇉⇱⇎))↓⨍⋜","cot":[{"info":"≴∭⊉13422⩦≴∭⊉30316=≴∭⊉30144","layer":3},{"info":"≴∭⊉30144⇉⇱⇎=≴∭⊉-26413","layer":2},{"info":"↨≴∭⊉-26413=NaN","layer":1},{"info":"NaN↓⨍⋜=NaN","layer":0}]}
+{"id":33,"expression_no_base_symbol":"((⪝⪂⫅$3013$)⪍↜⋙(⊙↵-$2942$)⩹($7574$⊋≦⊧$1379$↛⩡⫤))⪎↠($1039$⪕$6216$⩤)≁(($3926$⊋≦⊧$2263$)∑⇟⊟$1077$⩁⩘$3869$)","expression":"((⪝⪂⫅≴∭⊉11533)⪍↜⋙(⊙↵-≴∭⊉11402)⩹(≴∭⊉31040⊋≦⊧≴∭⊉4010↛⩡⫤))⪎↠(≴∭⊉3013⪕≴∭⊉24060⩤)≁((≴∭⊉14306⊋≦⊧≴∭⊉6412)∑⇟⊟≴∭⊉3066⩁⩘≴∭⊉14165)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":10979,"operation_count":13,"complexity_ratio":844.5384615384615,"tree":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":3013,"base":7}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":2942,"base":7}}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":7574,"base":7},"right_expr":{"type":"numeric_atoms","value":1379,"base":7}}}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":1039,"base":7},"right_expr":{"type":"numeric_atoms","value":6216,"base":7}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":3926,"base":7},"right_expr":{"type":"numeric_atoms","value":2263,"base":7}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":1077,"base":7},"right_expr":{"type":"numeric_atoms","value":3869,"base":7}}}}},"used_operators":["3tVxb0NHM4","2Wsdkap16l","L05ObWFQCd","XTarYq4gQB","oWn0xqSxBt","FU0Cs4j7VP","oRDoc9rAEX","8N2wDY1A35","Z2TMIBDE3Q","umQnsF7QlU","U7g4x0WXJJ","gub5Cegaqo"],"dependent_operators":["P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","9HNa5Wba9A","8w2t5hMYqp","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","rysDP5nf3Z","t8gj7n24qd","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","DpFCA1CohY","IWmyXbctLI"],"result":"≴∭⊉316","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3013","layer":4},{"info":"compute unary expreesion, input=3013, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-442911","layer":3},{"info":"number node, value=2942","layer":4},{"info":"compute unary expreesion, input=2942, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=-442911, right_input=-1, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=2213774","layer":2},{"info":"number node, value=7574","layer":4},{"info":"number node, value=1379","layer":4},{"info":"compute binary expreesion, left_input=7574, right_input=1379, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=-2518","layer":3},{"info":"compute unary expreesion, input=-2518, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=1461","layer":2},{"info":"compute binary expreesion, left_input=2213774, right_input=1461, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=1459","layer":1},{"info":"number node, value=1039","layer":4},{"info":"number node, value=6216","layer":4},{"info":"compute binary expreesion, left_input=1039, right_input=6216, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=-55","layer":3},{"info":"compute unary expreesion, input=-55, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=55","layer":2},{"info":"number node, value=3926","layer":4},{"info":"number node, value=2263","layer":4},{"info":"compute binary expreesion, left_input=3926, right_input=2263, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=-4286","layer":3},{"info":"number node, value=1077","layer":4},{"info":"number node, value=3869","layer":4},{"info":"compute binary expreesion, left_input=1077, right_input=3869, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=16424","layer":3},{"info":"compute binary expreesion, left_input=-4286, right_input=16424, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=55, right_input=nan, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1459, right_input=nan, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":0}],"base":7,"result_base":7,"text":"((⪝⪂⫅≴∭⊉11533)⪍↜⋙(⊙↵-≴∭⊉11402)⩹(≴∭⊉31040⊋≦⊧≴∭⊉4010↛⩡⫤))⪎↠(≴∭⊉3013⪕≴∭⊉24060⩤)≁((≴∭⊉14306⊋≦⊧≴∭⊉6412)∑⇟⊟≴∭⊉3066⩁⩘≴∭⊉14165)=≴∭⊉316","reverse_text":"≴∭⊉316=((⪝⪂⫅≴∭⊉11533)⪍↜⋙(⊙↵-≴∭⊉11402)⩹(≴∭⊉31040⊋≦⊧≴∭⊉4010↛⩡⫤))⪎↠(≴∭⊉3013⪕≴∭⊉24060⩤)≁((≴∭⊉14306⊋≦⊧≴∭⊉6412)∑⇟⊟≴∭⊉3066⩁⩘≴∭⊉14165)","cot":[{"info":"⪝⪂⫅≴∭⊉11533=≴∭⊉-3523200","layer":3},{"info":"⊙↵-≴∭⊉11402=≴∭⊉-1","layer":3},{"info":"≴∭⊉-3523200⪍↜⋙≴∭⊉-1=≴∭⊉24550103","layer":2},{"info":"≴∭⊉31040⊋≦⊧≴∭⊉4010=≴∭⊉-10225","layer":3},{"info":"≴∭⊉-10225↛⩡⫤=≴∭⊉4155","layer":2},{"info":"≴∭⊉24550103⩹≴∭⊉4155=≴∭⊉4153","layer":1},{"info":"≴∭⊉3013⪕≴∭⊉24060=≴∭⊉-106","layer":3},{"info":"≴∭⊉-106⩤=≴∭⊉106","layer":2},{"info":"≴∭⊉14306⊋≦⊧≴∭⊉6412=≴∭⊉-15332","layer":3},{"info":"≴∭⊉3066⩁⩘≴∭⊉14165=≴∭⊉65612","layer":3},{"info":"≴∭⊉-15332∑⇟⊟≴∭⊉65612=NaN","layer":2},{"info":"≴∭⊉106≁NaN=NaN","layer":1},{"info":"≴∭⊉4153⪎↠NaN=≴∭⊉316","layer":0}]}
+{"id":34,"expression_no_base_symbol":"⨛(($5569$+$2690$)⪍↜⋙($1368$⩅⪻⪻)⫃⨇($5562$≭$2896$)≴⪞⇿(⊿$8079$))","expression":"⨛((≴∭⊉22144+≴∭⊉10562)⪍↜⋙(≴∭⊉3663⩅⪻⪻)⫃⨇(≴∭⊉22134≭≴∭⊉11305)≴⪞⇿(⊿≴∭⊉32361))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":277,"operation_count":8,"complexity_ratio":34.625,"tree":{"type":"unary","operator":"⨛","unary_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":5569,"base":7},"right_expr":{"type":"numeric_atoms","value":2690,"base":7}},"right_expr":{"type":"unary","operator":"⩅⪻⪻","unary_expr":{"type":"numeric_atoms","value":1368,"base":7}}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":5562,"base":7},"right_expr":{"type":"numeric_atoms","value":2896,"base":7}},"right_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"numeric_atoms","value":8079,"base":7}}}}},"used_operators":["CoMdbyAt7R","09Ly4LVMIf","L05ObWFQCd","W4YGzv6Whe","kHoXpA7yos","lvlrscuwVU","rxpJgHHUmx","DO4fhlbJSI"],"dependent_operators":["U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","SUmda5xLS4","KPf6cnQVty","8HhzD0ZcuI","9Isq31Ruls","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","AHs5Up7iyr","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5569","layer":4},{"info":"number node, value=2690","layer":4},{"info":"compute binary expreesion, left_input=5569, right_input=2690, op_id = W4YGzv6Whe binary_op_definition= 'None', output=8259","layer":3},{"info":"number node, value=1368","layer":4},{"info":"compute unary expreesion, input=1368, op_id = kHoXpA7yos, unary_op_definition = 'a⩅⪻⪻ = { (a⪄((a∌↝a)⨽(a∺≝⩲a))) }', output=-201889","layer":3},{"info":"compute binary expreesion, left_input=8259, right_input=-201889, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=420296","layer":2},{"info":"number node, value=5562","layer":4},{"info":"number node, value=2896","layer":4},{"info":"compute binary expreesion, left_input=5562, right_input=2896, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=8079","layer":4},{"info":"compute unary expreesion, input=8079, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-33054","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-33054, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=420296, right_input=nan, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"⨛((≴∭⊉22144+≴∭⊉10562)⪍↜⋙(≴∭⊉3663⩅⪻⪻)⫃⨇(≴∭⊉22134≭≴∭⊉11305)≴⪞⇿(⊿≴∭⊉32361))=NaN","reverse_text":"NaN=⨛((≴∭⊉22144+≴∭⊉10562)⪍↜⋙(≴∭⊉3663⩅⪻⪻)⫃⨇(≴∭⊉22134≭≴∭⊉11305)≴⪞⇿(⊿≴∭⊉32361))","cot":[{"info":"≴∭⊉22144+≴∭⊉10562=≴∭⊉33036","layer":3},{"info":"≴∭⊉3663⩅⪻⪻=≴∭⊉-1500412","layer":3},{"info":"≴∭⊉33036⪍↜⋙≴∭⊉-1500412=≴∭⊉3400232","layer":2},{"info":"≴∭⊉22134≭≴∭⊉11305=NaN","layer":3},{"info":"⊿≴∭⊉32361=≴∭⊉-165240","layer":3},{"info":"NaN≴⪞⇿≴∭⊉-165240=NaN","layer":2},{"info":"≴∭⊉3400232⫃⨇NaN=NaN","layer":1},{"info":"⨛NaN=NaN","layer":0}]}
+{"id":35,"expression_no_base_symbol":"$5922$⇂≾⫗$9349$⨚⇆($1039$⋷$2279$)⩷∴($1326$⋾⨃∁$1885$)↞⋁($5606$⩌⋺$1052$)-(⊀($2013$⨭⪣$3950$))⨐($2453$⩖⊿$2892$)⊮⊟↴(⇉-⫰$1333$)","expression":"≴∭⊉23160⇂≾⫗≴∭⊉36154⨚⇆(≴∭⊉3013⋷≴∭⊉6434)⩷∴(≴∭⊉3603⋾⨃∁≴∭⊉5332)↞⋁(≴∭⊉22226⩌⋺≴∭⊉3032)-(⊀(≴∭⊉5604⨭⪣≴∭⊉14342))⨐(≴∭⊉10103⩖⊿≴∭⊉11301)⊮⊟↴(⇉-⫰≴∭⊉3613)","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":6889,"operation_count":14,"complexity_ratio":492.07142857142856,"tree":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":5922,"base":7},"right_expr":{"type":"numeric_atoms","value":9349,"base":7}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1039,"base":7},"right_expr":{"type":"numeric_atoms","value":2279,"base":7}}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":1326,"base":7},"right_expr":{"type":"numeric_atoms","value":1885,"base":7}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":5606,"base":7},"right_expr":{"type":"numeric_atoms","value":1052,"base":7}}}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":2013,"base":7},"right_expr":{"type":"numeric_atoms","value":3950,"base":7}}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":2453,"base":7},"right_expr":{"type":"numeric_atoms","value":2892,"base":7}},"right_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"numeric_atoms","value":1333,"base":7}}}}},"used_operators":["rysDP5nf3Z","9FxExcQeMw","lwHaAYXP2r","aBQ6xLxuTc","23Mk6UjR3U","RqrPlJkxDo","212REbPD9h","g7Hmc5v1ko","Noe24qw2ks","oPMjh9089D","kn8WO9XteQ","QDVgd2eftb","RZ5CV9rWsJ","IGFM8TAlm9"],"dependent_operators":["rysDP5nf3Z","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","W4YGzv6Whe","t8gj7n24qd","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","eH2TOUuTDT","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5922","layer":4},{"info":"number node, value=9349","layer":4},{"info":"compute binary expreesion, left_input=5922, right_input=9349, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"number node, value=1039","layer":4},{"info":"number node, value=2279","layer":4},{"info":"compute binary expreesion, left_input=1039, right_input=2279, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=3519","layer":3},{"info":"compute binary expreesion, left_input=-676, right_input=3519, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":2},{"info":"number node, value=1326","layer":4},{"info":"number node, value=1885","layer":4},{"info":"compute binary expreesion, left_input=1326, right_input=1885, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=35509536","layer":3},{"info":"number node, value=5606","layer":4},{"info":"number node, value=1052","layer":4},{"info":"compute binary expreesion, left_input=5606, right_input=1052, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-6779","layer":3},{"info":"compute binary expreesion, left_input=35509536, right_input=-6779, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=35509536","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=35509536, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":1},{"info":"number node, value=2013","layer":4},{"info":"number node, value=3950","layer":4},{"info":"compute binary expreesion, left_input=2013, right_input=3950, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=734","layer":3},{"info":"compute unary expreesion, input=734, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=2674","layer":2},{"info":"number node, value=2453","layer":4},{"info":"number node, value=2892","layer":4},{"info":"compute binary expreesion, left_input=2453, right_input=2892, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=13242","layer":3},{"info":"number node, value=1333","layer":4},{"info":"compute unary expreesion, input=1333, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":3},{"info":"compute binary expreesion, left_input=13242, right_input=20, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=2674, right_input=0, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-5348","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-5348, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉23160⇂≾⫗≴∭⊉36154⨚⇆(≴∭⊉3013⋷≴∭⊉6434)⩷∴(≴∭⊉3603⋾⨃∁≴∭⊉5332)↞⋁(≴∭⊉22226⩌⋺≴∭⊉3032)-(⊀(≴∭⊉5604⨭⪣≴∭⊉14342))⨐(≴∭⊉10103⩖⊿≴∭⊉11301)⊮⊟↴(⇉-⫰≴∭⊉3613)=NaN","reverse_text":"NaN=≴∭⊉23160⇂≾⫗≴∭⊉36154⨚⇆(≴∭⊉3013⋷≴∭⊉6434)⩷∴(≴∭⊉3603⋾⨃∁≴∭⊉5332)↞⋁(≴∭⊉22226⩌⋺≴∭⊉3032)-(⊀(≴∭⊉5604⨭⪣≴∭⊉14342))⨐(≴∭⊉10103⩖⊿≴∭⊉11301)⊮⊟↴(⇉-⫰≴∭⊉3613)","cot":[{"info":"≴∭⊉23160⇂≾⫗≴∭⊉36154=≴∭⊉-1654","layer":3},{"info":"≴∭⊉3013⋷≴∭⊉6434=≴∭⊉13155","layer":3},{"info":"≴∭⊉-1654⨚⇆≴∭⊉13155=NaN","layer":2},{"info":"≴∭⊉3603⋾⨃∁≴∭⊉5332=≴∭⊉610553226","layer":3},{"info":"≴∭⊉22226⩌⋺≴∭⊉3032=≴∭⊉-25523","layer":3},{"info":"≴∭⊉610553226↞⋁≴∭⊉-25523=≴∭⊉610553226","layer":2},{"info":"NaN⩷∴≴∭⊉610553226=NaN","layer":1},{"info":"≴∭⊉5604⨭⪣≴∭⊉14342=≴∭⊉2066","layer":3},{"info":"⊀≴∭⊉2066=≴∭⊉10540","layer":2},{"info":"≴∭⊉10103⩖⊿≴∭⊉11301=≴∭⊉53415","layer":3},{"info":"⇉-⫰≴∭⊉3613=≴∭⊉26","layer":3},{"info":"≴∭⊉53415⊮⊟↴≴∭⊉26=≴∭⊉0","layer":2},{"info":"≴∭⊉10540⨐≴∭⊉0=≴∭⊉-21410","layer":1},{"info":"NaN-≴∭⊉-21410=NaN","layer":0}]}
+{"id":36,"expression_no_base_symbol":"(⇁⨣⪵$4152$)⩘$4686$∊∟⩊$4673$⪶≀⋏($4188$∳⫺$1392$)⇻⋧≁($3162$%$1965$)⩹(($2562$↸$8075$)⫸⇳(↽≂$1846$))⇷(↯⪼($2159$≓∲$1827$))","expression":"(⇁⨣⪵≴∭⊉15051)⩘≴∭⊉16443∊∟⩊≴∭⊉16424⪶≀⋏(≴∭⊉15132∳⫺≴∭⊉4026)⇻⋧≁(≴∭⊉12135%≴∭⊉5505)⩹((≴∭⊉10320↸≴∭⊉32354)⫸⇳(↽≂≴∭⊉5245))⇷(↯⪼(≴∭⊉6203≓∲≴∭⊉5220))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3122,"operation_count":14,"complexity_ratio":223.0,"tree":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":4152,"base":7}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":4686,"base":7},"right_expr":{"type":"numeric_atoms","value":4673,"base":7}}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":4188,"base":7},"right_expr":{"type":"numeric_atoms","value":1392,"base":7}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":3162,"base":7},"right_expr":{"type":"numeric_atoms","value":1965,"base":7}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":2562,"base":7},"right_expr":{"type":"numeric_atoms","value":8075,"base":7}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1846,"base":7}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":2159,"base":7},"right_expr":{"type":"numeric_atoms","value":1827,"base":7}}}}},"used_operators":["2Wsdkap16l","zR4jO40bMj","cHh1gJQ2o6","inkyxCbjAn","ddLRYrp01A","jCPkEVoL5K","AzXXKTstlj","k8jYdgA6NY","mp7IySMOzn","gx7XJ7hdpj","1eCjFl0mb9","u6S6b8DprG","8jW3W4yZS5","s1XTVnmDOJ"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","B5M0gjZbta","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","rysDP5nf3Z","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu"],"result":"≴∭⊉-62","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4152","layer":4},{"info":"compute unary expreesion, input=4152, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=4686","layer":4},{"info":"number node, value=4673","layer":4},{"info":"compute binary expreesion, left_input=4686, right_input=4673, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=4673","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4673, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":2},{"info":"number node, value=4188","layer":4},{"info":"number node, value=1392","layer":4},{"info":"compute binary expreesion, left_input=4188, right_input=1392, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":3},{"info":"number node, value=3162","layer":4},{"info":"number node, value=1965","layer":4},{"info":"compute binary expreesion, left_input=3162, right_input=1965, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1197","layer":3},{"info":"compute binary expreesion, left_input=-260, right_input=1197, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-447, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-3576","layer":1},{"info":"number node, value=2562","layer":4},{"info":"number node, value=8075","layer":4},{"info":"compute binary expreesion, left_input=2562, right_input=8075, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=2562","layer":3},{"info":"number node, value=1846","layer":4},{"info":"compute unary expreesion, input=1846, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-3692","layer":3},{"info":"compute binary expreesion, left_input=2562, right_input=-3692, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸���(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":2},{"info":"number node, value=2159","layer":4},{"info":"number node, value=1827","layer":4},{"info":"compute binary expreesion, left_input=2159, right_input=1827, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=22373","layer":3},{"info":"compute unary expreesion, input=22373, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-21, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=-42","layer":1},{"info":"compute binary expreesion, left_input=-3576, right_input=-42, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=-44","layer":0}],"base":7,"result_base":7,"text":"(⇁⨣⪵≴∭⊉15051)⩘≴∭⊉16443∊∟⩊≴∭⊉16424⪶≀⋏(≴∭⊉15132∳⫺≴∭⊉4026)⇻⋧≁(≴∭⊉12135%≴∭⊉5505)⩹((≴∭⊉10320↸≴∭⊉32354)⫸⇳(↽≂≴∭⊉5245))⇷(↯⪼(≴∭⊉6203≓∲≴∭⊉5220))=≴∭⊉-62","reverse_text":"≴∭⊉-62=(⇁⨣⪵≴∭⊉15051)⩘≴∭⊉16443∊∟⩊≴∭⊉16424⪶≀⋏(≴∭⊉15132∳⫺≴∭⊉4026)⇻⋧≁(≴∭⊉12135%≴∭⊉5505)⩹((≴∭⊉10320↸≴∭⊉32354)⫸⇳(↽≂≴∭⊉5245))⇷(↯⪼(≴∭⊉6203≓∲≴∭⊉5220))","cot":[{"info":"⇁⨣⪵≴∭⊉15051=NaN","layer":3},{"info":"≴∭⊉16443∊∟⩊≴∭⊉16424=≴∭⊉16424","layer":3},{"info":"NaN⩘≴∭⊉16424=≴∭⊉316","layer":2},{"info":"≴∭⊉15132∳⫺≴∭⊉4026=≴∭⊉-521","layer":3},{"info":"≴∭⊉12135%≴∭⊉5505=≴∭⊉3330","layer":3},{"info":"≴∭⊉-521⇻⋧≁≴∭⊉3330=≴∭⊉-1206","layer":2},{"info":"≴∭⊉316⪶≀⋏≴∭⊉-1206=≴∭⊉-13266","layer":1},{"info":"≴∭⊉10320↸≴∭⊉32354=≴∭⊉10320","layer":3},{"info":"↽≂≴∭⊉5245=≴∭⊉-13523","layer":3},{"info":"≴∭⊉10320⫸⇳≴∭⊉-13523=≴∭⊉0","layer":2},{"info":"≴∭⊉6203≓∲≴∭⊉5220=≴∭⊉122141","layer":3},{"info":"↯⪼≴∭⊉122141=≴∭⊉-30","layer":2},{"info":"≴∭⊉0⇷≴∭⊉-30=≴∭⊉-60","layer":1},{"info":"≴∭⊉-13266⩹≴∭⊉-60=≴∭⊉-62","layer":0}]}
+{"id":37,"expression_no_base_symbol":"($1119$∓⋝$8770$⪄$2406$⇻⋧≁$2939$)⨐⩸⫘$6517$↢$7360$⫯⪬∳($4741$↳∿⪆$2359$)⫸⊐(∑⇻≧$2665$⩵∡$2076$∠⫱$1488$⨭⪣$6810$)","expression":"(≴∭⊉3156∓⋝≴∭⊉34366⪄≴∭⊉10005⇻⋧≁≴∭⊉11366)⨐⩸⫘≴∭⊉25000↢≴∭⊉30313⫯⪬∳(≴∭⊉16552↳∿⪆≴∭⊉6610)⫸⊐(∑⇻≧≴∭⊉10525⩵∡≴∭⊉6024∠⫱≴∭⊉4224⨭⪣≴∭⊉25566)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":5048,"operation_count":12,"complexity_ratio":420.6666666666667,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":1119,"base":7},"right_expr":{"type":"numeric_atoms","value":8770,"base":7}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":2406,"base":7},"right_expr":{"type":"numeric_atoms","value":2939,"base":7}}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":6517,"base":7},"right_expr":{"type":"numeric_atoms","value":7360,"base":7}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":4741,"base":7},"right_expr":{"type":"numeric_atoms","value":2359,"base":7}}}},"right_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":2665,"base":7},"right_expr":{"type":"numeric_atoms","value":2076,"base":7}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":1488,"base":7},"right_expr":{"type":"numeric_atoms","value":6810,"base":7}}}}},"used_operators":["mqXw5SEYmG","fu6greOZ01","SUmda5xLS4","PoHhknlbAi","jCPkEVoL5K","d7ASUq0ydm","WR6HLWljOP","Cw4SuJJGHO","l1M9WJ3V7u","QvoQhV0rrE","Y7wcNGrDQJ","kn8WO9XteQ"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","3ViojmjbAp","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","NTOWxs364D","glklzrTFfD","tifHPKVTfV","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1119","layer":4},{"info":"number node, value=8770","layer":4},{"info":"compute binary expreesion, left_input=1119, right_input=8770, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"number node, value=2406","layer":4},{"info":"number node, value=2939","layer":4},{"info":"compute binary expreesion, left_input=2406, right_input=2939, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=-447, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-4217","layer":2},{"info":"number node, value=6517","layer":4},{"info":"number node, value=7360","layer":4},{"info":"compute binary expreesion, left_input=6517, right_input=7360, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=6033","layer":3},{"info":"number node, value=4741","layer":4},{"info":"number node, value=2359","layer":4},{"info":"compute binary expreesion, left_input=4741, right_input=2359, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=6033, right_input=nan, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=18166","layer":2},{"info":"compute binary expreesion, left_input=-4217, right_input=18166, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"number node, value=2665","layer":4},{"info":"number node, value=2076","layer":4},{"info":"compute binary expreesion, left_input=2665, right_input=2076, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-3375","layer":3},{"info":"number node, value=1488","layer":4},{"info":"number node, value=6810","layer":4},{"info":"compute binary expreesion, left_input=1488, right_input=6810, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=209","layer":3},{"info":"compute binary expreesion, left_input=-3375, right_input=209, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=-3584","layer":2},{"info":"compute unary expreesion, input=-3584, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=3410","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=3410, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉3156∓⋝≴∭⊉34366⪄≴∭⊉10005⇻⋧≁≴∭⊉11366)⨐⩸⫘≴∭⊉25000↢≴∭⊉30313⫯⪬∳(≴∭⊉16552↳∿⪆≴∭⊉6610)⫸⊐(∑⇻≧≴∭⊉10525⩵∡≴∭⊉6024∠⫱≴∭⊉4224⨭⪣≴∭⊉25566)=NaN","reverse_text":"NaN=(≴∭⊉3156∓⋝≴∭⊉34366⪄≴∭⊉10005⇻⋧≁≴∭⊉11366)⨐⩸⫘≴∭⊉25000↢≴∭⊉30313⫯⪬∳(≴∭⊉16552↳∿⪆≴∭⊉6610)⫸⊐(∑⇻≧≴∭⊉10525⩵∡≴∭⊉6024∠⫱≴∭⊉4224⨭⪣≴∭⊉25566)","cot":[{"info":"≴∭⊉3156∓⋝≴∭⊉34366=≴∭⊉124","layer":3},{"info":"≴∭⊉10005⇻⋧≁≴∭⊉11366=≴∭⊉-1206","layer":3},{"info":"≴∭⊉124⪄≴∭⊉-1206=≴∭⊉-15203","layer":2},{"info":"≴∭⊉25000↢≴∭⊉30313=≴∭⊉23406","layer":3},{"info":"≴∭⊉16552↳∿⪆≴∭⊉6610=NaN","layer":3},{"info":"≴∭⊉23406⫯⪬∳NaN=≴∭⊉103651","layer":2},{"info":"≴∭⊉-15203⨐⩸⫘≴∭⊉103651=NaN","layer":1},{"info":"≴∭⊉10525⩵∡≴∭⊉6024=≴∭⊉-12561","layer":3},{"info":"≴∭⊉4224⨭⪣≴∭⊉25566=≴∭⊉416","layer":3},{"info":"≴∭⊉-12561∠⫱≴∭⊉416=≴∭��-13310","layer":2},{"info":"∑⇻≧≴∭⊉-13310=≴∭⊉12641","layer":1},{"info":"NaN⫸⊐≴∭⊉12641=NaN","layer":0}]}
+{"id":38,"expression_no_base_symbol":"($2603$∷$1032$)⫁($3831$∣$2229$)↢(($1563$≋⫹)⇞)⪥⨬⪅","expression":"(≴∭⊉10406∷≴∭⊉3003)⫁(≴∭⊉14112∣≴∭⊉6333)↢((≴∭⊉4362≋⫹)⇞)⪥⨬⪅","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":651,"operation_count":7,"complexity_ratio":93.0,"tree":{"type":"unary","operator":"⪥⨬⪅","unary_expr":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":2603,"base":7},"right_expr":{"type":"numeric_atoms","value":1032,"base":7}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":3831,"base":7},"right_expr":{"type":"numeric_atoms","value":2229,"base":7}}},"right_expr":{"type":"unary","operator":"⇞","unary_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":1563,"base":7}}}}},"used_operators":["zNRQejTB5A","WR6HLWljOP","0ajvFaJAv0","D3AQDKkPcf","PPChnnnBFF","5JYyxRJd4f","N41Kp7NANJ"],"dependent_operators":["d7ASUq0ydm","Uaa54Peajs","3EYGwJThht","y4ImoPnbV5","JwTKLfZU96","rJVOvQCfKK","uWAJUKEvyW","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","cHh1gJQ2o6","AHs5Up7iyr","9FxExcQeMw","NTOWxs364D","7j4O788W3g","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","9FxExcQeMw","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd"],"result":"≴∭⊉-416","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2603","layer":4},{"info":"number node, value=1032","layer":4},{"info":"compute binary expreesion, left_input=2603, right_input=1032, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=1032","layer":3},{"info":"number node, value=3831","layer":4},{"info":"number node, value=2229","layer":4},{"info":"compute binary expreesion, left_input=3831, right_input=2229, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=3831","layer":3},{"info":"compute binary expreesion, left_input=1032, right_input=3831, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":2},{"info":"number node, value=1563","layer":4},{"info":"compute unary expreesion, input=1563, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-3126","layer":3},{"info":"compute unary expreesion, input=-3126, op_id = 5JYyxRJd4f, unary_op_definition = 'a⇞ = { (a≧⫂∧((a⩷∴a)⨸⪁(a-a))) , if a<7 ; ((⨞⊢(a∲⫓a))⫡⨏(a⊉≛↸(a⇼⇔∾a))) , else }', output=-537","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-537, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=-484","layer":1},{"info":"compute unary expreesion, input=-484, op_id = zNRQejTB5A, unary_op_definition = 'a⪥⨬⪅ = { (((a⨎1)⊹∫⫚(a⇄a))⫯⪬∳((a∽a)↳≱(∂a))) }', output=-209","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉10406∷≴∭⊉3003)⫁(≴∭⊉14112∣≴∭⊉6333)↢((≴∭⊉4362≋⫹)⇞)⪥⨬⪅=≴∭⊉-416","reverse_text":"≴∭⊉-416=(≴∭⊉10406∷≴∭⊉3003)⫁(≴∭⊉14112∣≴∭⊉6333)↢((≴∭⊉4362≋⫹)⇞)⪥⨬⪅","cot":[{"info":"≴∭⊉10406∷≴∭⊉3003=≴∭⊉3003","layer":3},{"info":"≴∭⊉14112∣≴∭⊉6333=≴∭⊉14112","layer":3},{"info":"≴∭⊉3003⫁≴∭⊉14112=≴∭⊉316","layer":2},{"info":"≴∭⊉4362≋⫹=≴∭⊉-12054","layer":3},{"info":"≴∭⊉-12054⇞=≴∭⊉-1365","layer":2},{"info":"≴∭⊉316↢≴∭⊉-1365=≴∭⊉-1261","layer":1},{"info":"≴∭⊉-1261⪥⨬⪅=≴∭⊉-416","layer":0}]}
+{"id":39,"expression_no_base_symbol":"($1029$⨔≚≋$3229$⫢⨠($1220$⇪⋭))⊮⊟↴(($6002$∠↢$1616$)⊝⪿⪼$4936$↳≱$2062$)⩚⊴⇥((⇜$1033$)⋥⋵⩄($2568$↬⩅∪))↓($3379$⊎←↗)⪟⇏($1562$≁$2232$)","expression":"(≴∭⊉3000⨔≚≋≴∭⊉12262⫢⨠(≴∭⊉3362⇪⋭))⊮⊟↴((≴∭⊉23333∠↢≴∭⊉4466)⊝⪿⪼≴∭⊉20251↳≱≴∭⊉6004)⩚⊴⇥((⇜≴∭⊉3004)⋥⋵⩄(≴∭⊉10326↬⩅∪))↓(≴∭⊉12565⊎←↗)⪟⇏(≴∭⊉4361≁≴∭⊉6336)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":1049,"operation_count":15,"complexity_ratio":69.93333333333334,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":1029,"base":7},"right_expr":{"type":"numeric_atoms","value":3229,"base":7}},"right_expr":{"type":"unary","operator":"⇪⋭","unary_expr":{"type":"numeric_atoms","value":1220,"base":7}}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":6002,"base":7},"right_expr":{"type":"numeric_atoms","value":1616,"base":7}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":4936,"base":7},"right_expr":{"type":"numeric_atoms","value":2062,"base":7}}}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"numeric_atoms","value":1033,"base":7}},"right_expr":{"type":"unary","operator":"↬⩅∪","unary_expr":{"type":"numeric_atoms","value":2568,"base":7}}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"unary","operator":"⊎←↗","unary_expr":{"type":"numeric_atoms","value":3379,"base":7}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":1562,"base":7},"right_expr":{"type":"numeric_atoms","value":2232,"base":7}}}}},"used_operators":["NTOWxs364D","QDVgd2eftb","xlXykHWxX1","Z57zeUYC9z","Z8Yg6dlDSp","3Oe9XWJUTD","KbjG8mgYpV","JwTKLfZU96","Af076pWI7l","7t3wd0Fuz7","lFBm8KRb8F","VJ330n2nnx","GODebY97qR","dwb5p0fa6d","8N2wDY1A35"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","T2fj7uvVaJ","5KTvxBwnZo","inkyxCbjAn","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","D4vGDi5EA2","23Mk6UjR3U","u6S6b8DprG","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","sdazOOVcIp","COABgblf1C","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v"],"result":"≴∭⊉-1000024461","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1029","layer":4},{"info":"number node, value=3229","layer":4},{"info":"compute binary expreesion, left_input=1029, right_input=3229, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"number node, value=1220","layer":4},{"info":"compute unary expreesion, input=1220, op_id = Z8Yg6dlDSp, unary_op_definition = 'a⇪⋭ = { ((a≒∊a)⋓(⇁⨣⪵a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=9872, right_input=nan, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=nan","layer":2},{"info":"number node, value=6002","layer":4},{"info":"number node, value=1616","layer":4},{"info":"compute binary expreesion, left_input=6002, right_input=1616, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-45550","layer":3},{"info":"number node, value=4936","layer":4},{"info":"number node, value=2062","layer":4},{"info":"compute binary expreesion, left_input=4936, right_input=2062, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-45550, right_input=0, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=-673318","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-673318, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=40360141","layer":1},{"info":"number node, value=1033","layer":4},{"info":"compute unary expreesion, input=1033, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-8672","layer":3},{"info":"number node, value=2568","layer":4},{"info":"compute unary expreesion, input=2568, op_id = VJ330n2nnx, unary_op_definition = 'a↬⩅∪ = { (a≦≮≮) , if (↽≂a)!=185 or a>=376 or a<=585 ; (a⋷a) , else }', output=-7704","layer":3},{"info":"compute binary expreesion, left_input=-8672, right_input=-7704, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=92840","layer":2},{"info":"number node, value=3379","layer":4},{"info":"compute unary expreesion, input=3379, op_id = dwb5p0fa6d, unary_op_definition = 'a⊎←↗ = { (a⊭↱340) , if (a⪨≂940)!=203 ; (a⊭↱a) , else }', output=-6073","layer":3},{"info":"number node, value=1562","layer":4},{"info":"number node, value=2232","layer":4},{"info":"compute binary expreesion, left_input=1562, right_input=2232, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=40367","layer":3},{"info":"compute binary expreesion, left_input=-6073, right_input=40367, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=92840, right_input=0, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-242","layer":1},{"info":"compute binary expreesion, left_input=40360141, right_input=-242, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-40360020","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉3000⨔≚≋≴∭⊉12262⫢⨠(≴∭⊉3362⇪⋭))⊮⊟↴((≴∭⊉23333∠↢≴∭⊉4466)⊝⪿⪼≴∭⊉20251↳≱≴∭⊉6004)⩚⊴⇥((⇜≴∭⊉3004)⋥⋵⩄(≴∭⊉10326↬⩅∪))↓(≴∭⊉12565⊎←↗)⪟⇏(≴∭⊉4361≁≴∭⊉6336)=≴∭⊉-1000024461","reverse_text":"≴∭⊉-1000024461=(≴∭⊉3000⨔≚≋≴∭⊉12262⫢⨠(≴∭⊉3362⇪⋭))⊮⊟↴((≴∭⊉23333∠↢≴∭⊉4466)⊝⪿⪼≴∭⊉20251↳≱≴∭⊉6004)⩚⊴⇥((⇜≴∭⊉3004)⋥⋵⩄(≴∭⊉10326↬⩅∪))↓(≴∭⊉12565⊎←↗)⪟⇏(≴∭⊉4361≁≴∭⊉6336)","cot":[{"info":"≴∭⊉3000⨔≚≋≴∭⊉12262=≴∭⊉40532","layer":3},{"info":"≴∭⊉3362⇪⋭=NaN","layer":3},{"info":"≴∭⊉40532⫢⨠NaN=NaN","layer":2},{"info":"≴∭⊉23333∠↢≴∭⊉4466=≴∭⊉-246541","layer":3},{"info":"≴∭⊉20251↳≱≴∭⊉6004=≴∭⊉0","layer":3},{"info":"≴∭⊉-246541⊝⪿⪼≴∭⊉0=≴∭⊉-5503012","layer":2},{"info":"NaN⊮⊟↴≴∭⊉-5503012=≴∭⊉1000025023","layer":1},{"info":"⇜≴∭⊉3004=≴∭⊉-34166","layer":3},{"info":"≴∭⊉10326↬⩅∪=≴∭⊉-31314","layer":3},{"info":"≴∭⊉-34166⋥⋵⩄≴∭⊉-31314=≴∭⊉534446","layer":2},{"info":"≴∭⊉12565⊎←↗=≴∭⊉-23464","layer":3},{"info":"≴∭⊉4361≁≴∭⊉6336=≴∭⊉225455","layer":3},{"info":"≴∭⊉-23464⪟⇏≴∭⊉225455=≴∭⊉0","layer":2},{"info":"≴∭⊉534446↓≴∭⊉0=≴∭⊉-464","layer":1},{"info":"≴∭⊉1000025023⩚⊴⇥≴∭⊉-464=≴∭⊉-1000024461","layer":0}]}
+{"id":40,"expression_no_base_symbol":"(⨂⪏⇭((⇋⊎⋝$2550$)⊔($1560$⪨≂$4161$)))≴⪞⇿(⪨⨬(($4048$⪛$4377$)⨼⩣($2439$≬⋮$2288$)))","expression":"(⨂⪏⇭((⇋⊎⋝≴∭⊉10302)⊔(≴∭⊉4356⪨≂≴∭⊉15063)))≴⪞⇿(⪨⨬((≴∭⊉14542⪛≴∭⊉15522)⨼⩣(≴∭⊉10053≬⋮≴∭⊉6446)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3041,"operation_count":9,"complexity_ratio":337.8888888888889,"tree":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"numeric_atoms","value":2550,"base":7}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1560,"base":7},"right_expr":{"type":"numeric_atoms","value":4161,"base":7}}}},"right_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":4048,"base":7},"right_expr":{"type":"numeric_atoms","value":4377,"base":7}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":2439,"base":7},"right_expr":{"type":"numeric_atoms","value":2288,"base":7}}}}},"used_operators":["lvlrscuwVU","AYdpE9sXAk","E4l6HwMY31","CzM2PEoXns","sdazOOVcIp","5obUd6DV38","JxwMv5le6e","uFcxV4UQCh","kbkesczE7y"],"dependent_operators":["DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","T2fj7uvVaJ","nlCqmYiOvY","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2550","layer":4},{"info":"compute unary expreesion, input=2550, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":3},{"info":"number node, value=1560","layer":4},{"info":"number node, value=4161","layer":4},{"info":"compute binary expreesion, left_input=1560, right_input=4161, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-5100","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5100, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=nan","layer":1},{"info":"number node, value=4048","layer":4},{"info":"number node, value=4377","layer":4},{"info":"compute binary expreesion, left_input=4048, right_input=4377, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=4048","layer":3},{"info":"number node, value=2439","layer":4},{"info":"number node, value=2288","layer":4},{"info":"compute binary expreesion, left_input=2439, right_input=2288, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=4048, right_input=868, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(⨂⪏⇭((⇋⊎⋝≴∭⊉10302)⊔(≴∭⊉4356⪨≂≴∭⊉15063)))≴⪞⇿(⪨⨬((≴∭⊉14542⪛≴∭⊉15522)⨼⩣(≴∭⊉10053≬⋮≴∭⊉6446)))=NaN","reverse_text":"NaN=(⨂⪏⇭((⇋⊎⋝≴∭⊉10302)⊔(≴∭⊉4356⪨≂≴∭⊉15063)))≴⪞⇿(⪨⨬((≴∭⊉14542⪛≴∭⊉15522)⨼⩣(≴∭⊉10053≬⋮≴∭⊉6446)))","cot":[{"info":"⇋⊎⋝≴∭⊉10302=NaN","layer":3},{"info":"≴∭⊉4356⪨≂≴∭⊉15063=≴∭⊉-20604","layer":3},{"info":"NaN⊔≴∭⊉-20604=NaN","layer":2},{"info":"⨂⪏⇭NaN=NaN","layer":1},{"info":"≴∭⊉14542⪛≴∭⊉15522=≴∭⊉14542","layer":3},{"info":"≴∭⊉10053≬⋮≴∭⊉6446=≴∭⊉2350","layer":3},{"info":"≴∭⊉14542⨼⩣≴∭⊉2350=NaN","layer":2},{"info":"⪨⨬NaN=NaN","layer":1},{"info":"NaN≴⪞⇿NaN=NaN","layer":0}]}
+{"id":41,"expression_no_base_symbol":"(($4487$∋$2834$⊍⩺⋍$1056$≬⇓$2911$)∣($7638$⨫⇇↔$1233$)⇍⊗$2887$⨿$5253$)↦","expression":"((≴∭⊉16040∋≴∭⊉11156⊍⩺⋍≴∭⊉3036≬⇓≴∭⊉11326)∣(≴∭⊉31161⨫⇇↔≴∭⊉3411)⇍⊗≴∭⊉11263⨿≴∭⊉21213)↦","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5590,"operation_count":8,"complexity_ratio":698.75,"tree":{"type":"unary","operator":"↦","unary_expr":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":4487,"base":7},"right_expr":{"type":"numeric_atoms","value":2834,"base":7}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":1056,"base":7},"right_expr":{"type":"numeric_atoms","value":2911,"base":7}}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":7638,"base":7},"right_expr":{"type":"numeric_atoms","value":1233,"base":7}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":2887,"base":7},"right_expr":{"type":"numeric_atoms","value":5253,"base":7}}}}},"used_operators":["fFznvYxMfW","PPChnnnBFF","OXDGMFPWZM","ukq6epAj5P","jWTQ2TZYIH","5uvYHDjeKN","LXhwmt4mBO","abYXlopdE0"],"dependent_operators":["L05ObWFQCd","d7ASUq0ydm","inkyxCbjAn","9HNa5Wba9A","AHs5Up7iyr","xRrnTEsQ6j","vkpjKywKVM","Z5m6OM72h2","eewbuw0ToL","uWAJUKEvyW","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4487","layer":4},{"info":"number node, value=2834","layer":4},{"info":"compute binary expreesion, left_input=4487, right_input=2834, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=6051700","layer":3},{"info":"number node, value=1056","layer":4},{"info":"number node, value=2911","layer":4},{"info":"compute binary expreesion, left_input=1056, right_input=2911, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":3},{"info":"compute binary expreesion, left_input=6051700, right_input=-22, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":2},{"info":"number node, value=7638","layer":4},{"info":"number node, value=1233","layer":4},{"info":"compute binary expreesion, left_input=7638, right_input=1233, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"number node, value=2887","layer":4},{"info":"number node, value=5253","layer":4},{"info":"compute binary expreesion, left_input=2887, right_input=5253, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"compute binary expreesion, left_input=-527, right_input=-319, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-244, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = fFznvYxMfW, unary_op_definition = 'a↦ = { (((a⊹∫⫚a)*177)⊹∫⫚((579⨰53)⪍↜⋙a)) , if a<72 ; ((⇁⨣⪵(a⫯⪬∳a))⫁⪎((a∘a)≹⇙⪍(a⇮⋭a))) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉16040∋≴∭⊉11156⊍⩺⋍≴∭⊉3036≬⇓≴∭⊉11326)∣(≴∭⊉31161⨫⇇↔≴∭⊉3411)⇍⊗≴∭⊉11263⨿≴∭⊉21213)↦=NaN","reverse_text":"NaN=((≴∭⊉16040∋≴∭⊉11156⊍⩺⋍≴∭⊉3036≬⇓≴∭⊉11326)∣(≴∭⊉31161⨫⇇↔≴∭⊉3411)⇍⊗≴∭⊉11263⨿≴∭⊉21213)↦","cot":[{"info":"≴∭⊉16040∋≴∭⊉11156=≴∭⊉102303304","layer":3},{"info":"≴∭⊉3036≬⇓≴∭⊉11326=≴∭⊉-31","layer":3},{"info":"≴∭⊉102303304⊍⩺⋍≴∭⊉-31=NaN","layer":2},{"info":"≴∭⊉31161⨫⇇↔≴∭⊉3411=≴∭⊉-1352","layer":3},{"info":"≴∭⊉11263⨿≴∭⊉21213=≴∭⊉-634","layer":3},{"info":"≴∭⊉-1352⇍⊗≴∭⊉-634=≴∭⊉-466","layer":2},{"info":"NaN∣≴∭⊉-466=NaN","layer":1},{"info":"NaN↦=NaN","layer":0}]}
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(a⨪↰⇹b) , else }', output=6145","layer":3},{"info":"number node, value=3417","layer":4},{"info":"number node, value=1342","layer":4},{"info":"compute binary expreesion, left_input=3417, right_input=1342, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-20933","layer":3},{"info":"compute binary expreesion, left_input=6145, right_input=-20933, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-12534","layer":2},{"info":"number node, value=4169","layer":4},{"info":"number node, value=6530","layer":4},{"info":"compute binary expreesion, left_input=4169, right_input=6530, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=12634","layer":3},{"info":"number node, value=3269","layer":4},{"info":"compute unary expreesion, input=3269, op_id = 6aG7x05OhS, unary_op_definition = 'a⫩ = { (a⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=12634, right_input=nan, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-13207","layer":2},{"info":"compute binary expreesion, left_input=-12534, right_input=-13207, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=-22255","layer":1},{"info":"number node, value=3294","layer":4},{"info":"compute unary expreesion, input=3294, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-36132","layer":3},{"info":"compute unary expreesion, input=-36132, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=36566","layer":2},{"info":"number node, value=2257","layer":4},{"info":"number node, value=8932","layer":4},{"info":"compute binary expreesion, left_input=2257, right_input=8932, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-30280","layer":3},{"info":"number node, value=1976","layer":4},{"info":"number node, value=1001","layer":4},{"info":"compute binary expreesion, left_input=1976, right_input=1001, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-3646","layer":3},{"info":"compute binary expreesion, left_input=-30280, right_input=-3646, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-67852","layer":2},{"info":"compute binary expreesion, left_input=36566, right_input=-67852, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-148","layer":1},{"info":"compute binary expreesion, left_input=-22255, right_input=-148, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=354504","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉23626⫲≸⪮≴∭⊉11515)⊢(≴∭⊉12651∽≴∭⊉3625))⨔⇊((≴∭⊉15104⊾⪯⋞≴∭⊉25016)≬⇓(≴∭⊉12350⫩))⨔≚≋((⇤←(⇾⩊⇾≴∭⊉12414))⊹∫⫚(≴∭⊉6403⨚≴∭⊉35020⨸⪁≴∭⊉5522≠≀≴∭⊉2630))=≴∭⊉3004353","reverse_text":"≴∭⊉3004353=((≴∭⊉23626⫲≸⪮≴∭⊉11515)⊢(≴∭⊉12651∽≴∭⊉3625))⨔⇊((≴∭⊉15104⊾⪯⋞≴∭⊉25016)≬⇓(≴∭⊉12350⫩))⨔≚≋((⇤←(⇾⩊⇾≴∭⊉12414))⊹∫⫚(≴∭⊉6403⨚≴∭⊉35020⨸⪁≴∭⊉5522≠≀≴∭⊉2630))","cot":[{"info":"≴∭⊉23626⫲≸⪮≴∭⊉11515=≴∭⊉23626","layer":3},{"info":"≴∭⊉12651∽≴∭⊉3625=≴∭⊉-115013","layer":3},{"info":"≴∭⊉23626⊢≴∭⊉-115013=≴∭⊉-51354","layer":2},{"info":"≴∭⊉15104⊾⪯⋞≴∭⊉25016=≴∭⊉51556","layer":3},{"info":"≴∭⊉12350⫩=NaN","layer":3},{"info":"≴∭⊉51556≬⇓NaN=≴∭⊉-53335","layer":2},{"info":"≴∭⊉-51354⨔⇊≴∭⊉-53335=≴∭⊉-121612","layer":1},{"info":"⇾⩊⇾≴∭⊉12414=≴∭⊉-210225","layer":3},{"info":"⇤←≴∭⊉-210225=≴∭⊉211415","layer":2},{"info":"≴∭⊉6403⨚≴∭⊉35020=≴∭⊉-154165","layer":3},{"info":"≴∭⊉5522≠≀≴∭⊉2630=≴∭⊉-13426","layer":3},{"info":"≴∭⊉-154165⨸⪁≴∭⊉-13426=≴∭⊉-401551","layer":2},{"info":"≴∭⊉211415⊹∫⫚≴∭⊉-401551=≴∭⊉-301","layer":1},{"info":"≴∭⊉-121612⨔≚≋≴∭⊉-301=≴∭⊉3004353","layer":0}]}
+{"id":43,"expression_no_base_symbol":"(($6328$⇮⋭$1360$)⩦($1307$⫡⨏$1563$))≌($1080$⪎↠$1199$⊾⪯⋞$1553$⪔⊥$1043$)≀⩗∶($3316$∥⊢⊲$5213$⊬⨰(↩⪖$1535$)≑≱⪘)","expression":"((≴∭⊉24310⇮⋭≴∭⊉3652)⩦(≴∭⊉3545⫡⨏≴∭⊉4362))≌(≴∭⊉3102⪎↠≴∭⊉3332⊾⪯⋞≴∭⊉4346⪔⊥≴∭⊉3020)≀⩗∶(≴∭⊉12445∥⊢⊲≴∭⊉21125⊬⨰(↩⪖≴∭⊉4322)≑≱⪘)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":7797,"operation_count":12,"complexity_ratio":649.75,"tree":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":6328,"base":7},"right_expr":{"type":"numeric_atoms","value":1360,"base":7}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1307,"base":7},"right_expr":{"type":"numeric_atoms","value":1563,"base":7}}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":1080,"base":7},"right_expr":{"type":"numeric_atoms","value":1199,"base":7}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":1553,"base":7},"right_expr":{"type":"numeric_atoms","value":1043,"base":7}}}},"right_expr":{"type":"unary","operator":"≑≱⪘","unary_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":3316,"base":7},"right_expr":{"type":"numeric_atoms","value":5213,"base":7}},"right_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"numeric_atoms","value":1535,"base":7}}}}},"used_operators":["8INZBEW696","lyWz822IDG","0kmYd0q39Y","vkpjKywKVM","QMFrweE19q","HK0tfVPux8","3tVxb0NHM4","HJ9erzHUuu","tGSeddj7UK","s3Fd5m9Dh2","v1UQAVDJRr","fG6uBQFnGz"],"dependent_operators":["KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","W4YGzv6Whe","t8gj7n24qd","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","EBcxylXtPf","rGHVDoGpnC","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6328","layer":4},{"info":"number node, value=1360","layer":4},{"info":"compute binary expreesion, left_input=6328, right_input=1360, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"number node, value=1307","layer":4},{"info":"number node, value=1563","layer":4},{"info":"compute binary expreesion, left_input=1307, right_input=1563, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=10444","layer":3},{"info":"compute binary expreesion, left_input=-473, right_input=10444, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=-47469","layer":2},{"info":"number node, value=1080","layer":4},{"info":"number node, value=1199","layer":4},{"info":"compute binary expreesion, left_input=1080, right_input=1199, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"number node, value=1553","layer":4},{"info":"number node, value=1043","layer":4},{"info":"compute binary expreesion, left_input=1553, right_input=1043, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=3927","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=3927, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=7428","layer":2},{"info":"compute binary expreesion, left_input=-47469, right_input=7428, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":1},{"info":"number node, value=3316","layer":4},{"info":"number node, value=5213","layer":4},{"info":"compute binary expreesion, left_input=3316, right_input=5213, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"number node, value=1535","layer":4},{"info":"compute unary expreesion, input=1535, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-12192","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-12192, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = tGSeddj7UK, unary_op_definition = 'a≑≱⪘ = { ((⊄⩳↩(6≧⫂∧a))⩍⋽⫝̸((a⊲⩕⊾a)≦↸(a⋆⋳))) , if (a↹⊜255)>=30 or (a↯⫤)>122 ; ((a⩷∴(a⪒⊣⊆a))⨽(a⊬⫿⊭)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉24310⇮⋭≴∭⊉3652)⩦(≴∭⊉3545⫡⨏≴∭⊉4362))≌(≴∭⊉3102⪎↠≴∭⊉3332⊾⪯⋞≴∭⊉4346⪔⊥≴∭⊉3020)≀⩗∶(≴∭⊉12445∥⊢⊲≴∭⊉21125⊬⨰(↩⪖≴∭⊉4322)≑≱⪘)=NaN","reverse_text":"NaN=((≴∭⊉24310⇮⋭≴∭⊉3652)⩦(≴∭⊉3545⫡⨏≴∭⊉4362))≌(≴∭⊉3102⪎↠≴∭⊉3332⊾⪯⋞≴∭⊉4346⪔⊥≴∭⊉3020)≀⩗∶(≴∭⊉12445∥⊢⊲≴∭⊉21125⊬⨰(↩⪖≴∭⊉4322)≑≱⪘)","cot":[{"info":"≴∭⊉24310⇮⋭≴∭⊉3652=≴∭⊉-1244","layer":3},{"info":"≴∭⊉3545⫡⨏≴∭⊉4362=≴∭⊉42310","layer":3},{"info":"≴∭⊉-1244⩦≴∭⊉42310=≴∭⊉-255252","layer":2},{"info":"≴∭⊉3102⪎↠≴∭⊉3332=≴∭⊉316","layer":3},{"info":"≴∭⊉4346⪔⊥≴∭⊉3020=≴∭⊉14310","layer":3},{"info":"≴∭⊉316⊾⪯⋞≴∭⊉14310=≴∭⊉30441","layer":2},{"info":"≴∭⊉-255252≌≴∭⊉30441=NaN","layer":1},{"info":"≴∭⊉12445∥⊢⊲≴∭⊉21125=NaN","layer":3},{"info":"↩⪖≴∭⊉4322=≴∭⊉-50355","layer":3},{"info":"NaN⊬⨰≴∭⊉-50355=NaN","layer":2},{"info":"NaN≑≱⪘=NaN","layer":1},{"info":"NaN≀⩗∶NaN=NaN","layer":0}]}
+{"id":44,"expression_no_base_symbol":"(≇⪴((↨⩢⫨$3736$)⩇∃⫛($3091$≎⊠⪸$1954$)))⨀⨒","expression":"(≇⪴((↨⩢⫨≴∭⊉13615)⩇∃⫛(≴∭⊉12004≎⊠⪸≴∭⊉5461)))⨀⨒","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":391,"operation_count":5,"complexity_ratio":78.2,"tree":{"type":"unary","operator":"⨀⨒","unary_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"numeric_atoms","value":3736,"base":7}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3091,"base":7},"right_expr":{"type":"numeric_atoms","value":1954,"base":7}}}}},"used_operators":["j6NVkjMzuk","zoVPnxeHJ3","1aApVXNlOP","Z5CJsN7DuW","bJkvcejdHO"],"dependent_operators":["E4l6HwMY31","Ikt5ks8PT7","HmxsFra2vL","oacrs7FA3X","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"≴∭⊉-10006","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3736","layer":4},{"info":"compute unary expreesion, input=3736, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":3},{"info":"number node, value=3091","layer":4},{"info":"number node, value=1954","layer":4},{"info":"compute binary expreesion, left_input=3091, right_input=1954, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=800096","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=800096, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=800569","layer":2},{"info":"compute unary expreesion, input=800569, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-2400367","layer":1},{"info":"compute unary expreesion, input=-2400367, op_id = j6NVkjMzuk, unary_op_definition = 'a⨀⨒ = { ((a⪘⫢a)⊔(a⪘⫢a)) , if a!=184 ; ((a⩧⪆a)∙∹∝a) , else }', output=-2407","layer":0}],"base":7,"result_base":7,"text":"(≇⪴((↨⩢⫨≴∭⊉13615)⩇∃⫛(≴∭⊉12004≎⊠⪸≴∭⊉5461)))⨀⨒=≴∭⊉-10006","reverse_text":"≴∭⊉-10006=(≇⪴((↨⩢⫨≴∭⊉13615)⩇∃⫛(≴∭⊉12004≎⊠⪸≴∭⊉5461)))⨀⨒","cot":[{"info":"↨⩢⫨≴∭⊉13615=≴∭⊉0","layer":3},{"info":"≴∭⊉12004≎⊠⪸≴∭⊉5461=≴∭⊉6541433","layer":3},{"info":"≴∭⊉0⩇∃⫛≴∭⊉6541433=≴∭⊉6543010","layer":2},{"info":"≇⪴≴∭⊉6543010=≴∭⊉-26255104","layer":1},{"info":"≴∭⊉-26255104⨀⨒=≴∭⊉-10006","layer":0}]}
+{"id":45,"expression_no_base_symbol":"((⋠∜$1623$⫁⪎$8493$)≒∊(⫯$2294$)⊔($2215$∠⫱$2676$))⨔⇊(($2790$⪔⊥$2709$⊾⪯⋞$1321$⋅⇍$6344$)≧⫂∧($1239$⋷$1362$)≝⊿($4477$⇮⋭$5879$))","expression":"((⋠∜≴∭⊉4506⫁⪎≴∭⊉33522)≒∊(⫯≴∭⊉6455)⊔(≴∭⊉6313∠⫱≴∭⊉10542))⨔⇊((≴∭⊉11064⪔⊥≴∭⊉10620⊾⪯⋞≴∭⊉3565⋅⇍≴∭⊉24332)≧⫂∧(≴∭⊉3420⋷≴∭⊉3654)≝⊿(≴∭⊉16024⇮⋭≴∭⊉23066))","highest_n_order":3,"priority_hierarchical_complexity":12,"normalized_expansion_degree":256,"operation_count":14,"complexity_ratio":18.285714285714285,"tree":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":1623,"base":7},"right_expr":{"type":"numeric_atoms","value":8493,"base":7}}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"unary","operator":"⫯","unary_expr":{"type":"numeric_atoms","value":2294,"base":7}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":2215,"base":7},"right_expr":{"type":"numeric_atoms","value":2676,"base":7}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":2790,"base":7},"right_expr":{"type":"numeric_atoms","value":2709,"base":7}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":1321,"base":7},"right_expr":{"type":"numeric_atoms","value":6344,"base":7}}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1239,"base":7},"right_expr":{"type":"numeric_atoms","value":1362,"base":7}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":4477,"base":7},"right_expr":{"type":"numeric_atoms","value":5879,"base":7}}}}},"used_operators":["JclMnS0uGI","5KTvxBwnZo","ZJpFhNJr3x","xRrnTEsQ6j","E4l6HwMY31","H6BK1Evt7c","QvoQhV0rrE","Ph9nP6C5qx","HK0tfVPux8","HJ9erzHUuu","AdZkA7nFnk","OKKcZfAt5B","23Mk6UjR3U","vkpjKywKVM"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW"],"result":"≴∭⊉512","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1623","layer":4},{"info":"number node, value=8493","layer":4},{"info":"compute binary expreesion, left_input=1623, right_input=8493, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-6870","layer":3},{"info":"compute unary expreesion, input=-6870, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=-25196","layer":2},{"info":"number node, value=2294","layer":4},{"info":"compute unary expreesion, input=2294, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=-81560","layer":3},{"info":"number node, value=2215","layer":4},{"info":"number node, value=2676","layer":4},{"info":"compute binary expreesion, left_input=2215, right_input=2676, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=-81560, right_input=1234, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=328232","layer":2},{"info":"compute binary expreesion, left_input=-25196, right_input=328232, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=25680","layer":1},{"info":"number node, value=2790","layer":4},{"info":"number node, value=2709","layer":4},{"info":"compute binary expreesion, left_input=2790, right_input=2709, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=5543","layer":3},{"info":"number node, value=1321","layer":4},{"info":"number node, value=6344","layer":4},{"info":"compute binary expreesion, left_input=1321, right_input=6344, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"compute binary expreesion, left_input=5543, right_input=-22, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=-818","layer":2},{"info":"number node, value=1239","layer":4},{"info":"number node, value=1362","layer":4},{"info":"compute binary expreesion, left_input=1239, right_input=1362, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1485","layer":3},{"info":"number node, value=4477","layer":4},{"info":"number node, value=5879","layer":4},{"info":"compute binary expreesion, left_input=4477, right_input=5879, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute binary expreesion, left_input=1485, right_input=-473, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-1072","layer":2},{"info":"compute binary expreesion, left_input=-818, right_input=-1072, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=254","layer":1},{"info":"compute binary expreesion, left_input=25680, right_input=254, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=254","layer":0}],"base":7,"result_base":7,"text":"((⋠∜≴∭⊉4506⫁⪎≴∭⊉33522)≒∊(⫯≴∭⊉6455)⊔(≴∭⊉6313∠⫱≴∭⊉10542))⨔⇊((≴∭⊉11064⪔⊥≴∭⊉10620⊾⪯⋞≴∭⊉3565⋅⇍≴∭⊉24332)≧⫂∧(≴∭⊉3420⋷≴∭⊉3654)≝⊿(≴∭⊉16024⇮⋭≴∭⊉23066))=≴∭⊉512","reverse_text":"≴∭⊉512=((⋠∜≴∭⊉4506⫁⪎≴∭⊉33522)≒∊(⫯≴∭⊉6455)⊔(≴∭⊉6313∠⫱≴∭⊉10542))⨔⇊((≴∭⊉11064⪔⊥≴∭⊉10620⊾⪯⋞≴∭⊉3565⋅⇍≴∭⊉24332)≧⫂∧(≴∭⊉3420⋷≴∭⊉3654)≝⊿(≴∭⊉16024⇮⋭≴∭⊉23066))","cot":[{"info":"≴∭⊉4506⫁⪎≴∭⊉33522=≴∭⊉-26013","layer":3},{"info":"⋠∜≴∭⊉-26013=≴∭⊉-133313","layer":2},{"info":"⫯≴∭⊉6455=≴∭⊉-456533","layer":3},{"info":"≴∭⊉6313∠⫱≴∭⊉10542=≴∭⊉3412","layer":3},{"info":"≴∭⊉-456533⊔≴∭⊉3412=≴∭⊉2534642","layer":2},{"info":"≴∭⊉-133313≒∊≴∭⊉2534642=≴∭⊉134604","layer":1},{"info":"≴∭⊉11064⪔⊥≴∭⊉10620=≴∭⊉22106","layer":3},{"info":"≴∭⊉3565⋅⇍≴∭⊉24332=≴∭⊉-31","layer":3},{"info":"≴∭⊉22106⊾⪯⋞≴∭⊉-31=≴∭⊉-2246","layer":2},{"info":"≴∭⊉3420⋷≴∭⊉3654=≴∭⊉4221","layer":3},{"info":"≴∭⊉16024⇮⋭≴∭⊉23066=≴∭⊉-1244","layer":3},{"info":"≴∭⊉4221≝⊿≴∭⊉-1244=≴∭⊉-3061","layer":2},{"info":"≴∭⊉-2246≧⫂∧≴∭⊉-3061=≴∭⊉512","layer":1},{"info":"≴∭⊉134604⨔⇊≴∭⊉512=≴∭⊉512","layer":0}]}
+{"id":46,"expression_no_base_symbol":"(⪁⇼((⪨⨬$3960$)⩎⪣⊞))⇴∐(≪(($7251$⩁⩘$4027$)∳⫺(≉$5562$)))","expression":"(⪁⇼((⪨⨬≴∭⊉14355)⩎⪣⊞))⇴∐(≪((≴∭⊉30066⩁⩘≴∭⊉14512)∳⫺(≉≴∭⊉22134)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":7554,"operation_count":8,"complexity_ratio":944.25,"tree":{"type":"binary","operator":"⇴∐","left_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"unary","operator":"⩎⪣⊞","unary_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"numeric_atoms","value":3960,"base":7}}}},"right_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":7251,"base":7},"right_expr":{"type":"numeric_atoms","value":4027,"base":7}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":5562,"base":7}}}}},"used_operators":["HnzytWxmAO","ZNVVrZ94lY","waWucp1uQ4","5obUd6DV38","Qtd6bqUJcN","AzXXKTstlj","gub5Cegaqo","e1ybzncUwg"],"dependent_operators":["2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","mp7IySMOzn","T2fj7uvVaJ","nlCqmYiOvY","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","DpFCA1CohY","IWmyXbctLI","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3960","layer":4},{"info":"compute unary expreesion, input=3960, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":3},{"info":"compute unary expreesion, input=-526, op_id = waWucp1uQ4, unary_op_definition = 'a⩎⪣⊞ = { (a⇷a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=nan","layer":1},{"info":"number node, value=7251","layer":4},{"info":"number node, value=4027","layer":4},{"info":"compute binary expreesion, left_input=7251, right_input=4027, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=17056","layer":3},{"info":"number node, value=5562","layer":4},{"info":"compute unary expreesion, input=5562, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=6093","layer":3},{"info":"compute binary expreesion, left_input=17056, right_input=6093, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":2},{"info":"compute unary expreesion, input=-260, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=2991","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2991, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(⪁⇼((⪨⨬≴∭⊉14355)⩎⪣⊞))⇴∐(≪((≴∭⊉30066⩁⩘≴∭⊉14512)∳⫺(≉≴∭⊉22134)))=NaN","reverse_text":"NaN=(⪁⇼((⪨⨬≴∭⊉14355)⩎⪣⊞))⇴∐(≪((≴∭⊉30066⩁⩘≴∭⊉14512)∳⫺(≉≴∭⊉22134)))","cot":[{"info":"⪨⨬≴∭⊉14355=≴∭⊉-1351","layer":3},{"info":"≴∭⊉-1351⩎⪣⊞=NaN","layer":2},{"info":"⪁⇼NaN=NaN","layer":1},{"info":"≴∭⊉30066⩁⩘≴∭⊉14512=≴∭⊉100504","layer":3},{"info":"≉≴∭⊉22134=≴∭⊉23523","layer":3},{"info":"≴∭⊉100504∳⫺≴∭⊉23523=≴∭⊉-521","layer":2},{"info":"≪≴∭⊉-521=≴∭⊉11502","layer":1},{"info":"NaN⇴∐≴∭⊉11502=NaN","layer":0}]}
+{"id":47,"expression_no_base_symbol":"↨⩢⫨(⪨⨬($4646$≒∊$1629$⨵⪆$1822$⪔⊥$3034$))","expression":"↨⩢⫨(⪨⨬(≴∭⊉16355≒∊≴∭⊉4515⨵⪆≴∭⊉5212⪔⊥≴∭⊉11563))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":98,"operation_count":5,"complexity_ratio":19.6,"tree":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":4646,"base":7},"right_expr":{"type":"numeric_atoms","value":1629,"base":7}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":1822,"base":7},"right_expr":{"type":"numeric_atoms","value":3034,"base":7}}}}},"used_operators":["Z5CJsN7DuW","5obUd6DV38","2DQ55sFlQl","5KTvxBwnZo","HJ9erzHUuu"],"dependent_operators":["Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","T2fj7uvVaJ","nlCqmYiOvY","rysDP5nf3Z","t8gj7n24qd","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4646","layer":4},{"info":"number node, value=1629","layer":4},{"info":"compute binary expreesion, left_input=4646, right_input=1629, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-4162","layer":3},{"info":"number node, value=1822","layer":4},{"info":"number node, value=3034","layer":4},{"info":"compute binary expreesion, left_input=1822, right_input=3034, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=1021","layer":3},{"info":"compute binary expreesion, left_input=-4162, right_input=1021, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":1},{"info":"compute unary expreesion, input=-526, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":0}],"base":7,"result_base":7,"text":"↨⩢⫨(⪨⨬(≴∭⊉16355≒∊≴∭⊉4515⨵⪆≴∭⊉5212⪔⊥≴∭⊉11563))=≴∭⊉0","reverse_text":"≴∭⊉0=↨⩢⫨(⪨⨬(≴∭⊉16355≒∊≴∭⊉4515⨵⪆≴∭⊉5212⪔⊥≴∭⊉11563))","cot":[{"info":"≴∭⊉16355≒∊≴∭⊉4515=≴∭⊉-15064","layer":3},{"info":"≴∭⊉5212⪔⊥≴∭⊉11563=≴∭⊉2656","layer":3},{"info":"≴∭⊉-15064⨵⪆≴∭⊉2656=≴∭⊉316","layer":2},{"info":"⪨⨬≴∭⊉316=≴∭⊉-1351","layer":1},{"info":"↨⩢⫨≴∭⊉-1351=≴∭⊉0","layer":0}]}
+{"id":48,"expression_no_base_symbol":"($1564$≀⩗∶$1296$)⨓($3243$⋷$1318$)≎⊠⪸($7594$≚⊃≕$4328$⫃⨇$3049$⩖⊿$4577$)↱($1885$⩢≌)⩣⫁∢($7321$⇴∐$1903$)⪔(≸≮($1093$⨐⩸⫘$1200$))","expression":"(≴∭⊉4363≀⩗∶≴∭⊉3531)⨓(≴∭⊉12312⋷≴∭⊉3562)≎⊠⪸(≴∭⊉31066≚⊃≕≴∭⊉15422⫃⨇≴∭⊉11614⩖⊿≴∭⊉16226)↱(≴∭⊉5332⩢≌)⩣⫁∢(≴∭⊉30226⇴∐≴∭⊉5356)⪔(≸≮(≴∭⊉3121⨐⩸⫘≴∭⊉3333))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1115,"operation_count":14,"complexity_ratio":79.64285714285714,"tree":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":1564,"base":7},"right_expr":{"type":"numeric_atoms","value":1296,"base":7}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":3243,"base":7},"right_expr":{"type":"numeric_atoms","value":1318,"base":7}}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":7594,"base":7},"right_expr":{"type":"numeric_atoms","value":4328,"base":7}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":3049,"base":7},"right_expr":{"type":"numeric_atoms","value":4577,"base":7}}}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"unary","operator":"⩢≌","unary_expr":{"type":"numeric_atoms","value":1885,"base":7}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":7321,"base":7},"right_expr":{"type":"numeric_atoms","value":1903,"base":7}}},"right_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1093,"base":7},"right_expr":{"type":"numeric_atoms","value":1200,"base":7}}}}},"used_operators":["SR5kFfdi6N","bJkvcejdHO","3ViojmjbAp","8INZBEW696","23Mk6UjR3U","09Ly4LVMIf","Bmrmz2XGnR","RZ5CV9rWsJ","GjBEYRfMaF","JDUIKTTSIa","D617RFjZIq","HnzytWxmAO","AljMvE3RRm","fu6greOZ01"],"dependent_operators":["k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","hTbEZDJLEm","o20kRiQErp","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1564","layer":4},{"info":"number node, value=1296","layer":4},{"info":"compute binary expreesion, left_input=1564, right_input=1296, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":3},{"info":"number node, value=3243","layer":4},{"info":"number node, value=1318","layer":4},{"info":"compute binary expreesion, left_input=3243, right_input=1318, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-607","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-607, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-610","layer":2},{"info":"number node, value=7594","layer":4},{"info":"number node, value=4328","layer":4},{"info":"compute binary expreesion, left_input=7594, right_input=4328, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":3},{"info":"number node, value=3049","layer":4},{"info":"number node, value=4577","layer":4},{"info":"compute binary expreesion, left_input=3049, right_input=4577, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=24338","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=24338, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-97384","layer":2},{"info":"compute binary expreesion, left_input=-610, right_input=-97384, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":1},{"info":"number node, value=1885","layer":4},{"info":"compute unary expreesion, input=1885, op_id = D617RFjZIq, unary_op_definition = 'a⩢≌ = { ((a∸)∟) }', output=113","layer":3},{"info":"number node, value=7321","layer":4},{"info":"number node, value=1903","layer":4},{"info":"compute binary expreesion, left_input=7321, right_input=1903, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=nan, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=nan","layer":2},{"info":"number node, value=1093","layer":4},{"info":"number node, value=1200","layer":4},{"info":"compute binary expreesion, left_input=1093, right_input=1200, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉4363≀⩗∶≴∭⊉3531)⨓(≴∭⊉12312⋷≴∭⊉3562)≎⊠⪸(≴∭⊉31066≚⊃≕≴∭⊉15422⫃⨇≴∭⊉11614⩖⊿≴∭⊉16226)↱(≴∭⊉5332⩢≌)⩣⫁∢(≴∭⊉30226⇴∐≴∭⊉5356)⪔(≸≮(≴∭⊉3121⨐⩸⫘≴∭⊉3333))=NaN","reverse_text":"NaN=(≴∭⊉4363≀⩗∶≴∭⊉3531)⨓(≴∭⊉12312⋷≴∭⊉3562)≎⊠⪸(≴∭⊉31066≚⊃≕≴∭⊉15422⫃⨇≴∭⊉11614⩖⊿≴∭⊉16226)↱(≴∭⊉5332⩢≌)⩣⫁∢(≴∭⊉30226⇴∐≴∭⊉5356)⪔(≸≮(≴∭⊉3121⨐⩸⫘≴∭⊉3333))","cot":[{"info":"≴∭⊉4363≀⩗∶≴∭⊉3531=≴∭⊉0","layer":3},{"info":"≴∭⊉12312⋷≴∭⊉3562=≴∭⊉-1525","layer":3},{"info":"≴∭⊉0⨓≴∭⊉-1525=≴∭⊉-1531","layer":2},{"info":"≴∭⊉31066≚⊃≕≴∭⊉15422=≴∭⊉124","layer":3},{"info":"≴∭⊉11614⩖⊿≴∭⊉16226=≴∭⊉130646","layer":3},{"info":"≴∭⊉124⫃⨇≴∭⊉130646=≴∭⊉-553630","layer":2},{"info":"≴∭⊉-1531≎⊠⪸≴∭⊉-553630=≴∭⊉124","layer":1},{"info":"≴∭⊉5332⩢≌=≴∭⊉221","layer":3},{"info":"≴∭⊉30226⇴∐≴∭⊉5356=NaN","layer":3},{"info":"≴∭⊉221⩣⫁∢NaN=NaN","layer":2},{"info":"≴∭⊉3121⨐⩸⫘≴∭⊉3333=NaN","layer":3},{"info":"≸≮NaN=NaN","layer":2},{"info":"NaN⪔NaN=NaN","layer":1},{"info":"≴∭⊉124↱NaN=NaN","layer":0}]}
+{"id":49,"expression_no_base_symbol":"(($1435$∲⫓$2723$)⇽⩪)∪⫐(⨰⫟⨤(⩎⋉$4395$))⪁(($2364$⪄$1510$)⋘⨑⨽)↞⋁(⊊≼∋(⫡⇟⇯$1414$))","expression":"((≴∭⊉4120∲⫓≴∭⊉10640)⇽⩪)∪⫐(⨰⫟⨤(⩎⋉≴∭⊉15546))⪁((≴∭⊉6615⪄≴∭⊉4255)⋘⨑⨽)↞⋁(⊊≼∋(⫡⇟⇯≴∭⊉4060))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1769472,"operation_count":11,"complexity_ratio":160861.0909090909,"tree":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"unary","operator":"⇽⩪","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1435,"base":7},"right_expr":{"type":"numeric_atoms","value":2723,"base":7}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"numeric_atoms","value":4395,"base":7}}}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"unary","operator":"⋘⨑⨽","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2364,"base":7},"right_expr":{"type":"numeric_atoms","value":1510,"base":7}}},"right_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"numeric_atoms","value":1414,"base":7}}}}},"used_operators":["I7sXao9hZE","7YooWSwCyH","FonBHBYJbU","i8ToyICDmI","Tw270M8GLb","FlXk3pOYe8","RqrPlJkxDo","WmT3o8z6ya","SUmda5xLS4","FWz7pXsQhA","qWUSsah53b"],"dependent_operators":["dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","rJVOvQCfKK","2DDjHMKMc0","W4YGzv6Whe","e1ybzncUwg","23Mk6UjR3U","tifHPKVTfV","g55IO6H4Gj","eewbuw0ToL","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","W4YGzv6Whe","DpFCA1CohY","N41Kp7NANJ","8w2t5hMYqp","QMFrweE19q","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","B5M0gjZbta","jCPkEVoL5K","DZ8iAZOCBD","P8v4zCKN1o"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1435","layer":4},{"info":"number node, value=2723","layer":4},{"info":"compute binary expreesion, left_input=1435, right_input=2723, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = FonBHBYJbU, unary_op_definition = 'a⇽⩪ = { (((≉88)⨰(⨑⩽⪐a))⨸⪁((a+95)⇼⇔∾(a⋷a))) }', output=-510","layer":2},{"info":"number node, value=4395","layer":4},{"info":"compute unary expreesion, input=4395, op_id = FlXk3pOYe8, unary_op_definition = '⩎⋉a = { (((a/a)∲⫓(≛a))∴((a⩨a)⨳⩥⨓(⊄⩳↩a))) , if (a⩇∃⫛268)<=24 or a==244 or (↩⪖a)>=4 ; (((a⨔⇊a)∠↢(↸⊣a))≚⊃≕((≦∁a)⨐461)) , else }', output=1650","layer":3},{"info":"compute unary expreesion, input=1650, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-510, right_input=nan, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=-510","layer":1},{"info":"number node, value=2364","layer":4},{"info":"number node, value=1510","layer":4},{"info":"compute binary expreesion, left_input=2364, right_input=1510, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-352001","layer":3},{"info":"compute unary expreesion, input=-352001, op_id = WmT3o8z6ya, unary_op_definition = 'a⋘⨑⨽ = { ((a⫡⨏a)+(a≋⫹)) , if (⊄⩳↩a)!=44 ; (⋗⩬⋾(394+a)) , else }', output=-1759222","layer":2},{"info":"number node, value=1414","layer":4},{"info":"compute unary expreesion, input=1414, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=3696","layer":3},{"info":"compute unary expreesion, input=3696, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=-1759222, right_input=-447, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=-1759222","layer":1},{"info":"compute binary expreesion, left_input=-510, right_input=-1759222, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉4120∲⫓≴∭⊉10640)⇽⩪)∪⫐(⨰⫟⨤(⩎⋉≴∭⊉15546))⪁((≴∭⊉6615⪄≴∭⊉4255)⋘⨑⨽)↞⋁(⊊≼∋(⫡⇟⇯≴∭⊉4060))=NaN","reverse_text":"NaN=((≴∭⊉4120∲⫓≴∭⊉10640)⇽⩪)∪⫐(⨰⫟⨤(⩎⋉≴∭⊉15546))⪁((≴∭⊉6615⪄≴∭⊉4255)⋘⨑⨽)↞⋁(⊊≼∋(⫡⇟⇯≴∭⊉4060))","cot":[{"info":"≴∭⊉4120∲⫓≴∭⊉10640=≴∭⊉0","layer":3},{"info":"≴∭⊉0⇽⩪=≴∭⊉-1326","layer":2},{"info":"⩎⋉≴∭⊉15546=≴∭⊉4545","layer":3},{"info":"⨰⫟⨤≴∭⊉4545=NaN","layer":2},{"info":"≴∭⊉-1326∪⫐NaN=≴∭⊉-1326","layer":1},{"info":"≴∭⊉6615⪄≴∭⊉4255=≴∭⊉-2664146","layer":3},{"info":"≴∭⊉-2664146⋘⨑⨽=≴∭⊉-20644633","layer":2},{"info":"⫡⇟⇯≴∭⊉4060=≴∭⊉13530","layer":3},{"info":"⊊≼∋≴∭⊉13530=≴∭⊉-1206","layer":2},{"info":"≴∭⊉-20644633↞⋁≴∭⊉-1206=≴∭⊉-20644633","layer":1},{"info":"≴∭⊉-1326⪁≴∭⊉-20644633=NaN","layer":0}]}
+{"id":50,"expression_no_base_symbol":"(↡($1046$⩵∡$2503$≬⋮($1616$↱$3211$)))∀⊥⇻","expression":"(↡(≴∭⊉3023⩵∡≴∭⊉10204≬⋮(≴∭⊉4466↱≴∭⊉12235)))∀⊥⇻","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":117,"operation_count":5,"complexity_ratio":23.4,"tree":{"type":"unary","operator":"∀⊥⇻","unary_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":1046,"base":7},"right_expr":{"type":"numeric_atoms","value":2503,"base":7}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":1616,"base":7},"right_expr":{"type":"numeric_atoms","value":3211,"base":7}}}}},"used_operators":["k4iM1060OG","MXaNJeIAZ3","kbkesczE7y","Y7wcNGrDQJ","SR5kFfdi6N"],"dependent_operators":["QvoQhV0rrE","XhwjNDsVaA","3Oe9XWJUTD","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","NTOWxs364D","glklzrTFfD","tifHPKVTfV","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1046","layer":4},{"info":"number node, value=2503","layer":4},{"info":"compute binary expreesion, left_input=1046, right_input=2503, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=290","layer":3},{"info":"number node, value=1616","layer":4},{"info":"number node, value=3211","layer":4},{"info":"compute binary expreesion, left_input=1616, right_input=3211, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-9111","layer":3},{"info":"compute binary expreesion, left_input=290, right_input=-9111, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":2},{"info":"compute unary expreesion, input=868, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=7812","layer":1},{"info":"compute unary expreesion, input=7812, op_id = k4iM1060OG, unary_op_definition = 'a∀⊥⇻ = { ((a∠⫱a)/(a⊝⪿⪼a)) }', output=0","layer":0}],"base":7,"result_base":7,"text":"(↡(≴∭⊉3023⩵∡≴∭⊉10204≬⋮(≴∭⊉4466↱≴∭⊉12235)))∀⊥⇻=≴∭⊉0","reverse_text":"≴∭⊉0=(↡(≴∭⊉3023⩵∡≴∭⊉10204≬⋮(≴∭⊉4466↱≴∭⊉12235)))∀⊥⇻","cot":[{"info":"≴∭⊉3023⩵∡≴∭⊉10204=≴∭⊉563","layer":3},{"info":"≴∭⊉4466↱≴∭⊉12235=≴∭⊉-35364","layer":3},{"info":"≴∭⊉563≬⋮≴∭⊉-35364=≴∭⊉2350","layer":2},{"info":"↡≴∭⊉2350=≴∭⊉31530","layer":1},{"info":"≴∭⊉31530∀⊥⇻=≴∭⊉0","layer":0}]}
+{"id":51,"expression_no_base_symbol":"(($1321$≝⊿$1828$⋓$5001$⪬$1378$)≀⫉(⊄⩳↩($5369$⊾⪯⋞$3045$)))∴(($1101$⩘$3754$∠⫱$5101$∥⊢⊲$4159$)⊝⪿⪼($4034$∑⇟⊟$1870$⫩⊇))","expression":"((≴∭⊉3565≝⊿≴∭⊉5221⋓≴∭⊉20403⪬≴∭⊉4006)≀⫉(⊄⩳↩(≴∭⊉21440⊾⪯⋞≴∭⊉11610)))∴((≴∭⊉3132⩘≴∭⊉13642∠⫱≴∭⊉20605∥⊢⊲≴∭⊉15061)⊝⪿⪼(≴∭⊉14522∑⇟⊟≴∭⊉5311⫩⊇))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":943,"operation_count":13,"complexity_ratio":72.53846153846153,"tree":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":1321,"base":7},"right_expr":{"type":"numeric_atoms","value":1828,"base":7}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":5001,"base":7},"right_expr":{"type":"numeric_atoms","value":1378,"base":7}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":5369,"base":7},"right_expr":{"type":"numeric_atoms","value":3045,"base":7}}}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":1101,"base":7},"right_expr":{"type":"numeric_atoms","value":3754,"base":7}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":5101,"base":7},"right_expr":{"type":"numeric_atoms","value":4159,"base":7}}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":4034,"base":7},"right_expr":{"type":"numeric_atoms","value":1870,"base":7}}}}},"used_operators":["hrf7POJlIJ","oZj3VtZNQx","T2fj7uvVaJ","OKKcZfAt5B","Ez1Nq5fNfI","8w2t5hMYqp","HK0tfVPux8","3Oe9XWJUTD","QvoQhV0rrE","cHh1gJQ2o6","v1UQAVDJRr","BjRHVeLaeN","U7g4x0WXJJ"],"dependent_operators":["g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","12rbrZMWeM","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","EBcxylXtPf","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"≴∭⊉30155","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1321","layer":4},{"info":"number node, value=1828","layer":4},{"info":"compute binary expreesion, left_input=1321, right_input=1828, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-5510","layer":3},{"info":"number node, value=5001","layer":4},{"info":"number node, value=1378","layer":4},{"info":"compute binary expreesion, left_input=5001, right_input=1378, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=-5510, right_input=1234, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"number node, value=5369","layer":4},{"info":"number node, value=3045","layer":4},{"info":"compute binary expreesion, left_input=5369, right_input=3045, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=5664","layer":3},{"info":"compute unary expreesion, input=5664, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-16992","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-16992, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":1},{"info":"number node, value=1101","layer":4},{"info":"number node, value=3754","layer":4},{"info":"compute binary expreesion, left_input=1101, right_input=3754, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"number node, value=5101","layer":4},{"info":"number node, value=4159","layer":4},{"info":"compute binary expreesion, left_input=5101, right_input=4159, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=nan","layer":2},{"info":"number node, value=4034","layer":4},{"info":"number node, value=1870","layer":4},{"info":"compute binary expreesion, left_input=4034, right_input=1870, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=2822, right_input=nan, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=7292","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉3565≝⊿≴∭⊉5221⋓≴∭⊉20403⪬≴∭⊉4006)≀⫉(⊄⩳↩(≴∭⊉21440⊾⪯⋞≴∭⊉11610)))∴((≴∭⊉3132⩘≴∭⊉13642∠⫱≴∭⊉20605∥⊢⊲≴∭⊉15061)⊝⪿⪼(≴∭⊉14522∑⇟⊟≴∭⊉5311⫩⊇))=≴∭⊉30155","reverse_text":"≴∭⊉30155=((≴∭⊉3565≝⊿≴∭⊉5221⋓≴∭⊉20403⪬≴∭⊉4006)≀⫉(⊄⩳↩(≴∭⊉21440⊾⪯⋞≴∭⊉11610)))∴((≴∭⊉3132⩘≴��⊉13642∠⫱≴∭⊉20605∥⊢⊲≴∭⊉15061)⊝⪿⪼(≴∭⊉14522∑⇟⊟≴∭⊉5311⫩⊇))","cot":[{"info":"≴∭⊉3565≝⊿≴∭⊉5221=≴∭⊉-22031","layer":3},{"info":"≴∭⊉20403⪬≴∭⊉4006=≴∭⊉3412","layer":3},{"info":"≴∭⊉-22031⋓≴∭⊉3412=≴∭⊉0","layer":2},{"info":"≴∭⊉21440⊾⪯⋞≴∭⊉11610=≴∭⊉22341","layer":3},{"info":"⊄⩳↩≴∭⊉22341=≴∭⊉-100353","layer":2},{"info":"≴∭⊉0≀⫉≴∭⊉-100353=≴∭⊉11141","layer":1},{"info":"≴∭⊉3132⩘≴∭⊉13642=≴∭⊉316","layer":3},{"info":"≴∭⊉20605∥⊢⊲≴∭⊉15061=NaN","layer":3},{"info":"≴∭⊉316∠⫱NaN=NaN","layer":2},{"info":"≴∭⊉14522∑⇟⊟≴∭⊉5311=NaN","layer":3},{"info":"NaN⫩⊇=NaN","layer":2},{"info":"NaN⊝⪿⪼NaN=NaN","layer":1},{"info":"≴∭⊉11141∴NaN=≴∭⊉30155","layer":0}]}
+{"id":52,"expression_no_base_symbol":"((↔($2431$⫔⩽⩺$2538$))⫦⪉($3051$⋹)⋅⇍$2357$⋾⨃∁$1962$)⨽($1008$⨵⪆$2059$∽(⊽$1131$))⊹∫⫚((⇋⊎⋝$2587$)≬⋮(∷≠$2140$))","expression":"((↔(≴∭⊉10042⫔⩽⩺≴∭⊉10254))⫦⪉(≴∭⊉11616⋹)⋅⇍≴∭⊉6605⋾⨃∁≴∭⊉5502)⨽(≴∭⊉2640⨵⪆≴∭⊉6001∽(⊽≴∭⊉3204))⊹∫⫚((⇋⊎⋝≴∭⊉10354)≬⋮(∷≠≴∭⊉6145))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":8892,"operation_count":14,"complexity_ratio":635.1428571428571,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":2431,"base":7},"right_expr":{"type":"numeric_atoms","value":2538,"base":7}}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"unary","operator":"⋹","unary_expr":{"type":"numeric_atoms","value":3051,"base":7}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":2357,"base":7},"right_expr":{"type":"numeric_atoms","value":1962,"base":7}}}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1008,"base":7},"right_expr":{"type":"numeric_atoms","value":2059,"base":7}},"right_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"numeric_atoms","value":1131,"base":7}}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"numeric_atoms","value":2587,"base":7}},"right_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"numeric_atoms","value":2140,"base":7}}}}},"used_operators":["8HhzD0ZcuI","wscyQdcy20","ruOEQAzv1W","i9eR4S00cU","AdZkA7nFnk","opAxDRczMr","212REbPD9h","uWAJUKEvyW","y4ImoPnbV5","2DQ55sFlQl","QxG7OkqoLX","kbkesczE7y","CzM2PEoXns","QiR2Oyf5Xj"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","Tw270M8GLb","fu6greOZ01","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","13rbtpv6ld","mp7IySMOzn","z63VuFQld9","aN9a90urxU","27wFxooxGf","SVb2v531z1","eewbuw0ToL","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","NTOWxs364D","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","dWAJyo7jo9","7j4O788W3g"],"result":"≴∭⊉-1152614145","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2431","layer":4},{"info":"number node, value=2538","layer":4},{"info":"compute binary expreesion, left_input=2431, right_input=2538, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":2},{"info":"number node, value=3051","layer":4},{"info":"compute unary expreesion, input=3051, op_id = opAxDRczMr, unary_op_definition = 'a⋹ = { ((⨴⫝a)⇷(a↤⩊a)) , if (a≃⋄)<20 or (⊢≑≆a)<=20 ; ((a⨰a)∧) , else }', output=-20","layer":3},{"info":"number node, value=2357","layer":4},{"info":"number node, value=1962","layer":4},{"info":"compute binary expreesion, left_input=2357, right_input=1962, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=38470802","layer":3},{"info":"compute binary expreesion, left_input=-20, right_input=38470802, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":2},{"info":"compute binary expreesion, left_input=-134, right_input=-22, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=4106","layer":1},{"info":"number node, value=1008","layer":4},{"info":"number node, value=2059","layer":4},{"info":"compute binary expreesion, left_input=1008, right_input=2059, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1131","layer":4},{"info":"compute unary expreesion, input=1131, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=3784","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=3784, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-11974","layer":2},{"info":"number node, value=2587","layer":4},{"info":"compute unary expreesion, input=2587, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":3},{"info":"number node, value=2140","layer":4},{"info":"compute unary expreesion, input=2140, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=2140","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2140, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":2},{"info":"compute binary expreesion, left_input=-11974, right_input=868, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-92","layer":1},{"info":"compute binary expreesion, left_input=4106, right_input=-92, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-50576118","layer":0}],"base":7,"result_base":7,"text":"((↔(≴∭⊉10042⫔⩽⩺≴∭⊉10254))⫦⪉(≴∭⊉11616⋹)⋅⇍≴∭⊉6605⋾⨃∁≴∭⊉5502)⨽(≴∭⊉2640⨵⪆≴∭⊉6001∽(⊽≴∭⊉3204))⊹∫⫚((⇋⊎⋝≴∭⊉10354)≬⋮(∷≠≴∭⊉6145))=≴∭⊉-1152614145","reverse_text":"≴∭⊉-1152614145=((↔(≴∭⊉10042⫔⩽⩺≴∭⊉10254))⫦⪉(≴∭⊉11616⋹)⋅⇍≴∭⊉6605⋾⨃∁≴∭⊉5502)⨽(≴∭⊉2640⨵⪆≴∭⊉6001∽(⊽≴∭⊉3204))⊹∫⫚((⇋⊎⋝≴∭⊉10354)≬⋮(∷≠≴∭⊉6145))","cot":[{"info":"≴∭⊉10042⫔⩽⩺≴∭⊉10254=NaN","layer":3},{"info":"↔NaN=≴∭⊉-251","layer":2},{"info":"≴∭⊉11616⋹=≴∭⊉-26","layer":3},{"info":"≴∭⊉6605⋾⨃∁≴∭⊉5502=≴∭⊉644665526","layer":3},{"info":"≴∭⊉-26⋅⇍≴∭⊉644665526=≴∭⊉-31","layer":2},{"info":"≴∭⊉-251⫦⪉≴∭⊉-31=≴∭⊉14654","layer":1},{"info":"≴∭⊉2640⨵⪆≴∭⊉6001=≴∭⊉316","layer":3},{"info":"⊽≴∭⊉3204=≴∭⊉14014","layer":3},{"info":"≴∭⊉316∽≴∭⊉14014=≴∭⊉-46624","layer":2},{"info":"⇋⊎⋝≴∭⊉10354=NaN","layer":3},{"info":"∷≠≴∭⊉6145=≴∭⊉6145","layer":3},{"info":"NaN≬⋮≴∭⊉6145=≴∭⊉2350","layer":2},{"info":"≴∭⊉-46624⊹∫⫚≴∭⊉2350=≴∭⊉-161","layer":1},{"info":"≴∭⊉14654⨽≴∭⊉-161=≴∭⊉-1152614145","layer":0}]}
+{"id":53,"expression_no_base_symbol":"((↨($1645$⊭↱$6759$))⫃⨇(⫇$2261$⇤$6103$))⋅⇍($1481$∋$1211$⊍⩺⋍(↥≼⋛$2098$))⫞⩸⩒(≸$3554$⫯⪬∳$4743$)","expression":"((↨(≴∭⊉4540⊭↱≴∭⊉25464))⫃⨇(⫇≴∭⊉6410⇤≴∭⊉23536))⋅⇍(≴∭⊉4214∋≴∭⊉3350⊍⩺⋍(↥≼⋛≴∭⊉6055))⫞⩸⩒(≸≴∭⊉13235⫯⪬∳≴∭⊉16554)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":612,"operation_count":12,"complexity_ratio":51.0,"tree":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1645,"base":7},"right_expr":{"type":"numeric_atoms","value":6759,"base":7}}},"right_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":2261,"base":7},"right_expr":{"type":"numeric_atoms","value":6103,"base":7}}}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":1481,"base":7},"right_expr":{"type":"numeric_atoms","value":1211,"base":7}},"right_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"numeric_atoms","value":2098,"base":7}}},"right_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":3554,"base":7},"right_expr":{"type":"numeric_atoms","value":4743,"base":7}}}}},"used_operators":["AdZkA7nFnk","09Ly4LVMIf","jiX4gk2v2Q","COABgblf1C","YjI8oCXuph","YSKBFp38Pu","XGcMNugi78","OXDGMFPWZM","ukq6epAj5P","x5lMkHmzsq","eOf03JbCpp","d7ASUq0ydm"],"dependent_operators":["g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","rGHVDoGpnC","oZj3VtZNQx","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1645","layer":4},{"info":"number node, value=6759","layer":4},{"info":"compute binary expreesion, left_input=1645, right_input=6759, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=10233","layer":3},{"info":"compute unary expreesion, input=10233, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":2},{"info":"number node, value=2261","layer":4},{"info":"number node, value=6103","layer":4},{"info":"compute binary expreesion, left_input=2261, right_input=6103, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-38972","layer":3},{"info":"compute unary expreesion, input=-38972, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-38026","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-38026, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=nan","layer":1},{"info":"number node, value=1481","layer":4},{"info":"number node, value=1211","layer":4},{"info":"compute binary expreesion, left_input=1481, right_input=1211, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=2532532","layer":3},{"info":"number node, value=2098","layer":4},{"info":"compute unary expreesion, input=2098, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-113","layer":3},{"info":"compute binary expreesion, left_input=2532532, right_input=-113, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":2},{"info":"number node, value=3554","layer":4},{"info":"number node, value=4743","layer":4},{"info":"compute binary expreesion, left_input=3554, right_input=4743, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=13060","layer":3},{"info":"compute unary expreesion, input=13060, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=58","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=58, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((↨(≴∭⊉4540⊭↱≴∭⊉25464))⫃⨇(⫇≴∭⊉6410⇤≴∭⊉23536))⋅⇍(≴∭⊉4214∋≴∭⊉3350⊍⩺⋍(↥≼⋛≴∭⊉6055))⫞⩸⩒(≸≴∭⊉13235⫯⪬∳≴∭⊉16554)=NaN","reverse_text":"NaN=((↨(≴∭⊉4540⊭↱≴∭⊉25464))⫃⨇(⫇≴∭⊉6410⇤≴∭⊉23536))⋅⇍(≴∭⊉4214∋≴∭⊉3350⊍⩺⋍(↥≼⋛≴∭⊉6055))⫞⩸⩒(≸≴∭⊉13235⫯⪬∳≴∭⊉16554)","cot":[{"info":"≴∭⊉4540⊭↱≴∭⊉25464=≴∭⊉41556","layer":3},{"info":"↨≴∭⊉41556=NaN","layer":2},{"info":"≴∭⊉6410⇤≴∭⊉23536=≴∭⊉-221423","layer":3},{"info":"⫇≴∭⊉-221423=≴∭⊉-215602","layer":2},{"info":"NaN⫃⨇≴∭⊉-215602=NaN","layer":1},{"info":"≴∭⊉4214∋≴∭⊉3350=≴∭⊉30345322","layer":3},{"info":"↥≼⋛≴∭⊉6055=≴∭⊉-221","layer":3},{"info":"≴∭⊉30345322⊍⩺⋍≴∭⊉-221=NaN","layer":2},{"info":"≴∭⊉13235⫯⪬∳≴∭⊉16554=≴∭⊉53035","layer":3},{"info":"≸≴∭⊉53035=≴∭⊉112","layer":2},{"info":"NaN⫞⩸⩒≴∭⊉112=NaN","layer":1},{"info":"NaN⋅⇍NaN=NaN","layer":0}]}
+{"id":54,"expression_no_base_symbol":"(⫟(↘$1095$)≁↽≥($3199$⫲≸⪮$3215$))⊉↱≁(��(($2055$⫃⨇$5189$)⨕⋳))","expression":"(⫟(↘≴∭⊉3123)≁↽≥(≴∭⊉12220⫲≸⪮≴∭⊉12242))⊉↱≁(⇈((≴∭⊉5664⫃⨇≴∭⊉21062)⨕⋳))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4406,"operation_count":8,"complexity_ratio":550.75,"tree":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"numeric_atoms","value":1095,"base":7}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":3199,"base":7},"right_expr":{"type":"numeric_atoms","value":3215,"base":7}}}},"right_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"unary","operator":"⨕⋳","unary_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":2055,"base":7},"right_expr":{"type":"numeric_atoms","value":5189,"base":7}}}}},"used_operators":["w2P8NbNXyL","z4E1FaHLuy","ncHt1X6cMc","LdNpr8hQHL","P3lXMJvFrc","SLLxy00UIr","4X4GscPmMf","09Ly4LVMIf"],"dependent_operators":["9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","oWn0xqSxBt","3Oe9XWJUTD","uFcxV4UQCh","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","9bazX3JMtO","nhYeJWJD5X","DbCuESL50I","3EYGwJThht","w2P8NbNXyL","uFcxV4UQCh","bJkvcejdHO","BUOGQAYlQx","cTDWOvIxvz","hrf7POJlIJ","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG"],"result":"≴∭⊉-3426456","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1095","layer":4},{"info":"compute unary expreesion, input=1095, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=311","layer":3},{"info":"number node, value=3199","layer":4},{"info":"number node, value=3215","layer":4},{"info":"compute binary expreesion, left_input=3199, right_input=3215, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=3199","layer":3},{"info":"compute binary expreesion, left_input=311, right_input=3199, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=14597","layer":2},{"info":"compute unary expreesion, input=14597, op_id = z4E1FaHLuy, unary_op_definition = '⫟a = { (((-a)⪨≂(a⨸⪁a))≧⫂∧((a⩷∴a)⨰(a⫡⨏a))) , if (a⫌⩹⨱)>=11 ; (((a+263)⋝⋈⪟(a⨳⩥⨓a))⪒((a⋥≓≎a)⫩⊇)) , else }', output=-42884","layer":1},{"info":"number node, value=2055","layer":4},{"info":"number node, value=5189","layer":4},{"info":"compute binary expreesion, left_input=2055, right_input=5189, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-20788","layer":3},{"info":"compute unary expreesion, input=-20788, op_id = 4X4GscPmMf, unary_op_definition = 'a⨕⋳ = { ((⋼∭⪍(a∴a))⊉↱≁(⋂(a↹⊜60))) , if (a∝72)!=68 ; (((a≎⊠⪸503)⇄(a∇⊂⋱a))⪛a) , else }', output=-2447734","layer":2},{"info":"compute unary expreesion, input=-2447734, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":1},{"info":"compute binary expreesion, left_input=-42884, right_input=-447, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-427272","layer":0}],"base":7,"result_base":7,"text":"(⫟(↘≴∭⊉3123)≁↽≥(≴∭⊉12220⫲≸⪮≴∭⊉12242))⊉↱≁(⇈((≴∭⊉5664⫃⨇≴∭⊉21062)⨕⋳))=≴∭⊉-3426456","reverse_text":"≴∭⊉-3426456=(⫟(↘≴∭⊉3123)≁↽≥(≴∭⊉12220⫲≸⪮≴∭⊉12242))⊉↱≁(⇈((≴∭⊉5664⫃⨇≴∭⊉21062)⨕⋳))","cot":[{"info":"↘≴∭⊉3123=≴∭⊉623","layer":3},{"info":"≴∭⊉12220⫲≸⪮≴∭⊉12242=≴∭⊉12220","layer":3},{"info":"≴∭⊉623≁↽≥≴∭⊉12220=≴∭⊉60362","layer":2},{"info":"⫟≴∭⊉60362=≴∭⊉-236012","layer":1},{"info":"≴∭⊉5664⫃⨇≴∭⊉21062=≴∭⊉-114415","layer":3},{"info":"≴∭⊉-114415⨕⋳=≴∭⊉-26543152","layer":2},{"info":"⇈≴∭⊉-26543152=≴∭⊉-1206","layer":1},{"info":"≴∭⊉-236012⊉↱≁≴∭⊉-1206=≴∭⊉-3426456","layer":0}]}
+{"id":55,"expression_no_base_symbol":"(($8138$⪛⫼$2347$)⪇≇⋚($1006$⋳⪒$1254$))∥⊢⊲((⇺⋃$4081$)⩘($2473$⊧↖))≥⨤⩑(↥≼⋛($1341$⪨⊡$5182$)⩖⊿($1479$≒∊$2154$))","expression":"((≴∭⊉32504⪛⫼≴∭⊉6562)⪇≇⋚(≴∭⊉2635⋳⪒≴∭⊉3441))∥⊢⊲((⇺⋃≴∭⊉14620)⩘(≴∭⊉10132⊧↖))≥⨤⩑(↥≼⋛(≴∭⊉3624⪨⊡≴∭⊉21052)⩖⊿(≴∭⊉4212≒∊≴∭⊉6165))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":5208,"operation_count":12,"complexity_ratio":434.0,"tree":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":8138,"base":7},"right_expr":{"type":"numeric_atoms","value":2347,"base":7}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1006,"base":7},"right_expr":{"type":"numeric_atoms","value":1254,"base":7}}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"numeric_atoms","value":4081,"base":7}},"right_expr":{"type":"unary","operator":"⊧↖","unary_expr":{"type":"numeric_atoms","value":2473,"base":7}}}},"right_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":1341,"base":7},"right_expr":{"type":"numeric_atoms","value":5182,"base":7}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":1479,"base":7},"right_expr":{"type":"numeric_atoms","value":2154,"base":7}}}}},"used_operators":["gJLn6v0xnP","v1UQAVDJRr","3sJ7IOPOlU","hyuBjUqXlG","12rbrZMWeM","cHh1gJQ2o6","E5v5B3UAjG","EKiFHuOFxO","x5lMkHmzsq","RZ5CV9rWsJ","kuIXHzHcAH","5KTvxBwnZo"],"dependent_operators":["mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","EBcxylXtPf","rGHVDoGpnC","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","rysDP5nf3Z","t8gj7n24qd","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","5twsqlHp2o","dfKe02y8D2","8HhzD0ZcuI","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=8138","layer":4},{"info":"number node, value=2347","layer":4},{"info":"compute binary expreesion, left_input=8138, right_input=2347, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":3},{"info":"number node, value=1006","layer":4},{"info":"number node, value=1254","layer":4},{"info":"compute binary expreesion, left_input=1006, right_input=1254, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=471","layer":3},{"info":"compute binary expreesion, left_input=968, right_input=471, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":2},{"info":"number node, value=4081","layer":4},{"info":"compute unary expreesion, input=4081, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":3},{"info":"number node, value=2473","layer":4},{"info":"compute unary expreesion, input=2473, op_id = EKiFHuOFxO, unary_op_definition = 'a⊧↖ = { ((a⨽a)⊢(a⫚↹⊑79)) }', output=36706340","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=36706340, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=160, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=0","layer":1},{"info":"number node, value=1341","layer":4},{"info":"number node, value=5182","layer":4},{"info":"compute binary expreesion, left_input=1341, right_input=5182, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=1479","layer":4},{"info":"number node, value=2154","layer":4},{"info":"compute binary expreesion, left_input=1479, right_input=2154, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-995","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-995, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=3904","layer":2},{"info":"compute unary expreesion, input=3904, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-113","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-113, op_id = gJLn6v0xnP binary_op_definition= 'a≥���⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=0","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉32504⪛⫼≴∭⊉6562)⪇≇⋚(≴∭⊉2635⋳⪒≴∭⊉3441))∥⊢⊲((⇺⋃≴∭⊉14620)⩘(≴∭⊉10132⊧↖))≥⨤⩑(↥≼⋛(≴∭⊉3624⪨⊡≴∭⊉21052)⩖⊿(≴∭⊉4212≒∊≴∭⊉6165))=≴∭⊉0","reverse_text":"≴∭⊉0=((≴∭⊉32504⪛⫼≴∭⊉6562)⪇≇⋚(≴∭⊉2635⋳⪒≴∭⊉3441))∥⊢⊲((⇺⋃≴∭⊉14620)⩘(≴∭⊉10132⊧↖))≥⨤⩑(↥≼⋛(≴∭⊉3624⪨⊡≴∭⊉21052)⩖⊿(≴∭⊉4212≒∊≴∭⊉6165))","cot":[{"info":"≴∭⊉32504⪛⫼≴∭⊉6562=≴∭⊉2552","layer":3},{"info":"≴∭⊉2635⋳⪒≴∭⊉3441=≴∭⊉1242","layer":3},{"info":"≴∭⊉2552⪇≇⋚≴∭⊉1242=≴∭⊉0","layer":2},{"info":"⇺⋃≴∭⊉14620=NaN","layer":3},{"info":"≴∭⊉10132⊧↖=≴∭⊉623666366","layer":3},{"info":"NaN⩘≴∭⊉623666366=≴∭⊉316","layer":2},{"info":"≴∭⊉0∥⊢⊲≴∭⊉316=≴∭⊉0","layer":1},{"info":"≴∭⊉3624⪨⊡≴∭⊉21052=≴∭⊉0","layer":3},{"info":"≴∭⊉4212≒∊≴∭⊉6165=≴∭⊉-2621","layer":3},{"info":"≴∭⊉0⩖⊿≴∭⊉-2621=≴∭⊉14245","layer":2},{"info":"↥≼⋛≴∭⊉14245=≴∭⊉-221","layer":1},{"info":"≴∭⊉0≥⨤⩑≴∭⊉-221=≴∭⊉0","layer":0}]}
+{"id":56,"expression_no_base_symbol":"((∡$1919$)↱$1153$⨽$2498$)⪬($3130$⨪↰⇹$1249$-($6301$⪊≅))⨸((∂⩏⊆$1435$≥⨤⩑$1155$)⊊)","expression":"((∡≴∭⊉5411)↱≴∭⊉3235⨽≴∭⊉10166)⪬(≴∭⊉12061⨪↰⇹≴∭⊉3433-(≴∭⊉24241⪊≅))⨸((∂⩏⊆≴∭⊉4120≥⨤⩑≴∭⊉3240)⊊)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":6547,"operation_count":11,"complexity_ratio":595.1818181818181,"tree":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"↱","left_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"numeric_atoms","value":1919,"base":7}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1153,"base":7},"right_expr":{"type":"numeric_atoms","value":2498,"base":7}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3130,"base":7},"right_expr":{"type":"numeric_atoms","value":1249,"base":7}},"right_expr":{"type":"unary","operator":"⪊≅","unary_expr":{"type":"numeric_atoms","value":6301,"base":7}}}},"right_expr":{"type":"unary","operator":"⊊","unary_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":1435,"base":7},"right_expr":{"type":"numeric_atoms","value":1155,"base":7}}}}},"used_operators":["KmoU8R5UQR","Ez1Nq5fNfI","SR5kFfdi6N","pRsWfj4Fpp","8HhzD0ZcuI","rysDP5nf3Z","tmPS8pqC7x","bjFbhXSADs","W9R8I5fN5A","8WDwsbhb0R","gJLn6v0xnP"],"dependent_operators":["ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rJVOvQCfKK","COABgblf1C","JLbD19bQDL","nCS4ZIUYfx","DlLNRPXxWL","aBQ6xLxuTc","8n5YIzOsVS","oZj3VtZNQx","MahUMFw56D","hyuBjUqXlG","aA7tF3KVD3","2DDjHMKMc0","QMFrweE19q","SxTAKzQCrw","8cLx32lpNA","14qkJME0vr","eLAdDNolq6","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE"],"result":"≴∭⊉10124","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1919","layer":4},{"info":"compute unary expreesion, input=1919, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=-1919","layer":3},{"info":"number node, value=1153","layer":4},{"info":"number node, value=2498","layer":4},{"info":"compute binary expreesion, left_input=1153, right_input=2498, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-3994407","layer":3},{"info":"compute binary expreesion, left_input=-1919, right_input=-3994407, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-31939944","layer":2},{"info":"number node, value=3130","layer":4},{"info":"number node, value=1249","layer":4},{"info":"compute binary expreesion, left_input=3130, right_input=1249, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=3130","layer":3},{"info":"number node, value=6301","layer":4},{"info":"compute unary expreesion, input=6301, op_id = bjFbhXSADs, unary_op_definition = 'a⪊≅ = { (377⪠⩆⊳) , if (a⊭↱876)>=867 ; (a⨳⩥⨓a) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=3130, right_input=0, op_id = rysDP5nf3Z binary_op_definition= 'None', output=3130","layer":2},{"info":"compute binary expreesion, left_input=-31939944, right_input=3130, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":1},{"info":"number node, value=1435","layer":4},{"info":"number node, value=1155","layer":4},{"info":"compute binary expreesion, left_input=1435, right_input=1155, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-3781","layer":2},{"info":"compute unary expreesion, input=-3781, op_id = W9R8I5fN5A, unary_op_definition = 'a⊊ = { (((⫛⫱⨽a)∙⊟a)∌((a⇂≾⫗536)⋝⋈⪟(a⫡⨏a))) , if ((a≚⋢)==7 or (a⪘⨀)==15) ; ((a≀⫉(6⪛⫼a))⫠↝⫳) , else }', output=90927","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=90927, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=2468","layer":0}],"base":7,"result_base":7,"text":"((∡≴∭⊉5411)↱≴∭⊉3235⨽≴∭⊉10166)⪬(≴∭⊉12061⨪↰⇹≴∭⊉3433-(≴∭⊉24241⪊≅))⨸((∂⩏⊆≴∭⊉4120≥⨤⩑≴∭⊉3240)⊊)=≴∭⊉10124","reverse_text":"≴∭⊉10124=((∡≴∭⊉5411)↱≴∭⊉3235⨽≴∭⊉10166)⪬(≴∭⊉12061⨪↰⇹≴∭⊉3433-(≴∭⊉24241⪊≅))⨸((∂⩏⊆≴∭⊉4120≥⨤⩑≴∭⊉3240)⊊)","cot":[{"info":"∡≴∭⊉5411=≴∭⊉-5411","layer":3},{"info":"≴∭⊉3235⨽≴∭⊉10166=≴∭⊉-45644334","layer":3},{"info":"≴∭⊉-5411↱≴∭⊉-45644334=≴∭⊉-535325241","layer":2},{"info":"≴∭⊉12061⨪↰⇹≴∭⊉3433=≴∭⊉12061","layer":3},{"info":"≴∭⊉24241⪊≅=≴∭⊉0","layer":3},{"info":"≴∭⊉12061-≴∭⊉0=≴∭⊉12061","layer":2},{"info":"≴∭⊉-535325241⪬≴∭⊉12061=≴∭⊉3412","layer":1},{"info":"≴∭⊉4120≥⨤⩑≴∭⊉3240=≴∭⊉3412","layer":3},{"info":"∂⩏⊆≴∭⊉3412=≴∭⊉-14011","layer":2},{"info":"≴∭⊉-14011⊊=≴∭⊉526044","layer":1},{"info":"≴∭⊉3412⨸≴∭⊉526044=≴∭⊉10124","layer":0}]}
+{"id":57,"expression_no_base_symbol":"((⪹$1358$)⨪↰⇹$4343$↼⊘⨖$1793$)⫒⫫(≀↧⇸$2716$⪝$2904$)∠⫱((↯⪼$2288$)⫡⨏$3053$∋$1500$⫡⨏($7323$≝⊰⇂)⨼⩣$5475$⪟⇏$6811$)","expression":"((⪹≴∭⊉3650)⨪↰⇹≴∭⊉15443↼⊘⨖≴∭⊉5141)⫒⫫(≀↧⇸≴∭⊉10630⪝≴∭⊉11316)∠⫱((↯⪼≴∭⊉6446)⫡⨏≴∭⊉11621∋≴∭⊉4242⫡⨏(≴∭⊉30231≝⊰⇂)⨼⩣≴∭⊉21651⪟⇏≴∭⊉25600)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3580,"operation_count":14,"complexity_ratio":255.71428571428572,"tree":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":1358,"base":7}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":4343,"base":7},"right_expr":{"type":"numeric_atoms","value":1793,"base":7}}},"right_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":2716,"base":7},"right_expr":{"type":"numeric_atoms","value":2904,"base":7}}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":2288,"base":7}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":3053,"base":7},"right_expr":{"type":"numeric_atoms","value":1500,"base":7}}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"unary","operator":"≝⊰⇂","unary_expr":{"type":"numeric_atoms","value":7323,"base":7}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":5475,"base":7},"right_expr":{"type":"numeric_atoms","value":6811,"base":7}}}}},"used_operators":["QvoQhV0rrE","6Ko8hGgeMq","tmPS8pqC7x","USyYr0JgAa","bPywburJMS","ljTHtUsqzn","wicAB68Tmb","QMFrweE19q","8jW3W4yZS5","ukq6epAj5P","JxwMv5le6e","htSmYCowi5","GODebY97qR"],"dependent_operators":["eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","rJVOvQCfKK","tifHPKVTfV","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","XPYlsWDdGa","23Mk6UjR3U","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","9FxExcQeMw","DlLNRPXxWL","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1358","layer":4},{"info":"compute unary expreesion, input=1358, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=-1178","layer":3},{"info":"number node, value=4343","layer":4},{"info":"number node, value=1793","layer":4},{"info":"compute binary expreesion, left_input=4343, right_input=1793, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=3364","layer":3},{"info":"compute binary expreesion, left_input=-1178, right_input=3364, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=-1178","layer":2},{"info":"number node, value=2716","layer":4},{"info":"number node, value=2904","layer":4},{"info":"compute binary expreesion, left_input=2716, right_input=2904, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":3},{"info":"compute unary expreesion, input=237, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=-948","layer":2},{"info":"compute binary expreesion, left_input=-1178, right_input=-948, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=7822","layer":1},{"info":"number node, value=2288","layer":4},{"info":"compute unary expreesion, input=2288, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"number node, value=3053","layer":4},{"info":"number node, value=1500","layer":4},{"info":"compute binary expreesion, left_input=3053, right_input=1500, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=3213084","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=3213084, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=6426846","layer":2},{"info":"number node, value=7323","layer":4},{"info":"compute unary expreesion, input=7323, op_id = htSmYCowi5, unary_op_definition = 'a≝⊰⇂ = { (a⩷∴51) , if a<491 ; (⫛⫱⨽a) , else }', output=0","layer":3},{"info":"number node, value=5475","layer":4},{"info":"number node, value=6811","layer":4},{"info":"compute binary expreesion, left_input=5475, right_input=6811, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-1, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=6426846, right_input=nan, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=7822, right_input=nan, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((⪹≴∭⊉3650)⨪↰⇹≴∭⊉15443↼⊘⨖≴∭⊉5141)⫒⫫(≀↧⇸≴∭⊉10630⪝≴∭⊉11316)∠⫱((↯⪼≴∭⊉6446)⫡⨏≴∭⊉11621∋≴∭⊉4242⫡⨏(≴∭⊉30231≝⊰⇂)⨼⩣≴∭⊉21651⪟⇏≴∭⊉25600)=NaN","reverse_text":"NaN=((⪹≴∭⊉3650)⨪↰⇹≴∭⊉15443↼⊘⨖≴∭⊉5141)⫒⫫(≀↧⇸≴∭⊉10630⪝≴∭⊉11316)∠⫱((↯⪼≴∭⊉6446)⫡⨏≴∭⊉11621∋≴∭⊉4242⫡⨏(≴∭⊉30231≝⊰⇂)⨼⩣≴∭⊉21651⪟⇏≴∭⊉25600)","cot":[{"info":"⪹≴∭⊉3650=≴∭⊉-3302","layer":3},{"info":"≴∭⊉15443↼⊘⨖≴∭⊉5141=≴∭⊉12544","layer":3},{"info":"≴∭⊉-3302⨪↰⇹≴∭⊉12544=≴∭⊉-3302","layer":2},{"info":"≴∭⊉10630⪝≴∭⊉11316=≴∭⊉456","layer":3},{"info":"≀↧⇸≴∭⊉456=≴∭⊉-2523","layer":2},{"info":"≴∭⊉-3302⫒⫫≴∭⊉-2523=≴∭⊉31543","layer":1},{"info":"↯⪼≴∭⊉6446=≴∭⊉-30","layer":3},{"info":"≴∭⊉11621∋≴∭⊉4242=≴∭⊉36211410","layer":3},{"info":"≴∭⊉-30⫡⨏≴∭⊉36211410=≴∭⊉105425106","layer":2},{"info":"≴∭⊉30231≝⊰⇂=≴∭⊉0","layer":3},{"info":"≴∭⊉21651⪟⇏≴∭⊉25600=≴∭⊉-1","layer":3},{"info":"≴∭⊉0⨼⩣≴∭⊉-1=NaN","layer":2},{"info":"≴∭⊉105425106⫡⨏NaN=NaN","layer":1},{"info":"≴∭⊉31543∠⫱NaN=NaN","layer":0}]}
+{"id":58,"expression_no_base_symbol":"(⇤←$1355$)≹⇙⪍(∨∊⋏$3852$)⊴(($2905$⋳⪒$1032$)⫲≸⪮($2442$⇼⇔∾$4026$))⩘($1198$⪃⊛⇣$2505$⩚⊴⇥$2040$⪝$1491$)⇍⊗(($1034$⫢⨠$6218$)⨪↰⇹($1067$∪⫐$8396$))","expression":"(⇤←≴∭⊉3644)≹⇙⪍(∨∊⋏≴∭⊉14142)⊴((≴∭⊉11320⋳⪒≴∭⊉3003)⫲≸⪮(≴∭⊉10056⇼⇔∾≴∭⊉14511))⩘(≴∭⊉3331⪃⊛⇣≴∭⊉10206⩚⊴⇥≴∭⊉5643⪝≴∭⊉4230)⇍⊗((≴∭⊉3005⫢⨠≴∭⊉24062)⨪↰⇹(≴∭⊉3053∪⫐≴∭⊉33323))","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":10867,"operation_count":15,"complexity_ratio":724.4666666666667,"tree":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"numeric_atoms","value":1355,"base":7}},"right_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"numeric_atoms","value":3852,"base":7}}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2905,"base":7},"right_expr":{"type":"numeric_atoms","value":1032,"base":7}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2442,"base":7},"right_expr":{"type":"numeric_atoms","value":4026,"base":7}}}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":1198,"base":7},"right_expr":{"type":"numeric_atoms","value":2505,"base":7}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":2040,"base":7},"right_expr":{"type":"numeric_atoms","value":1491,"base":7}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":1034,"base":7},"right_expr":{"type":"numeric_atoms","value":6218,"base":7}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":1067,"base":7},"right_expr":{"type":"numeric_atoms","value":8396,"base":7}}}}},"used_operators":["cHh1gJQ2o6","Nsiff2A1zJ","AHs5Up7iyr","jfAgQ2OQeM","R5aXW34M0v","P3lXMJvFrc","12rbrZMWeM","tifHPKVTfV","5uvYHDjeKN","NTOWxs364D","rrgAzCduG9","wicAB68Tmb","tmPS8pqC7x","xlXykHWxX1","7YooWSwCyH"],"dependent_operators":["23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","dWAJyo7jo9","14qkJME0vr","dWAJyo7jo9","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","rJVOvQCfKK","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","rJVOvQCfKK","2DDjHMKMc0"],"result":"≴∭⊉316","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1355","layer":4},{"info":"compute unary expreesion, input=1355, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=-5409","layer":3},{"info":"number node, value=3852","layer":4},{"info":"compute unary expreesion, input=3852, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=79247","layer":3},{"info":"compute binary expreesion, left_input=-5409, right_input=79247, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=2905","layer":4},{"info":"number node, value=1032","layer":4},{"info":"compute binary expreesion, left_input=2905, right_input=1032, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=4491","layer":3},{"info":"number node, value=2442","layer":4},{"info":"number node, value=4026","layer":4},{"info":"compute binary expreesion, left_input=2442, right_input=4026, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1584","layer":3},{"info":"compute binary expreesion, left_input=4491, right_input=1584, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=4491","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=4491, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=1198","layer":4},{"info":"number node, value=2505","layer":4},{"info":"compute binary expreesion, left_input=1198, right_input=2505, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"number node, value=2040","layer":4},{"info":"number node, value=1491","layer":4},{"info":"compute binary expreesion, left_input=2040, right_input=1491, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-2595","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=-2595, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=1240","layer":2},{"info":"number node, value=1034","layer":4},{"info":"number node, value=6218","layer":4},{"info":"compute binary expreesion, left_input=1034, right_input=6218, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"number node, value=1067","layer":4},{"info":"number node, value=8396","layer":4},{"info":"compute binary expreesion, left_input=1067, right_input=8396, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=1067","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=1067, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=160","layer":2},{"info":"compute binary expreesion, left_input=1240, right_input=160, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-244, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":0}],"base":7,"result_base":7,"text":"(⇤←≴∭⊉3644)≹⇙⪍(∨∊⋏≴∭⊉14142)⊴((≴∭⊉11320⋳⪒≴∭⊉3003)⫲≸⪮(≴∭⊉10056⇼⇔∾≴∭⊉14511))⩘(≴∭⊉3331⪃⊛⇣≴∭⊉10206⩚⊴⇥≴∭⊉5643⪝≴∭⊉4230)⇍⊗((≴∭⊉3005⫢⨠≴∭⊉24062)⨪↰⇹(≴∭⊉3053∪⫐≴∭⊉33323))=≴∭⊉316","reverse_text":"≴∭⊉316=(⇤←≴∭⊉3644)≹⇙⪍(∨∊⋏≴∭⊉14142)⊴((≴∭⊉11320⋳⪒≴∭⊉3003)⫲≸⪮(≴∭⊉10056⇼⇔∾≴∭⊉14511))⩘(≴∭⊉3331⪃⊛⇣≴∭⊉10206⩚⊴⇥≴∭⊉5643⪝≴∭⊉4230)⇍⊗((≴∭⊉3005⫢⨠≴∭⊉24062)⨪↰⇹(≴∭⊉3053∪⫐≴∭⊉33323))","cot":[{"info":"⇤←≴∭⊉3644=≴∭⊉-21525","layer":3},{"info":"∨∊⋏≴∭⊉14142=≴∭⊉450020","layer":3},{"info":"≴∭⊉-21525≹⇙⪍≴∭⊉450020=NaN","layer":2},{"info":"≴∭⊉11320⋳⪒≴∭⊉3003=≴∭⊉16044","layer":3},{"info":"≴∭⊉10056⇼⇔∾≴∭⊉14511=≴∭⊉4422","layer":3},{"info":"≴∭⊉16044⫲≸⪮≴∭⊉4422=≴∭⊉16044","layer":2},{"info":"NaN⊴≴∭⊉16044=NaN","layer":1},{"info":"≴∭⊉3331⪃⊛⇣≴∭⊉10206=≴∭⊉3412","layer":3},{"info":"≴∭⊉5643⪝≴∭⊉4230=≴∭⊉-10365","layer":3},{"info":"≴∭⊉3412⩚⊴⇥≴∭⊉-10365=≴∭⊉3421","layer":2},{"info":"≴∭⊉3005⫢⨠≴∭⊉24062=≴∭⊉316","layer":3},{"info":"≴∭⊉3053∪⫐≴∭⊉33323=≴∭⊉3053","layer":3},{"info":"≴∭⊉316⨪↰⇹≴∭⊉3053=≴∭⊉316","layer":2},{"info":"≴∭⊉3421⇍⊗≴∭⊉316=≴∭⊉-466","layer":1},{"info":"NaN⩘≴∭⊉-466=≴∭⊉316","layer":0}]}
+{"id":59,"expression_no_base_symbol":"(($1015$↙$1058$)⪔⊥(⪛⨧$2992$)∠⫱($4276$∝$4502$)⊋≦⊧(≇⪴$2830$))⊬⨰(⊥($3218$⫢⨠$1211$)⋛(⨂⪏⇭$1851$))","expression":"((≴∭⊉2650↙≴∭⊉3041)⪔⊥(⪛⨧≴∭⊉11503)∠⫱(≴∭⊉15316∝≴∭⊉16061)⊋≦⊧(≇⪴≴∭⊉11152))⊬⨰(⊥(≴∭⊉12245⫢⨠≴∭⊉3350)⋛(⨂⪏⇭≴∭⊉5253))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1489,"operation_count":12,"complexity_ratio":124.08333333333333,"tree":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1015,"base":7},"right_expr":{"type":"numeric_atoms","value":1058,"base":7}},"right_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"numeric_atoms","value":2992,"base":7}}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":4276,"base":7},"right_expr":{"type":"numeric_atoms","value":4502,"base":7}},"right_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"numeric_atoms","value":2830,"base":7}}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":3218,"base":7},"right_expr":{"type":"numeric_atoms","value":1211,"base":7}},"right_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"numeric_atoms","value":1851,"base":7}}}}},"used_operators":["s3Fd5m9Dh2","QvoQhV0rrE","HJ9erzHUuu","yyfyN0ffXY","6NJAcO2OWT","oRDoc9rAEX","cTDWOvIxvz","zoVPnxeHJ3","Q3PJZHRvZv","YbUVn0Rbpy","xlXykHWxX1","AYdpE9sXAk"],"dependent_operators":["23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","tmPS8pqC7x","DpFCA1CohY","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","7j4O788W3g","W4YGzv6Whe","COABgblf1C","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","fu6greOZ01","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","eewbuw0ToL","NTOWxs364D","EBcxylXtPf"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1015","layer":4},{"info":"number node, value=1058","layer":4},{"info":"compute binary expreesion, left_input=1015, right_input=1058, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3174","layer":3},{"info":"number node, value=2992","layer":4},{"info":"compute unary expreesion, input=2992, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=7385","layer":3},{"info":"compute binary expreesion, left_input=-3174, right_input=7385, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=-27665","layer":2},{"info":"number node, value=4276","layer":4},{"info":"number node, value=4502","layer":4},{"info":"compute binary expreesion, left_input=4276, right_input=4502, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=4281","layer":3},{"info":"number node, value=2830","layer":4},{"info":"compute unary expreesion, input=2830, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-7150","layer":3},{"info":"compute binary expreesion, left_input=4281, right_input=-7150, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=14540","layer":2},{"info":"compute binary expreesion, left_input=-27665, right_input=14540, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":1},{"info":"number node, value=3218","layer":4},{"info":"number node, value=1211","layer":4},{"info":"compute binary expreesion, left_input=3218, right_input=1211, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"number node, value=1851","layer":4},{"info":"compute unary expreesion, input=1851, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=4574","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=4574, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-124674","layer":2},{"info":"compute unary expreesion, input=-124674, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=nan, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉2650↙≴∭⊉3041)⪔⊥(⪛⨧≴∭⊉11503)∠⫱(≴∭⊉15316∝≴∭⊉16061)⊋≦⊧(≇⪴≴∭⊉11152))⊬⨰(⊥(≴∭⊉12245⫢⨠≴∭⊉3350)⋛(⨂⪏⇭≴∭⊉5253))=NaN","reverse_text":"NaN=((≴∭⊉2650↙≴∭⊉3041)⪔⊥(⪛⨧≴∭⊉11503)∠⫱(≴∭⊉15316∝≴∭⊉16061)⊋≦⊧(≇⪴≴∭⊉11152))⊬⨰(⊥(≴∭⊉12245⫢⨠≴∭⊉3350)⋛(⨂⪏⇭≴∭⊉5253))","cot":[{"info":"≴∭⊉2650↙≴∭⊉3041=≴∭⊉-12153","layer":3},{"info":"⪛⨧≴∭⊉11503=≴∭⊉30350","layer":3},{"info":"≴∭⊉-12153⪔⊥≴∭⊉30350=≴∭⊉-143441","layer":2},{"info":"≴∭⊉15316∝≴∭⊉16061=≴∭⊉15324","layer":3},{"info":"≇⪴≴∭⊉11152=≴∭⊉-26563","layer":3},{"info":"≴∭⊉15324⊋≦⊧≴∭⊉-26563=≴∭⊉60251","layer":2},{"info":"≴∭⊉-143441∠⫱≴∭⊉60251=≴∭⊉3412","layer":1},{"info":"���∭⊉12245⫢⨠≴∭⊉3350=≴∭⊉316","layer":3},{"info":"⨂⪏⇭≴∭⊉5253=≴∭⊉16223","layer":3},{"info":"≴∭⊉316⋛≴∭⊉16223=≴∭⊉-1026324","layer":2},{"info":"⊥≴∭⊉-1026324=NaN","layer":1},{"info":"≴∭⊉3412⊬⨰NaN=NaN","layer":0}]}
+{"id":60,"expression_no_base_symbol":"(≀↧⇸($1113$⪬$1120$⋷$1824$≧⫂∧$1231$))⩟","expression":"(≀↧⇸(≴∭⊉3150⪬≴∭⊉3160⋷≴∭⊉5214≧⫂∧≴∭⊉3406))⩟","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":592,"operation_count":5,"complexity_ratio":118.4,"tree":{"type":"unary","operator":"⩟","unary_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":1113,"base":7},"right_expr":{"type":"numeric_atoms","value":1120,"base":7}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1824,"base":7},"right_expr":{"type":"numeric_atoms","value":1231,"base":7}}}}},"used_operators":["fOIeswaMU4","ljTHtUsqzn","23Mk6UjR3U","Ez1Nq5fNfI","Ph9nP6C5qx"],"dependent_operators":["W4YGzv6Whe","Qy55tPpLXF","8w2t5hMYqp","12rbrZMWeM","XPYlsWDdGa","23Mk6UjR3U","W4YGzv6Whe","t8gj7n24qd","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","rysDP5nf3Z","t8gj7n24qd"],"result":"≴∭⊉45114","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1113","layer":4},{"info":"number node, value=1120","layer":4},{"info":"compute binary expreesion, left_input=1113, right_input=1120, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"number node, value=1824","layer":4},{"info":"number node, value=1231","layer":4},{"info":"compute binary expreesion, left_input=1824, right_input=1231, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=758","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=758, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=282","layer":2},{"info":"compute unary expreesion, input=282, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=-1128","layer":1},{"info":"compute unary expreesion, input=-1128, op_id = fOIeswaMU4, unary_op_definition = 'a⩟ = { (⊄⩳↩((a⋳⪒a)+(155⋥≓≎a))) }', output=11379","layer":0}],"base":7,"result_base":7,"text":"(≀↧⇸(≴∭⊉3150⪬≴∭⊉3160⋷≴∭⊉5214≧⫂∧≴∭⊉3406))⩟=≴∭⊉45114","reverse_text":"≴∭⊉45114=(≀↧⇸(≴∭⊉3150⪬≴∭⊉3160⋷≴∭⊉5214≧⫂∧≴∭⊉3406))⩟","cot":[{"info":"≴∭⊉3150⪬≴∭⊉3160=≴∭⊉3412","layer":3},{"info":"≴∭⊉5214≧⫂∧≴∭⊉3406=≴∭⊉2132","layer":3},{"info":"≴∭⊉3412⋷≴∭⊉2132=≴∭⊉552","layer":2},{"info":"≀↧⇸≴∭⊉552=≴∭⊉-3201","layer":1},{"info":"≴∭⊉-3201⩟=≴∭⊉45114","layer":0}]}
+{"id":61,"expression_no_base_symbol":"(⇖⫷⫕(($2543$⪗)⫃⨇(⨛$8144$)))%(($8301$⊍)≚⊃≕($4006$⨚⇆$9444$))⪎↠(⊖($1018$⊍))","expression":"(⇖⫷⫕((≴∭⊉10262⪗)⫃⨇(⨛≴∭⊉32513)))%((≴∭⊉33126⊍)≚⊃≕(≴∭⊉14452⨚⇆≴∭⊉36351))⪎↠(⊖(≴∭⊉2653⊍))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":31476,"operation_count":11,"complexity_ratio":2861.4545454545455,"tree":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"unary","operator":"⪗","unary_expr":{"type":"numeric_atoms","value":2543,"base":7}},"right_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"numeric_atoms","value":8144,"base":7}}}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"unary","operator":"⊍","unary_expr":{"type":"numeric_atoms","value":8301,"base":7}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":4006,"base":7},"right_expr":{"type":"numeric_atoms","value":9444,"base":7}}},"right_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"unary","operator":"⊍","unary_expr":{"type":"numeric_atoms","value":1018,"base":7}}}}},"used_operators":["k8jYdgA6NY","UHmRx3INFg","09Ly4LVMIf","VEQNXA0ZBg","CoMdbyAt7R","3tVxb0NHM4","Bmrmz2XGnR","3nqY3DE9mg","lwHaAYXP2r","U6pG0PXrV3"],"dependent_operators":["rysDP5nf3Z","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","dWAJyo7jo9","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","8w2t5hMYqp","AF7qkfDlqP","12rbrZMWeM","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx"],"result":"≴∭⊉-53","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2543","layer":4},{"info":"compute unary expreesion, input=2543, op_id = VEQNXA0ZBg, unary_op_definition = 'a⪗ = { (a⪢a) }', output=nan","layer":3},{"info":"number node, value=8144","layer":4},{"info":"compute unary expreesion, input=8144, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":1},{"info":"number node, value=8301","layer":4},{"info":"compute unary expreesion, input=8301, op_id = 3nqY3DE9mg, unary_op_definition = 'a⊍ = { (⊄⩳↩(⨑⩽⪐(a⋳⪒a))) }', output=23223","layer":3},{"info":"number node, value=4006","layer":4},{"info":"number node, value=9444","layer":4},{"info":"compute binary expreesion, left_input=4006, right_input=9444, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=23223, right_input=nan, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=-96286","layer":2},{"info":"number node, value=1018","layer":4},{"info":"compute unary expreesion, input=1018, op_id = 3nqY3DE9mg, unary_op_definition = 'a⊍ = { (⊄⩳↩(⨑⩽⪐(a⋳⪒a))) }', output=1374","layer":3},{"info":"compute unary expreesion, input=1374, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-96286, right_input=0, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=-55","layer":1},{"info":"compute binary expreesion, left_input=2822, right_input=-55, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-38","layer":0}],"base":7,"result_base":7,"text":"(⇖⫷⫕((≴∭⊉10262⪗)⫃⨇(⨛≴∭⊉32513)))%((≴∭⊉33126⊍)≚⊃≕(≴∭⊉14452⨚⇆≴∭⊉36351))⪎↠(⊖(≴∭⊉2653⊍))=≴∭⊉-53","reverse_text":"≴∭⊉-53=(⇖⫷⫕((≴∭⊉10262⪗)⫃⨇(⨛≴∭⊉32513)))%((≴∭⊉33126⊍)≚⊃≕(≴∭⊉14452⨚⇆≴∭⊉36351))⪎↠(⊖(≴∭⊉2653⊍))","cot":[{"info":"≴∭⊉10262⪗=NaN","layer":3},{"info":"⨛≴∭⊉32513=NaN","layer":3},{"info":"NaN⫃⨇NaN=NaN","layer":2},{"info":"⇖⫷⫕NaN=≴∭⊉11141","layer":1},{"info":"≴∭⊉33126⊍=≴∭⊉124464","layer":3},{"info":"≴∭⊉14452⨚⇆≴∭⊉36351=NaN","layer":3},{"info":"≴∭⊉124464≚⊃≕NaN=≴∭⊉-550501","layer":2},{"info":"≴∭⊉2653⊍=≴∭⊉4002","layer":3},{"info":"⊖≴∭⊉4002=≴∭⊉0","layer":2},{"info":"≴∭⊉-550501⪎↠≴∭⊉0=≴∭⊉-106","layer":1},{"info":"≴∭⊉11141%≴∭⊉-106=≴∭⊉-53","layer":0}]}
+{"id":62,"expression_no_base_symbol":"⋗⩴⪓(⊥($3527$⪪$3221$∌↝($1234$⊍)))","expression":"⋗⩴⪓(⊥(≴∭⊉13166⪪≴∭⊉12251∌↝(≴∭⊉3412⊍)))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":10794,"operation_count":5,"complexity_ratio":2158.8,"tree":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":3527,"base":7},"right_expr":{"type":"numeric_atoms","value":3221,"base":7}},"right_expr":{"type":"unary","operator":"⊍","unary_expr":{"type":"numeric_atoms","value":1234,"base":7}}}}},"used_operators":["nOKPl9n5zu","Q3PJZHRvZv","9Isq31Ruls","xD69zh8xqp","3nqY3DE9mg"],"dependent_operators":["Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","fu6greOZ01","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","FU0Cs4j7VP","JclMnS0uGI","8w2t5hMYqp","AF7qkfDlqP","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3527","layer":4},{"info":"number node, value=3221","layer":4},{"info":"compute binary expreesion, left_input=3527, right_input=3221, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-528666","layer":3},{"info":"number node, value=1234","layer":4},{"info":"compute unary expreesion, input=1234, op_id = 3nqY3DE9mg, unary_op_definition = 'a⊍ = { (⊄⩳↩(⨑⩽⪐(a⋳⪒a))) }', output=2022","layer":3},{"info":"compute binary expreesion, left_input=-528666, right_input=2022, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=-6066","layer":2},{"info":"compute unary expreesion, input=-6066, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"⋗⩴⪓(⊥(≴∭⊉13166⪪≴∭⊉12251∌↝(≴∭⊉3412⊍)))=NaN","reverse_text":"NaN=⋗⩴⪓(⊥(≴∭⊉13166⪪≴∭⊉12251∌↝(≴∭⊉3412⊍)))","cot":[{"info":"≴∭⊉13166⪪≴∭⊉12251=≴∭⊉-4331205","layer":3},{"info":"≴∭⊉3412⊍=≴∭⊉5616","layer":3},{"info":"≴∭⊉-4331205∌↝≴∭⊉5616=≴∭⊉-23454","layer":2},{"info":"⊥≴∭⊉-23454=NaN","layer":1},{"info":"⋗⩴⪓NaN=NaN","layer":0}]}
+{"id":63,"expression_no_base_symbol":"(↡($1508$∣$1215$≬⇓($1048$-$1675$)))⨂≜(($1639$⇣⩺⋵$3336$⩨$3233$⋹⋡⊁$6409$)⩌⋺($3444$⋷$1097$⫡⨏$2468$≥⨤⩑$5805$))","expression":"(↡(≴∭⊉4253∣≴∭⊉3354≬⇓(≴∭⊉3025-≴∭⊉4612)))⨂≜((≴∭⊉4531⇣⩺⋵≴∭⊉12504⩨≴∭⊉12266⋹⋡⊁≴∭⊉24454)⩌⋺(≴∭⊉13020⋷≴∭⊉3125⫡⨏≴∭⊉10124≥⨤⩑≴∭⊉22632))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":62902,"operation_count":12,"complexity_ratio":5241.833333333333,"tree":{"type":"binary","operator":"⨂≜","left_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":1508,"base":7},"right_expr":{"type":"numeric_atoms","value":1215,"base":7}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1048,"base":7},"right_expr":{"type":"numeric_atoms","value":1675,"base":7}}}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":1639,"base":7},"right_expr":{"type":"numeric_atoms","value":3336,"base":7}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":3233,"base":7},"right_expr":{"type":"numeric_atoms","value":6409,"base":7}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":3444,"base":7},"right_expr":{"type":"numeric_atoms","value":1097,"base":7}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":2468,"base":7},"right_expr":{"type":"numeric_atoms","value":5805,"base":7}}}}},"used_operators":["k1SHOSEABc","MXaNJeIAZ3","jWTQ2TZYIH","PPChnnnBFF","rysDP5nf3Z","g7Hmc5v1ko","2DlMacCsIx","F4yD0voBRQ","As8RqfVLgs","QMFrweE19q","23Mk6UjR3U","gJLn6v0xnP"],"dependent_operators":["9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1508","layer":4},{"info":"number node, value=1215","layer":4},{"info":"compute binary expreesion, left_input=1508, right_input=1215, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=1508","layer":3},{"info":"number node, value=1048","layer":4},{"info":"number node, value=1675","layer":4},{"info":"compute binary expreesion, left_input=1048, right_input=1675, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-627","layer":3},{"info":"compute binary expreesion, left_input=1508, right_input=-627, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":2},{"info":"compute unary expreesion, input=-22, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=-198","layer":1},{"info":"number node, value=1639","layer":4},{"info":"number node, value=3336","layer":4},{"info":"compute binary expreesion, left_input=1639, right_input=3336, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"number node, value=3233","layer":4},{"info":"number node, value=6409","layer":4},{"info":"compute binary expreesion, left_input=3233, right_input=6409, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=7159","layer":3},{"info":"compute binary expreesion, left_input=-260, right_input=7159, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=84","layer":2},{"info":"number node, value=3444","layer":4},{"info":"number node, value=1097","layer":4},{"info":"compute binary expreesion, left_input=3444, right_input=1097, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-1250","layer":3},{"info":"number node, value=2468","layer":4},{"info":"number node, value=5805","layer":4},{"info":"compute binary expreesion, left_input=2468, right_input=5805, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=-1250, right_input=1234, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=-2999","layer":2},{"info":"compute binary expreesion, left_input=84, right_input=-2999, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=2794","layer":1},{"info":"compute binary expreesion, left_input=-198, right_input=2794, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(↡(≴∭⊉4253∣≴∭⊉3354≬⇓(≴∭⊉3025-≴∭⊉4612)))⨂≜((≴∭⊉4531⇣⩺⋵≴∭⊉12504⩨≴∭⊉12266⋹⋡⊁≴∭⊉24454)⩌⋺(≴∭⊉13020⋷≴∭⊉3125⫡⨏≴∭⊉10124≥⨤⩑≴∭⊉22632))=NaN","reverse_text":"NaN=(↡(≴∭⊉4253∣≴∭⊉3354≬⇓(≴∭⊉3025-≴∭⊉4612)))⨂≜((≴∭⊉4531⇣⩺⋵≴∭⊉12504⩨≴∭⊉12266⋹⋡⊁≴∭⊉24454)⩌⋺(≴∭⊉13020⋷≴∭⊉3125⫡⨏≴∭⊉10124≥⨤⩑≴∭⊉22632))","cot":[{"info":"≴∭⊉4253∣≴∭⊉3354=≴∭⊉4253","layer":3},{"info":"≴∭⊉3025-≴∭⊉4612=≴∭⊉-1554","layer":3},{"info":"≴∭⊉4253≬⇓≴∭⊉-1554=≴∭⊉-31","layer":2},{"info":"↡≴∭⊉-31=≴∭⊉-402","layer":1},{"info":"≴∭⊉4531⇣⩺⋵≴∭⊉12504=≴∭⊉-521","layer":3},{"info":"≴∭⊉12266⋹⋡⊁≴∭⊉24454=≴∭⊉26605","layer":3},{"info":"≴∭⊉-521⩨≴∭⊉26605=≴∭⊉150","layer":2},{"info":"≴∭⊉13020⋷≴∭⊉3125=≴∭⊉-3434","layer":3},{"info":"≴∭⊉10124≥⨤⩑≴∭⊉22632=≴∭⊉3412","layer":3},{"info":"≴∭⊉-3434⫡⨏≴∭⊉3412=≴∭⊉-11513","layer":2},{"info":"≴∭⊉150⩌⋺≴∭⊉-11513=≴∭⊉11101","layer":1},{"info":"≴∭⊉-402⨂≜≴∭⊉11101=NaN","layer":0}]}
+{"id":64,"expression_no_base_symbol":"↥($3304$⨜⨶$7235$⩤)↳≱(↑$1618$)≴⪞⇿($6987$⪡$5467$)","expression":"↥(≴∭⊉12430⨜⨶≴∭⊉30044⩤)↳≱(↑≴∭⊉4501)≴⪞⇿(≴∭⊉26241⪡≴∭⊉21640)","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":286,"operation_count":7,"complexity_ratio":40.857142857142854,"tree":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":3304,"base":7},"right_expr":{"type":"numeric_atoms","value":7235,"base":7}}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"numeric_atoms","value":1618,"base":7}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":6987,"base":7},"right_expr":{"type":"numeric_atoms","value":5467,"base":7}}}}},"used_operators":["A8NUZmVepG","JwTKLfZU96","Z2TMIBDE3Q","HiPekx5b7W","lvlrscuwVU","tR7O2zTn5j","oraRL2iQuh"],"dependent_operators":["k8jYdgA6NY","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","rysDP5nf3Z","t8gj7n24qd","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3304","layer":4},{"info":"number node, value=7235","layer":4},{"info":"compute binary expreesion, left_input=3304, right_input=7235, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))���⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-14214","layer":3},{"info":"compute unary expreesion, input=-14214, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=14214","layer":2},{"info":"number node, value=1618","layer":4},{"info":"compute unary expreesion, input=1618, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":3},{"info":"number node, value=6987","layer":4},{"info":"number node, value=5467","layer":4},{"info":"compute binary expreesion, left_input=6987, right_input=5467, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"compute binary expreesion, left_input=192, right_input=107, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=1815","layer":2},{"info":"compute binary expreesion, left_input=14214, right_input=1815, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=0","layer":0}],"base":7,"result_base":7,"text":"↥(≴∭⊉12430⨜⨶≴∭⊉30044⩤)↳≱(↑≴∭⊉4501)≴⪞⇿(≴∭⊉26241⪡≴∭⊉21640)=≴∭⊉0","reverse_text":"≴∭⊉0=↥(≴∭⊉12430⨜⨶≴∭⊉30044⩤)↳≱(↑≴∭⊉4501)≴⪞⇿(≴∭⊉26241⪡≴∭⊉21640)","cot":[{"info":"≴∭⊉12430⨜⨶≴∭⊉30044=≴∭⊉-56304","layer":3},{"info":"≴∭⊉-56304⩤=≴∭⊉56304","layer":2},{"info":"↑≴∭⊉4501=≴∭⊉363","layer":3},{"info":"≴∭⊉26241⪡≴∭⊉21640=≴∭⊉212","layer":3},{"info":"≴∭⊉363≴⪞⇿≴∭⊉212=≴∭⊉5202","layer":2},{"info":"≴∭⊉56304↳≱≴∭⊉5202=≴∭⊉0","layer":1},{"info":"↥≴∭⊉0=≴∭⊉0","layer":0}]}
+{"id":65,"expression_no_base_symbol":"(($1079$⪨≂$2960$)⊮⊟↴($3315$⨜⨶$3457$)+⇶⊼((⨂⪏⇭$2022$)∟))∋(($6075$⇡)≝⊿$2970$⩣⫁∢$4046$)⨸(($8611$⊊)∠⫱($3192$⋹))","expression":"((≴∭⊉3101⪨≂≴∭⊉11426)⊮⊟↴(≴∭⊉12444⨜⨶≴∭⊉13036)+⇶⊼((⨂⪏⇭≴∭⊉5616)∟))∋((≴∭⊉23466⇡)≝⊿≴∭⊉11442⩣⫁∢≴∭⊉14540)⨸((≴∭⊉34051⊊)∠⫱(≴∭⊉12210⋹))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":14719,"operation_count":14,"complexity_ratio":1051.357142857143,"tree":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1079,"base":7},"right_expr":{"type":"numeric_atoms","value":2960,"base":7}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":3315,"base":7},"right_expr":{"type":"numeric_atoms","value":3457,"base":7}}},"right_expr":{"type":"unary","operator":"∟","unary_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"numeric_atoms","value":2022,"base":7}}}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"unary","operator":"⇡","unary_expr":{"type":"numeric_atoms","value":6075,"base":7}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":2970,"base":7},"right_expr":{"type":"numeric_atoms","value":4046,"base":7}}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"unary","operator":"⊊","unary_expr":{"type":"numeric_atoms","value":8611,"base":7}},"right_expr":{"type":"unary","operator":"⋹","unary_expr":{"type":"numeric_atoms","value":3192,"base":7}}}}},"used_operators":["ukq6epAj5P","TpPTUOHfaN","QDVgd2eftb","sdazOOVcIp","HiPekx5b7W","hTbEZDJLEm","AYdpE9sXAk","KmoU8R5UQR","OKKcZfAt5B","UqFzSgLMvQ","JDUIKTTSIa","QvoQhV0rrE","W9R8I5fN5A","opAxDRczMr"],"dependent_operators":["SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","AHs5Up7iyr","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","KPf6cnQVty","zVYPLywUTj","AFVx7xoS7T","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","12rbrZMWeM","3sJ7IOPOlU","sJAwomhLZr","4JB6nKBMSY","k2HlF1dBQh","BiWNJpBvwn","YSKBFp38Pu","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","DlLNRPXxWL","aBQ6xLxuTc","8n5YIzOsVS","oZj3VtZNQx","MahUMFw56D","hyuBjUqXlG","aA7tF3KVD3","2DDjHMKMc0","QMFrweE19q","SxTAKzQCrw","8cLx32lpNA","13rbtpv6ld","mp7IySMOzn","z63VuFQld9","aN9a90urxU","27wFxooxGf","SVb2v531z1","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1079","layer":4},{"info":"number node, value=2960","layer":4},{"info":"compute binary expreesion, left_input=1079, right_input=2960, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-3660","layer":3},{"info":"number node, value=3315","layer":4},{"info":"number node, value=3457","layer":4},{"info":"compute binary expreesion, left_input=3315, right_input=3457, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-6658","layer":3},{"info":"compute binary expreesion, left_input=-3660, right_input=-6658, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=360541","layer":2},{"info":"number node, value=2022","layer":4},{"info":"compute unary expreesion, input=2022, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=5087","layer":3},{"info":"compute unary expreesion, input=5087, op_id = hTbEZDJLEm, unary_op_definition = 'a∟ = { ((58∺≝⩲a)⇌⫙⪟(a⊪)) }', output=113","layer":2},{"info":"compute binary expreesion, left_input=360541, right_input=113, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"number node, value=6075","layer":4},{"info":"compute unary expreesion, input=6075, op_id = UqFzSgLMvQ, unary_op_definition = 'a⇡ = { (((a⇴a)⪇≇⋚(∤27))⇤((a⩍⋽⫝̸27)⩠)) }', output=-2917","layer":3},{"info":"number node, value=2970","layer":4},{"info":"number node, value=4046","layer":4},{"info":"compute binary expreesion, left_input=2970, right_input=4046, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-5779","layer":3},{"info":"compute binary expreesion, left_input=-2917, right_input=-5779, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=13942","layer":2},{"info":"number node, value=8611","layer":4},{"info":"compute unary expreesion, input=8611, op_id = W9R8I5fN5A, unary_op_definition = 'a⊊ = { (((⫛⫱⨽a)∙⊟a)∌((a⇂≾⫗536)⋝⋈⪟(a⫡⨏a))) , if ((a≚⋢)==7 or (a⪘⨀)==15) ; ((a≀⫉(6⪛⫼a))⫠↝⫳) , else }', output=90927","layer":3},{"info":"number node, value=3192","layer":4},{"info":"compute unary expreesion, input=3192, op_id = opAxDRczMr, unary_op_definition = 'a⋹ = { ((⨴⫝a)⇷(a↤⩊a)) , if (a≃⋄)<20 or (⊢≑≆a)<=20 ; ((a⨰a)∧) , else }', output=-20","layer":3},{"info":"compute binary expreesion, left_input=90927, right_input=-20, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=90947","layer":2},{"info":"compute binary expreesion, left_input=13942, right_input=90947, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=27884","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=27884, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉3101⪨≂≴∭⊉11426)⊮⊟↴(≴∭⊉12444⨜⨶≴∭⊉13036)+⇶⊼((⨂⪏⇭≴∭⊉5616)∟))∋((≴∭⊉23466⇡)≝⊿≴∭⊉11442⩣⫁∢≴∭⊉14540)⨸((≴∭⊉34051⊊)∠⫱(≴∭⊉12210⋹))=NaN","reverse_text":"NaN=((≴∭⊉3101⪨≂≴∭⊉11426)⊮⊟↴(≴∭⊉12444⨜⨶≴∭⊉13036)+⇶⊼((⨂⪏⇭≴∭⊉5616)∟))∋((≴∭⊉23466⇡)≝⊿≴∭⊉11442⩣⫁∢≴∭⊉14540)⨸((≴∭⊉34051⊊)∠⫱(≴∭⊉12210⋹))","cot":[{"info":"≴∭⊉3101⪨≂≴∭⊉11426=≴∭⊉-13446","layer":3},{"info":"≴∭⊉12444⨜⨶≴∭⊉13036=≴∭⊉-25261","layer":3},{"info":"≴∭⊉-13446⊮⊟↴≴∭⊉-25261=≴∭⊉3031066","layer":2},{"info":"⨂⪏⇭≴∭⊉5616=≴∭⊉20555","layer":3},{"info":"≴∭⊉20555∟=≴∭⊉221","layer":2},{"info":"≴∭⊉3031066+⇶⊼≴∭⊉221=NaN","layer":1},{"info":"≴∭⊉23466⇡=≴∭⊉-11335","layer":3},{"info":"≴∭⊉11442⩣⫁∢≴∭⊉14540=≴∭⊉-22564","layer":3},{"info":"≴∭⊉-11335≝⊿≴∭⊉-22564=≴∭⊉55435","layer":2},{"info":"≴∭⊉34051⊊=≴∭⊉526044","layer":3},{"info":"≴∭⊉12210⋹=≴∭⊉-26","layer":3},{"info":"≴∭⊉526044∠⫱≴∭⊉-26=≴∭⊉526103","layer":2},{"info":"≴∭⊉55435⨸≴∭⊉526103=≴∭⊉144203","layer":1},{"info":"NaN∋≴∭⊉144203=NaN","layer":0}]}
+{"id":66,"expression_no_base_symbol":"(⨂⪏⇭(⩩($1171$⇄$2928$)))∝(⊬↢((⇈$1083$)≬⇓(≸≮$3541$)))","expression":"(⨂⪏⇭(⩩(≴∭⊉3262⇄≴∭⊉11352)))∝(⊬↢((⇈≴∭⊉3105)≬⇓(≸≮≴∭⊉13216)))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":13465,"operation_count":8,"complexity_ratio":1683.125,"tree":{"type":"binary","operator":"∝","left_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":1171,"base":7},"right_expr":{"type":"numeric_atoms","value":2928,"base":7}}}},"right_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"numeric_atoms","value":1083,"base":7}},"right_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"numeric_atoms","value":3541,"base":7}}}}},"used_operators":["cTDWOvIxvz","AYdpE9sXAk","kMhfGuqI2H","3EYGwJThht","WPoGxAaPR1","jWTQ2TZYIH","SLLxy00UIr","AljMvE3RRm"],"dependent_operators":["7j4O788W3g","W4YGzv6Whe","COABgblf1C","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1171","layer":4},{"info":"number node, value=2928","layer":4},{"info":"compute binary expreesion, left_input=1171, right_input=2928, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=232","layer":2},{"info":"compute unary expreesion, input=232, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=-283","layer":1},{"info":"number node, value=1083","layer":4},{"info":"compute unary expreesion, input=1083, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":3},{"info":"number node, value=3541","layer":4},{"info":"compute unary expreesion, input=3541, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=nan, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=2050364","layer":2},{"info":"compute unary expreesion, input=2050364, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-283, right_input=nan, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(⨂⪏⇭(⩩(≴∭⊉3262⇄≴∭⊉11352)))∝(⊬↢((⇈≴∭⊉3105)≬⇓(≸≮≴∭⊉13216)))=NaN","reverse_text":"NaN=(⨂⪏⇭(⩩(≴∭⊉3262⇄≴∭⊉11352)))∝(⊬↢((⇈≴∭⊉3105)≬⇓(≸≮≴∭⊉13216)))","cot":[{"info":"≴∭⊉3262⇄≴∭⊉11352=≴∭⊉0","layer":3},{"info":"⩩≴∭⊉0=≴∭⊉451","layer":2},{"info":"⨂⪏⇭≴∭⊉451=≴∭⊉-553","layer":1},{"info":"⇈≴∭⊉3105=≴∭⊉-1206","layer":3},{"info":"≸≮≴∭⊉13216=NaN","layer":3},{"info":"≴∭⊉-1206≬⇓NaN=≴∭⊉23266511","layer":2},{"info":"⊬↢≴∭⊉23266511=NaN","layer":1},{"info":"≴∭⊉-553∝NaN=NaN","layer":0}]}
+{"id":67,"expression_no_base_symbol":"($1417$⪭≯$1272$+⇶⊼$1330$⨚$3417$)⇣⩺⋵(($4700$⪨⊡$4038$)⨌↪)⪉⨛($2707$∣$1073$⩺⪪$1200$↤⩊$2096$)⫢⨠($1196$≨$2083$)↳≱($1318$⊱⇼⊻$4796$)","expression":"(≴∭⊉4063⪭≯≴∭⊉3465+⇶⊼≴∭⊉3610⨚≴∭⊉12651)⇣⩺⋵((≴∭⊉16463⪨⊡≴∭⊉14526)⨌↪)⪉⨛(≴∭⊉10615∣≴∭⊉3062⩺⪪≴∭⊉3333↤⩊≴∭⊉6053)⫢⨠(≴∭⊉3326≨≴∭⊉6034)↳≱(≴∭⊉3562⊱⇼⊻≴∭⊉16661)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":822,"operation_count":14,"complexity_ratio":58.714285714285715,"tree":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":1417,"base":7},"right_expr":{"type":"numeric_atoms","value":1272,"base":7}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":1330,"base":7},"right_expr":{"type":"numeric_atoms","value":3417,"base":7}}},"right_expr":{"type":"unary","operator":"⨌↪","unary_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":4700,"base":7},"right_expr":{"type":"numeric_atoms","value":4038,"base":7}}}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":2707,"base":7},"right_expr":{"type":"numeric_atoms","value":1073,"base":7}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":1200,"base":7},"right_expr":{"type":"numeric_atoms","value":2096,"base":7}}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":1196,"base":7},"right_expr":{"type":"numeric_atoms","value":2083,"base":7}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":1318,"base":7},"right_expr":{"type":"numeric_atoms","value":4796,"base":7}}}}},"used_operators":["EWw2JM7wp4","F4yD0voBRQ","TpPTUOHfaN","XAx5wpdLa6","nREPSIbpBE","cWQsF5MvuD","kuIXHzHcAH","xlXykHWxX1","uvdQJvN4PV","PPChnnnBFF","13rbtpv6ld","JwTKLfZU96","0KMCeP1Jsh","FyVja0WsTP"],"dependent_operators":["NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","AHs5Up7iyr","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","BjRHVeLaeN","12rbrZMWeM","8w2t5hMYqp","2DQ55sFlQl","i8ToyICDmI","QMFrweE19q","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1417","layer":4},{"info":"number node, value=1272","layer":4},{"info":"compute binary expreesion, left_input=1417, right_input=1272, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"number node, value=1330","layer":4},{"info":"number node, value=3417","layer":4},{"info":"compute binary expreesion, left_input=1330, right_input=3417, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-10074","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-10074, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=4700","layer":4},{"info":"number node, value=4038","layer":4},{"info":"compute binary expreesion, left_input=4700, right_input=4038, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = cWQsF5MvuD, unary_op_definition = 'a⨌↪ = { (⊄⩳↩((a∲⫓a)⨵⪆(a⫡⨏a))) }', output=-480","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-480, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":1},{"info":"number node, value=2707","layer":4},{"info":"number node, value=1073","layer":4},{"info":"compute binary expreesion, left_input=2707, right_input=1073, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=2707","layer":3},{"info":"number node, value=1200","layer":4},{"info":"number node, value=2096","layer":4},{"info":"compute binary expreesion, left_input=1200, right_input=2096, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2707, right_input=nan, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=nan","layer":2},{"info":"number node, value=1196","layer":4},{"info":"number node, value=2083","layer":4},{"info":"compute binary expreesion, left_input=1196, right_input=2083, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-9484","layer":3},{"info":"number node, value=1318","layer":4},{"info":"number node, value=4796","layer":4},{"info":"compute binary expreesion, left_input=1318, right_input=4796, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"compute binary expreesion, left_input=-9484, right_input=434, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-260, right_input=nan, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉4063⪭≯≴∭⊉3465+⇶⊼≴∭⊉3610⨚≴∭⊉12651)⇣⩺⋵((≴∭⊉16463⪨⊡≴∭⊉14526)⨌↪)⪉⨛(≴∭⊉10615∣≴∭⊉3062⩺⪪≴∭⊉3333↤⩊≴∭⊉6053)⫢⨠(≴∭⊉3326≨≴∭⊉6034)↳≱(≴∭⊉3562⊱⇼⊻≴∭⊉16661)=NaN","reverse_text":"NaN=(≴∭⊉4063⪭≯≴∭⊉3465+⇶⊼≴∭⊉3610⨚≴∭⊉12651)⇣⩺⋵((≴∭⊉16463⪨⊡≴∭⊉14526)⨌↪)⪉⨛(≴∭⊉10615∣≴∭⊉3062⩺⪪≴∭⊉3333↤⩊≴∭⊉6053)⫢⨠(≴∭⊉3326≨≴∭⊉6034)↳≱(≴∭⊉3562⊱⇼⊻≴∭⊉16661)","cot":[{"info":"≴∭⊉4063⪭≯≴∭⊉3465=NaN","layer":3},{"info":"≴∭⊉3610⨚≴∭⊉12651=≴∭⊉-41241","layer":3},{"info":"NaN+⇶⊼≴∭⊉-41241=NaN","layer":2},{"info":"≴∭⊉16463⪨⊡≴∭⊉14526=≴∭⊉0","layer":3},{"info":"≴∭⊉0⨌↪=≴∭⊉-1254","layer":2},{"info":"NaN⇣⩺⋵≴∭⊉-1254=≴∭⊉-521","layer":1},{"info":"≴∭⊉10615∣≴∭⊉3062=≴∭⊉10615","layer":3},{"info":"≴∭⊉3333↤⩊≴∭⊉6053=NaN","layer":3},{"info":"≴∭⊉10615⩺⪪NaN=NaN","layer":2},{"info":"≴∭⊉3326≨≴∭⊉6034=≴∭⊉-36436","layer":3},{"info":"≴∭⊉3562⊱⇼⊻≴∭⊉16661=≴∭⊉1160","layer":3},{"info":"≴∭⊉-36436↳≱≴∭⊉1160=≴∭⊉0","layer":2},{"info":"NaN⫢⨠≴∭⊉0=NaN","layer":1},{"info":"≴∭⊉-521⪉⨛NaN=NaN","layer":0}]}
+{"id":68,"expression_no_base_symbol":"((⩰$2265$)⪬($1431$↓$1187$)⨭⪣($5272$∊∟⩊$1140$)↤⩊($4000$↸$1120$))⨸(⫶⊄≣($1422$⫲≸⪮$2062$))⊮⊟↴(($2943$⇷$2959$)⨿($4010$⋥≓≎$1863$))","expression":"((⩰≴∭⊉6414)⪬(≴∭⊉4113↓≴∭⊉3314)⨭⪣(≴∭⊉21241∊∟⩊≴∭⊉3216)↤⩊(≴∭⊉14443↸≴∭⊉3160))⨸(⫶⊄≣(≴∭⊉4101⫲≸⪮≴∭⊉6004))⊮⊟↴((≴∭⊉11403⇷≴∭⊉11425)⨿(≴∭⊉14456⋥≓≎≴∭⊉5301))","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":63309,"operation_count":14,"complexity_ratio":4522.071428571428,"tree":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"numeric_atoms","value":2265,"base":7}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":1431,"base":7},"right_expr":{"type":"numeric_atoms","value":1187,"base":7}}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":5272,"base":7},"right_expr":{"type":"numeric_atoms","value":1140,"base":7}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":4000,"base":7},"right_expr":{"type":"numeric_atoms","value":1120,"base":7}}}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":1422,"base":7},"right_expr":{"type":"numeric_atoms","value":2062,"base":7}}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2943,"base":7},"right_expr":{"type":"numeric_atoms","value":2959,"base":7}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":4010,"base":7},"right_expr":{"type":"numeric_atoms","value":1863,"base":7}}}}},"used_operators":["KmoU8R5UQR","kn8WO9XteQ","Ez1Nq5fNfI","WkeUrDK8WX","Af076pWI7l","13rbtpv6ld","ddLRYrp01A","1eCjFl0mb9","QDVgd2eftb","wxb3vTeyAj","P3lXMJvFrc","abYXlopdE0","mp7IySMOzn","Qy55tPpLXF"],"dependent_operators":["ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"≴∭⊉60","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2265","layer":4},{"info":"compute unary expreesion, input=2265, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-3265","layer":3},{"info":"number node, value=1431","layer":4},{"info":"number node, value=1187","layer":4},{"info":"compute binary expreesion, left_input=1431, right_input=1187, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=-3265, right_input=-134, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"number node, value=5272","layer":4},{"info":"number node, value=1140","layer":4},{"info":"compute binary expreesion, left_input=5272, right_input=1140, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=1140","layer":3},{"info":"number node, value=4000","layer":4},{"info":"number node, value=1120","layer":4},{"info":"compute binary expreesion, left_input=4000, right_input=1120, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=4000","layer":3},{"info":"compute binary expreesion, left_input=1140, right_input=4000, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=nan, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-21","layer":1},{"info":"number node, value=1422","layer":4},{"info":"number node, value=2062","layer":4},{"info":"compute binary expreesion, left_input=1422, right_input=2062, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=1422","layer":3},{"info":"compute unary expreesion, input=1422, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=36419797","layer":2},{"info":"number node, value=2943","layer":4},{"info":"number node, value=2959","layer":4},{"info":"compute binary expreesion, left_input=2943, right_input=2959, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=5918","layer":3},{"info":"number node, value=4010","layer":4},{"info":"number node, value=1863","layer":4},{"info":"compute binary expreesion, left_input=4010, right_input=1863, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-251","layer":3},{"info":"compute binary expreesion, left_input=5918, right_input=-251, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":2},{"info":"compute binary expreesion, left_input=36419797, right_input=-319, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=0, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=42","layer":0}],"base":7,"result_base":7,"text":"((⩰≴∭⊉6414)⪬(≴∭⊉4113↓≴∭⊉3314)⨭⪣(≴∭⊉21241∊∟⩊≴∭⊉3216)↤⩊(≴∭⊉14443↸≴∭⊉3160))⨸(⫶⊄≣(≴∭⊉4101⫲≸⪮≴∭⊉6004))⊮⊟↴((≴∭⊉11403⇷≴∭⊉11425)⨿(≴∭⊉14456⋥≓≎≴∭⊉5301))=≴∭⊉60","reverse_text":"≴∭⊉60=((⩰≴∭⊉6414)⪬(≴∭⊉4113↓≴∭⊉3314)⨭⪣(≴∭⊉21241∊∟⩊≴∭⊉3216)↤⩊(≴∭⊉14443↸≴∭⊉3160))⨸(⫶⊄≣(≴∭⊉4101⫲≸⪮≴∭⊉6004))⊮⊟↴((≴∭⊉11403⇷≴∭⊉11425)⨿(≴∭⊉14456⋥≓≎≴∭⊉5301))","cot":[{"info":"⩰≴∭⊉6414=≴∭⊉-12343","layer":3},{"info":"≴∭⊉4113↓≴∭⊉3314=≴∭⊉-251","layer":3},{"info":"≴∭⊉-12343⪬≴∭⊉-251=≴∭⊉3412","layer":2},{"info":"≴∭⊉21241∊∟⩊≴∭⊉3216=≴∭⊉3216","layer":3},{"info":"≴∭⊉14443↸≴∭⊉3160=≴∭⊉14443","layer":3},{"info":"≴∭⊉3216↤⩊≴∭⊉14443=NaN","layer":2},{"info":"≴∭⊉3412⨭⪣NaN=≴∭⊉-30","layer":1},{"info":"≴∭⊉4101⫲≸⪮≴∭⊉6004=≴∭⊉4101","layer":3},{"info":"⫶⊄≣≴∭⊉4101=≴∭⊉621364111","layer":2},{"info":"≴∭⊉11403⇷≴∭⊉11425=≴∭⊉23153","layer":3},{"info":"≴∭⊉14456⋥≓≎≴∭⊉5301=≴∭⊉-506","layer":3},{"info":"≴∭⊉23153⨿≴∭⊉-506=≴∭⊉-634","layer":2},{"info":"≴∭⊉621364111⊮⊟↴≴∭⊉-634=≴∭⊉0","layer":1},{"info":"≴∭⊉-30⨸≴∭⊉0=≴∭⊉60","layer":0}]}
+{"id":69,"expression_no_base_symbol":"((($1762$∀⇚≩$1782$)⇞)∷(⨛(⨝⨆$7380$)))⨻⩈⩔(((∟⋨$6852$)∙⊟$1373$⇮⋭$1730$)≒∊($3757$≹⇙⪍$2364$⨴∎))","expression":"(((≴∭⊉5065∀⇚≩≴∭⊉5124)⇞)∷(⨛(⨝⨆≴∭⊉30342)))⨻⩈⩔(((∟⋨≴∭⊉25656)∙⊟≴∭⊉4001⇮⋭≴∭⊉5021)≒∊(≴∭⊉13645≹⇙⪍≴∭⊉6615⨴∎))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":25811,"operation_count":12,"complexity_ratio":2150.9166666666665,"tree":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"unary","operator":"⇞","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1762,"base":7},"right_expr":{"type":"numeric_atoms","value":1782,"base":7}}},"right_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"numeric_atoms","value":7380,"base":7}}}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"numeric_atoms","value":6852,"base":7}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":1373,"base":7},"right_expr":{"type":"numeric_atoms","value":1730,"base":7}}},"right_expr":{"type":"unary","operator":"⨴∎","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":3757,"base":7},"right_expr":{"type":"numeric_atoms","value":2364,"base":7}}}}},"used_operators":["nEsXyWgiOK","D3AQDKkPcf","5JYyxRJd4f","LRNGc0VcxI","CoMdbyAt7R","bQ67fsrMVf","5KTvxBwnZo","SxTAKzQCrw","ctOc4cKSDt","vkpjKywKVM","CpSg5vQTgA","AHs5Up7iyr"],"dependent_operators":["D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","9FxExcQeMw","NTOWxs364D","7j4O788W3g","9FxExcQeMw","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","QMFrweE19q","X99M06cbEe","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","tifHPKVTfV","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","eLAdDNolq6","tmPS8pqC7x","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","Q3PJZHRvZv","s1XTVnmDOJ","VEQNXA0ZBg","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1762","layer":4},{"info":"number node, value=1782","layer":4},{"info":"compute binary expreesion, left_input=1762, right_input=1782, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 5JYyxRJd4f, unary_op_definition = 'a⇞ = { (a≧⫂∧((a⩷∴a)⨸⪁(a-a))) , if a<7 ; ((⨞⊢(a∲⫓a))⫡⨏(a⊉≛↸(a⇼⇔∾a))) , else }', output=nan","layer":2},{"info":"number node, value=7380","layer":4},{"info":"compute unary expreesion, input=7380, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=7171","layer":3},{"info":"compute unary expreesion, input=7171, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=nan","layer":1},{"info":"number node, value=6852","layer":4},{"info":"compute unary expreesion, input=6852, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-6368","layer":3},{"info":"number node, value=1373","layer":4},{"info":"number node, value=1730","layer":4},{"info":"compute binary expreesion, left_input=1373, right_input=1730, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute binary expreesion, left_input=-6368, right_input=-473, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=98528","layer":2},{"info":"number node, value=3757","layer":4},{"info":"number node, value=2364","layer":4},{"info":"compute binary expreesion, left_input=3757, right_input=2364, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = CpSg5vQTgA, unary_op_definition = 'a⨴∎ = { (⊥a) , if (a≓∲156)<=233 or (a⪗)>744 ; a , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=98528, right_input=nan, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(((≴∭⊉5065∀⇚≩≴∭⊉5124)⇞)∷(⨛(⨝⨆≴∭⊉30342)))⨻⩈⩔(((∟⋨≴∭⊉25656)∙⊟≴∭⊉4001⇮⋭≴∭⊉5021)≒∊(≴∭⊉13645≹⇙⪍≴∭⊉6615⨴∎))=NaN","reverse_text":"NaN=(((≴∭⊉5065∀⇚≩≴∭⊉5124)⇞)∷(⨛(⨝⨆≴∭⊉30342)))⨻⩈⩔(((∟⋨≴∭⊉25656)∙⊟≴∭⊉4001⇮⋭≴∭⊉5021)≒∊(≴∭⊉13645≹⇙⪍≴∭⊉6615⨴∎))","cot":[{"info":"≴∭⊉5065∀⇚≩≴∭⊉5124=NaN","layer":3},{"info":"NaN⇞=NaN","layer":2},{"info":"⨝⨆≴∭⊉30342=≴∭⊉26623","layer":3},{"info":"⨛≴∭⊉26623=NaN","layer":2},{"info":"NaN∷NaN=NaN","layer":1},{"info":"∟⋨≴∭⊉25656=≴∭⊉-24365","layer":3},{"info":"≴∭⊉4001⇮⋭≴∭⊉5021=≴∭⊉-1244","layer":3},{"info":"≴∭⊉-24365∙⊟≴∭⊉-1244=≴∭⊉560153","layer":2},{"info":"≴∭⊉13645≹⇙⪍≴∭⊉6615=NaN","layer":3},{"info":"NaN⨴∎=NaN","layer":2},{"info":"≴∭⊉560153≒∊NaN=NaN","layer":1},{"info":"NaN⨻⩈⩔NaN=NaN","layer":0}]}
+{"id":70,"expression_no_base_symbol":"((⫛⫱⨽($1803$≥⨤⩑$8238$))≬⋮(⋃$3643$)↼⊘⨖$2168$+⪬∐$5046$)∼((⫎≠⋺$2861$)*(⊽$1157$)↸(⪸$2031$)⋕⪉⪜($6088$⫌⩉⩟$1872$))","expression":"((⫛⫱⨽(≴∭⊉5154≥⨤⩑≴∭⊉33006))≬⋮(⋃≴∭⊉13423)↼⊘⨖≴∭⊉6215+⪬∐≴∭⊉20466)∼((⫎≠⋺≴∭⊉11225)*(⊽≴∭⊉3242)↸(⪸≴∭⊉5631)⋕⪉⪜(≴∭⊉23515⫌⩉⩟≴∭⊉5313))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":13580,"operation_count":14,"complexity_ratio":970.0,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":1803,"base":7},"right_expr":{"type":"numeric_atoms","value":8238,"base":7}}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"numeric_atoms","value":3643,"base":7}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":2168,"base":7},"right_expr":{"type":"numeric_atoms","value":5046,"base":7}}}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"numeric_atoms","value":2861,"base":7}},"right_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"numeric_atoms","value":1157,"base":7}}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"numeric_atoms","value":2031,"base":7}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":6088,"base":7},"right_expr":{"type":"numeric_atoms","value":1872,"base":7}}}}},"used_operators":["DyGG3AbaNP","kbkesczE7y","DlLNRPXxWL","gJLn6v0xnP","bPywburJMS","3mBM5G4a3l","2GS7woTJqF","1eCjFl0mb9","9HNa5Wba9A","LYeZOJ0nQG","QxG7OkqoLX","z6LnFrNh4i","86A5ENbKR9","XIIwhv8d0m"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","rGHVDoGpnC","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","g55IO6H4Gj","g55IO6H4Gj","D4vGDi5EA2","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","W4YGzv6Whe","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM"],"result":"≴∭⊉26","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1803","layer":4},{"info":"number node, value=8238","layer":4},{"info":"compute binary expreesion, left_input=1803, right_input=8238, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"number node, value=3643","layer":4},{"info":"compute unary expreesion, input=3643, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=7388","layer":3},{"info":"number node, value=2168","layer":4},{"info":"number node, value=5046","layer":4},{"info":"compute binary expreesion, left_input=2168, right_input=5046, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-6504","layer":3},{"info":"compute binary expreesion, left_input=7388, right_input=-6504, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=-13230","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-13230, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":1},{"info":"number node, value=2861","layer":4},{"info":"compute unary expreesion, input=2861, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=0","layer":3},{"info":"number node, value=1157","layer":4},{"info":"compute unary expreesion, input=1157, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=3836","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=3836, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=0","layer":2},{"info":"number node, value=2031","layer":4},{"info":"compute unary expreesion, input=2031, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-34318","layer":3},{"info":"number node, value=6088","layer":4},{"info":"number node, value=1872","layer":4},{"info":"compute binary expreesion, left_input=6088, right_input=1872, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute binary expreesion, left_input=-34318, right_input=-50, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=204, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=868, right_input=0, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=20","layer":0}],"base":7,"result_base":7,"text":"((⫛⫱⨽(≴∭⊉5154≥⨤⩑≴∭⊉33006))≬⋮(⋃≴∭⊉13423)↼⊘⨖≴∭⊉6215+⪬∐≴∭⊉20466)∼((⫎≠⋺≴∭⊉11225)*(⊽≴∭⊉3242)↸(⪸≴∭⊉5631)⋕⪉⪜(≴∭⊉23515⫌⩉⩟≴∭⊉5313))=≴∭⊉26","reverse_text":"≴∭⊉26=((⫛⫱⨽(≴∭⊉5154≥⨤⩑≴∭⊉33006))≬⋮(⋃≴∭⊉13423)↼⊘⨖≴∭⊉6215+⪬∐≴∭⊉20466)∼((⫎≠⋺≴∭⊉11225)*(⊽≴∭⊉3242)↸(⪸≴∭⊉5631)⋕⪉⪜(≴∭⊉23515⫌⩉⩟≴∭⊉5313))","cot":[{"info":"≴∭⊉5154≥⨤⩑≴∭⊉33006=≴∭⊉3412","layer":3},{"info":"⫛⫱⨽≴∭⊉3412=≴∭⊉0","layer":2},{"info":"⋃≴∭⊉13423=≴∭⊉30353","layer":3},{"info":"≴∭⊉6215+⪬∐≴∭⊉20466=≴∭⊉-24651","layer":3},{"info":"≴∭⊉30353↼⊘⨖≴∭⊉-24651=≴∭⊉-53400","layer":2},{"info":"≴∭⊉0≬⋮≴∭⊉-53400=≴∭⊉2350","layer":1},{"info":"⫎≠⋺≴∭⊉11225=≴∭⊉0","layer":3},{"info":"⊽≴∭⊉3242=≴∭⊉14120","layer":3},{"info":"≴∭⊉0*≴∭⊉14120=≴∭⊉0","layer":2},{"info":"⪸≴∭⊉5631=≴∭⊉-202024","layer":3},{"info":"≴∭⊉23515⫌⩉⩟≴∭⊉5313=≴∭⊉-101","layer":3},{"info":"≴∭⊉-202024⋕⪉⪜≴∭⊉-101=≴∭⊉411","layer":2},{"info":"≴∭⊉0↸≴∭⊉411=≴∭⊉0","layer":1},{"info":"≴∭⊉2350∼≴∭⊉0=≴∭⊉26","layer":0}]}
+{"id":71,"expression_no_base_symbol":"(⊖∈$5892$)⇄$8417$⋹⋡⊁$1428$⪇≇⋚($1526$∓⋝$5585$⫰⋱($4482$*$3639$))⩹$3390$⇻⋧≁$2356$∼($2885$⪭≯$4413$)∷(↪⫪⫘($5516$⪛⫼$1025$))","expression":"(⊖∈≴∭⊉23115)⇄≴∭⊉33353⋹⋡⊁≴∭⊉4110⪇≇⋚(≴∭⊉4310∓⋝≴∭⊉22166⫰⋱(≴∭⊉16032*≴∭⊉13416))⩹≴∭⊉12612⇻⋧≁≴∭⊉6604∼(≴∭⊉11261⪭≯≴∭⊉15603)∷(↪⫪⫘(≴∭⊉22040⪛⫼≴∭⊉2663))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":70181,"operation_count":14,"complexity_ratio":5012.928571428572,"tree":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"numeric_atoms","value":5892,"base":7}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":8417,"base":7},"right_expr":{"type":"numeric_atoms","value":1428,"base":7}}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":1526,"base":7},"right_expr":{"type":"numeric_atoms","value":5585,"base":7}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":4482,"base":7},"right_expr":{"type":"numeric_atoms","value":3639,"base":7}}}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":3390,"base":7},"right_expr":{"type":"numeric_atoms","value":2356,"base":7}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":2885,"base":7},"right_expr":{"type":"numeric_atoms","value":4413,"base":7}}},"right_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":5516,"base":7},"right_expr":{"type":"numeric_atoms","value":1025,"base":7}}}}},"used_operators":["2Wsdkap16l","3sJ7IOPOlU","3EYGwJThht","YFxL8Sc2Zy","As8RqfVLgs","6o9Blt3TJ6","PoHhknlbAi","9HNa5Wba9A","D3AQDKkPcf","DyGG3AbaNP","jCPkEVoL5K","XAx5wpdLa6","9dWsAM3GFt","hyuBjUqXlG"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","W4YGzv6Whe","9FxExcQeMw","NTOWxs364D","7j4O788W3g","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5892","layer":4},{"info":"compute unary expreesion, input=5892, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=112246","layer":3},{"info":"number node, value=8417","layer":4},{"info":"number node, value=1428","layer":4},{"info":"compute binary expreesion, left_input=8417, right_input=1428, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=2178","layer":3},{"info":"compute binary expreesion, left_input=112246, right_input=2178, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":2},{"info":"number node, value=1526","layer":4},{"info":"number node, value=5585","layer":4},{"info":"compute binary expreesion, left_input=1526, right_input=5585, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"number node, value=4482","layer":4},{"info":"number node, value=3639","layer":4},{"info":"compute binary expreesion, left_input=4482, right_input=3639, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=16309998","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=16309998, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-34","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-34, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":1},{"info":"number node, value=3390","layer":4},{"info":"number node, value=2356","layer":4},{"info":"compute binary expreesion, left_input=3390, right_input=2356, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"number node, value=2885","layer":4},{"info":"number node, value=4413","layer":4},{"info":"compute binary expreesion, left_input=2885, right_input=4413, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=nan, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"number node, value=5516","layer":4},{"info":"number node, value=1025","layer":4},{"info":"compute binary expreesion, left_input=5516, right_input=1025, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":3},{"info":"compute unary expreesion, input=968, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=20, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(⊖∈≴∭⊉23115)⇄≴∭⊉33353⋹⋡⊁≴∭⊉4110⪇≇⋚(≴∭⊉4310∓⋝≴∭⊉22166⫰⋱(≴∭⊉16032*≴∭⊉13416))⩹≴∭⊉12612⇻⋧≁≴∭⊉6604∼(≴∭⊉11261⪭≯≴∭⊉15603)∷(↪⫪⫘(≴∭⊉22040⪛⫼≴∭⊉2663))=NaN","reverse_text":"NaN=(⊖∈≴∭⊉23115)⇄≴∭⊉33353⋹⋡⊁≴∭⊉4110⪇≇⋚(≴∭⊉4310∓⋝≴∭⊉22166⫰⋱(≴∭⊉16032*≴∭⊉13416))⩹≴∭⊉12612⇻⋧≁≴∭⊉6604∼(≴∭⊉11261⪭≯≴∭⊉15603)∷(↪⫪⫘(≴∭⊉22040⪛⫼≴∭⊉2663))","cot":[{"info":"⊖∈≴∭⊉23115=≴∭⊉645151","layer":3},{"info":"≴∭⊉33353⋹⋡⊁≴∭⊉4110=≴∭⊉6231","layer":3},{"info":"≴∭⊉645151⇄≴∭⊉6231=≴∭⊉0","layer":2},{"info":"≴∭⊉4310∓⋝≴∭⊉22166=≴∭⊉124","layer":3},{"info":"≴∭⊉16032*≴∭⊉13416=≴∭⊉255430005","layer":3},{"info":"≴∭⊉124⫰⋱≴∭⊉255430005=≴∭⊉-46","layer":2},{"info":"≴∭⊉0⪇≇⋚≴∭⊉-46=≴∭⊉0","layer":1},{"info":"≴∭⊉12612⇻⋧≁≴∭⊉6604=≴∭⊉-1206","layer":3},{"info":"≴∭⊉11261⪭≯≴∭⊉15603=NaN","layer":3},{"info":"≴∭⊉-1206∼NaN=NaN","layer":2},{"info":"≴∭⊉22040⪛⫼≴∭⊉2663=≴∭⊉2552","layer":3},{"info":"↪⫪⫘≴∭⊉2552=≴∭⊉26","layer":2},{"info":"NaN∷≴∭⊉26=NaN","layer":1},{"info":"≴∭⊉0⩹NaN=NaN","layer":0}]}
+{"id":72,"expression_no_base_symbol":"(($8798$⇷$2182$≳⇉(↯⪼$2134$))⪍↜⋙(⋠∜$6634$⊱⇼⊻$2073$))⨫⇇↔((⇖($2313$⪉⨛$2226$))*((⇜⊴$8070$)⪷))","expression":"((≴∭⊉34436⇷≴∭⊉6235≳⇉(↯⪼≴∭⊉6136))⪍↜⋙(⋠∜≴∭⊉25225⊱⇼⊻≴∭⊉6021))⨫⇇↔((⇖(≴∭⊉6513⪉⨛≴∭⊉6330))*((⇜⊴≴∭⊉32346)⪷))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":126847,"operation_count":12,"complexity_ratio":10570.583333333334,"tree":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":8798,"base":7},"right_expr":{"type":"numeric_atoms","value":2182,"base":7}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":2134,"base":7}}},"right_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":6634,"base":7},"right_expr":{"type":"numeric_atoms","value":2073,"base":7}}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":2313,"base":7},"right_expr":{"type":"numeric_atoms","value":2226,"base":7}}},"right_expr":{"type":"unary","operator":"⪷","unary_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"numeric_atoms","value":8070,"base":7}}}}},"used_operators":["LXhwmt4mBO","L05ObWFQCd","V0kx6qeWkN","mp7IySMOzn","8jW3W4yZS5","ZJpFhNJr3x","FyVja0WsTP","9HNa5Wba9A","tfWHHpNKUN","EWw2JM7wp4","Qctrpi3WzA","XwDhCwWbUn"],"dependent_operators":["d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","W4YGzv6Whe","2DQ55sFlQl","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","Nsiff2A1zJ","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ"],"result":"≴∭⊉-1352","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=8798","layer":4},{"info":"number node, value=2182","layer":4},{"info":"compute binary expreesion, left_input=8798, right_input=2182, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4364","layer":3},{"info":"number node, value=2134","layer":4},{"info":"compute unary expreesion, input=2134, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"compute binary expreesion, left_input=4364, right_input=-21, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b��b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":2},{"info":"number node, value=6634","layer":4},{"info":"number node, value=2073","layer":4},{"info":"compute binary expreesion, left_input=6634, right_input=2073, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"compute unary expreesion, input=434, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=4020","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=4020, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=nan","layer":1},{"info":"number node, value=2313","layer":4},{"info":"number node, value=2226","layer":4},{"info":"compute binary expreesion, left_input=2313, right_input=2226, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=4928","layer":3},{"info":"compute unary expreesion, input=4928, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":2},{"info":"number node, value=8070","layer":4},{"info":"compute unary expreesion, input=8070, op_id = XwDhCwWbUn, unary_op_definition = '⇜⊴a = { (↩(∓⪦(a≃a))) , if ((a∐⫣)>271 and (a∴779)<=132) ; ((a↢(a⨔⇊a))⊲⩕⊾((a∝a)⊉↱≁(a⊭↱19))) , else }', output=-1890806","layer":3},{"info":"compute unary expreesion, input=-1890806, op_id = Qctrpi3WzA, unary_op_definition = 'a⪷ = { (a⊴a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉34436⇷≴∭⊉6235≳⇉(↯⪼≴∭⊉6136))⪍↜⋙(⋠∜≴∭⊉25225⊱⇼⊻≴∭⊉6021))⨫⇇↔((⇖(≴∭⊉6513⪉⨛≴∭⊉6330))*((⇜⊴≴∭⊉32346)⪷))=≴∭⊉-1352","reverse_text":"≴∭⊉-1352=((≴∭⊉34436⇷≴∭⊉6235≳⇉(↯⪼≴∭⊉6136))⪍↜⋙(⋠∜≴∭⊉25225⊱⇼⊻≴∭⊉6021))⨫⇇↔((⇖(≴∭⊉6513⪉⨛≴∭⊉6330))*((⇜⊴≴∭⊉32346)⪷))","cot":[{"info":"≴∭⊉34436⇷≴∭⊉6235=≴∭⊉15503","layer":3},{"info":"↯⪼≴∭⊉6136=≴∭⊉-30","layer":3},{"info":"≴∭⊉15503≳⇉≴∭⊉-30=NaN","layer":2},{"info":"≴∭⊉25225⊱⇼⊻≴∭⊉6021=≴∭⊉1160","layer":3},{"info":"⋠∜≴∭⊉1160=≴∭⊉14502","layer":2},{"info":"NaN⪍↜⋙≴∭⊉14502=NaN","layer":1},{"info":"≴∭⊉6513⪉⨛≴∭⊉6330=≴∭⊉20240","layer":3},{"info":"⇖≴∭⊉20240=≴∭⊉316","layer":2},{"info":"⇜⊴≴∭⊉32346=≴∭⊉-22033361","layer":3},{"info":"≴∭⊉-22033361⪷=NaN","layer":2},{"info":"≴∭⊉316*NaN=NaN","layer":1},{"info":"NaN⨫⇇↔NaN=≴∭⊉-1352","layer":0}]}
+{"id":73,"expression_no_base_symbol":"↨($1586$↦)⩦($3270$⋓$1013$)⊴($1805$⊋$4899$⩷∴$5993$⪶≀⋏$4680$)","expression":"↨(≴∭⊉4424↦)⩦(≴∭⊉12351⋓≴∭⊉2645)⊴(≴∭⊉5156⊋≴∭⊉20166⩷∴≴∭⊉23321⪶≀⋏≴∭⊉16434)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":231796,"operation_count":8,"complexity_ratio":28974.5,"tree":{"type":"unary","operator":"↨","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"unary","operator":"↦","unary_expr":{"type":"numeric_atoms","value":1586,"base":7}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3270,"base":7},"right_expr":{"type":"numeric_atoms","value":1013,"base":7}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":1805,"base":7},"right_expr":{"type":"numeric_atoms","value":4899,"base":7}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":5993,"base":7},"right_expr":{"type":"numeric_atoms","value":4680,"base":7}}}}},"used_operators":["jiX4gk2v2Q","Nsiff2A1zJ","0kmYd0q39Y","fFznvYxMfW","T2fj7uvVaJ","9FxExcQeMw","W4tP9CfskL","zR4jO40bMj"],"dependent_operators":["rGHVDoGpnC","oZj3VtZNQx","dWAJyo7jo9","14qkJME0vr","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","L05ObWFQCd","d7ASUq0ydm","inkyxCbjAn","9HNa5Wba9A","AHs5Up7iyr","xRrnTEsQ6j","vkpjKywKVM","Z5m6OM72h2","eewbuw0ToL","uWAJUKEvyW","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1586","layer":4},{"info":"compute unary expreesion, input=1586, op_id = fFznvYxMfW, unary_op_definition = 'a↦ = { (((a⊹∫⫚a)*177)⊹∫⫚((579⨰53)⪍↜⋙a)) , if a<72 ; ((⇁⨣⪵(a⫯⪬∳a))⫁⪎((a∘a)≹⇙⪍(a⇮⋭a))) , else }', output=nan","layer":3},{"info":"number node, value=3270","layer":4},{"info":"number node, value=1013","layer":4},{"info":"compute binary expreesion, left_input=3270, right_input=1013, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=nan","layer":2},{"info":"number node, value=1805","layer":4},{"info":"number node, value=4899","layer":4},{"info":"compute binary expreesion, left_input=1805, right_input=4899, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=-117764140","layer":3},{"info":"number node, value=5993","layer":4},{"info":"number node, value=4680","layer":4},{"info":"compute binary expreesion, left_input=5993, right_input=4680, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-27571","layer":3},{"info":"compute binary expreesion, left_input=-117764140, right_input=-27571, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-235473170","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-235473170, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"↨(≴∭⊉4424↦)⩦(≴∭⊉12351⋓≴∭⊉2645)⊴(≴∭⊉5156⊋≴∭⊉20166⩷∴≴∭⊉23321⪶≀⋏≴∭⊉16434)=NaN","reverse_text":"NaN=↨(≴∭⊉4424↦)⩦(≴∭⊉12351⋓≴∭⊉2645)⊴(≴∭⊉5156⊋≴∭⊉20166⩷∴≴∭⊉23321⪶≀⋏≴∭⊉16434)","cot":[{"info":"≴∭⊉4424↦=NaN","layer":3},{"info":"≴∭⊉12351⋓≴∭⊉2645=≴∭⊉0","layer":3},{"info":"NaN⩦≴∭⊉0=NaN","layer":2},{"info":"≴∭⊉5156⊋≴∭⊉20166=≴∭⊉-2626656454","layer":3},{"info":"≴∭⊉23321⪶≀⋏≴∭⊉16434=≴∭⊉-143245","layer":3},{"info":"≴∭⊉-2626656454⩷∴≴∭⊉-143245=≴∭⊉-5556326462","layer":2},{"info":"NaN⊴≴∭⊉-5556326462=NaN","layer":1},{"info":"↨NaN=NaN","layer":0}]}
+{"id":74,"expression_no_base_symbol":"↡(($4431$⊬⫿⊭)↹⊜($1401$⊜))⫞⩸⩒((↯⪼$3339$)⫘($3167$⪭≯$6032$))","expression":"↡((≴∭⊉15630⊬⫿⊭)↹⊜(≴∭⊉4041⊜))⫞⩸⩒((↯⪼≴∭⊉12510)⫘(≴∭⊉12143⪭≯≴∭⊉23405))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":420,"operation_count":8,"complexity_ratio":52.5,"tree":{"type":"unary","operator":"↡","unary_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"unary","operator":"⊬⫿⊭","unary_expr":{"type":"numeric_atoms","value":4431,"base":7}},"right_expr":{"type":"unary","operator":"⊜","unary_expr":{"type":"numeric_atoms","value":1401,"base":7}}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":3339,"base":7}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":3167,"base":7},"right_expr":{"type":"numeric_atoms","value":6032,"base":7}}}}},"used_operators":["MXaNJeIAZ3","XGcMNugi78","9bazX3JMtO","v0DYgG9ikt","Eev2Q7dYIw","48vC8HMD2b","8jW3W4yZS5","XAx5wpdLa6"],"dependent_operators":["DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","eLAdDNolq6","P8v4zCKN1o","7j4O788W3g","8w2t5hMYqp","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","g55IO6H4Gj","D4vGDi5EA2","P8v4zCKN1o","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW"],"result":"≴∭⊉2263200","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4431","layer":4},{"info":"compute unary expreesion, input=4431, op_id = v0DYgG9ikt, unary_op_definition = 'a⊬⫿⊭ = { ((⨑⩽⪐(≤/a))↺((⨞⊢a)⨰(↽≂188))) , if a<119 ; (((∥⊫a)⨳⩥⨓(a⨵⪆a))↺(⊄⩳↩(a⋝⋈⪟a))) , else }', output=-13293","layer":3},{"info":"number node, value=1401","layer":4},{"info":"compute unary expreesion, input=1401, op_id = Eev2Q7dYIw, unary_op_definition = 'a⊜ = { ((a≦≮≮)⨸⪁(∥⊫a)) }', output=-3868","layer":3},{"info":"compute binary expreesion, left_input=-13293, right_input=-3868, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=30848","layer":2},{"info":"number node, value=3339","layer":4},{"info":"compute unary expreesion, input=3339, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"number node, value=3167","layer":4},{"info":"number node, value=6032","layer":4},{"info":"compute binary expreesion, left_input=3167, right_input=6032, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=nan, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=31605","layer":2},{"info":"compute binary expreesion, left_input=30848, right_input=31605, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=31605","layer":1},{"info":"compute unary expreesion, input=31605, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=284445","layer":0}],"base":7,"result_base":7,"text":"↡((≴∭⊉15630⊬⫿⊭)↹⊜(≴∭⊉4041⊜))⫞⩸⩒((↯⪼≴∭⊉12510)⫘(≴∭⊉12143⪭≯≴∭⊉23405))=≴∭⊉2263200","reverse_text":"≴∭⊉2263200=↡((≴∭⊉15630⊬⫿⊭)↹⊜(≴∭⊉4041⊜))⫞⩸⩒((↯⪼≴∭⊉12510)⫘(≴∭⊉12143⪭≯≴∭⊉23405))","cot":[{"info":"≴∭⊉15630⊬⫿⊭=≴∭⊉-53520","layer":3},{"info":"≴∭⊉4041⊜=≴∭⊉-14164","layer":3},{"info":"≴∭⊉-53520↹⊜≴∭⊉-14164=≴∭⊉155636","layer":2},{"info":"↯⪼≴∭⊉12510=≴∭⊉-30","layer":3},{"info":"≴∭⊉12143⪭≯≴∭⊉23405=NaN","layer":3},{"info":"≴∭⊉-30⫘NaN=≴∭⊉161100","layer":2},{"info":"≴∭⊉155636⫞⩸⩒≴∭⊉161100=≴∭⊉161100","layer":1},{"info":"↡≴∭⊉161100=≴∭⊉2263200","layer":0}]}
+{"id":75,"expression_no_base_symbol":"((⇋⊎⋝($2363$⇷$1458$))⪔($7327$⊹∫⫚$1183$-(≪$3408$)))⋐⇩⊬","expression":"((⇋⊎⋝(≴∭⊉6614⇷≴∭⊉4152))⪔(≴∭⊉30235⊹∫⫚≴∭⊉3310-(≪≴∭⊉12636)))⋐⇩⊬","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":37066,"operation_count":7,"complexity_ratio":5295.142857142857,"tree":{"type":"unary","operator":"⋐⇩⊬","unary_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2363,"base":7},"right_expr":{"type":"numeric_atoms","value":1458,"base":7}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":7327,"base":7},"right_expr":{"type":"numeric_atoms","value":1183,"base":7}},"right_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"numeric_atoms","value":3408,"base":7}}}}},"used_operators":["JuuLT1NoCs","GjBEYRfMaF","CzM2PEoXns","mp7IySMOzn","rysDP5nf3Z","uWAJUKEvyW","Qtd6bqUJcN"],"dependent_operators":["mp7IySMOzn","JclMnS0uGI","ddLRYrp01A","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","dWAJyo7jo9","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2363","layer":4},{"info":"number node, value=1458","layer":4},{"info":"compute binary expreesion, left_input=2363, right_input=1458, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2916","layer":3},{"info":"compute unary expreesion, input=2916, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":2},{"info":"number node, value=7327","layer":4},{"info":"number node, value=1183","layer":4},{"info":"compute binary expreesion, left_input=7327, right_input=1183, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-20","layer":3},{"info":"number node, value=3408","layer":4},{"info":"compute unary expreesion, input=3408, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":3},{"info":"compute binary expreesion, left_input=-20, right_input=913, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-933","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-933, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = JuuLT1NoCs, unary_op_definition = 'a⋐⇩⊬ = { (a⨔⇊a) , if (a∊∟⩊189)<=582 ; (a⇷a) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((⇋⊎⋝(≴∭⊉6614⇷≴∭⊉4152))⪔(≴∭⊉30235⊹∫⫚≴∭⊉3310-(≪≴∭⊉12636)))⋐⇩⊬=NaN","reverse_text":"NaN=((⇋⊎⋝(≴∭⊉6614⇷≴∭⊉4152))⪔(≴∭⊉30235⊹∫⫚≴∭⊉3310-(≪≴∭⊉12636)))⋐⇩⊬","cot":[{"info":"≴∭⊉6614⇷≴∭⊉4152=≴∭⊉11334","layer":3},{"info":"⇋⊎⋝≴∭⊉11334=NaN","layer":2},{"info":"≴∭⊉30235⊹∫⫚≴∭⊉3310=≴∭⊉-26","layer":3},{"info":"≪≴∭⊉12636=≴∭⊉2443","layer":3},{"info":"≴∭⊉-26-≴∭⊉2443=≴∭⊉-2502","layer":2},{"info":"NaN⪔≴∭⊉-2502=NaN","layer":1},{"info":"NaN⋐⇩⊬=NaN","layer":0}]}
+{"id":76,"expression_no_base_symbol":"(⪲⇎($2203$⋝⋈⪟$5558$)⪟⇏($1001$⨼⩣$3218$))⨚⇆((≘$1673$)⪇≇⋚$3782$→⨶⪴$1634$⨔≚≋(⊢≑≆($5117$⊟⇱)))","expression":"(⪲⇎(≴∭⊉6265⋝⋈⪟≴∭⊉22130)⪟⇏(≴∭⊉2630⨼⩣≴∭⊉12245))⨚⇆((≘≴∭⊉4610)⪇≇⋚≴∭⊉14012→⨶⪴≴∭⊉4523⨔≚≋(⊢≑≆(≴∭⊉20630⊟⇱)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":721,"operation_count":11,"complexity_ratio":65.54545454545455,"tree":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2203,"base":7},"right_expr":{"type":"numeric_atoms","value":5558,"base":7}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":1001,"base":7},"right_expr":{"type":"numeric_atoms","value":3218,"base":7}}}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"numeric_atoms","value":1673,"base":7}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":3782,"base":7},"right_expr":{"type":"numeric_atoms","value":1634,"base":7}}},"right_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"unary","operator":"⊟⇱","unary_expr":{"type":"numeric_atoms","value":5117,"base":7}}}}},"used_operators":["lwHaAYXP2r","XPYlsWDdGa","GODebY97qR","2DDjHMKMc0","JxwMv5le6e","Z57zeUYC9z","3sJ7IOPOlU","tcjXMdvYtA","bF6eod5Gvf","27wFxooxGf","03sUfWo75k"],"dependent_operators":["gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","8w2t5hMYqp","9FxExcQeMw","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","IWmyXbctLI"],"result":"≴∭⊉-32040620","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2203","layer":4},{"info":"number node, value=5558","layer":4},{"info":"compute binary expreesion, left_input=2203, right_input=5558, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2203","layer":3},{"info":"number node, value=1001","layer":4},{"info":"number node, value=3218","layer":4},{"info":"compute binary expreesion, left_input=1001, right_input=3218, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2203, right_input=nan, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":2},{"info":"compute unary expreesion, input=-1, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-2","layer":1},{"info":"number node, value=1673","layer":4},{"info":"compute unary expreesion, input=1673, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=3689749","layer":3},{"info":"number node, value=3782","layer":4},{"info":"number node, value=1634","layer":4},{"info":"compute binary expreesion, left_input=3782, right_input=1634, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-4902","layer":3},{"info":"compute binary expreesion, left_input=3689749, right_input=-4902, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":2},{"info":"number node, value=5117","layer":4},{"info":"compute unary expreesion, input=5117, op_id = 03sUfWo75k, unary_op_definition = 'a⊟⇱ = { (a⪮%⊝a) }', output=10550","layer":3},{"info":"compute unary expreesion, input=10550, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=42652","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=42652, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=-343976","layer":1},{"info":"compute binary expreesion, left_input=-2, right_input=-343976, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=-2715839","layer":0}],"base":7,"result_base":7,"text":"(⪲⇎(≴∭⊉6265⋝⋈⪟≴∭⊉22130)⪟⇏(≴∭⊉2630⨼⩣≴∭⊉12245))⨚⇆((≘≴∭⊉4610)⪇≇⋚≴∭⊉14012→⨶⪴≴∭⊉4523⨔≚≋(⊢≑≆(≴∭⊉20630⊟⇱)))=≴∭⊉-32040620","reverse_text":"≴∭⊉-32040620=(⪲⇎(≴∭⊉6265⋝⋈⪟≴∭⊉22130)⪟⇏(≴∭⊉2630⨼⩣≴∭⊉12245))⨚⇆((≘≴∭⊉4610)⪇≇⋚≴∭⊉14012→⨶⪴≴∭⊉4523⨔≚≋(⊢≑≆(≴∭⊉20630⊟⇱)))","cot":[{"info":"≴∭⊉6265⋝⋈⪟≴∭⊉22130=≴∭⊉6265","layer":3},{"info":"≴∭⊉2630⨼⩣≴∭⊉12245=NaN","layer":3},{"info":"≴∭⊉6265⪟⇏NaN=≴∭⊉-1","layer":2},{"info":"⪲⇎≴∭⊉-1=≴∭⊉-2","layer":1},{"info":"≘≴∭⊉4610=≴∭⊉43235200","layer":3},{"info":"≴∭⊉14012→⨶⪴≴∭⊉4523=≴∭⊉-20202","layer":3},{"info":"≴∭⊉43235200⪇≇⋚≴∭⊉-20202=≴∭⊉0","layer":2},{"info":"≴∭⊉20630⊟⇱=≴∭⊉42521","layer":3},{"info":"⊢≑≆≴∭⊉42521=≴∭⊉235231","layer":2},{"info":"≴∭⊉0⨔≚≋≴∭⊉235231=≴∭⊉-2631563","layer":1},{"info":"≴∭⊉-2⨚⇆≴∭⊉-2631563=≴∭⊉-32040620","layer":0}]}
+{"id":77,"expression_no_base_symbol":"(⇋⊎⋝($1524$⋹⋡⊁$4666$⋳⪒$6043$⇌⫙⪟$1277$))≬⇓(((⨂⪏⇭$3995$)⋷($3628$⪎⩰))⨘)","expression":"(⇋⊎⋝(≴∭⊉4305⋹⋡⊁≴∭⊉16414⋳⪒≴∭⊉23422⇌⫙⪟≴∭⊉3503))≬⇓(((⨂⪏⇭≴∭⊉14435)⋷(≴∭⊉13402⪎⩰))⨘)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":84099,"operation_count":9,"complexity_ratio":9344.333333333334,"tree":{"type":"binary","operator":"≬⇓","left_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":1524,"base":7},"right_expr":{"type":"numeric_atoms","value":4666,"base":7}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":6043,"base":7},"right_expr":{"type":"numeric_atoms","value":1277,"base":7}}}},"right_expr":{"type":"unary","operator":"⨘","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"numeric_atoms","value":3995,"base":7}},"right_expr":{"type":"unary","operator":"⪎⩰","unary_expr":{"type":"numeric_atoms","value":3628,"base":7}}}}},"used_operators":["jWTQ2TZYIH","CzM2PEoXns","12rbrZMWeM","As8RqfVLgs","AFVx7xoS7T","ljcfZBUpm8","23Mk6UjR3U","AYdpE9sXAk","2ufhKmSs5H"],"dependent_operators":["AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","40aOVDgCDB","JL8yIekQnl","ocnLzx9CaJ","W4YGzv6Whe","t8gj7n24qd","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","DpFCA1CohY","N41Kp7NANJ","sdazOOVcIp","EBcxylXtPf","f6k1SAg4EE","COABgblf1C"],"result":"≴∭⊉-31","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1524","layer":4},{"info":"number node, value=4666","layer":4},{"info":"compute binary expreesion, left_input=1524, right_input=4666, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=5416","layer":3},{"info":"number node, value=6043","layer":4},{"info":"number node, value=1277","layer":4},{"info":"compute binary expreesion, left_input=6043, right_input=1277, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((���⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"compute binary expreesion, left_input=5416, right_input=113, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=10432","layer":2},{"info":"compute unary expreesion, input=10432, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":1},{"info":"number node, value=3995","layer":4},{"info":"compute unary expreesion, input=3995, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=11006","layer":3},{"info":"number node, value=3628","layer":4},{"info":"compute unary expreesion, input=3628, op_id = 2ufhKmSs5H, unary_op_definition = 'a⪎⩰ = { (17≋⫹) , if a>=326 and a!=597 ; (((a⪒a)⫌⩹⨱)⊭↱(⋗⩬⋾(756⪨≂a))) , else }', output=-34","layer":3},{"info":"compute binary expreesion, left_input=11006, right_input=-34, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-11074","layer":2},{"info":"compute unary expreesion, input=-11074, op_id = ljcfZBUpm8, unary_op_definition = 'a⨘ = { ((4⊢)⩼⇪↪(a⋫)) }', output=76743","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=76743, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":0}],"base":7,"result_base":7,"text":"(⇋⊎⋝(≴∭⊉4305⋹⋡⊁≴∭⊉16414⋳⪒≴∭⊉23422⇌⫙⪟≴∭⊉3503))≬⇓(((⨂⪏⇭≴∭⊉14435)⋷(≴∭⊉13402⪎⩰))⨘)=≴∭⊉-31","reverse_text":"≴∭⊉-31=(⇋⊎⋝(≴∭⊉4305⋹⋡⊁≴∭⊉16414⋳⪒≴∭⊉23422⇌⫙⪟≴∭⊉3503))≬⇓(((⨂⪏⇭≴∭⊉14435)⋷(≴∭⊉13402⪎⩰))⨘)","cot":[{"info":"≴∭⊉4305⋹⋡⊁≴∭⊉16414=≴∭⊉21535","layer":3},{"info":"≴∭⊉23422⇌⫙⪟≴∭⊉3503=≴∭⊉221","layer":3},{"info":"≴∭⊉21535⋳⪒≴∭⊉221=≴∭⊉42262","layer":2},{"info":"⇋⊎⋝≴∭⊉42262=NaN","layer":1},{"info":"⨂⪏⇭≴∭⊉14435=≴∭⊉44042","layer":3},{"info":"≴∭⊉13402⪎⩰=≴∭⊉-46","layer":3},{"info":"≴∭⊉44042⋷≴∭⊉-46=≴∭⊉-44200","layer":2},{"info":"≴∭⊉-44200⨘=≴∭⊉436512","layer":1},{"info":"NaN≬⇓≴∭⊉436512=≴∭⊉-31","layer":0}]}
+{"id":78,"expression_no_base_symbol":"((∑⇻≧$2840$)⇄(⇋⊎⋝$1768$))+⪬∐(($4472$⨓$1892$)⪘⫢$2303$⪪$1148$)⪶≀⋏((≱⇩⩕$5017$)⩒⫫(⊊≼∋$1301$))⪝($3428$⊴$5127$⊾⪯⋞($1364$⫑%∭))","expression":"((∑⇻≧≴∭⊉11165)⇄(⇋⊎⋝≴∭⊉5104))+⪬∐((≴∭⊉16016⨓≴∭⊉5342)⪘⫢≴∭⊉6500⪪≴∭⊉3230)⪶≀⋏((≱⇩⩕≴∭⊉20425)⩒⫫(⊊≼∋≴∭⊉3536))⪝(≴∭⊉12665⊴≴∭⊉20643⊾⪯⋞(≴∭⊉3656⫑%∭))","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":18689,"operation_count":15,"complexity_ratio":1245.9333333333334,"tree":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"numeric_atoms","value":2840,"base":7}},"right_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"numeric_atoms","value":1768,"base":7}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":4472,"base":7},"right_expr":{"type":"numeric_atoms","value":1892,"base":7}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":2303,"base":7},"right_expr":{"type":"numeric_atoms","value":1148,"base":7}}}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"numeric_atoms","value":5017,"base":7}},"right_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"numeric_atoms","value":1301,"base":7}}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3428,"base":7},"right_expr":{"type":"numeric_atoms","value":5127,"base":7}},"right_expr":{"type":"unary","operator":"⫑%∭","unary_expr":{"type":"numeric_atoms","value":1364,"base":7}}}}},"used_operators":["zR4jO40bMj","2GS7woTJqF","3EYGwJThht","l1M9WJ3V7u","CzM2PEoXns","oacrs7FA3X","3ViojmjbAp","xD69zh8xqp","wicAB68Tmb","KFSx94NKJn","3DZMoQKiUl","FWz7pXsQhA","HK0tfVPux8","Nsiff2A1zJ","xUx7qlDO4z"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","g55IO6H4Gj","D4vGDi5EA2","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","dWAJyo7jo9","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","FU0Cs4j7VP","JclMnS0uGI","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","B5M0gjZbta","jCPkEVoL5K","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","dWAJyo7jo9","14qkJME0vr","GODebY97qR","qWUSsah53b","XhwjNDsVaA","oZj3VtZNQx","KYD54nUTWz","nREPSIbpBE","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2840","layer":4},{"info":"compute unary expreesion, input=2840, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":3},{"info":"number node, value=1768","layer":4},{"info":"compute unary expreesion, input=1768, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-852, right_input=nan, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=nan","layer":2},{"info":"number node, value=4472","layer":4},{"info":"number node, value=1892","layer":4},{"info":"compute binary expreesion, left_input=4472, right_input=1892, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1895","layer":3},{"info":"number node, value=2303","layer":4},{"info":"number node, value=1148","layer":4},{"info":"compute binary expreesion, left_input=2303, right_input=1148, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-343842","layer":3},{"info":"compute binary expreesion, left_input=-1895, right_input=-343842, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=nan","layer":1},{"info":"number node, value=5017","layer":4},{"info":"compute unary expreesion, input=5017, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":3},{"info":"number node, value=1301","layer":4},{"info":"compute unary expreesion, input=1301, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=-447, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=-189","layer":2},{"info":"number node, value=3428","layer":4},{"info":"number node, value=5127","layer":4},{"info":"compute binary expreesion, left_input=3428, right_input=5127, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1364","layer":4},{"info":"compute unary expreesion, input=1364, op_id = xUx7qlDO4z, unary_op_definition = 'a⫑%∭ = { (((a⨟⋌⩍23)⫥∨⫟(a≀⫉a))/((a⨚141)⪟⇏(⫡⇟⇯a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-189, right_input=nan, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((∑⇻≧≴∭⊉11165)⇄(⇋⊎⋝≴∭⊉5104))+⪬∐((≴∭⊉16016⨓≴∭⊉5342)⪘⫢≴∭⊉6500⪪≴∭⊉3230)⪶≀⋏((≱⇩⩕≴∭⊉20425)⩒⫫(⊊≼∋≴∭⊉3536))⪝(≴∭⊉12665⊴≴∭⊉20643⊾⪯⋞(≴∭⊉3656⫑%∭))=NaN","reverse_text":"NaN=((∑⇻≧≴∭⊉11165)⇄(⇋⊎⋝≴∭⊉5104))+⪬∐((≴∭⊉16016⨓≴∭⊉5342)⪘⫢≴∭⊉6500⪪≴∭⊉3230)⪶≀⋏((≱⇩⩕≴∭⊉20425)⩒⫫(⊊≼∋≴∭⊉3536))⪝(≴∭⊉12665⊴≴∭⊉20643⊾⪯⋞(≴∭⊉3656⫑%∭))","cot":[{"info":"∑⇻≧≴∭⊉11165=≴∭⊉-2325","layer":3},{"info":"⇋⊎⋝≴∭⊉5104=NaN","layer":3},{"info":"≴∭⊉-2325⇄NaN=NaN","layer":2},{"info":"≴∭⊉16016⨓≴∭⊉5342=≴∭⊉-5345","layer":3},{"info":"≴∭⊉6500⪪≴∭⊉3230=≴∭⊉-2631312","layer":3},{"info":"≴∭⊉-5345⪘⫢≴∭⊉-2631312=≴∭⊉-1","layer":2},{"info":"NaN+⪬∐≴∭⊉-1=NaN","layer":1},{"info":"≱⇩⩕≴∭⊉20425=≴∭⊉221","layer":3},{"info":"⊊≼∋≴∭⊉3536=≴∭⊉-1206","layer":3},{"info":"≴∭⊉221⩒⫫≴∭⊉-1206=≴∭⊉-360","layer":2},{"info":"≴∭⊉12665⊴≴∭⊉20643=NaN","layer":3},{"info":"≴∭⊉3656⫑%∭=NaN","layer":3},{"info":"NaN⊾⪯⋞NaN=NaN","layer":2},{"info":"≴∭⊉-360⪝NaN=NaN","layer":1},{"info":"NaN⪶≀⋏NaN=NaN","layer":0}]}
+{"id":79,"expression_no_base_symbol":"((($1673$∕⩚$8966$)⊪)⨝⩣∺)⊴(($1602$⪡$2689$)⪔⊥($3271$⊭↱$1337$)⪨≂(↞≼(↨$2539$)))","expression":"(((≴∭⊉4610∕⩚≴∭⊉35066)⊪)⨝⩣∺)⊴((≴∭⊉4446⪡≴∭⊉10561)⪔⊥(≴∭⊉12352⊭↱≴∭⊉3620)⪨≂(↞≼(↨≴∭⊉10255)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":6952,"operation_count":10,"complexity_ratio":695.2,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⨝⩣∺","unary_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":1673,"base":7},"right_expr":{"type":"numeric_atoms","value":8966,"base":7}}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":1602,"base":7},"right_expr":{"type":"numeric_atoms","value":2689,"base":7}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":3271,"base":7},"right_expr":{"type":"numeric_atoms","value":1337,"base":7}}},"right_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"numeric_atoms","value":2539,"base":7}}}}},"used_operators":["Nsiff2A1zJ","ancx8kZcWl","zVYPLywUTj","z9ffQ9n5Zr","sdazOOVcIp","HJ9erzHUuu","oraRL2iQuh","COABgblf1C","DE7zCoGJt9","jiX4gk2v2Q"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","DZ8iAZOCBD","t8gj7n24qd","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","rGHVDoGpnC","oZj3VtZNQx"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1673","layer":4},{"info":"number node, value=8966","layer":4},{"info":"compute binary expreesion, left_input=1673, right_input=8966, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-1676","layer":3},{"info":"compute unary expreesion, input=-1676, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=28284598","layer":2},{"info":"compute unary expreesion, input=28284598, op_id = ancx8kZcWl, unary_op_definition = 'a⨝⩣∺ = { (-(a⊉≛↸a)) }', output=-56569196","layer":1},{"info":"number node, value=1602","layer":4},{"info":"number node, value=2689","layer":4},{"info":"compute binary expreesion, left_input=1602, right_input=2689, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"number node, value=3271","layer":4},{"info":"number node, value=1337","layer":4},{"info":"compute binary expreesion, left_input=3271, right_input=1337, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-3863","layer":3},{"info":"compute binary expreesion, left_input=107, right_input=-3863, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=692","layer":2},{"info":"number node, value=2539","layer":4},{"info":"compute unary expreesion, input=2539, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=692, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-56569196, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(((≴∭⊉4610∕⩚≴∭⊉35066)⊪)⨝⩣∺)⊴((≴∭⊉4446⪡≴∭⊉10561)⪔⊥(≴∭⊉12352⊭↱≴∭⊉3620)⪨≂(↞���(↨≴∭⊉10255)))=NaN","reverse_text":"NaN=(((≴∭⊉4610∕⩚≴∭⊉35066)⊪)⨝⩣∺)⊴((≴∭⊉4446⪡≴∭⊉10561)⪔⊥(≴∭⊉12352⊭↱≴∭⊉3620)⪨≂(↞≼(↨≴∭⊉10255)))","cot":[{"info":"≴∭⊉4610∕⩚≴∭⊉35066=≴∭⊉-4613","layer":3},{"info":"≴∭⊉-4613⊪=≴∭⊉462262246","layer":2},{"info":"≴∭⊉462262246⨝⩣∺=≴∭⊉-1254554525","layer":1},{"info":"≴∭⊉4446⪡≴∭⊉10561=≴∭⊉212","layer":3},{"info":"≴∭⊉12352⊭↱≴∭⊉3620=≴∭⊉-14156","layer":3},{"info":"≴∭⊉212⪔⊥≴∭⊉-14156=≴∭⊉2006","layer":2},{"info":"↨≴∭⊉10255=NaN","layer":3},{"info":"↞≼NaN=NaN","layer":2},{"info":"≴∭⊉2006⪨≂NaN=NaN","layer":1},{"info":"≴∭⊉-1254554525⊴NaN=NaN","layer":0}]}
+{"id":80,"expression_no_base_symbol":"(⇵⪽((⋼∭⪍$5294$)∥⊢⊲($2060$⨚$1111$)))⪍↜⋙($1040$↳≱$2045$⨪↰⇹$1305$⊲⩕⊾$6695$)⪎↠((⨡↴$8562$)⋾⨃∁$3255$⪃⊛⇣$2315$)","expression":"(⇵⪽((⋼∭⪍≴∭⊉21302)∥⊢⊲(≴∭⊉6002⨚≴∭⊉3145)))⪍↜⋙(≴∭⊉3014↳≱≴∭⊉5651⨪↰⇹≴∭⊉3543⊲⩕⊾≴∭⊉25343)⪎↠((⨡↴≴∭⊉33651)⋾⨃∁≴∭⊉12330⪃⊛⇣≴∭⊉6515)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":374102,"operation_count":12,"complexity_ratio":31175.166666666668,"tree":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"numeric_atoms","value":5294,"base":7}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":2060,"base":7},"right_expr":{"type":"numeric_atoms","value":1111,"base":7}}}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":1040,"base":7},"right_expr":{"type":"numeric_atoms","value":2045,"base":7}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":1305,"base":7},"right_expr":{"type":"numeric_atoms","value":6695,"base":7}}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"numeric_atoms","value":8562,"base":7}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":3255,"base":7},"right_expr":{"type":"numeric_atoms","value":2315,"base":7}}}}},"used_operators":["L05ObWFQCd","ZGCBLdVRRX","v1UQAVDJRr","DbCuESL50I","nREPSIbpBE","3tVxb0NHM4","tmPS8pqC7x","JwTKLfZU96","DmTXOeWf9t","212REbPD9h","liw5iZPkLH","rrgAzCduG9"],"dependent_operators":["rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","U7g4x0WXJJ","EBcxylXtPf","rGHVDoGpnC","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","BjRHVeLaeN","12rbrZMWeM","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","rJVOvQCfKK","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","W4YGzv6Whe","P8v4zCKN1o","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5294","layer":4},{"info":"compute unary expreesion, input=5294, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-19436","layer":3},{"info":"number node, value=2060","layer":4},{"info":"number node, value=1111","layer":4},{"info":"compute binary expreesion, left_input=2060, right_input=1111, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=610","layer":3},{"info":"compute binary expreesion, left_input=-19436, right_input=610, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=610","layer":2},{"info":"compute unary expreesion, input=610, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":1},{"info":"number node, value=1040","layer":4},{"info":"number node, value=2045","layer":4},{"info":"compute binary expreesion, left_input=1040, right_input=2045, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"number node, value=1305","layer":4},{"info":"number node, value=6695","layer":4},{"info":"compute binary expreesion, left_input=1305, right_input=6695, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-84460","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-84460, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=0","layer":2},{"info":"number node, value=8562","layer":4},{"info":"compute unary expreesion, input=8562, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=9611","layer":3},{"info":"number node, value=3255","layer":4},{"info":"number node, value=2315","layer":4},{"info":"compute binary expreesion, left_input=3255, right_input=2315, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=9611, right_input=1234, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=15212658","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=15212658, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=868","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=868, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(⇵⪽((⋼∭⪍≴∭⊉21302)∥⊢⊲(≴∭⊉6002⨚≴∭⊉3145)))⪍↜⋙(≴∭⊉3014↳≱≴∭⊉5651⨪↰⇹≴∭⊉3543⊲⩕⊾≴∭⊉25343)⪎↠((⨡↴≴∭⊉33651)⋾⨃∁≴∭⊉12330⪃⊛⇣≴∭⊉6515)=NaN","reverse_text":"NaN=(⇵⪽((⋼∭⪍≴∭⊉21302)∥⊢⊲(≴∭⊉6002⨚≴∭⊉3145)))⪍↜⋙(≴∭⊉3014↳≱≴∭⊉5651⨪↰⇹≴∭⊉3543⊲⩕⊾≴∭⊉25343)⪎↠((⨡↴≴∭⊉33651)⋾⨃∁≴∭⊉12330⪃⊛⇣≴∭⊉6515)","cot":[{"info":"⋼∭⪍≴∭⊉21302=≴∭⊉-110444","layer":3},{"info":"≴∭⊉6002⨚≴∭⊉3145=≴∭⊉1531","layer":3},{"info":"≴∭⊉-110444∥⊢⊲≴∭⊉1531=≴∭⊉1531","layer":2},{"info":"⇵⪽≴∭⊉1531=NaN","layer":1},{"info":"≴∭⊉3014↳≱≴∭⊉5651=≴∭⊉0","layer":3},{"info":"≴∭⊉3543⊲⩕⊾≴∭⊉25343=≴∭⊉-501145","layer":3},{"info":"≴∭⊉0⨪↰⇹≴∭⊉-501145=≴∭⊉0","layer":2},{"info":"⨡↴≴∭⊉33651=≴∭⊉40010","layer":3},{"info":"≴∭⊉12330⪃⊛⇣≴∭⊉6515=≴∭⊉3412","layer":3},{"info":"≴∭⊉40010⋾⨃∁≴∭⊉3412=≴∭⊉243206526","layer":2},{"info":"≴∭⊉0⪎↠≴∭⊉243206526=≴∭⊉2350","layer":1},{"info":"NaN⪍↜⋙≴∭⊉2350=NaN","layer":0}]}
+{"id":81,"expression_no_base_symbol":"(⨭⩧⫛(⊊≼∋($3133$⪮%⊝$3446$)))∴≳≥","expression":"(⨭⩧⫛(⊊≼∋(≴∭⊉12064⪮%⊝≴∭⊉13022)))∴≳≥","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":206441,"operation_count":4,"complexity_ratio":51610.25,"tree":{"type":"unary","operator":"∴≳≥","unary_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3133,"base":7},"right_expr":{"type":"numeric_atoms","value":3446,"base":7}}}}},"used_operators":["a3N2hFLK0J","g21JL6JxX7","FWz7pXsQhA","IWmyXbctLI"],"dependent_operators":["g55IO6H4Gj","DpFCA1CohY","xUOZtlo3hN","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","B5M0gjZbta","jCPkEVoL5K","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=3133","layer":4},{"info":"number node, value=3446","layer":4},{"info":"compute binary expreesion, left_input=3133, right_input=3446, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=6582","layer":3},{"info":"compute unary expreesion, input=6582, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=-447","layer":2},{"info":"compute unary expreesion, input=-447, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = a3N2hFLK0J, unary_op_definition = 'a∴≳≥ = { (⨞⊢a) , if (⋗⩬⋾a)==641 ; (a⨸⪁a) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(⨭⩧⫛(⊊≼∋(≴∭⊉12064⪮%⊝≴∭⊉13022)))∴≳≥=NaN","reverse_text":"NaN=(⨭⩧⫛(⊊≼∋(≴∭⊉12064⪮%⊝≴∭⊉13022)))∴≳≥","cot":[{"info":"≴∭⊉12064⪮%⊝≴∭⊉13022=≴∭⊉25122","layer":3},{"info":"⊊≼∋≴∭⊉25122=≴∭⊉-1206","layer":2},{"info":"⨭⩧⫛≴∭⊉-1206=NaN","layer":1},{"info":"NaN∴≳≥=NaN","layer":0}]}
+{"id":82,"expression_no_base_symbol":"⨩∲⋌(($6598$⨑≵⋬$6596$)↢($3262$⫡⨏$4854$)⪡($2565$⫃⨇$2170$)∥⊢⊲(⇖$2101$))","expression":"⨩∲⋌((≴∭⊉25144⨑≵⋬≴∭⊉25142)↢(≴∭⊉12340⫡⨏≴∭⊉20103)⪡(≴∭⊉10323⫃⨇≴∭⊉6220)∥⊢⊲(⇖≴∭⊉6061))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":67,"operation_count":8,"complexity_ratio":8.375,"tree":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":6598,"base":7},"right_expr":{"type":"numeric_atoms","value":6596,"base":7}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3262,"base":7},"right_expr":{"type":"numeric_atoms","value":4854,"base":7}}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":2565,"base":7},"right_expr":{"type":"numeric_atoms","value":2170,"base":7}},"right_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"numeric_atoms","value":2101,"base":7}}}}},"used_operators":["aSik1wnThz","oraRL2iQuh","WR6HLWljOP","XnXgA4xnOs","QMFrweE19q","v1UQAVDJRr","09Ly4LVMIf","tfWHHpNKUN"],"dependent_operators":["rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","EBcxylXtPf","rGHVDoGpnC","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","2DQ55sFlQl"],"result":"≴∭⊉1001","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6598","layer":4},{"info":"number node, value=6596","layer":4},{"info":"compute binary expreesion, left_input=6598, right_input=6596, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-11803","layer":3},{"info":"number node, value=3262","layer":4},{"info":"number node, value=4854","layer":4},{"info":"compute binary expreesion, left_input=3262, right_input=4854, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=26801","layer":3},{"info":"compute binary expreesion, left_input=-11803, right_input=26801, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=29996","layer":2},{"info":"number node, value=2565","layer":4},{"info":"number node, value=2170","layer":4},{"info":"compute binary expreesion, left_input=2565, right_input=2170, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-8712","layer":3},{"info":"number node, value=2101","layer":4},{"info":"compute unary expreesion, input=2101, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-8712, right_input=160, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=29996, right_input=160, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":1},{"info":"compute unary expreesion, input=107, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=344","layer":0}],"base":7,"result_base":7,"text":"⨩∲⋌((≴∭⊉25144⨑≵⋬≴∭⊉25142)↢(≴∭⊉12340⫡⨏≴∭⊉20103)⪡(≴∭⊉10323⫃⨇≴∭⊉6220)∥⊢⊲(⇖≴∭⊉6061))=≴∭⊉1001","reverse_text":"≴∭⊉1001=⨩∲⋌((≴∭⊉25144⨑≵⋬≴∭⊉25142)↢(≴∭⊉12340⫡⨏≴∭⊉20103)⪡(≴∭⊉10323⫃⨇≴∭⊉6220)∥⊢⊲(⇖≴∭⊉6061))","cot":[{"info":"≴∭⊉25144⨑≵⋬≴∭⊉25142=≴∭⊉-46261","layer":3},{"info":"≴∭⊉12340⫡⨏≴∭⊉20103=≴∭⊉141065","layer":3},{"info":"≴∭⊉-46261↢≴∭⊉141065=≴∭⊉153311","layer":2},{"info":"≴∭⊉10323⫃⨇≴∭⊉6220=≴∭⊉-34254","layer":3},{"info":"⇖≴∭⊉6061=≴∭⊉316","layer":3},{"info":"≴∭⊉-34254∥⊢⊲≴∭⊉316=≴∭⊉316","layer":2},{"info":"≴∭⊉153311⪡≴∭⊉316=≴∭⊉212","layer":1},{"info":"⨩∲⋌≴∭⊉212=≴∭⊉1001","layer":0}]}
+{"id":83,"expression_no_base_symbol":"$4460$⋥⋵⩄$1547$⩍⋽⫝̸($8092$⊨$1902$)⪪($1513$≝⊿$7909$⩨$1404$⫒⫫$1948$)⫢⨠(⪹($4367$⊹∫⫚$3995$∷))","expression":"≴∭⊉16001⋥⋵⩄≴∭⊉4340⩍⋽⫝̸(≴∭⊉32410⊨≴∭⊉5355)⪪(≴∭⊉4261≝⊿≴∭⊉32026⩨≴∭⊉4044⫒⫫≴∭⊉5452)⫢⨠(⪹(≴∭⊉15506⊹∫⫚≴∭⊉14435∷))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":102834,"operation_count":11,"complexity_ratio":9348.545454545454,"tree":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":4460,"base":7},"right_expr":{"type":"numeric_atoms","value":1547,"base":7}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":8092,"base":7},"right_expr":{"type":"numeric_atoms","value":1902,"base":7}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":1513,"base":7},"right_expr":{"type":"numeric_atoms","value":7909,"base":7}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":1404,"base":7},"right_expr":{"type":"numeric_atoms","value":1948,"base":7}}}},"right_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"unary","operator":"∷","unary_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":4367,"base":7},"right_expr":{"type":"numeric_atoms","value":3995,"base":7}}}}},"used_operators":["xlXykHWxX1","xD69zh8xqp","BiWNJpBvwn","7t3wd0Fuz7","vg4gO5BX6G","2DlMacCsIx","OKKcZfAt5B","6Ko8hGgeMq","USyYr0JgAa","nFAOW8KTqp","uWAJUKEvyW"],"dependent_operators":["KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","FU0Cs4j7VP","JclMnS0uGI","Ph9nP6C5qx","xUOZtlo3hN","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","12rbrZMWeM","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","tifHPKVTfV","D4vGDi5EA2","t8gj7n24qd","2DDjHMKMc0","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL"],"result":"≴∭⊉316","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4460","layer":4},{"info":"number node, value=1547","layer":4},{"info":"compute binary expreesion, left_input=4460, right_input=1547, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"number node, value=8092","layer":4},{"info":"number node, value=1902","layer":4},{"info":"compute binary expreesion, left_input=8092, right_input=1902, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=33399","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=33399, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=32453","layer":2},{"info":"number node, value=1513","layer":4},{"info":"number node, value=7909","layer":4},{"info":"compute binary expreesion, left_input=1513, right_input=7909, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-17864","layer":3},{"info":"number node, value=1404","layer":4},{"info":"number node, value=1948","layer":4},{"info":"compute binary expreesion, left_input=1404, right_input=1948, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-17864, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=32453, right_input=nan, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-4896492","layer":1},{"info":"number node, value=4367","layer":4},{"info":"number node, value=3995","layer":4},{"info":"compute binary expreesion, left_input=4367, right_input=3995, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-256","layer":3},{"info":"compute unary expreesion, input=-256, op_id = nFAOW8KTqp, unary_op_definition = 'a∷ = { ((-(a⋝⋈⪟a))≦≮≮) }', output=-768","layer":2},{"info":"compute unary expreesion, input=-768, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=948","layer":1},{"info":"compute binary expreesion, left_input=-4896492, right_input=948, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉16001⋥⋵⩄≴∭⊉4340⩍⋽⫝̸(≴∭⊉32410⊨≴∭⊉5355)⪪(≴∭⊉4261≝⊿≴∭⊉32026⩨≴∭⊉4044⫒⫫≴∭⊉5452)⫢⨠(⪹(≴∭⊉15506⊹∫⫚≴∭⊉14435∷))=≴∭⊉316","reverse_text":"≴∭⊉316=≴∭⊉16001⋥⋵⩄≴∭⊉4340⩍⋽⫝̸(≴∭⊉32410⊨≴∭⊉5355)⪪(≴∭⊉4261≝⊿≴∭⊉32026⩨≴∭⊉4044⫒⫫≴∭⊉5452)⫢⨠(⪹(≴∭⊉15506⊹∫⫚≴∭⊉14435∷))","cot":[{"info":"≴∭⊉16001⋥⋵⩄≴∭⊉4340=≴∭⊉221","layer":3},{"info":"≴∭⊉32410⊨≴∭⊉5355=≴∭⊉166242","layer":3},{"info":"≴∭⊉221⩍⋽⫝̸≴∭⊉166242=≴∭⊉163421","layer":2},{"info":"≴∭⊉4261≝⊿≴∭⊉32026=≴∭⊉-103040","layer":3},{"info":"≴∭⊉4044⫒⫫≴∭⊉5452=NaN","layer":3},{"info":"≴∭⊉-103040⩨NaN=NaN","layer":2},{"info":"≴∭⊉163421⪪NaN=≴∭⊉-56422326","layer":1},{"info":"≴∭⊉15506⊹∫⫚≴∭⊉14435=≴∭⊉-514","layer":3},{"info":"≴∭⊉-514∷=≴∭⊉-2145","layer":2},{"info":"⪹≴∭⊉-2145=≴∭⊉2523","layer":1},{"info":"≴∭⊉-56422326⫢⨠≴∭⊉2523=≴∭⊉316","layer":0}]}
+{"id":84,"expression_no_base_symbol":"((($2397$-$1367$)+⇶⊼(⊥$4107$))⇗⋫)⫥∨⫟(⫎≠⋺(⊙↵-($3001$∑⇟⊟$2033$)))","expression":"(((≴∭⊉6663-≴∭⊉3662)+⇶⊼(⊥≴∭⊉14655))⇗⋫)⫥∨⫟(⫎≠⋺(⊙↵-(≴∭⊉11515∑⇟⊟≴∭⊉5633)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":200,"operation_count":8,"complexity_ratio":25.0,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⇗⋫","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2397,"base":7},"right_expr":{"type":"numeric_atoms","value":1367,"base":7}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":4107,"base":7}}}},"right_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3001,"base":7},"right_expr":{"type":"numeric_atoms","value":2033,"base":7}}}}},"used_operators":["KYD54nUTWz","hpqmaQFPrd","TpPTUOHfaN","rysDP5nf3Z","Q3PJZHRvZv","LYeZOJ0nQG","oWn0xqSxBt","U7g4x0WXJJ"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","rxpJgHHUmx","AHs5Up7iyr","fu6greOZ01","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=2397","layer":4},{"info":"number node, value=1367","layer":4},{"info":"compute binary expreesion, left_input=2397, right_input=1367, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1030","layer":3},{"info":"number node, value=4107","layer":4},{"info":"compute unary expreesion, input=4107, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1030, right_input=nan, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = hpqmaQFPrd, unary_op_definition = 'a⇗⋫ = { (a≭a) }', output=nan","layer":1},{"info":"number node, value=3001","layer":4},{"info":"number node, value=2033","layer":4},{"info":"compute binary expreesion, left_input=3001, right_input=2033, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(((≴∭⊉6663-≴∭⊉3662)+⇶⊼(⊥≴∭⊉14655))⇗⋫)⫥∨⫟(⫎≠⋺(⊙↵-(≴∭⊉11515∑⇟⊟≴∭⊉5633)))=NaN","reverse_text":"NaN=(((≴∭⊉6663-≴∭⊉3662)+⇶⊼(⊥≴∭⊉14655))⇗⋫)⫥∨⫟(⫎≠⋺(⊙↵-(≴∭⊉11515∑⇟⊟≴∭⊉5633)))","cot":[{"info":"≴∭⊉6663-≴∭⊉3662=≴∭⊉3001","layer":3},{"info":"⊥≴∭⊉14655=NaN","layer":3},{"info":"≴∭⊉3001+⇶⊼NaN=NaN","layer":2},{"info":"NaN⇗⋫=NaN","layer":1},{"info":"≴∭⊉11515∑⇟⊟≴∭⊉5633=NaN","layer":3},{"info":"⊙↵-NaN=NaN","layer":2},{"info":"⫎≠⋺NaN=NaN","layer":1},{"info":"NaN⫥∨⫟NaN=NaN","layer":0}]}
+{"id":85,"expression_no_base_symbol":"((↩⪖($9177$⩁))⩵∡($1222$↺$3248$)⨻⩈⩔$4389$⨟⋌⩍$2625$)∝(($1456$∖$3528$)⪹)↬(≅≯⇸$1563$≓∲$1058$)","expression":"((↩⪖(≴∭⊉35520⩁))⩵∡(≴∭⊉3364↺≴∭⊉12320)⨻⩈⩔≴∭⊉15540⨟⋌⩍≴∭⊉10440)∝((≴∭⊉4150∖≴∭⊉13200)⪹)↬(≅≯⇸≴∭⊉4362≓∲≴∭⊉3041)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":695,"operation_count":12,"complexity_ratio":57.916666666666664,"tree":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"unary","operator":"⩁","unary_expr":{"type":"numeric_atoms","value":9177,"base":7}}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1222,"base":7},"right_expr":{"type":"numeric_atoms","value":3248,"base":7}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":4389,"base":7},"right_expr":{"type":"numeric_atoms","value":2625,"base":7}}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":1456,"base":7},"right_expr":{"type":"numeric_atoms","value":3528,"base":7}}},"right_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":1563,"base":7},"right_expr":{"type":"numeric_atoms","value":1058,"base":7}}}}},"used_operators":["cTDWOvIxvz","Y7wcNGrDQJ","fG6uBQFnGz","5GqDbVmqXU","nEsXyWgiOK","7j4O788W3g","rGHVDoGpnC","B5M0gjZbta","B3sABdIn96","tXD093vOjl","apS25hmuAe","s1XTVnmDOJ"],"dependent_operators":["7j4O788W3g","W4YGzv6Whe","COABgblf1C","NTOWxs364D","glklzrTFfD","tifHPKVTfV","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","7j4O788W3g","jLgFTUHLKL","8cLx32lpNA","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","rGHVDoGpnC","9FxExcQeMw","e1ybzncUwg","QMFrweE19q","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","EBcxylXtPf","QMFrweE19q","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=9177","layer":4},{"info":"compute unary expreesion, input=9177, op_id = 5GqDbVmqXU, unary_op_definition = 'a⩁ = { ((↩a)∌(a↺a)) }', output=-70636","layer":3},{"info":"compute unary expreesion, input=-70636, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=986710","layer":2},{"info":"number node, value=1222","layer":4},{"info":"number node, value=3248","layer":4},{"info":"compute binary expreesion, left_input=1222, right_input=3248, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3248","layer":3},{"info":"number node, value=4389","layer":4},{"info":"number node, value=2625","layer":4},{"info":"compute binary expreesion, left_input=4389, right_input=2625, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3248, right_input=nan, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=17583","layer":2},{"info":"compute binary expreesion, left_input=986710, right_input=17583, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-1955958","layer":1},{"info":"number node, value=1456","layer":4},{"info":"number node, value=3528","layer":4},{"info":"compute binary expreesion, left_input=1456, right_input=3528, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = B3sABdIn96, unary_op_definition = 'a⪹ = { ((402⫡⨏a)⩷∴(≉a)) }', output=4492","layer":2},{"info":"number node, value=1563","layer":4},{"info":"number node, value=1058","layer":4},{"info":"compute binary expreesion, left_input=1563, right_input=1058, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=16413","layer":3},{"info":"compute unary expreesion, input=16413, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=73329","layer":2},{"info":"compute binary expreesion, left_input=4492, right_input=73329, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-1955958, right_input=nan, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((↩⪖(≴∭⊉35520⩁))⩵∡(≴∭⊉3364↺≴∭⊉12320)⨻⩈⩔≴∭⊉15540⨟⋌⩍≴∭⊉10440)∝((≴∭⊉4150∖≴∭⊉13200)⪹)↬(≅≯⇸≴∭⊉4362≓∲≴∭⊉3041)=NaN","reverse_text":"NaN=((↩⪖(≴∭⊉35520⩁))��∡(≴∭⊉3364↺≴∭⊉12320)⨻⩈⩔≴∭⊉15540⨟⋌⩍≴∭⊉10440)∝((≴∭⊉4150∖≴∭⊉13200)⪹)↬(≅≯⇸≴∭⊉4362≓∲≴∭⊉3041)","cot":[{"info":"≴∭⊉35520⩁=≴∭⊉-412636","layer":3},{"info":"↩⪖≴∭⊉-412636=≴∭⊉11246464","layer":2},{"info":"≴∭⊉3364↺≴∭⊉12320=≴∭⊉12320","layer":3},{"info":"≴∭⊉15540⨟⋌⩍≴∭⊉10440=NaN","layer":3},{"info":"≴∭⊉12320⨻⩈⩔NaN=≴∭⊉102156","layer":2},{"info":"≴∭⊉11246464⩵∡≴∭⊉102156=≴∭⊉-22424334","layer":1},{"info":"≴∭⊉4150∖≴∭⊉13200=≴∭⊉0","layer":3},{"info":"≴∭⊉0⪹=≴∭⊉16045","layer":2},{"info":"≴∭⊉4362≓∲≴∭⊉3041=≴∭⊉65565","layer":3},{"info":"≅≯⇸≴∭⊉65565=≴∭⊉423534","layer":2},{"info":"≴∭⊉16045↬≴∭⊉423534=NaN","layer":1},{"info":"≴∭⊉-22424334∝NaN=NaN","layer":0}]}
+{"id":86,"expression_no_base_symbol":"(($1885$↑)∪⫐$1212$⫃⨇$3298$)⊋(($2126$⊭∹↮)⩵∡$4352$⊋$1192$)↼⊘⨖(($6114$≒∊$1856$/$1206$≎⊠⪸$4383$)⨓($4088$∣$8384$)∋($1111$⪡$1427$))","expression":"((≴∭⊉5332↑)∪⫐≴∭⊉3351⫃⨇≴∭⊉12421)⊋((≴∭⊉6125⊭∹↮)⩵∡≴∭⊉15455⊋≴∭⊉3322)↼⊘⨖((≴∭⊉23553≒∊≴∭⊉5261/≴∭⊉3342≎⊠⪸≴∭⊉15531)⨓(≴∭⊉14630∣≴∭⊉33305)∋(≴∭⊉3145⪡≴∭⊉4106))","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":57258806,"operation_count":15,"complexity_ratio":3817253.7333333334,"tree":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"numeric_atoms","value":1885,"base":7}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":1212,"base":7},"right_expr":{"type":"numeric_atoms","value":3298,"base":7}}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":2126,"base":7}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":4352,"base":7},"right_expr":{"type":"numeric_atoms","value":1192,"base":7}}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":6114,"base":7},"right_expr":{"type":"numeric_atoms","value":1856,"base":7}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1206,"base":7},"right_expr":{"type":"numeric_atoms","value":4383,"base":7}}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":4088,"base":7},"right_expr":{"type":"numeric_atoms","value":8384,"base":7}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":1111,"base":7},"right_expr":{"type":"numeric_atoms","value":1427,"base":7}}}}},"used_operators":["bPywburJMS","W4tP9CfskL","7YooWSwCyH","BThhyOhh10","09Ly4LVMIf","Y7wcNGrDQJ","xNBdhnnwKq","3ViojmjbAp","XhwjNDsVaA","5KTvxBwnZo","bJkvcejdHO","ukq6epAj5P","PPChnnnBFF","oraRL2iQuh"],"dependent_operators":["9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","rJVOvQCfKK","2DDjHMKMc0","i8ToyICDmI","3EYGwJThht","xNBdhnnwKq","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","NTOWxs364D","glklzrTFfD","tifHPKVTfV","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R"],"result":"≴∭⊉-6320645","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1885","layer":4},{"info":"compute unary expreesion, input=1885, op_id = BThhyOhh10, unary_op_definition = 'a↑ = { ((a∲⫓a)⇄(262⊭∹↮)) }', output=222","layer":3},{"info":"number node, value=1212","layer":4},{"info":"number node, value=3298","layer":4},{"info":"compute binary expreesion, left_input=1212, right_input=3298, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-13224","layer":3},{"info":"compute binary expreesion, left_input=222, right_input=-13224, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=222","layer":2},{"info":"number node, value=2126","layer":4},{"info":"compute unary expreesion, input=2126, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=4252","layer":3},{"info":"number node, value=4352","layer":4},{"info":"number node, value=1192","layer":4},{"info":"compute binary expreesion, left_input=4352, right_input=1192, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=28445508","layer":3},{"info":"compute binary expreesion, left_input=4252, right_input=28445508, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=28436883","layer":2},{"info":"compute binary expreesion, left_input=222, right_input=28436883, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=-inf","layer":1},{"info":"number node, value=6114","layer":4},{"info":"number node, value=1856","layer":4},{"info":"compute binary expreesion, left_input=6114, right_input=1856, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-5630","layer":3},{"info":"number node, value=1206","layer":4},{"info":"number node, value=4383","layer":4},{"info":"compute binary expreesion, left_input=1206, right_input=4383, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=311881","layer":3},{"info":"compute binary expreesion, left_input=-5630, right_input=311881, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-1","layer":2},{"info":"number node, value=4088","layer":4},{"info":"number node, value=8384","layer":4},{"info":"compute binary expreesion, left_input=4088, right_input=8384, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=4088","layer":3},{"info":"number node, value=1111","layer":4},{"info":"number node, value=1427","layer":4},{"info":"compute binary expreesion, left_input=1111, right_input=1427, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"compute binary expreesion, left_input=4088, right_input=107, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=380608","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=380608, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-380611","layer":1},{"info":"compute binary expreesion, left_input=-inf, right_input=-380611, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=-761444","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉5332↑)∪⫐≴∭⊉3351⫃⨇≴∭⊉12421)⊋((≴∭⊉6125⊭∹↮)⩵∡≴∭⊉15455⊋≴∭⊉3322)↼⊘⨖((≴∭⊉23553≒∊≴∭⊉5261/≴∭⊉3342≎⊠⪸≴∭⊉15531)⨓(≴∭⊉14630∣≴∭⊉33305)∋(≴∭⊉3145⪡≴∭⊉4106))=≴∭⊉-6320645","reverse_text":"≴∭⊉-6320645=((≴∭⊉5332↑)∪⫐≴∭⊉3351⫃⨇≴∭⊉12421)⊋((≴∭⊉6125⊭∹↮)⩵∡≴∭⊉15455⊋≴∭⊉3322)↼⊘⨖((≴∭⊉23553≒∊≴∭⊉5261/≴∭⊉3342≎⊠⪸≴∭⊉15531)⨓(≴∭⊉14630∣≴∭⊉33305)∋(≴∭⊉3145⪡≴∭⊉4106))","cot":[{"info":"≴∭⊉5332↑=≴∭⊉435","layer":3},{"info":"≴∭⊉3351⫃⨇≴∭⊉12421=≴∭⊉-53361","layer":3},{"info":"≴∭⊉435∪⫐≴∭⊉-53361=≴∭⊉435","layer":2},{"info":"≴∭⊉6125⊭∹↮=≴∭⊉15253","layer":3},{"info":"≴∭⊉15455⊋≴∭⊉3322=≴∭⊉463532340","layer":3},{"info":"≴∭⊉15253⩵∡≴∭⊉463532340=≴∭⊉463465236","layer":2},{"info":"≴∭⊉435⊋≴∭⊉463465236=-Inf","layer":1},{"info":"≴∭⊉23553≒∊≴∭⊉5261=≴∭⊉-22262","layer":3},{"info":"≴∭⊉3342≎⊠⪸≴∭⊉15531=≴∭⊉2436163","layer":3},{"info":"≴∭⊉-22262/≴∭⊉2436163=≴∭⊉-1","layer":2},{"info":"≴∭⊉14630∣≴∭⊉33305=≴∭⊉14630","layer":3},{"info":"≴∭⊉3145⪡≴∭⊉4106=≴∭⊉212","layer":3},{"info":"≴∭⊉14630∋≴∭⊉212=≴∭⊉3143434","layer":2},{"info":"≴∭⊉-1⨓≴∭⊉3143434=≴∭⊉-3143440","layer":1},{"info":"-Inf↼⊘⨖≴∭⊉-3143440=≴∭⊉-6320645","layer":0}]}
+{"id":87,"expression_no_base_symbol":"⩎⋉($1098$∘$7062$⇡)⊕∕($1772$⨂≜$3297$)⇡⇂(⩪∧⨌$4666$)","expression":"⩎⋉(≴∭⊉3126∘≴∭⊉26406⇡)⊕∕(≴∭⊉5111⨂≜≴∭⊉12420)⇡⇂(⩪∧⨌≴∭⊉16414)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":298322,"operation_count":7,"complexity_ratio":42617.42857142857,"tree":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"unary","operator":"⇡","unary_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":1098,"base":7},"right_expr":{"type":"numeric_atoms","value":7062,"base":7}}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":1772,"base":7},"right_expr":{"type":"numeric_atoms","value":3297,"base":7}},"right_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"numeric_atoms","value":4666,"base":7}}}}},"used_operators":["FlXk3pOYe8","9cloC0Ngie","UqFzSgLMvQ","Z5m6OM72h2","UMwdvZNt44","k1SHOSEABc","6iOiAJX1F8"],"dependent_operators":["KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","3sJ7IOPOlU","sJAwomhLZr","4JB6nKBMSY","k2HlF1dBQh","BiWNJpBvwn","YSKBFp38Pu","eH2TOUuTDT","rysDP5nf3Z","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj"],"result":"≴∭⊉4545","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1098","layer":4},{"info":"number node, value=7062","layer":4},{"info":"compute binary expreesion, left_input=1098, right_input=7062, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=2196","layer":3},{"info":"compute unary expreesion, input=2196, op_id = UqFzSgLMvQ, unary_op_definition = 'a⇡ = { (((a⇴a)⪇≇⋚(∤27))⇤((a⩍⋽⫝̸27)⩠)) }', output=-2917","layer":2},{"info":"number node, value=1772","layer":4},{"info":"number node, value=3297","layer":4},{"info":"compute binary expreesion, left_input=1772, right_input=3297, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"number node, value=4666","layer":4},{"info":"compute unary expreesion, input=4666, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=46660","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=46660, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-2917, right_input=nan, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=-2917","layer":1},{"info":"compute unary expreesion, input=-2917, op_id = FlXk3pOYe8, unary_op_definition = '⩎⋉a = { (((a/a)∲⫓(≛a))∴((a⩨a)⨳⩥⨓(⊄⩳↩a))) , if (a⩇∃⫛268)<=24 or a==244 or (↩⪖a)>=4 ; (((a⨔⇊a)∠↢(↸⊣a))≚⊃≕((≦∁a)⨐461)) , else }', output=1650","layer":0}],"base":7,"result_base":7,"text":"⩎⋉(≴∭⊉3126∘≴∭⊉26406⇡)⊕∕(≴∭⊉5111⨂≜≴∭⊉12420)⇡⇂(⩪∧⨌≴∭⊉16414)=≴∭⊉4545","reverse_text":"≴∭⊉4545=⩎⋉(≴∭⊉3126∘≴∭⊉26406⇡)⊕∕(≴∭⊉5111⨂≜≴∭⊉12420)⇡⇂(⩪∧⨌≴∭⊉16414)","cot":[{"info":"≴∭⊉3126∘≴∭⊉26406=≴∭⊉6255","layer":3},{"info":"≴∭⊉6255⇡=≴∭⊉-11335","layer":2},{"info":"≴∭⊉5111⨂≜≴∭⊉12420=NaN","layer":3},{"info":"⩪∧⨌≴∭⊉16414=≴∭⊉253015","layer":3},{"info":"NaN⇡⇂≴∭⊉253015=NaN","layer":2},{"info":"≴∭⊉-11335⊕∕NaN=≴∭⊉-11335","layer":1},{"info":"⩎⋉≴∭⊉-11335=≴∭⊉4545","layer":0}]}
+{"id":88,"expression_no_base_symbol":"(⊗($1339$⇡⇂$7333$)⪬($4019$↼⊘⨖$2265$))⩚⊴⇥((⊲⪭$1288$)⊝⪿⪼(⫟$3398$)⋖∅⋲)","expression":"(⊗(≴∭⊉3622⇡⇂≴∭⊉30244)⪬(≴∭⊉14501↼⊘⨖≴∭⊉6414))⩚⊴⇥((⊲⪭≴∭⊉3520)⊝⪿⪼(⫟≴∭⊉12623)⋖∅⋲)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":42674,"operation_count":9,"complexity_ratio":4741.555555555556,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":1339,"base":7},"right_expr":{"type":"numeric_atoms","value":7333,"base":7}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":4019,"base":7},"right_expr":{"type":"numeric_atoms","value":2265,"base":7}}}},"right_expr":{"type":"unary","operator":"⋖∅⋲","unary_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"numeric_atoms","value":1288,"base":7}},"right_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"numeric_atoms","value":3398,"base":7}}}}},"used_operators":["NTOWxs364D","RhiyfpczSx","Ez1Nq5fNfI","UMwdvZNt44","bPywburJMS","L95AwlJzhO","3Oe9XWJUTD","k7HXdKtiEU","z4E1FaHLuy"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","gx7XJ7hdpj","3nqY3DE9mg","XTarYq4gQB","y4ImoPnbV5","i8ToyICDmI","xNBdhnnwKq","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","i8ToyICDmI","xUOZtlo3hN","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q"],"result":"≴∭⊉3200023","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1339","layer":4},{"info":"number node, value=7333","layer":4},{"info":"compute binary expreesion, left_input=1339, right_input=7333, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"number node, value=4019","layer":4},{"info":"number node, value=2265","layer":4},{"info":"compute binary expreesion, left_input=4019, right_input=2265, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=4308","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4308, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"compute unary expreesion, input=1234, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-2468","layer":1},{"info":"number node, value=1288","layer":4},{"info":"compute unary expreesion, input=1288, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-1462","layer":3},{"info":"number node, value=3398","layer":4},{"info":"compute unary expreesion, input=3398, op_id = z4E1FaHLuy, unary_op_definition = '⫟a = { (((-a)⪨≂(a⨸⪁a))≧⫂∧((a⩷∴a)⨰(a⫡⨏a))) , if (a⫌⩹⨱)>=11 ; (((a+263)⋝⋈⪟(a⨳⩥⨓a))⪒((a⋥≓≎a)⫩⊇)) , else }', output=-9287","layer":3},{"info":"compute binary expreesion, left_input=-1462, right_input=-9287, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=9412","layer":2},{"info":"compute unary expreesion, input=9412, op_id = L95AwlJzhO, unary_op_definition = 'a⋖∅⋲ = { ((⪝⪂⫅431)⊍) , if (a∲⫓500)>7 ; ((a∽304)⫸⇳(a⊭∹↮)) , else }', output=-384231","layer":1},{"info":"compute binary expreesion, left_input=-2468, right_input=-384231, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=386578","layer":0}],"base":7,"result_base":7,"text":"(⊗(≴∭⊉3622⇡⇂≴∭⊉30244)⪬(≴∭⊉14501↼⊘⨖≴∭⊉6414))⩚⊴⇥((⊲⪭≴∭⊉3520)⊝⪿⪼(⫟≴∭⊉12623)⋖∅⋲)=≴∭⊉3200023","reverse_text":"≴∭⊉3200023=(⊗(≴∭⊉3622⇡⇂≴∭⊉30244)⪬(≴∭⊉14501↼⊘⨖≴∭⊉6414))⩚⊴⇥((⊲⪭≴∭⊉3520)⊝⪿⪼(⫟≴∭⊉12623)⋖∅⋲)","cot":[{"info":"≴∭⊉3622⇡⇂≴∭⊉30244=NaN","layer":3},{"info":"≴∭⊉14501↼⊘⨖≴∭⊉6414=≴∭⊉15363","layer":3},{"info":"NaN⪬≴∭⊉15363=≴∭⊉3412","layer":2},{"info":"⊗≴∭⊉3412=≴∭⊉-10124","layer":1},{"info":"⊲⪭≴∭⊉3520=≴∭⊉-4156","layer":3},{"info":"⫟≴∭⊉12623=≴∭⊉-36035","layer":3},{"info":"≴∭⊉-4156⊝⪿⪼≴∭⊉-36035=≴∭⊉36304","layer":2},{"info":"≴∭⊉36304⋖∅⋲=≴∭⊉-3160131","layer":1},{"info":"≴∭⊉-10124⩚⊴⇥≴∭⊉-3160131=≴∭⊉3200023","layer":0}]}
+{"id":89,"expression_no_base_symbol":"($6630$⪛$1155$⇼⇔∾$4827$⪒⊣⊆$1817$)⨜⨶(⊙↵-$1020$≚⊃≕$4228$)∙⊟(((⊖∈$2754$)⋐⇩⊬)⨉)","expression":"(≴∭⊉25221⪛≴∭⊉3240⇼⇔∾≴∭⊉20034⪒⊣⊆≴∭⊉5204)⨜⨶(⊙↵-≴∭⊉2655≚⊃≕≴∭⊉15220)∙⊟(((⊖∈≴∭⊉11013)⋐⇩⊬)⨉)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":153796,"operation_count":10,"complexity_ratio":15379.6,"tree":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":6630,"base":7},"right_expr":{"type":"numeric_atoms","value":1155,"base":7}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":4827,"base":7},"right_expr":{"type":"numeric_atoms","value":1817,"base":7}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":1020,"base":7},"right_expr":{"type":"numeric_atoms","value":4228,"base":7}}}},"right_expr":{"type":"unary","operator":"⨉","unary_expr":{"type":"unary","operator":"⋐⇩⊬","unary_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"numeric_atoms","value":2754,"base":7}}}}},"used_operators":["SxTAKzQCrw","HiPekx5b7W","tifHPKVTfV","uFcxV4UQCh","eRqsBgTDFp","oWn0xqSxBt","Bmrmz2XGnR","aMUSaJuDRU","JuuLT1NoCs","YFxL8Sc2Zy"],"dependent_operators":["6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","sdazOOVcIp","W4YGzv6Whe","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","tmPS8pqC7x","g55IO6H4Gj","qWUSsah53b","mp7IySMOzn","JclMnS0uGI","ddLRYrp01A","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu"],"result":"≴∭⊉13010565","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6630","layer":4},{"info":"number node, value=1155","layer":4},{"info":"compute binary expreesion, left_input=6630, right_input=1155, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=855","layer":3},{"info":"number node, value=4827","layer":4},{"info":"number node, value=1817","layer":4},{"info":"compute binary expreesion, left_input=4827, right_input=1817, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=9654","layer":3},{"info":"compute binary expreesion, left_input=855, right_input=9654, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=8799","layer":2},{"info":"number node, value=1020","layer":4},{"info":"number node, value=4228","layer":4},{"info":"compute binary expreesion, left_input=1020, right_input=4228, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=-14140","layer":3},{"info":"compute unary expreesion, input=-14140, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=196","layer":2},{"info":"compute binary expreesion, left_input=8799, right_input=196, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=89949","layer":1},{"info":"number node, value=2754","layer":4},{"info":"compute unary expreesion, input=2754, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=49486","layer":3},{"info":"compute unary expreesion, input=49486, op_id = JuuLT1NoCs, unary_op_definition = 'a⋐⇩⊬ = { (a⨔⇊a) , if (a∊∟⩊189)<=582 ; (a⇷a) , else }', output=49486","layer":2},{"info":"compute unary expreesion, input=49486, op_id = aMUSaJuDRU, unary_op_definition = 'a⨉ = { ((⫡⇟⇯148)⨸⪁(a⨪↰⇹a)) }', output=101300","layer":1},{"info":"compute binary expreesion, left_input=89949, right_input=101300, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=1179183","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉25221⪛≴∭⊉3240⇼⇔∾≴∭⊉20034⪒⊣⊆≴∭⊉5204)⨜⨶(⊙↵-≴∭⊉2655≚⊃≕≴∭⊉15220)∙⊟(((⊖∈≴∭⊉11013)⋐⇩⊬)⨉)=≴∭⊉13010565","reverse_text":"≴∭⊉13010565=(≴∭⊉25221⪛≴∭⊉3240⇼⇔∾≴∭⊉20034⪒⊣⊆≴∭⊉5204)⨜⨶(⊙↵-≴∭⊉2655≚⊃≕≴∭⊉15220)∙⊟(((⊖∈≴∭⊉11013)⋐⇩⊬)⨉)","cot":[{"info":"≴∭⊉25221⪛≴∭⊉3240=≴∭⊉2331","layer":3},{"info":"≴∭⊉20034⪒⊣⊆≴∭⊉5204=≴∭⊉40101","layer":3},{"info":"≴∭⊉2331⇼⇔∾≴∭⊉40101=≴∭⊉34440","layer":2},{"info":"≴∭⊉2655≚⊃≕≴∭⊉15220=≴∭⊉-56140","layer":3},{"info":"⊙↵-≴∭⊉-56140=≴∭⊉400","layer":2},{"info":"≴∭⊉34440⨜⨶≴∭⊉400=≴∭⊉523146","layer":1},{"info":"⊖∈≴∭⊉11013=≴∭⊉264163","layer":3},{"info":"≴∭⊉264163⋐⇩⊬=≴∭⊉264163","layer":2},{"info":"≴∭⊉264163⨉=≴∭⊉601223","layer":1},{"info":"≴∭⊉523146∙⊟≴∭⊉601223=≴∭⊉13010565","layer":0}]}
+{"id":90,"expression_no_base_symbol":"(($2101$≚⋢)↓⨍⋜)≝⊿(($1401$⨹)⫌⩹⨱)⊨(⊆⋠((⊖$4039$)→⨶⪴($1814$⩘$4776$)))","expression":"((≴∭⊉6061≚⋢)↓⨍⋜)≝⊿((≴∭⊉4041⨹)⫌⩹⨱)⊨(⊆⋠((⊖≴∭⊉14530)→⨶⪴(≴∭⊉5201⩘≴∭⊉16632)))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3810,"operation_count":10,"complexity_ratio":381.0,"tree":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"unary","operator":"↓⨍⋜","unary_expr":{"type":"unary","operator":"≚⋢","unary_expr":{"type":"numeric_atoms","value":2101,"base":7}}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"unary","operator":"⨹","unary_expr":{"type":"numeric_atoms","value":1401,"base":7}}}},"right_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"numeric_atoms","value":4039,"base":7}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":1814,"base":7},"right_expr":{"type":"numeric_atoms","value":4776,"base":7}}}}},"used_operators":["vg4gO5BX6G","OKKcZfAt5B","3DVzLFNsE9","MahUMFw56D","EBcxylXtPf","UnCoSGIALn","EBhcHTkKd8","bF6eod5Gvf","U6pG0PXrV3","cHh1gJQ2o6"],"dependent_operators":["NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","12rbrZMWeM","OKKcZfAt5B","zR4jO40bMj","XnXgA4xnOs","o20kRiQErp","7t3wd0Fuz7","Z5m6OM72h2","3ViojmjbAp","W4YGzv6Whe","rysDP5nf3Z","mp7IySMOzn","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","8w2t5hMYqp","9FxExcQeMw","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o"],"result":"≴∭⊉-336","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2101","layer":4},{"info":"compute unary expreesion, input=2101, op_id = MahUMFw56D, unary_op_definition = 'a≚⋢ = { (a⨓86) }', output=-89","layer":3},{"info":"compute unary expreesion, input=-89, op_id = 3DVzLFNsE9, unary_op_definition = 'a↓⨍⋜ = { (((a≝⊿a)⪶≀⋏(a∸))⨑≵⋬((a⋥⋵⩄a)∘(a⪶≀⋏a))) }', output=6590","layer":2},{"info":"number node, value=1401","layer":4},{"info":"compute unary expreesion, input=1401, op_id = UnCoSGIALn, unary_op_definition = 'a⨹ = { (229⇷a) }', output=2802","layer":3},{"info":"compute unary expreesion, input=2802, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=7005","layer":2},{"info":"compute binary expreesion, left_input=6590, right_input=7005, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-21133","layer":1},{"info":"number node, value=4039","layer":4},{"info":"compute unary expreesion, input=4039, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":3},{"info":"number node, value=1814","layer":4},{"info":"number node, value=4776","layer":4},{"info":"compute binary expreesion, left_input=1814, right_input=4776, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=160, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-480","layer":2},{"info":"compute unary expreesion, input=-480, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=-57361","layer":1},{"info":"compute binary expreesion, left_input=-21133, right_input=-57361, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=-174","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉6061≚⋢)↓⨍⋜)≝⊿((≴∭⊉4041⨹)⫌⩹⨱)⊨(⊆⋠((⊖≴∭⊉14530)→⨶⪴(≴∭⊉5201⩘≴∭⊉16632)))=≴∭⊉-336","reverse_text":"≴∭⊉-336=((≴∭⊉6061≚⋢)↓⨍⋜)≝⊿((≴∭⊉4041⨹)⫌⩹⨱)⊨(⊆⋠((⊖≴∭⊉14530)→⨶⪴(≴∭⊉5201⩘≴∭⊉16632)))","cot":[{"info":"≴∭⊉6061≚⋢=≴∭⊉-155","layer":3},{"info":"≴∭⊉-155↓⨍⋜=≴∭⊉25133","layer":2},{"info":"≴∭⊉4041⨹=≴∭⊉11112","layer":3},{"info":"≴∭⊉11112⫌⩹⨱=≴∭⊉26265","layer":2},{"info":"≴∭⊉25133≝⊿≴∭⊉26265=≴∭⊉-115420","layer":1},{"info":"⊖≴∭⊉14530=≴∭⊉0","layer":3},{"info":"≴∭⊉5201⩘≴∭⊉16632=≴∭⊉316","layer":3},{"info":"≴∭⊉0→⨶⪴≴∭⊉316=≴∭⊉-1254","layer":2},{"info":"⊆⋠≴∭⊉-1254=≴∭⊉-326143","layer":1},{"info":"≴∭⊉-115420⊨≴∭⊉-326143=≴∭⊉-336","layer":0}]}
+{"id":91,"expression_no_base_symbol":"(($1333$⪬$4166$∽$1708$⨒$1485$)⫚⫇)+($6687$⪮%⊝$4519$)⩌⋺($8024$⩘$1879$)⪕($1505$⊲⩕⊾$8593$)⋛($1702$⊋≦⊧$1692$)","expression":"((≴∭⊉3613⪬≴∭⊉15101∽≴∭⊉4660⨒≴∭⊉4221)⫚⫇)+(≴∭⊉25332⪮%⊝≴∭⊉16114)⩌⋺(≴∭⊉32252⩘≴∭⊉5323)⪕(≴∭⊉4250⊲⩕⊾≴∭⊉34024)⋛(≴∭⊉4651⊋≦⊧≴∭⊉4635)","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":835,"operation_count":12,"complexity_ratio":69.58333333333333,"tree":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⫚⫇","unary_expr":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":1333,"base":7},"right_expr":{"type":"numeric_atoms","value":4166,"base":7}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":1708,"base":7},"right_expr":{"type":"numeric_atoms","value":1485,"base":7}}}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":6687,"base":7},"right_expr":{"type":"numeric_atoms","value":4519,"base":7}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":8024,"base":7},"right_expr":{"type":"numeric_atoms","value":1879,"base":7}}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":1505,"base":7},"right_expr":{"type":"numeric_atoms","value":8593,"base":7}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":1702,"base":7},"right_expr":{"type":"numeric_atoms","value":1692,"base":7}}}}},"used_operators":["W4YGzv6Whe","SdCjLnB6rR","y4ImoPnbV5","Ez1Nq5fNfI","y75s1iXyHd","umQnsF7QlU","g7Hmc5v1ko","IWmyXbctLI","cHh1gJQ2o6","YbUVn0Rbpy","DmTXOeWf9t","oRDoc9rAEX"],"dependent_operators":["Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","2td37pGCOC","NTOWxs364D","QMFrweE19q","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC"],"result":"≴∭⊉253160","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1333","layer":4},{"info":"number node, value=4166","layer":4},{"info":"compute binary expreesion, left_input=1333, right_input=4166, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"number node, value=1708","layer":4},{"info":"number node, value=1485","layer":4},{"info":"compute binary expreesion, left_input=1708, right_input=1485, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-9876","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=-9876, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=23636","layer":2},{"info":"compute unary expreesion, input=23636, op_id = SdCjLnB6rR, unary_op_definition = 'a⫚⫇ = { ((⨞⊢87)⨸⪁((⩦⩻⨪a)≧⫂∧a)) }', output=45804","layer":1},{"info":"number node, value=6687","layer":4},{"info":"number node, value=4519","layer":4},{"info":"compute binary expreesion, left_input=6687, right_input=4519, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=13690","layer":3},{"info":"number node, value=8024","layer":4},{"info":"number node, value=1879","layer":4},{"info":"compute binary expreesion, left_input=8024, right_input=1879, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=13690, right_input=160, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-13971","layer":2},{"info":"number node, value=1505","layer":4},{"info":"number node, value=8593","layer":4},{"info":"compute binary expreesion, left_input=1505, right_input=8593, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-106640","layer":3},{"info":"number node, value=1702","layer":4},{"info":"number node, value=1692","layer":4},{"info":"compute binary expreesion, left_input=1702, right_input=1692, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=-3144","layer":3},{"info":"compute binary expreesion, left_input=-106640, right_input=-3144, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-8787","layer":2},{"info":"compute binary expreesion, left_input=-13971, right_input=-8787, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=935","layer":1},{"info":"compute binary expreesion, left_input=45804, right_input=935, op_id = W4YGzv6Whe binary_op_definition= 'None', output=46739","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉3613⪬≴∭⊉15101∽≴∭⊉4660⨒≴∭⊉4221)⫚⫇)+(≴∭⊉25332⪮%⊝≴∭⊉16114)⩌⋺(≴∭⊉32252⩘≴∭⊉5323)⪕(≴∭⊉4250⊲⩕⊾≴∭⊉34024)⋛(≴∭⊉4651⊋≦⊧≴∭⊉4635)=≴∭⊉253160","reverse_text":"≴∭⊉253160=((≴∭⊉3613⪬≴∭⊉15101∽≴∭⊉4660⨒≴∭⊉4221)⫚⫇)+(≴∭⊉25332⪮%⊝≴∭⊉16114)⩌⋺(≴∭⊉32252⩘≴∭⊉5323)⪕(≴∭⊉4250⊲⩕⊾≴∭⊉34024)⋛(≴∭⊉4651⊋≦⊧≴∭⊉4635)","cot":[{"info":"≴∭⊉3613⪬≴∭⊉15101=≴∭⊉3412","layer":3},{"info":"≴∭⊉4660⨒≴∭⊉4221=≴∭⊉-40536","layer":3},{"info":"≴∭⊉3412∽≴∭⊉-40536=≴∭⊉125624","layer":2},{"info":"≴∭⊉125624⫚⫇=≴∭⊉250353","layer":1},{"info":"≴∭⊉25332⪮%⊝≴∭⊉16114=≴∭⊉54625","layer":3},{"info":"≴∭⊉32252⩘≴∭⊉5323=≴∭⊉316","layer":3},{"info":"≴∭⊉54625⩌⋺≴∭⊉316=≴∭⊉-55506","layer":2},{"info":"≴∭⊉4250⊲⩕⊾≴∭⊉34024=≴∭⊉-622622","layer":3},{"info":"≴∭⊉4651⊋≦⊧≴∭⊉4635=≴∭⊉-12111","layer":3},{"info":"≴∭⊉-622622⋛≴∭⊉-12111=≴∭⊉-34422","layer":2},{"info":"≴∭⊉-55506⪕≴∭⊉-34422=≴∭⊉2504","layer":1},{"info":"≴∭⊉250353+≴∭⊉2504=≴∭⊉253160","layer":0}]}
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((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1087, right_input=nan, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=nan","layer":2},{"info":"number node, value=1704","layer":4},{"info":"number node, value=1061","layer":4},{"info":"compute binary expreesion, left_input=1704, right_input=1061, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"number node, value=2576","layer":4},{"info":"number node, value=4900","layer":4},{"info":"compute binary expreesion, left_input=2576, right_input=4900, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-4900","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-4900, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=-1405","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1405, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=nan","layer":1},{"info":"number node, value=1493","layer":4},{"info":"number node, value=4162","layer":4},{"info":"compute binary expreesion, left_input=1493, right_input=4162, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=2480","layer":4},{"info":"compute unary expreesion, input=2480, op_id = C6VvDP6HwP, unary_op_definition = 'a⪑⩈ = { (((a⫡⨏a)⩚⊴⇥(477⪨≂185))⇼⇔∾(⩦⩻⨪(a∲⫓a))) , if (a⨰851)>=379 ; (((a⩷∴a)⩤)⨰a) , else }', output=18950","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=18950, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":2},{"info":"number node, value=2783","layer":4},{"info":"number node, value=2618","layer":4},{"info":"compute binary expreesion, left_input=2783, right_input=2618, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"number node, value=7448","layer":4},{"info":"number node, value=6593","layer":4},{"info":"compute binary expreesion, left_input=7448, right_input=6593, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=nan, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=204, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1500, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((-≴∭⊉3112)∷≴∭⊉3661⨚⇆≴∭⊉12454)⊉↱≁((≴∭⊉4653⫸⇳≴∭⊉3044)⪛⫼≴∭⊉10340⩧⪆≴∭⊉20200)⊾⪯⋞(≴∭⊉4232≭≴∭⊉15064⪭≯(≴∭⊉10142⪑⩈))≄⊠≴∭⊉11054⪬≴∭⊉10430⋕⪉⪜(≴∭⊉30500⨚⇆≴∭⊉25136)=NaN","reverse_text":"NaN=((-≴∭⊉3112)∷≴∭⊉3661⨚⇆≴∭⊉12454)⊉↱≁((≴∭⊉4653⫸⇳≴∭⊉3044)⪛⫼≴∭⊉10340⩧⪆≴∭⊉20200)⊾⪯⋞(≴∭⊉4232≭≴∭⊉15064⪭≯(≴∭⊉10142⪑⩈))≄⊠≴∭⊉11054⪬≴∭⊉10430⋕⪉⪜(≴∭⊉30500⨚⇆≴∭⊉25136)","cot":[{"info":"-≴∭⊉3112=≴∭⊉-3112","layer":3},{"info":"≴∭⊉3661⨚⇆≴∭⊉12454=NaN","layer":3},{"info":"≴∭���-3112∷NaN=NaN","layer":2},{"info":"≴∭⊉4653⫸⇳≴∭⊉3044=≴∭⊉0","layer":3},{"info":"≴∭⊉10340⩧⪆≴∭⊉20200=≴∭⊉-20200","layer":3},{"info":"≴∭⊉0⪛⫼≴∭⊉-20200=≴∭⊉-4045","layer":2},{"info":"NaN⊉↱≁≴∭⊉-4045=NaN","layer":1},{"info":"≴∭⊉4232≭≴∭⊉15064=NaN","layer":3},{"info":"≴∭⊉10142⪑⩈=≴∭⊉106151","layer":3},{"info":"NaN⪭≯≴∭⊉106151=NaN","layer":2},{"info":"≴∭⊉11054⪬≴∭⊉10430=≴∭⊉3412","layer":3},{"info":"≴∭⊉30500⨚⇆≴∭⊉25136=NaN","layer":3},{"info":"≴∭⊉3412⋕⪉⪜NaN=≴∭⊉411","layer":2},{"info":"NaN≄⊠≴∭⊉411=≴∭⊉4242","layer":1},{"info":"NaN⊾⪯⋞≴∭⊉4242=NaN","layer":0}]}
+{"id":93,"expression_no_base_symbol":"(⇨($7297$⪨≂$1339$))⋛((⨑⩽⪐$7171$)⩏)≦≮≮","expression":"(⇨(≴∭⊉30163⪨≂≴∭⊉3622))⋛((⨑⩽⪐≴∭⊉26623)⩏)≦≮≮","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":514,"operation_count":6,"complexity_ratio":85.66666666666667,"tree":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":7297,"base":7},"right_expr":{"type":"numeric_atoms","value":1339,"base":7}}},"right_expr":{"type":"unary","operator":"⩏","unary_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":7171,"base":7}}}}},"used_operators":["D4vGDi5EA2","YbUVn0Rbpy","G9tJMlZ94a","sdazOOVcIp","iA2gmKZ3Wj","AF7qkfDlqP"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","z6LnFrNh4i","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"≴∭⊉3111162","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=7297","layer":4},{"info":"number node, value=1339","layer":4},{"info":"compute binary expreesion, left_input=7297, right_input=1339, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=12018","layer":3},{"info":"compute unary expreesion, input=12018, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":2},{"info":"number node, value=7171","layer":4},{"info":"compute unary expreesion, input=7171, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-6898","layer":3},{"info":"compute unary expreesion, input=-6898, op_id = iA2gmKZ3Wj, unary_op_definition = 'a⩏ = { ((a⋕⪉⪜272)≣⋋) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-124197","layer":1},{"info":"compute unary expreesion, input=-124197, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=372591","layer":0}],"base":7,"result_base":7,"text":"(⇨(≴∭⊉30163⪨≂≴∭⊉3622))⋛((⨑⩽⪐≴∭⊉26623)⩏)≦≮≮=≴∭⊉3111162","reverse_text":"≴∭⊉3111162=(⇨(≴∭⊉30163⪨≂≴∭⊉3622))⋛((⨑⩽⪐≴∭⊉26623)⩏)≦≮≮","cot":[{"info":"≴∭⊉30163⪨≂≴∭⊉3622=≴∭⊉50016","layer":3},{"info":"⇨≴∭⊉50016=≴∭⊉0","layer":2},{"info":"⨑⩽⪐≴∭⊉26623=≴∭⊉-26053","layer":3},{"info":"≴∭⊉-26053⩏=≴∭⊉0","layer":2},{"info":"≴∭⊉0⋛≴∭⊉0=≴∭⊉-1025043","layer":1},{"info":"≴∭⊉-1025043≦≮≮=≴∭⊉3111162","layer":0}]}
+{"id":94,"expression_no_base_symbol":"↯⪼((≤/$3384$⩧⪆$1725$)⩧⪆($4915$⪔$1268$)⪒⊣⊆($2831$⨳⩥⨓$5344$))","expression":"↯⪼((≤/≴∭⊉12603⩧⪆≴∭⊉5013)⩧⪆(≴∭⊉20221⪔≴∭⊉3461)⪒⊣⊆(≴∭⊉11153⨳⩥⨓≴∭⊉21403))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1384,"operation_count":7,"complexity_ratio":197.71428571428572,"tree":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":3384,"base":7},"right_expr":{"type":"numeric_atoms","value":1725,"base":7}}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":4915,"base":7},"right_expr":{"type":"numeric_atoms","value":1268,"base":7}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2831,"base":7},"right_expr":{"type":"numeric_atoms","value":5344,"base":7}}}}},"used_operators":["8jW3W4yZS5","Ikt5ks8PT7","eLAdDNolq6","eRqsBgTDFp","GjBEYRfMaF","nCS4ZIUYfx"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","eewbuw0ToL","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","W4YGzv6Whe","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","W4YGzv6Whe","rysDP5nf3Z"],"result":"≴∭⊉2401","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3384","layer":4},{"info":"number node, value=1725","layer":4},{"info":"compute binary expreesion, left_input=3384, right_input=1725, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-1725","layer":3},{"info":"compute unary expreesion, input=-1725, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=2209","layer":2},{"info":"number node, value=4915","layer":4},{"info":"number node, value=1268","layer":4},{"info":"compute binary expreesion, left_input=4915, right_input=1268, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"number node, value=2831","layer":4},{"info":"number node, value=5344","layer":4},{"info":"compute binary expreesion, left_input=2831, right_input=5344, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=2513","layer":3},{"info":"compute binary expreesion, left_input=450, right_input=2513, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=900","layer":2},{"info":"compute binary expreesion, left_input=2209, right_input=900, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-900","layer":1},{"info":"compute unary expreesion, input=-900, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=883","layer":0}],"base":7,"result_base":7,"text":"↯⪼((≤/≴∭⊉12603⩧⪆≴∭⊉5013)⩧⪆(≴∭⊉20221⪔≴∭⊉3461)⪒⊣⊆(≴∭⊉11153⨳⩥⨓≴∭⊉21403))=≴∭⊉2401","reverse_text":"≴∭⊉2401=↯⪼((≤/≴∭⊉12603⩧⪆≴∭⊉5013)⩧⪆(≴∭⊉20221⪔≴∭⊉3461)⪒⊣⊆(≴∭⊉11153⨳⩥⨓≴∭⊉21403))","cot":[{"info":"≴∭⊉12603⩧⪆≴∭⊉5013=≴∭⊉-5013","layer":3},{"info":"≤/≴∭⊉-5013=≴∭⊉6304","layer":2},{"info":"≴∭⊉20221⪔≴∭⊉3461=≴∭⊉1212","layer":3},{"info":"≴∭⊉11153⨳⩥⨓≴∭⊉21403=≴∭⊉10220","layer":3},{"info":"≴∭⊉1212⪒⊣⊆≴∭⊉10220=≴∭⊉2424","layer":2},{"info":"≴∭⊉6304⩧⪆≴∭⊉2424=≴∭⊉-2424","layer":1},{"info":"↯⪼≴∭⊉-2424=≴∭⊉2401","layer":0}]}
+{"id":95,"expression_no_base_symbol":"$1997$↞⋁$1262$⇍⊗($2190$⫌⩉⩟$1439$)⪮%⊝(($1537$⪄$6278$)⇡)⩺⪪(∷≠(⨵$2637$))∼($1758$⇴$7779$⪒$3976$⪍↜⋙$4861$)","expression":"≴∭⊉5552↞⋁≴∭⊉3452⇍⊗(≴∭⊉6246⫌⩉⩟≴∭⊉4124)⪮%⊝((≴∭⊉4324⪄≴∭⊉24206)⇡)⩺⪪(∷≠(⨵≴∭⊉10455))∼(≴∭⊉5061⇴≴∭⊉31452⪒≴∭⊉14410⪍↜⋙≴∭⊉20113)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":8314,"operation_count":13,"complexity_ratio":639.5384615384615,"tree":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":1997,"base":7},"right_expr":{"type":"numeric_atoms","value":1262,"base":7}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":2190,"base":7},"right_expr":{"type":"numeric_atoms","value":1439,"base":7}}},"right_expr":{"type":"unary","operator":"⇡","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1537,"base":7},"right_expr":{"type":"numeric_atoms","value":6278,"base":7}}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"numeric_atoms","value":2637,"base":7}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":1758,"base":7},"right_expr":{"type":"numeric_atoms","value":7779,"base":7}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":3976,"base":7},"right_expr":{"type":"numeric_atoms","value":4861,"base":7}}}}},"used_operators":["uvdQJvN4PV","IWmyXbctLI","5uvYHDjeKN","RqrPlJkxDo","XIIwhv8d0m","UqFzSgLMvQ","SUmda5xLS4","DyGG3AbaNP","QiR2Oyf5Xj","Tl3Y52tvF8","f6k1SAg4EE","4JB6nKBMSY","L05ObWFQCd"],"dependent_operators":["Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","3sJ7IOPOlU","sJAwomhLZr","4JB6nKBMSY","k2HlF1dBQh","BiWNJpBvwn","YSKBFp38Pu","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","7j4O788W3g","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","NTOWxs364D","COABgblf1C","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1997","layer":4},{"info":"number node, value=1262","layer":4},{"info":"compute binary expreesion, left_input=1997, right_input=1262, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"number node, value=2190","layer":4},{"info":"number node, value=1439","layer":4},{"info":"compute binary expreesion, left_input=2190, right_input=1439, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-50, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":2},{"info":"number node, value=1537","layer":4},{"info":"number node, value=6278","layer":4},{"info":"compute binary expreesion, left_input=1537, right_input=6278, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-248677","layer":3},{"info":"compute unary expreesion, input=-248677, op_id = UqFzSgLMvQ, unary_op_definition = 'a⇡ = { (((a⇴a)⪇≇⋚(∤27))⇤((a⩍⋽⫝̸27)⩠)) }', output=-2917","layer":2},{"info":"compute binary expreesion, left_input=-244, right_input=-2917, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-172","layer":1},{"info":"number node, value=2637","layer":4},{"info":"compute unary expreesion, input=2637, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=-22305","layer":3},{"info":"compute unary expreesion, input=-22305, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=-22305","layer":2},{"info":"number node, value=1758","layer":4},{"info":"number node, value=7779","layer":4},{"info":"compute binary expreesion, left_input=1758, right_input=7779, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=25720","layer":3},{"info":"number node, value=3976","layer":4},{"info":"number node, value=4861","layer":4},{"info":"compute binary expreesion, left_input=3976, right_input=4861, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-30385","layer":3},{"info":"compute binary expreesion, left_input=25720, right_input=-30385, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=4665","layer":2},{"info":"compute binary expreesion, left_input=-22305, right_input=4665, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-172, right_input=nan, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉5552↞⋁≴∭⊉3452⇍⊗(≴∭⊉6246⫌⩉⩟≴∭⊉4124)⪮%⊝((≴∭⊉4324⪄≴∭⊉24206)⇡)⩺⪪(∷≠(⨵≴∭⊉10455))∼(≴∭⊉5061⇴≴∭⊉31452⪒≴∭⊉14410⪍↜⋙≴∭⊉20113)=NaN","reverse_text":"NaN=≴∭⊉5552↞⋁≴∭⊉3452⇍⊗(≴∭⊉6246⫌⩉⩟≴∭⊉4124)⪮%⊝((≴∭⊉4324⪄≴∭⊉24206)⇡)⩺⪪(∷≠(⨵≴∭⊉10455))∼(≴∭⊉5061⇴≴∭⊉31452⪒≴∭⊉14410⪍↜⋙≴∭⊉20113)","cot":[{"info":"≴∭⊉5552↞⋁≴∭⊉3452=NaN","layer":3},{"info":"≴∭⊉6246⫌⩉⩟≴∭⊉4124=≴∭⊉-101","layer":3},{"info":"NaN⇍⊗≴∭⊉-101=≴∭⊉-466","layer":2},{"info":"≴∭⊉4324⪄≴∭⊉24206=≴∭⊉-2054002","layer":3},{"info":"≴∭⊉-2054002⇡=≴∭⊉-11335","layer":2},{"info":"≴∭⊉-466⪮%⊝≴∭⊉-11335=≴∭⊉-334","layer":1},{"info":"⨵≴∭⊉10455=≴∭⊉-122013","layer":3},{"info":"∷≠≴∭⊉-122013=≴∭⊉-122013","layer":2},{"info":"≴∭⊉5061⇴≴∭⊉31452=≴∭⊉134662","layer":3},{"info":"≴∭⊉14410⪍↜⋙≴∭⊉20113=≴∭⊉-154405","layer":3},{"info":"≴∭⊉134662⪒≴∭⊉-154405=≴∭⊉16413","layer":2},{"info":"≴∭⊉-122013∼≴∭⊉16413=NaN","layer":1},{"info":"≴∭⊉-334⩺⪪NaN=NaN","layer":0}]}
+{"id":96,"expression_no_base_symbol":"(($2862$*$4325$)≁($5884$⪭$5968$)⫦⪉($1490$↺$2317$⩨$7849$+⪬∐$2692$))⩏","expression":"((≴∭⊉11226*≴∭⊉15416)≁(≴∭⊉23104⪭≴∭⊉23254)⫦⪉(≴∭⊉4226↺≴∭⊉6520⩨≴∭⊉31612+⪬∐≴∭⊉10564))⩏","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3534,"operation_count":8,"complexity_ratio":441.75,"tree":{"type":"unary","operator":"⩏","unary_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2862,"base":7},"right_expr":{"type":"numeric_atoms","value":4325,"base":7}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":5884,"base":7},"right_expr":{"type":"numeric_atoms","value":5968,"base":7}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1490,"base":7},"right_expr":{"type":"numeric_atoms","value":2317,"base":7}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":7849,"base":7},"right_expr":{"type":"numeric_atoms","value":2692,"base":7}}}}},"used_operators":["iA2gmKZ3Wj","wscyQdcy20","8N2wDY1A35","9HNa5Wba9A","j9kHMeSvPp","2DlMacCsIx","7j4O788W3g","2GS7woTJqF"],"dependent_operators":["z6LnFrNh4i","Tcnh7f0tEr","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","W4YGzv6Whe","COABgblf1C","xUOZtlo3hN","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","g55IO6H4Gj","D4vGDi5EA2"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2862","layer":4},{"info":"number node, value=4325","layer":4},{"info":"compute binary expreesion, left_input=2862, right_input=4325, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=12378150","layer":3},{"info":"number node, value=5884","layer":4},{"info":"number node, value=5968","layer":4},{"info":"compute binary expreesion, left_input=5884, right_input=5968, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"compute binary expreesion, left_input=12378150, right_input=5, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=-8561","layer":2},{"info":"number node, value=1490","layer":4},{"info":"number node, value=2317","layer":4},{"info":"compute binary expreesion, left_input=1490, right_input=2317, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2317","layer":3},{"info":"number node, value=7849","layer":4},{"info":"number node, value=2692","layer":4},{"info":"compute binary expreesion, left_input=7849, right_input=2692, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-23547","layer":3},{"info":"compute binary expreesion, left_input=2317, right_input=-23547, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=33","layer":2},{"info":"compute binary expreesion, left_input=-8561, right_input=33, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=20960","layer":1},{"info":"compute unary expreesion, input=20960, op_id = iA2gmKZ3Wj, unary_op_definition = 'a⩏ = { ((a⋕⪉⪜272)≣⋋) }', output=0","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉11226*≴∭⊉15416)≁(≴∭⊉23104⪭≴∭⊉23254)⫦⪉(≴∭⊉4226↺≴∭⊉6520⩨≴∭⊉31612+⪬∐≴∭⊉10564))⩏=≴∭⊉0","reverse_text":"≴∭⊉0=((≴∭⊉11226*≴∭⊉15416)≁(≴∭⊉23104⪭≴∭⊉23254)⫦⪉(≴∭⊉4226↺≴∭⊉6520⩨≴∭⊉31612+⪬∐≴∭⊉10564))⩏","cot":[{"info":"≴∭⊉11226*≴∭⊉15416=≴∭⊉210132621","layer":3},{"info":"≴∭⊉23104⪭≴∭⊉23254=≴∭⊉5","layer":3},{"info":"≴∭⊉210132621≁≴∭⊉5=≴∭⊉-33650","layer":2},{"info":"≴∭⊉4226↺≴∭⊉6520=≴∭⊉6520","layer":3},{"info":"≴∭⊉31612+⪬∐≴∭⊉10564=≴∭⊉-125436","layer":3},{"info":"≴∭⊉6520⩨≴∭⊉-125436=≴∭⊉45","layer":2},{"info":"≴∭⊉-33650⫦⪉≴∭⊉45=≴∭⊉115052","layer":1},{"info":"≴∭⊉115052⩏=≴∭⊉0","layer":0}]}
+{"id":97,"expression_no_base_symbol":"(($5694$⪨⊡$4659$)∛($7984$⫸⇳$3894$)⨽($2224$⫸⇳$5655$)⨰$2541$∋$1295$)⫣⪄⊒(((⊵⊁$3999$)⊧↖)⩢≌)","expression":"((≴∭⊉22413⪨⊡≴∭⊉16404)∛(≴∭⊉32164⫸⇳≴∭⊉14232)⨽(≴∭⊉6325⫸⇳≴∭⊉22326)⨰≴∭⊉10260∋≴∭⊉3530)⫣⪄⊒(((⊵⊁≴∭⊉14442)⊧↖)⩢≌)","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":23553,"operation_count":11,"complexity_ratio":2141.181818181818,"tree":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":5694,"base":7},"right_expr":{"type":"numeric_atoms","value":4659,"base":7}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":7984,"base":7},"right_expr":{"type":"numeric_atoms","value":3894,"base":7}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":2224,"base":7},"right_expr":{"type":"numeric_atoms","value":5655,"base":7}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":2541,"base":7},"right_expr":{"type":"numeric_atoms","value":1295,"base":7}}}},"right_expr":{"type":"unary","operator":"⩢≌","unary_expr":{"type":"unary","operator":"⊧↖","unary_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"numeric_atoms","value":3999,"base":7}}}}},"used_operators":["RabNbG55vr","8HhzD0ZcuI","w2537kitQq","kuIXHzHcAH","gx7XJ7hdpj","eewbuw0ToL","ukq6epAj5P","D617RFjZIq","EKiFHuOFxO","AvED76WdY7"],"dependent_operators":["NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","hTbEZDJLEm","o20kRiQErp","5twsqlHp2o","dfKe02y8D2","8HhzD0ZcuI","uBihLCJcMX","k8jYdgA6NY"],"result":"≴∭⊉316","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5694","layer":4},{"info":"number node, value=4659","layer":4},{"info":"compute binary expreesion, left_input=5694, right_input=4659, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=7984","layer":4},{"info":"number node, value=3894","layer":4},{"info":"compute binary expreesion, left_input=7984, right_input=3894, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":2},{"info":"number node, value=2224","layer":4},{"info":"number node, value=5655","layer":4},{"info":"compute binary expreesion, left_input=2224, right_input=5655, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"number node, value=2541","layer":4},{"info":"number node, value=1295","layer":4},{"info":"compute binary expreesion, left_input=2541, right_input=1295, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=2761700","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2761700, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-2761690","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=-2761690, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=8272917","layer":1},{"info":"number node, value=3999","layer":4},{"info":"compute unary expreesion, input=3999, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=22924","layer":3},{"info":"compute unary expreesion, input=22924, op_id = EKiFHuOFxO, unary_op_definition = 'a⊧↖ = { ((a⨽a)⊢(a⫚↹⊑79)) }', output=inf","layer":2},{"info":"compute unary expreesion, input=inf, op_id = D617RFjZIq, unary_op_definition = 'a⩢≌ = { ((a∸)∟) }', output=113","layer":1},{"info":"compute binary expreesion, left_input=8272917, right_input=113, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=160","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉22413⪨⊡≴∭⊉16404)∛(≴∭⊉32164⫸⇳≴∭⊉14232)⨽(≴∭⊉6325⫸⇳≴∭⊉22326)⨰≴∭⊉10260∋≴∭⊉3530)⫣⪄⊒(((⊵⊁≴∭⊉14442)⊧↖)⩢≌)=≴∭⊉316","reverse_text":"≴∭⊉316=((≴∭⊉22413⪨⊡≴∭⊉16404)∛(≴∭⊉32164⫸⇳≴∭⊉14232)⨽(≴∭⊉6325⫸⇳≴∭⊉22326)⨰≴∭⊉10260∋≴∭⊉3530)⫣⪄⊒(((⊵⊁≴∭⊉14442)��↖)⩢≌)","cot":[{"info":"≴∭⊉22413⪨⊡≴∭⊉16404=≴∭⊉0","layer":3},{"info":"≴∭⊉32164⫸⇳≴∭⊉14232=≴∭⊉0","layer":3},{"info":"≴∭⊉0∛≴∭⊉0=≴∭⊉124","layer":2},{"info":"≴∭⊉6325⫸⇳≴∭⊉22326=≴∭⊉0","layer":3},{"info":"≴∭⊉10260∋≴∭⊉3530=≴∭⊉32321414","layer":3},{"info":"≴∭⊉0⨰≴∭⊉32321414=≴∭⊉-32321401","layer":2},{"info":"≴∭⊉124⨽≴∭⊉-32321401=≴∭⊉130214202","layer":1},{"info":"⊵⊁≴∭⊉14442=≴∭⊉123556","layer":3},{"info":"≴∭⊉123556⊧↖=Inf","layer":2},{"info":"Inf⩢≌=≴∭⊉221","layer":1},{"info":"≴∭⊉130214202⫣⪄⊒≴∭⊉221=≴∭⊉316","layer":0}]}
+{"id":98,"expression_no_base_symbol":"$3161$⊮⊟↴$1281$⨚⇆($2663$⫚↹⊑$5147$)∷$1478$⨿$1854$⋳⪒$2480$≁$3208$⫚↹⊑((⊊≼∋$2608$)⩺⪪$7707$⩦$2041$)⋣⋖((⨛$4832$)⨸⪁$3821$≌$7510$)","expression":"≴∭⊉12134⊮⊟↴≴∭⊉3510⨚⇆(≴∭⊉10523⫚↹⊑≴∭⊉21002)∷≴∭⊉4211⨿≴∭⊉5256⋳⪒≴∭⊉10142≁≴∭⊉12232⫚↹⊑((⊊≼∋≴∭⊉10414)⩺⪪≴∭⊉31320⩦≴∭⊉5644)⋣⋖((⨛≴∭⊉20042)⨸⪁≴∭⊉14066≌≴∭⊉30616)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":10878,"operation_count":15,"complexity_ratio":725.2,"tree":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":3161,"base":7},"right_expr":{"type":"numeric_atoms","value":1281,"base":7}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":2663,"base":7},"right_expr":{"type":"numeric_atoms","value":5147,"base":7}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":1478,"base":7},"right_expr":{"type":"numeric_atoms","value":1854,"base":7}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":2480,"base":7},"right_expr":{"type":"numeric_atoms","value":3208,"base":7}}}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"numeric_atoms","value":2608,"base":7}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":7707,"base":7},"right_expr":{"type":"numeric_atoms","value":2041,"base":7}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"numeric_atoms","value":4832,"base":7}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":3821,"base":7},"right_expr":{"type":"numeric_atoms","value":7510,"base":7}}}}},"used_operators":["dfKe02y8D2","D3AQDKkPcf","lwHaAYXP2r","QDVgd2eftb","12rbrZMWeM","abYXlopdE0","8N2wDY1A35","J0M6qkBnIM","uvdQJvN4PV","FWz7pXsQhA","0kmYd0q39Y","g55IO6H4Gj","CoMdbyAt7R","lyWz822IDG"],"dependent_operators":["2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","9FxExcQeMw","NTOWxs364D","7j4O788W3g","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","B5M0gjZbta","jCPkEVoL5K","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","W4YGzv6Whe","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU"],"result":"≴∭⊉-1206","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3161","layer":4},{"info":"number node, value=1281","layer":4},{"info":"compute binary expreesion, left_input=3161, right_input=1281, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"number node, value=2663","layer":4},{"info":"number node, value=5147","layer":4},{"info":"compute binary expreesion, left_input=2663, right_input=5147, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-447, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=6742","layer":2},{"info":"number node, value=1478","layer":4},{"info":"number node, value=1854","layer":4},{"info":"compute binary expreesion, left_input=1478, right_input=1854, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"number node, value=2480","layer":4},{"info":"number node, value=3208","layer":4},{"info":"compute binary expreesion, left_input=2480, right_input=3208, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=63791","layer":3},{"info":"compute binary expreesion, left_input=-319, right_input=63791, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-64716","layer":2},{"info":"compute binary expreesion, left_input=6742, right_input=-64716, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=-7536","layer":1},{"info":"number node, value=2608","layer":4},{"info":"compute unary expreesion, input=2608, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=-447","layer":3},{"info":"number node, value=7707","layer":4},{"info":"number node, value=2041","layer":4},{"info":"compute binary expreesion, left_input=7707, right_input=2041, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=15414","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=15414, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-265066","layer":2},{"info":"number node, value=4832","layer":4},{"info":"compute unary expreesion, input=4832, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":3},{"info":"number node, value=3821","layer":4},{"info":"number node, value=7510","layer":4},{"info":"compute binary expreesion, left_input=3821, right_input=7510, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-265066, right_input=nan, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=-265066","layer":1},{"info":"compute binary expreesion, left_input=-7536, right_input=-265066, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉12134⊮⊟↴≴∭⊉3510⨚⇆(≴∭⊉10523⫚↹⊑≴∭⊉21002)∷≴∭⊉4211⨿≴∭⊉5256⋳⪒≴∭⊉10142≁≴∭⊉12232⫚↹⊑((⊊≼∋≴∭⊉10414)⩺⪪≴∭⊉31320⩦≴∭⊉5644)⋣⋖((⨛≴∭⊉20042)⨸⪁≴∭⊉14066≌≴∭⊉30616)=≴∭⊉-1206","reverse_text":"≴∭⊉-1206=≴∭⊉12134⊮⊟↴≴∭⊉3510⨚⇆(≴∭⊉10523⫚↹⊑≴∭⊉21002)∷≴∭⊉4211⨿≴∭⊉5256⋳⪒≴∭⊉10142≁≴∭⊉12232⫚↹⊑((⊊≼∋≴∭⊉10414)⩺⪪≴∭⊉31320⩦≴∭⊉5644)⋣⋖((⨛≴∭⊉20042)⨸⪁≴∭⊉14066≌≴∭⊉30616)","cot":[{"info":"≴∭⊉12134⊮⊟↴≴∭⊉3510=≴∭⊉0","layer":3},{"info":"≴∭⊉10523⫚↹⊑≴∭⊉21002=≴∭⊉-1206","layer":3},{"info":"≴∭⊉0⨚⇆≴∭⊉-1206=≴∭⊉25441","layer":2},{"info":"≴∭⊉4211⨿≴∭⊉5256=≴∭⊉-634","layer":3},{"info":"≴∭⊉10142≁≴∭⊉12232=≴∭⊉353660","layer":3},{"info":"≴∭⊉-634⋳⪒≴∭⊉353660=≴∭⊉-356451","layer":2},{"info":"≴∭⊉25441∷≴∭⊉-356451=≴∭⊉-30654","layer":1},{"info":"⊊≼∋≴∭⊉10414=≴∭⊉-1206","layer":3},{"info":"≴∭⊉31320⩦≴∭⊉5644=≴∭⊉62640","layer":3},{"info":"≴∭⊉-1206⩺⪪≴∭⊉62640=≴∭⊉-2152534","layer":2},{"info":"⨛≴∭⊉20042=NaN","layer":3},{"info":"≴∭⊉14066≌≴∭⊉30616=NaN","layer":3},{"info":"NaN⨸⪁NaN=NaN","layer":2},{"info":"≴∭⊉-2152534⋣⋖NaN=≴∭⊉-2152534","layer":1},{"info":"≴∭⊉-30654⫚↹⊑≴∭⊉-2152534=≴∭⊉-1206","layer":0}]}
+{"id":99,"expression_no_base_symbol":"((⨛$3312$)⪨⊡(∓$2191$))⩼⇪↪((⪫⨮⊛$7991$)⊭↱$1837$⪝$7856$)⨵⪆(($2497$⨑⩅≇$5789$⊍)⋩≍≻)","expression":"((⨛≴∭⊉12441)⪨⊡(∓≴∭⊉6250))⩼⇪↪((⪫⨮⊛≴∭⊉32204)⊭↱≴∭⊉5233⪝≴∭⊉31622)⨵⪆((≴∭⊉10165⨑⩅≇≴∭⊉22610⊍)⋩≍≻)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2428934,"operation_count":11,"complexity_ratio":220812.18181818182,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"numeric_atoms","value":3312,"base":7}},"right_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"numeric_atoms","value":2191,"base":7}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"numeric_atoms","value":7991,"base":7}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":1837,"base":7},"right_expr":{"type":"numeric_atoms","value":7856,"base":7}}}},"right_expr":{"type":"unary","operator":"⋩≍≻","unary_expr":{"type":"unary","operator":"⊍","unary_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":2497,"base":7},"right_expr":{"type":"numeric_atoms","value":5789,"base":7}}}}},"used_operators":["2DQ55sFlQl","ocnLzx9CaJ","kuIXHzHcAH","CoMdbyAt7R","OwUj7dcsQK","COABgblf1C","w5FWba1tyO","wicAB68Tmb","WYd1w68Nbz","3nqY3DE9mg","h92wMvzauj"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","P8v4zCKN1o","Noe24qw2ks","mqXw5SEYmG","IWmyXbctLI","COABgblf1C","8w2t5hMYqp","AF7qkfDlqP","12rbrZMWeM","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq"],"result":"≴∭⊉316","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3312","layer":4},{"info":"compute unary expreesion, input=3312, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":3},{"info":"number node, value=2191","layer":4},{"info":"compute unary expreesion, input=2191, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-37737","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-37737, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=151737","layer":2},{"info":"number node, value=7991","layer":4},{"info":"compute unary expreesion, input=7991, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":3},{"info":"number node, value=1837","layer":4},{"info":"number node, value=7856","layer":4},{"info":"compute binary expreesion, left_input=1837, right_input=7856, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=237, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=151737, right_input=nan, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=nan","layer":1},{"info":"number node, value=2497","layer":4},{"info":"number node, value=5789","layer":4},{"info":"compute binary expreesion, left_input=2497, right_input=5789, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-7491","layer":3},{"info":"compute unary expreesion, input=-7491, op_id = 3nqY3DE9mg, unary_op_definition = 'a⊍ = { (⊄⩳↩(⨑⩽⪐(a⋳⪒a))) }', output=-49035","layer":2},{"info":"compute unary expreesion, input=-49035, op_id = WYd1w68Nbz, unary_op_definition = 'a⋩≍≻ = { (∥⊫(a⊭↱21)) , if a>=390 ; ((a⨐a)⫸⊐(a⪮%⊝a)) , else }', output=-195637","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-195637, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":7,"result_base":7,"text":"((⨛≴∭⊉12441)⪨⊡(∓≴∭⊉6250))⩼⇪↪((⪫⨮⊛≴∭⊉32204)⊭↱≴∭⊉5233⪝≴∭⊉31622)⨵⪆((≴∭⊉10165⨑⩅≇≴∭⊉22610⊍)⋩≍≻)=≴∭⊉316","reverse_text":"≴∭⊉316=((⨛≴∭⊉12441)⪨⊡(∓≴∭⊉6250))⩼⇪↪((⪫⨮⊛≴∭⊉32204)⊭↱≴∭⊉5233⪝≴∭⊉31622)⨵⪆((≴∭⊉10165⨑⩅≇≴∭⊉22610⊍)⋩≍≻)","cot":[{"info":"⨛≴∭⊉12441=NaN","layer":3},{"info":"∓≴∭⊉6250=≴∭⊉-215010","layer":3},{"info":"NaN⪨⊡≴∭⊉-215010=≴∭⊉1201245","layer":2},{"info":"⪫⨮⊛≴∭⊉32204=NaN","layer":3},{"info":"≴∭⊉5233⪝≴∭⊉31622=≴∭⊉456","layer":3},{"info":"NaN⊭↱≴∭⊉456=NaN","layer":2},{"info":"≴∭⊉1201245⩼⇪↪NaN=NaN","layer":1},{"info":"≴∭⊉10165⨑⩅���≴∭⊉22610=≴∭⊉-30561","layer":3},{"info":"≴∭⊉-30561⊍=≴∭⊉-262650","layer":2},{"info":"≴∭⊉-262650⋩≍≻=≴∭⊉-1443241","layer":1},{"info":"NaN⨵⪆≴∭⊉-1443241=≴∭⊉316","layer":0}]}
+{"id":100,"expression_no_base_symbol":"≑⋹((⊁⨺$8538$)⨑⩅≇($3244$⨸⪁$3596$)⪉⨛(⩩$3871$)∑⇟⊟(⫶⊄≣$1021$))","expression":"≑⋹((⊁⨺≴∭⊉33615)⨑⩅≇(≴∭⊉12313⨸⪁≴∭⊉13325)⪉⨛(⩩≴∭⊉14200)∑⇟⊟(⫶⊄≣≴∭⊉2656))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":19703,"operation_count":8,"complexity_ratio":2462.875,"tree":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"numeric_atoms","value":8538,"base":7}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3244,"base":7},"right_expr":{"type":"numeric_atoms","value":3596,"base":7}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"numeric_atoms","value":3871,"base":7}},"right_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"numeric_atoms","value":1021,"base":7}}}}},"used_operators":["6B9nyZLogK","EWw2JM7wp4","h92wMvzauj","PxiHyQbrIp","g55IO6H4Gj","U7g4x0WXJJ","kMhfGuqI2H","wxb3vTeyAj"],"dependent_operators":["aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","W4YGzv6Whe","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=8538","layer":4},{"info":"compute unary expreesion, input=8538, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=160","layer":3},{"info":"number node, value=3244","layer":4},{"info":"number node, value=3596","layer":4},{"info":"compute binary expreesion, left_input=3244, right_input=3596, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=13680","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=13680, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-480","layer":2},{"info":"number node, value=3871","layer":4},{"info":"compute unary expreesion, input=3871, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":3},{"info":"number node, value=1021","layer":4},{"info":"compute unary expreesion, input=1021, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=18779005","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=18779005, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-480, right_input=nan, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"≑⋹((⊁⨺≴∭⊉33615)⨑⩅≇(≴∭⊉12313⨸⪁≴∭⊉13325)⪉⨛(⩩≴∭⊉14200)∑⇟⊟(⫶⊄≣≴∭⊉2656))=NaN","reverse_text":"NaN=≑⋹((⊁⨺≴∭⊉33615)⨑⩅≇(≴∭⊉12313⨸⪁≴∭⊉13325)⪉⨛(⩩≴∭⊉14200)∑⇟⊟(⫶⊄≣≴∭⊉2656))","cot":[{"info":"⊁⨺≴∭⊉33615=≴∭⊉316","layer":3},{"info":"≴∭⊉12313⨸⪁≴∭⊉13325=≴∭⊉54612","layer":3},{"info":"≴∭⊉316⨑⩅≇≴∭⊉54612=≴∭⊉-1254","layer":2},{"info":"⩩≴∭⊉14200=NaN","layer":3},{"info":"⫶⊄≣≴∭⊉2656=≴∭⊉315422200","layer":3},{"info":"NaN∑⇟⊟≴∭⊉315422200=NaN","layer":2},{"info":"≴∭⊉-1254⪉⨛NaN=NaN","layer":1},{"info":"≑⋹NaN=NaN","layer":0}]}
+{"id":101,"expression_no_base_symbol":"((($5458$≬⋮$2899$)⫍⨯↯)⊉≛↸($3867$⨽∌$1621$)⨿($2284$∳⫺$2040$))∴≳≥","expression":"(((≴∭⊉21625≬⋮≴∭⊉11311)⫍⨯↯)⊉≛↸(≴∭⊉14163⨽∌≴∭⊉4504)⨿(≴∭⊉6442∳⫺≴∭⊉5643))∴≳≥","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":381,"operation_count":7,"complexity_ratio":54.42857142857143,"tree":{"type":"unary","operator":"∴≳≥","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⫍⨯↯","unary_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":5458,"base":7},"right_expr":{"type":"numeric_atoms","value":2899,"base":7}}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":3867,"base":7},"right_expr":{"type":"numeric_atoms","value":1621,"base":7}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":2284,"base":7},"right_expr":{"type":"numeric_atoms","value":2040,"base":7}}}}},"used_operators":["a3N2hFLK0J","DZ8iAZOCBD","ZcwmYACASQ","kbkesczE7y","abYXlopdE0","9samAPKr6k","AzXXKTstlj"],"dependent_operators":["g55IO6H4Gj","DpFCA1CohY","xUOZtlo3hN","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","23Mk6UjR3U","2DDjHMKMc0","Qy55tPpLXF","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT"],"result":"≴∭⊉25322","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5458","layer":4},{"info":"number node, value=2899","layer":4},{"info":"compute binary expreesion, left_input=5458, right_input=2899, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"compute unary expreesion, input=868, op_id = ZcwmYACASQ, unary_op_definition = 'a⫍⨯↯ = { ((a⋥≓≎a)⋷(a⋝⋈⪟337)) }', output=835","layer":2},{"info":"number node, value=3867","layer":4},{"info":"number node, value=1621","layer":4},{"info":"compute binary expreesion, left_input=3867, right_input=1621, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"number node, value=2284","layer":4},{"info":"number node, value=2040","layer":4},{"info":"compute binary expreesion, left_input=2284, right_input=2040, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-260, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=121","layer":2},{"info":"compute binary expreesion, left_input=835, right_input=121, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=1670","layer":1},{"info":"compute unary expreesion, input=1670, op_id = a3N2hFLK0J, unary_op_definition = 'a∴≳≥ = { (⨞⊢a) , if (⋗⩬⋾a)==641 ; (a⨸⪁a) , else }', output=6680","layer":0}],"base":7,"result_base":7,"text":"(((≴∭⊉21625≬⋮≴∭⊉11311)⫍⨯↯)⊉≛↸(≴∭⊉14163⨽∌≴∭⊉4504)⨿(≴∭⊉6442∳⫺≴∭⊉5643))∴≳≥=≴∭⊉25322","reverse_text":"≴∭⊉25322=(((≴∭⊉21625≬⋮≴∭⊉11311)⫍⨯↯)⊉≛↸(≴∭⊉14163⨽∌≴∭⊉4504)⨿(≴∭⊉6442∳⫺≴∭⊉5643))∴≳≥","cot":[{"info":"≴∭⊉21625≬⋮≴∭⊉11311=≴∭⊉2350","layer":3},{"info":"≴∭⊉2350⫍⨯↯=≴∭⊉2302","layer":2},{"info":"≴∭⊉14163⨽∌≴∭⊉4504=≴∭⊉0","layer":3},{"info":"≴∭⊉6442∳⫺≴∭⊉5643=≴∭⊉-521","layer":3},{"info":"≴∭⊉0⨿≴∭⊉-521=≴∭⊉232","layer":2},{"info":"≴∭⊉2302⊉≛↸≴∭⊉232=≴∭⊉4604","layer":1},{"info":"≴∭⊉4604∴≳≥=≴∭⊉25322","layer":0}]}
+{"id":102,"expression_no_base_symbol":"(⨆≐≲($3007$⩣⫁∢$3900$⪭($2589$⊔$1427$)))⊾⪯⋞(⇜⊴(↡$1507$)∺≝⩲(⨑⩽⪐$1802$))","expression":"(⨆≐≲(≴∭⊉11524⩣⫁∢≴∭⊉14241⪭(≴∭⊉10356⊔≴∭⊉4106)))⊾⪯⋞(⇜⊴(↡≴∭⊉4252)∺≝⩲(⨑⩽⪐≴∭⊉5153))","highest_n_order":2,"priority_hierarchical_complexity":8,"normalized_expansion_degree":323,"operation_count":9,"complexity_ratio":35.888888888888886,"tree":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":3007,"base":7},"right_expr":{"type":"numeric_atoms","value":3900,"base":7}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":2589,"base":7},"right_expr":{"type":"numeric_atoms","value":1427,"base":7}}}},"right_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"numeric_atoms","value":1507,"base":7}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1802,"base":7}}}}},"used_operators":["HK0tfVPux8","Bi9z9uYZqW","j9kHMeSvPp","JDUIKTTSIa","E4l6HwMY31","XwDhCwWbUn","KPf6cnQVty","MXaNJeIAZ3","AF7qkfDlqP"],"dependent_operators":["s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","COABgblf1C","xUOZtlo3hN","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"≴∭⊉10056","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3007","layer":4},{"info":"number node, value=3900","layer":4},{"info":"compute binary expreesion, left_input=3007, right_input=3900, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-5853","layer":3},{"info":"number node, value=2589","layer":4},{"info":"number node, value=1427","layer":4},{"info":"compute binary expreesion, left_input=2589, right_input=1427, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=9913","layer":3},{"info":"compute binary expreesion, left_input=-5853, right_input=9913, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5679","layer":2},{"info":"compute unary expreesion, input=5679, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=61817496","layer":1},{"info":"number node, value=1507","layer":4},{"info":"compute unary expreesion, input=1507, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=13563","layer":3},{"info":"number node, value=1802","layer":4},{"info":"compute unary expreesion, input=1802, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1529","layer":3},{"info":"compute binary expreesion, left_input=13563, right_input=-1529, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = XwDhCwWbUn, unary_op_definition = '⇜⊴a = { (↩(∓⪦(a≃a))) , if ((a∐⫣)>271 and (a∴779)<=132) ; ((a↢(a⨔⇊a))⊲⩕⊾((a∝a)⊉↱≁(a⊭↱19))) , else }', output=1434","layer":1},{"info":"compute binary expreesion, left_input=61817496, right_input=1434, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=2442","layer":0}],"base":7,"result_base":7,"text":"(⨆≐≲(≴∭⊉11524⩣⫁∢≴∭⊉14241⪭(≴∭⊉10356⊔≴∭⊉4106)))⊾⪯⋞(⇜⊴(↡≴∭⊉4252)∺≝⩲(⨑⩽⪐≴∭⊉5153))=≴∭⊉10056","reverse_text":"≴∭⊉10056=(⨆≐≲(≴∭⊉11524⩣⫁∢≴∭⊉14241⪭(≴∭⊉10356⊔≴∭⊉4106)))⊾⪯⋞(⇜⊴(↡≴∭⊉4252)∺≝⩲(⨑⩽⪐≴∭⊉5153))","cot":[{"info":"≴∭⊉11524⩣⫁∢≴∭⊉14241=≴∭⊉-23031","layer":3},{"info":"≴∭⊉10356⊔≴∭⊉4106=≴∭⊉40621","layer":3},{"info":"≴∭⊉-23031⪭≴∭⊉40621=≴∭⊉22362","layer":2},{"info":"⨆≐≲≴∭⊉22362=≴∭⊉1350303636","layer":1},{"info":"↡≴∭⊉4252=≴∭⊉54354","layer":3},{"info":"⨑⩽⪐≴∭⊉5153=≴∭⊉-4313","layer":3},{"info":"≴∭⊉54354∺≝⩲≴∭⊉-4313=≴∭⊉316","layer":2},{"info":"⇜⊴≴∭⊉316=≴∭⊉4116","layer":1},{"info":"≴∭⊉1350303636⊾⪯⋞≴∭⊉4116=≴∭⊉10056","layer":0}]}
+{"id":103,"expression_no_base_symbol":"≯(($3119$⪢$3699$)∺≝⩲($2726$⩖⊿$2187$)≓∲($1240$⇽⩪)⫁⪎(≔$3545$))","expression":"≯((≴∭⊉12044⪢≴∭⊉13533)∺≝⩲(≴∭⊉10643⩖⊿≴∭⊉6243)≓∲(≴∭⊉3421⇽⩪)⫁⪎(≔≴∭⊉13223))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3861,"operation_count":8,"complexity_ratio":482.625,"tree":{"type":"unary","operator":"≯","unary_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":3119,"base":7},"right_expr":{"type":"numeric_atoms","value":3699,"base":7}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":2726,"base":7},"right_expr":{"type":"numeric_atoms","value":2187,"base":7}}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"unary","operator":"⇽⩪","unary_expr":{"type":"numeric_atoms","value":1240,"base":7}},"right_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"numeric_atoms","value":3545,"base":7}}}}},"used_operators":["keWfFq85dY","s1XTVnmDOJ","KPf6cnQVty","dWAJyo7jo9","RZ5CV9rWsJ","xRrnTEsQ6j","FonBHBYJbU","8FLs4eVsLt"],"dependent_operators":["g55IO6H4Gj","JLbD19bQDL","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","k8jYdgA6NY","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","W4YGzv6Whe","e1ybzncUwg","23Mk6UjR3U","tifHPKVTfV","g55IO6H4Gj","eewbuw0ToL","AF7qkfDlqP","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3119","layer":4},{"info":"number node, value=3699","layer":4},{"info":"compute binary expreesion, left_input=3119, right_input=3699, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=2726","layer":4},{"info":"number node, value=2187","layer":4},{"info":"compute binary expreesion, left_input=2726, right_input=2187, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=6510","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6510, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":2},{"info":"number node, value=1240","layer":4},{"info":"compute unary expreesion, input=1240, op_id = FonBHBYJbU, unary_op_definition = 'a⇽⩪ = { (((≉88)⨰(⨑⩽⪐a))⨸⪁((a+95)⇼⇔∾(a⋷a))) }', output=3002","layer":3},{"info":"number node, value=3545","layer":4},{"info":"compute unary expreesion, input=3545, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-97966","layer":3},{"info":"compute binary expreesion, left_input=3002, right_input=-97966, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=100968","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=100968, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=2383","layer":1},{"info":"compute unary expreesion, input=2383, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":0}],"base":7,"result_base":7,"text":"≯((≴∭⊉12044⪢≴∭⊉13533)∺≝⩲(≴∭⊉10643⩖⊿≴∭⊉6243)≓∲(≴∭⊉3421⇽⩪)⫁⪎(≔≴∭⊉13223))=≴∭⊉0","reverse_text":"≴∭⊉0=≯((≴∭⊉12044⪢≴∭⊉13533)∺≝⩲(≴∭⊉10643⩖⊿≴∭⊉6243)≓∲(≴∭⊉3421⇽⩪)⫁⪎(≔≴∭⊉13223))","cot":[{"info":"≴∭⊉12044⪢≴∭⊉13533=NaN","layer":3},{"info":"≴∭⊉10643⩖⊿≴∭⊉6243=≴∭⊉24660","layer":3},{"info":"NaN∺≝⩲≴∭⊉24660=≴∭⊉316","layer":2},{"info":"≴∭⊉3421⇽⩪=≴∭⊉11516","layer":3},{"info":"≔≴∭⊉13223=≴∭⊉-555421","layer":3},{"info":"≴∭⊉11516⫁⪎≴∭⊉-555421=≴∭⊉600240","layer":2},{"info":"≴∭⊉316≓∲≴∭⊉600240=≴∭⊉6643","layer":1},{"info":"≯≴∭⊉6643=≴∭⊉0","layer":0}]}
+{"id":104,"expression_no_base_symbol":"≑⋹($7014$≁$1591$/($4286$⨵⪆$2388$))⨂≜($1303$∑⇟⊟$2844$∲⫓(↩$3812$))","expression":"≑⋹(≴∭⊉26310≁≴∭⊉4432/(≴∭⊉15332⨵⪆≴∭⊉6651))⨂≜(≴∭⊉3541∑⇟⊟≴∭⊉11202∲⫓(↩≴∭⊉14054))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":511,"operation_count":8,"complexity_ratio":63.875,"tree":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":7014,"base":7},"right_expr":{"type":"numeric_atoms","value":1591,"base":7}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":4286,"base":7},"right_expr":{"type":"numeric_atoms","value":2388,"base":7}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1303,"base":7},"right_expr":{"type":"numeric_atoms","value":2844,"base":7}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":3812,"base":7}}}}},"used_operators":["6B9nyZLogK","k1SHOSEABc","XhwjNDsVaA","8N2wDY1A35","2DQ55sFlQl","i8ToyICDmI","U7g4x0WXJJ","jLgFTUHLKL"],"dependent_operators":["aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","rysDP5nf3Z","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=7014","layer":4},{"info":"number node, value=1591","layer":4},{"info":"compute binary expreesion, left_input=7014, right_input=1591, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=24983","layer":3},{"info":"number node, value=4286","layer":4},{"info":"number node, value=2388","layer":4},{"info":"compute binary expreesion, left_input=4286, right_input=2388, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=24983, right_input=160, op_id = XhwjNDsVaA binary_op_definition= 'None', output=156","layer":2},{"info":"number node, value=1303","layer":4},{"info":"number node, value=2844","layer":4},{"info":"compute binary expreesion, left_input=1303, right_input=2844, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=3812","layer":4},{"info":"compute unary expreesion, input=3812, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-27716","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-27716, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=156, right_input=nan, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"≑⋹(≴∭⊉26310≁≴∭⊉4432/(≴∭⊉15332⨵⪆≴∭⊉6651))⨂≜(≴∭⊉3541∑⇟⊟≴∭⊉11202∲⫓(↩≴∭⊉14054))=NaN","reverse_text":"NaN=≑⋹(≴∭⊉26310≁≴∭⊉4432/(≴∭⊉15332⨵⪆≴∭⊉6651))⨂≜(≴∭⊉3541∑⇟⊟≴∭⊉11202∲⫓(↩≴∭⊉14054))","cot":[{"info":"≴∭⊉26310≁≴∭⊉4432=≴∭⊉132560","layer":3},{"info":"≴∭⊉15332⨵⪆≴∭⊉6651=≴∭⊉316","layer":3},{"info":"≴∭⊉132560/≴∭⊉316=≴∭⊉312","layer":2},{"info":"≴∭⊉3541∑⇟⊟≴∭⊉11202=NaN","layer":3},{"info":"↩≴∭⊉14054=≴∭⊉-143543","layer":3},{"info":"NaN∲⫓≴∭⊉-143543=NaN","layer":2},{"info":"≴∭⊉312⨂≜NaN=NaN","layer":1},{"info":"≑⋹NaN=NaN","layer":0}]}
+{"id":105,"expression_no_base_symbol":"(($5136$⪡$2373$⊋≦⊧($1084$⩉⊫⨁))⋣⋖($5015$⫒⫫$1184$⫍⨯↯))∳⫺(($3072$∑⇟⊟$2650$)≦↸($2263$⪎↠$5283$)⊋≦⊧(($6720$⫚↹⊑$1045$)≃⋄))","expression":"((≴∭⊉20655⪡≴∭⊉6630⊋≦⊧(≴∭⊉3106⩉⊫⨁))⋣⋖(≴∭⊉20423⫒⫫≴∭⊉3311⫍⨯↯))∳⫺((≴∭⊉11646∑⇟⊟≴∭⊉10504)≦↸(≴∭⊉6412⪎↠≴∭⊉21255)⊋≦⊧((≴∭⊉25410⫚↹⊑≴∭⊉3022)≃⋄))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":194,"operation_count":13,"complexity_ratio":14.923076923076923,"tree":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":5136,"base":7},"right_expr":{"type":"numeric_atoms","value":2373,"base":7}},"right_expr":{"type":"unary","operator":"⩉⊫⨁","unary_expr":{"type":"numeric_atoms","value":1084,"base":7}}},"right_expr":{"type":"unary","operator":"⫍⨯↯","unary_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":5015,"base":7},"right_expr":{"type":"numeric_atoms","value":1184,"base":7}}}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3072,"base":7},"right_expr":{"type":"numeric_atoms","value":2650,"base":7}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":2263,"base":7},"right_expr":{"type":"numeric_atoms","value":5283,"base":7}}},"right_expr":{"type":"unary","operator":"≃⋄","unary_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":6720,"base":7},"right_expr":{"type":"numeric_atoms","value":1045,"base":7}}}}},"used_operators":["AzXXKTstlj","J0M6qkBnIM","oRDoc9rAEX","oraRL2iQuh","7qqUquhhSb","ZcwmYACASQ","6Ko8hGgeMq","RygbFNSyEJ","U7g4x0WXJJ","3tVxb0NHM4","aN9a90urxU","dfKe02y8D2"],"dependent_operators":["F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","7j4O788W3g","23Mk6UjR3U","2DDjHMKMc0","Qy55tPpLXF","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","uFcxV4UQCh","jLgFTUHLKL","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj"],"result":"≴∭⊉-521","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=5136","layer":4},{"info":"number node, value=2373","layer":4},{"info":"compute binary expreesion, left_input=5136, right_input=2373, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"number node, value=1084","layer":4},{"info":"compute unary expreesion, input=1084, op_id = 7qqUquhhSb, unary_op_definition = 'a⩉⊫⨁ = { (331↺a) }', output=1084","layer":3},{"info":"compute binary expreesion, left_input=107, right_input=1084, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=192","layer":2},{"info":"number node, value=5015","layer":4},{"info":"number node, value=1184","layer":4},{"info":"compute binary expreesion, left_input=5015, right_input=1184, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = ZcwmYACASQ, unary_op_definition = 'a⫍⨯↯ = { ((a⋥≓≎a)⋷(a⋝⋈⪟337)) }', output=-134","layer":2},{"info":"compute binary expreesion, left_input=192, right_input=-134, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=192","layer":1},{"info":"number node, value=3072","layer":4},{"info":"number node, value=2650","layer":4},{"info":"compute binary expreesion, left_input=3072, right_input=2650, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=2263","layer":4},{"info":"number node, value=5283","layer":4},{"info":"compute binary expreesion, left_input=2263, right_input=5283, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=nan","layer":2},{"info":"number node, value=6720","layer":4},{"info":"number node, value=1045","layer":4},{"info":"compute binary expreesion, left_input=6720, right_input=1045, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"compute unary expreesion, input=-447, op_id = aN9a90urxU, unary_op_definition = 'a≃⋄ = { (↩(252⪛a)) }', output=3400","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3400, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=192, right_input=nan, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉20655⪡≴∭⊉6630⊋≦⊧(≴∭⊉3106⩉⊫⨁))⋣⋖(≴∭⊉20423⫒⫫≴∭⊉3311⫍⨯↯))∳⫺((≴∭⊉11646∑⇟⊟≴∭⊉10504)≦↸(≴∭⊉6412⪎↠≴∭⊉21255)⊋≦⊧((≴∭⊉25410⫚↹⊑≴∭⊉3022)≃⋄))=≴∭⊉-521","reverse_text":"≴∭⊉-521=((≴∭⊉20655⪡≴∭⊉6630⊋≦⊧(≴∭⊉3106⩉⊫⨁))⋣⋖(≴∭⊉20423⫒⫫≴∭⊉3311⫍⨯↯))∳⫺((≴∭⊉11646∑⇟⊟≴∭⊉10504)≦↸(≴∭⊉6412⪎↠≴∭⊉21255)⊋≦⊧((≴∭⊉25410��↹⊑≴∭⊉3022)≃⋄))","cot":[{"info":"≴∭⊉20655⪡≴∭⊉6630=≴∭⊉212","layer":3},{"info":"≴∭⊉3106⩉⊫⨁=≴∭⊉3106","layer":3},{"info":"≴∭⊉212⊋≦⊧≴∭⊉3106=≴∭⊉363","layer":2},{"info":"≴∭⊉20423⫒⫫≴∭⊉3311=NaN","layer":3},{"info":"NaN⫍⨯↯=≴∭⊉-251","layer":2},{"info":"≴∭⊉363⋣⋖≴∭⊉-251=≴∭⊉363","layer":1},{"info":"≴∭⊉11646∑⇟⊟≴∭⊉10504=NaN","layer":3},{"info":"≴∭⊉6412⪎↠≴∭⊉21255=≴∭⊉316","layer":3},{"info":"NaN≦↸≴∭⊉316=NaN","layer":2},{"info":"≴∭⊉25410⫚↹⊑≴∭⊉3022=≴∭⊉-1206","layer":3},{"info":"≴∭⊉-1206≃⋄=≴∭⊉12625","layer":2},{"info":"NaN⊋≦⊧≴∭⊉12625=NaN","layer":1},{"info":"≴∭⊉363∳⫺NaN=≴∭⊉-521","layer":0}]}
+{"id":106,"expression_no_base_symbol":"≅≯⇸(($1554$⨫⇇↔$5747$)⩼⇪↪($2105$⇴∐$4996$)⩁)","expression":"≅≯⇸((≴∭⊉4350⨫⇇↔≴∭⊉22520)⩼⇪↪(≴∭⊉6065⇴∐≴∭⊉20365)⩁)","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":88,"operation_count":5,"complexity_ratio":17.6,"tree":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"unary","operator":"⩁","unary_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":1554,"base":7},"right_expr":{"type":"numeric_atoms","value":5747,"base":7}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":2105,"base":7},"right_expr":{"type":"numeric_atoms","value":4996,"base":7}}}}},"used_operators":["apS25hmuAe","5GqDbVmqXU","ocnLzx9CaJ","LXhwmt4mBO","HnzytWxmAO"],"dependent_operators":["EBcxylXtPf","QMFrweE19q","7j4O788W3g","jLgFTUHLKL","8cLx32lpNA","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1554","layer":4},{"info":"number node, value=5747","layer":4},{"info":"compute binary expreesion, left_input=1554, right_input=5747, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"number node, value=2105","layer":4},{"info":"number node, value=4996","layer":4},{"info":"compute binary expreesion, left_input=2105, right_input=4996, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-527, right_input=nan, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 5GqDbVmqXU, unary_op_definition = 'a⩁ = { ((↩a)∌(a↺a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"≅≯⇸((≴∭⊉4350⨫⇇↔≴∭⊉22520)⩼⇪↪(≴∭⊉6065⇴∐≴∭⊉20365)⩁)=NaN","reverse_text":"NaN=≅≯⇸((≴∭⊉4350⨫⇇↔≴∭⊉22520)⩼⇪↪(≴∭⊉6065⇴∐≴∭⊉20365)⩁)","cot":[{"info":"≴∭⊉4350⨫⇇↔≴∭⊉22520=≴∭⊉-1352","layer":3},{"info":"≴∭⊉6065⇴∐≴∭⊉20365=NaN","layer":3},{"info":"≴∭⊉-1352⩼⇪↪NaN=NaN","layer":2},{"info":"NaN⩁=NaN","layer":1},{"info":"≅≯⇸NaN=NaN","layer":0}]}
+{"id":107,"expression_no_base_symbol":"(($5928$⊢$4955$∙∹∝$3753$⋓$3859$)⨫⇇↔($4179$⋓$1711$⩚⊴⇥$1196$↳∿⪆$1391$))≌($1922$∘$1458$⨟⋌⩍($1400$⪊≅))⨂≜(($3701$⋓$1516$)∌($3690$⨑≵⋬$1556$))","expression":"((≴∭⊉23166⊢≴∭⊉20306∙∹∝≴∭⊉13641⋓≴∭⊉14152)⨫⇇↔(≴∭⊉15120⋓≴∭⊉4663⩚⊴⇥≴∭⊉3326↳∿⪆≴∭⊉4025))≌(≴∭⊉5414∘≴∭⊉4152⨟⋌⩍(≴∭⊉4040⪊≅))⨂≜((≴∭⊉13535⋓≴∭⊉4264)∌(≴∭⊉13521⨑≵⋬≴∭⊉4352))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":6472,"operation_count":15,"complexity_ratio":431.46666666666664,"tree":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":5928,"base":7},"right_expr":{"type":"numeric_atoms","value":4955,"base":7}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3753,"base":7},"right_expr":{"type":"numeric_atoms","value":3859,"base":7}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":4179,"base":7},"right_expr":{"type":"numeric_atoms","value":1711,"base":7}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":1196,"base":7},"right_expr":{"type":"numeric_atoms","value":1391,"base":7}}}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":1922,"base":7},"right_expr":{"type":"numeric_atoms","value":1458,"base":7}},"right_expr":{"type":"unary","operator":"⪊≅","unary_expr":{"type":"numeric_atoms","value":1400,"base":7}}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3701,"base":7},"right_expr":{"type":"numeric_atoms","value":1516,"base":7}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":3690,"base":7},"right_expr":{"type":"numeric_atoms","value":1556,"base":7}}}}},"used_operators":["lyWz822IDG","LXhwmt4mBO","HmxsFra2vL","5twsqlHp2o","T2fj7uvVaJ","NTOWxs364D","Cw4SuJJGHO","k1SHOSEABc","rGHVDoGpnC","Z5m6OM72h2","bjFbhXSADs","8cLx32lpNA","XnXgA4xnOs"],"dependent_operators":["B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","Tcnh7f0tEr","eH2TOUuTDT","rysDP5nf3Z","COABgblf1C","JLbD19bQDL","nCS4ZIUYfx","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5928","layer":4},{"info":"number node, value=4955","layer":4},{"info":"compute binary expreesion, left_input=5928, right_input=4955, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-12100","layer":3},{"info":"number node, value=3753","layer":4},{"info":"number node, value=3859","layer":4},{"info":"compute binary expreesion, left_input=3753, right_input=3859, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-12100, right_input=0, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":2},{"info":"number node, value=4179","layer":4},{"info":"number node, value=1711","layer":4},{"info":"compute binary expreesion, left_input=4179, right_input=1711, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"number node, value=1196","layer":4},{"info":"number node, value=1391","layer":4},{"info":"compute binary expreesion, left_input=1196, right_input=1391, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":1},{"info":"number node, value=1922","layer":4},{"info":"number node, value=1458","layer":4},{"info":"compute binary expreesion, left_input=1922, right_input=1458, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=3844","layer":3},{"info":"number node, value=1400","layer":4},{"info":"compute unary expreesion, input=1400, op_id = bjFbhXSADs, unary_op_definition = 'a⪊≅ = { (377⪠⩆⊳) , if (a⊭↱876)>=867 ; (a⨳⩥⨓a) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=3844, right_input=0, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=3844","layer":2},{"info":"number node, value=3701","layer":4},{"info":"number node, value=1516","layer":4},{"info":"compute binary expreesion, left_input=3701, right_input=1516, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"number node, value=3690","layer":4},{"info":"number node, value=1556","layer":4},{"info":"compute binary expreesion, left_input=3690, right_input=1556, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=8937","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=8937, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-8937","layer":2},{"info":"compute binary expreesion, left_input=3844, right_input=-8937, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-527, right_input=nan, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉23166⊢≴∭⊉20306∙∹∝≴∭⊉13641⋓≴∭⊉14152)⨫⇇↔(≴∭⊉15120⋓≴∭⊉4663⩚⊴⇥≴∭⊉3326↳∿⪆≴∭⊉4025))≌(≴∭⊉5414∘≴∭⊉4152⨟⋌⩍(≴∭⊉4040⪊≅))⨂≜((≴∭⊉13535⋓≴∭⊉4264)∌(≴∭⊉13521⨑≵⋬≴∭⊉4352))=NaN","reverse_text":"NaN=((≴∭⊉23166⊢≴∭⊉20306∙∹∝≴∭⊉13641⋓≴∭⊉14152)⨫⇇↔(≴∭⊉15120⋓≴∭⊉4663⩚⊴⇥≴∭⊉3326↳∿⪆≴∭⊉4025))≌(≴∭⊉5414∘≴∭⊉4152⨟⋌⩍(≴∭⊉4040⪊≅))⨂≜((≴∭⊉13535⋓≴∭⊉4264)∌(≴∭⊉13521⨑≵⋬≴∭⊉4352))","cot":[{"info":"≴∭⊉23166⊢≴∭⊉20306=≴∭⊉-50164","layer":3},{"info":"≴∭⊉13641⋓≴∭⊉14152=≴∭⊉0","layer":3},{"info":"≴∭⊉-50164∙∹∝≴∭⊉0=≴∭⊉0","layer":2},{"info":"≴∭⊉15120⋓≴∭⊉4663=≴∭⊉0","layer":3},{"info":"≴∭⊉3326↳∿⪆≴∭⊉4025=NaN","layer":3},{"info":"≴∭⊉0⩚⊴⇥NaN=NaN","layer":2},{"info":"≴∭⊉0⨫⇇↔NaN=≴∭⊉-1352","layer":1},{"info":"≴∭⊉5414∘≴∭⊉4152=≴∭⊉14131","layer":3},{"info":"≴∭⊉4040⪊≅=≴∭⊉0","layer":3},{"info":"≴∭⊉14131⨟⋌⩍≴∭⊉0=≴∭⊉14131","layer":2},{"info":"≴∭⊉13535⋓≴∭⊉4264=≴∭⊉0","layer":3},{"info":"≴∭⊉13521⨑≵⋬≴∭⊉4352=≴∭⊉35025","layer":3},{"info":"≴∭⊉0∌≴∭⊉35025=≴∭⊉-35025","layer":2},{"info":"≴∭⊉14131⨂≜≴∭⊉-35025=NaN","layer":1},{"info":"≴∭⊉-1352≌NaN=NaN","layer":0}]}
+{"id":108,"expression_no_base_symbol":"(⇾⩊⇾$4214$⇡⇂$2542$)⇡⇂(($3384$∟)⪢(⪛⨧$5688$))⪁(⊽(($4026$⫦⪉$2332$)∼$5313$∥⊢⊲$2867$))","expression":"(⇾⩊⇾≴∭⊉15200⇡⇂≴∭⊉10261)⇡⇂((≴∭⊉12603∟)⪢(⪛⨧≴∭⊉22404))⪁(⊽((≴∭⊉14511⫦⪉≴∭⊉6541)∼≴∭⊉21330∥⊢⊲≴∭⊉11234))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":28720,"operation_count":11,"complexity_ratio":2610.909090909091,"tree":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":4214,"base":7},"right_expr":{"type":"numeric_atoms","value":2542,"base":7}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"∟","unary_expr":{"type":"numeric_atoms","value":3384,"base":7}},"right_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"numeric_atoms","value":5688,"base":7}}}},"right_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":4026,"base":7},"right_expr":{"type":"numeric_atoms","value":2332,"base":7}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":5313,"base":7},"right_expr":{"type":"numeric_atoms","value":2867,"base":7}}}}},"used_operators":["I7sXao9hZE","UMwdvZNt44","bx9Z9DAK5y","dWAJyo7jo9","hTbEZDJLEm","6NJAcO2OWT","QxG7OkqoLX","DyGG3AbaNP","wscyQdcy20","v1UQAVDJRr"],"dependent_operators":["dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","k8jYdgA6NY","KPf6cnQVty","zVYPLywUTj","AFVx7xoS7T","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","EBcxylXtPf","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4214","layer":4},{"info":"number node, value=2542","layer":4},{"info":"compute binary expreesion, left_input=4214, right_input=2542, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=nan","layer":2},{"info":"number node, value=3384","layer":4},{"info":"compute unary expreesion, input=3384, op_id = hTbEZDJLEm, unary_op_definition = 'a∟ = { ((58∺≝⩲a)⇌⫙⪟(a⊪)) }', output=113","layer":3},{"info":"number node, value=5688","layer":4},{"info":"compute unary expreesion, input=5688, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=12777","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=12777, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":1},{"info":"number node, value=4026","layer":4},{"info":"number node, value=2332","layer":4},{"info":"compute binary expreesion, left_input=4026, right_input=2332, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-3152","layer":3},{"info":"number node, value=5313","layer":4},{"info":"number node, value=2867","layer":4},{"info":"compute binary expreesion, left_input=5313, right_input=2867, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-3152, right_input=nan, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(⇾⩊⇾≴∭⊉15200⇡⇂≴∭⊉10261)⇡⇂((≴∭⊉12603∟)⪢(⪛⨧≴∭⊉22404))⪁(⊽((≴∭⊉14511⫦⪉≴∭⊉6541)∼≴∭⊉21330∥⊢⊲≴∭⊉11234))=NaN","reverse_text":"NaN=(⇾⩊⇾≴∭⊉15200⇡⇂≴∭⊉10261)⇡⇂((≴∭⊉12603∟)⪢(⪛⨧≴∭⊉22404))⪁(⊽((≴∭⊉14511⫦⪉≴∭⊉6541)∼≴∭⊉21330∥⊢⊲≴∭⊉11234))","cot":[{"info":"≴∭⊉15200⇡⇂≴∭⊉10261=NaN","layer":3},{"info":"⇾⩊⇾NaN=NaN","layer":2},{"info":"≴∭⊉12603∟=≴∭⊉221","layer":3},{"info":"⪛⨧≴∭⊉22404=≴∭⊉52152","layer":3},{"info":"≴∭⊉221⪢≴∭⊉52152=NaN","layer":2},{"info":"NaN⇡⇂NaN=NaN","layer":1},{"info":"≴∭⊉14511⫦⪉≴∭⊉6541=≴∭⊉-12122","layer":3},{"info":"≴∭⊉21330∥⊢⊲≴∭⊉11234=NaN","layer":3},{"info":"≴∭⊉-12122∼NaN=NaN","layer":2},{"info":"⊽NaN=NaN","layer":1},{"info":"NaN⪁NaN=NaN","layer":0}]}
+{"id":109,"expression_no_base_symbol":"($1041$⇴$1511$)⨐($1347$⋭≵$1004$)↬($4796$⫁$2227$≫≃)⪹","expression":"(≴∭⊉3015⇴≴∭⊉4256)⨐(≴∭⊉3633⋭≵≴∭⊉2633)↬(≴∭⊉16661⫁≴∭⊉6331≫≃)⪹","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":193,"operation_count":7,"complexity_ratio":27.571428571428573,"tree":{"type":"unary","operator":"⪹","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":1041,"base":7},"right_expr":{"type":"numeric_atoms","value":1511,"base":7}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":1347,"base":7},"right_expr":{"type":"numeric_atoms","value":1004,"base":7}}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":4796,"base":7},"right_expr":{"type":"numeric_atoms","value":2227,"base":7}}}}},"used_operators":["B3sABdIn96","B5M0gjZbta","Noe24qw2ks","4JB6nKBMSY","jBncVCNhdl","X99M06cbEe","0ajvFaJAv0"],"dependent_operators":["9FxExcQeMw","e1ybzncUwg","QMFrweE19q","rGHVDoGpnC","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","sdazOOVcIp","NTOWxs364D","COABgblf1C","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","cHh1gJQ2o6","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1041","layer":4},{"info":"number node, value=1511","layer":4},{"info":"compute binary expreesion, left_input=1041, right_input=1511, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=8882","layer":3},{"info":"number node, value=1347","layer":4},{"info":"number node, value=1004","layer":4},{"info":"compute binary expreesion, left_input=1347, right_input=1004, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=8882, right_input=67, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-17764","layer":2},{"info":"number node, value=4796","layer":4},{"info":"number node, value=2227","layer":4},{"info":"compute binary expreesion, left_input=4796, right_input=2227, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=1721","layer":2},{"info":"compute binary expreesion, left_input=-17764, right_input=1721, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = B3sABdIn96, unary_op_definition = 'a⪹ = { ((402⫡⨏a)⩷∴(≉a)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉3015⇴≴∭⊉4256)⨐(≴∭⊉3633⋭≵≴∭⊉2633)↬(≴∭⊉16661⫁≴∭⊉6331≫≃)⪹=NaN","reverse_text":"NaN=(≴∭⊉3015⇴≴∭⊉4256)⨐(≴∭⊉3633⋭≵≴∭⊉2633)↬(≴∭⊉16661⫁≴∭⊉6331≫≃)⪹","cot":[{"info":"≴∭⊉3015⇴≴∭⊉4256=≴∭⊉34616","layer":3},{"info":"≴∭⊉3633⋭≵≴∭⊉2633=≴∭⊉124","layer":3},{"info":"≴∭⊉34616⨐≴∭⊉124=≴∭⊉-102535","layer":2},{"info":"≴∭⊉16661⫁≴∭⊉6331=≴∭⊉316","layer":3},{"info":"≴∭⊉316≫≃=≴∭⊉5006","layer":2},{"info":"≴∭⊉-102535↬≴∭⊉5006=NaN","layer":1},{"info":"NaN⪹=NaN","layer":0}]}
+{"id":110,"expression_no_base_symbol":"((⩦⩻⨪$4152$⨐$8514$)⋷($4225$⪕$7165$∕⩚$3339$⪪$1650$))⨐(((⩦⊞$4201$)⪠⩆⊳)⊝⪿⪼($1706$↼⊘⨖$1519$∲⫓$4393$⨐⩸⫘$6803$))","expression":"((⩦⩻⨪≴∭⊉15051⨐≴∭⊉33552)⋷(≴∭⊉15214⪕≴∭⊉26614∕⩚≴∭⊉12510⪪≴∭⊉4545))⨐(((⩦⊞≴∭⊉15151)⪠⩆⊳)⊝⪿⪼(≴∭⊉4655↼⊘⨖≴∭⊉4300∲⫓≴∭⊉15544⨐⩸⫘≴∭⊉25556))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":10234,"operation_count":13,"complexity_ratio":787.2307692307693,"tree":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":4152,"base":7},"right_expr":{"type":"numeric_atoms","value":8514,"base":7}}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":4225,"base":7},"right_expr":{"type":"numeric_atoms","value":7165,"base":7}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":3339,"base":7},"right_expr":{"type":"numeric_atoms","value":1650,"base":7}}}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"numeric_atoms","value":4201,"base":7}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":1706,"base":7},"right_expr":{"type":"numeric_atoms","value":1519,"base":7}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":4393,"base":7},"right_expr":{"type":"numeric_atoms","value":6803,"base":7}}}}},"used_operators":["Noe24qw2ks","23Mk6UjR3U","2td37pGCOC","z9ffQ9n5Zr","umQnsF7QlU","xD69zh8xqp","3Oe9XWJUTD","JLbD19bQDL","u7fv1HBiaC","i8ToyICDmI","bPywburJMS","fu6greOZ01"],"dependent_operators":["u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","FU0Cs4j7VP","JclMnS0uGI","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","3ViojmjbAp"],"result":"��∭⊉-165561","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4152","layer":4},{"info":"number node, value=8514","layer":4},{"info":"compute binary expreesion, left_input=4152, right_input=8514, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-8304","layer":3},{"info":"compute unary expreesion, input=-8304, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-8304","layer":2},{"info":"number node, value=4225","layer":4},{"info":"number node, value=7165","layer":4},{"info":"compute binary expreesion, left_input=4225, right_input=7165, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=2186","layer":3},{"info":"number node, value=3339","layer":4},{"info":"number node, value=1650","layer":4},{"info":"compute binary expreesion, left_input=3339, right_input=1650, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-500278","layer":3},{"info":"compute binary expreesion, left_input=2186, right_input=-500278, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":2},{"info":"compute binary expreesion, left_input=-8304, right_input=-487, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=16608","layer":1},{"info":"number node, value=4201","layer":4},{"info":"compute unary expreesion, input=4201, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-3928","layer":3},{"info":"compute unary expreesion, input=-3928, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":2},{"info":"number node, value=1706","layer":4},{"info":"number node, value=1519","layer":4},{"info":"compute binary expreesion, left_input=1706, right_input=1519, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=2816","layer":3},{"info":"number node, value=4393","layer":4},{"info":"number node, value=6803","layer":4},{"info":"compute binary expreesion, left_input=4393, right_input=6803, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2816, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=9932","layer":1},{"info":"compute binary expreesion, left_input=16608, right_input=9932, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-33216","layer":0}],"base":7,"result_base":7,"text":"((⩦⩻⨪≴∭⊉15051⨐≴∭⊉33552)⋷(≴∭⊉15214⪕≴∭⊉26614∕⩚≴∭⊉12510⪪≴∭⊉4545))⨐(((⩦⊞≴∭⊉15151)⪠⩆⊳)⊝⪿⪼(≴∭⊉4655↼⊘⨖≴∭⊉4300∲⫓≴∭⊉15544⨐⩸⫘≴∭⊉25556))=≴∭⊉-165561","reverse_text":"≴∭⊉-165561=((⩦⩻⨪≴∭⊉15051⨐≴∭⊉33552)⋷(≴∭⊉15214⪕≴∭⊉26614∕⩚≴∭⊉12510⪪≴∭⊉4545))⨐(((⩦⊞≴∭⊉15151)⪠⩆⊳)⊝⪿⪼(≴∭⊉4655↼⊘⨖≴∭⊉4300∲⫓≴∭⊉15544⨐⩸⫘≴∭⊉25556))","cot":[{"info":"≴∭⊉15051⨐≴∭⊉33552=≴∭⊉-33132","layer":3},{"info":"⩦⩻⨪≴∭⊉-33132=≴∭⊉-33132","layer":2},{"info":"≴∭⊉15214⪕≴∭⊉26614=≴∭⊉6242","layer":3},{"info":"≴∭⊉12510⪪≴∭⊉4545=≴∭⊉-4152352","layer":3},{"info":"≴∭⊉6242∕⩚≴∭⊉-4152352=≴∭⊉-1264","layer":2},{"info":"≴∭⊉-33132⋷≴∭⊉-1264=≴∭⊉66264","layer":1},{"info":"⩦⊞≴∭⊉15151=≴∭⊉-14311","layer":3},{"info":"≴∭⊉-14311⪠⩆⊳=≴∭⊉0","layer":2},{"info":"≴∭⊉4655↼⊘⨖≴∭⊉4300=≴∭⊉11132","layer":3},{"info":"≴∭⊉15544⨐⩸⫘≴∭⊉25556=NaN","layer":3},{"info":"≴∭⊉11132∲⫓NaN=NaN","layer":2},{"info":"≴∭⊉0⊝⪿⪼NaN=≴∭⊉40646","layer":1},{"info":"≴∭⊉66264⨐≴∭⊉40646=≴∭⊉-165561","layer":0}]}
+{"id":111,"expression_no_base_symbol":"(($2890$⫰⋱$5355$)↳≱(⊥$2101$)⊹∫⫚(($8026$⨀⨒)%$1083$∙⊟$1244$))⨓(⋗⩬⋾($1243$⩵∡$4751$)⋝⋈⪟$2940$⫁⪎$5023$)","expression":"((≴∭⊉11266⫰⋱≴∭⊉21420)↳≱(⊥≴∭⊉6061)⊹∫⫚((≴∭⊉32254⨀⨒)%≴∭⊉3105∙⊟≴∭⊉3425))⨓(⋗⩬⋾(≴∭⊉3424⩵∡≴∭⊉16565)⋝⋈⪟≴∭⊉11400⫁⪎≴∭⊉20434)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":7881,"operation_count":12,"complexity_ratio":656.75,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":2890,"base":7},"right_expr":{"type":"numeric_atoms","value":5355,"base":7}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":2101,"base":7}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⨀⨒","unary_expr":{"type":"numeric_atoms","value":8026,"base":7}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":1083,"base":7},"right_expr":{"type":"numeric_atoms","value":1244,"base":7}}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":1243,"base":7},"right_expr":{"type":"numeric_atoms","value":4751,"base":7}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":2940,"base":7},"right_expr":{"type":"numeric_atoms","value":5023,"base":7}}}}},"used_operators":["3ViojmjbAp","uWAJUKEvyW","JwTKLfZU96","6o9Blt3TJ6","Q3PJZHRvZv","k8jYdgA6NY","j6NVkjMzuk","SxTAKzQCrw","DpFCA1CohY","2DDjHMKMc0","Y7wcNGrDQJ","xRrnTEsQ6j"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","fu6greOZ01","rysDP5nf3Z","E4l6HwMY31","Ikt5ks8PT7","HmxsFra2vL","oacrs7FA3X","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","glklzrTFfD","tifHPKVTfV","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI"],"result":"≴∭⊉24513","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2890","layer":4},{"info":"number node, value=5355","layer":4},{"info":"compute binary expreesion, left_input=2890, right_input=5355, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-2857","layer":3},{"info":"number node, value=2101","layer":4},{"info":"compute unary expreesion, input=2101, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-2857, right_input=nan, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":2},{"info":"number node, value=8026","layer":4},{"info":"compute unary expreesion, input=8026, op_id = j6NVkjMzuk, unary_op_definition = 'a⨀⨒ = { ((a⪘⫢a)⊔(a⪘⫢a)) , if a!=184 ; ((a⩧⪆a)∙∹∝a) , else }', output=109096","layer":3},{"info":"number node, value=1083","layer":4},{"info":"number node, value=1244","layer":4},{"info":"compute binary expreesion, left_input=1083, right_input=1244, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=23925","layer":3},{"info":"compute binary expreesion, left_input=109096, right_input=23925, op_id = k8jYdgA6NY binary_op_definition= 'None', output=13396","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=13396, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-272","layer":1},{"info":"number node, value=1243","layer":4},{"info":"number node, value=4751","layer":4},{"info":"compute binary expreesion, left_input=1243, right_input=4751, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=2144","layer":3},{"info":"number node, value=2940","layer":4},{"info":"number node, value=5023","layer":4},{"info":"compute binary expreesion, left_input=2940, right_input=5023, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-2083","layer":3},{"info":"compute binary expreesion, left_input=2144, right_input=-2083, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2144","layer":2},{"info":"compute unary expreesion, input=2144, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-6432","layer":1},{"info":"compute binary expreesion, left_input=-272, right_input=-6432, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=6429","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉11266⫰⋱≴∭⊉21420)↳≱(⊥≴∭⊉6061)⊹∫⫚((≴∭⊉32254⨀⨒)%≴∭⊉3105∙⊟≴∭⊉3425))⨓(⋗⩬⋾(≴∭⊉3424⩵∡≴∭⊉16565)⋝⋈⪟��∭⊉11400⫁⪎≴∭⊉20434)=≴∭⊉24513","reverse_text":"≴∭⊉24513=((≴∭⊉11266⫰⋱≴∭⊉21420)↳≱(⊥≴∭⊉6061)⊹∫⫚((≴∭⊉32254⨀⨒)%≴∭⊉3105∙⊟≴∭⊉3425))⨓(⋗⩬⋾(≴∭⊉3424⩵∡≴∭⊉16565)⋝⋈⪟≴∭⊉11400⫁⪎≴∭⊉20434)","cot":[{"info":"≴∭⊉11266⫰⋱≴∭⊉21420=≴∭⊉-11221","layer":3},{"info":"⊥≴∭⊉6061=NaN","layer":3},{"info":"≴∭⊉-11221↳≱NaN=≴∭⊉0","layer":2},{"info":"≴∭⊉32254⨀⨒=≴∭⊉633031","layer":3},{"info":"≴∭⊉3105∙⊟≴∭⊉3425=≴∭⊉126516","layer":3},{"info":"≴∭⊉633031%≴∭⊉126516=≴∭⊉54025","layer":2},{"info":"≴∭⊉0⊹∫⫚≴∭⊉54025=≴∭⊉-536","layer":1},{"info":"≴∭⊉3424⩵∡≴∭⊉16565=≴∭⊉6152","layer":3},{"info":"≴∭⊉11400⫁⪎≴∭⊉20434=≴∭⊉-6034","layer":3},{"info":"≴∭⊉6152⋝⋈⪟≴∭⊉-6034=≴∭⊉6152","layer":2},{"info":"⋗⩬⋾≴∭⊉6152=≴∭⊉-24516","layer":1},{"info":"≴∭⊉-536⨓≴∭⊉-24516=≴∭⊉24513","layer":0}]}
+{"id":112,"expression_no_base_symbol":"(∤↝($2783$⪉⨛$1490$)⪥($1769$≃$3654$))∠⫱(↽≂$1700$⨥⫆$4087$)≠≀($3132$∙∹∝$2109$∷$2149$⪭≯$2060$)","expression":"(∤↝(≴∭⊉11054⪉⨛≴∭⊉4226)⪥(≴∭⊉5105≃≴∭⊉13440))∠⫱(↽≂≴∭⊉4646⨥⫆≴∭⊉14626)≠≀(≴∭⊉12063∙∹∝≴∭⊉6102∷≴∭⊉6160⪭≯≴∭⊉6002)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":294,"operation_count":11,"complexity_ratio":26.727272727272727,"tree":{"type":"binary","operator":"∠⫱","left_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":2783,"base":7},"right_expr":{"type":"numeric_atoms","value":1490,"base":7}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":1769,"base":7},"right_expr":{"type":"numeric_atoms","value":3654,"base":7}}}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":1700,"base":7},"right_expr":{"type":"numeric_atoms","value":4087,"base":7}}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":3132,"base":7},"right_expr":{"type":"numeric_atoms","value":2109,"base":7}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":2149,"base":7},"right_expr":{"type":"numeric_atoms","value":2060,"base":7}}}}},"used_operators":["QvoQhV0rrE","3UMq87Qwqg","QbnwKVWMIQ","EWw2JM7wp4","YbVcJGFEVW","IwW236VD4Y","u6S6b8DprG","yXekIHxTD4","D3AQDKkPcf","HmxsFra2vL","XAx5wpdLa6"],"dependent_operators":["eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","9FxExcQeMw","NTOWxs364D","7j4O788W3g","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW"],"result":"≴∭⊉3412","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2783","layer":4},{"info":"number node, value=1490","layer":4},{"info":"compute binary expreesion, left_input=2783, right_input=1490, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=7074","layer":3},{"info":"number node, value=1769","layer":4},{"info":"number node, value=3654","layer":4},{"info":"compute binary expreesion, left_input=1769, right_input=3654, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-7116","layer":3},{"info":"compute binary expreesion, left_input=7074, right_input=-7116, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=-116","layer":2},{"info":"compute unary expreesion, input=-116, op_id = 3UMq87Qwqg, unary_op_definition = '∤↝a = { a , if ((a⊬⨰244)<=56 or (⫇a)>308 or (a⨐673)<=60) ; (((↩⪖a)⩼⇪↪(57∝206))↺(↩(⊲⪭a))) , else }', output=-116","layer":1},{"info":"number node, value=1700","layer":4},{"info":"number node, value=4087","layer":4},{"info":"compute binary expreesion, left_input=1700, right_input=4087, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=8050","layer":3},{"info":"compute unary expreesion, input=8050, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-16100","layer":2},{"info":"number node, value=3132","layer":4},{"info":"number node, value=2109","layer":4},{"info":"compute binary expreesion, left_input=3132, right_input=2109, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=2149","layer":4},{"info":"number node, value=2060","layer":4},{"info":"compute binary expreesion, left_input=2149, right_input=2060, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-16100, right_input=nan, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=32506","layer":1},{"info":"compute binary expreesion, left_input=-116, right_input=32506, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":0}],"base":7,"result_base":7,"text":"(∤↝(≴∭⊉11054⪉⨛≴∭⊉4226)⪥(≴∭⊉5105≃≴∭⊉13440))∠⫱(↽≂≴∭⊉4646⨥⫆≴∭⊉14626)≠≀(≴∭⊉12063∙∹∝≴∭⊉6102∷≴∭⊉6160⪭≯≴∭⊉6002)=≴∭⊉3412","reverse_text":"≴∭⊉3412=(∤↝(≴∭⊉11054⪉⨛≴∭⊉4226)⪥(≴∭⊉5105≃≴∭⊉13440))∠⫱(↽≂≴∭⊉4646⨥⫆≴∭⊉14626)≠≀(≴∭⊉12063∙∹∝≴∭⊉6102∷≴∭⊉6160⪭≯≴∭⊉6002)","cot":[{"info":"≴∭⊉11054⪉⨛≴∭⊉4226=≴∭⊉26424","layer":3},{"info":"≴∭⊉5105≃≴∭⊉13440=≴∭⊉-26514","layer":3},{"info":"≴∭⊉26424⪥≴∭⊉-26514=≴∭⊉-224","layer":2},{"info":"∤↝≴∭⊉-224=≴∭⊉-224","layer":1},{"info":"≴∭⊉4646⨥⫆≴∭⊉14626=≴∭⊉32320","layer":3},{"info":"↽≂≴∭⊉32320=≴∭⊉-64640","layer":2},{"info":"≴∭⊉12063∙∹∝≴∭⊉6102=≴∭⊉0","layer":3},{"info":"≴∭⊉6160⪭≯≴∭⊉6002=NaN","layer":3},{"info":"≴∭⊉0∷NaN=NaN","layer":2},{"info":"≴∭⊉-64640≠≀NaN=≴∭⊉163525","layer":1},{"info":"≴∭⊉-224∠⫱≴∭⊉163525=≴∭⊉3412","layer":0}]}
+{"id":113,"expression_no_base_symbol":"(($1285$∝$4711$)⊋≦⊧(⊙↵-$2506$))⪒⊣⊆($1195$⊢$2307$)⊮⊟↴($2732$∇⊂⋱$3918$)⇩","expression":"((≴∭⊉3514∝≴∭⊉16510)⊋≦⊧(⊙↵-≴∭⊉10210))⪒⊣⊆(≴∭⊉3325⊢≴∭⊉6504)⊮⊟↴(≴∭⊉10652∇⊂⋱≴∭⊉14265)⇩","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2665,"operation_count":8,"complexity_ratio":333.125,"tree":{"type":"unary","operator":"⇩","unary_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":1285,"base":7},"right_expr":{"type":"numeric_atoms","value":4711,"base":7}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":2506,"base":7}}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":1195,"base":7},"right_expr":{"type":"numeric_atoms","value":2307,"base":7}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":2732,"base":7},"right_expr":{"type":"numeric_atoms","value":3918,"base":7}}}}},"used_operators":["vRio1gEz1j","eRqsBgTDFp","oRDoc9rAEX","cTDWOvIxvz","oWn0xqSxBt","QDVgd2eftb","5twsqlHp2o","nhYeJWJD5X"],"dependent_operators":["W4YGzv6Whe","sdazOOVcIp","W4YGzv6Whe","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","7j4O788W3g","W4YGzv6Whe","COABgblf1C","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx"],"result":"≴∭⊉1453","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1285","layer":4},{"info":"number node, value=4711","layer":4},{"info":"compute binary expreesion, left_input=1285, right_input=4711, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=1290","layer":3},{"info":"number node, value=2506","layer":4},{"info":"compute unary expreesion, input=2506, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=1290, right_input=-1, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=242","layer":2},{"info":"number node, value=1195","layer":4},{"info":"number node, value=2307","layer":4},{"info":"compute binary expreesion, left_input=1195, right_input=2307, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-2634","layer":3},{"info":"number node, value=2732","layer":4},{"info":"number node, value=3918","layer":4},{"info":"compute binary expreesion, left_input=2732, right_input=3918, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=4918","layer":3},{"info":"compute binary expreesion, left_input=-2634, right_input=4918, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=242, right_input=0, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=484","layer":1},{"info":"compute unary expreesion, input=484, op_id = vRio1gEz1j, unary_op_definition = 'a⇩ = { (a+93) }', output=577","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉3514∝≴∭⊉16510)⊋≦⊧(⊙↵-≴∭⊉10210))⪒⊣⊆(≴∭⊉3325⊢≴∭⊉6504)⊮⊟↴(≴∭⊉10652∇⊂⋱≴∭⊉14265)⇩=≴∭⊉1453","reverse_text":"≴∭⊉1453=((≴∭⊉3514∝≴∭⊉16510)⊋≦⊧(⊙↵-≴∭⊉10210))⪒⊣⊆(≴∭⊉3325⊢≴∭⊉6504)⊮⊟↴(≴∭⊉10652∇⊂⋱≴∭⊉14265)⇩","cot":[{"info":"≴∭⊉3514∝≴∭⊉16510=≴∭⊉3522","layer":3},{"info":"⊙↵-≴∭⊉10210=≴∭⊉-1","layer":3},{"info":"≴∭⊉3522⊋≦⊧≴∭⊉-1=≴∭⊉464","layer":2},{"info":"≴∭⊉3325⊢≴∭⊉6504=≴∭⊉-10452","layer":3},{"info":"≴∭⊉10652∇⊂⋱≴∭⊉14265=≴∭⊉20224","layer":3},{"info":"≴∭⊉-10452⊮⊟↴≴∭⊉20224=≴∭⊉0","layer":2},{"info":"≴∭⊉464⪒⊣⊆≴∭⊉0=≴∭⊉1261","layer":1},{"info":"≴∭⊉1261⇩=≴∭⊉1453","layer":0}]}
+{"id":114,"expression_no_base_symbol":"⨵(($4599$⪮%⊝$1264$⫳≱↱(⇨$1510$))≚⋢)","expression":"⨵((≴∭⊉16260⪮%⊝≴∭⊉3454⫳≱↱(⇨≴∭⊉4255))≚⋢)","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":215,"operation_count":5,"complexity_ratio":43.0,"tree":{"type":"unary","operator":"⨵","unary_expr":{"type":"unary","operator":"≚⋢","unary_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":4599,"base":7},"right_expr":{"type":"numeric_atoms","value":1264,"base":7}},"right_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"numeric_atoms","value":1510,"base":7}}}}},"used_operators":["Tl3Y52tvF8","MahUMFw56D","ZvLB05nZmT","IWmyXbctLI","G9tJMlZ94a"],"dependent_operators":["gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","3ViojmjbAp","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","k8jYdgA6NY"],"result":"≴∭⊉20360","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4599","layer":4},{"info":"number node, value=1264","layer":4},{"info":"compute binary expreesion, left_input=4599, right_input=1264, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=9514","layer":3},{"info":"number node, value=1510","layer":4},{"info":"compute unary expreesion, input=1510, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=9514, right_input=0, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-471","layer":2},{"info":"compute unary expreesion, input=-471, op_id = MahUMFw56D, unary_op_definition = 'a≚⋢ = { (a⨓86) }', output=-89","layer":1},{"info":"compute unary expreesion, input=-89, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=4991","layer":0}],"base":7,"result_base":7,"text":"⨵((≴∭⊉16260⪮%⊝≴∭⊉3454⫳≱↱(⇨≴∭⊉4255))≚⋢)=≴∭⊉20360","reverse_text":"≴∭⊉20360=⨵((≴∭⊉16260⪮%⊝≴∭⊉3454⫳≱↱(⇨≴∭⊉4255))≚⋢)","cot":[{"info":"≴∭⊉16260⪮%⊝≴∭⊉3454=≴∭⊉36511","layer":3},{"info":"⇨≴∭⊉4255=≴∭⊉0","layer":3},{"info":"≴∭⊉36511⫳≱↱≴∭⊉0=≴∭⊉-1242","layer":2},{"info":"≴∭⊉-1242≚⋢=≴∭⊉-155","layer":1},{"info":"⨵≴∭⊉-155=≴∭⊉20360","layer":0}]}
+{"id":115,"expression_no_base_symbol":"((($4753$⊟⇱)⇼⇔∾$4468$≎⊠⪸$2025$)⨥⫆($7388$⊍⩺⋍$4389$∪⫐$1883$⪎↠$5004$))⨌↪","expression":"(((≴∭⊉16600⊟⇱)⇼⇔∾≴∭⊉16012≎⊠⪸≴∭⊉5622)⨥⫆(≴∭⊉30353⊍⩺⋍≴∭⊉15540∪⫐≴∭⊉5330⪎↠≴∭⊉20406))⨌↪","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":524,"operation_count":8,"complexity_ratio":65.5,"tree":{"type":"unary","operator":"⨌↪","unary_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⊟⇱","unary_expr":{"type":"numeric_atoms","value":4753,"base":7}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":4468,"base":7},"right_expr":{"type":"numeric_atoms","value":2025,"base":7}}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":7388,"base":7},"right_expr":{"type":"numeric_atoms","value":4389,"base":7}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":1883,"base":7},"right_expr":{"type":"numeric_atoms","value":5004,"base":7}}}}},"used_operators":["cWQsF5MvuD","yXekIHxTD4","tifHPKVTfV","03sUfWo75k","bJkvcejdHO","7YooWSwCyH","OXDGMFPWZM","3tVxb0NHM4"],"dependent_operators":["8w2t5hMYqp","2DQ55sFlQl","i8ToyICDmI","QMFrweE19q","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","IWmyXbctLI","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rJVOvQCfKK","2DDjHMKMc0","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM"],"result":"≴∭⊉-1254","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4753","layer":4},{"info":"compute unary expreesion, input=4753, op_id = 03sUfWo75k, unary_op_definition = 'a⊟⇱ = { (a⪮%⊝a) }', output=9822","layer":3},{"info":"number node, value=4468","layer":4},{"info":"number node, value=2025","layer":4},{"info":"compute binary expreesion, left_input=4468, right_input=2025, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1156739","layer":3},{"info":"compute binary expreesion, left_input=9822, right_input=1156739, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1146917","layer":2},{"info":"number node, value=7388","layer":4},{"info":"number node, value=4389","layer":4},{"info":"compute binary expreesion, left_input=7388, right_input=4389, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"number node, value=1883","layer":4},{"info":"number node, value=5004","layer":4},{"info":"compute binary expreesion, left_input=1883, right_input=5004, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1146917, right_input=nan, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = cWQsF5MvuD, unary_op_definition = 'a⨌↪ = { (⊄⩳↩((a∲⫓a)⨵⪆(a⫡⨏a))) }', output=-480","layer":0}],"base":7,"result_base":7,"text":"(((≴∭⊉16600⊟⇱)⇼⇔∾≴∭⊉16012≎⊠⪸≴∭⊉5622)⨥⫆(≴∭⊉30353⊍⩺⋍≴∭⊉15540∪⫐≴∭⊉5330⪎↠≴∭⊉20406))⨌↪=≴∭⊉-1254","reverse_text":"≴∭⊉-1254=(((≴∭⊉16600⊟⇱)⇼⇔∾≴∭⊉16012≎⊠⪸≴∭⊉5622)⨥⫆(≴∭⊉30353⊍⩺⋍≴∭⊉15540∪⫐≴∭⊉5330⪎↠≴∭⊉20406))⨌↪","cot":[{"info":"≴∭⊉16600⊟⇱=≴∭⊉40431","layer":3},{"info":"≴∭⊉16012≎⊠⪸≴∭⊉5622=≴∭⊉12555263","layer":3},{"info":"≴∭⊉40431⇼⇔∾≴∭⊉12555263=≴∭⊉12514532","layer":2},{"info":"≴∭⊉30353⊍⩺⋍≴∭⊉15540=NaN","layer":3},{"info":"≴∭⊉5330⪎↠≴∭⊉20406=≴∭⊉316","layer":3},{"info":"NaN∪⫐≴∭⊉316=NaN","layer":2},{"info":"≴∭⊉12514532⨥⫆NaN=NaN","layer":1},{"info":"NaN⨌↪=≴∭⊉-1254","layer":0}]}
+{"id":116,"expression_no_base_symbol":"(((⪸$2510$)⩨$7032$⪭≯$1517$)⨹)⊔((⊁⨺($1287$≥⨤⩑$6929$))⪷)","expression":"(((⪸≴∭⊉10214)⩨≴∭⊉26334⪭≯≴∭⊉4265)⨹)⊔((⊁⨺(≴∭⊉3516≥⨤⩑≴∭⊉26126))⪷)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3632,"operation_count":8,"complexity_ratio":454.0,"tree":{"type":"binary","operator":"⊔","left_expr":{"type":"unary","operator":"⨹","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"numeric_atoms","value":2510,"base":7}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":7032,"base":7},"right_expr":{"type":"numeric_atoms","value":1517,"base":7}}}},"right_expr":{"type":"unary","operator":"⪷","unary_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":1287,"base":7},"right_expr":{"type":"numeric_atoms","value":6929,"base":7}}}}},"used_operators":["E4l6HwMY31","UnCoSGIALn","2DlMacCsIx","86A5ENbKR9","XAx5wpdLa6","Qctrpi3WzA","PxiHyQbrIp","gJLn6v0xnP"],"dependent_operators":["W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","mp7IySMOzn","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","Nsiff2A1zJ","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2510","layer":4},{"info":"compute unary expreesion, input=2510, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-42461","layer":3},{"info":"number node, value=7032","layer":4},{"info":"number node, value=1517","layer":4},{"info":"compute binary expreesion, left_input=7032, right_input=1517, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-42461, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = UnCoSGIALn, unary_op_definition = 'a⨹ = { (229⇷a) }', output=nan","layer":1},{"info":"number node, value=1287","layer":4},{"info":"number node, value=6929","layer":4},{"info":"compute binary expreesion, left_input=1287, right_input=6929, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = Qctrpi3WzA, unary_op_definition = 'a⪷ = { (a⊴a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(((⪸≴∭⊉10214)⩨≴∭⊉26334⪭≯≴∭⊉4265)⨹)⊔((⊁⨺(≴∭⊉3516≥⨤⩑≴∭⊉26126))⪷)=NaN","reverse_text":"NaN=(((⪸≴∭⊉10214)⩨≴∭⊉26334⪭≯≴∭⊉4265)⨹)⊔((⊁⨺(≴∭⊉3516≥⨤⩑≴∭⊉26126))⪷)","cot":[{"info":"⪸≴∭⊉10214=≴∭⊉-234536","layer":3},{"info":"≴∭⊉26334⪭≯≴∭⊉4265=NaN","layer":3},{"info":"≴∭⊉-234536⩨NaN=NaN","layer":2},{"info":"NaN⨹=NaN","layer":1},{"info":"≴∭⊉3516≥⨤⩑≴∭⊉26126=≴∭⊉3412","layer":3},{"info":"⊁⨺≴∭⊉3412=≴∭⊉316","layer":2},{"info":"≴∭⊉316⪷=NaN","layer":1},{"info":"NaN⊔NaN=NaN","layer":0}]}
+{"id":117,"expression_no_base_symbol":"(($2568$≹⇙⪍$1958$∁)∀⊥⇻)⫚↹⊑((↥≼⋛$2688$)⫥∨⫟($4400$⩉⊫⨁))⪃⊛⇣(($2547$≓∲$2544$)⫸⊐($1071$↪⪝))","expression":"((≴∭⊉10326≹⇙⪍≴∭⊉5465∁)∀⊥⇻)⫚↹⊑((↥≼⋛≴∭⊉10560)⫥∨⫟(≴∭⊉15554⩉⊫⨁))⪃⊛⇣((≴∭⊉10266≓∲≴∭⊉10263)⫸⊐(≴∭⊉3060↪⪝))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1555,"operation_count":11,"complexity_ratio":141.36363636363637,"tree":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"unary","operator":"∀⊥⇻","unary_expr":{"type":"unary","operator":"∁","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2568,"base":7},"right_expr":{"type":"numeric_atoms","value":1958,"base":7}}}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"numeric_atoms","value":2688,"base":7}},"right_expr":{"type":"unary","operator":"⩉⊫⨁","unary_expr":{"type":"numeric_atoms","value":4400,"base":7}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":2547,"base":7},"right_expr":{"type":"numeric_atoms","value":2544,"base":7}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":1071,"base":7}}}}},"used_operators":["dfKe02y8D2","k4iM1060OG","jdwGQqwJi5","AHs5Up7iyr","rrgAzCduG9","KYD54nUTWz","x5lMkHmzsq","7qqUquhhSb","mqXw5SEYmG","s1XTVnmDOJ","l07mrZUIn9"],"dependent_operators":["2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","QvoQhV0rrE","XhwjNDsVaA","3Oe9XWJUTD","2DDjHMKMc0","dWAJyo7jo9","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","8HhzD0ZcuI","rGHVDoGpnC","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","7j4O788W3g","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","9HNa5Wba9A","2DDjHMKMc0"],"result":"≴∭⊉-1206","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2568","layer":4},{"info":"number node, value=1958","layer":4},{"info":"compute binary expreesion, left_input=2568, right_input=1958, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = jdwGQqwJi5, unary_op_definition = 'a∁ = { (a⋝⋈⪟a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = k4iM1060OG, unary_op_definition = 'a∀⊥⇻ = { ((a∠⫱a)/(a⊝⪿⪼a)) }', output=nan","layer":1},{"info":"number node, value=2688","layer":4},{"info":"compute unary expreesion, input=2688, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-113","layer":3},{"info":"number node, value=4400","layer":4},{"info":"compute unary expreesion, input=4400, op_id = 7qqUquhhSb, unary_op_definition = 'a⩉⊫⨁ = { (331↺a) }', output=4400","layer":3},{"info":"compute binary expreesion, left_input=-113, right_input=4400, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=2547","layer":4},{"info":"number node, value=2544","layer":4},{"info":"compute binary expreesion, left_input=2547, right_input=2544, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=26253","layer":3},{"info":"number node, value=1071","layer":4},{"info":"compute unary expreesion, input=1071, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=65525922","layer":3},{"info":"compute binary expreesion, left_input=26253, right_input=65525922, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=262103563","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=262103563, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1234, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉10326≹⇙⪍≴∭⊉5465∁)∀⊥⇻)⫚↹⊑((↥≼⋛≴∭⊉10560)⫥∨⫟(≴∭⊉15554⩉⊫⨁))⪃⊛⇣((≴∭⊉10266≓∲≴∭⊉10263)⫸⊐(≴∭⊉3060↪⪝))=≴∭⊉-1206","reverse_text":"≴∭⊉-1206=((≴∭⊉10326≹⇙⪍≴∭⊉5465∁)∀⊥⇻)⫚↹⊑((↥≼⋛≴∭⊉10560)⫥∨⫟(≴∭⊉15554⩉⊫⨁))⪃⊛⇣((≴∭⊉10266≓∲≴∭⊉10263)⫸⊐(≴∭⊉3060↪⪝))","cot":[{"info":"≴∭⊉10326≹⇙⪍≴∭⊉5465=NaN","layer":3},{"info":"NaN∁=NaN","layer":2},{"info":"NaN∀⊥⇻=NaN","layer":1},{"info":"↥≼⋛≴∭⊉10560=≴∭⊉-221","layer":3},{"info":"≴∭⊉15554⩉⊫⨁=≴∭⊉15554","layer":3},{"info":"≴∭⊉-221⫥∨⫟≴∭⊉15554=NaN","layer":2},{"info":"≴∭⊉10266≓∲≴∭⊉10263=≴∭⊉136353","layer":3},{"info":"≴∭⊉3060↪⪝=≴∭⊉1423650450","layer":3},{"info":"≴∭⊉136353⫸⊐≴∭⊉1423650450=≴∭⊉6331562221","layer":2},{"info":"NaN⪃⊛⇣≴∭⊉6331562221=≴∭⊉3412","layer":1},{"info":"NaN⫚↹⊑≴∭⊉3412=≴∭⊉-1206","layer":0}]}
+{"id":118,"expression_no_base_symbol":"($5729$⊴$8290$)↞⋁($7013$⊉↱≁$2154$)∀⇚≩((↔$2380$)∖($2310$⪥⨬⪅))⪁(∤$6896$⊴$1371$⪨⊡(↔$2200$))","expression":"(≴∭⊉22463⊴≴∭⊉33112)↞⋁(≴∭⊉26306⊉↱≁≴∭⊉6165)∀⇚≩((↔≴∭⊉6640)∖(≴∭⊉6510⪥⨬⪅))⪁(∤≴∭⊉26051⊴≴∭⊉3666⪨⊡(↔≴∭⊉6262))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":11259,"operation_count":12,"complexity_ratio":938.25,"tree":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":5729,"base":7},"right_expr":{"type":"numeric_atoms","value":8290,"base":7}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":7013,"base":7},"right_expr":{"type":"numeric_atoms","value":2154,"base":7}}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":2380,"base":7}},"right_expr":{"type":"unary","operator":"⪥⨬⪅","unary_expr":{"type":"numeric_atoms","value":2310,"base":7}}}},"right_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":6896,"base":7},"right_expr":{"type":"numeric_atoms","value":1371,"base":7}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":2200,"base":7}}}}},"used_operators":["I7sXao9hZE","LRNGc0VcxI","RqrPlJkxDo","Nsiff2A1zJ","w2P8NbNXyL","tXD093vOjl","ruOEQAzv1W","zNRQejTB5A","k2HlF1dBQh","kuIXHzHcAH"],"dependent_operators":["dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","X99M06cbEe","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","dWAJyo7jo9","14qkJME0vr","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","d7ASUq0ydm","Uaa54Peajs","3EYGwJThht","y4ImoPnbV5","JwTKLfZU96","rJVOvQCfKK","uWAJUKEvyW","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5729","layer":4},{"info":"number node, value=8290","layer":4},{"info":"compute binary expreesion, left_input=5729, right_input=8290, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=7013","layer":4},{"info":"number node, value=2154","layer":4},{"info":"compute binary expreesion, left_input=7013, right_input=2154, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=57154","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=57154, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":2},{"info":"number node, value=2380","layer":4},{"info":"compute unary expreesion, input=2380, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-2107","layer":3},{"info":"number node, value=2310","layer":4},{"info":"compute unary expreesion, input=2310, op_id = zNRQejTB5A, unary_op_definition = 'a⪥⨬⪅ = { (((a⨎1)⊹∫⫚(a⇄a))⫯⪬∳((a∽a)↳≱(∂a))) }', output=-473","layer":3},{"info":"compute binary expreesion, left_input=-2107, right_input=-473, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"number node, value=6896","layer":4},{"info":"number node, value=1371","layer":4},{"info":"compute binary expreesion, left_input=6896, right_input=1371, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=2200","layer":4},{"info":"compute unary expreesion, input=2200, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1927","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1927, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=8497","layer":2},{"info":"compute unary expreesion, input=8497, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=9, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉22463⊴≴∭⊉33112)↞⋁(≴∭⊉26306⊉↱≁≴∭⊉6165)∀⇚≩((↔≴∭⊉6640)∖(≴∭⊉6510⪥⨬⪅))⪁(∤≴∭⊉26051⊴≴∭⊉3666⪨⊡(↔≴∭⊉6262))=NaN","reverse_text":"NaN=(≴∭⊉22463⊴≴∭⊉33112)↞⋁(≴∭⊉26306⊉↱≁≴∭⊉6165)∀⇚≩((↔≴∭⊉6640)∖(≴∭⊉6510⪥⨬⪅))⪁(∤≴∭⊉26051⊴≴∭⊉3666⪨⊡(↔≴∭⊉6262))","cot":[{"info":"≴∭⊉22463⊴≴∭⊉33112=NaN","layer":3},{"info":"≴∭⊉26306⊉↱≁≴∭⊉6165=≴∭⊉325426","layer":3},{"info":"NaN↞⋁≴∭⊉325426=NaN","layer":2},{"info":"↔≴∭⊉6640=≴∭⊉-6100","layer":3},{"info":"≴∭⊉6510⪥⨬⪅=≴∭⊉-1244","layer":3},{"info":"≴∭⊉-6100∖≴∭⊉-1244=≴∭⊉0","layer":2},{"info":"NaN∀⇚≩≴∭⊉0=NaN","layer":1},{"info":"≴∭⊉26051⊴≴∭⊉3666=NaN","layer":3},{"info":"↔≴∭⊉6262=≴∭⊉-5422","layer":3},{"info":"NaN⪨⊡≴∭⊉-5422=≴∭⊉33526","layer":2},{"info":"∤≴∭⊉33526=≴∭⊉12","layer":1},{"info":"NaN⪁≴∭⊉12=NaN","layer":0}]}
+{"id":119,"expression_no_base_symbol":"(($1925$⊹∫⫚$8656$)⩷∴($3399$⩚⊴⇥$1509$)⫳≱↱($1825$⫳≱↱$4852$)⪃⊛⇣($4394$⪨⊡$3271$))⨒(⊑($4397$↤⩊$3582$⊨($8280$⪨⊡$2608$)))","expression":"((≴∭⊉5420⊹∫⫚≴∭⊉34144)⩷∴(≴∭⊉12624⩚⊴⇥≴∭⊉4254)⫳≱↱(≴∭⊉5215⫳≱↱≴∭⊉20101)⪃⊛⇣(≴∭⊉15545⪨⊡≴∭⊉12352))⨒(⊑(≴∭⊉15551↤⩊≴∭⊉13305⊨(≴∭⊉33066⪨⊡≴∭⊉10414)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":43542,"operation_count":12,"complexity_ratio":3628.5,"tree":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":1925,"base":7},"right_expr":{"type":"numeric_atoms","value":8656,"base":7}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":3399,"base":7},"right_expr":{"type":"numeric_atoms","value":1509,"base":7}}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":1825,"base":7},"right_expr":{"type":"numeric_atoms","value":4852,"base":7}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":4394,"base":7},"right_expr":{"type":"numeric_atoms","value":3271,"base":7}}}},"right_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":4397,"base":7},"right_expr":{"type":"numeric_atoms","value":3582,"base":7}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":8280,"base":7},"right_expr":{"type":"numeric_atoms","value":2608,"base":7}}}}},"used_operators":["y75s1iXyHd","ZvLB05nZmT","9FxExcQeMw","uWAJUKEvyW","NTOWxs364D","rrgAzCduG9","kuIXHzHcAH","IkUmn0D7oy","vg4gO5BX6G","13rbtpv6ld"],"dependent_operators":["srAu1WTS94","oacrs7FA3X","7qqUquhhSb","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","rysDP5nf3Z","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY"],"result":"≴∭⊉1","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1925","layer":4},{"info":"number node, value=8656","layer":4},{"info":"compute binary expreesion, left_input=1925, right_input=8656, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-224","layer":3},{"info":"number node, value=3399","layer":4},{"info":"number node, value=1509","layer":4},{"info":"compute binary expreesion, left_input=3399, right_input=1509, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5029","layer":3},{"info":"compute binary expreesion, left_input=-224, right_input=-5029, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=9578","layer":2},{"info":"number node, value=1825","layer":4},{"info":"number node, value=4852","layer":4},{"info":"compute binary expreesion, left_input=1825, right_input=4852, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)��⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"number node, value=4394","layer":4},{"info":"number node, value=3271","layer":4},{"info":"compute binary expreesion, left_input=4394, right_input=3271, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-204, right_input=0, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=9578, right_input=1234, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":1},{"info":"number node, value=4397","layer":4},{"info":"number node, value=3582","layer":4},{"info":"compute binary expreesion, left_input=4397, right_input=3582, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"number node, value=8280","layer":4},{"info":"number node, value=2608","layer":4},{"info":"compute binary expreesion, left_input=8280, right_input=2608, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":1},{"info":"compute binary expreesion, left_input=-204, right_input=192, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=1","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉5420⊹∫⫚≴∭⊉34144)⩷∴(≴∭⊉12624⩚⊴⇥≴∭⊉4254)⫳≱↱(≴∭⊉5215⫳≱↱≴∭⊉20101)⪃⊛⇣(≴∭⊉15545⪨⊡≴∭⊉12352))⨒(⊑(≴∭⊉15551↤⩊≴∭⊉13305⊨(≴∭⊉33066⪨⊡≴∭⊉10414)))=≴∭⊉1","reverse_text":"≴∭⊉1=((≴∭⊉5420⊹∫⫚≴∭⊉34144)⩷∴(≴∭⊉12624⩚⊴⇥≴∭⊉4254)⫳≱↱(≴∭⊉5215⫳≱↱≴∭⊉20101)⪃⊛⇣(≴∭⊉15545⪨⊡≴∭⊉12352))⨒(⊑(≴∭⊉15551↤⩊≴∭⊉13305⊨(≴∭⊉33066⪨⊡≴∭⊉10414)))","cot":[{"info":"≴∭⊉5420⊹∫⫚≴∭⊉34144=≴∭⊉-440","layer":3},{"info":"≴∭⊉12624⩚⊴⇥≴∭⊉4254=≴∭⊉-20443","layer":3},{"info":"≴∭⊉-440⩷∴≴∭⊉-20443=≴∭⊉36632","layer":2},{"info":"≴∭⊉5215⫳≱↱≴∭⊉20101=≴∭⊉-411","layer":3},{"info":"≴∭⊉15545⪨⊡≴∭⊉12352=≴∭⊉0","layer":3},{"info":"≴∭⊉-411⪃⊛⇣≴∭⊉0=≴∭⊉3412","layer":2},{"info":"≴∭⊉36632⫳≱↱≴∭⊉3412=≴∭⊉-411","layer":1},{"info":"≴∭⊉15551↤⩊≴∭⊉13305=NaN","layer":3},{"info":"≴∭⊉33066⪨⊡≴∭⊉10414=≴∭⊉0","layer":3},{"info":"NaN⊨≴∭⊉0=NaN","layer":2},{"info":"⊑NaN=≴∭⊉363","layer":1},{"info":"≴∭⊉-411⨒≴∭⊉363=≴∭⊉1","layer":0}]}
+{"id":120,"expression_no_base_symbol":"(($1636$⊔$5128$)⪬($3200$⨸⪁$7240$)⨚⇆($2287$⪇≇⋚$3869$)⨸$1510$⪟⇏$4763$)∺≝⩲((⫯($5022$⫁⪎$1148$))⪪(∓⪦($2469$⊋≦⊧$4732$)))","expression":"((≴∭⊉4525⊔≴∭⊉20644)⪬(≴∭⊉12221⨸⪁≴∭⊉30052)⨚⇆(≴∭⊉6445⪇≇⋚≴∭⊉14165)⨸≴∭⊉4255⪟⇏≴∭⊉16613)∺≝⩲((⫯(≴∭⊉20433⫁⪎≴∭⊉3230))⪪(∓⪦(≴∭⊉10125⊋≦⊧≴∭⊉16540)))","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":9880,"operation_count":13,"complexity_ratio":760.0,"tree":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":1636,"base":7},"right_expr":{"type":"numeric_atoms","value":5128,"base":7}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3200,"base":7},"right_expr":{"type":"numeric_atoms","value":7240,"base":7}}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":2287,"base":7},"right_expr":{"type":"numeric_atoms","value":3869,"base":7}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":1510,"base":7},"right_expr":{"type":"numeric_atoms","value":4763,"base":7}}}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"unary","operator":"⫯","unary_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":5022,"base":7},"right_expr":{"type":"numeric_atoms","value":1148,"base":7}}},"right_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":2469,"base":7},"right_expr":{"type":"numeric_atoms","value":4732,"base":7}}}}},"used_operators":["KPf6cnQVty","lwHaAYXP2r","Ez1Nq5fNfI","E4l6HwMY31","g55IO6H4Gj","KmoU8R5UQR","3sJ7IOPOlU","GODebY97qR","xD69zh8xqp","H6BK1Evt7c","xRrnTEsQ6j","D309nIvmXG","oRDoc9rAEX"],"dependent_operators":["BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","W4YGzv6Whe","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","FU0Cs4j7VP","JclMnS0uGI","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC"],"result":"≴∭⊉316","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1636","layer":4},{"info":"number node, value=5128","layer":4},{"info":"compute binary expreesion, left_input=1636, right_input=5128, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=26512","layer":3},{"info":"number node, value=3200","layer":4},{"info":"number node, value=7240","layer":4},{"info":"compute binary expreesion, left_input=3200, right_input=7240, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=20880","layer":3},{"info":"compute binary expreesion, left_input=26512, right_input=20880, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"number node, value=2287","layer":4},{"info":"number node, value=3869","layer":4},{"info":"compute binary expreesion, left_input=2287, right_input=3869, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"number node, value=1510","layer":4},{"info":"number node, value=4763","layer":4},{"info":"compute binary expreesion, left_input=1510, right_input=4763, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-1, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=547406","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=547406, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":1},{"info":"number node, value=5022","layer":4},{"info":"number node, value=1148","layer":4},{"info":"compute binary expreesion, left_input=5022, right_input=1148, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=3874","layer":3},{"info":"compute unary expreesion, input=3874, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=-147920","layer":2},{"info":"number node, value=2469","layer":4},{"info":"number node, value=4732","layer":4},{"info":"compute binary expreesion, left_input=2469, right_input=4732, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=-6961","layer":3},{"info":"compute unary expreesion, input=-6961, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=-15568","layer":2},{"info":"compute binary expreesion, left_input=-147920, right_input=-15568, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-6206","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-6206, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉4525⊔≴∭⊉20644)⪬(≴∭⊉12221⨸⪁≴∭⊉30052)⨚⇆(≴∭⊉6445⪇≇⋚≴∭⊉14165)⨸≴∭⊉4255⪟⇏≴∭⊉16613)∺≝⩲((⫯(≴∭⊉20433⫁⪎≴∭⊉3230))⪪(∓⪦(≴∭⊉10125⊋≦⊧≴∭⊉16540)))=≴∭⊉316","reverse_text":"≴∭⊉316=((≴∭⊉4525⊔≴∭⊉20644)⪬(≴∭⊉12221⨸⪁≴∭⊉30052)⨚⇆(≴∭⊉6445⪇≇⋚≴∭⊉14165)⨸≴∭⊉4255⪟⇏≴∭⊉16613)∺≝⩲((⫯(≴∭⊉20433⫁⪎≴∭⊉3230))⪪(∓⪦(≴∭⊉10125⊋≦⊧≴∭⊉16540)))","cot":[{"info":"≴∭⊉4525⊔≴∭⊉20644=≴∭⊉140203","layer":3},{"info":"≴∭⊉12221⨸⪁≴∭⊉30052=≴∭⊉114606","layer":3},{"info":"≴∭⊉140203⪬≴∭⊉114606=≴∭⊉3412","layer":2},{"info":"≴∭⊉6445⪇≇⋚≴∭⊉14165=≴∭⊉0","layer":3},{"info":"≴∭⊉4255⪟⇏≴∭⊉16613=≴∭⊉-1","layer":3},{"info":"≴∭⊉0⨸≴∭⊉-1=≴∭⊉4436636","layer":2},{"info":"≴∭⊉3412⨚⇆≴∭⊉4436636=NaN","layer":1},{"info":"≴∭⊉20433⫁⪎≴∭⊉3230=≴∭⊉14203","layer":3},{"info":"⫯≴∭⊉14203=≴∭⊉-1154153","layer":2},{"info":"≴∭⊉10125⊋≦⊧≴∭⊉16540=≴∭⊉-26203","layer":3},{"info":"∓⪦≴∭⊉-26203=≴∭⊉-63250","layer":2},{"info":"≴∭⊉-1154153⪪≴∭⊉-63250=≴∭⊉-24044","layer":1},{"info":"NaN∺≝⩲≴∭⊉-24044=≴∭⊉316","layer":0}]}
+{"id":121,"expression_no_base_symbol":"(($1105$∽$9538$)⪛($3944$⋾⨃∁$4235$)⊿∆)∖(⩦⊞($3432$⨪↰⇹$1204$≬⋮$3692$+⪬∐$3830$))","expression":"((≴∭⊉3136∽≴∭⊉36544)⪛(≴∭⊉14333⋾⨃∁≴∭⊉15230)⊿∆)∖(⩦⊞(≴∭⊉13002⨪↰⇹≴∭⊉3340≬⋮≴∭⊉13523+⪬∐≴∭⊉14111))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":7919,"operation_count":9,"complexity_ratio":879.8888888888889,"tree":{"type":"binary","operator":"∖","left_expr":{"type":"unary","operator":"⊿∆","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":1105,"base":7},"right_expr":{"type":"numeric_atoms","value":9538,"base":7}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":3944,"base":7},"right_expr":{"type":"numeric_atoms","value":4235,"base":7}}}},"right_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3432,"base":7},"right_expr":{"type":"numeric_atoms","value":1204,"base":7}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":3692,"base":7},"right_expr":{"type":"numeric_atoms","value":3830,"base":7}}}}},"used_operators":["tXD093vOjl","fv3ZujxkQL","uFcxV4UQCh","y4ImoPnbV5","212REbPD9h","u7fv1HBiaC","kbkesczE7y","tmPS8pqC7x","2GS7woTJqF"],"dependent_operators":["rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","NTOWxs364D","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","NTOWxs364D","QMFrweE19q","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","rJVOvQCfKK","g55IO6H4Gj","D4vGDi5EA2"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1105","layer":4},{"info":"number node, value=9538","layer":4},{"info":"compute binary expreesion, left_input=1105, right_input=9538, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-33961","layer":3},{"info":"number node, value=3944","layer":4},{"info":"number node, value=4235","layer":4},{"info":"compute binary expreesion, left_input=3944, right_input=4235, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=179301336","layer":3},{"info":"compute binary expreesion, left_input=-33961, right_input=179301336, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=179267375","layer":2},{"info":"compute unary expreesion, input=179267375, op_id = fv3ZujxkQL, unary_op_definition = 'a⊿∆ = { (a⩚⊴⇥a) }', output=-358534871","layer":1},{"info":"number node, value=3432","layer":4},{"info":"number node, value=1204","layer":4},{"info":"compute binary expreesion, left_input=3432, right_input=1204, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=3432","layer":3},{"info":"number node, value=3692","layer":4},{"info":"number node, value=3830","layer":4},{"info":"compute binary expreesion, left_input=3692, right_input=3830, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-11076","layer":3},{"info":"compute binary expreesion, left_input=3432, right_input=-11076, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":2},{"info":"compute unary expreesion, input=868, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-595","layer":1},{"info":"compute binary expreesion, left_input=-358534871, right_input=-595, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉3136∽≴∭⊉36544)⪛(≴∭⊉14333⋾⨃∁≴∭⊉15230)⊿∆)∖(⩦⊞(≴∭⊉13002⨪↰⇹≴∭⊉3340≬⋮≴∭⊉13523+⪬∐≴∭⊉14111))=≴∭⊉0","reverse_text":"≴∭⊉0=((≴∭⊉3136∽≴∭⊉36544)⪛(≴∭⊉14333⋾⨃∁≴∭⊉15230)⊿∆)∖(⩦⊞(≴∭⊉13002⨪↰⇹≴∭⊉3340≬⋮≴∭⊉13523+⪬∐≴∭⊉14111))","cot":[{"info":"≴∭⊉3136∽≴∭⊉36544=≴∭⊉-201004","layer":3},{"info":"≴∭⊉14333⋾⨃∁≴∭⊉15230=≴∭⊉4305015264","layer":3},{"info":"≴∭⊉-201004⪛≴∭⊉4305015264=≴∭⊉4304514260","layer":2},{"info":"≴∭⊉4304514260⊿∆=≴∭⊉-11612332112","layer":1},{"info":"≴∭⊉13002⨪↰⇹≴∭⊉3340=≴∭⊉13002","layer":3},{"info":"≴∭⊉13523+⪬∐≴∭⊉14111=≴∭⊉-44202","layer":3},{"info":"≴∭⊉13002≬⋮≴∭⊉-44202=≴∭⊉2350","layer":2},{"info":"⩦⊞≴∭⊉2350=≴∭⊉-1510","layer":1},{"info":"≴∭⊉-11612332112∖≴∭⊉-1510=≴∭⊉0","layer":0}]}
+{"id":122,"expression_no_base_symbol":"⇋⊎⋝(($1067$≌$2002$⨸⪁$1574$↙$1051$)⩁⩘(≯(∓⪦$5661$)))","expression":"⇋⊎⋝((≴∭⊉3053≌≴∭⊉5560⨸⪁≴∭⊉4406↙≴∭⊉3031)⩁⩘(≯(∓⪦≴∭⊉22335)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3248,"operation_count":7,"complexity_ratio":464.0,"tree":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":1067,"base":7},"right_expr":{"type":"numeric_atoms","value":2002,"base":7}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1574,"base":7},"right_expr":{"type":"numeric_atoms","value":1051,"base":7}}},"right_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"numeric_atoms","value":5661,"base":7}}}}},"used_operators":["CzM2PEoXns","gub5Cegaqo","g55IO6H4Gj","lyWz822IDG","yyfyN0ffXY","keWfFq85dY","D309nIvmXG"],"dependent_operators":["dWAJyo7jo9","DpFCA1CohY","IWmyXbctLI","W4YGzv6Whe","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","tmPS8pqC7x","DpFCA1CohY","g55IO6H4Gj","JLbD19bQDL","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1067","layer":4},{"info":"number node, value=2002","layer":4},{"info":"compute binary expreesion, left_input=1067, right_input=2002, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"number node, value=1574","layer":4},{"info":"number node, value=1051","layer":4},{"info":"compute binary expreesion, left_input=1574, right_input=1051, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3153","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3153, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":2},{"info":"number node, value=5661","layer":4},{"info":"compute unary expreesion, input=5661, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=5253","layer":3},{"info":"compute unary expreesion, input=5253, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"⇋⊎⋝((≴∭⊉3053≌≴∭⊉5560⨸⪁≴∭⊉4406↙≴∭⊉3031)⩁⩘(≯(∓⪦≴∭⊉22335)))=NaN","reverse_text":"NaN=⇋⊎⋝((≴∭⊉3053≌≴∭⊉5560⨸⪁≴∭⊉4406↙≴∭⊉3031)⩁⩘(≯(∓⪦≴∭⊉22335)))","cot":[{"info":"≴∭⊉3053≌≴∭⊉5560=NaN","layer":3},{"info":"≴∭⊉4406↙≴∭⊉3031=≴∭⊉-12123","layer":3},{"info":"NaN⨸⪁≴∭⊉-12123=NaN","layer":2},{"info":"∓⪦≴∭⊉22335=≴∭⊉21213","layer":3},{"info":"≯≴∭⊉21213=≴∭⊉0","layer":2},{"info":"NaN⩁⩘≴∭⊉0=NaN","layer":1},{"info":"⇋⊎⋝NaN=NaN","layer":0}]}
+{"id":123,"expression_no_base_symbol":"(($1257$∀⊥⇻)⊨$3633$⩍⋽⫝̸$5377$)≁↽≥(($1954$⋆⋳)≑≱⪘)⇀∌","expression":"((≴∭⊉3444∀⊥⇻)⊨≴∭⊉13410⩍⋽⫝̸≴∭⊉21451)≁↽≥((≴∭⊉5461⋆⋳)≑≱⪘)⇀∌","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":387,"operation_count":7,"complexity_ratio":55.285714285714285,"tree":{"type":"unary","operator":"⇀∌","unary_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"unary","operator":"∀⊥⇻","unary_expr":{"type":"numeric_atoms","value":1257,"base":7}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":3633,"base":7},"right_expr":{"type":"numeric_atoms","value":5377,"base":7}}},"right_expr":{"type":"unary","operator":"≑≱⪘","unary_expr":{"type":"unary","operator":"⋆⋳","unary_expr":{"type":"numeric_atoms","value":1954,"base":7}}}}},"used_operators":["2k53nXOpI5","ncHt1X6cMc","vg4gO5BX6G","k4iM1060OG","BiWNJpBvwn","tGSeddj7UK","6MpZysEj17"],"dependent_operators":["Q3PJZHRvZv","ddLRYrp01A","AcOhelriW5","7t3wd0Fuz7","3tVxb0NHM4","oWn0xqSxBt","3Oe9XWJUTD","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","QvoQhV0rrE","XhwjNDsVaA","3Oe9XWJUTD","Ph9nP6C5qx","xUOZtlo3hN","9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn","9FxExcQeMw","7j4O788W3g","DIvbN7qnHd"],"result":"≴∭⊉221","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1257","layer":4},{"info":"compute unary expreesion, input=1257, op_id = k4iM1060OG, unary_op_definition = 'a∀⊥⇻ = { ((a∠⫱a)/(a⊝⪿⪼a)) }', output=0","layer":3},{"info":"number node, value=3633","layer":4},{"info":"number node, value=5377","layer":4},{"info":"compute binary expreesion, left_input=3633, right_input=5377, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=4431","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=4431, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=-174","layer":2},{"info":"number node, value=1954","layer":4},{"info":"compute unary expreesion, input=1954, op_id = 6MpZysEj17, unary_op_definition = 'a⋆⋳ = { ((a⊠≄⫣)⩷∴(a↺a)) }', output=-3940","layer":3},{"info":"compute unary expreesion, input=-3940, op_id = tGSeddj7UK, unary_op_definition = 'a≑≱⪘ = { ((⊄⩳↩(6≧⫂∧a))⩍⋽⫝̸((a⊲⩕⊾a)≦↸(a⋆⋳))) , if (a↹⊜255)>=30 or (a↯⫤)>122 ; ((a⩷∴(a⪒⊣⊆a))⨽(a⊬⫿⊭)) , else }', output=114492","layer":2},{"info":"compute binary expreesion, left_input=-174, right_input=114492, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=7322","layer":1},{"info":"compute unary expreesion, input=7322, op_id = 2k53nXOpI5, unary_op_definition = 'a⇀∌ = { ((a⪎↠(⨣⨃⇪a))⋥⋵⩄(a∊∟⩊(⊥a))) }', output=113","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉3444∀⊥⇻)⊨≴∭⊉13410⩍⋽⫝̸≴∭⊉21451)≁↽≥((≴∭⊉5461⋆⋳)≑≱⪘)⇀∌=≴∭⊉221","reverse_text":"≴∭⊉221=((≴∭⊉3444∀⊥⇻)⊨≴∭⊉13410⩍⋽⫝̸≴∭⊉21451)≁↽≥((≴∭⊉5461⋆⋳)≑≱⪘)⇀∌","cot":[{"info":"≴∭⊉3444∀⊥⇻=≴∭⊉0","layer":3},{"info":"≴∭⊉13410⩍⋽⫝̸≴∭⊉21451=≴∭⊉15630","layer":3},{"info":"≴∭⊉0⊨≴∭⊉15630=≴∭⊉-336","layer":2},{"info":"≴∭⊉5461⋆⋳=≴∭⊉-14326","layer":3},{"info":"≴∭⊉-14326≑≱⪘=≴∭⊉654540","layer":2},{"info":"≴∭⊉-336≁↽≥≴∭⊉654540=≴∭⊉30230","layer":1},{"info":"≴∭⊉30230⇀∌=≴∭⊉221","layer":0}]}
+{"id":124,"expression_no_base_symbol":"⇙⪊($2607$⪥$4238$⨭⪣($2683$≥⨤⩑$5280$)-($7115$⨚⇆$2344$)⇡⇂($5084$⪛$3123$))","expression":"⇙⪊(≴∭⊉10413⪥≴∭⊉15233⨭⪣(≴∭⊉10552≥⨤⩑≴∭⊉21252)-(≴∭⊉26513⨚⇆≴∭⊉6556)⇡⇂(≴∭⊉20552⪛≴∭⊉12051))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":59733,"operation_count":8,"complexity_ratio":7466.625,"tree":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":2607,"base":7},"right_expr":{"type":"numeric_atoms","value":4238,"base":7}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":2683,"base":7},"right_expr":{"type":"numeric_atoms","value":5280,"base":7}}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":7115,"base":7},"right_expr":{"type":"numeric_atoms","value":2344,"base":7}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":5084,"base":7},"right_expr":{"type":"numeric_atoms","value":3123,"base":7}}}}},"used_operators":["pB6Fcnrjim","rysDP5nf3Z","kn8WO9XteQ","QbnwKVWMIQ","gJLn6v0xnP","UMwdvZNt44","lwHaAYXP2r","uFcxV4UQCh"],"dependent_operators":["DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=2607","layer":4},{"info":"number node, value=4238","layer":4},{"info":"compute binary expreesion, left_input=2607, right_input=4238, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=15080","layer":3},{"info":"number node, value=2683","layer":4},{"info":"number node, value=5280","layer":4},{"info":"compute binary expreesion, left_input=2683, right_input=5280, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=15080, right_input=1234, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=13801","layer":2},{"info":"number node, value=7115","layer":4},{"info":"number node, value=2344","layer":4},{"info":"compute binary expreesion, left_input=7115, right_input=2344, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"number node, value=5084","layer":4},{"info":"number node, value=3123","layer":4},{"info":"compute binary expreesion, left_input=5084, right_input=3123, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1961","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1961, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=13801, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"⇙⪊(≴∭⊉10413⪥≴∭⊉15233⨭⪣(≴∭⊉10552≥⨤⩑≴∭⊉21252)-(≴∭⊉26513⨚⇆≴∭⊉6556)⇡⇂(≴∭⊉20552⪛≴∭⊉12051))=NaN","reverse_text":"NaN=⇙⪊(≴∭⊉10413⪥≴∭⊉15233⨭⪣(≴∭⊉10552≥⨤⩑≴∭⊉21252)-(≴∭⊉26513⨚⇆≴∭⊉6556)⇡⇂(≴∭⊉20552⪛≴∭⊉12051))","cot":[{"info":"≴∭⊉10413⪥≴∭⊉15233=≴∭⊉61652","layer":3},{"info":"≴∭⊉10552≥⨤⩑≴∭⊉21252=≴∭⊉3412","layer":3},{"info":"≴∭⊉61652⨭⪣≴∭⊉3412=≴∭⊉55144","layer":2},{"info":"≴∭⊉26513⨚⇆≴∭⊉6556=NaN","layer":3},{"info":"≴∭⊉20552⪛≴∭⊉12051=≴∭⊉5501","layer":3},{"info":"NaN⇡⇂≴∭⊉5501=NaN","layer":2},{"info":"≴∭⊉55144-NaN=NaN","layer":1},{"info":"⇙⪊NaN=NaN","layer":0}]}
+{"id":125,"expression_no_base_symbol":"(($3223$⪃↞⩐)↓($7300$⨐⩸⫘$4404$))↢(⇖($2945$⊜))+⇶⊼(⩷$4769$)↤⩊($3142$≬⋮$5191$)⨟⋌⩍($1895$⊍⩺⋍$6003$)+⪬∐($3036$⊹∫⫚$4059$)","expression":"((≴∭⊉12253⪃↞⩐)↓(≴∭⊉30166⨐⩸⫘≴∭⊉15561))↢(⇖(≴∭⊉11405⊜))+⇶⊼(⩷≴∭⊉16622)↤⩊(≴∭⊉12106≬⋮≴∭⊉21064)⨟⋌⩍(≴∭⊉5345⊍⩺⋍≴∭⊉23334)+⪬∐(≴∭⊉11565⊹∫⫚≴∭⊉14556)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1482,"operation_count":14,"complexity_ratio":105.85714285714286,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"unary","operator":"⪃↞⩐","unary_expr":{"type":"numeric_atoms","value":3223,"base":7}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":7300,"base":7},"right_expr":{"type":"numeric_atoms","value":4404,"base":7}}},"right_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"unary","operator":"⊜","unary_expr":{"type":"numeric_atoms","value":2945,"base":7}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"numeric_atoms","value":4769,"base":7}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":3142,"base":7},"right_expr":{"type":"numeric_atoms","value":5191,"base":7}}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":1895,"base":7},"right_expr":{"type":"numeric_atoms","value":6003,"base":7}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":3036,"base":7},"right_expr":{"type":"numeric_atoms","value":4059,"base":7}}}}},"used_operators":["TpPTUOHfaN","WR6HLWljOP","Af076pWI7l","grXIztHqDa","fu6greOZ01","tfWHHpNKUN","Eev2Q7dYIw","rGHVDoGpnC","13rbtpv6ld","1h0rLqGiFr","kbkesczE7y","2GS7woTJqF","OXDGMFPWZM","uWAJUKEvyW"],"dependent_operators":["AHs5Up7iyr","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","IwW236VD4Y","bF6eod5Gvf","l07mrZUIn9","3ViojmjbAp","2DQ55sFlQl","g55IO6H4Gj","D4vGDi5EA2","P8v4zCKN1o","Tcnh7f0tEr","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","g55IO6H4Gj","D4vGDi5EA2","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3223","layer":4},{"info":"compute unary expreesion, input=3223, op_id = grXIztHqDa, unary_op_definition = 'a⪃↞⩐ = { ((a→⨶⪴a)≠≀(a↪⪝)) }', output=19644","layer":3},{"info":"number node, value=7300","layer":4},{"info":"number node, value=4404","layer":4},{"info":"compute binary expreesion, left_input=7300, right_input=4404, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=19644, right_input=nan, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":2},{"info":"number node, value=2945","layer":4},{"info":"compute unary expreesion, input=2945, op_id = Eev2Q7dYIw, unary_op_definition = 'a⊜ = { ((a≦≮≮)⨸⪁(∥⊫a)) }', output=-10044","layer":3},{"info":"compute unary expreesion, input=-10044, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=-134, right_input=160, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=-484","layer":1},{"info":"number node, value=4769","layer":4},{"info":"compute unary expreesion, input=4769, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-57307","layer":3},{"info":"number node, value=3142","layer":4},{"info":"number node, value=5191","layer":4},{"info":"compute binary expreesion, left_input=3142, right_input=5191, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=-57307, right_input=868, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":2},{"info":"number node, value=1895","layer":4},{"info":"number node, value=6003","layer":4},{"info":"compute binary expreesion, left_input=1895, right_input=6003, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"number node, value=3036","layer":4},{"info":"number node, value=4059","layer":4},{"info":"compute binary expreesion, left_input=3036, right_input=4059, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-484, right_input=nan, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉12253⪃↞⩐)↓(≴∭⊉30166⨐⩸⫘≴∭⊉15561))↢(⇖(≴∭⊉11405⊜))+⇶⊼(⩷≴∭⊉16622)↤⩊(≴∭⊉12106≬⋮≴∭⊉21064)⨟⋌⩍(≴∭⊉5345⊍⩺⋍≴∭⊉23334)+⪬∐(≴∭⊉11565⊹∫⫚≴∭⊉14556)=NaN","reverse_text":"NaN=((≴∭⊉12253⪃↞⩐)↓(≴∭⊉30166⨐⩸⫘≴∭⊉15561))↢(⇖(≴∭⊉11405⊜))+⇶⊼(⩷≴∭⊉16622)↤⩊(≴∭⊉12106≬⋮≴∭⊉21064)⨟⋌⩍(≴∭⊉5345⊍⩺⋍≴∭⊉23334)+⪬∐(≴∭⊉11565⊹∫⫚≴∭⊉14556)","cot":[{"info":"≴∭⊉12253⪃↞⩐=≴∭⊉111162","layer":3},{"info":"≴∭⊉30166⨐⩸⫘≴∭⊉15561=NaN","layer":3},{"info":"≴∭⊉111162↓NaN=≴∭⊉-251","layer":2},{"info":"≴∭⊉11405⊜=≴∭⊉-41166","layer":3},{"info":"⇖≴∭⊉-41166=≴∭⊉316","layer":2},{"info":"≴∭⊉-251↢≴∭⊉316=≴∭⊉-1261","layer":1},{"info":"⩷≴∭⊉16622=≴∭⊉-326035","layer":3},{"info":"≴∭⊉12106≬⋮≴∭⊉21064=≴∭⊉2350","layer":3},{"info":"≴∭⊉-326035↤⩊≴∭⊉2350=NaN","layer":2},{"info":"≴∭⊉5345⊍⩺⋍≴∭⊉23334=NaN","layer":3},{"info":"≴∭⊉11565⊹∫⫚≴∭⊉14556=≴∭⊉0","layer":3},{"info":"NaN+⪬∐≴∭⊉0=NaN","layer":2},{"info":"NaN⨟⋌⩍NaN=NaN","layer":1},{"info":"≴∭⊉-1261+⇶⊼NaN=NaN","layer":0}]}
+{"id":126,"expression_no_base_symbol":"(∨∊⋏$4438$)⊕∕($2834$⪬∳)⨥⫆(⊲⪭($4297$∷$1971$))⪉⨛($1907$⇌⫙⪟$1870$↡⊰⫅$2269$≒∊$3716$)⫁(↘$1642$⋕⪉⪜$1484$)","expression":"(∨∊⋏≴∭⊉15640)⊕∕(≴∭⊉11156⪬∳)⨥⫆(⊲⪭(≴∭⊉15346∷≴∭⊉5514))⪉⨛(≴∭⊉5363⇌⫙⪟≴∭⊉5311↡⊰⫅≴∭⊉6421≒∊≴∭⊉13556)⫁(↘≴∭⊉4534⋕⪉⪜≴∭⊉4220)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":33915,"operation_count":13,"complexity_ratio":2608.846153846154,"tree":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"numeric_atoms","value":4438,"base":7}},"right_expr":{"type":"unary","operator":"⪬∳","unary_expr":{"type":"numeric_atoms","value":2834,"base":7}}},"right_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":4297,"base":7},"right_expr":{"type":"numeric_atoms","value":1971,"base":7}}}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":1907,"base":7},"right_expr":{"type":"numeric_atoms","value":1870,"base":7}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":2269,"base":7},"right_expr":{"type":"numeric_atoms","value":3716,"base":7}}},"right_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":1642,"base":7},"right_expr":{"type":"numeric_atoms","value":1484,"base":7}}}}},"used_operators":["EWw2JM7wp4","yXekIHxTD4","9cloC0Ngie","R5aXW34M0v","O9U3z1385E","k7HXdKtiEU","D3AQDKkPcf","0ajvFaJAv0","VCtxkLNOzz","AFVx7xoS7T","5KTvxBwnZo","LdNpr8hQHL","z6LnFrNh4i"],"dependent_operators":["NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","FU0Cs4j7VP","ukq6epAj5P","k7HXdKtiEU","zVYPLywUTj","LYeZOJ0nQG","kuIXHzHcAH","tcjXMdvYtA","i8ToyICDmI","xUOZtlo3hN","9FxExcQeMw","NTOWxs364D","7j4O788W3g","cHh1gJQ2o6","AHs5Up7iyr","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","uFcxV4UQCh","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z"],"result":"≴∭⊉-526","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4438","layer":4},{"info":"compute unary expreesion, input=4438, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=93311","layer":3},{"info":"number node, value=2834","layer":4},{"info":"compute unary expreesion, input=2834, op_id = O9U3z1385E, unary_op_definition = 'a⪬∳ = { ((a∋a)⊪) , if ((a⪨⊡684)!=357 and (≘a)<480 and (⊲⪭a)>=673) ; (⫎≠⋺(a↛⩡⫤)) , else }', output=-709","layer":3},{"info":"compute binary expreesion, left_input=93311, right_input=-709, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=93311","layer":2},{"info":"number node, value=4297","layer":4},{"info":"number node, value=1971","layer":4},{"info":"compute binary expreesion, left_input=4297, right_input=1971, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=1971","layer":3},{"info":"compute unary expreesion, input=1971, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-2145","layer":2},{"info":"compute binary expreesion, left_input=93311, right_input=-2145, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=0","layer":1},{"info":"number node, value=1907","layer":4},{"info":"number node, value=1870","layer":4},{"info":"compute binary expreesion, left_input=1907, right_input=1870, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"number node, value=2269","layer":4},{"info":"number node, value=3716","layer":4},{"info":"compute binary expreesion, left_input=2269, right_input=3716, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-1785","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=-1785, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=nan","layer":2},{"info":"number node, value=1642","layer":4},{"info":"number node, value=1484","layer":4},{"info":"compute binary expreesion, left_input=1642, right_input=1484, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":3},{"info":"compute unary expreesion, input=2802, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=58","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=58, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=160, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=-265","layer":0}],"base":7,"result_base":7,"text":"(∨∊⋏≴∭⊉15640)⊕∕(≴∭⊉11156⪬∳)⨥⫆(⊲⪭(≴∭⊉15346∷≴∭⊉5514))⪉⨛(≴∭⊉5363⇌⫙⪟≴∭⊉5311↡⊰⫅≴∭⊉6421≒∊≴∭⊉13556)⫁(↘≴∭⊉4534⋕⪉⪜≴∭⊉4220)=≴∭⊉-526","reverse_text":"≴∭⊉-526=(∨∊⋏≴∭⊉15640)⊕∕(≴∭⊉11156⪬∳)⨥⫆(⊲⪭(≴∭⊉15346∷≴∭⊉5514))⪉⨛(≴∭⊉5363⇌⫙⪟≴∭⊉5311↡⊰⫅≴∭⊉6421≒∊≴∭⊉13556)⫁(↘≴∭⊉4534⋕⪉⪜≴∭⊉4220)","cot":[{"info":"∨∊⋏≴∭⊉15640=≴∭⊉536021","layer":3},{"info":"≴∭⊉11156⪬∳=≴∭⊉-2032","layer":3},{"info":"≴∭⊉536021⊕∕≴∭⊉-2032=≴∭⊉536021","layer":2},{"info":"≴∭⊉15346∷≴∭⊉5514=≴∭⊉5514","layer":3},{"info":"⊲⪭≴∭⊉5514=≴∭⊉-6153","layer":2},{"info":"≴∭⊉536021⨥⫆≴∭⊉-6153=≴∭⊉0","layer":1},{"info":"≴∭⊉5363⇌⫙⪟≴∭⊉5311=≴∭⊉221","layer":3},{"info":"≴∭⊉6421≒∊≴∭⊉13556=≴∭⊉-5130","layer":3},{"info":"≴∭⊉221↡⊰⫅≴∭⊉-5130=NaN","layer":2},{"info":"≴∭⊉4534⋕⪉⪜≴∭⊉4220=≴∭⊉11112","layer":3},{"info":"↘≴∭⊉11112=≴∭⊉112","layer":2},{"info":"NaN⫁≴∭⊉112=≴∭⊉316","layer":1},{"info":"≴∭⊉0⪉⨛≴∭⊉316=≴∭⊉-526","layer":0}]}
+{"id":127,"expression_no_base_symbol":"(↪⫪⫘($3208$⋻⩜⩜$1981$))⊬⨰($6024$⋛$1269$∪⫐$8009$⇤$1406$)⩘((⇨$1121$⨥⫆$3317$)⇽⩪)","expression":"(↪⫪⫘(≴∭⊉12232⋻⩜⩜≴∭⊉5530))⊬⨰(≴∭⊉23364⋛≴∭⊉3462∪⫐≴∭⊉32231⇤≴∭⊉4046)⩘((⇨≴∭⊉3161⨥⫆≴∭⊉12446)⇽⩪)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":964030,"operation_count":10,"complexity_ratio":96403.0,"tree":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":3208,"base":7},"right_expr":{"type":"numeric_atoms","value":1981,"base":7}}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":6024,"base":7},"right_expr":{"type":"numeric_atoms","value":1269,"base":7}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":8009,"base":7},"right_expr":{"type":"numeric_atoms","value":1406,"base":7}}}},"right_expr":{"type":"unary","operator":"⇽⩪","unary_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":1121,"base":7},"right_expr":{"type":"numeric_atoms","value":3317,"base":7}}}}},"used_operators":["cHh1gJQ2o6","s3Fd5m9Dh2","9dWsAM3GFt","oDCm7WA9JY","7YooWSwCyH","YbUVn0Rbpy","YSKBFp38Pu","FonBHBYJbU","G9tJMlZ94a","yXekIHxTD4"],"dependent_operators":["23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","rJVOvQCfKK","2DDjHMKMc0","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","W4YGzv6Whe","e1ybzncUwg","23Mk6UjR3U","tifHPKVTfV","g55IO6H4Gj","eewbuw0ToL","AF7qkfDlqP","k8jYdgA6NY","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X"],"result":"≴∭⊉316","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3208","layer":4},{"info":"number node, value=1981","layer":4},{"info":"compute binary expreesion, left_input=3208, right_input=1981, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=6416","layer":3},{"info":"compute unary expreesion, input=6416, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":2},{"info":"number node, value=6024","layer":4},{"info":"number node, value=1269","layer":4},{"info":"compute binary expreesion, left_input=6024, right_input=1269, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-77976","layer":3},{"info":"number node, value=8009","layer":4},{"info":"number node, value=1406","layer":4},{"info":"compute binary expreesion, left_input=8009, right_input=1406, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-44227","layer":3},{"info":"compute binary expreesion, left_input=-77976, right_input=-44227, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=-77976","layer":2},{"info":"compute binary expreesion, left_input=20, right_input=-77976, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=-311864","layer":1},{"info":"number node, value=1121","layer":4},{"info":"number node, value=3317","layer":4},{"info":"compute binary expreesion, left_input=1121, right_input=3317, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=6510","layer":3},{"info":"compute unary expreesion, input=6510, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = FonBHBYJbU, unary_op_definition = 'a⇽⩪ = { (((≉88)⨰(⨑⩽⪐a))⨸⪁((a+95)⇼⇔∾(a⋷a))) }', output=-510","layer":1},{"info":"compute binary expreesion, left_input=-311864, right_input=-510, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":0}],"base":7,"result_base":7,"text":"(↪⫪⫘(≴∭⊉12232⋻⩜⩜≴∭⊉5530))⊬⨰(≴∭⊉23364⋛≴∭⊉3462∪⫐≴∭⊉32231⇤≴∭⊉4046)⩘((⇨≴∭⊉3161⨥⫆≴∭⊉12446)⇽⩪)=≴∭⊉316","reverse_text":"≴∭⊉316=(↪⫪⫘(≴∭⊉12232⋻⩜⩜≴∭⊉5530))⊬⨰(≴∭⊉23364⋛≴∭⊉3462∪⫐≴∭⊉32231⇤≴∭⊉4046)⩘((⇨≴∭⊉3161⨥⫆≴∭⊉12446)⇽⩪)","cot":[{"info":"≴∭⊉12232⋻⩜⩜≴∭⊉5530=≴∭⊉24464","layer":3},{"info":"↪⫪⫘≴∭⊉24464=≴∭⊉26","layer":2},{"info":"≴∭⊉23364⋛≴∭⊉3462=≴∭⊉-443223","layer":3},{"info":"≴∭⊉32231⇤≴∭⊉4046=≴∭⊉-242641","layer":3},{"info":"≴∭⊉-443223∪⫐≴∭⊉-242641=≴∭⊉-443223","layer":2},{"info":"≴∭⊉26⊬⨰≴∭⊉-443223=≴∭⊉-2436140","layer":1},{"info":"≴∭⊉3161⨥⫆≴∭⊉12446=≴∭⊉24660","layer":3},{"info":"⇨≴∭⊉24660=≴∭⊉0","layer":2},{"info":"≴∭⊉0⇽⩪=≴∭⊉-1326","layer":1},{"info":"≴∭⊉-2436140⩘≴∭⊉-1326=≴∭⊉316","layer":0}]}
+{"id":128,"expression_no_base_symbol":"(($6843$⋥⋵⩄$6397$)⨸$1179$↤⩊$3473$)≌(($2685$≚⊃≕$1985$)⨽∌$4142$⇡⇂$2567$)↳≱(($1612$⪚$4166$⫳≱↱$2992$∴$4632$)⨫⇇↔($3881$∷$1217$+(↓⇌$5390$)))","expression":"((≴∭⊉25644⋥⋵⩄≴∭⊉24436)⨸≴∭⊉3303↤⩊≴∭⊉13061)≌((≴∭⊉10554≚⊃≕≴∭⊉5534)⨽∌≴∭⊉15035⇡⇂≴∭⊉10325)↳≱((≴∭⊉4462⪚≴∭⊉15101⫳≱↱≴∭⊉11503∴≴∭⊉16335)⨫⇇↔(≴∭⊉14213∷≴∭⊉3356+(↓⇌≴∭⊉21500)))","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":13141,"operation_count":15,"complexity_ratio":876.0666666666667,"tree":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":6843,"base":7},"right_expr":{"type":"numeric_atoms","value":6397,"base":7}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":1179,"base":7},"right_expr":{"type":"numeric_atoms","value":3473,"base":7}}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":2685,"base":7},"right_expr":{"type":"numeric_atoms","value":1985,"base":7}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":4142,"base":7},"right_expr":{"type":"numeric_atoms","value":2567,"base":7}}}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":1612,"base":7},"right_expr":{"type":"numeric_atoms","value":4166,"base":7}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":2992,"base":7},"right_expr":{"type":"numeric_atoms","value":4632,"base":7}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":3881,"base":7},"right_expr":{"type":"numeric_atoms","value":1217,"base":7}},"right_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"numeric_atoms","value":5390,"base":7}}}}},"used_operators":["JwTKLfZU96","lyWz822IDG","KmoU8R5UQR","7t3wd0Fuz7","13rbtpv6ld","9samAPKr6k","Bmrmz2XGnR","UMwdvZNt44","LXhwmt4mBO","ZvLB05nZmT","HrjLwUk87U","hrf7POJlIJ","W4YGzv6Whe","D3AQDKkPcf","PxpmPgHHJV"],"dependent_operators":["DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","9FxExcQeMw","NTOWxs364D","7j4O788W3g","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6843","layer":4},{"info":"number node, value=6397","layer":4},{"info":"compute binary expreesion, left_input=6843, right_input=6397, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"number node, value=1179","layer":4},{"info":"number node, value=3473","layer":4},{"info":"compute binary expreesion, left_input=1179, right_input=3473, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=nan, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=226","layer":2},{"info":"number node, value=2685","layer":4},{"info":"number node, value=1985","layer":4},{"info":"compute binary expreesion, left_input=2685, right_input=1985, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":3},{"info":"number node, value=4142","layer":4},{"info":"number node, value=2567","layer":4},{"info":"compute binary expreesion, left_input=4142, right_input=2567, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=226, right_input=nan, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":1},{"info":"number node, value=1612","layer":4},{"info":"number node, value=4166","layer":4},{"info":"compute binary expreesion, left_input=1612, right_input=4166, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-5464","layer":3},{"info":"number node, value=2992","layer":4},{"info":"number node, value=4632","layer":4},{"info":"compute binary expreesion, left_input=2992, right_input=4632, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=7632","layer":3},{"info":"compute binary expreesion, left_input=-5464, right_input=7632, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-2802","layer":2},{"info":"number node, value=3881","layer":4},{"info":"number node, value=1217","layer":4},{"info":"compute binary expreesion, left_input=3881, right_input=1217, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=1217","layer":3},{"info":"number node, value=5390","layer":4},{"info":"compute unary expreesion, input=5390, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=5390","layer":3},{"info":"compute binary expreesion, left_input=1217, right_input=5390, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6607","layer":2},{"info":"compute binary expreesion, left_input=-2802, right_input=6607, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-527, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉25644⋥⋵⩄≴∭⊉24436)⨸≴∭⊉3303↤⩊≴∭⊉13061)≌((≴∭⊉10554≚⊃≕≴∭⊉5534)⨽∌≴∭⊉15035⇡⇂≴∭⊉10325)↳≱((≴∭⊉4462⪚≴∭⊉15101⫳≱↱≴∭⊉11503∴≴∭⊉16335)⨫⇇↔(≴∭⊉14213∷≴∭⊉3356+(↓⇌≴∭⊉21500)))=≴∭⊉0","reverse_text":"≴∭⊉0=((≴∭⊉25644⋥⋵⩄≴∭⊉24436)⨸≴∭⊉3303↤⩊≴∭⊉13061)≌((≴∭⊉10554≚⊃≕≴∭⊉5534)⨽∌≴∭⊉15035⇡⇂≴∭⊉10325)↳≱((≴∭⊉4462⪚≴∭⊉15101⫳≱↱≴∭⊉11503∴≴∭⊉16335)⨫⇇↔(≴∭⊉14213∷≴∭⊉3356+(↓⇌≴∭⊉21500)))","cot":[{"info":"≴∭⊉25644⋥⋵⩄≴∭⊉24436=≴∭⊉221","layer":3},{"info":"≴∭⊉3303↤⩊≴∭⊉13061=NaN","layer":3},{"info":"≴∭⊉221⨸NaN=≴∭⊉442","layer":2},{"info":"≴∭⊉10554≚⊃≕≴∭⊉5534=≴∭⊉124","layer":3},{"info":"≴∭⊉15035⇡⇂≴∭⊉10325=NaN","layer":3},{"info":"≴∭⊉124⨽∌NaN=NaN","layer":2},{"info":"≴∭⊉442≌NaN=NaN","layer":1},{"info":"≴∭⊉4462⪚≴∭⊉15101=≴∭⊉-21634","layer":3},{"info":"≴∭⊉11503∴≴∭⊉16335=≴∭⊉31152","layer":3},{"info":"≴∭⊉-21634⫳≱↱≴∭⊉31152=≴∭⊉-11112","layer":2},{"info":"≴∭⊉14213∷≴∭⊉3356=≴∭⊉3356","layer":3},{"info":"↓⇌≴∭⊉21500=≴∭⊉21500","layer":3},{"info":"≴∭⊉3356+≴∭⊉21500=≴∭⊉25156","layer":2},{"info":"≴∭⊉-11112⨫⇇↔≴∭⊉25156=≴∭⊉-1352","layer":1},{"info":"NaN↳≱≴∭⊉-1352=≴∭⊉0","layer":0}]}
+{"id":129,"expression_no_base_symbol":"((⨝⨆$5341$⫲≸⪮$7958$)⊾⪯⋞$6260$∌$3180$⨒$3392$⨽$5948$)⊹∫⫚((∐⩳⋚($1234$⪪$2313$))↙((⨵$1931$)⩭))","expression":"((⨝⨆≴∭⊉21400⫲≸⪮≴∭⊉32126)⊾⪯⋞≴∭⊉24152∌≴∭⊉12162⨒≴∭⊉12614⨽≴∭⊉23225)⊹∫⫚((∐⩳⋚(≴∭⊉3412⪪≴∭⊉6513))↙((⨵≴∭⊉5426)⩭))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":854751,"operation_count":12,"complexity_ratio":71229.25,"tree":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":5341,"base":7},"right_expr":{"type":"numeric_atoms","value":7958,"base":7}}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":6260,"base":7},"right_expr":{"type":"numeric_atoms","value":3180,"base":7}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3392,"base":7},"right_expr":{"type":"numeric_atoms","value":5948,"base":7}}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":1234,"base":7},"right_expr":{"type":"numeric_atoms","value":2313,"base":7}}},"right_expr":{"type":"unary","operator":"⩭","unary_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"numeric_atoms","value":1931,"base":7}}}}},"used_operators":["uWAJUKEvyW","HK0tfVPux8","bQ67fsrMVf","P3lXMJvFrc","y75s1iXyHd","8cLx32lpNA","8HhzD0ZcuI","yyfyN0ffXY","SL6IHkK8vl","xD69zh8xqp","yIPP7u6H5x","Tl3Y52tvF8"],"dependent_operators":["BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","tifHPKVTfV","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","tmPS8pqC7x","DpFCA1CohY","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","FU0Cs4j7VP","JclMnS0uGI","nOKPl9n5zu","SUmda5xLS4","9HNa5Wba9A","fu6greOZ01","3tVxb0NHM4","GjBEYRfMaF","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ"],"result":"≴∭⊉-323","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5341","layer":4},{"info":"number node, value=7958","layer":4},{"info":"compute binary expreesion, left_input=5341, right_input=7958, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=5341","layer":3},{"info":"compute unary expreesion, input=5341, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=5132","layer":2},{"info":"number node, value=6260","layer":4},{"info":"number node, value=3180","layer":4},{"info":"compute binary expreesion, left_input=6260, right_input=3180, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-3180","layer":3},{"info":"number node, value=3392","layer":4},{"info":"number node, value=5948","layer":4},{"info":"compute binary expreesion, left_input=3392, right_input=5948, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-34533522","layer":3},{"info":"compute binary expreesion, left_input=-3180, right_input=-34533522, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=1","layer":2},{"info":"compute binary expreesion, left_input=5132, right_input=1, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=-818","layer":1},{"info":"number node, value=1234","layer":4},{"info":"number node, value=2313","layer":4},{"info":"compute binary expreesion, left_input=1234, right_input=2313, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-182423","layer":3},{"info":"compute unary expreesion, input=-182423, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=-52938608","layer":2},{"info":"number node, value=1931","layer":4},{"info":"compute unary expreesion, input=1931, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=-16657","layer":3},{"info":"compute unary expreesion, input=-16657, op_id = yIPP7u6H5x, unary_op_definition = 'a⩭ = { (((a⨐⩸⫘a)⪎↠(696*a))⪔(224⪄(⋗⩴⪓a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-52938608, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-52938608","layer":1},{"info":"compute binary expreesion, left_input=-818, right_input=-52938608, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-164","layer":0}],"base":7,"result_base":7,"text":"((⨝⨆≴∭⊉21400⫲≸⪮≴∭⊉32126)⊾⪯⋞≴∭⊉24152∌≴∭⊉12162⨒≴∭⊉12614⨽≴∭⊉23225)⊹∫⫚((∐⩳⋚(≴∭⊉3412⪪≴∭⊉6513))↙((⨵≴∭⊉5426)⩭))=≴∭⊉-323","reverse_text":"≴∭⊉-323=((⨝⨆≴∭⊉21400⫲≸⪮≴∭⊉32126)⊾⪯⋞≴∭⊉24152∌≴∭⊉12162⨒≴∭⊉12614⨽≴∭⊉23225)⊹∫⫚((∐⩳⋚(≴∭⊉3412⪪≴∭⊉6513))↙((⨵≴∭⊉5426)⩭))","cot":[{"info":"≴∭⊉21400⫲≸⪮≴∭⊉32126=≴∭⊉21400","layer":3},{"info":"⨝⨆≴∭⊉21400=≴∭⊉20651","layer":2},{"info":"≴∭⊉24152∌≴∭⊉12162=≴∭⊉-12162","layer":3},{"info":"≴∭⊉12614⨽≴∭⊉23225=≴∭⊉-566346552","layer":3},{"info":"≴∭⊉-12162⨒≴∭⊉-566346552=≴∭⊉1","layer":2},{"info":"≴∭⊉20651⊾⪯⋞≴∭⊉1=≴∭⊉-2246","layer":1},{"info":"≴∭⊉3412⪪≴∭⊉6513=≴∭⊉-1356563","layer":3},{"info":"∐⩳⋚≴∭⊉-1356563=≴∭⊉-1211653652","layer":2},{"info":"⨵≴∭⊉5426=≴∭⊉-66364","layer":3},{"info":"≴∭⊉-66364⩭=NaN","layer":2},{"info":"≴∭⊉-1211653652↙NaN=≴∭⊉-1211653652","layer":1},{"info":"≴∭⊉-2246⊹∫⫚≴∭⊉-1211653652=≴∭⊉-323","layer":0}]}
+{"id":130,"expression_no_base_symbol":"((⫖→$3885$)↡⊰⫅(≯$1121$))⨭⪣$3408$⨪↰⇹$4061$⋾⨃∁($1680$⋾⨃∁$3059$)∙∹∝((⇾⩊⇾$4432$)≎⪠($4615$⫁⪎$3846$))⪬(↪⫪⫘($1492$⫥∨⫟$7482$))","expression":"((⫖→≴∭⊉14220)↡⊰⫅(≯≴∭⊉3161))⨭⪣≴∭⊉12636⨪↰⇹≴∭⊉14561⋾⨃∁(≴∭⊉4620⋾⨃∁��∭⊉11630)∙∹∝((⇾⩊⇾≴∭⊉15631)≎⪠(≴∭⊉16312⫁⪎≴∭⊉14133))⪬(↪⫪⫘(≴∭⊉4231⫥∨⫟≴∭⊉30546))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":93568557,"operation_count":14,"complexity_ratio":6683468.357142857,"tree":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"numeric_atoms","value":3885,"base":7}},"right_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"numeric_atoms","value":1121,"base":7}}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3408,"base":7},"right_expr":{"type":"numeric_atoms","value":4061,"base":7}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":1680,"base":7},"right_expr":{"type":"numeric_atoms","value":3059,"base":7}}}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"numeric_atoms","value":4432,"base":7}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":4615,"base":7},"right_expr":{"type":"numeric_atoms","value":3846,"base":7}}},"right_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1492,"base":7},"right_expr":{"type":"numeric_atoms","value":7482,"base":7}}}}},"used_operators":["HmxsFra2vL","kn8WO9XteQ","VCtxkLNOzz","U4ylXWHChL","keWfFq85dY","212REbPD9h","tmPS8pqC7x","Ez1Nq5fNfI","aNhz54LH3e","bx9Z9DAK5y","xRrnTEsQ6j","9dWsAM3GFt","KYD54nUTWz"],"dependent_operators":["BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","g55IO6H4Gj","JLbD19bQDL","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","rJVOvQCfKK","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","8HhzD0ZcuI","rGHVDoGpnC"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3885","layer":4},{"info":"compute unary expreesion, input=3885, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":3},{"info":"number node, value=1121","layer":4},{"info":"compute unary expreesion, input=1121, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=177, right_input=0, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=0","layer":2},{"info":"number node, value=3408","layer":4},{"info":"number node, value=4061","layer":4},{"info":"compute binary expreesion, left_input=3408, right_input=4061, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=3408","layer":3},{"info":"number node, value=1680","layer":4},{"info":"number node, value=3059","layer":4},{"info":"compute binary expreesion, left_input=1680, right_input=3059, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=93538008","layer":3},{"info":"compute binary expreesion, left_input=3408, right_input=93538008, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-21","layer":1},{"info":"number node, value=4432","layer":4},{"info":"compute unary expreesion, input=4432, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-46374","layer":3},{"info":"number node, value=4615","layer":4},{"info":"number node, value=3846","layer":4},{"info":"compute binary expreesion, left_input=4615, right_input=3846, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=769","layer":3},{"info":"compute binary expreesion, left_input=-46374, right_input=769, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":2},{"info":"number node, value=1492","layer":4},{"info":"number node, value=7482","layer":4},{"info":"compute binary expreesion, left_input=1492, right_input=7482, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=19558, right_input=nan, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=1234, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":0}],"base":7,"result_base":7,"text":"((⫖→≴∭⊉14220)↡⊰⫅(≯≴∭⊉3161))⨭⪣≴∭⊉12636⨪↰⇹≴∭⊉14561⋾⨃∁(≴∭⊉4620⋾⨃∁≴∭⊉11630)∙∹∝((⇾⩊⇾≴∭⊉15631)≎⪠(≴∭⊉16312⫁⪎≴∭⊉14133))⪬(↪⫪⫘(≴∭⊉4231⫥∨⫟≴∭⊉30546))=≴∭⊉0","reverse_text":"≴∭⊉0=((⫖→≴∭⊉14220)↡⊰⫅(≯≴∭⊉3161))⨭⪣≴∭⊉12636⨪↰⇹≴∭⊉14561⋾⨃∁(≴∭⊉4620⋾⨃∁≴∭⊉11630)∙∹∝((⇾⩊⇾≴∭⊉15631)≎⪠(≴∭⊉16312⫁⪎≴∭⊉14133))⪬(↪⫪⫘(≴∭⊉4231⫥∨⫟≴∭⊉30546))","cot":[{"info":"⫖→≴∭⊉14220=≴∭⊉342","layer":3},{"info":"≯≴∭⊉3161=≴∭⊉0","layer":3},{"info":"≴∭⊉342↡⊰⫅≴∭⊉0=≴∭⊉0","layer":2},{"info":"≴∭⊉12636⨪↰⇹≴∭⊉14561=≴∭⊉12636","layer":3},{"info":"≴∭⊉4620⋾⨃∁≴∭⊉11630=≴∭⊉2214026364","layer":3},{"info":"≴∭⊉12636⋾⨃∁≴∭⊉2214026364=NaN","layer":2},{"info":"≴∭⊉0⨭⪣NaN=≴∭⊉-30","layer":1},{"info":"⇾⩊⇾≴∭⊉15631=≴∭⊉-252126","layer":3},{"info":"≴∭⊉16312⫁⪎≴∭⊉14133=≴∭⊉2146","layer":3},{"info":"≴∭⊉-252126≎⪠≴∭⊉2146=≴∭⊉111010","layer":2},{"info":"≴∭⊉4231⫥∨⫟≴∭⊉30546=NaN","layer":3},{"info":"↪⫪⫘NaN=NaN","layer":2},{"info":"≴∭⊉111010⪬NaN=≴∭⊉3412","layer":1},{"info":"≴∭⊉-30∙∹∝≴∭⊉3412=≴∭⊉0","layer":0}]}
+{"id":131,"expression_no_base_symbol":"(($1349$⇷$4302$)⇗⋫)≴⪞⇿(⨴⫝$2478$⇮⋭$7335$)⨚(($1351$≠≀$1669$)⨻⩈⩔($3059$⨓$5793$))⇻⋧≁(($1415$⫽⇹≛)⋐⇩⊬)","expression":"((≴∭⊉3635⇷≴∭⊉15354)⇗⋫)≴⪞⇿(⨴⫝≴∭⊉10140⇮⋭≴∭⊉30246)⨚((≴∭⊉3640≠≀≴∭⊉4603)⨻⩈⩔(≴∭⊉11630⨓≴∭⊉22614))⇻⋧≁((≴∭⊉4061⫽⇹≛)⋐⇩⊬)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":26931,"operation_count":12,"complexity_ratio":2244.25,"tree":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"unary","operator":"⇗⋫","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1349,"base":7},"right_expr":{"type":"numeric_atoms","value":4302,"base":7}}},"right_expr":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":2478,"base":7},"right_expr":{"type":"numeric_atoms","value":7335,"base":7}}}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":1351,"base":7},"right_expr":{"type":"numeric_atoms","value":1669,"base":7}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3059,"base":7},"right_expr":{"type":"numeric_atoms","value":5793,"base":7}}},"right_expr":{"type":"unary","operator":"⋐⇩⊬","unary_expr":{"type":"unary","operator":"⫽⇹≛","unary_expr":{"type":"numeric_atoms","value":1415,"base":7}}}}},"used_operators":["nREPSIbpBE","lvlrscuwVU","hpqmaQFPrd","mp7IySMOzn","SVb2v531z1","vkpjKywKVM","jCPkEVoL5K","nEsXyWgiOK","IwW236VD4Y","3ViojmjbAp","JuuLT1NoCs","NNaDxxp6OQ"],"dependent_operators":["BjRHVeLaeN","12rbrZMWeM","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","rxpJgHHUmx","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","mp7IySMOzn","JclMnS0uGI","ddLRYrp01A","KbjG8mgYpV","AdZkA7nFnk","IWmyXbctLI"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1349","layer":4},{"info":"number node, value=4302","layer":4},{"info":"compute binary expreesion, left_input=1349, right_input=4302, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=8604","layer":3},{"info":"compute unary expreesion, input=8604, op_id = hpqmaQFPrd, unary_op_definition = 'a⇗⋫ = { (a≭a) }', output=nan","layer":2},{"info":"number node, value=2478","layer":4},{"info":"number node, value=7335","layer":4},{"info":"compute binary expreesion, left_input=2478, right_input=7335, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute unary expreesion, input=-473, op_id = SVb2v531z1, unary_op_definition = '⨴⫝a = { ((⪨⨬(⇋↷a))≬⇓((a⋅⇍a)⨑≵⋬(∡178))) , if (a⪇≇⋚963)!=62 ; (((541⋛107)⩼⇪↪(⪭⩑⪱a))⋻⩜⩜((a⊕∕a)∼(459⨽6))) , else }', output=2828198","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2828198, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=nan","layer":1},{"info":"number node, value=1351","layer":4},{"info":"number node, value=1669","layer":4},{"info":"compute binary expreesion, left_input=1351, right_input=1669, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-2396","layer":3},{"info":"number node, value=3059","layer":4},{"info":"number node, value=5793","layer":4},{"info":"compute binary expreesion, left_input=3059, right_input=5793, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-5796","layer":3},{"info":"compute binary expreesion, left_input=-2396, right_input=-5796, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":2},{"info":"number node, value=1415","layer":4},{"info":"compute unary expreesion, input=1415, op_id = NNaDxxp6OQ, unary_op_definition = 'a⫽⇹≛ = { ((113⋅⇍170)⪮%⊝(a∠↢a)) }', output=272","layer":3},{"info":"compute unary expreesion, input=272, op_id = JuuLT1NoCs, unary_op_definition = 'a⋐⇩⊬ = { (a⨔⇊a) , if (a∊∟⩊189)<=582 ; (a⇷a) , else }', output=272","layer":2},{"info":"compute binary expreesion, left_input=-174, right_input=272, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-447, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉3635⇷≴∭⊉15354)⇗⋫)≴⪞⇿(⨴⫝≴∭⊉10140⇮⋭≴∭⊉30246)⨚((≴∭⊉3640≠≀≴∭⊉4603)⨻⩈⩔(≴∭⊉11630⨓≴∭⊉22614))⇻⋧≁((≴∭⊉4061⫽⇹≛)⋐⇩⊬)=NaN","reverse_text":"NaN=((≴∭⊉3635⇷≴∭⊉15354)⇗⋫)≴⪞⇿(⨴⫝≴∭⊉10140⇮⋭≴∭⊉30246)⨚((≴∭⊉3640≠≀≴∭⊉4603)⨻⩈⩔(≴∭⊉11630⨓≴∭⊉22614))⇻⋧≁((≴∭⊉4061⫽⇹≛)⋐⇩⊬)","cot":[{"info":"≴∭⊉3635⇷≴∭⊉15354=≴∭⊉34041","layer":3},{"info":"≴∭⊉34041⇗⋫=NaN","layer":2},{"info":"≴∭⊉10140⇮⋭≴∭⊉30246=≴∭⊉-1244","layer":3},{"info":"⨴⫝≴∭⊉-1244=≴∭⊉33016322","layer":2},{"info":"NaN≴⪞⇿≴∭⊉33016322=NaN","layer":1},{"info":"≴∭⊉3640≠≀≴∭⊉4603=≴∭⊉-6662","layer":3},{"info":"≴∭⊉11630⨓≴∭⊉22614=≴∭⊉-22620","layer":3},{"info":"≴∭⊉-6662⨻⩈⩔≴∭⊉-22620=≴∭⊉-336","layer":2},{"info":"≴∭⊉4061⫽⇹≛=≴∭⊉536","layer":3},{"info":"≴∭⊉536⋐⇩⊬=≴∭⊉536","layer":2},{"info":"≴∭⊉-336⇻⋧≁≴∭⊉536=≴∭⊉-1206","layer":1},{"info":"NaN⨚≴∭⊉-1206=NaN","layer":0}]}
+{"id":132,"expression_no_base_symbol":"((⋃$5641$⇡⇂$1261$)⨵⪆$3275$⨿$3298$⩇∃⫛$1520$↞⋁$1125$)∓⋝((∜⨇$4310$)⊕∕($1318$⨚$2227$)≭($3499$⪘⫢$3680$)∌↝($1017$⨱∎))","expression":"((⋃≴∭⊉22306⇡⇂≴∭⊉3451)⨵⪆≴∭⊉12356⨿≴∭⊉12421⩇∃⫛≴∭⊉4301↞⋁≴∭⊉3165)∓⋝((∜⨇≴∭⊉15365)⊕∕(≴∭⊉3562⨚≴∭⊉6331)≭(≴∭⊉13126⪘⫢≴∭⊉13505)∌↝(≴∭⊉2652⨱∎))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":7566,"operation_count":14,"complexity_ratio":540.4285714285714,"tree":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":5641,"base":7},"right_expr":{"type":"numeric_atoms","value":1261,"base":7}}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":3275,"base":7},"right_expr":{"type":"numeric_atoms","value":3298,"base":7}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":1520,"base":7},"right_expr":{"type":"numeric_atoms","value":1125,"base":7}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"numeric_atoms","value":4310,"base":7}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":1318,"base":7},"right_expr":{"type":"numeric_atoms","value":2227,"base":7}}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3499,"base":7},"right_expr":{"type":"numeric_atoms","value":3680,"base":7}},"right_expr":{"type":"unary","operator":"⨱∎","unary_expr":{"type":"numeric_atoms","value":1017,"base":7}}}}},"used_operators":["PoHhknlbAi","2DQ55sFlQl","3mBM5G4a3l","UMwdvZNt44","1aApVXNlOP","abYXlopdE0","RqrPlJkxDo","rxpJgHHUmx","9cloC0Ngie","uFPyJr306J","nREPSIbpBE","9Isq31Ruls","oacrs7FA3X","MmTdOpaElr"],"dependent_operators":["DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","rysDP5nf3Z","t8gj7n24qd","g55IO6H4Gj","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","AHs5Up7iyr","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","BjRHVeLaeN","12rbrZMWeM","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","tifHPKVTfV"],"result":"≴∭⊉-12201","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5641","layer":4},{"info":"number node, value=1261","layer":4},{"info":"compute binary expreesion, left_input=5641, right_input=1261, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=nan","layer":2},{"info":"number node, value=3275","layer":4},{"info":"number node, value=3298","layer":4},{"info":"compute binary expreesion, left_input=3275, right_input=3298, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"number node, value=1520","layer":4},{"info":"number node, value=1125","layer":4},{"info":"compute binary expreesion, left_input=1520, right_input=1125, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-319, right_input=nan, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=4310","layer":4},{"info":"compute unary expreesion, input=4310, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=nan","layer":3},{"info":"number node, value=1318","layer":4},{"info":"number node, value=2227","layer":4},{"info":"compute binary expreesion, left_input=1318, right_input=2227, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-5338","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5338, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=nan","layer":2},{"info":"number node, value=3499","layer":4},{"info":"number node, value=3680","layer":4},{"info":"compute binary expreesion, left_input=3499, right_input=3680, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=6874","layer":3},{"info":"number node, value=1017","layer":4},{"info":"compute unary expreesion, input=1017, op_id = MmTdOpaElr, unary_op_definition = 'a⨱∎ = { (a⇼⇔∾a) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=6874, right_input=0, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=-22","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=-22, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=-3186","layer":0}],"base":7,"result_base":7,"text":"((⋃≴∭⊉22306⇡⇂≴∭⊉3451)⨵⪆≴∭⊉12356⨿≴∭⊉12421⩇∃⫛≴∭⊉4301↞⋁≴∭⊉3165)∓⋝((∜⨇≴∭⊉15365)⊕∕(≴∭⊉3562⨚≴∭⊉6331)≭(≴∭⊉13126⪘⫢≴∭⊉13505)∌↝(≴∭⊉2652⨱∎))=≴∭⊉-12201","reverse_text":"≴∭⊉-12201=((⋃≴∭⊉22306⇡⇂≴∭⊉3451)⨵⪆≴∭⊉12356⨿≴∭⊉12421⩇∃⫛≴∭⊉4301↞⋁≴∭⊉3165)∓⋝((∜⨇≴∭⊉15365)⊕∕(≴∭⊉3562⨚≴∭⊉6331)≭(≴∭⊉13126⪘⫢≴∭⊉13505)∌↝(≴∭⊉2652⨱∎))","cot":[{"info":"≴∭⊉22306⇡⇂≴∭⊉3451=NaN","layer":3},{"info":"⋃NaN=NaN","layer":2},{"info":"≴∭⊉12356⨿≴∭⊉12421=≴∭⊉-634","layer":3},{"info":"≴∭⊉4301↞⋁≴∭⊉3165=NaN","layer":3},{"info":"≴∭⊉-634⩇∃⫛NaN=NaN","layer":2},{"info":"NaN⨵⪆NaN=≴∭⊉316","layer":1},{"info":"∜⨇≴∭⊉15365=NaN","layer":3},{"info":"≴∭⊉3562⨚≴∭⊉6331=≴∭⊉-21364","layer":3},{"info":"NaN⊕∕≴∭⊉-21364=NaN","layer":2},{"info":"≴∭⊉13126⪘⫢≴∭⊉13505=≴∭⊉26020","layer":3},{"info":"≴∭⊉2652⨱∎=≴∭⊉0","layer":3},{"info":"≴∭⊉26020∌↝≴∭⊉0=≴∭⊉0","layer":2},{"info":"NaN≭≴∭⊉0=≴∭⊉-31","layer":1},{"info":"≴∭⊉316∓⋝≴∭⊉-31=≴∭⊉-12201","layer":0}]}
+{"id":133,"expression_no_base_symbol":"⇁⨣⪵$1118$≎⪠$3973$≴⪞⇿($2817$↱$1021$)⫘(↨$1072$⨓$4100$)","expression":"⇁⨣⪵≴∭⊉3155≎⪠≴∭⊉14404≴⪞⇿(≴∭⊉11133↱≴∭⊉2656)⫘(↨≴∭⊉3061⨓≴∭⊉14645)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":42801,"operation_count":7,"complexity_ratio":6114.428571428572,"tree":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":1118,"base":7},"right_expr":{"type":"numeric_atoms","value":3973,"base":7}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":2817,"base":7},"right_expr":{"type":"numeric_atoms","value":1021,"base":7}}},"right_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1072,"base":7},"right_expr":{"type":"numeric_atoms","value":4100,"base":7}}}}},"used_operators":["inkyxCbjAn","48vC8HMD2b","lvlrscuwVU","aNhz54LH3e","SR5kFfdi6N","jiX4gk2v2Q","3ViojmjbAp"],"dependent_operators":["B5M0gjZbta","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","rGHVDoGpnC","oZj3VtZNQx","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1118","layer":4},{"info":"number node, value=3973","layer":4},{"info":"compute binary expreesion, left_input=1118, right_input=3973, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"number node, value=2817","layer":4},{"info":"number node, value=1021","layer":4},{"info":"compute binary expreesion, left_input=2817, right_input=1021, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-2541","layer":3},{"info":"compute binary expreesion, left_input=19558, right_input=-2541, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(��≀≌(⨑⩽⪐a))) }', output=743792489","layer":2},{"info":"number node, value=1072","layer":4},{"info":"number node, value=4100","layer":4},{"info":"compute binary expreesion, left_input=1072, right_input=4100, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4103","layer":3},{"info":"compute unary expreesion, input=-4103, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=743792489, right_input=nan, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"⇁⨣⪵≴∭⊉3155≎⪠≴∭⊉14404≴⪞⇿(≴∭⊉11133↱≴∭⊉2656)⫘(↨≴∭⊉3061⨓≴∭⊉14645)=NaN","reverse_text":"NaN=⇁⨣⪵≴∭⊉3155≎⪠≴∭⊉14404≴⪞⇿(≴∭⊉11133↱≴∭⊉2656)⫘(↨≴∭⊉3061⨓≴∭⊉14645)","cot":[{"info":"≴∭⊉3155≎⪠≴∭⊉14404=≴∭⊉111010","layer":3},{"info":"≴∭⊉11133↱≴∭⊉2656=≴∭⊉-10260","layer":3},{"info":"≴∭⊉111010≴⪞⇿≴∭⊉-10260=≴∭⊉24301063136","layer":2},{"info":"≴∭⊉3061⨓≴∭⊉14645=≴∭⊉-14651","layer":3},{"info":"↨≴∭⊉-14651=NaN","layer":2},{"info":"≴∭⊉24301063136⫘NaN=NaN","layer":1},{"info":"⇁⨣⪵NaN=NaN","layer":0}]}
+{"id":134,"expression_no_base_symbol":"($1679$∥⊢⊲$1143$⋷$4987$⨸$1415$)∛(∑⇻≧$1115$)∋(∤↝$1349$)≄⊠($1941$⇣⩺⋵$1088$⫃⨇(⩷⨜⫀$1288$))∛(⊤⊝$1142$∣$6876$)","expression":"(≴∭⊉4616∥⊢⊲≴∭⊉3222⋷≴∭⊉20353⨸≴∭⊉4061)∛(∑⇻≧≴∭⊉3152)∋(∤↝≴∭⊉3635)≄⊠(≴∭⊉5442⇣⩺⋵≴∭⊉3113⫃⨇(⩷⨜⫀≴∭⊉3520))∛(⊤⊝≴∭⊉3221∣≴∭⊉26022)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":5556,"operation_count":14,"complexity_ratio":396.85714285714283,"tree":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":1679,"base":7},"right_expr":{"type":"numeric_atoms","value":1143,"base":7}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":4987,"base":7},"right_expr":{"type":"numeric_atoms","value":1415,"base":7}}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"numeric_atoms","value":1115,"base":7}},"right_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"numeric_atoms","value":1349,"base":7}}}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":1941,"base":7},"right_expr":{"type":"numeric_atoms","value":1088,"base":7}},"right_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"numeric_atoms","value":1288,"base":7}}},"right_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":1142,"base":7},"right_expr":{"type":"numeric_atoms","value":6876,"base":7}}}}},"used_operators":["vXNesLlMH1","w2537kitQq","23Mk6UjR3U","v1UQAVDJRr","KmoU8R5UQR","ukq6epAj5P","l1M9WJ3V7u","3UMq87Qwqg","09Ly4LVMIf","F4yD0voBRQ","CDi0ktkjQ4","rXAclfmB4M","PPChnnnBFF"],"dependent_operators":["d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","W4YGzv6Whe","t8gj7n24qd","EBcxylXtPf","rGHVDoGpnC","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","ruOEQAzv1W","nhYeJWJD5X","sdazOOVcIp","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI"],"result":"≴∭⊉4242","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1679","layer":4},{"info":"number node, value=1143","layer":4},{"info":"compute binary expreesion, left_input=1679, right_input=1143, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"number node, value=4987","layer":4},{"info":"number node, value=1415","layer":4},{"info":"compute binary expreesion, left_input=4987, right_input=1415, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=9974","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=9974, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":2},{"info":"number node, value=1115","layer":4},{"info":"compute unary expreesion, input=1115, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":3},{"info":"number node, value=1349","layer":4},{"info":"compute unary expreesion, input=1349, op_id = 3UMq87Qwqg, unary_op_definition = '∤↝a = { a , if ((a⊬⨰244)<=56 or (⫇a)>308 or (a⨐673)<=60) ; (((↩⪖a)⩼⇪↪(57∝206))↺(↩(⊲⪭a))) , else }', output=1349","layer":3},{"info":"compute binary expreesion, left_input=-852, right_input=1349, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=2697152","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2697152, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=nan","layer":1},{"info":"number node, value=1941","layer":4},{"info":"number node, value=1088","layer":4},{"info":"compute binary expreesion, left_input=1941, right_input=1088, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"number node, value=1288","layer":4},{"info":"compute unary expreesion, input=1288, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-1015","layer":3},{"info":"compute binary expreesion, left_input=-260, right_input=-1015, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=4028","layer":2},{"info":"number node, value=1142","layer":4},{"info":"number node, value=6876","layer":4},{"info":"compute binary expreesion, left_input=1142, right_input=6876, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=1142","layer":3},{"info":"compute unary expreesion, input=1142, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=986","layer":2},{"info":"compute binary expreesion, left_input=4028, right_input=986, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉4616∥⊢⊲≴∭⊉3222⋷≴∭⊉20353⨸≴∭⊉4061)∛(∑⇻≧≴∭⊉3152)∋(∤↝≴∭⊉3635)≄⊠(≴∭⊉5442⇣⩺⋵≴∭⊉3113⫃⨇(⩷⨜⫀≴∭⊉3520))∛(⊤⊝≴∭⊉3221∣≴∭⊉26022)=≴∭⊉4242","reverse_text":"≴∭⊉4242=(≴∭⊉4616∥⊢⊲≴∭⊉3222⋷≴∭⊉20353⨸≴∭⊉4061)∛(∑⇻≧≴∭⊉3152)∋(∤↝≴∭⊉3635)≄⊠(≴∭⊉5442⇣⩺⋵≴∭⊉3113⫃⨇(⩷⨜⫀≴∭⊉3520))∛(⊤⊝≴∭⊉3221∣≴∭⊉26022)","cot":[{"info":"≴∭⊉4616∥⊢⊲≴∭⊉3222=NaN","layer":3},{"info":"≴∭⊉20353⨸≴∭⊉4061=≴∭⊉41036","layer":3},{"info":"NaN⋷≴∭⊉41036=NaN","layer":2},{"info":"∑⇻≧≴∭⊉3152=≴∭⊉-2325","layer":3},{"info":"∤↝≴∭⊉3635=≴∭⊉3635","layer":3},{"info":"≴∭⊉-2325∋≴∭⊉3635=≴∭⊉31632263","layer":2},{"info":"NaN∛≴∭⊉31632263=NaN","layer":1},{"info":"≴∭⊉5442⇣⩺⋵≴∭⊉3113=≴∭⊉-521","layer":3},{"info":"⩷⨜⫀≴∭⊉3520=≴∭⊉-2650","layer":3},{"info":"≴∭⊉-521⫃⨇≴∭⊉-2650=≴∭⊉14513","layer":2},{"info":"≴∭⊉3221∣≴∭⊉26022=≴∭⊉3221","layer":3},{"info":"⊤⊝≴∭⊉3221=≴∭⊉2606","layer":2},{"info":"≴∭⊉14513∛≴∭⊉2606=≴∭⊉124","layer":1},{"info":"NaN≄⊠≴∭⊉124=≴∭⊉4242","layer":0}]}
+{"id":135,"expression_no_base_symbol":"(⫓⪴$5449$)⨽∌(⫇$3697$)⇤(($4215$⪇≇⋚$1905$)↬($1050$+$1638$))∋(↨⩢⫨(⋼∭⪍($1394$⨰$4683$)))","expression":"(⫓⪴≴∭⊉21613)⨽∌(⫇≴∭⊉13531)⇤((≴∭⊉15201⪇≇⋚≴∭⊉5361)↬(≴∭⊉3030+≴∭⊉4530))∋(↨⩢⫨(⋼∭⪍(≴∭⊉4031⨰≴∭⊉16440)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":5724,"operation_count":11,"complexity_ratio":520.3636363636364,"tree":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":5449,"base":7}},"right_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"numeric_atoms","value":3697,"base":7}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":4215,"base":7},"right_expr":{"type":"numeric_atoms","value":1905,"base":7}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1050,"base":7},"right_expr":{"type":"numeric_atoms","value":1638,"base":7}}}},"right_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1394,"base":7},"right_expr":{"type":"numeric_atoms","value":4683,"base":7}}}}},"used_operators":["ukq6epAj5P","YSKBFp38Pu","9samAPKr6k","eLxqMNBOBk","YjI8oCXuph","B5M0gjZbta","3sJ7IOPOlU","W4YGzv6Whe","Z5CJsN7DuW","DbCuESL50I","eewbuw0ToL"],"dependent_operators":["SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","9HNa5Wba9A","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","rGHVDoGpnC","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"≴∭⊉-5065156","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5449","layer":4},{"info":"compute unary expreesion, input=5449, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=29691601","layer":3},{"info":"number node, value=3697","layer":4},{"info":"compute unary expreesion, input=3697, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-6180","layer":3},{"info":"compute binary expreesion, left_input=29691601, right_input=-6180, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":2},{"info":"number node, value=4215","layer":4},{"info":"number node, value=1905","layer":4},{"info":"compute binary expreesion, left_input=4215, right_input=1905, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"number node, value=1050","layer":4},{"info":"number node, value=1638","layer":4},{"info":"compute binary expreesion, left_input=1050, right_input=1638, op_id = W4YGzv6Whe binary_op_definition= 'None', output=2688","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2688, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=2688","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=2688, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-10592","layer":1},{"info":"number node, value=1394","layer":4},{"info":"number node, value=4683","layer":4},{"info":"compute binary expreesion, left_input=1394, right_input=4683, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-3279","layer":3},{"info":"compute unary expreesion, input=-3279, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-19572","layer":2},{"info":"compute unary expreesion, input=-19572, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-10592, right_input=0, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=-604456","layer":0}],"base":7,"result_base":7,"text":"(⫓⪴≴∭⊉21613)⨽∌(⫇≴∭⊉13531)⇤((≴∭⊉15201⪇≇⋚≴∭⊉5361)↬(≴∭⊉3030+≴∭⊉4530))∋(↨⩢⫨(⋼∭⪍(≴∭⊉4031⨰≴∭⊉16440)))=≴∭⊉-5065156","reverse_text":"≴∭⊉-5065156=(⫓⪴≴∭⊉21613)⨽∌(⫇≴∭⊉13531)⇤((≴∭⊉15201⪇≇⋚≴∭⊉5361)↬(≴∭⊉3030+≴∭⊉4530))∋(↨⩢⫨(⋼∭⪍(≴∭⊉4031⨰≴∭⊉16440)))","cot":[{"info":"⫓⪴≴∭⊉21613=≴∭⊉510242302","layer":3},{"info":"⫇≴∭⊉13531=≴∭⊉-24006","layer":3},{"info":"≴∭⊉510242302⨽∌≴∭⊉-24006=≴∭⊉0","layer":2},{"info":"≴∭⊉15201⪇≇⋚≴∭⊉5361=≴∭⊉0","layer":3},{"info":"≴∭⊉3030+≴∭⊉4530=≴∭⊉10560","layer":3},{"info":"≴∭⊉0↬≴∭⊉10560=≴∭⊉10560","layer":2},{"info":"≴∭⊉0⇤≴∭⊉10560=≴∭⊉-42611","layer":1},{"info":"≴∭⊉4031⨰≴∭⊉16440=≴∭⊉-12363","layer":3},{"info":"⋼∭⪍≴∭⊉-12363=≴∭⊉-111030","layer":2},{"info":"↨⩢⫨≴∭⊉-111030=≴∭⊉0","layer":1},{"info":"≴∭⊉-42611∋≴∭⊉0=≴∭⊉-5065156","layer":0}]}
+{"id":136,"expression_no_base_symbol":"⨈⪑((≤/(≱⇩⩕$6066$))≫≃)","expression":"⨈⪑((≤/(≱⇩⩕≴∭⊉23454))≫≃)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":114,"operation_count":4,"complexity_ratio":28.5,"tree":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"numeric_atoms","value":6066,"base":7}}}}},"used_operators":["mp94q5OcYM","X99M06cbEe","eLAdDNolq6","3DZMoQKiUl"],"dependent_operators":["YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq"],"result":"≴∭⊉2350","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6066","layer":4},{"info":"compute unary expreesion, input=6066, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":3},{"info":"compute unary expreesion, input=113, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=371","layer":2},{"info":"compute unary expreesion, input=371, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=2143","layer":1},{"info":"compute unary expreesion, input=2143, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":0}],"base":7,"result_base":7,"text":"⨈⪑((≤/(≱⇩⩕≴∭⊉23454))≫≃)=≴∭⊉2350","reverse_text":"≴∭⊉2350=⨈⪑((≤/(≱⇩⩕≴∭⊉23454))≫≃)","cot":[{"info":"≱⇩⩕≴∭⊉23454=≴∭⊉221","layer":3},{"info":"≤/≴∭⊉221=≴∭⊉1040","layer":2},{"info":"≴∭⊉1040≫≃=≴∭⊉6151","layer":1},{"info":"⨈⪑≴∭⊉6151=≴∭⊉2350","layer":0}]}
+{"id":137,"expression_no_base_symbol":"(⨈⫕$2091$⩦$1199$)⨔⇊(($1658$⨔≚≋$1722$)∑⇟⊟(⫶⊄≣$1058$))⫸⇳((↨⩢⫨$4911$)-$1625$⩨$1270$)⨔≚≋($6884$⫯⪬∳$1490$)⨥⫆$1059$⇂≾⫗$2145$","expression":"(⨈⫕≴∭⊉6045⩦≴∭⊉3332)⨔⇊((≴∭⊉4556⨔≚≋≴∭⊉5010)∑⇟⊟(⫶⊄≣≴∭⊉3041))⫸⇳((↨⩢⫨≴∭⊉20214)-≴∭⊉4511⩨≴∭⊉3463)⨔≚≋(≴∭⊉26033⫯⪬∳≴∭⊉4226)⨥⫆≴∭⊉3042⇂≾⫗≴∭⊉6153","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1735,"operation_count":14,"complexity_ratio":123.92857142857143,"tree":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":2091,"base":7},"right_expr":{"type":"numeric_atoms","value":1199,"base":7}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":1658,"base":7},"right_expr":{"type":"numeric_atoms","value":1722,"base":7}},"right_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"numeric_atoms","value":1058,"base":7}}}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"numeric_atoms","value":4911,"base":7}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1625,"base":7},"right_expr":{"type":"numeric_atoms","value":1270,"base":7}}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":6884,"base":7},"right_expr":{"type":"numeric_atoms","value":1490,"base":7}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":1059,"base":7},"right_expr":{"type":"numeric_atoms","value":2145,"base":7}}}}},"used_operators":["gx7XJ7hdpj","JclMnS0uGI","megm06wKyl","0kmYd0q39Y","U7g4x0WXJJ","Z57zeUYC9z","wxb3vTeyAj","rysDP5nf3Z","Z5CJsN7DuW","2DlMacCsIx","yXekIHxTD4","d7ASUq0ydm","aBQ6xLxuTc"],"dependent_operators":["DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2091","layer":4},{"info":"number node, value=1199","layer":4},{"info":"compute binary expreesion, left_input=2091, right_input=1199, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=4182","layer":3},{"info":"compute unary expreesion, input=4182, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":2},{"info":"number node, value=1658","layer":4},{"info":"number node, value=1722","layer":4},{"info":"compute binary expreesion, left_input=1658, right_input=1722, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"number node, value=1058","layer":4},{"info":"compute unary expreesion, input=1058, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=20164285","layer":3},{"info":"compute binary expreesion, left_input=9872, right_input=20164285, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=nan, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=nan","layer":1},{"info":"number node, value=4911","layer":4},{"info":"compute unary expreesion, input=4911, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":3},{"info":"number node, value=1625","layer":4},{"info":"number node, value=1270","layer":4},{"info":"compute binary expreesion, left_input=1625, right_input=1270, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = rysDP5nf3Z binary_op_definition= 'None', output=0","layer":2},{"info":"number node, value=6884","layer":4},{"info":"number node, value=1490","layer":4},{"info":"compute binary expreesion, left_input=6884, right_input=1490, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=32963","layer":3},{"info":"number node, value=1059","layer":4},{"info":"number node, value=2145","layer":4},{"info":"compute binary expreesion, left_input=1059, right_input=2145, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"compute binary expreesion, left_input=32963, right_input=-676, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=-2760","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-2760, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(⨈⫕≴∭⊉6045⩦≴∭⊉3332)⨔⇊((≴∭⊉4556⨔≚≋≴∭⊉5010)∑⇟⊟(⫶⊄≣≴∭⊉3041))⫸⇳((↨⩢⫨≴∭⊉20214)-≴∭⊉4511⩨≴∭⊉3463)⨔≚≋(≴∭⊉26033⫯⪬∳≴∭⊉4226)⨥⫆≴∭⊉3042⇂≾⫗≴∭⊉6153=NaN","reverse_text":"NaN=(⨈⫕≴∭⊉6045⩦≴∭⊉3332)⨔⇊((≴∭⊉4556⨔≚≋≴∭⊉5010)∑⇟⊟(⫶⊄≣≴∭⊉3041))⫸⇳((↨⩢⫨≴∭⊉20214)-≴∭⊉4511⩨≴∭⊉3463)⨔≚≋(≴∭⊉26033⫯⪬∳≴∭⊉4226)⨥⫆≴∭⊉3042⇂≾⫗≴∭⊉6153","cot":[{"info":"≴∭⊉6045⩦≴∭⊉3332=≴∭⊉15123","layer":3},{"info":"⨈⫕≴∭⊉15123=≴∭⊉-30","layer":2},{"info":"≴∭⊉4556⨔≚≋≴∭⊉5010=≴∭⊉40532","layer":3},{"info":"⫶⊄≣≴∭⊉3041=≴∭⊉333252001","layer":3},{"info":"≴∭⊉40532∑⇟⊟≴∭⊉333252001=NaN","layer":2},{"info":"≴∭⊉-30⨔⇊NaN=NaN","layer":1},{"info":"↨⩢⫨≴∭⊉20214=≴∭⊉0","layer":3},{"info":"≴∭⊉4511⩨≴∭⊉3463=≴∭⊉0","layer":3},{"info":"≴∭⊉0-≴∭⊉0=≴∭⊉0","layer":2},{"info":"≴∭⊉26033⫯⪬∳≴∭⊉4226=≴∭⊉165050","layer":3},{"info":"≴∭⊉3042⇂≾⫗≴∭⊉6153=≴∭⊉-1654","layer":3},{"info":"≴∭⊉165050⨥⫆≴∭⊉-1654=≴∭⊉0","layer":2},{"info":"≴∭⊉0⨔≚≋≴∭⊉0=≴∭⊉-11022","layer":1},{"info":"NaN⫸⇳≴∭⊉-11022=NaN","layer":0}]}
+{"id":138,"expression_no_base_symbol":"(↩⪖($1609$⋷$2209$/$3135$⊹∫⫚$3192$))↢(⪡⇡≛($6965$↤⩊$1240$∩⋅))","expression":"(↩⪖(≴∭⊉4456⋷≴∭⊉6304/���∭⊉12066⊹∫⫚≴∭⊉12210))↢(⪡⇡≛(≴∭⊉26210↤⩊≴∭⊉3421∩⋅))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":286,"operation_count":8,"complexity_ratio":35.75,"tree":{"type":"binary","operator":"↢","left_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1609,"base":7},"right_expr":{"type":"numeric_atoms","value":2209,"base":7}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":3135,"base":7},"right_expr":{"type":"numeric_atoms","value":3192,"base":7}}}},"right_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"unary","operator":"∩⋅","unary_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":6965,"base":7},"right_expr":{"type":"numeric_atoms","value":1240,"base":7}}}}},"used_operators":["WR6HLWljOP","fG6uBQFnGz","XhwjNDsVaA","23Mk6UjR3U","uWAJUKEvyW","qL4PrbW1Dq","2MzE1hQ0cz","13rbtpv6ld"],"dependent_operators":["eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","Qy55tPpLXF","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY"],"result":"≴∭⊉-23355","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1609","layer":4},{"info":"number node, value=2209","layer":4},{"info":"compute binary expreesion, left_input=1609, right_input=2209, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=2809","layer":3},{"info":"number node, value=3135","layer":4},{"info":"number node, value=3192","layer":4},{"info":"compute binary expreesion, left_input=3135, right_input=3192, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-300","layer":3},{"info":"compute binary expreesion, left_input=2809, right_input=-300, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-10","layer":2},{"info":"compute unary expreesion, input=-10, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-2942","layer":1},{"info":"number node, value=6965","layer":4},{"info":"number node, value=1240","layer":4},{"info":"compute binary expreesion, left_input=6965, right_input=1240, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 2MzE1hQ0cz, unary_op_definition = 'a∩⋅ = { (a⋥≓≎44) }', output=67","layer":2},{"info":"compute unary expreesion, input=67, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-67","layer":1},{"info":"compute binary expreesion, left_input=-2942, right_input=-67, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=-6018","layer":0}],"base":7,"result_base":7,"text":"(↩⪖(≴∭⊉4456⋷≴∭⊉6304/≴∭⊉12066⊹∫⫚≴∭⊉12210))↢(⪡⇡≛(≴∭⊉26210↤⩊≴∭⊉3421∩⋅))=≴∭⊉-23355","reverse_text":"≴∭⊉-23355=(↩⪖(≴∭⊉4456⋷≴∭⊉6304/≴∭⊉12066⊹∫⫚≴∭⊉12210))↢(⪡⇡≛(≴∭⊉26210↤⩊≴∭⊉3421∩⋅))","cot":[{"info":"≴∭⊉4456⋷≴∭⊉6304=≴∭⊉11122","layer":3},{"info":"≴∭⊉12066⊹∫⫚≴∭⊉12210=≴∭⊉-606","layer":3},{"info":"≴∭⊉11122/≴∭⊉-606=≴∭⊉-13","layer":2},{"info":"↩⪖≴∭⊉-13=≴∭⊉-11402","layer":1},{"info":"≴∭⊉26210↤⩊≴∭⊉3421=NaN","layer":3},{"info":"NaN∩⋅=≴∭⊉124","layer":2},{"info":"⪡⇡≛≴∭⊉124=≴∭⊉-124","layer":1},{"info":"≴∭⊉-11402↢≴∭⊉-124=≴∭⊉-23355","layer":0}]}
+{"id":139,"expression_no_base_symbol":"((($1403$⋾⨃∁$8818$)⨕⋳)∪⫐$1726$⫒⫫$2250$≀⩗∶($1353$∷$4218$))⫢⨠(↩⪖($2567$≒∊$5744$))↬(⩦⊞($1186$⨟⋌⩍$1106$))","expression":"(((≴∭⊉4043⋾⨃∁≴∭⊉34465)⨕⋳)∪⫐≴∭⊉5014⫒⫫≴∭⊉6363≀⩗∶(≴∭⊉3642∷≴∭⊉15204))⫢⨠(↩⪖(≴∭⊉10325≒∊≴∭⊉22514))↬(⩦⊞(≴∭⊉3313⨟⋌⩍≴∭⊉3140))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":9055,"operation_count":12,"complexity_ratio":754.5833333333334,"tree":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"unary","operator":"⨕⋳","unary_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":1403,"base":7},"right_expr":{"type":"numeric_atoms","value":8818,"base":7}}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":1726,"base":7},"right_expr":{"type":"numeric_atoms","value":2250,"base":7}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":1353,"base":7},"right_expr":{"type":"numeric_atoms","value":4218,"base":7}}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":2567,"base":7},"right_expr":{"type":"numeric_atoms","value":5744,"base":7}}},"right_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1186,"base":7},"right_expr":{"type":"numeric_atoms","value":1106,"base":7}}}}},"used_operators":["xlXykHWxX1","7YooWSwCyH","4X4GscPmMf","212REbPD9h","8INZBEW696","6Ko8hGgeMq","D3AQDKkPcf","B5M0gjZbta","fG6uBQFnGz","5KTvxBwnZo","u7fv1HBiaC","rGHVDoGpnC"],"dependent_operators":["KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","rJVOvQCfKK","2DDjHMKMc0","9bazX3JMtO","nhYeJWJD5X","DbCuESL50I","3EYGwJThht","w2P8NbNXyL","uFcxV4UQCh","bJkvcejdHO","BUOGQAYlQx","cTDWOvIxvz","hrf7POJlIJ","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","9FxExcQeMw","NTOWxs364D","7j4O788W3g","rGHVDoGpnC","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1403","layer":4},{"info":"number node, value=8818","layer":4},{"info":"compute binary expreesion, left_input=1403, right_input=8818, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=777465330","layer":3},{"info":"compute unary expreesion, input=777465330, op_id = 4X4GscPmMf, unary_op_definition = 'a⨕⋳ = { ((⋼∭⪍(a∴a))⊉↱≁(⋂(a↹⊜60))) , if (a∝72)!=68 ; (((a≎⊠⪸503)⇄(a∇⊂⋱a))⪛a) , else }', output=nan","layer":2},{"info":"number node, value=1726","layer":4},{"info":"number node, value=2250","layer":4},{"info":"compute binary expreesion, left_input=1726, right_input=2250, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"number node, value=1353","layer":4},{"info":"number node, value=4218","layer":4},{"info":"compute binary expreesion, left_input=1353, right_input=4218, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=4218","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4218, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=nan","layer":1},{"info":"number node, value=2567","layer":4},{"info":"number node, value=5744","layer":4},{"info":"compute binary expreesion, left_input=2567, right_input=5744, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-2083","layer":3},{"info":"compute unary expreesion, input=-2083, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=26968","layer":2},{"info":"number node, value=1186","layer":4},{"info":"number node, value=1106","layer":4},{"info":"compute binary expreesion, left_input=1186, right_input=1106, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=26968, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(((≴∭⊉4043⋾⨃∁≴∭⊉34465)⨕⋳)∪⫐≴∭⊉5014⫒⫫≴∭⊉6363≀⩗∶(≴∭⊉3642∷≴∭⊉15204))⫢⨠(↩⪖(≴∭⊉10325≒∊≴∭⊉22514))↬(⩦⊞(≴∭⊉3313⨟⋌⩍≴∭⊉3140))=NaN","reverse_text":"NaN=(((≴∭⊉4043⋾⨃∁≴∭⊉34465)⨕⋳)∪⫐≴∭⊉5014⫒⫫≴∭⊉6363≀⩗∶(≴∭⊉3642∷≴∭⊉15204))⫢⨠(↩⪖(≴∭⊉10325≒∊≴∭⊉22514))↬(⩦⊞(≴∭⊉3313⨟⋌⩍≴∭⊉3140))","cot":[{"info":"≴∭⊉4043⋾⨃∁≴∭⊉34465=≴∭⊉25160226525","layer":3},{"info":"≴∭⊉25160226525⨕⋳=NaN","layer":2},{"info":"≴∭⊉5014⫒⫫≴∭⊉6363=NaN","layer":3},{"info":"≴∭⊉3642∷≴∭⊉15204=≴∭⊉15204","layer":3},{"info":"NaN≀⩗∶≴∭⊉15204=NaN","layer":2},{"info":"NaN∪⫐NaN=NaN","layer":1},{"info":"≴∭⊉10325≒∊≴∭⊉22514=≴∭⊉-6034","layer":3},{"info":"↩⪖≴∭⊉-6034=≴∭⊉141424","layer":2},{"info":"≴∭⊉3313⨟⋌⩍≴∭⊉3140=NaN","layer":3},{"info":"⩦⊞NaN=NaN","layer":2},{"info":"≴∭⊉141424↬NaN=NaN","layer":1},{"info":"NaN⫢⨠NaN=NaN","layer":0}]}
+{"id":140,"expression_no_base_symbol":"∥⊫(($3232$∷$5064$)⪬($1329$⊉↱≁$1670$)⊟⇱)","expression":"∥⊫((≴∭⊉12265∷≴∭⊉20523)⪬(≴∭⊉3606⊉↱≁≴∭⊉4604)⊟⇱)","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":608,"operation_count":5,"complexity_ratio":121.6,"tree":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"unary","operator":"⊟⇱","unary_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":3232,"base":7},"right_expr":{"type":"numeric_atoms","value":5064,"base":7}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":1329,"base":7},"right_expr":{"type":"numeric_atoms","value":1670,"base":7}}}}},"used_operators":["P8v4zCKN1o","03sUfWo75k","Ez1Nq5fNfI","D3AQDKkPcf","w2P8NbNXyL"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","IWmyXbctLI","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","9FxExcQeMw","NTOWxs364D","7j4O788W3g","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL"],"result":"≴∭⊉13435","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3232","layer":4},{"info":"number node, value=5064","layer":4},{"info":"compute binary expreesion, left_input=3232, right_input=5064, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=5064","layer":3},{"info":"number node, value=1329","layer":4},{"info":"number node, value=1670","layer":4},{"info":"compute binary expreesion, left_input=1329, right_input=1670, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=2156","layer":3},{"info":"compute binary expreesion, left_input=5064, right_input=2156, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"compute unary expreesion, input=1234, op_id = 03sUfWo75k, unary_op_definition = 'a⊟⇱ = { (a⪮%⊝a) }', output=2784","layer":1},{"info":"compute unary expreesion, input=2784, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=3652","layer":0}],"base":7,"result_base":7,"text":"∥⊫((≴∭⊉12265∷≴∭⊉20523)⪬(≴∭⊉3606⊉↱≁≴∭⊉4604)⊟⇱)=≴∭⊉13435","reverse_text":"≴∭⊉13435=∥⊫((≴∭⊉12265∷≴∭⊉20523)⪬(≴∭⊉3606⊉↱≁≴∭⊉4604)⊟⇱)","cot":[{"info":"≴∭⊉12265∷≴∭⊉20523=≴∭⊉20523","layer":3},{"info":"≴∭⊉3606⊉↱≁≴∭⊉4604=≴∭⊉6200","layer":3},{"info":"≴∭⊉20523⪬≴∭⊉6200=≴∭⊉3412","layer":2},{"info":"≴∭⊉3412⊟⇱=≴∭⊉11055","layer":1},{"info":"∥⊫≴∭⊉11055=≴∭⊉13435","layer":0}]}
+{"id":141,"expression_no_base_symbol":"(⪹($1293$⋾⨃∁$1352$⪒(∮$4962$)))⫁⪎((⨵(⨝⨆$2473$))≭(⨩∲⋌($4656$⩁⩘$1098$)))","expression":"(⪹(≴∭⊉3525⋾⨃∁≴∭⊉3641⪒(∮≴∭⊉20316)))⫁⪎((⨵(⨝⨆≴∭⊉10132))≭(⨩∲⋌(≴∭⊉16401⩁⩘≴∭⊉3126)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1784,"operation_count":10,"complexity_ratio":178.4,"tree":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":1293,"base":7},"right_expr":{"type":"numeric_atoms","value":1352,"base":7}},"right_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"numeric_atoms","value":4962,"base":7}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"numeric_atoms","value":2473,"base":7}}},"right_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":4656,"base":7},"right_expr":{"type":"numeric_atoms","value":1098,"base":7}}}}},"used_operators":["xRrnTEsQ6j","USyYr0JgAa","f6k1SAg4EE","212REbPD9h","CqXKPLVYql","rxpJgHHUmx","Tl3Y52tvF8","bQ67fsrMVf","aSik1wnThz","gub5Cegaqo"],"dependent_operators":["P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","tifHPKVTfV","W4YGzv6Whe","t8gj7n24qd","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","AHs5Up7iyr","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","tifHPKVTfV","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","DpFCA1CohY","IWmyXbctLI"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1293","layer":4},{"info":"number node, value=1352","layer":4},{"info":"compute binary expreesion, left_input=1293, right_input=1352, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=18262722","layer":3},{"info":"number node, value=4962","layer":4},{"info":"compute unary expreesion, input=4962, op_id = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=18262722, right_input=67, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-18262789","layer":2},{"info":"compute unary expreesion, input=-18262789, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=18262969","layer":1},{"info":"number node, value=2473","layer":4},{"info":"compute unary expreesion, input=2473, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=2264","layer":3},{"info":"compute unary expreesion, input=2264, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=-19321","layer":2},{"info":"number node, value=4656","layer":4},{"info":"number node, value=1098","layer":4},{"info":"compute binary expreesion, left_input=4656, right_input=1098, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=5340","layer":3},{"info":"compute unary expreesion, input=5340, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-5863","layer":2},{"info":"compute binary expreesion, left_input=-19321, right_input=-5863, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=18262969, right_input=nan, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(⪹(≴∭⊉3525⋾⨃∁≴∭⊉3641⪒(∮≴∭⊉20316)))⫁⪎((⨵(⨝⨆≴∭⊉10132))≭(⨩∲⋌(≴∭⊉16401⩁⩘≴∭⊉3126)))=NaN","reverse_text":"NaN=(⪹(≴∭⊉3525⋾⨃∁≴∭⊉3641⪒(∮≴∭⊉20316)))⫁⪎((⨵(⨝⨆≴∭⊉10132))≭(⨩∲⋌(≴∭⊉16401⩁⩘≴∭⊉3126)))","cot":[{"info":"≴∭⊉3525⋾⨃∁≴∭⊉3641=≴∭⊉311142042","layer":3},{"info":"∮≴∭⊉20316=≴∭⊉124","layer":3},{"info":"≴∭⊉311142042⪒≴∭⊉124=≴∭⊉-311142166","layer":2},{"info":"⪹≴∭⊉-311142166=≴∭⊉311142544","layer":1},{"info":"⨝⨆≴∭⊉10132=≴∭⊉6413","layer":3},{"info":"⨵≴∭⊉6413=≴∭⊉-110221","layer":2},{"info":"≴∭⊉16401⩁⩘≴∭⊉3126=≴∭⊉21366","layer":3},{"info":"⨩∲⋌≴∭⊉21366=≴∭⊉-23044","layer":2},{"info":"≴∭⊉-110221≭≴∭⊉-23044=NaN","layer":1},{"info":"≴∭⊉311142544⫁⪎NaN=NaN","layer":0}]}
+{"id":142,"expression_no_base_symbol":"↓⇌(($2084$∌↝$1037$)⊱⇼⊻($2032$∙⊟$6885$)⨭⪣(↨⩢⫨($1122$∀⇚≩$1044$)))","expression":"↓⇌((≴∭⊉6035∌↝≴∭⊉3011)⊱⇼⊻(≴∭⊉5632∙⊟≴∭⊉26034)⨭⪣(↨⩢⫨(≴∭⊉3162∀⇚≩≴∭⊉3021)))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":10090,"operation_count":7,"complexity_ratio":1441.4285714285713,"tree":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":2084,"base":7},"right_expr":{"type":"numeric_atoms","value":1037,"base":7}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":2032,"base":7},"right_expr":{"type":"numeric_atoms","value":6885,"base":7}}},"right_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1122,"base":7},"right_expr":{"type":"numeric_atoms","value":1044,"base":7}}}}},"used_operators":["PxpmPgHHJV","kn8WO9XteQ","FyVja0WsTP","9Isq31Ruls","SxTAKzQCrw","Z5CJsN7DuW","LRNGc0VcxI"],"dependent_operators":["23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","X99M06cbEe"],"result":"≴∭⊉-3032","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2084","layer":4},{"info":"number node, value=1037","layer":4},{"info":"compute binary expreesion, left_input=2084, right_input=1037, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"number node, value=2032","layer":4},{"info":"number node, value=6885","layer":4},{"info":"compute binary expreesion, left_input=2032, right_input=6885, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=36262","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=36262, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=204","layer":2},{"info":"number node, value=1122","layer":4},{"info":"number node, value=1044","layer":4},{"info":"compute binary expreesion, left_input=1122, right_input=1044, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=204, right_input=0, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-526","layer":1},{"info":"compute unary expreesion, input=-526, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=-1052","layer":0}],"base":7,"result_base":7,"text":"↓⇌((≴∭⊉6035∌↝≴∭⊉3011)⊱⇼⊻(≴∭⊉5632∙⊟≴∭⊉26034)⨭⪣(↨⩢⫨(≴∭⊉3162∀⇚≩≴∭⊉3021)))=≴∭⊉-3032","reverse_text":"≴∭⊉-3032=↓⇌((≴∭⊉6035∌↝≴∭⊉3011)⊱⇼⊻(≴∭⊉5632∙⊟≴∭⊉26034)⨭⪣(↨⩢⫨(≴∭⊉3162∀⇚≩≴∭⊉3021)))","cot":[{"info":"≴∭⊉6035∌↝≴∭⊉3011=≴∭⊉0","layer":3},{"info":"≴∭⊉5632∙⊟≴∭⊉26034=≴∭⊉210502","layer":3},{"info":"≴∭⊉0⊱⇼⊻≴∭⊉210502=≴∭⊉411","layer":2},{"info":"≴∭⊉3162∀⇚≩≴∭⊉3021=NaN","layer":3},{"info":"↨⩢⫨NaN=≴∭⊉0","layer":2},{"info":"≴∭⊉411⨭⪣≴∭⊉0=≴∭⊉-1351","layer":1},{"info":"↓⇌≴∭⊉-1351=≴∭⊉-3032","layer":0}]}
+{"id":143,"expression_no_base_symbol":"⨣⨃⇪(⪹$1037$⪥$2015$∛(⫟$2079$))","expression":"⨣⨃⇪(⪹≴∭⊉3011⪥≴∭⊉5606∛(⫟≴∭⊉6030))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":125,"operation_count":5,"complexity_ratio":25.0,"tree":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":1037,"base":7},"right_expr":{"type":"numeric_atoms","value":2015,"base":7}},"right_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"numeric_atoms","value":2079,"base":7}}}}},"used_operators":["AcOhelriW5","USyYr0JgAa","w2537kitQq","QbnwKVWMIQ","z4E1FaHLuy"],"dependent_operators":["s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","tifHPKVTfV","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q"],"result":"≴∭⊉4045","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1037","layer":4},{"info":"number node, value=2015","layer":4},{"info":"compute binary expreesion, left_input=1037, right_input=2015, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=8800","layer":3},{"info":"number node, value=2079","layer":4},{"info":"compute unary expreesion, input=2079, op_id = z4E1FaHLuy, unary_op_definition = '⫟a = { (((-a)⪨≂(a⨸⪁a))≧⫂∧((a⩷∴a)⨰(a⫡⨏a))) , if (a⫌⩹⨱)>=11 ; (((a+263)⋝⋈⪟(a⨳⩥⨓a))⪒((a⋥≓≎a)⫩⊇)) , else }', output=-5330","layer":3},{"info":"compute binary expreesion, left_input=8800, right_input=-5330, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":2},{"info":"compute unary expreesion, input=67, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=113","layer":1},{"info":"compute unary expreesion, input=113, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":0}],"base":7,"result_base":7,"text":"⨣⨃⇪(⪹≴∭⊉3011⪥≴∭⊉5606∛(⫟≴∭⊉6030))=≴∭⊉4045","reverse_text":"≴∭⊉4045=⨣⨃⇪(⪹≴∭⊉3011⪥≴∭⊉5606∛(⫟≴∭⊉6030))","cot":[{"info":"≴∭⊉3011⪥≴∭⊉5606=≴∭⊉34441","layer":3},{"info":"⫟≴∭⊉6030=≴∭⊉-21353","layer":3},{"info":"≴∭⊉34441∛≴∭⊉-21353=≴∭⊉124","layer":2},{"info":"⪹≴∭⊉124=≴∭⊉221","layer":1},{"info":"⨣⨃⇪≴∭⊉221=≴∭⊉4045","layer":0}]}
+{"id":144,"expression_no_base_symbol":"⇙⪊(+⊝⨔$2104$⊉↱≁$1283$)⫞⩸⩒($1178$⩚⊴⇥$2799$)≁↽≥($2473$⇩)","expression":"⇙⪊(+⊝⨔≴∭⊉6064⊉↱≁≴∭⊉3512)⫞⩸⩒(≴∭⊉3302⩚⊴⇥≴∭⊉11106)≁↽≥(≴∭⊉10132⇩)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":98,"operation_count":7,"complexity_ratio":14.0,"tree":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":2104,"base":7},"right_expr":{"type":"numeric_atoms","value":1283,"base":7}}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1178,"base":7},"right_expr":{"type":"numeric_atoms","value":2799,"base":7}},"right_expr":{"type":"unary","operator":"⇩","unary_expr":{"type":"numeric_atoms","value":2473,"base":7}}}}},"used_operators":["pB6Fcnrjim","XGcMNugi78","DhbWaqg5eL","w2P8NbNXyL","ncHt1X6cMc","NTOWxs364D","vRio1gEz1j"],"dependent_operators":["DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","oWn0xqSxBt","3Oe9XWJUTD","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2104","layer":4},{"info":"number node, value=1283","layer":4},{"info":"compute binary expreesion, left_input=2104, right_input=1283, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=13290","layer":3},{"info":"compute unary expreesion, input=13290, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":2},{"info":"number node, value=1178","layer":4},{"info":"number node, value=2799","layer":4},{"info":"compute binary expreesion, left_input=1178, right_input=2799, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4098","layer":3},{"info":"number node, value=2473","layer":4},{"info":"compute unary expreesion, input=2473, op_id = vRio1gEz1j, unary_op_definition = 'a⇩ = { (a+93) }', output=2566","layer":3},{"info":"compute binary expreesion, left_input=-4098, right_input=2566, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=-51538","layer":2},{"info":"compute binary expreesion, left_input=1522, right_input=-51538, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=1522","layer":1},{"info":"compute unary expreesion, input=1522, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":0}],"base":7,"result_base":7,"text":"⇙⪊(+⊝⨔≴∭⊉6064⊉↱≁≴∭⊉3512)⫞⩸⩒(≴∭⊉3302⩚⊴⇥≴∭⊉11106)≁↽≥(≴∭⊉10132⇩)=≴∭⊉0","reverse_text":"≴∭⊉0=⇙⪊(+⊝⨔≴∭⊉6064⊉↱≁≴∭⊉3512)⫞⩸⩒(≴∭⊉3302⩚⊴⇥≴∭⊉11106)≁↽≥(≴∭⊉10132⇩)","cot":[{"info":"≴∭⊉6064⊉↱≁≴∭⊉3512=≴∭⊉53514","layer":3},{"info":"+⊝⨔≴∭⊉53514=≴∭⊉4303","layer":2},{"info":"≴∭⊉3302⩚⊴⇥≴∭⊉11106=≴∭⊉-14643","layer":3},{"info":"≴∭⊉10132⇩=≴∭⊉10324","layer":3},{"info":"≴∭⊉-14643≁↽≥≴∭⊉10324=≴∭⊉-303154","layer":2},{"info":"≴∭⊉4303⫞⩸⩒≴∭⊉-303154=≴∭⊉4303","layer":1},{"info":"⇙⪊≴∭⊉4303=≴∭⊉0","layer":0}]}
+{"id":145,"expression_no_base_symbol":"($2370$∠⫱$3335$)≁↽≥($3470$≃$1026$)⪝($8111$⩣⫁∢$1286$)⇡⇂(⨑⩽⪐$2419$)∑⇟⊟($3851$⪨⊡$7864$)≎⪠($7066$⫡⨏$3551$)⩍⋽⫝̸($1690$∝$1446$)⩼⇪↪(∂$1749$)","expression":"(≴∭⊉6624∠⫱≴∭⊉12503)≁↽≥(≴∭⊉13055≃≴∭⊉2664)⪝(≴∭⊉32435⩣⫁∢≴∭⊉3515)⇡⇂(⨑⩽⪐≴∭⊉10024)∑⇟⊟(≴∭⊉14141⪨⊡≴∭⊉31633)≎⪠(≴∭⊉26413⫡⨏≴∭⊉13232)⩍⋽⫝̸(≴∭⊉4633∝≴∭⊉4134)⩼⇪↪(∂≴∭⊉5046)","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":51192,"operation_count":15,"complexity_ratio":3412.8,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":2370,"base":7},"right_expr":{"type":"numeric_atoms","value":3335,"base":7}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":3470,"base":7},"right_expr":{"type":"numeric_atoms","value":1026,"base":7}}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":8111,"base":7},"right_expr":{"type":"numeric_atoms","value":1286,"base":7}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":2419,"base":7}}}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":3851,"base":7},"right_expr":{"type":"numeric_atoms","value":7864,"base":7}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":7066,"base":7},"right_expr":{"type":"numeric_atoms","value":3551,"base":7}}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":1690,"base":7},"right_expr":{"type":"numeric_atoms","value":1446,"base":7}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1749,"base":7}}}}},"used_operators":["U7g4x0WXJJ","wicAB68Tmb","ncHt1X6cMc","QvoQhV0rrE","YbVcJGFEVW","UMwdvZNt44","JDUIKTTSIa","AF7qkfDlqP","BiWNJpBvwn","aNhz54LH3e","kuIXHzHcAH","QMFrweE19q","ocnLzx9CaJ","cTDWOvIxvz","Uaa54Peajs"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","oWn0xqSxBt","3Oe9XWJUTD","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","Ph9nP6C5qx","xUOZtlo3hN","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","7j4O788W3g","W4YGzv6Whe","COABgblf1C","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2370","layer":4},{"info":"number node, value=3335","layer":4},{"info":"compute binary expreesion, left_input=2370, right_input=3335, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"number node, value=3470","layer":4},{"info":"number node, value=1026","layer":4},{"info":"compute binary expreesion, left_input=3470, right_input=1026, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-13920","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=-13920, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=196","layer":2},{"info":"number node, value=8111","layer":4},{"info":"number node, value=1286","layer":4},{"info":"compute binary expreesion, left_input=8111, right_input=1286, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-16061","layer":3},{"info":"number node, value=2419","layer":4},{"info":"compute unary expreesion, input=2419, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-2146","layer":3},{"info":"compute binary expreesion, left_input=-16061, right_input=-2146, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=196, right_input=nan, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=nan","layer":1},{"info":"number node, value=3851","layer":4},{"info":"number node, value=7864","layer":4},{"info":"compute binary expreesion, left_input=3851, right_input=7864, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=7066","layer":4},{"info":"number node, value=3551","layer":4},{"info":"compute binary expreesion, left_input=7066, right_input=3551, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=43215","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=43215, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":2},{"info":"number node, value=1690","layer":4},{"info":"number node, value=1446","layer":4},{"info":"compute binary expreesion, left_input=1690, right_input=1446, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=1695","layer":3},{"info":"number node, value=1749","layer":4},{"info":"compute unary expreesion, input=1749, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1695, right_input=nan, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=19558, right_input=nan, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉6624∠⫱≴∭⊉12503)≁↽≥(≴∭⊉13055≃≴∭⊉2664)⪝(≴∭⊉32435⩣⫁∢≴∭⊉3515)⇡⇂(⨑⩽⪐≴∭⊉10024)∑⇟⊟(≴∭⊉14141⪨⊡≴∭⊉31633)≎⪠(≴∭⊉26413⫡⨏≴∭⊉13232)⩍⋽⫝̸(≴∭⊉4633∝≴∭⊉4134)⩼⇪↪(∂≴∭⊉5046)=NaN","reverse_text":"NaN=(≴∭⊉6624∠⫱≴∭⊉12503)≁↽≥(≴∭⊉13055≃≴∭⊉2664)⪝(≴∭⊉32435⩣⫁∢≴∭⊉3515)⇡⇂(⨑⩽⪐≴∭⊉10024)∑⇟⊟(≴∭⊉14141⪨⊡≴∭⊉31633)≎⪠(≴∭⊉26413⫡⨏≴∭⊉13232)⩍⋽⫝̸(≴∭⊉4633∝≴∭⊉4134)⩼⇪↪(∂≴∭⊉5046)","cot":[{"info":"≴∭⊉6624∠⫱≴∭⊉12503=≴∭⊉3412","layer":3},{"info":"≴∭⊉13055≃≴∭⊉2664=≴∭⊉-55404","layer":3},{"info":"≴∭⊉3412≁↽≥≴∭⊉-55404=≴∭⊉400","layer":2},{"info":"≴∭⊉32435⩣⫁∢≴∭⊉3515=≴∭⊉-64553","layer":3},{"info":"⨑⩽⪐≴∭⊉10024=≴∭⊉-6154","layer":3},{"info":"≴∭⊉-64553⇡⇂≴∭⊉-6154=NaN","layer":2},{"info":"≴∭⊉400⪝NaN=NaN","layer":1},{"info":"≴∭⊉14141⪨⊡≴∭⊉31633=≴∭⊉0","layer":3},{"info":"≴∭⊉26413⫡⨏≴∭⊉13232=≴∭⊉236664","layer":3},{"info":"≴∭⊉0≎⪠≴∭⊉236664=≴∭⊉111010","layer":2},{"info":"≴∭⊉4633∝≴∭⊉4134=≴∭⊉4641","layer":3},{"info":"∂≴∭⊉5046=NaN","layer":3},{"info":"≴∭⊉4641⩼⇪↪NaN=NaN","layer":2},{"info":"≴∭⊉111010⩍⋽⫝̸NaN=NaN","layer":1},{"info":"NaN∑⇟⊟NaN=NaN","layer":0}]}
+{"id":146,"expression_no_base_symbol":"⇘(($1325$⇣⩺⋵$3276$≧⫂∧($4090$⫌⩉⩟$5768$))∌↝($6919$⨽$4612$)⨜⨶$2203$⊕∕$3257$)","expression":"⇘((≴∭⊉3602⇣⩺⋵≴∭⊉12360≧⫂∧(≴∭⊉14632⫌⩉⩟≴∭⊉22550))∌↝(≴∭⊉26113⨽≴∭⊉16306)⨜⨶≴∭⊉6265⊕∕≴∭⊉12332)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":41684,"operation_count":8,"complexity_ratio":5210.5,"tree":{"type":"unary","operator":"⇘","unary_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":1325,"base":7},"right_expr":{"type":"numeric_atoms","value":3276,"base":7}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":4090,"base":7},"right_expr":{"type":"numeric_atoms","value":5768,"base":7}}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":6919,"base":7},"right_expr":{"type":"numeric_atoms","value":4612,"base":7}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":2203,"base":7},"right_expr":{"type":"numeric_atoms","value":3257,"base":7}}}}},"used_operators":["MGuIdZPyUC","9Isq31Ruls","Ph9nP6C5qx","F4yD0voBRQ","XIIwhv8d0m","HiPekx5b7W","8HhzD0ZcuI","9cloC0Ngie"],"dependent_operators":["eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","rysDP5nf3Z","t8gj7n24qd","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf"],"result":"≴∭⊉-631121360","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1325","layer":4},{"info":"number node, value=3276","layer":4},{"info":"compute binary expreesion, left_input=1325, right_input=3276, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-1190","layer":3},{"info":"number node, value=4090","layer":4},{"info":"number node, value=5768","layer":4},{"info":"compute binary expreesion, left_input=4090, right_input=5768, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute binary expreesion, left_input=-1190, right_input=-50, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-523","layer":2},{"info":"number node, value=6919","layer":4},{"info":"number node, value=4612","layer":4},{"info":"compute binary expreesion, left_input=6919, right_input=4612, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-143630205","layer":3},{"info":"number node, value=2203","layer":4},{"info":"number node, value=3257","layer":4},{"info":"compute binary expreesion, left_input=2203, right_input=3257, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=2203","layer":3},{"info":"compute binary expreesion, left_input=-143630205, right_input=2203, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-4150","layer":2},{"info":"compute binary expreesion, left_input=-523, right_input=-4150, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=-1046","layer":1},{"info":"compute unary expreesion, input=-1046, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=-37199225","layer":0}],"base":7,"result_base":7,"text":"⇘((≴∭⊉3602⇣⩺⋵≴∭⊉12360≧⫂∧(≴∭⊉14632⫌⩉⩟≴∭⊉22550))∌↝(≴∭⊉26113⨽≴∭⊉16306)⨜⨶≴∭⊉6265⊕∕≴∭⊉12332)=≴∭⊉-631121360","reverse_text":"≴∭⊉-631121360=⇘((≴∭⊉3602⇣⩺⋵≴∭⊉12360≧⫂∧(≴∭⊉14632⫌⩉⩟≴∭⊉22550))∌↝(≴∭⊉26113⨽≴∭⊉16306)⨜⨶≴∭⊉6265⊕∕≴∭⊉12332)","cot":[{"info":"≴∭⊉3602⇣⩺⋵≴∭⊉12360=≴∭⊉-3320","layer":3},{"info":"≴∭⊉14632⫌⩉⩟≴∭⊉22550=≴∭⊉-101","layer":3},{"info":"≴∭⊉-3320≧⫂∧≴∭⊉-101=≴∭⊉-1345","layer":2},{"info":"≴∭⊉26113⨽≴∭⊉16306=≴∭⊉-3362556645","layer":3},{"info":"≴∭⊉6265⊕∕≴∭⊉12332=≴∭⊉6265","layer":3},{"info":"≴∭⊉-3362556645⨜⨶≴∭⊉6265=≴∭⊉-15046","layer":2},{"info":"≴∭⊉-1345∌↝≴∭⊉-15046=≴∭⊉-3023","layer":1},{"info":"⇘≴∭⊉-3023=≴∭⊉-631121360","layer":0}]}
+{"id":147,"expression_no_base_symbol":"((⪡⇡≛$4079$)↺$3769$���⪬∳$3820$)∠↢(↑($2301$∀⊥⇻))⫌⩉⩟(⊽(($6484$⪄$1025$)⫰⋱$4392$⫁⪎$1610$))","expression":"((⪡⇡≛≴∭⊉14615)↺≴∭⊉13663⫯⪬∳≴∭⊉14065)∠↢(↑(≴∭⊉6465∀⊥⇻))⫌⩉⩟(⊽((≴∭⊉24622⪄≴∭⊉2663)⫰⋱≴∭⊉15543⫁⪎≴∭⊉4460))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":3842345,"operation_count":11,"complexity_ratio":349304.0909090909,"tree":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"numeric_atoms","value":4079,"base":7}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":3769,"base":7},"right_expr":{"type":"numeric_atoms","value":3820,"base":7}}},"right_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"unary","operator":"∀⊥⇻","unary_expr":{"type":"numeric_atoms","value":2301,"base":7}}}},"right_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":6484,"base":7},"right_expr":{"type":"numeric_atoms","value":1025,"base":7}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":4392,"base":7},"right_expr":{"type":"numeric_atoms","value":1610,"base":7}}}}},"used_operators":["XIIwhv8d0m","KbjG8mgYpV","7j4O788W3g","qL4PrbW1Dq","d7ASUq0ydm","tR7O2zTn5j","k4iM1060OG","QxG7OkqoLX","6o9Blt3TJ6","SUmda5xLS4","xRrnTEsQ6j"],"dependent_operators":["B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","QvoQhV0rrE","XhwjNDsVaA","3Oe9XWJUTD","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI"],"result":"≴∭⊉-101","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4079","layer":4},{"info":"compute unary expreesion, input=4079, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-4079","layer":3},{"info":"number node, value=3769","layer":4},{"info":"number node, value=3820","layer":4},{"info":"compute binary expreesion, left_input=3769, right_input=3820, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=15058","layer":3},{"info":"compute binary expreesion, left_input=-4079, right_input=15058, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=15058","layer":2},{"info":"number node, value=2301","layer":4},{"info":"compute unary expreesion, input=2301, op_id = k4iM1060OG, unary_op_definition = 'a∀⊥⇻ = { ((a∠⫱a)/(a⊝⪿⪼a)) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=15058, right_input=nan, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=nan","layer":1},{"info":"number node, value=6484","layer":4},{"info":"number node, value=1025","layer":4},{"info":"compute binary expreesion, left_input=6484, right_input=1025, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-959821","layer":3},{"info":"number node, value=4392","layer":4},{"info":"number node, value=1610","layer":4},{"info":"compute binary expreesion, left_input=4392, right_input=1610, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=2782","layer":3},{"info":"compute binary expreesion, left_input=-959821, right_input=2782, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=959854","layer":2},{"info":"compute unary expreesion, input=959854, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=1921230","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1921230, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":0}],"base":7,"result_base":7,"text":"((⪡⇡≛≴∭⊉14615)↺≴∭⊉13663⫯⪬∳≴∭⊉14065)∠↢(↑(≴∭⊉6465∀⊥⇻))⫌⩉⩟(⊽((≴∭⊉24622⪄≴∭⊉2663)⫰⋱≴∭⊉15543⫁⪎≴∭⊉4460))=≴∭⊉-101","reverse_text":"≴∭⊉-101=((⪡⇡≛≴∭⊉14615)↺≴∭⊉13663⫯⪬∳≴∭⊉14065)∠↢(↑(≴∭⊉6465∀⊥⇻))⫌⩉⩟(⊽((≴∭⊉24622⪄≴∭⊉2663)⫰⋱≴∭⊉15543⫁⪎≴∭⊉4460))","cot":[{"info":"⪡⇡≛≴∭⊉14615=≴∭⊉-14615","layer":3},{"info":"≴∭⊉13663⫯⪬∳≴∭⊉14065=≴∭⊉61621","layer":3},{"info":"≴∭⊉-14615↺≴∭⊉61621=≴∭⊉61621","layer":2},{"info":"≴∭⊉6465∀⊥⇻=≴∭⊉0","layer":3},{"info":"↑≴∭⊉0=NaN","layer":2},{"info":"≴∭⊉61621∠↢NaN=NaN","layer":1},{"info":"≴∭⊉24622⪄≴∭⊉2663=≴∭⊉-11105212","layer":3},{"info":"≴∭⊉15543⫁⪎≴∭⊉4460=≴∭⊉11053","layer":3},{"info":"≴∭⊉-11105212⫰⋱≴∭⊉11053=≴∭⊉11105260","layer":2},{"info":"⊽≴∭⊉11105260=≴∭⊉22221153","layer":1},{"info":"NaN⫌⩉⩟≴∭⊉22221153=≴∭⊉-101","layer":0}]}
+{"id":148,"expression_no_base_symbol":"(($6378$⊜)≥⨤⩑$1054$⩘$5156$⩎⪣⊞)⇟⨁⪰","expression":"((≴∭⊉24411⊜)≥⨤⩑≴∭⊉3034⩘≴∭⊉21014⩎⪣⊞)⇟⨁⪰","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":17402,"operation_count":5,"complexity_ratio":3480.4,"tree":{"type":"unary","operator":"⇟⨁⪰","unary_expr":{"type":"unary","operator":"⩎⪣⊞","unary_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"unary","operator":"⊜","unary_expr":{"type":"numeric_atoms","value":6378,"base":7}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":1054,"base":7},"right_expr":{"type":"numeric_atoms","value":5156,"base":7}}}}},"used_operators":["BX1lVwlMe0","waWucp1uQ4","gJLn6v0xnP","Eev2Q7dYIw","cHh1gJQ2o6"],"dependent_operators":["2DDjHMKMc0","xUOZtlo3hN","mp7IySMOzn","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","g55IO6H4Gj","D4vGDi5EA2","P8v4zCKN1o","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o"],"result":"≴∭⊉-10463","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6378","layer":4},{"info":"compute unary expreesion, input=6378, op_id = Eev2Q7dYIw, unary_op_definition = 'a⊜ = { ((a≦≮≮)⨸⪁(∥⊫a)) }', output=-23776","layer":3},{"info":"number node, value=1054","layer":4},{"info":"number node, value=5156","layer":4},{"info":"compute binary expreesion, left_input=1054, right_input=5156, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-23776, right_input=160, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":2},{"info":"compute unary expreesion, input=1234, op_id = waWucp1uQ4, unary_op_definition = 'a⩎⪣⊞ = { (a⇷a) }', output=2468","layer":1},{"info":"compute unary expreesion, input=2468, op_id = BX1lVwlMe0, unary_op_definition = 'a⇟⨁⪰ = { (⨞⊢(a⋝⋈⪟a)) }', output=-2642","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉24411⊜)≥⨤⩑≴∭⊉3034⩘≴∭⊉21014⩎⪣⊞)⇟⨁⪰=≴∭⊉-10463","reverse_text":"≴∭⊉-10463=((≴∭⊉24411⊜)≥⨤⩑≴∭⊉3034⩘≴∭⊉21014⩎⪣⊞)⇟⨁⪰","cot":[{"info":"≴∭⊉24411⊜=≴∭⊉-126214","layer":3},{"info":"≴∭⊉3034⩘≴∭⊉21014=≴∭⊉316","layer":3},{"info":"≴∭⊉-126214≥⨤⩑≴∭⊉316=≴∭⊉3412","layer":2},{"info":"≴∭⊉3412⩎⪣⊞=≴∭⊉10124","layer":1},{"info":"≴∭⊉10124⇟⨁⪰=≴∭⊉-10463","layer":0}]}
+{"id":149,"expression_no_base_symbol":"(($2092$⫚↹⊑$3332$)⫦⪉$3107$≹⇙⪍$5983$)⇴($2973$↼⊘⨖$3471$)∳⫺(⨦⪝$1399$)⫦⪉(($2549$⪄$8539$)↬(≸$2847$)%($1051$⨚$5633$)⊢$2203$⪟⇏$2066$)","expression":"((≴∭⊉6046⫚↹⊑≴∭⊉12500)⫦⪉≴∭⊉12026≹⇙⪍≴∭⊉23305)⇴(≴∭⊉11445↼⊘⨖≴∭⊉13056)∳⫺(⨦⪝≴∭⊉4036)⫦⪉((≴∭⊉10301⪄≴∭⊉33616)↬(≸≴∭⊉11205)%(≴∭⊉3031⨚≴∭⊉22265)⊢≴∭⊉6265⪟⇏≴∭⊉6011)","highest_n_order":5,"priority_hierarchical_complexity":14,"normalized_expansion_degree":394,"operation_count":15,"complexity_ratio":26.266666666666666,"tree":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":2092,"base":7},"right_expr":{"type":"numeric_atoms","value":3332,"base":7}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":3107,"base":7},"right_expr":{"type":"numeric_atoms","value":5983,"base":7}}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":2973,"base":7},"right_expr":{"type":"numeric_atoms","value":3471,"base":7}},"right_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"numeric_atoms","value":1399,"base":7}}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2549,"base":7},"right_expr":{"type":"numeric_atoms","value":8539,"base":7}},"right_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"numeric_atoms","value":2847,"base":7}}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":1051,"base":7},"right_expr":{"type":"numeric_atoms","value":5633,"base":7}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":2203,"base":7},"right_expr":{"type":"numeric_atoms","value":2066,"base":7}}}}},"used_operators":["wscyQdcy20","4JB6nKBMSY","dfKe02y8D2","AHs5Up7iyr","AzXXKTstlj","bPywburJMS","SUjycxNXIR","k8jYdgA6NY","B5M0gjZbta","SUmda5xLS4","eOf03JbCpp","5twsqlHp2o","nREPSIbpBE","GODebY97qR"],"dependent_operators":["W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","sdazOOVcIp","NTOWxs364D","COABgblf1C","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","dWAJyo7jo9","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","rysDP5nf3Z","rGHVDoGpnC","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","BjRHVeLaeN","12rbrZMWeM","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X"],"result":"≴∭⊉-265661","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2092","layer":4},{"info":"number node, value=3332","layer":4},{"info":"compute binary expreesion, left_input=2092, right_input=3332, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"number node, value=3107","layer":4},{"info":"number node, value=5983","layer":4},{"info":"compute binary expreesion, left_input=3107, right_input=5983, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=nan, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=4732","layer":2},{"info":"number node, value=2973","layer":4},{"info":"number node, value=3471","layer":4},{"info":"compute binary expreesion, left_input=2973, right_input=3471, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=6720","layer":3},{"info":"number node, value=1399","layer":4},{"info":"compute unary expreesion, input=1399, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":3},{"info":"compute binary expreesion, left_input=6720, right_input=-1884, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":2},{"info":"compute binary expreesion, left_input=4732, right_input=-260, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=27486","layer":1},{"info":"number node, value=2549","layer":4},{"info":"number node, value=8539","layer":4},{"info":"compute binary expreesion, left_input=2549, right_input=8539, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-407497","layer":3},{"info":"number node, value=2847","layer":4},{"info":"compute unary expreesion, input=2847, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=58","layer":3},{"info":"compute binary expreesion, left_input=-407497, right_input=58, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=1051","layer":4},{"info":"number node, value=5633","layer":4},{"info":"compute binary expreesion, left_input=1051, right_input=5633, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-19496","layer":3},{"info":"number node, value=2203","layer":4},{"info":"number node, value=2066","layer":4},{"info":"compute binary expreesion, left_input=2203, right_input=2066, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=-19496, right_input=-1, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=38748","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=38748, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=27486, right_input=nan, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-50072","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉6046⫚↹⊑≴∭⊉12500)⫦⪉≴∭⊉12026≹⇙⪍≴∭⊉23305)⇴(≴∭⊉11445↼⊘⨖≴∭⊉13056)∳⫺(⨦⪝≴∭⊉4036)⫦⪉((≴∭⊉10301⪄≴∭⊉33616)↬(≸≴∭⊉11205)%(≴∭⊉3031⨚≴∭⊉22265)⊢≴∭⊉6265⪟⇏≴∭⊉6011)=≴∭⊉-265661","reverse_text":"≴∭⊉-265661=((≴∭⊉6046⫚↹⊑≴∭⊉12500)⫦⪉≴∭⊉12026≹⇙⪍≴∭⊉23305)⇴(≴∭⊉11445↼⊘⨖≴∭⊉13056)∳⫺(⨦⪝≴∭⊉4036)⫦⪉((≴∭⊉10301⪄≴∭⊉33616)↬(≸≴∭⊉11205)%(≴∭⊉3031⨚≴∭⊉22265)⊢≴∭⊉6265⪟⇏≴∭⊉6011)","cot":[{"info":"≴∭⊉6046⫚↹⊑≴∭⊉12500=≴∭⊉-1206","layer":3},{"info":"≴∭⊉12026≹⇙⪍≴∭⊉23305=NaN","layer":3},{"info":"≴∭⊉-1206⫦⪉NaN=≴∭⊉16540","layer":2},{"info":"≴∭⊉11445↼⊘⨖≴∭⊉13056=≴∭⊉25410","layer":3},{"info":"⨦⪝≴∭⊉4036=≴∭⊉-5331","layer":3},{"info":"≴∭⊉25410∳⫺≴∭⊉-5331=≴∭⊉-521","layer":2},{"info":"≴∭⊉16540⇴≴∭⊉-521=≴∭⊉143064","layer":1},{"info":"≴∭⊉10301⪄≴∭⊉33616=≴∭⊉-3315016","layer":3},{"info":"≸≴∭⊉11205=≴∭⊉112","layer":3},{"info":"≴∭⊉-3315016↬≴∭⊉112=NaN","layer":2},{"info":"≴∭⊉3031⨚≴∭⊉22265=≴∭⊉-110561","layer":3},{"info":"≴∭⊉6265⪟⇏≴∭⊉6011=≴∭⊉-1","layer":3},{"info":"≴∭⊉-110561⊢≴∭⊉-1=≴∭⊉220653","layer":2},{"info":"NaN%≴∭⊉220653=NaN","layer":1},{"info":"≴∭⊉143064⫦⪉NaN=≴∭⊉-265661","layer":0}]}
+{"id":150,"expression_no_base_symbol":"($3206$⊴$1116$∙⊟$3204$⋓$3109$)⋅⇍$2376$⪘⫢$1002$⨔≚≋$1345$⪔$5048$⨵⪆(⨮↦↱(($1001$%$1386$)⪄$2658$⋥⋵⩄$1170$))","expression":"(≴∭⊉12230⊴≴∭⊉3153∙⊟≴∭⊉12225⋓≴∭⊉12031)⋅⇍≴∭⊉6633⪘⫢≴∭⊉2631⨔≚≋≴∭⊉3631⪔≴∭⊉20501⨵⪆(⨮↦↱((≴∭⊉2630%≴∭⊉4020)⪄≴∭⊉10515⋥⋵⩄≴∭⊉3261))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":9149,"operation_count":12,"complexity_ratio":762.4166666666666,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3206,"base":7},"right_expr":{"type":"numeric_atoms","value":1116,"base":7}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3204,"base":7},"right_expr":{"type":"numeric_atoms","value":3109,"base":7}}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2376,"base":7},"right_expr":{"type":"numeric_atoms","value":1002,"base":7}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":1345,"base":7},"right_expr":{"type":"numeric_atoms","value":5048,"base":7}}}},"right_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1001,"base":7},"right_expr":{"type":"numeric_atoms","value":1386,"base":7}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":2658,"base":7},"right_expr":{"type":"numeric_atoms","value":1170,"base":7}}}}},"used_operators":["2DQ55sFlQl","AdZkA7nFnk","SxTAKzQCrw","Nsiff2A1zJ","T2fj7uvVaJ","Z57zeUYC9z","oacrs7FA3X","GjBEYRfMaF","sYcpBQ0cFf","SUmda5xLS4","k8jYdgA6NY","7t3wd0Fuz7"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","dWAJyo7jo9","14qkJME0vr","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T"],"result":"≴∭⊉316","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3206","layer":4},{"info":"number node, value=1116","layer":4},{"info":"compute binary expreesion, left_input=3206, right_input=1116, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=3204","layer":4},{"info":"number node, value=3109","layer":4},{"info":"compute binary expreesion, left_input=3204, right_input=3109, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=nan","layer":2},{"info":"number node, value=2376","layer":4},{"info":"number node, value=1002","layer":4},{"info":"compute binary expreesion, left_input=2376, right_input=1002, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=4628","layer":3},{"info":"number node, value=1345","layer":4},{"info":"number node, value=5048","layer":4},{"info":"compute binary expreesion, left_input=1345, right_input=5048, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"compute binary expreesion, left_input=4628, right_input=450, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=9872, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":1},{"info":"number node, value=1001","layer":4},{"info":"number node, value=1386","layer":4},{"info":"compute binary expreesion, left_input=1001, right_input=1386, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1001","layer":3},{"info":"number node, value=2658","layer":4},{"info":"number node, value=1170","layer":4},{"info":"compute binary expreesion, left_input=2658, right_input=1170, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=1001, right_input=113, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-144689","layer":2},{"info":"compute unary expreesion, input=-144689, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=2158797","layer":1},{"info":"compute binary expreesion, left_input=-22, right_input=2158797, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉12230⊴≴∭⊉3153∙⊟≴∭⊉12225⋓≴∭⊉12031)⋅⇍≴∭⊉6633⪘⫢≴∭⊉2631⨔≚≋≴∭⊉3631⪔≴∭⊉20501⨵⪆(⨮↦↱((≴∭⊉2630%≴∭⊉4020)⪄≴∭⊉10515⋥⋵⩄≴∭⊉3261))=≴∭⊉316","reverse_text":"≴∭⊉316=(≴∭⊉12230⊴≴∭⊉3153∙⊟≴∭⊉12225⋓≴∭⊉12031)⋅⇍≴∭⊉6633⪘⫢≴∭⊉2631⨔≚≋≴∭⊉3631⪔≴∭⊉20501⨵⪆(⨮↦↱((≴∭⊉2630%≴∭⊉4020)⪄≴∭⊉10515⋥⋵⩄≴∭⊉3261))","cot":[{"info":"≴∭⊉12230⊴≴∭⊉3153=NaN","layer":3},{"info":"≴∭⊉12225⋓≴∭⊉12031=≴∭⊉0","layer":3},{"info":"NaN∙⊟≴∭⊉0=NaN","layer":2},{"info":"≴∭⊉6633⪘⫢≴∭⊉2631=≴∭⊉16331","layer":3},{"info":"≴∭⊉3631⪔≴∭⊉20501=≴∭⊉1212","layer":3},{"info":"≴∭⊉16331⨔≚≋≴∭⊉1212=≴∭⊉40532","layer":2},{"info":"NaN⋅⇍≴∭⊉40532=≴∭⊉-31","layer":1},{"info":"≴∭⊉2630%≴∭⊉4020=≴∭⊉2630","layer":3},{"info":"≴∭⊉10515⋥⋵⩄≴∭⊉3261=≴∭⊉221","layer":3},{"info":"≴∭⊉2630⪄≴∭⊉221=≴∭⊉-1141556","layer":2},{"info":"⨮↦↱≴∭⊉-1141556=≴∭⊉24230604","layer":1},{"info":"≴∭⊉-31⨵⪆≴∭⊉24230604=≴∭⊉316","layer":0}]}
+{"id":151,"expression_no_base_symbol":"⨛(($4214$∠⫱$5345$)⪛$1336$↓$1292$)⋛(↑($3465$↬$2454$))","expression":"⨛((≴∭⊉15200∠⫱≴∭⊉21404)⪛≴∭⊉3616↓≴∭⊉3524)⋛(↑(≴∭⊉13050↬≴∭⊉10104))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":18560,"operation_count":7,"complexity_ratio":2651.4285714285716,"tree":{"type":"unary","operator":"⨛","unary_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":4214,"base":7},"right_expr":{"type":"numeric_atoms","value":5345,"base":7}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":1336,"base":7},"right_expr":{"type":"numeric_atoms","value":1292,"base":7}}},"right_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":3465,"base":7},"right_expr":{"type":"numeric_atoms","value":2454,"base":7}}}}},"used_operators":["CoMdbyAt7R","YbUVn0Rbpy","uFcxV4UQCh","QvoQhV0rrE","Af076pWI7l","tR7O2zTn5j","B5M0gjZbta"],"dependent_operators":["U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=4214","layer":4},{"info":"number node, value=5345","layer":4},{"info":"compute binary expreesion, left_input=4214, right_input=5345, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"number node, value=1336","layer":4},{"info":"number node, value=1292","layer":4},{"info":"compute binary expreesion, left_input=1336, right_input=1292, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=-134, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-106","layer":2},{"info":"number node, value=3465","layer":4},{"info":"number node, value=2454","layer":4},{"info":"compute binary expreesion, left_input=3465, right_input=2454, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-106, right_input=nan, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"⨛((≴∭⊉15200∠⫱≴∭⊉21404)⪛≴∭⊉3616↓≴∭⊉3524)⋛(↑(≴∭⊉13050↬≴∭⊉10104))=NaN","reverse_text":"NaN=⨛((≴∭⊉15200∠⫱≴∭⊉21404)⪛≴∭⊉3616↓≴∭⊉3524)⋛(↑(≴∭⊉13050↬≴∭⊉10104))","cot":[{"info":"≴∭⊉15200∠⫱≴∭⊉21404=≴∭⊉3412","layer":3},{"info":"≴∭⊉3616↓≴∭⊉3524=≴∭⊉-251","layer":3},{"info":"≴∭⊉3412⪛≴∭⊉-251=≴∭⊉-211","layer":2},{"info":"≴∭⊉13050↬≴∭⊉10104=NaN","layer":3},{"info":"↑NaN=NaN","layer":2},{"info":"≴∭⊉-211⋛NaN=NaN","layer":1},{"info":"⨛NaN=NaN","layer":0}]}
+{"id":152,"expression_no_base_symbol":"⪓⩚(($2841$≓∲$3510$)⪚($5742$⋭≵$1377$))⫁⪎($3831$⩷∴$1197$≬⋮($2440$⊫∞))","expression":"⪓⩚((≴∭⊉11166≓∲≴∭⊉13143)⪚(≴∭⊉22512⋭≵≴∭⊉4005))⫁⪎(≴∭⊉14112⩷∴≴∭⊉3330≬⋮(≴∭⊉10054⊫∞))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":26659,"operation_count":8,"complexity_ratio":3332.375,"tree":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":2841,"base":7},"right_expr":{"type":"numeric_atoms","value":3510,"base":7}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":5742,"base":7},"right_expr":{"type":"numeric_atoms","value":1377,"base":7}}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":3831,"base":7},"right_expr":{"type":"numeric_atoms","value":1197,"base":7}},"right_expr":{"type":"unary","operator":"⊫∞","unary_expr":{"type":"numeric_atoms","value":2440,"base":7}}}}},"used_operators":["u0R0Locfp2","xRrnTEsQ6j","HrjLwUk87U","s1XTVnmDOJ","jBncVCNhdl","kbkesczE7y","9FxExcQeMw","pABnYW3G3E"],"dependent_operators":["6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","rysDP5nf3Z","fu6greOZ01","3sJ7IOPOlU","7YooWSwCyH","ivGwdmUAux"],"result":"≴∭⊉1146","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2841","layer":4},{"info":"number node, value=3510","layer":4},{"info":"compute binary expreesion, left_input=2841, right_input=3510, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=29193","layer":3},{"info":"number node, value=5742","layer":4},{"info":"number node, value=1377","layer":4},{"info":"compute binary expreesion, left_input=5742, right_input=1377, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=29193, right_input=67, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=57896","layer":2},{"info":"number node, value=3831","layer":4},{"info":"number node, value=1197","layer":4},{"info":"compute binary expreesion, left_input=3831, right_input=1197, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=5236","layer":3},{"info":"number node, value=2440","layer":4},{"info":"compute unary expreesion, input=2440, op_id = pABnYW3G3E, unary_op_definition = 'a⊫∞ = { ((a⨐⩸⫘149)⪇≇⋚(a∪⫐a)) , if (⫵↿a)>=80 ; a , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=5236, right_input=0, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":2},{"info":"compute binary expreesion, left_input=57896, right_input=868, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=57028","layer":1},{"info":"compute unary expreesion, input=57028, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":0}],"base":7,"result_base":7,"text":"⪓⩚((≴∭⊉11166≓∲≴∭⊉13143)⪚(≴∭⊉22512⋭≵≴∭⊉4005))⫁⪎(≴∭⊉14112⩷∴≴∭⊉3330≬⋮(≴∭⊉10054⊫∞))=≴∭⊉1146","reverse_text":"≴∭⊉1146=⪓⩚((≴∭⊉11166≓∲≴∭⊉13143)⪚(≴∭⊉22512⋭≵≴∭⊉4005))⫁⪎(≴∭⊉14112⩷∴≴∭⊉3330≬⋮(≴∭⊉10054⊫∞))","cot":[{"info":"≴∭⊉11166≓∲≴∭⊉13143=≴∭⊉151053","layer":3},{"info":"≴∭⊉22512⋭≵≴∭⊉4005=≴∭⊉124","layer":3},{"info":"≴∭⊉151053⪚≴∭⊉124=≴∭⊉330536","layer":2},{"info":"≴∭⊉14112⩷∴≴∭⊉3330=≴∭⊉21160","layer":3},{"info":"≴∭⊉10054⊫∞=≴∭⊉0","layer":3},{"info":"≴∭⊉21160≬⋮≴∭⊉0=≴∭⊉2350","layer":2},{"info":"≴∭⊉330536⫁⪎≴∭⊉2350=≴∭⊉325156","layer":1},{"info":"⪓⩚≴∭⊉325156=≴∭⊉1146","layer":0}]}
+{"id":153,"expression_no_base_symbol":"($1378$⨽∌$1871$⩍⋽⫝̸$2208$↤⩊$1117$+⪬∐(($6016$∴≳≥)⨽$1127$⫥∨⫟$5108$))⊢(⫛⫱⨽(↸⊣($2914$⨪↰⇹$1421$)))","expression":"(≴∭⊉4006⨽∌≴∭⊉5312⩍⋽⫝̸≴∭⊉6303↤⩊≴∭⊉3154+⪬∐((≴∭⊉23353∴≳≥)⨽≴∭⊉3200⫥∨⫟≴∭⊉20615))⊢(⫛⫱⨽(↸⊣(≴∭⊉11332⨪↰⇹≴∭⊉4100)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":28841,"operation_count":11,"complexity_ratio":2621.909090909091,"tree":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":1378,"base":7},"right_expr":{"type":"numeric_atoms","value":1871,"base":7}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":2208,"base":7},"right_expr":{"type":"numeric_atoms","value":1117,"base":7}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"∴≳≥","unary_expr":{"type":"numeric_atoms","value":6016,"base":7}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1127,"base":7},"right_expr":{"type":"numeric_atoms","value":5108,"base":7}}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2914,"base":7},"right_expr":{"type":"numeric_atoms","value":1421,"base":7}}}}},"used_operators":["5twsqlHp2o","2GS7woTJqF","BiWNJpBvwn","9samAPKr6k","13rbtpv6ld","8HhzD0ZcuI","a3N2hFLK0J","KYD54nUTWz","DlLNRPXxWL","wztAlM01eG","tmPS8pqC7x"],"dependent_operators":["P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","g55IO6H4Gj","D4vGDi5EA2","Ph9nP6C5qx","xUOZtlo3hN","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","g55IO6H4Gj","DpFCA1CohY","xUOZtlo3hN","8HhzD0ZcuI","rGHVDoGpnC","rGHVDoGpnC","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1378","layer":4},{"info":"number node, value=1871","layer":4},{"info":"compute binary expreesion, left_input=1378, right_input=1871, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"number node, value=2208","layer":4},{"info":"number node, value=1117","layer":4},{"info":"compute binary expreesion, left_input=2208, right_input=1117, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=nan","layer":2},{"info":"number node, value=6016","layer":4},{"info":"compute unary expreesion, input=6016, op_id = a3N2hFLK0J, unary_op_definition = 'a∴≳≥ = { (⨞⊢a) , if (⋗⩬⋾a)==641 ; (a⨸⪁a) , else }', output=24064","layer":3},{"info":"number node, value=1127","layer":4},{"info":"number node, value=5108","layer":4},{"info":"compute binary expreesion, left_input=1127, right_input=5108, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=24064, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=nan","layer":1},{"info":"number node, value=2914","layer":4},{"info":"number node, value=1421","layer":4},{"info":"compute binary expreesion, left_input=2914, right_input=1421, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2914","layer":3},{"info":"compute unary expreesion, input=2914, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-2627","layer":2},{"info":"compute unary expreesion, input=-2627, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉4006⨽∌≴∭⊉5312⩍⋽⫝̸≴∭⊉6303↤⩊≴∭⊉3154+⪬∐((≴∭⊉23353∴≳≥)⨽≴∭⊉3200⫥∨⫟≴∭⊉20615))⊢(⫛⫱⨽(↸⊣(≴∭⊉11332⨪↰⇹≴∭⊉4100)))=NaN","reverse_text":"NaN=(≴∭⊉4006⨽∌≴∭⊉5312⩍⋽⫝̸≴∭⊉6303↤⩊≴∭⊉3154+⪬∐((≴∭⊉23353∴≳≥)⨽≴∭⊉3200⫥∨⫟≴∭⊉20615))⊢(⫛⫱⨽(↸⊣(≴∭⊉11332⨪↰⇹≴∭⊉4100)))","cot":[{"info":"≴∭⊉4006⨽∌≴∭⊉5312=≴∭⊉0","layer":3},{"info":"≴∭⊉6303↤⩊≴∭⊉3154=NaN","layer":3},{"info":"≴∭⊉0⩍⋽⫝̸NaN=NaN","layer":2},{"info":"≴∭⊉23353∴≳≥=≴∭⊉130105","layer":3},{"info":"≴∭⊉3200⫥∨⫟≴∭⊉20615=NaN","layer":3},{"info":"≴∭⊉130105⨽NaN=NaN","layer":2},{"info":"NaN+⪬∐NaN=NaN","layer":1},{"info":"≴∭⊉11332⨪↰⇹≴∭⊉4100=≴∭⊉11332","layer":3},{"info":"↸⊣≴∭⊉11332=≴∭⊉-10442","layer":2},{"info":"⫛⫱⨽≴∭⊉-10442=≴∭⊉0","layer":1},{"info":"NaN⊢≴∭⊉0=NaN","layer":0}]}
+{"id":154,"expression_no_base_symbol":"(($1009$∠↢$4729$∲⫓($3487$≋⫹))⊍⩺⋍($4748$≥⨤⩑$7153$)⊨$4959$⊉↱≁$1057$)⊱⇼⊻(⫓⪴($7829$⇴∐$9643$))⪎↠$5229$⊕∕$1500$⨽∌($5235$⊢$3903$)","expression":"((≴∭⊉2641∠↢≴∭⊉16534∲⫓(≴∭⊉13111≋⫹))⊍⩺⋍(≴∭⊉16562≥⨤⩑≴∭⊉26566)⊨≴∭⊉20313⊉↱≁≴∭⊉3040)⊱⇼⊻(⫓⪴(≴∭⊉31553⇴∐≴∭⊉40054))⪎↠≴∭⊉21150⊕∕≴∭⊉4242⨽∌(≴∭⊉21156⊢≴∭⊉14244)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":485,"operation_count":14,"complexity_ratio":34.642857142857146,"tree":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":1009,"base":7},"right_expr":{"type":"numeric_atoms","value":4729,"base":7}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":3487,"base":7}}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":4748,"base":7},"right_expr":{"type":"numeric_atoms","value":7153,"base":7}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":4959,"base":7},"right_expr":{"type":"numeric_atoms","value":1057,"base":7}}}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":7829,"base":7},"right_expr":{"type":"numeric_atoms","value":9643,"base":7}}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":5229,"base":7},"right_expr":{"type":"numeric_atoms","value":1500,"base":7}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":5235,"base":7},"right_expr":{"type":"numeric_atoms","value":3903,"base":7}}}}},"used_operators":["FyVja0WsTP","OXDGMFPWZM","i8ToyICDmI","KbjG8mgYpV","N41Kp7NANJ","vg4gO5BX6G","gJLn6v0xnP","w2P8NbNXyL","3tVxb0NHM4","eLxqMNBOBk","HnzytWxmAO","9samAPKr6k","9cloC0Ngie","5twsqlHp2o"],"dependent_operators":["W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","9HNa5Wba9A","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1009","layer":4},{"info":"number node, value=4729","layer":4},{"info":"compute binary expreesion, left_input=1009, right_input=4729, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-69160","layer":3},{"info":"number node, value=3487","layer":4},{"info":"compute unary expreesion, input=3487, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-6974","layer":3},{"info":"compute binary expreesion, left_input=-69160, right_input=-6974, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-69160","layer":2},{"info":"number node, value=4748","layer":4},{"info":"number node, value=7153","layer":4},{"info":"compute binary expreesion, left_input=4748, right_input=7153, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"number node, value=4959","layer":4},{"info":"number node, value=1057","layer":4},{"info":"compute binary expreesion, left_input=4959, right_input=1057, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=43196","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=43196, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=5967","layer":2},{"info":"compute binary expreesion, left_input=-69160, right_input=5967, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":1},{"info":"number node, value=7829","layer":4},{"info":"number node, value=9643","layer":4},{"info":"compute binary expreesion, left_input=7829, right_input=9643, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":2},{"info":"number node, value=5229","layer":4},{"info":"number node, value=1500","layer":4},{"info":"compute binary expreesion, left_input=5229, right_input=1500, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=5229","layer":3},{"info":"number node, value=5235","layer":4},{"info":"number node, value=3903","layer":4},{"info":"compute binary expreesion, left_input=5235, right_input=3903, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-10714","layer":3},{"info":"compute binary expreesion, left_input=5229, right_input=-10714, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉2641∠↢≴∭⊉16534∲⫓(≴∭⊉13111≋⫹))⊍⩺⋍(≴∭⊉16562≥⨤⩑≴∭⊉26566)⊨≴∭⊉20313⊉↱≁≴∭⊉3040)⊱⇼⊻(⫓⪴(≴∭⊉31553⇴∐≴∭⊉40054))⪎↠≴∭⊉21150⊕∕≴∭⊉4242⨽∌(≴∭⊉21156⊢≴∭⊉14244)=NaN","reverse_text":"NaN=((≴∭⊉2641∠↢≴∭⊉16534∲⫓(≴∭⊉13111≋⫹))⊍⩺⋍(≴∭⊉16562≥⨤⩑≴∭⊉26566)⊨≴∭⊉20313⊉↱≁≴∭⊉3040)⊱⇼⊻(⫓⪴(≴∭⊉31553⇴∐≴∭⊉40054))⪎↠≴∭⊉21150⊕∕≴∭⊉4242⨽∌(≴∭⊉21156⊢≴∭⊉14244)","cot":[{"info":"≴∭⊉2641∠↢≴∭⊉16534=≴∭⊉-405430","layer":3},{"info":"≴∭⊉13111≋⫹=≴∭⊉-26222","layer":3},{"info":"≴∭⊉-405430∲⫓≴∭⊉-26222=≴∭⊉-405430","layer":2},{"info":"≴∭⊉16562≥⨤⩑≴∭⊉26566=≴∭⊉3412","layer":3},{"info":"≴∭⊉20313⊉↱≁≴∭⊉3040=≴∭⊉236636","layer":3},{"info":"≴∭⊉3412⊨≴∭⊉236636=≴∭⊉23253","layer":2},{"info":"≴∭⊉-405430⊍⩺⋍≴∭⊉23253=NaN","layer":1},{"info":"≴∭⊉31553⇴∐≴∭⊉40054=NaN","layer":3},{"info":"⫓⪴NaN=NaN","layer":2},{"info":"≴∭⊉21150⊕∕≴∭⊉4242=≴∭⊉21150","layer":3},{"info":"≴∭⊉21156⊢≴∭⊉14244=≴∭⊉-43144","layer":3},{"info":"≴∭⊉21150⨽∌≴∭⊉-43144=≴∭⊉0","layer":2},{"info":"NaN⪎↠≴∭⊉0=NaN","layer":1},{"info":"NaN⊱⇼⊻NaN=NaN","layer":0}]}
+{"id":155,"expression_no_base_symbol":"↑(($1824$⪭≯$1680$⫔⩽⩺$1548$∛$1197$)≎⊠⪸$1182$⊉↱≁$6521$⋣⋖(≋$1037$))","expression":"↑((≴∭⊉5214⪭≯≴∭⊉4620⫔⩽⩺≴∭⊉4341∛≴∭⊉3330)≎⊠⪸≴∭⊉3306⊉↱≁≴∭⊉25004⋣⋖(≋≴∭⊉3011))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":6397,"operation_count":8,"complexity_ratio":799.625,"tree":{"type":"unary","operator":"↑","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":1824,"base":7},"right_expr":{"type":"numeric_atoms","value":1680,"base":7}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":1548,"base":7},"right_expr":{"type":"numeric_atoms","value":1197,"base":7}}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":1182,"base":7},"right_expr":{"type":"numeric_atoms","value":6521,"base":7}},"right_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"numeric_atoms","value":1037,"base":7}}}}},"used_operators":["tR7O2zTn5j","bJkvcejdHO","i9eR4S00cU","XAx5wpdLa6","w2537kitQq","J0M6qkBnIM","w2P8NbNXyL","61wBmkZwlr"],"dependent_operators":["oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","Tw270M8GLb","fu6greOZ01","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","7j4O788W3g"],"result":"≴∭⊉363","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1824","layer":4},{"info":"number node, value=1680","layer":4},{"info":"compute binary expreesion, left_input=1824, right_input=1680, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"number node, value=1548","layer":4},{"info":"number node, value=1197","layer":4},{"info":"compute binary expreesion, left_input=1548, right_input=1197, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":2},{"info":"number node, value=1182","layer":4},{"info":"number node, value=6521","layer":4},{"info":"compute binary expreesion, left_input=1182, right_input=6521, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-28420","layer":3},{"info":"number node, value=1037","layer":4},{"info":"compute unary expreesion, input=1037, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=1037","layer":3},{"info":"compute binary expreesion, left_input=-28420, right_input=1037, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=-28420","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-28420, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":1},{"info":"compute unary expreesion, input=67, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":0}],"base":7,"result_base":7,"text":"↑((≴∭⊉5214⪭≯≴∭⊉4620⫔⩽⩺≴∭⊉4341∛≴∭⊉3330)≎⊠⪸≴∭⊉3306⊉↱≁≴∭⊉25004⋣⋖(≋≴∭⊉3011))=≴∭⊉363","reverse_text":"≴∭⊉363=↑((≴∭⊉5214⪭≯≴∭⊉4620⫔⩽⩺≴∭⊉4341∛≴∭⊉3330)≎⊠⪸≴∭⊉3306⊉↱≁≴∭⊉25004⋣⋖(≋≴∭⊉3011))","cot":[{"info":"≴∭⊉5214⪭≯≴∭⊉4620=NaN","layer":3},{"info":"≴∭⊉4341∛≴∭⊉3330=≴∭⊉124","layer":3},{"info":"NaN⫔⩽⩺≴∭⊉124=NaN","layer":2},{"info":"≴∭⊉3306⊉↱≁≴∭⊉25004=≴∭⊉-145600","layer":3},{"info":"≋≴∭⊉3011=≴∭⊉3011","layer":3},{"info":"≴∭⊉-145600⋣⋖≴∭⊉3011=≴∭⊉-145600","layer":2},{"info":"NaN≎⊠⪸≴∭⊉-145600=≴∭⊉124","layer":1},{"info":"↑≴∭⊉124=≴∭⊉363","layer":0}]}
+{"id":156,"expression_no_base_symbol":"((∡$4095$⊹∫⫚$4590$)∀⋜↑)⨔⇊($1002$≹⇙⪍$1359$⫰⋱$1773$⋹⋡⊁$2062$)⨽∌(⨡↴$1680$↳≱$1604$)","expression":"((∡≴∭⊉14640⊹∫⫚≴∭⊉16245)∀⋜↑)⨔⇊(≴∭⊉2631≹⇙⪍≴∭⊉3651⫰⋱≴∭⊉5112⋹⋡⊁≴∭⊉6004)⨽∌(⨡↴≴∭⊉4620↳≱≴∭⊉4451)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":62749,"operation_count":10,"complexity_ratio":6274.9,"tree":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"unary","operator":"∀⋜↑","unary_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":4095,"base":7},"right_expr":{"type":"numeric_atoms","value":4590,"base":7}}}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1002,"base":7},"right_expr":{"type":"numeric_atoms","value":1359,"base":7}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":1773,"base":7},"right_expr":{"type":"numeric_atoms","value":2062,"base":7}}},"right_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":1680,"base":7},"right_expr":{"type":"numeric_atoms","value":1604,"base":7}}}}},"used_operators":["JclMnS0uGI","KipPnG1M2J","pRsWfj4Fpp","uWAJUKEvyW","9samAPKr6k","6o9Blt3TJ6","AHs5Up7iyr","As8RqfVLgs","liw5iZPkLH","JwTKLfZU96"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","eLAdDNolq6","23Mk6UjR3U","f6k1SAg4EE","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","dWAJyo7jo9","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","W4YGzv6Whe","P8v4zCKN1o","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4095","layer":4},{"info":"number node, value=4590","layer":4},{"info":"compute binary expreesion, left_input=4095, right_input=4590, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-252","layer":3},{"info":"compute unary expreesion, input=-252, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=1512","layer":2},{"info":"compute unary expreesion, input=1512, op_id = KipPnG1M2J, unary_op_definition = 'a∀⋜↑ = { ((≤/a)⪒(a⋷a)) }', output=-484","layer":1},{"info":"number node, value=1002","layer":4},{"info":"number node, value=1359","layer":4},{"info":"compute binary expreesion, left_input=1002, right_input=1359, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1773","layer":4},{"info":"number node, value=2062","layer":4},{"info":"compute binary expreesion, left_input=1773, right_input=2062, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=2812","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2812, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=nan","layer":2},{"info":"number node, value=1680","layer":4},{"info":"number node, value=1604","layer":4},{"info":"compute binary expreesion, left_input=1680, right_input=1604, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=1049","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1049, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-484, right_input=0, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=0","layer":0}],"base":7,"result_base":7,"text":"((∡≴∭⊉14640⊹∫⫚≴∭⊉16245)∀⋜↑)⨔⇊(≴∭⊉2631≹⇙⪍≴∭⊉3651⫰⋱≴∭⊉5112⋹⋡⊁≴∭⊉6004)⨽∌(⨡↴≴∭⊉4620↳≱≴∭⊉4451)=≴∭⊉0","reverse_text":"≴∭⊉0=((∡≴∭⊉14640⊹∫⫚≴∭⊉16245)∀⋜↑)⨔⇊(≴∭⊉2631≹⇙⪍≴∭⊉3651⫰⋱≴∭⊉5112⋹⋡⊁≴∭⊉6004)⨽∌(⨡↴≴∭⊉4620↳≱≴∭⊉4451)","cot":[{"info":"≴∭⊉14640⊹∫⫚≴∭⊉16245=≴∭⊉-510","layer":3},{"info":"∡≴∭⊉-510=≴∭⊉4260","layer":2},{"info":"≴∭⊉4260∀⋜↑=≴∭⊉-1261","layer":1},{"info":"≴∭⊉2631≹⇙⪍≴∭⊉3651=NaN","layer":3},{"info":"≴∭⊉5112⋹⋡⊁≴∭⊉6004=≴∭⊉11125","layer":3},{"info":"NaN⫰⋱≴∭⊉11125=NaN","layer":2},{"info":"≴∭⊉4620↳≱≴∭⊉4451=≴∭⊉0","layer":3},{"info":"⨡↴≴∭⊉0=≴∭⊉3026","layer":2},{"info":"NaN⨽∌≴∭⊉3026=≴∭⊉0","layer":1},{"info":"≴∭⊉-1261⨔⇊≴∭⊉0=≴∭⊉0","layer":0}]}
+{"id":157,"expression_no_base_symbol":"(∜⨇($7673$∳⫺$1216$+⪬∐($2532$/$3347$)))⫣⪄⊒(($3209$⩦$4465$+$1281$⇮⋭$3928$)∸)","expression":"(∜⨇(≴∭⊉31241∳⫺≴∭⊉3355+⪬∐(≴∭⊉10245/≴∭⊉12521)))⫣⪄⊒((≴∭⊉12233⩦≴∭⊉16006+≴∭⊉3510⇮⋭≴∭⊉14311)∸)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4031,"operation_count":9,"complexity_ratio":447.8888888888889,"tree":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":7673,"base":7},"right_expr":{"type":"numeric_atoms","value":1216,"base":7}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2532,"base":7},"right_expr":{"type":"numeric_atoms","value":3347,"base":7}}}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":3209,"base":7},"right_expr":{"type":"numeric_atoms","value":4465,"base":7}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":1281,"base":7},"right_expr":{"type":"numeric_atoms","value":3928,"base":7}}}}},"used_operators":["RabNbG55vr","uFPyJr306J","2GS7woTJqF","AzXXKTstlj","XhwjNDsVaA","o20kRiQErp","W4YGzv6Whe","0kmYd0q39Y","vkpjKywKVM"],"dependent_operators":["NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","g55IO6H4Gj","D4vGDi5EA2","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","rysDP5nf3Z","tmPS8pqC7x","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW"],"result":"≴∭⊉316","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=7673","layer":4},{"info":"number node, value=1216","layer":4},{"info":"compute binary expreesion, left_input=7673, right_input=1216, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":3},{"info":"number node, value=2532","layer":4},{"info":"number node, value=3347","layer":4},{"info":"compute binary expreesion, left_input=2532, right_input=3347, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=-260, right_input=0, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=780","layer":2},{"info":"compute unary expreesion, input=780, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=0","layer":1},{"info":"number node, value=3209","layer":4},{"info":"number node, value=4465","layer":4},{"info":"compute binary expreesion, left_input=3209, right_input=4465, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=6418","layer":3},{"info":"number node, value=1281","layer":4},{"info":"number node, value=3928","layer":4},{"info":"compute binary expreesion, left_input=1281, right_input=3928, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute binary expreesion, left_input=6418, right_input=-473, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5945","layer":2},{"info":"compute unary expreesion, input=5945, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=177, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=160","layer":0}],"base":7,"result_base":7,"text":"(∜⨇(≴∭⊉31241∳⫺≴∭⊉3355+⪬∐(≴∭⊉10245/≴∭⊉12521)))⫣⪄⊒((≴∭⊉12233⩦≴∭⊉16006+≴∭⊉3510⇮⋭≴∭⊉14311)∸)=≴∭⊉316","reverse_text":"≴∭⊉316=(∜⨇(≴∭⊉31241∳⫺≴∭⊉3355+⪬∐(≴∭⊉10245/≴∭⊉12521)))⫣⪄⊒((≴∭⊉12233⩦≴∭⊉16006+≴∭⊉3510⇮⋭≴∭⊉14311)∸)","cot":[{"info":"≴∭⊉31241∳⫺≴∭⊉3355=≴∭⊉-521","layer":3},{"info":"≴∭⊉10245/≴∭⊉12521=≴∭⊉0","layer":3},{"info":"≴∭⊉-521+⪬∐≴∭⊉0=≴∭⊉2163","layer":2},{"info":"∜⨇≴∭⊉2163=≴∭⊉0","layer":1},{"info":"≴∭⊉12233⩦≴∭⊉16006=≴∭⊉24466","layer":3},{"info":"≴∭⊉3510⇮⋭≴∭⊉14311=≴∭⊉-1244","layer":3},{"info":"≴∭⊉24466+≴∭⊉-1244=≴∭⊉23222","layer":2},{"info":"≴∭⊉23222∸=≴∭⊉342","layer":1},{"info":"≴∭⊉0⫣⪄⊒≴∭⊉342=≴∭⊉316","layer":0}]}
+{"id":158,"expression_no_base_symbol":"(($2131$⇄$3986$)⊴$2729$↢$3117$)⇍⊗($3536$⫚↹⊑$5607$)⋕⪉⪜$2741$⪟⇏$2839$⨐⩸⫘($3016$⪮%⊝$4293$⨓($1279$≃$1386$)⊢)","expression":"((≴∭⊉6133⇄≴∭⊉14423)⊴≴∭⊉10646↢≴∭⊉12042)⇍⊗(≴∭⊉13211⫚↹⊑≴∭⊉22230)⋕⪉⪜≴∭⊉10664⪟⇏≴∭⊉11164⨐⩸⫘(≴∭⊉11536⪮%⊝≴∭⊉15342⨓(≴∭⊉3505≃≴∭⊉4020)⊢)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":7572,"operation_count":12,"complexity_ratio":631.0,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":2131,"base":7},"right_expr":{"type":"numeric_atoms","value":3986,"base":7}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":2729,"base":7},"right_expr":{"type":"numeric_atoms","value":3117,"base":7}}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":3536,"base":7},"right_expr":{"type":"numeric_atoms","value":5607,"base":7}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":2741,"base":7},"right_expr":{"type":"numeric_atoms","value":2839,"base":7}}}},"right_expr":{"type":"unary","operator":"⊢","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3016,"base":7},"right_expr":{"type":"numeric_atoms","value":4293,"base":7}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":1279,"base":7},"right_expr":{"type":"numeric_atoms","value":1386,"base":7}}}}},"used_operators":["fu6greOZ01","5uvYHDjeKN","Nsiff2A1zJ","3EYGwJThht","WR6HLWljOP","z6LnFrNh4i","dfKe02y8D2","GODebY97qR","40aOVDgCDB","3ViojmjbAp","IWmyXbctLI","YbVcJGFEVW"],"dependent_operators":["3ViojmjbAp","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","dWAJyo7jo9","14qkJME0vr","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","NTOWxs364D","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2131","layer":4},{"info":"number node, value=3986","layer":4},{"info":"compute binary expreesion, left_input=2131, right_input=3986, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"number node, value=2729","layer":4},{"info":"number node, value=3117","layer":4},{"info":"compute binary expreesion, left_input=2729, right_input=3117, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=2245","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2245, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=3536","layer":4},{"info":"number node, value=5607","layer":4},{"info":"compute binary expreesion, left_input=3536, right_input=5607, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"number node, value=2741","layer":4},{"info":"number node, value=2839","layer":4},{"info":"compute binary expreesion, left_input=2741, right_input=2839, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=-1, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2802, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":1},{"info":"number node, value=3016","layer":4},{"info":"number node, value=4293","layer":4},{"info":"compute binary expreesion, left_input=3016, right_input=4293, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=6348","layer":3},{"info":"number node, value=1279","layer":4},{"info":"number node, value=1386","layer":4},{"info":"compute binary expreesion, left_input=1279, right_input=1386, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-5156","layer":3},{"info":"compute binary expreesion, left_input=6348, right_input=-5156, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=5153","layer":2},{"info":"compute unary expreesion, input=5153, op_id = 40aOVDgCDB, unary_op_definition = 'a⊢ = { a , if a<=675 ; (a⩚⊴⇥126) , else }', output=-5400","layer":1},{"info":"compute binary expreesion, left_input=-244, right_input=-5400, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉6133⇄≴∭⊉14423)⊴≴∭⊉10646↢≴∭⊉12042)⇍⊗(≴∭⊉13211⫚↹⊑≴∭⊉22230)⋕⪉⪜≴∭⊉10664⪟⇏≴∭⊉11164⨐⩸⫘(≴∭⊉11536⪮%⊝≴∭⊉15342⨓(≴∭⊉3505≃≴∭⊉4020)⊢)=NaN","reverse_text":"NaN=((≴∭⊉6133⇄≴∭⊉14423)⊴≴∭⊉10646↢≴∭⊉12042)⇍⊗(≴∭⊉13211⫚↹⊑≴∭⊉22230)⋕⪉⪜≴∭⊉10664⪟⇏≴∭⊉11164⨐⩸⫘(≴∭⊉11536⪮%⊝≴∭⊉15342⨓(≴∭⊉3505≃≴∭⊉4020)⊢)","cot":[{"info":"≴∭⊉6133⇄≴∭⊉14423=≴∭⊉0","layer":3},{"info":"≴∭⊉10646↢≴∭⊉12042=≴∭⊉6355","layer":3},{"info":"≴∭⊉0⊴≴∭⊉6355=NaN","layer":2},{"info":"≴∭⊉13211⫚↹⊑≴∭⊉22230=≴∭⊉-1206","layer":3},{"info":"≴∭⊉10664⪟⇏≴∭⊉11164=≴∭⊉-1","layer":3},{"info":"≴∭⊉-1206⋕⪉⪜≴∭⊉-1=≴∭⊉11112","layer":2},{"info":"NaN⇍⊗≴∭⊉11112=≴∭⊉-466","layer":1},{"info":"≴∭⊉11536⪮%⊝≴∭⊉15342=≴∭⊉24336","layer":3},{"info":"≴∭⊉3505≃≴∭⊉4020=≴∭⊉-21014","layer":3},{"info":"≴∭⊉24336⨓≴∭⊉-21014=≴∭⊉21011","layer":2},{"info":"≴∭⊉21011⊢=≴∭⊉-21513","layer":1},{"info":"≴∭⊉-466⨐⩸⫘≴∭⊉-21513=NaN","layer":0}]}
+{"id":159,"expression_no_base_symbol":"(($8097$⊹≧⊝)∑⇟⊟$1581$⨥⫆$6950$)↞⋁(($6754$⫻⋑⊟)⋣⋖($1201$⪘⫢$1673$))∌((($2277$⫸⇳$6069$)↑)∠⫱($7802$↱$4089$)⇴∐$1030$⨑⩅≇$3128$)","expression":"((≴∭⊉32415⊹≧⊝)∑⇟⊟≴∭⊉4416⨥⫆≴∭⊉26156)↞⋁((≴∭⊉25456⫻⋑⊟)⋣⋖(≴∭⊉3334⪘⫢≴∭⊉4610))∌(((≴∭⊉6432⫸⇳≴∭⊉23460)↑)∠⫱(≴∭⊉31514↱≴∭⊉14631)⇴∐≴∭⊉3001⨑⩅≇≴∭⊉12056)","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":3339,"operation_count":14,"complexity_ratio":238.5,"tree":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⊹≧⊝","unary_expr":{"type":"numeric_atoms","value":8097,"base":7}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":1581,"base":7},"right_expr":{"type":"numeric_atoms","value":6950,"base":7}}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"unary","operator":"⫻⋑⊟","unary_expr":{"type":"numeric_atoms","value":6754,"base":7}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1201,"base":7},"right_expr":{"type":"numeric_atoms","value":1673,"base":7}}}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":2277,"base":7},"right_expr":{"type":"numeric_atoms","value":6069,"base":7}}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":7802,"base":7},"right_expr":{"type":"numeric_atoms","value":4089,"base":7}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":1030,"base":7},"right_expr":{"type":"numeric_atoms","value":3128,"base":7}}}}},"used_operators":["8cLx32lpNA","RqrPlJkxDo","U7g4x0WXJJ","LxFB4K6j0n","yXekIHxTD4","J0M6qkBnIM","o575Zjdmzy","oacrs7FA3X","QvoQhV0rrE","BThhyOhh10","gx7XJ7hdpj","HnzytWxmAO","SR5kFfdi6N","h92wMvzauj"],"dependent_operators":["N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","NTOWxs364D","P8v4zCKN1o","XPYlsWDdGa","DZ8iAZOCBD","t8gj7n24qd","g55IO6H4Gj","eewbuw0ToL","i8ToyICDmI","COABgblf1C","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","rysDP5nf3Z","sdazOOVcIp","12rbrZMWeM","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","i8ToyICDmI","3EYGwJThht","xNBdhnnwKq","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq"],"result":"≴∭⊉-662","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=8097","layer":4},{"info":"compute unary expreesion, input=8097, op_id = LxFB4K6j0n, unary_op_definition = 'a⊹≧⊝ = { (((∥⊫a)⊭↱(a⩚⊴⇥a))⊉≛↸(⪲⇎(⪲⇎a))) , if a!=566 ; (-((a∲⫓a)⨸⪁(a⨰a))) , else }', output=-32388","layer":3},{"info":"number node, value=1581","layer":4},{"info":"number node, value=6950","layer":4},{"info":"compute binary expreesion, left_input=1581, right_input=6950, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=13776","layer":3},{"info":"compute binary expreesion, left_input=-32388, right_input=13776, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=6754","layer":4},{"info":"compute unary expreesion, input=6754, op_id = o575Zjdmzy, unary_op_definition = 'a⫻⋑⊟ = { ((a⨸⪁(⨞⊢a))⪨≂((a∲⫓a)⋳⪒(265-a))) }', output=-12998","layer":3},{"info":"number node, value=1201","layer":4},{"info":"number node, value=1673","layer":4},{"info":"compute binary expreesion, left_input=1201, right_input=1673, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2278","layer":3},{"info":"compute binary expreesion, left_input=-12998, right_input=2278, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=-12998","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-12998, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":1},{"info":"number node, value=2277","layer":4},{"info":"number node, value=6069","layer":4},{"info":"compute binary expreesion, left_input=2277, right_input=6069, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = BThhyOhh10, unary_op_definition = 'a↑ = { ((a∲⫓a)⇄(262⊭∹↮)) }', output=222","layer":2},{"info":"number node, value=7802","layer":4},{"info":"number node, value=4089","layer":4},{"info":"compute binary expreesion, left_input=7802, right_input=4089, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-11745","layer":3},{"info":"number node, value=1030","layer":4},{"info":"number node, value=3128","layer":4},{"info":"compute binary expreesion, left_input=1030, right_input=3128, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-3090","layer":3},{"info":"compute binary expreesion, left_input=-11745, right_input=-3090, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=-116","layer":2},{"info":"compute binary expreesion, left_input=222, right_input=-116, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=338","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=338, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-338","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉32415⊹≧⊝)∑⇟⊟≴∭⊉4416⨥⫆≴∭⊉26156)↞⋁((≴∭⊉25456⫻⋑⊟)⋣⋖(≴∭⊉3334⪘⫢≴∭⊉4610))∌(((≴∭⊉6432⫸⇳≴∭⊉23460)↑)∠⫱(≴∭⊉31514↱≴∭⊉14631)⇴∐≴∭⊉3001⨑⩅≇≴∭⊉12056)=≴∭⊉-662","reverse_text":"≴∭⊉-662=((≴∭⊉32415⊹≧⊝)∑⇟⊟≴∭⊉4416⨥⫆≴∭⊉26156)↞⋁((≴∭⊉25456⫻⋑⊟)⋣⋖(≴∭⊉3334⪘⫢≴∭⊉4610))∌(((≴∭⊉6432⫸⇳≴∭⊉23460)↑)∠⫱(≴∭⊉31514↱≴∭⊉14631)⇴∐≴∭⊉3001⨑⩅≇≴∭⊉12056)","cot":[{"info":"≴∭⊉32415⊹≧⊝=≴∭⊉-163266","layer":3},{"info":"≴∭⊉4416⨥⫆≴∭⊉26156=≴∭⊉55110","layer":3},{"info":"≴∭⊉-163266∑⇟⊟≴∭⊉55110=NaN","layer":2},{"info":"≴∭⊉25456⫻⋑⊟=≴∭⊉-52616","layer":3},{"info":"≴∭⊉3334⪘⫢≴∭⊉4610=≴∭⊉6433","layer":3},{"info":"≴∭⊉-52616⋣⋖≴∭⊉6433=≴∭⊉-52616","layer":2},{"info":"NaN↞⋁≴∭⊉-52616=NaN","layer":1},{"info":"≴∭⊉6432⫸⇳≴∭⊉23460=≴∭⊉0","layer":3},{"info":"≴∭⊉0↑=≴∭⊉435","layer":2},{"info":"≴∭⊉31514↱≴∭⊉14631=≴∭⊉-46146","layer":3},{"info":"≴∭⊉3001⨑⩅≇≴∭⊉12056=≴∭⊉-12003","layer":3},{"info":"≴∭⊉-46146⇴∐≴∭⊉-12003=≴∭⊉-224","layer":2},{"info":"≴∭⊉435∠⫱≴∭⊉-224=≴∭⊉662","layer":1},{"info":"NaN∌≴∭⊉662=≴∭⊉-662","layer":0}]}
+{"id":160,"expression_no_base_symbol":"(≦∁$1088$∋$1275$→⨶⪴($2273$⪁$4293$))↺(($1171$∖$1031$)⨸⪁$9584$⫁$1027$)⨂≜($1266$∴$1910$⫘$2834$⋥⋵⩄$2544$)","expression":"(≦∁≴∭⊉3113∋≴∭⊉3501→⨶⪴(≴∭⊉6425⪁≴∭⊉15342))↺((≴∭⊉3262∖≴∭⊉3002)⨸⪁≴∭⊉36641⫁≴∭⊉2665)⨂≜(≴∭⊉3456∴≴∭⊉5366⫘≴∭⊉11156⋥⋵⩄≴∭⊉10263)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":225269246,"operation_count":12,"complexity_ratio":18772437.166666668,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":1088,"base":7},"right_expr":{"type":"numeric_atoms","value":1275,"base":7}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":2273,"base":7},"right_expr":{"type":"numeric_atoms","value":4293,"base":7}}}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":1171,"base":7},"right_expr":{"type":"numeric_atoms","value":1031,"base":7}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":9584,"base":7},"right_expr":{"type":"numeric_atoms","value":1027,"base":7}}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":1266,"base":7},"right_expr":{"type":"numeric_atoms","value":1910,"base":7}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":2834,"base":7},"right_expr":{"type":"numeric_atoms","value":2544,"base":7}}}}},"used_operators":["7j4O788W3g","9ICcGScMcE","bF6eod5Gvf","ukq6epAj5P","I7sXao9hZE","k1SHOSEABc","g55IO6H4Gj","tXD093vOjl","0ajvFaJAv0","48vC8HMD2b","hrf7POJlIJ","7t3wd0Fuz7"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","8w2t5hMYqp","9FxExcQeMw","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","W4YGzv6Whe","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","cHh1gJQ2o6","AHs5Up7iyr","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1088","layer":4},{"info":"number node, value=1275","layer":4},{"info":"compute binary expreesion, left_input=1088, right_input=1275, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=2644704","layer":3},{"info":"number node, value=2273","layer":4},{"info":"number node, value=4293","layer":4},{"info":"compute binary expreesion, left_input=2273, right_input=4293, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2644704, right_input=nan, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=nan","layer":1},{"info":"number node, value=1171","layer":4},{"info":"number node, value=1031","layer":4},{"info":"compute binary expreesion, left_input=1171, right_input=1031, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"number node, value=9584","layer":4},{"info":"number node, value=1027","layer":4},{"info":"compute binary expreesion, left_input=9584, right_input=1027, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=160, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=320","layer":2},{"info":"number node, value=1266","layer":4},{"info":"number node, value=1910","layer":4},{"info":"compute binary expreesion, left_input=1266, right_input=1910, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=4180","layer":3},{"info":"number node, value=2834","layer":4},{"info":"number node, value=2544","layer":4},{"info":"compute binary expreesion, left_input=2834, right_input=2544, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=4180, right_input=113, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=4920085","layer":2},{"info":"compute binary expreesion, left_input=320, right_input=4920085, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≦∁≴∭⊉3113∋≴∭⊉3501→⨶⪴(≴∭⊉6425⪁≴∭⊉15342))↺((≴∭⊉3262∖≴∭⊉3002)⨸⪁≴∭⊉36641⫁≴∭⊉2665)⨂≜(≴∭⊉3456∴≴∭⊉5366⫘≴∭⊉11156⋥⋵⩄≴∭⊉10263)=NaN","reverse_text":"NaN=(≦∁≴∭⊉3113∋≴∭⊉3501→⨶⪴(≴∭⊉6425⪁≴∭⊉15342))↺((≴∭⊉3262∖≴∭⊉3002)⨸⪁≴∭⊉36641⫁≴∭⊉2665)⨂≜(≴∭⊉3456∴≴∭⊉5366⫘≴∭⊉11156⋥⋵⩄≴∭⊉10263)","cot":[{"info":"≴∭⊉3113∋≴∭⊉3501=≴∭⊉31323336","layer":3},{"info":"≴∭⊉6425⪁≴∭⊉15342=NaN","layer":3},{"info":"≴∭⊉31323336→⨶⪴NaN=NaN","layer":2},{"info":"≦∁NaN=NaN","layer":1},{"info":"≴∭⊉3262∖≴∭⊉3002=≴∭⊉0","layer":3},{"info":"≴∭⊉36641⫁≴∭⊉2665=≴∭⊉316","layer":3},{"info":"≴∭⊉0⨸⪁≴∭⊉316=≴∭⊉635","layer":2},{"info":"≴∭⊉3456∴≴∭⊉5366=≴∭⊉15121","layer":3},{"info":"≴∭⊉11156⋥⋵⩄≴∭⊉10263=≴∭⊉221","layer":3},{"info":"≴∭⊉15121⫘≴∭⊉221=≴∭⊉56551162","layer":2},{"info":"≴∭⊉635⨂≜≴∭⊉56551162=NaN","layer":1},{"info":"NaN↺NaN=NaN","layer":0}]}
+{"id":161,"expression_no_base_symbol":"(($7385$⪛⫼$1500$)≎⊠⪸$1316$⪍↜⋙$4686$⩹$2832$⊲⩕⊾$1535$⩧⪆($1547$⪭≯$2417$))⫠↝⫳","expression":"((≴∭⊉30350⪛⫼≴∭⊉4242)≎⊠⪸≴∭⊉3560⪍↜⋙≴∭⊉16443⩹≴∭⊉11154⊲⩕⊾≴∭⊉4322⩧⪆(≴∭⊉4340⪭≯≴∭⊉10022))⫠↝⫳","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":492,"operation_count":8,"complexity_ratio":61.5,"tree":{"type":"unary","operator":"⫠↝⫳","unary_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":7385,"base":7},"right_expr":{"type":"numeric_atoms","value":1500,"base":7}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":1316,"base":7},"right_expr":{"type":"numeric_atoms","value":4686,"base":7}}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":2832,"base":7},"right_expr":{"type":"numeric_atoms","value":1535,"base":7}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":1547,"base":7},"right_expr":{"type":"numeric_atoms","value":2417,"base":7}}}}},"used_operators":["8n5YIzOsVS","2Wsdkap16l","bJkvcejdHO","hyuBjUqXlG","L05ObWFQCd","Ikt5ks8PT7","DmTXOeWf9t","XAx5wpdLa6"],"dependent_operators":["9FxExcQeMw","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","eewbuw0ToL","t8gj7n24qd","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=7385","layer":4},{"info":"number node, value=1500","layer":4},{"info":"compute binary expreesion, left_input=7385, right_input=1500, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":3},{"info":"number node, value=1316","layer":4},{"info":"number node, value=4686","layer":4},{"info":"compute binary expreesion, left_input=1316, right_input=4686, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-16735","layer":3},{"info":"compute binary expreesion, left_input=968, right_input=-16735, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":2},{"info":"number node, value=2832","layer":4},{"info":"number node, value=1535","layer":4},{"info":"compute binary expreesion, left_input=2832, right_input=1535, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-57292","layer":3},{"info":"number node, value=1547","layer":4},{"info":"number node, value=2417","layer":4},{"info":"compute binary expreesion, left_input=1547, right_input=2417, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-57292, right_input=nan, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸���(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 8n5YIzOsVS, unary_op_definition = 'a⫠↝⫳ = { (((a⨸⪁a)⩷∴(⩦⩻⨪a))⫡⨏a) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉30350⪛⫼≴∭⊉4242)≎⊠⪸≴∭⊉3560⪍↜⋙≴∭⊉16443⩹≴∭⊉11154⊲⩕⊾≴∭⊉4322⩧⪆(≴∭⊉4340⪭≯≴∭⊉10022))⫠↝⫳=NaN","reverse_text":"NaN=((≴∭⊉30350⪛⫼≴∭⊉4242)≎⊠⪸≴∭⊉3560⪍↜⋙≴∭⊉16443⩹≴∭⊉11154⊲⩕⊾≴∭⊉4322⩧⪆(≴∭⊉4340⪭≯≴∭⊉10022))⫠↝⫳","cot":[{"info":"≴∭⊉30350⪛⫼≴∭⊉4242=≴∭⊉2552","layer":3},{"info":"≴∭⊉3560⪍↜⋙≴∭⊉16443=≴∭⊉-66535","layer":3},{"info":"≴∭⊉2552≎⊠⪸≴∭⊉-66535=≴∭⊉124","layer":2},{"info":"≴∭⊉11154⊲⩕⊾≴∭⊉4322=≴∭⊉-326014","layer":3},{"info":"≴∭⊉4340⪭≯≴∭⊉10022=NaN","layer":3},{"info":"≴∭⊉-326014⩧⪆NaN=NaN","layer":2},{"info":"≴∭⊉124⩹NaN=NaN","layer":1},{"info":"NaN⫠↝⫳=NaN","layer":0}]}
+{"id":162,"expression_no_base_symbol":"((⩏⊷≩$3641$)↳∿⪆($5030$⫢⨠$5948$)⨫⇇↔(($2896$⩒⫫$1572$)⫒⫫($4824$⩵∡$4045$)))→⨶⪴($1972$≹⇙⪍$1821$⫲≸⪮($4257$⨔≚≋$2011$)⋷((⇵⪽$4115$)⪃↞⩐))","expression":"((⩏⊷≩≴∭⊉13421)↳∿⪆(≴∭⊉20444⫢⨠≴∭⊉23225)⨫⇇↔((≴∭⊉11305⩒⫫≴∭⊉4404)⫒⫫(≴∭⊉20031⩵∡≴∭⊉14536)))→⨶⪴(≴∭⊉5515≹⇙⪍≴∭⊉5211⫲≸⪮(≴∭⊉15261⨔≚≋≴∭⊉5602)⋷((⇵⪽≴∭⊉14666)⪃↞⩐))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":2571,"operation_count":14,"complexity_ratio":183.64285714285714,"tree":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"numeric_atoms","value":3641,"base":7}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":5030,"base":7},"right_expr":{"type":"numeric_atoms","value":5948,"base":7}}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":2896,"base":7},"right_expr":{"type":"numeric_atoms","value":1572,"base":7}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":4824,"base":7},"right_expr":{"type":"numeric_atoms","value":4045,"base":7}}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1972,"base":7},"right_expr":{"type":"numeric_atoms","value":1821,"base":7}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":4257,"base":7},"right_expr":{"type":"numeric_atoms","value":2011,"base":7}}},"right_expr":{"type":"unary","operator":"⪃↞⩐","unary_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"numeric_atoms","value":4115,"base":7}}}}},"used_operators":["bF6eod5Gvf","LXhwmt4mBO","Cw4SuJJGHO","uOZ1tnYMDE","xlXykHWxX1","6Ko8hGgeMq","KFSx94NKJn","Y7wcNGrDQJ","23Mk6UjR3U","P3lXMJvFrc","AHs5Up7iyr","Z57zeUYC9z","grXIztHqDa","ZGCBLdVRRX"],"dependent_operators":["8w2t5hMYqp","9FxExcQeMw","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","23Mk6UjR3U","12rbrZMWeM","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","NTOWxs364D","glklzrTFfD","tifHPKVTfV","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","dWAJyo7jo9","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","IwW236VD4Y","bF6eod5Gvf","l07mrZUIn9","U7g4x0WXJJ"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3641","layer":4},{"info":"compute unary expreesion, input=3641, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=6981","layer":3},{"info":"number node, value=5030","layer":4},{"info":"number node, value=5948","layer":4},{"info":"compute binary expreesion, left_input=5030, right_input=5948, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=6981, right_input=160, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":2},{"info":"number node, value=2896","layer":4},{"info":"number node, value=1572","layer":4},{"info":"compute binary expreesion, left_input=2896, right_input=1572, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=2594","layer":3},{"info":"number node, value=4824","layer":4},{"info":"number node, value=4045","layer":4},{"info":"compute binary expreesion, left_input=4824, right_input=4045, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-5724","layer":3},{"info":"compute binary expreesion, left_input=2594, right_input=-5724, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":1},{"info":"number node, value=1972","layer":4},{"info":"number node, value=1821","layer":4},{"info":"compute binary expreesion, left_input=1972, right_input=1821, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=4257","layer":4},{"info":"number node, value=2011","layer":4},{"info":"compute binary expreesion, left_input=4257, right_input=2011, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=9872, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=nan","layer":2},{"info":"number node, value=4115","layer":4},{"info":"compute unary expreesion, input=4115, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = grXIztHqDa, unary_op_definition = 'a⪃↞⩐ = { ((a→⨶⪴a)≠≀(a↪⪝)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-527, right_input=nan, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((⩏⊷≩≴∭⊉13421)↳∿⪆(≴∭⊉20444⫢⨠≴∭⊉23225)⨫⇇↔((≴∭⊉11305⩒⫫≴∭⊉4404)⫒⫫(≴∭⊉20031⩵∡≴∭⊉14536)))→⨶⪴(≴∭⊉5515≹⇙⪍≴∭⊉5211⫲≸⪮(≴∭⊉15261⨔≚≋≴∭⊉5602)⋷((⇵⪽≴∭⊉14666)⪃↞⩐))=NaN","reverse_text":"NaN=((⩏⊷≩≴∭⊉13421)↳∿⪆(≴∭⊉20444⫢⨠≴∭⊉23225)⨫⇇↔((≴∭⊉11305⩒⫫≴∭⊉4404)⫒⫫(≴∭⊉20031⩵∡≴∭⊉14536)))→⨶⪴(≴∭⊉5515≹⇙⪍≴∭⊉5211⫲≸⪮(≴∭⊉15261⨔≚≋≴∭⊉5602)⋷((⇵⪽≴∭⊉14666)⪃↞⩐))","cot":[{"info":"⩏⊷≩≴∭⊉13421=≴∭⊉26232","layer":3},{"info":"≴∭⊉20444⫢⨠≴∭⊉23225=≴∭⊉316","layer":3},{"info":"≴∭⊉26232↳∿⪆≴∭⊉316=NaN","layer":2},{"info":"≴∭⊉11305⩒⫫≴∭⊉4404=≴∭⊉10364","layer":3},{"info":"≴∭⊉20031⩵∡≴∭⊉14536=≴∭⊉-22455","layer":3},{"info":"≴∭⊉10364⫒⫫≴∭⊉-22455=NaN","layer":2},{"info":"NaN⨫⇇↔NaN=≴∭⊉-1352","layer":1},{"info":"≴∭⊉5515≹⇙⪍≴∭⊉5211=NaN","layer":3},{"info":"≴∭⊉15261⨔≚≋≴∭⊉5602=≴∭⊉40532","layer":3},{"info":"NaN⫲≸⪮≴∭⊉40532=NaN","layer":2},{"info":"⇵⪽≴∭⊉14666=NaN","layer":3},{"info":"NaN⪃↞⩐=NaN","layer":2},{"info":"NaN⋷NaN=NaN","layer":1},{"info":"≴∭⊉-1352→⨶⪴NaN=NaN","layer":0}]}
+{"id":163,"expression_no_base_symbol":"($2173$⋆⋳)⊔($2660$⩧⪆$2425$)⫦⪉(($7721$⪇≇⋚$8445$)∩⋅)∽($3002$⨒$7637$)⩼⇪↪(∡$1955$)⇄$8214$⩘$1586$⩧⪆$1445$≹⇙⪍$3385$","expression":"(≴∭⊉6223⋆⋳)⊔(≴∭⊉10520⩧⪆≴∭⊉10033)⫦⪉((≴∭⊉31340⪇≇⋚≴∭⊉33423)∩⋅)∽(≴∭⊉11516⨒≴∭⊉31160)⩼⇪↪(∡≴∭⊉5462)⇄≴∭⊉32643⩘≴∭⊉4424⩧⪆≴∭⊉4133≹⇙⪍≴∭⊉12604","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":226,"operation_count":14,"complexity_ratio":16.142857142857142,"tree":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"unary","operator":"⋆⋳","unary_expr":{"type":"numeric_atoms","value":2173,"base":7}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":2660,"base":7},"right_expr":{"type":"numeric_atoms","value":2425,"base":7}}},"right_expr":{"type":"unary","operator":"∩⋅","unary_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":7721,"base":7},"right_expr":{"type":"numeric_atoms","value":8445,"base":7}}}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":3002,"base":7},"right_expr":{"type":"numeric_atoms","value":7637,"base":7}},"right_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"numeric_atoms","value":1955,"base":7}}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":8214,"base":7},"right_expr":{"type":"numeric_atoms","value":1586,"base":7}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1445,"base":7},"right_expr":{"type":"numeric_atoms","value":3385,"base":7}}}}},"used_operators":["y4ImoPnbV5","wscyQdcy20","E4l6HwMY31","6MpZysEj17","Ikt5ks8PT7","2MzE1hQ0cz","3sJ7IOPOlU","3EYGwJThht","ocnLzx9CaJ","y75s1iXyHd","pRsWfj4Fpp","cHh1gJQ2o6","AHs5Up7iyr"],"dependent_operators":["NTOWxs364D","QMFrweE19q","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","9FxExcQeMw","7j4O788W3g","DIvbN7qnHd","eewbuw0ToL","t8gj7n24qd","Qy55tPpLXF","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2173","layer":4},{"info":"compute unary expreesion, input=2173, op_id = 6MpZysEj17, unary_op_definition = 'a⋆⋳ = { ((a⊠≄⫣)⩷∴(a↺a)) }', output=-4378","layer":3},{"info":"number node, value=2660","layer":4},{"info":"number node, value=2425","layer":4},{"info":"compute binary expreesion, left_input=2660, right_input=2425, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-2425","layer":3},{"info":"compute binary expreesion, left_input=-4378, right_input=-2425, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=23017","layer":2},{"info":"number node, value=7721","layer":4},{"info":"number node, value=8445","layer":4},{"info":"compute binary expreesion, left_input=7721, right_input=8445, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 2MzE1hQ0cz, unary_op_definition = 'a∩⋅ = { (a⋥≓≎44) }', output=121","layer":2},{"info":"compute binary expreesion, left_input=23017, right_input=121, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-41134","layer":1},{"info":"number node, value=3002","layer":4},{"info":"number node, value=7637","layer":4},{"info":"compute binary expreesion, left_input=3002, right_input=7637, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-17640","layer":3},{"info":"number node, value=1955","layer":4},{"info":"compute unary expreesion, input=1955, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=-1955","layer":3},{"info":"compute binary expreesion, left_input=-17640, right_input=-1955, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-22378","layer":2},{"info":"number node, value=8214","layer":4},{"info":"number node, value=1586","layer":4},{"info":"compute binary expreesion, left_input=8214, right_input=1586, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"number node, value=1445","layer":4},{"info":"number node, value=3385","layer":4},{"info":"compute binary expreesion, left_input=1445, right_input=3385, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-22378, right_input=nan, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-41134, right_input=nan, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉6223⋆⋳)⊔(≴∭⊉10520⩧⪆≴∭⊉10033)⫦⪉((≴∭⊉31340⪇≇⋚≴∭⊉33423)∩⋅)∽(≴∭⊉11516⨒≴∭⊉31160)⩼⇪↪(∡≴∭⊉5462)⇄≴∭⊉32643⩘≴∭⊉4424⩧⪆≴∭⊉4133≹⇙⪍≴∭⊉12604=NaN","reverse_text":"NaN=(≴∭⊉6223⋆⋳)⊔(≴∭⊉10520⩧⪆≴∭⊉10033)⫦⪉((≴∭⊉31340⪇≇⋚≴∭⊉33423)∩⋅)∽(≴∭⊉11516⨒≴∭⊉31160)⩼⇪↪(∡≴∭⊉5462)⇄≴∭⊉32643⩘≴∭⊉4424⩧⪆≴∭⊉4133≹⇙⪍≴∭⊉12604","cot":[{"info":"≴∭⊉6223⋆⋳=≴∭⊉-15523","layer":3},{"info":"≴∭⊉10520⩧⪆≴∭⊉10033=≴∭⊉-10033","layer":3},{"info":"≴∭⊉-15523⊔≴∭⊉-10033=≴∭⊉124051","layer":2},{"info":"≴∭⊉31340⪇≇⋚≴∭⊉33423=≴∭⊉0","layer":3},{"info":"≴∭⊉0∩⋅=≴∭⊉232","layer":2},{"info":"≴∭⊉124051⫦⪉≴∭⊉232=≴∭⊉-230632","layer":1},{"info":"≴∭⊉11516⨒≴∭⊉31160=≴∭⊉-102300","layer":3},{"info":"∡≴∭⊉5462=≴∭⊉-5462","layer":3},{"info":"≴∭⊉-102300⩼⇪↪≴∭⊉-5462=≴∭⊉-122146","layer":2},{"info":"≴∭⊉32643⩘≴∭⊉4424=≴∭⊉316","layer":3},{"info":"≴∭⊉4133≹⇙⪍≴∭⊉12604=NaN","layer":3},{"info":"≴∭⊉316⩧⪆NaN=NaN","layer":2},{"info":"≴∭⊉-122146⇄NaN=NaN","layer":1},{"info":"≴∭⊉-230632∽NaN=NaN","layer":0}]}
+{"id":164,"expression_no_base_symbol":"((⪹$4622$)⫘($3048$↡⊰⫅$2803$))≎⪠($1870$↹⊜$5122$⪨⊡($5088$≥⨤⩑$1279$))⪮%⊝(($1075$∛$9269$)⇍⊗($1546$⩒⫫$2372$))⊮⊟↴(($2820$⋘⨑⨽)≄⊠($4926$⪍↜⋙$1982$))","expression":"((⪹≴∭⊉16322)⫘(≴∭⊉11613↡⊰⫅≴∭⊉11113))≎⪠(≴∭⊉5311↹⊜≴∭⊉20635⪨⊡(≴∭⊉20556≥⨤⩑≴∭⊉3505))⪮%⊝((≴∭⊉3064∛≴∭⊉36011)⇍⊗(≴∭⊉4336⩒⫫≴∭⊉6626))⊮⊟↴((≴∭⊉11136⋘⨑⨽)≄⊠(≴∭⊉20235⪍↜⋙≴∭⊉5531))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":63370,"operation_count":15,"complexity_ratio":4224.666666666667,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":4622,"base":7}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":3048,"base":7},"right_expr":{"type":"numeric_atoms","value":2803,"base":7}}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":1870,"base":7},"right_expr":{"type":"numeric_atoms","value":5122,"base":7}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":5088,"base":7},"right_expr":{"type":"numeric_atoms","value":1279,"base":7}}}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":1075,"base":7},"right_expr":{"type":"numeric_atoms","value":9269,"base":7}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":1546,"base":7},"right_expr":{"type":"numeric_atoms","value":2372,"base":7}}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"unary","operator":"⋘⨑⨽","unary_expr":{"type":"numeric_atoms","value":2820,"base":7}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":4926,"base":7},"right_expr":{"type":"numeric_atoms","value":1982,"base":7}}}}},"used_operators":["IWmyXbctLI","aNhz54LH3e","48vC8HMD2b","USyYr0JgAa","VCtxkLNOzz","kuIXHzHcAH","9bazX3JMtO","gJLn6v0xnP","QDVgd2eftb","5uvYHDjeKN","w2537kitQq","KFSx94NKJn","vXNesLlMH1","WmT3o8z6ya","L05ObWFQCd"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","tifHPKVTfV","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","W4YGzv6Whe","DpFCA1CohY","N41Kp7NANJ","8w2t5hMYqp","QMFrweE19q","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4622","layer":4},{"info":"compute unary expreesion, input=4622, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=-4442","layer":3},{"info":"number node, value=3048","layer":4},{"info":"number node, value=2803","layer":4},{"info":"compute binary expreesion, left_input=3048, right_input=2803, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=5606","layer":3},{"info":"compute binary expreesion, left_input=-4442, right_input=5606, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=19578959","layer":2},{"info":"number node, value=1870","layer":4},{"info":"number node, value=5122","layer":4},{"info":"compute binary expreesion, left_input=1870, right_input=5122, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-16844","layer":3},{"info":"number node, value=5088","layer":4},{"info":"number node, value=1279","layer":4},{"info":"compute binary expreesion, left_input=5088, right_input=1279, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=-16844, right_input=1234, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=19578959, right_input=0, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":1},{"info":"number node, value=1075","layer":4},{"info":"number node, value=9269","layer":4},{"info":"compute binary expreesion, left_input=1075, right_input=9269, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"number node, value=1546","layer":4},{"info":"number node, value=2372","layer":4},{"info":"compute binary expreesion, left_input=1546, right_input=2372, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=1244","layer":3},{"info":"compute binary expreesion, left_input=-670, right_input=1244, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":2},{"info":"number node, value=2820","layer":4},{"info":"compute unary expreesion, input=2820, op_id = WmT3o8z6ya, unary_op_definition = 'a⋘⨑⨽ = { ((a⫡⨏a)+(a≋⫹)) , if (⊄⩳↩a)!=44 ; (⋗⩬⋾(394+a)) , else }', output=14883","layer":3},{"info":"number node, value=4926","layer":4},{"info":"number node, value=1982","layer":4},{"info":"compute binary expreesion, left_input=4926, right_input=1982, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=5888","layer":3},{"info":"compute binary expreesion, left_input=14883, right_input=5888, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=98876","layer":2},{"info":"compute binary expreesion, left_input=-244, right_input=98876, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=19558, right_input=0, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((⪹≴∭⊉16322)⫘(≴∭⊉11613↡⊰⫅≴∭⊉11113))≎⪠(≴∭⊉5311↹⊜≴∭⊉20635⪨⊡(≴∭⊉20556≥⨤⩑≴∭⊉3505))⪮%⊝((≴∭⊉3064∛≴∭⊉36011)⇍⊗(≴∭⊉4336⩒⫫≴∭⊉6626))⊮⊟↴((≴∭⊉11136⋘⨑⨽)≄⊠(≴∭⊉20235⪍↜⋙≴∭⊉5531))=NaN","reverse_text":"NaN=((⪹≴∭⊉16322)⫘(≴∭⊉11613↡⊰⫅≴∭⊉11113))≎⪠(≴∭⊉5311↹⊜≴∭⊉20635⪨⊡(≴∭⊉20556≥⨤⩑≴∭⊉3505))⪮%⊝((≴∭⊉3064∛≴∭⊉36011)⇍⊗(≴∭⊉4336⩒⫫≴∭⊉6626))⊮⊟↴((≴∭⊉11136⋘⨑⨽)≄⊠(≴∭⊉20235⪍↜⋙≴∭⊉5531))","cot":[{"info":"⪹≴∭⊉16322=≴∭⊉-15644","layer":3},{"info":"≴∭⊉11613↡⊰⫅≴∭⊉11113=≴∭⊉22226","layer":3},{"info":"≴∭⊉-15644⫘≴∭⊉22226=≴∭⊉325263341","layer":2},{"info":"≴∭⊉5311↹⊜≴∭⊉20635=≴∭⊉-100052","layer":3},{"info":"≴∭⊉20556≥⨤⩑≴∭⊉3505=≴∭⊉3412","layer":3},{"info":"≴∭⊉-100052⪨⊡≴∭⊉3412=≴∭⊉0","layer":2},{"info":"≴∭⊉325263341≎⪠≴∭⊉0=≴∭⊉111010","layer":1},{"info":"≴∭⊉3064∛≴∭⊉36011=≴∭⊉-1645","layer":3},{"info":"≴∭⊉4336⩒⫫≴∭⊉6626=≴∭⊉3425","layer":3},{"info":"≴∭⊉-1645⇍⊗≴∭⊉3425=≴∭⊉-466","layer":2},{"info":"≴∭⊉11136⋘⨑⨽=≴∭⊉61251","layer":3},{"info":"≴∭⊉20235⪍↜⋙≴∭⊉5531=≴∭⊉23111","layer":3},{"info":"≴∭⊉61251≄⊠≴∭⊉23111=≴∭⊉561161","layer":2},{"info":"≴∭⊉-466⊮⊟↴≴∭⊉561161=≴∭⊉0","layer":1},{"info":"≴∭⊉111010⪮%⊝≴∭⊉0=NaN","layer":0}]}
+{"id":165,"expression_no_base_symbol":"∂(≤/($3044$≎⊠⪸$7554$⋷$2986$⫲≸⪮$3227$))","expression":"∂(≤/(≴∭⊉11606≎⊠⪸≴∭⊉31011⋷≴∭⊉11464⫲≸⪮≴∭⊉12260))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":3261,"operation_count":5,"complexity_ratio":652.2,"tree":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3044,"base":7},"right_expr":{"type":"numeric_atoms","value":7554,"base":7}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":2986,"base":7},"right_expr":{"type":"numeric_atoms","value":3227,"base":7}}}}},"used_operators":["Uaa54Peajs","eLAdDNolq6","23Mk6UjR3U","bJkvcejdHO","P3lXMJvFrc"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3044","layer":4},{"info":"number node, value=7554","layer":4},{"info":"compute binary expreesion, left_input=3044, right_input=7554, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=787923","layer":3},{"info":"number node, value=2986","layer":4},{"info":"number node, value=3227","layer":4},{"info":"compute binary expreesion, left_input=2986, right_input=3227, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=2986","layer":3},{"info":"compute binary expreesion, left_input=787923, right_input=2986, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-781951","layer":2},{"info":"compute unary expreesion, input=-781951, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=782435","layer":1},{"info":"compute unary expreesion, input=782435, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"∂(≤/(≴∭⊉11606≎⊠⪸≴∭⊉31011⋷≴∭⊉11464⫲≸⪮≴∭⊉12260))=NaN","reverse_text":"NaN=∂(≤/(≴∭⊉11606≎⊠⪸≴∭⊉31011⋷≴∭⊉11464⫲≸⪮≴∭⊉12260))","cot":[{"info":"≴∭⊉11606≎⊠⪸≴∭⊉31011=≴∭⊉6461103","layer":3},{"info":"≴∭⊉11464⫲≸⪮≴∭⊉12260=≴∭⊉11464","layer":3},{"info":"≴∭⊉6461103⋷≴∭⊉11464=≴∭⊉-6434512","layer":2},{"info":"≤/≴∭⊉-6434512=≴∭⊉6436103","layer":1},{"info":"∂≴∭⊉6436103=NaN","layer":0}]}
+{"id":166,"expression_no_base_symbol":"(↸⊣$5711$)⪮%⊝(⊽$1281$)⨻⩈⩔($4266$⩺⪪$1523$⨳⩥⨓$2280$⪭$4189$)∕⩚(↨($2070$∷$2473$))⪔⊥(∤↝($3769$⪭$1123$))","expression":"(↸⊣≴∭⊉22436)⪮%⊝(⊽≴∭⊉3510)⨻⩈⩔(≴∭⊉15303⩺⪪≴∭⊉4304⨳⩥⨓≴∭⊉6435⪭≴∭⊉15133)∕⩚(↨(≴∭⊉6015∷≴∭⊉10132))⪔⊥(∤↝(≴∭⊉13663⪭≴∭⊉3163))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":452,"operation_count":13,"complexity_ratio":34.76923076923077,"tree":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"numeric_atoms","value":5711,"base":7}},"right_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"numeric_atoms","value":1281,"base":7}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":4266,"base":7},"right_expr":{"type":"numeric_atoms","value":1523,"base":7}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":2280,"base":7},"right_expr":{"type":"numeric_atoms","value":4189,"base":7}}}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":2070,"base":7},"right_expr":{"type":"numeric_atoms","value":2473,"base":7}}},"right_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":3769,"base":7},"right_expr":{"type":"numeric_atoms","value":1123,"base":7}}}}},"used_operators":["z9ffQ9n5Zr","nEsXyWgiOK","IWmyXbctLI","wztAlM01eG","QxG7OkqoLX","nCS4ZIUYfx","uvdQJvN4PV","j9kHMeSvPp","HJ9erzHUuu","jiX4gk2v2Q","D3AQDKkPcf","3UMq87Qwqg"],"dependent_operators":["3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","W4YGzv6Whe","rysDP5nf3Z","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","COABgblf1C","xUOZtlo3hN","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","rGHVDoGpnC","oZj3VtZNQx","9FxExcQeMw","NTOWxs364D","7j4O788W3g","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL"],"result":"≴∭⊉-1264","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5711","layer":4},{"info":"compute unary expreesion, input=5711, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-5424","layer":3},{"info":"number node, value=1281","layer":4},{"info":"compute unary expreesion, input=1281, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=4084","layer":3},{"info":"compute binary expreesion, left_input=-5424, right_input=4084, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-10532","layer":2},{"info":"number node, value=4266","layer":4},{"info":"number node, value=1523","layer":4},{"info":"compute binary expreesion, left_input=4266, right_input=1523, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-44786","layer":3},{"info":"number node, value=2280","layer":4},{"info":"number node, value=4189","layer":4},{"info":"compute binary expreesion, left_input=2280, right_input=4189, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"compute binary expreesion, left_input=-44786, right_input=5, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=44791","layer":2},{"info":"compute binary expreesion, left_input=-10532, right_input=44791, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":1},{"info":"number node, value=2070","layer":4},{"info":"number node, value=2473","layer":4},{"info":"compute binary expreesion, left_input=2070, right_input=2473, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=2473","layer":3},{"info":"compute unary expreesion, input=2473, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":2},{"info":"number node, value=3769","layer":4},{"info":"number node, value=1123","layer":4},{"info":"compute binary expreesion, left_input=3769, right_input=1123, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"compute unary expreesion, input=5, op_id = 3UMq87Qwqg, unary_op_definition = '∤↝a = { a , if ((a⊬⨰244)<=56 or (⫇a)>308 or (a⨐673)<=60) ; (((↩⪖a)⩼⇪↪(57∝206))↺(↩(⊲⪭a))) , else }', output=5","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=5, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-174, right_input=nan, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":0}],"base":7,"result_base":7,"text":"(↸⊣≴∭⊉22436)⪮%⊝(⊽≴∭⊉3510)⨻⩈⩔(≴∭⊉15303⩺⪪≴∭⊉4304⨳⩥⨓≴∭⊉6435⪭≴∭⊉15133)∕⩚(↨(≴∭⊉6015∷≴∭⊉10132))⪔⊥(∤↝(≴∭⊉13663⪭≴∭⊉3163))=≴∭⊉-1264","reverse_text":"≴∭⊉-1264=(↸⊣≴∭⊉22436)⪮%⊝(⊽≴∭⊉3510)⨻⩈⩔(≴∭⊉15303⩺⪪≴∭⊉4304⨳⩥⨓≴∭⊉6435⪭≴∭⊉15133)∕⩚(↨(≴∭⊉6015∷≴∭⊉10132))⪔⊥(∤↝(≴∭⊉13663⪭≴∭⊉3163))","cot":[{"info":"↸⊣≴∭⊉22436=≴∭⊉-21546","layer":3},{"info":"⊽≴∭⊉3510=≴∭⊉14623","layer":3},{"info":"≴∭⊉-21546⪮%⊝≴∭⊉14623=≴∭⊉-42464","layer":2},{"info":"≴∭��15303⩺⪪≴∭⊉4304=≴∭⊉-244400","layer":3},{"info":"≴∭⊉6435⪭≴∭⊉15133=≴∭⊉5","layer":3},{"info":"≴∭⊉-244400⨳⩥⨓≴∭⊉5=≴∭⊉244405","layer":2},{"info":"≴∭⊉-42464⨻⩈⩔≴∭⊉244405=≴∭⊉-336","layer":1},{"info":"≴∭⊉6015∷≴∭⊉10132=≴∭⊉10132","layer":3},{"info":"↨≴∭⊉10132=NaN","layer":2},{"info":"≴∭⊉13663⪭≴∭⊉3163=≴∭⊉5","layer":3},{"info":"∤↝≴∭⊉5=≴∭⊉5","layer":2},{"info":"NaN⪔⊥≴∭⊉5=NaN","layer":1},{"info":"≴∭⊉-336∕⩚NaN=≴∭⊉-1264","layer":0}]}
+{"id":167,"expression_no_base_symbol":"(⫓⪴$6032$)⫳≱↱$5108$⇂≾⫗$1800$⪁$2566$⇌⫙⪟$3622$⋻⩜⩜(⊤⊝$1385$)⪁$5137$⨔⇊$1718$⩧⪆($2354$≥⨤⩑$1935$)⪛⫼(⊲⪭($1947$⋘⨑⨽))","expression":"(⫓⪴≴∭⊉23405)⫳≱↱≴∭⊉20615⇂≾⫗≴∭⊉5151⪁≴∭⊉10324⇌⫙⪟≴∭⊉13363⋻⩜⩜(⊤⊝≴∭⊉4016)⪁≴∭⊉20656⨔⇊≴∭⊉5003⩧⪆(≴∭⊉6602≥⨤⩑≴∭⊉5433)⪛⫼(⊲⪭(≴∭⊉5451⋘⨑⨽))","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":30921718,"operation_count":14,"complexity_ratio":2208694.1428571427,"tree":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":6032,"base":7}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":5108,"base":7},"right_expr":{"type":"numeric_atoms","value":1800,"base":7}}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":2566,"base":7},"right_expr":{"type":"numeric_atoms","value":3622,"base":7}},"right_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"numeric_atoms","value":1385,"base":7}}}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":5137,"base":7},"right_expr":{"type":"numeric_atoms","value":1718,"base":7}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":2354,"base":7},"right_expr":{"type":"numeric_atoms","value":1935,"base":7}}},"right_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"unary","operator":"⋘⨑⨽","unary_expr":{"type":"numeric_atoms","value":1947,"base":7}}}}},"used_operators":["I7sXao9hZE","ZvLB05nZmT","eLxqMNBOBk","aBQ6xLxuTc","oDCm7WA9JY","AFVx7xoS7T","rXAclfmB4M","hyuBjUqXlG","Ikt5ks8PT7","JclMnS0uGI","gJLn6v0xnP","k7HXdKtiEU","WmT3o8z6ya"],"dependent_operators":["dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","9HNa5Wba9A","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","sdazOOVcIp","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","eewbuw0ToL","t8gj7n24qd","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","i8ToyICDmI","xUOZtlo3hN","W4YGzv6Whe","DpFCA1CohY","N41Kp7NANJ","8w2t5hMYqp","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6032","layer":4},{"info":"compute unary expreesion, input=6032, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=36385024","layer":3},{"info":"number node, value=5108","layer":4},{"info":"number node, value=1800","layer":4},{"info":"compute binary expreesion, left_input=5108, right_input=1800, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"compute binary expreesion, left_input=36385024, right_input=-676, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":2},{"info":"number node, value=2566","layer":4},{"info":"number node, value=3622","layer":4},{"info":"compute binary expreesion, left_input=2566, right_input=3622, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"number node, value=1385","layer":4},{"info":"compute unary expreesion, input=1385, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=1472","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=1472, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=1472","layer":2},{"info":"compute binary expreesion, left_input=-204, right_input=1472, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":1},{"info":"number node, value=5137","layer":4},{"info":"number node, value=1718","layer":4},{"info":"compute binary expreesion, left_input=5137, right_input=1718, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=1718","layer":3},{"info":"number node, value=2354","layer":4},{"info":"number node, value=1935","layer":4},{"info":"compute binary expreesion, left_input=2354, right_input=1935, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=1718, right_input=1234, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-1234","layer":2},{"info":"number node, value=1947","layer":4},{"info":"compute unary expreesion, input=1947, op_id = WmT3o8z6ya, unary_op_definition = 'a⋘⨑⨽ = { ((a⫡⨏a)+(a≋⫹)) , if (⊄⩳↩a)!=44 ; (⋗⩬⋾(394+a)) , else }', output=10518","layer":3},{"info":"compute unary expreesion, input=10518, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-10692","layer":2},{"info":"compute binary expreesion, left_input=-1234, right_input=-10692, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=-1753","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1753, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(⫓⪴≴∭⊉23405)⫳≱↱≴∭⊉20615⇂≾⫗≴∭⊉5151⪁≴∭⊉10324⇌⫙⪟≴∭⊉13363⋻⩜⩜(⊤⊝≴∭⊉4016)⪁≴∭⊉20656⨔⇊≴∭⊉5003⩧⪆(≴∭⊉6602≥⨤⩑≴∭⊉5433)⪛⫼(⊲⪭(≴∭⊉5451⋘⨑⨽))=NaN","reverse_text":"NaN=(⫓⪴≴∭⊉23405)⫳≱↱≴∭⊉20615⇂≾⫗≴∭⊉5151⪁≴∭⊉10324⇌⫙⪟≴∭⊉13363⋻⩜⩜(⊤⊝≴∭⊉4016)⪁≴∭⊉20656⨔⇊≴∭⊉5003⩧⪆(≴∭⊉6602≥⨤⩑≴∭⊉5433)⪛⫼(⊲⪭(≴∭⊉5451⋘⨑⨽))","cot":[{"info":"⫓⪴≴∭⊉23405=≴∭⊉621160534","layer":3},{"info":"≴∭⊉20615⇂≾⫗≴∭⊉5151=≴∭⊉-1654","layer":3},{"info":"≴∭⊉621160534⫳≱↱≴∭⊉-1654=≴∭⊉-411","layer":2},{"info":"≴∭⊉10324⇌⫙⪟≴∭⊉13363=≴∭⊉221","layer":3},{"info":"⊤⊝≴∭⊉4016=≴∭⊉4202","layer":3},{"info":"≴∭⊉221⋻⩜⩜≴∭⊉4202=≴∭⊉4202","layer":2},{"info":"≴∭⊉-411⪁≴∭⊉4202=NaN","layer":1},{"info":"≴∭⊉20656⨔⇊≴∭⊉5003=≴∭⊉5003","layer":3},{"info":"≴∭⊉6602≥⨤⩑≴∭⊉5433=≴∭⊉3412","layer":3},{"info":"≴∭⊉5003⩧⪆≴∭⊉3412=≴∭⊉-3412","layer":2},{"info":"≴∭⊉5451⋘⨑⨽=≴∭⊉42444","layer":3},{"info":"⊲⪭≴∭⊉42444=≴∭⊉-43113","layer":2},{"info":"≴∭⊉-3412⪛⫼≴∭⊉-43113=≴∭⊉-5053","layer":1},{"info":"NaN⪁≴∭⊉-5053=NaN","layer":0}]}
+{"id":168,"expression_no_base_symbol":"⨈⪑((⇉-⫰$2066$)≳⇉$2377$⩣⫁∢$1517$)⫞⩸⩒(($1550$↓$5261$)∺≝⩲($1762$⩘$1015$))","expression":"⨈⪑((⇉-⫰≴∭⊉6011)≳⇉≴∭⊉6634⩣⫁∢≴∭⊉4265)⫞⩸⩒((≴∭⊉4343↓≴∭⊉21224)∺≝⩲(≴∭⊉5065⩘≴∭⊉2650))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":192681048,"operation_count":8,"complexity_ratio":24085131.0,"tree":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"numeric_atoms","value":2066,"base":7}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":2377,"base":7},"right_expr":{"type":"numeric_atoms","value":1517,"base":7}}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":1550,"base":7},"right_expr":{"type":"numeric_atoms","value":5261,"base":7}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":1762,"base":7},"right_expr":{"type":"numeric_atoms","value":1015,"base":7}}}}},"used_operators":["mp94q5OcYM","XGcMNugi78","V0kx6qeWkN","IGFM8TAlm9","JDUIKTTSIa","KPf6cnQVty","Af076pWI7l","cHh1gJQ2o6"],"dependent_operators":["YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","eH2TOUuTDT","eewbuw0ToL","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2066","layer":4},{"info":"compute unary expreesion, input=2066, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":3},{"info":"number node, value=2377","layer":4},{"info":"number node, value=1517","layer":4},{"info":"compute binary expreesion, left_input=2377, right_input=1517, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-4593","layer":3},{"info":"compute binary expreesion, left_input=20, right_input=-4593, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":2},{"info":"number node, value=1550","layer":4},{"info":"number node, value=5261","layer":4},{"info":"compute binary expreesion, left_input=1550, right_input=5261, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"number node, value=1762","layer":4},{"info":"number node, value=1015","layer":4},{"info":"compute binary expreesion, left_input=1762, right_input=1015, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=160, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"⨈⪑((⇉-⫰≴∭⊉6011)≳⇉≴∭⊉6634⩣⫁∢≴∭⊉4265)⫞⩸⩒((≴∭⊉4343↓≴∭⊉21224)∺≝⩲(≴∭⊉5065⩘≴∭⊉2650))=NaN","reverse_text":"NaN=⨈⪑((⇉-⫰≴∭⊉6011)≳⇉≴∭⊉6634⩣⫁∢≴∭⊉4265)⫞⩸⩒((≴∭⊉4343↓≴∭⊉21224)∺≝⩲(≴∭⊉5065⩘≴∭⊉2650))","cot":[{"info":"⇉-⫰≴∭⊉6011=≴∭⊉26","layer":3},{"info":"≴∭⊉6634⩣⫁∢≴∭⊉4265=≴∭⊉-16251","layer":3},{"info":"≴∭⊉26≳⇉≴∭⊉-16251=NaN","layer":2},{"info":"≴∭⊉4343↓≴∭⊉21224=≴∭⊉-251","layer":3},{"info":"≴∭⊉5065⩘≴∭⊉2650=≴∭⊉316","layer":3},{"info":"≴∭⊉-251∺≝⩲≴∭⊉316=≴∭⊉316","layer":2},{"info":"NaN⫞⩸⩒≴∭⊉316=NaN","layer":1},{"info":"⨈⪑NaN=NaN","layer":0}]}
+{"id":169,"expression_no_base_symbol":"((⨝⨆$1711$⫸⇳$1764$)⇣⩺⋵($1407$∙⊟$1800$)∇⊂⋱(↽≂$6989$))⋥⋵⩄(⇋↷($3122$⋻⩜⩜$4308$)⨥⫆($1332$⫁⪎$3302$))","expression":"((⨝⨆≴∭⊉4663⫸⇳≴∭⊉5100)⇣⩺⋵(≴∭⊉4050∙⊟≴∭⊉5151)∇⊂⋱(↽≂≴∭⊉26243))⋥⋵⩄(⇋↷(≴∭⊉12050⋻⩜⩜≴∭⊉15363)⨥⫆(≴∭⊉3612⫁⪎≴∭⊉12425))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":61923,"operation_count":11,"complexity_ratio":5629.363636363636,"tree":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":1711,"base":7},"right_expr":{"type":"numeric_atoms","value":1764,"base":7}}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":1407,"base":7},"right_expr":{"type":"numeric_atoms","value":1800,"base":7}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":6989,"base":7}}}},"right_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":3122,"base":7},"right_expr":{"type":"numeric_atoms","value":4308,"base":7}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":1332,"base":7},"right_expr":{"type":"numeric_atoms","value":3302,"base":7}}}}},"used_operators":["7t3wd0Fuz7","F4yD0voBRQ","bQ67fsrMVf","gx7XJ7hdpj","nhYeJWJD5X","SxTAKzQCrw","u6S6b8DprG","SWo3A1KBJH","yXekIHxTD4","oDCm7WA9JY","xRrnTEsQ6j"],"dependent_operators":["IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","tifHPKVTfV","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1711","layer":4},{"info":"number node, value=1764","layer":4},{"info":"compute binary expreesion, left_input=1711, right_input=1764, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=-209","layer":2},{"info":"number node, value=1407","layer":4},{"info":"number node, value=1800","layer":4},{"info":"compute binary expreesion, left_input=1407, right_input=1800, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=28137","layer":3},{"info":"number node, value=6989","layer":4},{"info":"compute unary expreesion, input=6989, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-13978","layer":3},{"info":"compute binary expreesion, left_input=28137, right_input=-13978, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=55728","layer":2},{"info":"compute binary expreesion, left_input=-209, right_input=55728, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-112230","layer":1},{"info":"number node, value=3122","layer":4},{"info":"number node, value=4308","layer":4},{"info":"compute binary expreesion, left_input=3122, right_input=4308, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=6244","layer":3},{"info":"number node, value=1332","layer":4},{"info":"number node, value=3302","layer":4},{"info":"compute binary expreesion, left_input=1332, right_input=3302, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-1970","layer":3},{"info":"compute binary expreesion, left_input=6244, right_input=-1970, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-112230, right_input=0, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((⨝⨆≴∭⊉4663⫸⇳≴∭⊉5100)⇣⩺⋵(≴∭⊉4050∙⊟≴∭⊉5151)∇⊂⋱(↽≂≴∭⊉26243))⋥⋵⩄(⇋↷(≴∭⊉12050⋻⩜⩜≴∭⊉15363)⨥⫆(≴∭⊉3612⫁⪎≴∭⊉12425))=NaN","reverse_text":"NaN=((⨝⨆≴∭⊉4663⫸⇳≴∭⊉5100)⇣⩺⋵(≴∭⊉4050∙⊟≴∭⊉5151)∇⊂⋱(↽≂≴∭⊉26243))⋥⋵⩄(⇋↷(≴∭⊉12050⋻⩜⩜≴∭⊉15363)⨥⫆(≴∭⊉3612⫁⪎≴∭⊉12425))","cot":[{"info":"≴∭⊉4663⫸⇳≴∭⊉5100=≴∭⊉0","layer":3},{"info":"⨝⨆≴∭⊉0=≴∭⊉-416","layer":2},{"info":"≴∭⊉4050∙⊟≴∭⊉5151=≴∭⊉145014","layer":3},{"info":"↽≂≴∭⊉26243=≴∭⊉-55516","layer":3},{"info":"≴∭⊉145014∇⊂⋱≴∭⊉-55516=≴∭⊉321321","layer":2},{"info":"≴∭⊉-416⇣⩺⋵≴∭⊉321321=≴∭⊉-645126","layer":1},{"info":"≴∭⊉12050⋻⩜⩜≴∭⊉15363=≴∭⊉24130","layer":3},{"info":"≴∭⊉3612⫁⪎≴∭⊉12425=≴∭⊉-5513","layer":3},{"info":"≴∭⊉24130⨥⫆≴∭⊉-5513=≴∭⊉0","layer":2},{"info":"⇋↷≴∭⊉0=≴∭⊉0","layer":1},{"info":"≴∭⊉-645126⋥⋵⩄≴∭⊉0=NaN","layer":0}]}
+{"id":170,"expression_no_base_symbol":"((($2217$↱$2486$)⊝⪿⪼$4763$⨻⩈⩔$1779$)≹⇙⪍($3501$≬⋮$1560$)⇻⋧≁($5145$⫌⩉⩟$3165$))⫲⨊","expression":"(((≴∭⊉6315↱≴∭⊉10151)⊝⪿⪼≴∭⊉16613⨻⩈⩔≴∭⊉5121)≹⇙⪍(≴∭⊉13131≬⋮≴∭⊉4356)⇻⋧≁(≴∭⊉21000⫌⩉⩟≴∭⊉12141))⫲⨊","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":223718,"operation_count":8,"complexity_ratio":27964.75,"tree":{"type":"unary","operator":"⫲⨊","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":2217,"base":7},"right_expr":{"type":"numeric_atoms","value":2486,"base":7}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":4763,"base":7},"right_expr":{"type":"numeric_atoms","value":1779,"base":7}}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":3501,"base":7},"right_expr":{"type":"numeric_atoms","value":1560,"base":7}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":5145,"base":7},"right_expr":{"type":"numeric_atoms","value":3165,"base":7}}}}},"used_operators":["CArV6hThFE","AHs5Up7iyr","3Oe9XWJUTD","SR5kFfdi6N","nEsXyWgiOK","jCPkEVoL5K","kbkesczE7y","XIIwhv8d0m"],"dependent_operators":["WmT3o8z6ya","uFcxV4UQCh","2DDjHMKMc0","B3sABdIn96","X99M06cbEe","dWAJyo7jo9","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2217","layer":4},{"info":"number node, value=2486","layer":4},{"info":"compute binary expreesion, left_input=2217, right_input=2486, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-6936","layer":3},{"info":"number node, value=4763","layer":4},{"info":"number node, value=1779","layer":4},{"info":"compute binary expreesion, left_input=4763, right_input=1779, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=29703","layer":3},{"info":"compute binary expreesion, left_input=-6936, right_input=29703, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=-94108","layer":2},{"info":"number node, value=3501","layer":4},{"info":"number node, value=1560","layer":4},{"info":"compute binary expreesion, left_input=3501, right_input=1560, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"number node, value=5145","layer":4},{"info":"number node, value=3165","layer":4},{"info":"compute binary expreesion, left_input=5145, right_input=3165, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=-50, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=-94108, right_input=-447, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = CArV6hThFE, unary_op_definition = 'a⫲⨊ = { ((332≫≃)⪹) , if a==35 ; ((a⋘⨑⨽)⋝⋈⪟(a⪛290)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(((≴∭⊉6315↱≴∭⊉10151)⊝⪿⪼≴∭⊉16613⨻⩈⩔≴∭⊉5121)≹⇙⪍(≴∭⊉13131≬⋮≴∭⊉4356)⇻⋧≁(≴∭⊉21000⫌⩉⩟≴∭⊉12141))⫲⨊=NaN","reverse_text":"NaN=(((≴∭⊉6315↱≴∭⊉10151)⊝⪿⪼≴∭⊉16613⨻⩈⩔≴∭⊉5121)≹⇙⪍(≴∭⊉13131≬⋮≴∭⊉4356)⇻⋧≁(≴∭⊉21000⫌⩉⩟≴∭⊉12141))⫲⨊","cot":[{"info":"≴∭⊉6315↱≴∭⊉10151=≴∭⊉-26136","layer":3},{"info":"≴∭⊉16613⨻⩈⩔≴∭⊉5121=≴∭⊉152412","layer":3},{"info":"≴∭⊉-26136⊝⪿⪼≴∭⊉152412=≴∭⊉-541240","layer":2},{"info":"≴∭⊉13131≬⋮≴∭⊉4356=≴∭⊉2350","layer":3},{"info":"≴∭⊉21000⫌⩉⩟≴∭⊉12141=≴∭⊉-101","layer":3},{"info":"≴∭⊉2350⇻⋧≁≴∭⊉-101=≴∭⊉-1206","layer":2},{"info":"≴∭⊉-541240≹⇙⪍≴∭⊉-1206=NaN","layer":1},{"info":"NaN⫲⨊=NaN","layer":0}]}
+{"id":171,"expression_no_base_symbol":"(≦∁($6281$⩌⋺$2542$)≎⪠($8958$∠↢$1818$))⊔($3087$↤⩊$1134$∙∹∝(⊽$3624$))∣(⨴⫝$1470$⨿$3331$)","expression":"(≦∁(≴∭⊉24212⩌⋺≴∭⊉10261)≎⪠(≴∭⊉35055∠↢≴∭⊉5205))⊔(≴∭⊉12000↤⩊≴∭⊉3210∙∹∝(⊽≴∭⊉13365))∣(⨴⫝≴∭⊉4200⨿≴∭⊉12466)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":21378,"operation_count":11,"complexity_ratio":1943.4545454545455,"tree":{"type":"binary","operator":"⊔","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":6281,"base":7},"right_expr":{"type":"numeric_atoms","value":2542,"base":7}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":8958,"base":7},"right_expr":{"type":"numeric_atoms","value":1818,"base":7}}}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":3087,"base":7},"right_expr":{"type":"numeric_atoms","value":1134,"base":7}},"right_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"numeric_atoms","value":3624,"base":7}}},"right_expr":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":1470,"base":7},"right_expr":{"type":"numeric_atoms","value":3331,"base":7}}}}},"used_operators":["E4l6HwMY31","9ICcGScMcE","aNhz54LH3e","g7Hmc5v1ko","KbjG8mgYpV","PPChnnnBFF","HmxsFra2vL","13rbtpv6ld","QxG7OkqoLX","SVb2v531z1","abYXlopdE0"],"dependent_operators":["W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6281","layer":4},{"info":"number node, value=2542","layer":4},{"info":"compute binary expreesion, left_input=6281, right_input=2542, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-8944","layer":3},{"info":"number node, value=8958","layer":4},{"info":"number node, value=1818","layer":4},{"info":"compute binary expreesion, left_input=8958, right_input=1818, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-60202","layer":3},{"info":"compute binary expreesion, left_input=-8944, right_input=-60202, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":2},{"info":"compute unary expreesion, input=19558, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=19558","layer":1},{"info":"number node, value=3087","layer":4},{"info":"number node, value=1134","layer":4},{"info":"compute binary expreesion, left_input=3087, right_input=1134, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"number node, value=3624","layer":4},{"info":"compute unary expreesion, input=3624, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=8770","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=8770, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=nan","layer":2},{"info":"number node, value=1470","layer":4},{"info":"number node, value=3331","layer":4},{"info":"compute binary expreesion, left_input=1470, right_input=3331, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"compute unary expreesion, input=-319, op_id = SVb2v531z1, unary_op_definition = '⨴⫝a = { ((⪨⨬(⇋↷a))≬⇓((a⋅⇍a)⨑≵⋬(∡178))) , if (a⪇≇⋚963)!=62 ; (((541⋛107)⩼⇪↪(⪭⩑⪱a))⋻⩜⩜((a⊕∕a)∼(459⨽6))) , else }', output=2828198","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2828198, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=19558, right_input=nan, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≦∁(≴∭⊉24212⩌⋺≴∭⊉10261)≎⪠(≴∭⊉35055∠↢≴∭⊉5205))⊔(≴∭⊉12000↤⩊≴∭⊉3210∙∹∝(⊽≴∭⊉13365))∣(⨴⫝≴∭⊉4200⨿≴∭⊉12466)=NaN","reverse_text":"NaN=(≦∁(≴∭⊉24212⩌⋺≴∭⊉10261)≎⪠(≴∭⊉35055∠↢≴∭⊉5205))⊔(≴∭⊉12000↤⩊≴∭⊉3210∙∹∝(⊽≴∭⊉13365))∣(⨴⫝≴∭⊉4200⨿≴∭⊉12466)","cot":[{"info":"≴∭⊉24212⩌⋺≴∭⊉10261=≴∭⊉-35035","layer":3},{"info":"≴∭⊉35055∠↢≴∭⊉5205=≴∭⊉-340342","layer":3},{"info":"≴∭⊉-35035≎⪠≴∭⊉-340342=≴∭⊉111010","layer":2},{"info":"≦∁≴∭⊉111010=≴∭⊉111010","layer":1},{"info":"≴∭⊉12000↤⩊≴∭⊉3210=NaN","layer":3},{"info":"⊽≴∭⊉13365=≴∭⊉34366","layer":3},{"info":"NaN∙∹∝≴∭⊉34366=NaN","layer":2},{"info":"≴∭⊉4200⨿≴∭⊉12466=≴∭⊉-634","layer":3},{"info":"⨴⫝≴∭⊉-634=≴∭⊉33016322","layer":2},{"info":"NaN∣≴∭⊉33016322=NaN","layer":1},{"info":"≴∭⊉111010⊔NaN=NaN","layer":0}]}
+{"id":172,"expression_no_base_symbol":"($2324$→⨶⪴$2208$⋣⋖($1784$∀⇚≩$3070$))∴(($1391$≦≮≮)⊠≄⫣)⊬⨰(($1017$⪉⨛$2049$∕⩚$2322$⪍↜⋙$1255$)⊪)","expression":"(≴∭⊉6530→⨶⪴≴∭⊉6303⋣⋖(≴∭⊉5126∀⇚≩≴∭⊉11644))∴((≴∭⊉4025≦≮≮)⊠≄⫣)⊬⨰((≴∭⊉2652⪉⨛≴∭⊉5655∕⩚≴∭⊉6525⪍↜⋙≴∭⊉3442)⊪)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":17464,"operation_count":11,"complexity_ratio":1587.6363636363637,"tree":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":2324,"base":7},"right_expr":{"type":"numeric_atoms","value":2208,"base":7}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1784,"base":7},"right_expr":{"type":"numeric_atoms","value":3070,"base":7}}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":1391,"base":7}}}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":1017,"base":7},"right_expr":{"type":"numeric_atoms","value":2049,"base":7}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":2322,"base":7},"right_expr":{"type":"numeric_atoms","value":1255,"base":7}}}}},"used_operators":["s3Fd5m9Dh2","hrf7POJlIJ","J0M6qkBnIM","bF6eod5Gvf","LRNGc0VcxI","DIvbN7qnHd","D4vGDi5EA2","zVYPLywUTj","z9ffQ9n5Zr","EWw2JM7wp4","L05ObWFQCd"],"dependent_operators":["23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","8w2t5hMYqp","9FxExcQeMw","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q"],"result":"≴∭⊉1326451002","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2324","layer":4},{"info":"number node, value=2208","layer":4},{"info":"compute binary expreesion, left_input=2324, right_input=2208, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-6624","layer":3},{"info":"number node, value=1784","layer":4},{"info":"number node, value=3070","layer":4},{"info":"compute binary expreesion, left_input=1784, right_input=3070, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-6624, right_input=nan, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=-6624","layer":2},{"info":"number node, value=1391","layer":4},{"info":"compute unary expreesion, input=1391, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-4173","layer":3},{"info":"compute unary expreesion, input=-4173, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-6624, right_input=0, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=-11600","layer":1},{"info":"number node, value=1017","layer":4},{"info":"number node, value=2049","layer":4},{"info":"compute binary expreesion, left_input=1017, right_input=2049, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=1217","layer":3},{"info":"number node, value=2322","layer":4},{"info":"number node, value=1255","layer":4},{"info":"compute binary expreesion, left_input=2322, right_input=1255, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=2134","layer":3},{"info":"compute binary expreesion, left_input=1217, right_input=2134, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-1220","layer":2},{"info":"compute unary expreesion, input=-1220, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=15025942","layer":1},{"info":"compute binary expreesion, left_input=-11600, right_input=15025942, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=60080568","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉6530→⨶⪴≴∭⊉6303⋣⋖(≴∭⊉5126∀⇚≩≴∭⊉11644))∴((≴∭⊉4025≦≮≮)⊠≄⫣)⊬⨰((≴∭⊉2652⪉⨛≴∭⊉5655∕⩚≴∭⊉6525⪍↜⋙≴∭⊉3442)⊪)=≴∭⊉1326451002","reverse_text":"≴∭⊉1326451002=(≴∭⊉6530→⨶⪴≴∭⊉6303⋣⋖(≴∭⊉5126∀⇚≩≴∭⊉11644))∴((≴∭⊉4025≦≮≮)⊠≄⫣)⊬⨰((≴∭⊉2652⪉⨛≴∭⊉5655∕⩚≴∭⊉6525⪍↜⋙≴∭⊉3442)⊪)","cot":[{"info":"≴∭⊉6530→⨶⪴≴∭⊉6303=≴∭⊉-25212","layer":3},{"info":"≴∭⊉5126∀⇚≩≴∭⊉11644=NaN","layer":3},{"info":"≴∭⊉-25212⋣⋖NaN=≴∭⊉-25212","layer":2},{"info":"≴∭⊉4025≦≮≮=≴∭⊉-15111","layer":3},{"info":"≴∭⊉-15111⊠≄⫣=≴∭⊉0","layer":2},{"info":"≴∭⊉-25212∴≴∭⊉0=≴∭⊉-45551","layer":1},{"info":"≴∭⊉2652⪉⨛≴∭⊉5655=≴∭⊉3356","layer":3},{"info":"≴∭⊉6525⪍↜⋙≴∭⊉3442=≴∭⊉6136","layer":3},{"info":"≴∭⊉3356∕⩚≴∭⊉6136=≴∭⊉-3362","layer":2},{"info":"≴∭⊉-3362⊪=≴∭⊉241501261","layer":1},{"info":"≴∭⊉-45551⊬⨰≴∭⊉241501261=≴∭⊉1326451002","layer":0}]}
+{"id":173,"expression_no_base_symbol":"($1009$⇍⊗$3381$≠≀($1677$⨸⪁$2109$)≭(⋠∜$2620$⋕⪉⪜$4894$))⫞⩸⩒((⨂⪏⇭($1913$↱$1213$))⪓⨏)","expression":"(≴∭⊉2641⇍⊗≴∭⊉12600≠≀(≴∭⊉4614⨸⪁≴∭⊉6102)≭(⋠∜≴∭⊉10432⋕⪉⪜≴∭⊉20161))⫞⩸⩒((⨂⪏⇭(≴∭⊉5402↱≴∭⊉3352))⪓⨏)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":10663,"operation_count":10,"complexity_ratio":1066.3,"tree":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":1009,"base":7},"right_expr":{"type":"numeric_atoms","value":3381,"base":7}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1677,"base":7},"right_expr":{"type":"numeric_atoms","value":2109,"base":7}}},"right_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":2620,"base":7},"right_expr":{"type":"numeric_atoms","value":4894,"base":7}}}},"right_expr":{"type":"unary","operator":"⪓⨏","unary_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":1913,"base":7},"right_expr":{"type":"numeric_atoms","value":1213,"base":7}}}}},"used_operators":["XGcMNugi78","rxpJgHHUmx","IwW236VD4Y","5uvYHDjeKN","g55IO6H4Gj","ZJpFhNJr3x","z6LnFrNh4i","4X9JU4Jbn6","AYdpE9sXAk","SR5kFfdi6N"],"dependent_operators":["VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","AHs5Up7iyr","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","W4YGzv6Whe","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","gJLn6v0xnP","nOKPl9n5zu","W9R8I5fN5A","rxpJgHHUmx","inkyxCbjAn","z63VuFQld9","AcOhelriW5","3sJ7IOPOlU","CoMdbyAt7R","cHh1gJQ2o6","xlXykHWxX1","Nsiff2A1zJ","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1009","layer":4},{"info":"number node, value=3381","layer":4},{"info":"compute binary expreesion, left_input=1009, right_input=3381, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"number node, value=1677","layer":4},{"info":"number node, value=2109","layer":4},{"info":"compute binary expreesion, left_input=1677, right_input=2109, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=7572","layer":3},{"info":"compute binary expreesion, left_input=-244, right_input=7572, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=794","layer":2},{"info":"number node, value=2620","layer":4},{"info":"number node, value=4894","layer":4},{"info":"compute binary expreesion, left_input=2620, right_input=4894, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":3},{"info":"compute unary expreesion, input=204, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=3100","layer":2},{"info":"compute binary expreesion, left_input=794, right_input=3100, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"number node, value=1913","layer":4},{"info":"number node, value=1213","layer":4},{"info":"compute binary expreesion, left_input=1913, right_input=1213, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-3117","layer":3},{"info":"compute unary expreesion, input=-3117, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=-10330","layer":2},{"info":"compute unary expreesion, input=-10330, op_id = 4X9JU4Jbn6, unary_op_definition = 'a⪓⨏ = { (((⨣⨃⇪a)≭(a⊊))⫢⨠((a⪇≇⋚a)⩘(413≥⨤⩑a))) , if (⇁⨣⪵a)<1 ; ((⋗⩴⪓(191∧))⫢⨠(⨛(a⊴a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉2641⇍⊗≴∭⊉12600≠≀(≴∭⊉4614⨸⪁≴∭⊉6102)≭(⋠∜≴∭⊉10432⋕⪉⪜≴∭⊉20161))⫞⩸⩒((⨂⪏⇭(≴∭⊉5402↱≴∭⊉3352))⪓⨏)=NaN","reverse_text":"NaN=(≴∭⊉2641⇍⊗≴∭⊉12600≠≀(≴∭⊉4614⨸⪁≴∭⊉6102)≭(⋠∜≴∭⊉10432⋕⪉⪜≴∭⊉20161))⫞⩸⩒((⨂⪏⇭(≴∭⊉5402↱≴∭⊉3352))⪓⨏)","cot":[{"info":"≴∭⊉2641⇍⊗≴∭⊉12600=≴∭⊉-466","layer":3},{"info":"≴∭⊉4614⨸⪁≴∭⊉6102=≴∭⊉31035","layer":3},{"info":"≴∭⊉-466≠≀≴∭⊉31035=≴∭⊉2213","layer":2},{"info":"≴∭⊉10432⋕⪉⪜≴∭⊉20161=≴∭⊉411","layer":3},{"info":"⋠∜≴∭⊉411=≴∭⊉12016","layer":2},{"info":"≴∭⊉2213≭≴∭⊉12016=NaN","layer":1},{"info":"≴∭⊉5402↱≴∭⊉3352=≴∭⊉-12042","layer":3},{"info":"⨂⪏⇭≴∭⊉-12042=≴∭⊉-42055","layer":2},{"info":"≴∭⊉-42055⪓⨏=NaN","layer":1},{"info":"NaN⫞⩸⩒NaN=NaN","layer":0}]}
+{"id":174,"expression_no_base_symbol":"⪸((($2698$⨵⪆$5728$)≥⨤⩑(≀↧⇸$1174$))≳⇉(($1017$⊧↖)⫰⋱(⩒∊$1139$)))","expression":"⪸(((≴∭⊉10603⨵⪆≴∭⊉22462)≥⨤⩑(≀↧⇸≴∭⊉3265))≳⇉((≴∭⊉2652⊧↖)⫰⋱(⩒∊≴∭⊉3215)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":6210119,"operation_count":8,"complexity_ratio":776264.875,"tree":{"type":"unary","operator":"⪸","unary_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2698,"base":7},"right_expr":{"type":"numeric_atoms","value":5728,"base":7}},"right_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"numeric_atoms","value":1174,"base":7}}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"unary","operator":"⊧↖","unary_expr":{"type":"numeric_atoms","value":1017,"base":7}},"right_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"numeric_atoms","value":1139,"base":7}}}}},"used_operators":["86A5ENbKR9","V0kx6qeWkN","gJLn6v0xnP","2DQ55sFlQl","ljTHtUsqzn","6o9Blt3TJ6","EKiFHuOFxO","qazvmhNBbN"],"dependent_operators":["Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","rysDP5nf3Z","t8gj7n24qd","XPYlsWDdGa","23Mk6UjR3U","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","5twsqlHp2o","dfKe02y8D2","8HhzD0ZcuI","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2698","layer":4},{"info":"number node, value=5728","layer":4},{"info":"compute binary expreesion, left_input=2698, right_input=5728, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1174","layer":4},{"info":"compute unary expreesion, input=1174, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=2348","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=2348, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":2},{"info":"number node, value=1017","layer":4},{"info":"compute unary expreesion, input=1017, op_id = EKiFHuOFxO, unary_op_definition = 'a⊧↖ = { ((a⨽a)⊢(a⫚↹⊑79)) }', output=6208964","layer":3},{"info":"number node, value=1139","layer":4},{"info":"compute unary expreesion, input=1139, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=1521","layer":3},{"info":"compute binary expreesion, left_input=6208964, right_input=1521, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-6208931","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=-6208931, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"⪸(((≴∭⊉10603⨵⪆≴∭⊉22462)≥⨤⩑(≀↧⇸≴∭⊉3265))≳⇉((≴∭⊉2652⊧↖)⫰⋱(⩒∊≴∭⊉3215)))=NaN","reverse_text":"NaN=⪸(((≴∭⊉10603⨵⪆≴∭⊉22462)≥⨤⩑(≀↧⇸≴∭⊉3265))≳⇉((≴∭⊉2652⊧↖)⫰⋱(⩒∊≴∭⊉3215)))","cot":[{"info":"≴∭⊉10603⨵⪆≴∭⊉22462=≴∭⊉316","layer":3},{"info":"≀↧⇸≴∭⊉3265=≴∭⊉6563","layer":3},{"info":"≴∭⊉316≥⨤⩑≴∭⊉6563=≴∭⊉3412","layer":2},{"info":"≴∭⊉2652⊧↖=≴∭⊉103526636","layer":3},{"info":"⩒∊≴∭⊉3215=≴∭⊉4302","layer":3},{"info":"≴∭⊉103526636⫰⋱≴∭⊉4302=≴∭⊉-103526561","layer":2},{"info":"≴∭⊉3412≳⇉≴∭⊉-103526561=NaN","layer":1},{"info":"⪸NaN=NaN","layer":0}]}
+{"id":175,"expression_no_base_symbol":"($4671$⫩)⪶≀⋏($1517$⩒⫫$6766$)∲⫓(⇐($4033$⨎$6620$))⋷(⇁⨣⪵$2235$)+⪬∐$1029$∋$5448$⨪↰⇹($1804$⪡$3481$⪭≯($6147$∙⊟$1125$))","expression":"(≴∭⊉16422⫩)⪶≀⋏(≴∭⊉4265⩒⫫≴∭⊉25504)∲⫓(⇐(≴∭⊉14521⨎≴∭⊉25205))⋷(⇁⨣⪵≴∭⊉6342)+⪬∐≴∭⊉3000∋≴∭⊉21612⨪↰⇹(≴∭⊉5155⪡≴∭⊉13102⪭≯(≴∭⊉23631∙⊟≴∭⊉3165))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":11286,"operation_count":14,"complexity_ratio":806.1428571428571,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"unary","operator":"⫩","unary_expr":{"type":"numeric_atoms","value":4671,"base":7}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":1517,"base":7},"right_expr":{"type":"numeric_atoms","value":6766,"base":7}}},"right_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":4033,"base":7},"right_expr":{"type":"numeric_atoms","value":6620,"base":7}}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":2235,"base":7}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":1029,"base":7},"right_expr":{"type":"numeric_atoms","value":5448,"base":7}}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":1804,"base":7},"right_expr":{"type":"numeric_atoms","value":3481,"base":7}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":6147,"base":7},"right_expr":{"type":"numeric_atoms","value":1125,"base":7}}}}},"used_operators":["23Mk6UjR3U","i8ToyICDmI","zR4jO40bMj","6aG7x05OhS","KFSx94NKJn","nmZMaaE0Q9","rJVOvQCfKK","tmPS8pqC7x","2GS7woTJqF","inkyxCbjAn","ukq6epAj5P","XAx5wpdLa6","oraRL2iQuh","SxTAKzQCrw"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","dWAJyo7jo9","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rJVOvQCfKK","g55IO6H4Gj","D4vGDi5EA2","B5M0gjZbta","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4671","layer":4},{"info":"compute unary expreesion, input=4671, op_id = 6aG7x05OhS, unary_op_definition = 'a⫩ = { (a⪢a) }', output=nan","layer":3},{"info":"number node, value=1517","layer":4},{"info":"number node, value=6766","layer":4},{"info":"compute binary expreesion, left_input=1517, right_input=6766, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=1215","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1215, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=nan","layer":2},{"info":"number node, value=4033","layer":4},{"info":"number node, value=6620","layer":4},{"info":"compute binary expreesion, left_input=4033, right_input=6620, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=6620","layer":3},{"info":"compute unary expreesion, input=6620, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=2334","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2334, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"number node, value=2235","layer":4},{"info":"compute unary expreesion, input=2235, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=1029","layer":4},{"info":"number node, value=5448","layer":4},{"info":"compute binary expreesion, left_input=1029, right_input=5448, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=11288092","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=11288092, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=nan","layer":2},{"info":"number node, value=1804","layer":4},{"info":"number node, value=3481","layer":4},{"info":"compute binary expreesion, left_input=1804, right_input=3481, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"number node, value=6147","layer":4},{"info":"number node, value=1125","layer":4},{"info":"compute binary expreesion, left_input=6147, right_input=1125, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=89757","layer":3},{"info":"compute binary expreesion, left_input=107, right_input=89757, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=0","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉16422⫩)⪶≀⋏(≴∭⊉4265⩒⫫≴∭⊉25504)∲⫓(⇐(≴∭⊉14521⨎≴∭⊉25205))⋷(⇁⨣⪵≴∭⊉6342)+⪬∐≴∭⊉3000∋≴∭⊉21612⨪↰⇹(≴∭⊉5155⪡≴∭⊉13102⪭≯(≴∭⊉23631∙⊟≴∭⊉3165))=≴∭⊉0","reverse_text":"≴∭⊉0=(≴∭⊉16422⫩)⪶≀⋏(≴∭⊉4265⩒⫫≴∭⊉25504)∲⫓(⇐(≴∭⊉14521⨎≴∭⊉25205))⋷(⇁⨣⪵≴∭⊉6342)+⪬∐≴∭⊉3000∋≴∭⊉21612⨪↰⇹(≴∭⊉5155⪡≴∭⊉13102⪭≯(≴∭⊉23631∙⊟≴∭⊉3165))","cot":[{"info":"≴∭⊉16422⫩=NaN","layer":3},{"info":"≴∭⊉4265⩒⫫≴∭⊉25504=≴∭⊉3354","layer":3},{"info":"NaN⪶≀⋏≴∭⊉3354=NaN","layer":2},{"info":"≴∭⊉14521⨎≴∭⊉25205=��∭⊉25205","layer":3},{"info":"⇐≴∭⊉25205=≴∭⊉6543","layer":2},{"info":"NaN∲⫓≴∭⊉6543=≴∭⊉0","layer":1},{"info":"⇁⨣⪵≴∭⊉6342=NaN","layer":3},{"info":"≴∭⊉3000∋≴∭⊉21612=≴∭⊉164642614","layer":3},{"info":"NaN+⪬∐≴∭⊉164642614=NaN","layer":2},{"info":"≴∭⊉5155⪡≴∭⊉13102=≴∭⊉212","layer":3},{"info":"≴∭⊉23631∙⊟≴∭⊉3165=≴∭⊉522453","layer":3},{"info":"≴∭⊉212⪭≯≴∭⊉522453=NaN","layer":2},{"info":"NaN⨪↰⇹NaN=NaN","layer":1},{"info":"≴∭⊉0⋷NaN=≴∭⊉0","layer":0}]}
+{"id":176,"expression_no_base_symbol":"((($1251$⩺⪪$1954$)⩺⪪($3523$⫿))⋥≓≎($1876$⪛$4344$)∴($3401$≹⇙⪍$1501$))⩧⪆((⨡↴(∤↝$4444$))∕⩚($5572$≎⊠⪸$1181$)⨪↰⇹($1021$↡⊰⫅$1001$))","expression":"(((≴∭⊉3435⩺⪪≴∭⊉5461)⩺⪪(≴∭⊉13162⫿))⋥≓≎(≴∭⊉5320⪛≴∭⊉15444)∴(≴∭⊉12626≹⇙⪍≴∭⊉4243))⩧⪆((⨡↴(∤↝≴∭⊉15646))∕⩚(≴∭⊉22150≎⊠⪸≴∭⊉3305)⨪↰⇹(≴∭⊉2656↡⊰⫅≴∭⊉2630))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":14594,"operation_count":14,"complexity_ratio":1042.4285714285713,"tree":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":1251,"base":7},"right_expr":{"type":"numeric_atoms","value":1954,"base":7}},"right_expr":{"type":"unary","operator":"⫿","unary_expr":{"type":"numeric_atoms","value":3523,"base":7}}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1876,"base":7},"right_expr":{"type":"numeric_atoms","value":4344,"base":7}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":3401,"base":7},"right_expr":{"type":"numeric_atoms","value":1501,"base":7}}}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"numeric_atoms","value":4444,"base":7}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":5572,"base":7},"right_expr":{"type":"numeric_atoms","value":1181,"base":7}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":1021,"base":7},"right_expr":{"type":"numeric_atoms","value":1001,"base":7}}}}},"used_operators":["Ikt5ks8PT7","Qy55tPpLXF","uvdQJvN4PV","9tKT6PmtkH","hrf7POJlIJ","uFcxV4UQCh","AHs5Up7iyr","z9ffQ9n5Zr","liw5iZPkLH","3UMq87Qwqg","tmPS8pqC7x","bJkvcejdHO","VCtxkLNOzz"],"dependent_operators":["eewbuw0ToL","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","DpFCA1CohY","9ICcGScMcE","f6k1SAg4EE","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","dWAJyo7jo9","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","W4YGzv6Whe","P8v4zCKN1o","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","rJVOvQCfKK","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn"],"result":"≴∭⊉1264","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1251","layer":4},{"info":"number node, value=1954","layer":4},{"info":"compute binary expreesion, left_input=1251, right_input=1954, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":3},{"info":"number node, value=3523","layer":4},{"info":"compute unary expreesion, input=3523, op_id = 9tKT6PmtkH, unary_op_definition = 'a⫿ = { (≦∁a) , if (⋗⩬⋾a)<1 ; (a⪒a) , else }', output=3523","layer":3},{"info":"compute binary expreesion, left_input=-1818, right_input=3523, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":2},{"info":"number node, value=1876","layer":4},{"info":"number node, value=4344","layer":4},{"info":"compute binary expreesion, left_input=1876, right_input=4344, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1876","layer":3},{"info":"number node, value=3401","layer":4},{"info":"number node, value=1501","layer":4},{"info":"compute binary expreesion, left_input=3401, right_input=1501, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1876, right_input=nan, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=5400","layer":2},{"info":"compute binary expreesion, left_input=-1818, right_input=5400, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":1},{"info":"number node, value=4444","layer":4},{"info":"compute unary expreesion, input=4444, op_id = 3UMq87Qwqg, unary_op_definition = '∤↝a = { a , if ((a⊬⨰244)<=56 or (⫇a)>308 or (a⨐673)<=60) ; (((↩⪖a)⩼⇪↪(57∝206))↺(↩(⊲⪭a))) , else }', output=4444","layer":3},{"info":"compute unary expreesion, input=4444, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=5493","layer":2},{"info":"number node, value=5572","layer":4},{"info":"number node, value=1181","layer":4},{"info":"compute binary expreesion, left_input=5572, right_input=1181, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1442675","layer":3},{"info":"number node, value=1021","layer":4},{"info":"number node, value=1001","layer":4},{"info":"compute binary expreesion, left_input=1021, right_input=1001, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=2002","layer":3},{"info":"compute binary expreesion, left_input=1442675, right_input=2002, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=5493, right_input=nan, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=-487, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=487","layer":0}],"base":7,"result_base":7,"text":"(((≴∭⊉3435⩺⪪≴∭⊉5461)⩺⪪(≴∭⊉13162⫿))⋥≓≎(≴∭⊉5320⪛≴∭⊉15444)∴(≴∭⊉12626≹⇙⪍≴∭⊉4243))⩧⪆((⨡↴(∤↝≴∭⊉15646))∕⩚(≴∭⊉22150≎⊠⪸≴∭⊉3305)⨪↰⇹(≴∭⊉2656↡⊰⫅≴∭⊉2630))=≴∭⊉1264","reverse_text":"≴∭⊉1264=(((≴∭⊉3435⩺⪪≴∭⊉5461)⩺⪪(≴∭⊉13162⫿))⋥≓≎(≴∭⊉5320⪛≴∭⊉15444)∴(≴∭⊉12626≹⇙⪍≴∭⊉4243))⩧⪆((⨡↴(∤↝≴∭⊉15646))∕⩚(≴∭⊉22150≎⊠⪸≴∭⊉3305)⨪↰⇹(≴∭⊉2656↡⊰⫅≴∭⊉2630))","cot":[{"info":"≴∭⊉3435⩺⪪≴∭⊉5461=≴∭⊉-5205","layer":3},{"info":"≴∭⊉13162⫿=≴∭⊉13162","layer":3},{"info":"≴∭⊉-5205⩺⪪≴∭⊉13162=≴∭⊉-5205","layer":2},{"info":"≴∭⊉5320⪛≴∭⊉15444=≴∭⊉5320","layer":3},{"info":"≴∭⊉12626≹⇙⪍≴∭⊉4243=NaN","layer":3},{"info":"≴∭⊉5320∴NaN=≴∭⊉21513","layer":2},{"info":"≴∭⊉-5205⋥≓≎≴∭⊉21513=≴∭⊉124","layer":1},{"info":"∤↝≴∭⊉15646=≴∭⊉15646","layer":3},{"info":"⨡↴≴∭⊉15646=≴∭⊉22005","layer":2},{"info":"≴∭⊉22150≎⊠⪸≴∭⊉3305=≴∭⊉15156023","layer":3},{"info":"≴∭⊉2656↡⊰⫅≴∭⊉2630=≴∭⊉5560","layer":3},{"info":"≴∭⊉15156023⨪↰⇹≴∭⊉5560=NaN","layer":2},{"info":"≴∭⊉22005∕⩚NaN=≴∭⊉-1264","layer":1},{"info":"≴∭⊉124⩧⪆≴∭⊉-1264=≴∭⊉1264","layer":0}]}
+{"id":177,"expression_no_base_symbol":"⩷⨜⫀(⊗($2531$⊋$1357$)⨂≜($4495$/$1051$))","expression":"⩷⨜⫀(⊗(≴∭⊉10244⊋≴∭⊉3646)⨂≜(≴∭⊉16051/≴∭⊉3031))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":15486493,"operation_count":5,"complexity_ratio":3097298.6,"tree":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":2531,"base":7},"right_expr":{"type":"numeric_atoms","value":1357,"base":7}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":4495,"base":7},"right_expr":{"type":"numeric_atoms","value":1051,"base":7}}}}},"used_operators":["CDi0ktkjQ4","RhiyfpczSx","k1SHOSEABc","W4tP9CfskL","XhwjNDsVaA"],"dependent_operators":["ruOEQAzv1W","nhYeJWJD5X","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","rysDP5nf3Z"],"result":"≴∭⊉-251","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2531","layer":4},{"info":"number node, value=1357","layer":4},{"info":"compute binary expreesion, left_input=2531, right_input=1357, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=12387156","layer":3},{"info":"number node, value=4495","layer":4},{"info":"number node, value=1051","layer":4},{"info":"compute binary expreesion, left_input=4495, right_input=1051, op_id = XhwjNDsVaA binary_op_definition= 'None', output=4","layer":3},{"info":"compute binary expreesion, left_input=12387156, right_input=4, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-134","layer":0}],"base":7,"result_base":7,"text":"⩷⨜⫀(⊗(≴∭⊉10244⊋≴∭⊉3646)⨂≜(≴∭⊉16051/≴∭⊉3031))=≴∭⊉-251","reverse_text":"≴∭⊉-251=⩷⨜⫀(⊗(≴∭⊉10244⊋≴∭⊉3646)⨂≜(≴∭⊉16051/≴∭⊉3031))","cot":[{"info":"≴∭⊉10244⊋≴∭⊉3646=≴∭⊉210201105","layer":3},{"info":"≴∭⊉16051/≴∭⊉3031=≴∭⊉4","layer":3},{"info":"≴∭⊉210201105⨂≜≴∭⊉4=NaN","layer":2},{"info":"⊗NaN=NaN","layer":1},{"info":"⩷⨜⫀NaN=≴∭⊉-251","layer":0}]}
+{"id":178,"expression_no_base_symbol":"(⨆≐≲(($1499$⇮⋭$4852$)⊬⨰($1077$⪮%⊝$5256$)))∸","expression":"(⨆≐≲((≴∭⊉4241⇮⋭≴∭⊉20101)⊬⨰(≴∭⊉3066⪮%⊝≴∭⊉21216)))∸","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":357,"operation_count":5,"complexity_ratio":71.4,"tree":{"type":"unary","operator":"∸","unary_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":1499,"base":7},"right_expr":{"type":"numeric_atoms","value":4852,"base":7}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1077,"base":7},"right_expr":{"type":"numeric_atoms","value":5256,"base":7}}}}},"used_operators":["o20kRiQErp","Bi9z9uYZqW","s3Fd5m9Dh2","vkpjKywKVM","IWmyXbctLI"],"dependent_operators":["tmPS8pqC7x","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"≴∭⊉342","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1499","layer":4},{"info":"number node, value=4852","layer":4},{"info":"compute binary expreesion, left_input=1499, right_input=4852, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"number node, value=1077","layer":4},{"info":"number node, value=5256","layer":4},{"info":"compute binary expreesion, left_input=1077, right_input=5256, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2470","layer":3},{"info":"compute binary expreesion, left_input=-473, right_input=2470, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=8934","layer":2},{"info":"compute unary expreesion, input=8934, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=97440216","layer":1},{"info":"compute unary expreesion, input=97440216, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":0}],"base":7,"result_base":7,"text":"(⨆≐≲((≴∭⊉4241⇮⋭≴∭⊉20101)⊬⨰(≴∭⊉3066⪮%⊝≴∭⊉21216)))∸=≴∭⊉342","reverse_text":"≴∭⊉342=(⨆≐≲((≴∭⊉4241⇮⋭≴∭⊉20101)⊬⨰(≴∭⊉3066⪮%⊝≴∭⊉21216)))∸","cot":[{"info":"≴∭⊉4241⇮⋭≴∭⊉20101=≴∭⊉-1244","layer":3},{"info":"≴∭⊉3066⪮%⊝≴∭⊉21216=≴∭⊉10126","layer":3},{"info":"≴∭⊉-1244⊬⨰≴∭⊉10126=≴∭⊉35022","layer":2},{"info":"⨆≐≲≴∭⊉35022=≴∭⊉2262141156","layer":1},{"info":"≴∭⊉2262141156∸=≴∭⊉342","layer":0}]}
+{"id":179,"expression_no_base_symbol":"⇺⋃(($4121$⨁⊸⫻)⇂≾⫗($2429$≌$1732$)↺(⇋⊎⋝$6004$)⪭≯($1264$⫌⩉⩟$3249$))","expression":"⇺⋃((≴∭⊉15005⨁⊸⫻)⇂≾⫗(≴∭⊉10040≌≴∭⊉5023)↺(⇋⊎⋝≴∭⊉23335)⪭≯(≴∭⊉3454⫌⩉⩟≴∭⊉12321))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":24703,"operation_count":8,"complexity_ratio":3087.875,"tree":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":4121,"base":7}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":2429,"base":7},"right_expr":{"type":"numeric_atoms","value":1732,"base":7}}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"numeric_atoms","value":6004,"base":7}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":1264,"base":7},"right_expr":{"type":"numeric_atoms","value":3249,"base":7}}}}},"used_operators":["E5v5B3UAjG","7j4O788W3g","aBQ6xLxuTc","glklzrTFfD","lyWz822IDG","XAx5wpdLa6","CzM2PEoXns","XIIwhv8d0m"],"dependent_operators":["bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","rysDP5nf3Z","t8gj7n24qd","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","W4YGzv6Whe","rysDP5nf3Z","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","dWAJyo7jo9","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=4121","layer":4},{"info":"compute unary expreesion, input=4121, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=4121","layer":3},{"info":"number node, value=2429","layer":4},{"info":"number node, value=1732","layer":4},{"info":"compute binary expreesion, left_input=2429, right_input=1732, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=4121, right_input=nan, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=nan","layer":2},{"info":"number node, value=6004","layer":4},{"info":"compute unary expreesion, input=6004, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":3},{"info":"number node, value=1264","layer":4},{"info":"number node, value=3249","layer":4},{"info":"compute binary expreesion, left_input=1264, right_input=3249, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-50, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"⇺⋃((≴∭⊉15005⨁⊸⫻)⇂≾⫗(≴∭⊉10040≌≴∭⊉5023)↺(⇋⊎⋝≴∭⊉23335)⪭≯(≴∭⊉3454⫌⩉⩟≴∭⊉12321))=NaN","reverse_text":"NaN=⇺⋃((≴∭⊉15005⨁⊸⫻)⇂≾⫗(≴∭⊉10040≌≴∭⊉5023)↺(⇋⊎⋝≴∭⊉23335)⪭≯(≴∭⊉3454⫌⩉⩟≴∭⊉12321))","cot":[{"info":"≴∭⊉15005⨁⊸⫻=≴∭⊉15005","layer":3},{"info":"≴∭⊉10040≌≴∭⊉5023=NaN","layer":3},{"info":"≴∭⊉15005⇂≾⫗NaN=NaN","layer":2},{"info":"⇋⊎⋝≴∭⊉23335=NaN","layer":3},{"info":"≴∭⊉3454⫌⩉⩟≴∭⊉12321=≴∭⊉-101","layer":3},{"info":"NaN⪭≯≴∭⊉-101=NaN","layer":2},{"info":"NaN↺NaN=NaN","layer":1},{"info":"⇺⋃NaN=NaN","layer":0}]}
+{"id":180,"expression_no_base_symbol":"⇺⋃(($2113$∲⫓$2456$)⫁⪎($2370$∙∹∝$3902$)≹⇙⪍(⋃($1041$≥⨤⩑$2598$)))","expression":"⇺⋃((≴∭⊉6106∲⫓≴∭⊉10106)⫁⪎(≴∭⊉6624∙∹∝≴∭⊉14243)≹⇙⪍(⋃(≴∭⊉3015≥⨤⩑≴∭⊉10401)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":86,"operation_count":7,"complexity_ratio":12.285714285714286,"tree":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2113,"base":7},"right_expr":{"type":"numeric_atoms","value":2456,"base":7}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":2370,"base":7},"right_expr":{"type":"numeric_atoms","value":3902,"base":7}}},"right_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":1041,"base":7},"right_expr":{"type":"numeric_atoms","value":2598,"base":7}}}}},"used_operators":["E5v5B3UAjG","AHs5Up7iyr","xRrnTEsQ6j","i8ToyICDmI","HmxsFra2vL","3mBM5G4a3l","gJLn6v0xnP"],"dependent_operators":["bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","dWAJyo7jo9","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","g55IO6H4Gj","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2113","layer":4},{"info":"number node, value=2456","layer":4},{"info":"compute binary expreesion, left_input=2113, right_input=2456, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=2370","layer":4},{"info":"number node, value=3902","layer":4},{"info":"compute binary expreesion, left_input=2370, right_input=3902, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=0","layer":2},{"info":"number node, value=1041","layer":4},{"info":"number node, value=2598","layer":4},{"info":"compute binary expreesion, left_input=1041, right_input=2598, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=2570","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=2570, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"⇺⋃((≴∭⊉6106∲⫓≴∭⊉10106)⫁⪎(≴∭⊉6624∙∹∝≴∭⊉14243)≹⇙⪍(⋃(≴∭⊉3015≥⨤⩑≴∭⊉10401)))=NaN","reverse_text":"NaN=⇺⋃((≴∭⊉6106∲⫓≴∭⊉10106)⫁⪎(≴∭⊉6624∙∹∝≴∭⊉14243)≹⇙⪍(⋃(≴∭⊉3015≥⨤⩑≴∭⊉10401)))","cot":[{"info":"≴∭⊉6106∲⫓≴∭⊉10106=≴∭⊉0","layer":3},{"info":"≴∭⊉6624∙∹∝≴∭⊉14243=≴∭⊉0","layer":3},{"info":"≴∭⊉0⫁⪎≴∭⊉0=≴∭⊉0","layer":2},{"info":"≴∭⊉3015≥⨤⩑≴∭⊉10401=≴∭⊉3412","layer":3},{"info":"⋃≴∭⊉3412=≴∭⊉10331","layer":2},{"info":"≴∭⊉0≹⇙⪍≴∭⊉10331=NaN","layer":1},{"info":"⇺⋃NaN=NaN","layer":0}]}
+{"id":181,"expression_no_base_symbol":"(⊀($5947$≎⊠⪸$7096$))≧⫂∧((≑⋹$2480$)%(⪁⇼$1034$))↺($1862$∓⋝$4756$⇼⇔∾($1107$⫚⫇))⩺⪪(∓⪦($3707$⋝⋈⪟$2760$))","expression":"(⊀(≴∭⊉23224≎⊠⪸≴∭⊉26455))≧⫂∧((≑⋹≴∭⊉10142)%(⪁⇼≴∭⊉3005))↺(≴∭⊉5300∓⋝≴∭⊉16603⇼⇔∾(≴∭⊉3141⫚⫇))⩺⪪(∓⪦(≴∭⊉13544⋝⋈⪟≴∭⊉11022))","highest_n_order":3,"priority_hierarchical_complexity":12,"normalized_expansion_degree":611,"operation_count":13,"complexity_ratio":47.0,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":5947,"base":7},"right_expr":{"type":"numeric_atoms","value":7096,"base":7}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"numeric_atoms","value":2480,"base":7}},"right_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"numeric_atoms","value":1034,"base":7}}}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":1862,"base":7},"right_expr":{"type":"numeric_atoms","value":4756,"base":7}},"right_expr":{"type":"unary","operator":"⫚⫇","unary_expr":{"type":"numeric_atoms","value":1107,"base":7}}},"right_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3707,"base":7},"right_expr":{"type":"numeric_atoms","value":2760,"base":7}}}}},"used_operators":["7j4O788W3g","Ph9nP6C5qx","oPMjh9089D","bJkvcejdHO","k8jYdgA6NY","6B9nyZLogK","ZNVVrZ94lY","uvdQJvN4PV","tifHPKVTfV","PoHhknlbAi","SdCjLnB6rR","D309nIvmXG","2DDjHMKMc0"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","2td37pGCOC","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","W4YGzv6Whe","t8gj7n24qd"],"result":"≴∭⊉-5205","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5947","layer":4},{"info":"number node, value=7096","layer":4},{"info":"compute binary expreesion, left_input=5947, right_input=7096, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1539800","layer":3},{"info":"compute unary expreesion, input=1539800, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=6158938","layer":2},{"info":"number node, value=2480","layer":4},{"info":"compute unary expreesion, input=2480, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=1650","layer":3},{"info":"number node, value=1034","layer":4},{"info":"compute unary expreesion, input=1034, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":3},{"info":"compute binary expreesion, left_input=1650, right_input=422, op_id = k8jYdgA6NY binary_op_definition= 'None', output=384","layer":2},{"info":"compute binary expreesion, left_input=6158938, right_input=384, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-89","layer":1},{"info":"number node, value=1862","layer":4},{"info":"number node, value=4756","layer":4},{"info":"compute binary expreesion, left_input=1862, right_input=4756, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"number node, value=1107","layer":4},{"info":"compute unary expreesion, input=1107, op_id = SdCjLnB6rR, unary_op_definition = 'a⫚⫇ = { ((⨞⊢87)⨸⪁((⩦⩻⨪a)≧⫂∧a)) }', output=746","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=746, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=679","layer":2},{"info":"number node, value=3707","layer":4},{"info":"number node, value=2760","layer":4},{"info":"compute binary expreesion, left_input=3707, right_input=2760, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3707","layer":3},{"info":"compute unary expreesion, input=3707, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=3299","layer":2},{"info":"compute binary expreesion, left_input=679, right_input=3299, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":1},{"info":"compute binary expreesion, left_input=-89, right_input=-1818, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-1818","layer":0}],"base":7,"result_base":7,"text":"(⊀(≴∭⊉23224≎⊠⪸≴∭⊉26455))≧⫂∧((≑⋹≴∭⊉10142)%(⪁⇼≴∭⊉3005))↺(≴∭⊉5300∓⋝≴∭⊉16603⇼⇔∾(≴∭⊉3141⫚⫇))⩺⪪(∓⪦(≴∭⊉13544⋝⋈⪟≴∭⊉11022))=≴∭⊉-5205","reverse_text":"≴∭⊉-5205=(⊀(≴∭⊉23224≎⊠⪸≴∭⊉26455))≧⫂∧((≑⋹≴∭⊉10142)%(⪁⇼≴∭⊉3005))↺(≴∭⊉5300∓⋝≴∭⊉16603⇼⇔∾(≴∭⊉3141⫚⫇))⩺⪪(∓⪦(≴∭⊉13544⋝⋈⪟≴∭⊉11022))","cot":[{"info":"≴∭⊉23224≎⊠⪸≴∭⊉26455=≴∭⊉16042133","layer":3},{"info":"⊀≴∭⊉16042133=≴∭⊉103231042","layer":2},{"info":"≑⋹≴∭⊉10142=≴∭⊉4545","layer":3},{"info":"⪁⇼≴∭⊉3005=≴∭⊉1142","layer":3},{"info":"≴∭⊉4545%≴∭⊉1142=≴∭⊉1056","layer":2},{"info":"≴∭⊉103231042≧⫂∧≴∭⊉1056=≴∭⊉-155","layer":1},{"info":"≴∭⊉5300∓⋝≴∭⊉16603=≴∭⊉124","layer":3},{"info":"≴∭⊉3141⫚⫇=≴∭⊉2114","layer":3},{"info":"≴∭⊉124⇼⇔∾≴∭⊉2114=≴∭⊉1660","layer":2},{"info":"≴∭⊉13544⋝⋈⪟≴∭⊉11022=≴∭⊉13544","layer":3},{"info":"∓⪦≴∭⊉13544=≴∭⊉12422","layer":2},{"info":"≴∭⊉1660⩺⪪≴∭⊉12422=≴∭⊉-5205","layer":1},{"info":"≴∭⊉-155↺≴∭⊉-5205=≴∭⊉-5205","layer":0}]}
+{"id":182,"expression_no_base_symbol":"((≉$3712$)⨭⪣$3773$⇌⫙⪟$2704$↸($2254$⨴∎)≨(⇾⩊⇾$1024$))⋅⇍((⊙↵-$2084$⊕∕$1169$)⫡⨏($1047$≝⊰⇂)⩵∡($5605$⊍⩺⋍$2384$))","expression":"((≉≴∭⊉13552)⨭⪣≴∭⊉14000⇌⫙⪟≴∭⊉10612↸(≴∭⊉6400⨴∎)≨(⇾⩊⇾≴∭⊉2662))⋅⇍((⊙↵-≴∭⊉6035⊕∕≴∭⊉3260)⫡⨏(≴∭⊉3024≝⊰⇂)⩵∡(≴∭⊉22225⊍⩺⋍≴∭⊉6644))","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":6185,"operation_count":14,"complexity_ratio":441.7857142857143,"tree":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":3712,"base":7}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":3773,"base":7},"right_expr":{"type":"numeric_atoms","value":2704,"base":7}}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"unary","operator":"⨴∎","unary_expr":{"type":"numeric_atoms","value":2254,"base":7}},"right_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"numeric_atoms","value":1024,"base":7}}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":2084,"base":7},"right_expr":{"type":"numeric_atoms","value":1169,"base":7}}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"unary","operator":"≝⊰⇂","unary_expr":{"type":"numeric_atoms","value":1047,"base":7}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":5605,"base":7},"right_expr":{"type":"numeric_atoms","value":2384,"base":7}}}}},"used_operators":["AdZkA7nFnk","1eCjFl0mb9","kn8WO9XteQ","e1ybzncUwg","AFVx7xoS7T","0KMCeP1Jsh","CpSg5vQTgA","bx9Z9DAK5y","QMFrweE19q","oWn0xqSxBt","9cloC0Ngie","Y7wcNGrDQJ","htSmYCowi5","OXDGMFPWZM"],"dependent_operators":["g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","W4YGzv6Whe","t8gj7n24qd","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","Q3PJZHRvZv","s1XTVnmDOJ","VEQNXA0ZBg","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","NTOWxs364D","glklzrTFfD","tifHPKVTfV","9FxExcQeMw","DlLNRPXxWL","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld"],"result":"≴∭⊉-13212","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3712","layer":4},{"info":"compute unary expreesion, input=3712, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=4243","layer":3},{"info":"number node, value=3773","layer":4},{"info":"number node, value=2704","layer":4},{"info":"compute binary expreesion, left_input=3773, right_input=2704, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"compute binary expreesion, left_input=4243, right_input=113, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=2964","layer":2},{"info":"number node, value=2254","layer":4},{"info":"compute unary expreesion, input=2254, op_id = CpSg5vQTgA, unary_op_definition = 'a⨴∎ = { (⊥a) , if (a≓∲156)<=233 or (a⪗)>744 ; a , else }', output=nan","layer":3},{"info":"number node, value=1024","layer":4},{"info":"compute unary expreesion, input=1024, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-15702","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-15702, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=2964, right_input=nan, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=2964","layer":1},{"info":"number node, value=2084","layer":4},{"info":"number node, value=1169","layer":4},{"info":"compute binary expreesion, left_input=2084, right_input=1169, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=2084","layer":3},{"info":"compute unary expreesion, input=2084, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":2},{"info":"number node, value=1047","layer":4},{"info":"compute unary expreesion, input=1047, op_id = htSmYCowi5, unary_op_definition = 'a≝⊰⇂ = { (a⩷∴51) , if a<491 ; (⫛⫱⨽a) , else }', output=0","layer":3},{"info":"number node, value=5605","layer":4},{"info":"number node, value=2384","layer":4},{"info":"compute binary expreesion, left_input=5605, right_input=2384, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=nan, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=2964, right_input=nan, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-3537","layer":0}],"base":7,"result_base":7,"text":"((≉≴∭⊉13552)⨭⪣≴∭⊉14000⇌⫙⪟≴∭⊉10612↸(≴∭⊉6400⨴∎)≨(⇾⩊⇾≴∭⊉2662))⋅⇍((⊙↵-≴∭⊉6035⊕∕≴∭⊉3260)⫡⨏(≴∭⊉3024≝⊰⇂)⩵∡(≴∭⊉22225⊍⩺⋍≴∭⊉6644))=≴∭⊉-13212","reverse_text":"≴∭⊉-13212=((≉≴∭⊉13552)⨭⪣≴∭⊉14000⇌⫙⪟≴∭⊉10612↸(≴∭⊉6400⨴∎)≨(⇾⩊⇾≴∭⊉2662))⋅⇍((⊙↵-≴∭⊉6035⊕∕≴∭⊉3260)⫡⨏(≴∭⊉3024≝⊰⇂)⩵∡(≴∭⊉22225⊍⩺⋍≴∭⊉6644))","cot":[{"info":"≉≴∭⊉13552=≴∭⊉15241","layer":3},{"info":"≴∭⊉14000⇌⫙⪟≴∭⊉10612=≴∭⊉221","layer":3},{"info":"≴∭⊉15241⨭⪣≴∭⊉221=≴∭⊉11433","layer":2},{"info":"≴∭⊉6400⨴∎=NaN","layer":3},{"info":"⇾⩊⇾≴∭⊉2662=≴∭⊉-63531","layer":3},{"info":"NaN≨≴∭⊉-63531=NaN","layer":2},{"info":"≴∭⊉11433↸NaN=≴∭⊉11433","layer":1},{"info":"≴∭⊉6035⊕∕≴∭⊉3260=≴∭⊉6035","layer":3},{"info":"⊙↵-≴∭⊉6035=≴∭⊉-1","layer":2},{"info":"≴∭⊉3024≝⊰⇂=≴∭⊉0","layer":3},{"info":"≴∭⊉22225⊍⩺⋍≴∭⊉6644=NaN","layer":3},{"info":"≴∭⊉0⩵∡NaN=NaN","layer":2},{"info":"≴∭⊉-1⫡⨏NaN=NaN","layer":1},{"info":"≴∭⊉11433⋅⇍NaN=≴∭⊉-13212","layer":0}]}
+{"id":183,"expression_no_base_symbol":"((⇵⪽$6591$)⋓$1198$↼⊘⨖$8481$⫌⩉⩟(↥≼⋛$1442$)↢($1586$∇⊂⋱$1791$))⊨(⊖∈$4670$⨭⪣$8746$)⇡⇂($1054$⪃⊛⇣$4341$⨒$2743$⨿$1824$)","expression":"((⇵⪽≴∭⊉25134)⋓≴∭⊉3331↼⊘⨖≴∭⊉33504⫌⩉⩟(↥≼⋛≴∭⊉4130)↢(≴∭⊉4424∇⊂⋱≴∭⊉5136))⊨(⊖∈≴∭⊉16421⨭⪣≴∭⊉34333)⇡⇂(≴∭⊉3034⪃⊛⇣≴∭⊉15441⨒≴∭⊉10666⨿≴∭⊉5214)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":243175,"operation_count":14,"complexity_ratio":17369.64285714286,"tree":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"numeric_atoms","value":6591,"base":7}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":1198,"base":7},"right_expr":{"type":"numeric_atoms","value":8481,"base":7}}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"numeric_atoms","value":1442,"base":7}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":1586,"base":7},"right_expr":{"type":"numeric_atoms","value":1791,"base":7}}}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":4670,"base":7},"right_expr":{"type":"numeric_atoms","value":8746,"base":7}}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":1054,"base":7},"right_expr":{"type":"numeric_atoms","value":4341,"base":7}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":2743,"base":7},"right_expr":{"type":"numeric_atoms","value":1824,"base":7}}}}},"used_operators":["vg4gO5BX6G","XIIwhv8d0m","T2fj7uvVaJ","ZGCBLdVRRX","bPywburJMS","WR6HLWljOP","x5lMkHmzsq","nhYeJWJD5X","UMwdvZNt44","YFxL8Sc2Zy","kn8WO9XteQ","y75s1iXyHd","rrgAzCduG9","abYXlopdE0"],"dependent_operators":["NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","U7g4x0WXJJ","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6591","layer":4},{"info":"compute unary expreesion, input=6591, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":3},{"info":"number node, value=1198","layer":4},{"info":"number node, value=8481","layer":4},{"info":"compute binary expreesion, left_input=1198, right_input=8481, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=16740","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=16740, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"number node, value=1442","layer":4},{"info":"compute unary expreesion, input=1442, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-113","layer":3},{"info":"number node, value=1586","layer":4},{"info":"number node, value=1791","layer":4},{"info":"compute binary expreesion, left_input=1586, right_input=1791, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=2626","layer":3},{"info":"compute binary expreesion, left_input=-113, right_input=2626, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=-484","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-484, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":1},{"info":"number node, value=4670","layer":4},{"info":"number node, value=8746","layer":4},{"info":"compute binary expreesion, left_input=4670, right_input=8746, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=3391","layer":3},{"info":"compute unary expreesion, input=3391, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=62226","layer":2},{"info":"number node, value=1054","layer":4},{"info":"number node, value=4341","layer":4},{"info":"compute binary expreesion, left_input=1054, right_input=4341, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"number node, value=2743","layer":4},{"info":"number node, value=1824","layer":4},{"info":"compute binary expreesion, left_input=2743, right_input=1824, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=-319, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=62226, right_input=0, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-50, right_input=nan, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((⇵⪽≴∭⊉25134)⋓≴∭⊉3331↼⊘⨖≴∭⊉33504⫌⩉⩟(↥≼⋛≴∭⊉4130)↢(≴∭⊉4424∇⊂⋱≴∭⊉5136))⊨(⊖∈≴∭⊉16421⨭⪣≴∭⊉34333)⇡⇂(≴∭⊉3034⪃⊛⇣≴∭⊉15441⨒≴∭⊉10666⨿≴∭⊉5214)=NaN","reverse_text":"NaN=((⇵⪽≴∭⊉25134)⋓≴∭⊉3331↼⊘⨖≴∭⊉33504⫌⩉⩟(↥≼⋛≴∭⊉4130)↢(≴∭⊉4424∇⊂⋱≴∭⊉5136))⊨(⊖∈≴∭⊉16421⨭⪣≴∭⊉34333)⇡⇂(≴∭⊉3034⪃⊛⇣≴∭⊉15441⨒≴∭⊉10666⨿≴∭⊉5214)","cot":[{"info":"⇵⪽≴∭⊉25134=NaN","layer":3},{"info":"≴∭⊉3331↼⊘⨖≴∭⊉33504=≴∭⊉66543","layer":3},{"info":"NaN⋓≴∭⊉66543=≴∭⊉0","layer":2},{"info":"↥≼⋛≴∭⊉4130=≴∭⊉-221","layer":3},{"info":"≴∭⊉4424∇⊂⋱≴∭⊉5136=≴∭⊉10441","layer":3},{"info":"≴∭⊉-221↢≴∭⊉10441=≴∭⊉-1261","layer":2},{"info":"≴∭⊉0⫌⩉⩟≴∭⊉-1261=≴∭⊉-101","layer":1},{"info":"≴∭⊉16421⨭⪣≴∭⊉34333=≴∭⊉12613","layer":3},{"info":"⊖∈≴∭⊉12613=≴∭⊉346263","layer":2},{"info":"≴∭⊉3034⪃⊛⇣≴∭⊉15441=≴∭⊉3412","layer":3},{"info":"≴∭⊉10666⨿≴∭⊉5214=≴∭⊉-634","layer":3},{"info":"≴∭⊉3412⨒≴∭⊉-634=≴∭⊉0","layer":2},{"info":"≴∭⊉346263⇡⇂≴∭⊉0=NaN","layer":1},{"info":"≴∭⊉-101⊨NaN=NaN","layer":0}]}
+{"id":184,"expression_no_base_symbol":"⊆⋠((≑⋹$1640$⇡⇂$3294$)⊬⫿⊭)","expression":"⊆⋠((≑⋹≴∭⊉4532⇡⇂≴∭⊉12414)⊬⫿⊭)","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":17178,"operation_count":4,"complexity_ratio":4294.5,"tree":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"unary","operator":"⊬⫿⊭","unary_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":1640,"base":7},"right_expr":{"type":"numeric_atoms","value":3294,"base":7}}}}},"used_operators":["EBhcHTkKd8","v0DYgG9ikt","6B9nyZLogK","UMwdvZNt44"],"dependent_operators":["YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","eLAdDNolq6","P8v4zCKN1o","7j4O788W3g","8w2t5hMYqp","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1"],"result":"≴∭⊉14413","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1640","layer":4},{"info":"number node, value=3294","layer":4},{"info":"compute binary expreesion, left_input=1640, right_input=3294, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = v0DYgG9ikt, unary_op_definition = 'a⊬⫿⊭ = { ((⨑⩽⪐(≤/a))↺((⨞⊢a)⨰(↽≂188))) , if a<119 ; (((∥⊫a)⨳⩥⨓(a⨵⪆a))↺(⊄⩳↩(a⋝⋈⪟a))) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=3979","layer":0}],"base":7,"result_base":7,"text":"⊆⋠((≑⋹≴∭⊉4532⇡⇂≴∭⊉12414)⊬⫿⊭)=≴∭⊉14413","reverse_text":"≴∭⊉14413=⊆⋠((≑⋹≴∭⊉4532⇡⇂≴∭⊉12414)⊬⫿⊭)","cot":[{"info":"≴∭⊉4532⇡⇂≴∭⊉12414=NaN","layer":3},{"info":"≑⋹NaN=NaN","layer":2},{"info":"NaN⊬⫿⊭=NaN","layer":1},{"info":"⊆⋠NaN=≴∭⊉14413","layer":0}]}
+{"id":185,"expression_no_base_symbol":"(($8022$⩖⊿$1561$)↳≱($4543$⩺⪪$3299$)⫒⫫($7658$∴≳≥)⨼⩣(⪲⇎$3053$))∺≝⩲(($2150$∠↢$5790$)∘$5399$⫘$2657$)⇂≾⫗($1151$⪢$4293$⊋≦⊧($4199$⩚⊴⇥$1017$))","expression":"((≴∭⊉32250⩖⊿≴∭⊉4360)↳≱(≴∭⊉16150⩺⪪≴∭⊉12422)⫒⫫(≴∭⊉31220∴≳≥)⨼⩣(⪲⇎≴∭⊉11621))∺≝⩲((≴∭⊉6161∠↢≴∭⊉22611)∘≴∭⊉21512⫘≴∭⊉10514)⇂≾⫗(≴∭⊉3233⪢≴∭⊉15342⊋≦⊧(≴∭⊉15146⩚⊴⇥≴∭⊉2652))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":10729,"operation_count":15,"complexity_ratio":715.2666666666667,"tree":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":8022,"base":7},"right_expr":{"type":"numeric_atoms","value":1561,"base":7}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":4543,"base":7},"right_expr":{"type":"numeric_atoms","value":3299,"base":7}}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"unary","operator":"∴≳≥","unary_expr":{"type":"numeric_atoms","value":7658,"base":7}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":3053,"base":7}}}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":2150,"base":7},"right_expr":{"type":"numeric_atoms","value":5790,"base":7}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":5399,"base":7},"right_expr":{"type":"numeric_atoms","value":2657,"base":7}}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1151,"base":7},"right_expr":{"type":"numeric_atoms","value":4293,"base":7}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":4199,"base":7},"right_expr":{"type":"numeric_atoms","value":1017,"base":7}}}}},"used_operators":["KPf6cnQVty","6Ko8hGgeMq","JwTKLfZU96","RZ5CV9rWsJ","uvdQJvN4PV","JxwMv5le6e","a3N2hFLK0J","XPYlsWDdGa","aBQ6xLxuTc","Z5m6OM72h2","KbjG8mgYpV","48vC8HMD2b","oRDoc9rAEX","dWAJyo7jo9","NTOWxs364D"],"dependent_operators":["BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","g55IO6H4Gj","DpFCA1CohY","xUOZtlo3hN","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","eH2TOUuTDT","rysDP5nf3Z","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"≴∭⊉316","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=8022","layer":4},{"info":"number node, value=1561","layer":4},{"info":"compute binary expreesion, left_input=8022, right_input=1561, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-19682","layer":3},{"info":"number node, value=4543","layer":4},{"info":"number node, value=3299","layer":4},{"info":"compute binary expreesion, left_input=4543, right_input=3299, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-20802","layer":3},{"info":"compute binary expreesion, left_input=-19682, right_input=-20802, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":2},{"info":"number node, value=7658","layer":4},{"info":"compute unary expreesion, input=7658, op_id = a3N2hFLK0J, unary_op_definition = 'a∴≳≥ = { (⨞⊢a) , if (⋗⩬⋾a)==641 ; (a⨸⪁a) , else }', output=30632","layer":3},{"info":"number node, value=3053","layer":4},{"info":"compute unary expreesion, input=3053, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=6106","layer":3},{"info":"compute binary expreesion, left_input=30632, right_input=6106, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":1},{"info":"number node, value=2150","layer":4},{"info":"number node, value=5790","layer":4},{"info":"compute binary expreesion, left_input=2150, right_input=5790, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-88578","layer":3},{"info":"number node, value=5399","layer":4},{"info":"number node, value=2657","layer":4},{"info":"compute binary expreesion, left_input=5399, right_input=2657, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=6353629","layer":3},{"info":"compute binary expreesion, left_input=-88578, right_input=6353629, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=-177156","layer":2},{"info":"number node, value=1151","layer":4},{"info":"number node, value=4293","layer":4},{"info":"compute binary expreesion, left_input=1151, right_input=4293, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=4199","layer":4},{"info":"number node, value=1017","layer":4},{"info":"compute binary expreesion, left_input=4199, right_input=1017, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5337","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5337, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-177156, right_input=nan, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉32250⩖⊿≴∭⊉4360)↳≱(≴∭⊉16150⩺⪪≴∭⊉12422)⫒⫫(≴∭⊉31220∴≳≥)⨼⩣(⪲⇎≴∭⊉11621))∺≝⩲((≴∭⊉6161∠↢≴∭⊉22611)∘≴∭⊉21512⫘≴∭⊉10514)⇂≾⫗(≴∭⊉3233⪢≴∭⊉15342⊋≦⊧(≴∭⊉15146⩚⊴⇥≴∭⊉2652))=≴∭⊉316","reverse_text":"≴∭⊉316=((≴∭⊉32250⩖⊿≴∭⊉4360)↳≱(≴∭⊉16150⩺⪪≴∭⊉12422)⫒⫫(≴∭⊉31220∴≳≥)⨼⩣(⪲⇎≴∭⊉11621))∺≝⩲((≴∭⊉6161∠↢≴∭⊉22611)∘≴∭⊉21512⫘≴∭⊉10514)⇂≾⫗(≴∭⊉3233⪢≴∭⊉15342⊋≦⊧(≴∭⊉15146⩚⊴⇥≴∭⊉2652))","cot":[{"info":"≴∭⊉32250⩖⊿≴∭⊉4360=≴∭⊉-111245","layer":3},{"info":"≴∭⊉16150⩺⪪≴∭⊉12422=≴∭⊉-114435","layer":3},{"info":"≴∭⊉-111245↳≱≴∭⊉-114435=≴∭⊉0","layer":2},{"info":"≴∭⊉31220∴≳≥=≴∭⊉155210","layer":3},{"info":"⪲⇎≴∭⊉11621=≴∭⊉23542","layer":3},{"info":"≴∭⊉155210⨼⩣≴∭⊉23542=NaN","layer":2},{"info":"≴∭⊉0⫒⫫NaN=NaN","layer":1},{"info":"≴∭⊉6161∠↢≴∭⊉22611=≴∭⊉-516150","layer":3},{"info":"≴∭⊉21512⫘≴∭⊉10514=≴∭⊉105001462","layer":3},{"info":"≴∭⊉-516150∘≴∭⊉105001462=≴∭⊉-1335330","layer":2},{"info":"≴∭⊉3233⪢≴∭⊉15342=NaN","layer":3},{"info":"≴∭⊉15146⩚⊴⇥≴∭⊉2652=≴∭⊉-21363","layer":3},{"info":"NaN⊋≦⊧≴∭⊉-21363=NaN","layer":2},{"info":"≴∭⊉-1335330⇂≾⫗NaN=NaN","layer":1},{"info":"NaN∺≝⩲NaN=≴∭⊉316","layer":0}]}
+{"id":186,"expression_no_base_symbol":"(((⨛$2128$)⪠⩆⊳)∷)⨥⫆($2531$∊∟⩊$1756$⩘(⇖⫷⫕$1103$)⨭⪣(($1903$⊭↱$2251$)⨭⪣(∂$1287$)))","expression":"(((⨛≴∭⊉6130)⪠⩆⊳)∷)⨥⫆(≴∭⊉10244∊∟⩊≴∭⊉5056⩘(⇖⫷⫕≴∭⊉3134)⨭⪣((≴∭⊉5356⊭↱≴∭⊉6364)⨭⪣(∂≴∭⊉3516)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":976,"operation_count":11,"complexity_ratio":88.72727272727273,"tree":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"unary","operator":"∷","unary_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"numeric_atoms","value":2128,"base":7}}}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":2531,"base":7},"right_expr":{"type":"numeric_atoms","value":1756,"base":7}},"right_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"numeric_atoms","value":1103,"base":7}}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1903,"base":7},"right_expr":{"type":"numeric_atoms","value":2251,"base":7}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1287,"base":7}}}}},"used_operators":["yXekIHxTD4","nFAOW8KTqp","JLbD19bQDL","CoMdbyAt7R","kn8WO9XteQ","cHh1gJQ2o6","ddLRYrp01A","UHmRx3INFg","COABgblf1C","Uaa54Peajs"],"dependent_operators":["eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","D4vGDi5EA2","t8gj7n24qd","2DDjHMKMc0","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2128","layer":4},{"info":"compute unary expreesion, input=2128, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = nFAOW8KTqp, unary_op_definition = 'a∷ = { ((-(a⋝⋈⪟a))≦≮≮) }', output=nan","layer":1},{"info":"number node, value=2531","layer":4},{"info":"number node, value=1756","layer":4},{"info":"compute binary expreesion, left_input=2531, right_input=1756, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=1756","layer":3},{"info":"number node, value=1103","layer":4},{"info":"compute unary expreesion, input=1103, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":3},{"info":"compute binary expreesion, left_input=1756, right_input=2822, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":2},{"info":"number node, value=1903","layer":4},{"info":"number node, value=2251","layer":4},{"info":"compute binary expreesion, left_input=1903, right_input=2251, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=701","layer":3},{"info":"number node, value=1287","layer":4},{"info":"compute unary expreesion, input=1287, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=701, right_input=nan, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-21","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-21, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-482","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-482, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(((⨛≴∭⊉6130)⪠⩆⊳)∷)⨥⫆(≴∭⊉10244∊∟⩊≴∭⊉5056⩘(⇖⫷⫕≴∭⊉3134)⨭⪣((≴∭⊉5356⊭↱≴∭⊉6364)⨭⪣(∂≴∭⊉3516)))=NaN","reverse_text":"NaN=(((⨛≴∭⊉6130)⪠⩆⊳)∷)⨥⫆(≴∭⊉10244∊∟⩊≴∭⊉5056⩘(⇖⫷⫕≴∭⊉3134)⨭⪣((≴∭⊉5356⊭↱≴∭⊉6364)⨭⪣(∂≴∭⊉3516)))","cot":[{"info":"⨛≴∭⊉6130=NaN","layer":3},{"info":"NaN⪠⩆⊳=NaN","layer":2},{"info":"NaN∷=NaN","layer":1},{"info":"≴∭⊉10244∊∟⩊≴∭⊉5056=≴∭⊉5056","layer":3},{"info":"⇖⫷⫕≴∭⊉3134=≴∭⊉11141","layer":3},{"info":"≴∭⊉5056⩘≴∭⊉11141=≴∭⊉316","layer":2},{"info":"≴∭⊉5356⊭↱≴∭⊉6364=≴∭⊉2021","layer":3},{"info":"∂≴∭⊉3516=NaN","layer":3},{"info":"≴∭⊉2021⨭⪣NaN=≴∭⊉-30","layer":2},{"info":"≴∭⊉316⨭⪣≴∭⊉-30=≴∭⊉-1256","layer":1},{"info":"NaN⨥⫆≴∭⊉-1256=NaN","layer":0}]}
+{"id":187,"expression_no_base_symbol":"((⨂⪏⇭($1354$⊭∹↮))∝($3724$∸)⨚($6099$≧⫂∧$1939$))⊋≦⊧($1453$⊢$5668$⊠≄⫣)⪪($8343$≎⪠$1487$⫒⫫($1512$⩧⪆$1849$))","expression":"((⨂⪏⇭(≴∭⊉3643⊭∹↮))∝(≴∭⊉13600∸)⨚(≴∭⊉23532≧⫂∧≴∭⊉5440))⊋≦⊧(≴∭⊉4144⊢≴∭⊉22345⊠≄⫣)⪪(≴∭⊉33216≎⪠≴∭⊉4223⫒⫫(≴∭⊉4260⩧⪆≴∭⊉5251))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":19450,"operation_count":13,"complexity_ratio":1496.1538461538462,"tree":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":1354,"base":7}}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":3724,"base":7}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":6099,"base":7},"right_expr":{"type":"numeric_atoms","value":1939,"base":7}}}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":1453,"base":7},"right_expr":{"type":"numeric_atoms","value":5668,"base":7}}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":8343,"base":7},"right_expr":{"type":"numeric_atoms","value":1487,"base":7}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":1512,"base":7},"right_expr":{"type":"numeric_atoms","value":1849,"base":7}}}}},"used_operators":["oRDoc9rAEX","cTDWOvIxvz","AYdpE9sXAk","xNBdhnnwKq","nREPSIbpBE","o20kRiQErp","Ph9nP6C5qx","xD69zh8xqp","DIvbN7qnHd","5twsqlHp2o","6Ko8hGgeMq","aNhz54LH3e","Ikt5ks8PT7"],"dependent_operators":["DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","7j4O788W3g","W4YGzv6Whe","COABgblf1C","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","BjRHVeLaeN","12rbrZMWeM","tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd","FU0Cs4j7VP","JclMnS0uGI","rysDP5nf3Z","t8gj7n24qd","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","eewbuw0ToL","t8gj7n24qd"],"result":"≴∭⊉462","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1354","layer":4},{"info":"compute unary expreesion, input=1354, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=2708","layer":3},{"info":"compute unary expreesion, input=2708, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=7145","layer":2},{"info":"number node, value=3724","layer":4},{"info":"compute unary expreesion, input=3724, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"number node, value=6099","layer":4},{"info":"number node, value=1939","layer":4},{"info":"compute binary expreesion, left_input=6099, right_input=1939, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1466","layer":3},{"info":"compute binary expreesion, left_input=177, right_input=1466, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-4576","layer":2},{"info":"compute binary expreesion, left_input=7145, right_input=-4576, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=7150","layer":1},{"info":"number node, value=1453","layer":4},{"info":"number node, value=5668","layer":4},{"info":"compute binary expreesion, left_input=1453, right_input=5668, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-3150","layer":3},{"info":"compute unary expreesion, input=-3150, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":2},{"info":"number node, value=8343","layer":4},{"info":"number node, value=1487","layer":4},{"info":"compute binary expreesion, left_input=8343, right_input=1487, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"number node, value=1512","layer":4},{"info":"number node, value=1849","layer":4},{"info":"compute binary expreesion, left_input=1512, right_input=1849, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-1849","layer":3},{"info":"compute binary expreesion, left_input=19558, right_input=-1849, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=7150, right_input=0, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=240","layer":0}],"base":7,"result_base":7,"text":"((⨂⪏⇭(≴∭⊉3643⊭∹↮))∝(≴∭⊉13600∸)⨚(≴∭⊉23532≧⫂∧≴∭⊉5440))⊋≦⊧(≴∭⊉4144⊢≴∭⊉22345⊠≄⫣)⪪(≴∭⊉33216≎⪠≴∭⊉4223⫒⫫(≴∭⊉4260⩧⪆≴∭⊉5251))=≴∭⊉462","reverse_text":"≴∭⊉462=((⨂⪏⇭(≴∭⊉3643⊭∹↮))∝(≴∭⊉13600∸)⨚(≴∭⊉23532≧⫂∧≴∭⊉5440))⊋≦⊧(≴∭⊉4144⊢≴∭⊉22345⊠≄⫣)⪪(≴∭⊉33216≎⪠≴∭⊉4223⫒⫫(≴∭⊉4260⩧⪆≴∭⊉5251))","cot":[{"info":"≴∭⊉3643⊭∹↮=≴∭⊉10616","layer":3},{"info":"⨂⪏⇭≴∭⊉10616=≴∭⊉26555","layer":2},{"info":"≴∭⊉13600∸=≴∭⊉342","layer":3},{"info":"≴∭⊉23532≧⫂∧≴∭⊉5440=≴∭⊉4163","layer":3},{"info":"≴∭⊉342⨚≴∭⊉4163=≴∭⊉-16225","layer":2},{"info":"≴∭⊉26555∝≴∭⊉-16225=≴∭⊉26563","layer":1},{"info":"≴∭⊉4144⊢≴∭⊉22345=≴∭⊉-12120","layer":3},{"info":"≴∭⊉-12120⊠≄⫣=≴∭⊉0","layer":2},{"info":"≴∭⊉33216≎⪠≴∭⊉4223=≴∭⊉111010","layer":3},{"info":"≴∭⊉4260⩧⪆≴∭⊉5251=≴∭⊉-5251","layer":3},{"info":"≴∭⊉111010⫒⫫≴∭⊉-5251=NaN","layer":2},{"info":"≴∭⊉0⪪NaN=≴∭⊉0","layer":1},{"info":"≴∭⊉26563⊋≦⊧≴∭⊉0=≴∭⊉462","layer":0}]}
+{"id":188,"expression_no_base_symbol":"($6073$⩼⇪↪$1146$∼$2646$⋛$2871$⫩)⇣⩺⋵(⊑(⨂⪏⇭$1674$)⪢($1311$⊀⩕))","expression":"(≴∭⊉23464⩼⇪↪≴∭⊉3225∼≴∭⊉10500⋛≴∭⊉11241⫩)⇣⩺⋵(⊑(⨂⪏⇭≴∭⊉4611)⪢(≴∭⊉3552⊀⩕))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2086,"operation_count":9,"complexity_ratio":231.77777777777777,"tree":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"unary","operator":"⫩","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":6073,"base":7},"right_expr":{"type":"numeric_atoms","value":1146,"base":7}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":2646,"base":7},"right_expr":{"type":"numeric_atoms","value":2871,"base":7}}}},"right_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"numeric_atoms","value":1674,"base":7}},"right_expr":{"type":"unary","operator":"⊀⩕","unary_expr":{"type":"numeric_atoms","value":1311,"base":7}}}}},"used_operators":["F4yD0voBRQ","6aG7x05OhS","DyGG3AbaNP","ocnLzx9CaJ","YbUVn0Rbpy","IkUmn0D7oy","dWAJyo7jo9","AYdpE9sXAk","r0FS3hW4cC"],"dependent_operators":["NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","dWAJyo7jo9","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","k8jYdgA6NY","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","rGHVDoGpnC","nhYeJWJD5X"],"result":"≴∭⊉-521","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6073","layer":4},{"info":"number node, value=1146","layer":4},{"info":"compute binary expreesion, left_input=6073, right_input=1146, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=3341","layer":3},{"info":"number node, value=2646","layer":4},{"info":"number node, value=2871","layer":4},{"info":"compute binary expreesion, left_input=2646, right_input=2871, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-108378","layer":3},{"info":"compute binary expreesion, left_input=3341, right_input=-108378, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 6aG7x05OhS, unary_op_definition = 'a⫩ = { (a⪢a) }', output=nan","layer":1},{"info":"number node, value=1674","layer":4},{"info":"compute unary expreesion, input=1674, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=4043","layer":3},{"info":"number node, value=1311","layer":4},{"info":"compute unary expreesion, input=1311, op_id = r0FS3hW4cC, unary_op_definition = 'a⊀⩕ = { (a⨟⋌⩍(181∇⊂⋱a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=4043, right_input=0, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=192, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉23464⩼⇪↪≴∭⊉3225∼≴∭⊉10500⋛≴∭⊉11241⫩)⇣⩺⋵(⊑(⨂⪏⇭≴∭⊉4611)⪢(≴∭⊉3552⊀⩕))=≴∭⊉-521","reverse_text":"≴∭⊉-521=(≴∭⊉23464⩼⇪↪≴∭⊉3225∼≴∭⊉10500⋛≴∭⊉11241⫩)⇣⩺⋵(⊑(⨂⪏⇭≴∭⊉4611)⪢(≴∭⊉3552⊀⩕))","cot":[{"info":"≴∭⊉23464⩼⇪↪≴∭⊉3225=≴∭⊉12512","layer":3},{"info":"≴∭⊉10500⋛≴∭⊉11241=≴∭⊉-630654","layer":3},{"info":"≴∭⊉12512∼≴∭⊉-630654=NaN","layer":2},{"info":"NaN⫩=NaN","layer":1},{"info":"⨂⪏⇭≴∭⊉4611=≴∭⊉14534","layer":3},{"info":"≴∭⊉3552⊀⩕=≴∭⊉0","layer":3},{"info":"≴∭⊉14534⪢≴∭⊉0=≴∭⊉0","layer":2},{"info":"⊑≴∭⊉0=≴∭⊉363","layer":1},{"info":"NaN⇣⩺⋵≴∭⊉363=≴∭⊉-521","layer":0}]}
+{"id":189,"expression_no_base_symbol":"⊥((↓⇌($1785$↼⊘⨖$6165$))≠≀($2993$⊬⫿⊭)⋥⋵⩄$2874$⇤$4593$)","expression":"⊥((↓⇌(≴∭⊉5130↼⊘⨖≴∭⊉23655))≠≀(≴∭⊉11504⊬⫿⊭)⋥⋵⩄≴∭⊉11244⇤≴∭⊉16251)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":88,"operation_count":7,"complexity_ratio":12.571428571428571,"tree":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":1785,"base":7},"right_expr":{"type":"numeric_atoms","value":6165,"base":7}}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"unary","operator":"⊬⫿⊭","unary_expr":{"type":"numeric_atoms","value":2993,"base":7}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":2874,"base":7},"right_expr":{"type":"numeric_atoms","value":4593,"base":7}}}}},"used_operators":["Q3PJZHRvZv","IwW236VD4Y","PxpmPgHHJV","bPywburJMS","7t3wd0Fuz7","v0DYgG9ikt","YSKBFp38Pu"],"dependent_operators":["fu6greOZ01","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","eLAdDNolq6","P8v4zCKN1o","7j4O788W3g","8w2t5hMYqp","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1785","layer":4},{"info":"number node, value=6165","layer":4},{"info":"compute binary expreesion, left_input=1785, right_input=6165, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=12108","layer":3},{"info":"compute unary expreesion, input=12108, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=12108","layer":2},{"info":"number node, value=2993","layer":4},{"info":"compute unary expreesion, input=2993, op_id = v0DYgG9ikt, unary_op_definition = 'a⊬⫿⊭ = { ((⨑⩽⪐(≤/a))↺((⨞⊢a)⨰(↽≂188))) , if a<119 ; (((∥⊫a)⨳⩥⨓(a⨵⪆a))↺(⊄⩳↩(a⋝⋈⪟a))) , else }', output=-8979","layer":3},{"info":"number node, value=2874","layer":4},{"info":"number node, value=4593","layer":4},{"info":"compute binary expreesion, left_input=2874, right_input=4593, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-34487","layer":3},{"info":"compute binary expreesion, left_input=-8979, right_input=-34487, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=361284","layer":2},{"info":"compute binary expreesion, left_input=12108, right_input=361284, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-23910","layer":1},{"info":"compute unary expreesion, input=-23910, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"⊥((↓⇌(≴∭⊉5130↼⊘⨖≴∭⊉23655))≠≀(≴∭⊉11504⊬⫿⊭)⋥⋵⩄≴∭⊉11244⇤≴∭⊉16251)=NaN","reverse_text":"NaN=⊥((↓⇌(≴∭⊉5130↼⊘⨖≴∭⊉23655))≠≀(≴∭⊉11504⊬⫿⊭)⋥⋵⩄≴∭⊉11244⇤≴∭⊉16251)","cot":[{"info":"≴∭⊉5130↼⊘⨖≴∭⊉23655=≴∭⊉50205","layer":3},{"info":"↓⇌≴∭⊉50205=≴∭⊉50205","layer":2},{"info":"≴∭⊉11504⊬⫿⊭=≴∭⊉-35115","layer":3},{"info":"≴∭⊉11244⇤≴∭⊉16251=≴∭⊉-202355","layer":3},{"info":"≴∭⊉-35115⋥⋵⩄≴∭⊉-202355=≴∭⊉3033210","layer":2},{"info":"≴∭⊉50205≠≀≴∭⊉3033210=≴∭⊉-126465","layer":1},{"info":"⊥≴∭⊉-126465=NaN","layer":0}]}
+{"id":190,"expression_no_base_symbol":"(⇉-⫰$1742$⇻⋧≁$2466$)∥⊢⊲(($1041$⪮%⊝$5849$)⊴($3663$∠↢$3184$))⫸⊐(($4637$⪨⊡$6416$⪓⨏)⫔⩽⩺((≯$2217$)⊭↱$6806$∣$5728$))","expression":"(⇉-⫰≴∭⊉5036⇻⋧≁≴∭⊉10122)∥⊢⊲((≴∭⊉3015⪮%⊝≴∭⊉23024)⊴(≴∭⊉13452∠↢≴∭⊉12166))⫸⊐((≴∭⊉16343⪨⊡≴∭⊉24464⪓⨏)⫔⩽⩺((≯≴∭⊉6315)⊭↱≴∭⊉25562∣≴∭⊉22462))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":60422,"operation_count":13,"complexity_ratio":4647.846153846154,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":1742,"base":7},"right_expr":{"type":"numeric_atoms","value":2466,"base":7}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1041,"base":7},"right_expr":{"type":"numeric_atoms","value":5849,"base":7}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":3663,"base":7},"right_expr":{"type":"numeric_atoms","value":3184,"base":7}}}},"right_expr":{"type":"binary","operator":"⫔⩽��","left_expr":{"type":"unary","operator":"⪓⨏","unary_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":4637,"base":7},"right_expr":{"type":"numeric_atoms","value":6416,"base":7}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"numeric_atoms","value":2217,"base":7}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":6806,"base":7},"right_expr":{"type":"numeric_atoms","value":5728,"base":7}}}}},"used_operators":["mqXw5SEYmG","v1UQAVDJRr","IGFM8TAlm9","jCPkEVoL5K","Nsiff2A1zJ","IWmyXbctLI","KbjG8mgYpV","i9eR4S00cU","4X9JU4Jbn6","kuIXHzHcAH","COABgblf1C","keWfFq85dY","PPChnnnBFF"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","EBcxylXtPf","rGHVDoGpnC","eH2TOUuTDT","eewbuw0ToL","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","dWAJyo7jo9","14qkJME0vr","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","Tw270M8GLb","fu6greOZ01","gJLn6v0xnP","nOKPl9n5zu","W9R8I5fN5A","rxpJgHHUmx","inkyxCbjAn","z63VuFQld9","AcOhelriW5","3sJ7IOPOlU","CoMdbyAt7R","cHh1gJQ2o6","xlXykHWxX1","Nsiff2A1zJ","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","g55IO6H4Gj","JLbD19bQDL","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1742","layer":4},{"info":"number node, value=2466","layer":4},{"info":"compute binary expreesion, left_input=1742, right_input=2466, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"compute unary expreesion, input=-447, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":2},{"info":"number node, value=1041","layer":4},{"info":"number node, value=5849","layer":4},{"info":"compute binary expreesion, left_input=1041, right_input=5849, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2398","layer":3},{"info":"number node, value=3663","layer":4},{"info":"number node, value=3184","layer":4},{"info":"compute binary expreesion, left_input=3663, right_input=3184, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-58146","layer":3},{"info":"compute binary expreesion, left_input=2398, right_input=-58146, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=20, right_input=nan, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":1},{"info":"number node, value=4637","layer":4},{"info":"number node, value=6416","layer":4},{"info":"compute binary expreesion, left_input=4637, right_input=6416, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 4X9JU4Jbn6, unary_op_definition = 'a⪓⨏ = { (((⨣⨃⇪a)≭(a⊊))⫢⨠((a⪇≇⋚a)⩘(413≥⨤⩑a))) , if (⇁⨣⪵a)<1 ; ((⋗⩴⪓(191∧))⫢⨠(⨛(a⊴a))) , else }', output=nan","layer":2},{"info":"number node, value=2217","layer":4},{"info":"compute unary expreesion, input=2217, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":3},{"info":"number node, value=6806","layer":4},{"info":"number node, value=5728","layer":4},{"info":"compute binary expreesion, left_input=6806, right_input=5728, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=6806","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=6806, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=13617","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=13617, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(⇉-⫰≴∭⊉5036⇻⋧≁≴∭⊉10122)∥⊢⊲((≴∭⊉3015⪮%⊝≴∭⊉23024)⊴(≴∭⊉13452∠↢≴∭⊉12166))⫸⊐((≴∭⊉16343⪨⊡≴∭⊉24464⪓⨏)⫔⩽⩺((≯≴∭⊉6315)⊭↱≴∭⊉25562∣≴∭⊉22462))=NaN","reverse_text":"NaN=(⇉-⫰≴∭⊉5036⇻⋧≁≴∭⊉10122)∥⊢⊲((≴∭⊉3015⪮%⊝≴∭⊉23024)⊴(≴∭⊉13452∠↢≴∭⊉12166))⫸⊐((≴∭⊉16343⪨⊡≴∭⊉24464⪓⨏)⫔⩽⩺((≯≴∭⊉6315)⊭↱≴∭⊉25562∣≴∭⊉22462))","cot":[{"info":"≴∭⊉5036⇻⋧≁≴∭⊉10122=≴∭⊉-1206","layer":3},{"info":"⇉-⫰≴∭⊉-1206=≴∭⊉26","layer":2},{"info":"≴∭⊉3015⪮%⊝≴∭⊉23024=≴∭⊉6664","layer":3},{"info":"≴∭⊉13452∠↢≴∭⊉12166=≴∭⊉-331344","layer":3},{"info":"≴∭⊉6664⊴≴∭⊉-331344=NaN","layer":2},{"info":"≴∭⊉26∥⊢⊲NaN=NaN","layer":1},{"info":"≴∭⊉16343⪨⊡≴∭⊉24464=≴∭⊉0","layer":3},{"info":"≴∭⊉0⪓⨏=NaN","layer":2},{"info":"≯≴∭⊉6315=≴∭⊉0","layer":3},{"info":"≴∭⊉25562∣≴∭⊉22462=≴∭⊉25562","layer":3},{"info":"≴∭⊉0⊭↱≴∭⊉25562=≴∭⊉54462","layer":2},{"info":"NaN⫔⩽⩺≴∭⊉54462=NaN","layer":1},{"info":"NaN⫸⊐NaN=NaN","layer":0}]}
+{"id":191,"expression_no_base_symbol":"(((∑⇻≧$1142$)*$4139$⫉⨲⊜$1184$)⊢(($1107$⪁$2187$)↡⊰⫅($6382$%$1500$)))⨿(⨣⨃⇪($2676$⊢$3866$⋷$2883$⩵∡$1264$))","expression":"(((∑⇻≧≴∭⊉3221)*≴∭⊉15032⫉⨲⊜≴∭⊉3311)⊢((≴∭⊉3141⪁≴∭⊉6243)↡⊰⫅(≴∭⊉24415%≴∭⊉4242)))⨿(⨣⨃⇪(≴∭⊉10542⊢≴∭⊉14162⋷≴∭⊉11256⩵∡≴∭⊉3454))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":49031340,"operation_count":12,"complexity_ratio":4085945.0,"tree":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"numeric_atoms","value":1142,"base":7}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":4139,"base":7},"right_expr":{"type":"numeric_atoms","value":1184,"base":7}}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":1107,"base":7},"right_expr":{"type":"numeric_atoms","value":2187,"base":7}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":6382,"base":7},"right_expr":{"type":"numeric_atoms","value":1500,"base":7}}}},"right_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":2676,"base":7},"right_expr":{"type":"numeric_atoms","value":3866,"base":7}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":2883,"base":7},"right_expr":{"type":"numeric_atoms","value":1264,"base":7}}}}},"used_operators":["abYXlopdE0","5twsqlHp2o","9HNa5Wba9A","l1M9WJ3V7u","WhqkvtTD3t","VCtxkLNOzz","I7sXao9hZE","k8jYdgA6NY","AcOhelriW5","23Mk6UjR3U","Y7wcNGrDQJ"],"dependent_operators":["gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","W4YGzv6Whe","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","eewbuw0ToL","zVYPLywUTj","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","rysDP5nf3Z","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","glklzrTFfD","tifHPKVTfV"],"result":"≴∭⊉124","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1142","layer":4},{"info":"compute unary expreesion, input=1142, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":3},{"info":"number node, value=4139","layer":4},{"info":"number node, value=1184","layer":4},{"info":"compute binary expreesion, left_input=4139, right_input=1184, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-852, right_input=0, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=0","layer":2},{"info":"number node, value=1107","layer":4},{"info":"number node, value=2187","layer":4},{"info":"compute binary expreesion, left_input=1107, right_input=2187, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"number node, value=6382","layer":4},{"info":"number node, value=1500","layer":4},{"info":"compute binary expreesion, left_input=6382, right_input=1500, op_id = k8jYdgA6NY binary_op_definition= 'None', output=382","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=382, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=764","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=764, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-244","layer":1},{"info":"number node, value=2676","layer":4},{"info":"number node, value=3866","layer":4},{"info":"compute binary expreesion, left_input=2676, right_input=3866, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-5596","layer":3},{"info":"number node, value=2883","layer":4},{"info":"number node, value=1264","layer":4},{"info":"compute binary expreesion, left_input=2883, right_input=1264, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-4623","layer":3},{"info":"compute binary expreesion, left_input=-5596, right_input=-4623, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=11192","layer":2},{"info":"compute unary expreesion, input=11192, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":1},{"info":"compute binary expreesion, left_input=-244, right_input=1405, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=67","layer":0}],"base":7,"result_base":7,"text":"(((∑⇻≧≴∭⊉3221)*≴∭⊉15032⫉⨲⊜≴∭⊉3311)⊢((≴∭⊉3141⪁≴∭⊉6243)↡⊰⫅(≴∭⊉24415%≴∭⊉4242)))⨿(⨣⨃⇪(≴∭⊉10542⊢≴∭⊉14162⋷≴∭⊉11256⩵∡≴∭⊉3454))=≴∭⊉124","reverse_text":"≴∭⊉124=(((∑⇻≧≴∭⊉3221)*≴∭⊉15032⫉⨲⊜≴∭⊉3311)⊢((≴∭⊉3141⪁≴∭⊉6243)↡⊰⫅(≴∭⊉24415%≴∭⊉4242)))⨿(⨣⨃⇪(≴∭⊉10542⊢≴∭⊉14162⋷≴∭⊉11256⩵∡≴∭⊉3454))","cot":[{"info":"∑⇻≧≴∭⊉3221=≴∭⊉-2325","layer":3},{"info":"≴∭⊉15032⫉⨲⊜≴∭⊉3311=≴∭⊉0","layer":3},{"info":"≴∭⊉-2325*≴∭⊉0=≴∭⊉0","layer":2},{"info":"≴∭⊉3141⪁≴∭⊉6243=NaN","layer":3},{"info":"≴∭⊉24415%≴∭⊉4242=≴∭⊉1054","layer":3},{"info":"NaN↡⊰⫅≴∭⊉1054=≴∭⊉2141","layer":2},{"info":"≴∭⊉0⊢≴∭⊉2141=≴∭⊉-466","layer":1},{"info":"≴∭⊉10542⊢≴∭⊉14162=≴∭⊉-22213","layer":3},{"info":"≴∭⊉11256⩵∡≴∭⊉3454=≴∭⊉-16323","layer":3},{"info":"≴∭⊉-22213⋷≴∭⊉-16323=≴∭⊉44426","layer":2},{"info":"⨣⨃⇪≴∭⊉44426=≴∭⊉4045","layer":1},{"info":"≴∭⊉-466⨿≴∭⊉4045=≴∭⊉124","layer":0}]}
+{"id":192,"expression_no_base_symbol":"(($1195$⩵∡$4903$)⊋($5060$≀⩗∶$3520$))⪮%⊝($1893$⪛$1157$)↞⋁(⊙↵-$1683$)⊭↱(∷≠(⨣⨃⇪$7974$))⫉⨲⊜($6757$⫳≱↱$1431$)∋($1668$⨽$1094$)","expression":"((≴∭⊉3325⩵∡≴∭⊉20203)⊋(≴∭⊉20516≀⩗∶≴∭⊉13156))⪮%⊝(≴∭⊉5343⪛≴∭⊉3242)↞⋁(⊙↵-≴∭⊉4623)⊭↱(∷≠(⨣⨃⇪≴∭⊉32151))⫉⨲⊜(≴∭⊉25462⫳≱↱≴∭⊉4113)∋(≴∭⊉4602⨽≴∭⊉3122)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":4132,"operation_count":14,"complexity_ratio":295.14285714285717,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":1195,"base":7},"right_expr":{"type":"numeric_atoms","value":4903,"base":7}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":5060,"base":7},"right_expr":{"type":"numeric_atoms","value":3520,"base":7}}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1893,"base":7},"right_expr":{"type":"numeric_atoms","value":1157,"base":7}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1683,"base":7}}}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"numeric_atoms","value":7974,"base":7}}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":6757,"base":7},"right_expr":{"type":"numeric_atoms","value":1431,"base":7}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1668,"base":7},"right_expr":{"type":"numeric_atoms","value":1094,"base":7}}}}},"used_operators":["COABgblf1C","IWmyXbctLI","W4tP9CfskL","Y7wcNGrDQJ","8INZBEW696","RqrPlJkxDo","uFcxV4UQCh","oWn0xqSxBt","WhqkvtTD3t","QiR2Oyf5Xj","AcOhelriW5","ukq6epAj5P","ZvLB05nZmT","8HhzD0ZcuI"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","NTOWxs364D","glklzrTFfD","tifHPKVTfV","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","eewbuw0ToL","zVYPLywUTj","7j4O788W3g","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1195","layer":4},{"info":"number node, value=4903","layer":4},{"info":"compute binary expreesion, left_input=1195, right_input=4903, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=2392","layer":3},{"info":"number node, value=5060","layer":4},{"info":"number node, value=3520","layer":4},{"info":"compute binary expreesion, left_input=5060, right_input=3520, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=2392, right_input=0, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=-5454","layer":2},{"info":"number node, value=1893","layer":4},{"info":"number node, value=1157","layer":4},{"info":"compute binary expreesion, left_input=1893, right_input=1157, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=736","layer":3},{"info":"number node, value=1683","layer":4},{"info":"compute unary expreesion, input=1683, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=736, right_input=-1, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-5454, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"number node, value=7974","layer":4},{"info":"compute unary expreesion, input=7974, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":3},{"info":"compute unary expreesion, input=1405, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=1405","layer":2},{"info":"number node, value=6757","layer":4},{"info":"number node, value=1431","layer":4},{"info":"compute binary expreesion, left_input=6757, right_input=1431, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"number node, value=1668","layer":4},{"info":"number node, value=1094","layer":4},{"info":"compute binary expreesion, left_input=1668, right_input=1094, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-8348640","layer":3},{"info":"compute binary expreesion, left_input=-204, right_input=-8348640, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=-53808","layer":2},{"info":"compute binary expreesion, left_input=1405, right_input=-53808, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=-53918","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-53918, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉3325⩵∡≴∭⊉20203)⊋(≴∭⊉20516≀⩗∶≴∭⊉13156))⪮%⊝(≴∭⊉5343⪛≴∭⊉3242)↞⋁(⊙↵-≴∭⊉4623)⊭↱(∷≠(⨣⨃⇪≴∭⊉32151))⫉⨲⊜(≴∭⊉25462⫳≱↱≴∭⊉4113)∋(≴∭⊉4602⨽≴∭⊉3122)=NaN","reverse_text":"NaN=((≴∭⊉3325⩵∡≴∭⊉20203)⊋(≴∭⊉20516≀⩗∶≴∭⊉13156))⪮%⊝(≴∭⊉5343⪛≴∭⊉3242)↞⋁(⊙↵-≴∭⊉4623)⊭↱(∷≠(⨣⨃⇪≴∭⊉32151))⫉⨲⊜(≴∭⊉25462⫳≱↱≴∭⊉4113)∋(≴∭⊉4602⨽≴∭⊉3122)","cot":[{"info":"≴∭⊉3325⩵∡≴∭⊉20203=≴∭⊉6655","layer":3},{"info":"≴∭⊉20516≀⩗∶≴∭⊉13156=≴∭⊉0","layer":3},{"info":"≴∭⊉6655⊋≴∭⊉0=≴∭⊉-21621","layer":2},{"info":"≴∭⊉5343⪛≴∭⊉3242=≴∭⊉2101","layer":3},{"info":"⊙↵-≴∭⊉4623=≴∭⊉-1","layer":3},{"info":"≴∭⊉2101↞⋁≴∭⊉-1=NaN","layer":2},{"info":"≴∭⊉-21621⪮%⊝NaN=NaN","layer":1},{"info":"⨣⨃⇪≴∭⊉32151=≴∭⊉4045","layer":3},{"info":"∷≠≴∭⊉4045=≴∭⊉4045","layer":2},{"info":"≴∭⊉25462⫳≱↱≴∭⊉4113=≴∭⊉-411","layer":3},{"info":"≴∭⊉4602��≴∭⊉3122=≴∭⊉-130651026","layer":3},{"info":"≴∭⊉-411∋≴∭⊉-130651026=≴∭⊉-312606","layer":2},{"info":"≴∭⊉4045⫉⨲⊜≴∭⊉-312606=≴∭⊉-313124","layer":1},{"info":"NaN⊭↱≴∭⊉-313124=NaN","layer":0}]}
+{"id":193,"expression_no_base_symbol":"((($2302$≋⫹)⫚⫇)⩵∡(⊬↢$1259$)⫰⋱$1154$⩚⊴⇥$1224$)⫉⨲⊜(($4411$⫁⪎$7204$)⊢($2070$⊭∹↮)∼($6804$↼⊘⨖$4415$⩷∴$1017$≹⇙⪍$1297$))","expression":"(((≴∭⊉6466≋⫹)⫚⫇)⩵∡(⊬↢≴∭⊉3446)⫰⋱≴∭⊉3236⩚⊴⇥≴∭⊉3366)⫉⨲⊜((≴∭⊉15601⫁⪎≴∭⊉30001)⊢(≴∭⊉6015⊭∹↮)∼(≴∭⊉25560↼⊘⨖≴∭⊉15605⩷∴≴∭⊉2652≹⇙⪍≴∭⊉3532))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1532,"operation_count":14,"complexity_ratio":109.42857142857143,"tree":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"unary","operator":"⫚⫇","unary_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":2302,"base":7}}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"numeric_atoms","value":1259,"base":7}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1154,"base":7},"right_expr":{"type":"numeric_atoms","value":1224,"base":7}}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":4411,"base":7},"right_expr":{"type":"numeric_atoms","value":7204,"base":7}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":2070,"base":7}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":6804,"base":7},"right_expr":{"type":"numeric_atoms","value":4415,"base":7}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1017,"base":7},"right_expr":{"type":"numeric_atoms","value":1297,"base":7}}}}},"used_operators":["WhqkvtTD3t","Y7wcNGrDQJ","SdCjLnB6rR","N41Kp7NANJ","6o9Blt3TJ6","WPoGxAaPR1","NTOWxs364D","DyGG3AbaNP","5twsqlHp2o","xRrnTEsQ6j","xNBdhnnwKq","9FxExcQeMw","bPywburJMS","AHs5Up7iyr"],"dependent_operators":["eewbuw0ToL","zVYPLywUTj","NTOWxs364D","glklzrTFfD","tifHPKVTfV","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","2td37pGCOC","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","dWAJyo7jo9"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2302","layer":4},{"info":"compute unary expreesion, input=2302, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-4604","layer":3},{"info":"compute unary expreesion, input=-4604, op_id = SdCjLnB6rR, unary_op_definition = 'a⫚⫇ = { ((⨞⊢87)⨸⪁((⩦⩻⨪a)≧⫂∧a)) }', output=-522","layer":2},{"info":"number node, value=1259","layer":4},{"info":"compute unary expreesion, input=1259, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=218","layer":3},{"info":"number node, value=1154","layer":4},{"info":"number node, value=1224","layer":4},{"info":"compute binary expreesion, left_input=1154, right_input=1224, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-2499","layer":3},{"info":"compute binary expreesion, left_input=218, right_input=-2499, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=2348","layer":2},{"info":"compute binary expreesion, left_input=-522, right_input=2348, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=3793","layer":1},{"info":"number node, value=4411","layer":4},{"info":"number node, value=7204","layer":4},{"info":"compute binary expreesion, left_input=4411, right_input=7204, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-2793","layer":3},{"info":"number node, value=2070","layer":4},{"info":"compute unary expreesion, input=2070, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=4140","layer":3},{"info":"compute binary expreesion, left_input=-2793, right_input=4140, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=5342","layer":2},{"info":"number node, value=6804","layer":4},{"info":"number node, value=4415","layer":4},{"info":"compute binary expreesion, left_input=6804, right_input=4415, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=8608","layer":3},{"info":"number node, value=1017","layer":4},{"info":"number node, value=1297","layer":4},{"info":"compute binary expreesion, left_input=1017, right_input=1297, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=8608, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=5342, right_input=nan, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=3793, right_input=nan, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":0}],"base":7,"result_base":7,"text":"(((≴∭⊉6466≋⫹)⫚⫇)⩵∡(⊬↢≴∭⊉3446)⫰⋱≴∭⊉3236⩚⊴⇥≴∭⊉3366)⫉⨲⊜((≴∭⊉15601⫁⪎≴∭⊉30001)⊢(≴∭⊉6015⊭∹↮)∼(≴∭⊉25560↼⊘⨖≴∭⊉15605⩷∴≴∭⊉2652≹⇙⪍≴∭⊉3532))=≴∭⊉0","reverse_text":"≴∭⊉0=(((≴∭⊉6466≋⫹)⫚⫇)⩵∡(⊬↢≴∭⊉3446)⫰⋱≴∭⊉3236⩚⊴⇥≴∭⊉3366)⫉⨲⊜((≴∭⊉15601⫁⪎≴∭⊉30001)⊢(≴∭⊉6015⊭∹↮)∼(≴∭⊉25560↼⊘⨖≴∭⊉15605⩷∴≴∭⊉2652≹⇙⪍≴∭⊉3532))","cot":[{"info":"≴∭⊉6466≋⫹=≴∭⊉-16265","layer":3},{"info":"≴∭⊉-16265⫚⫇=≴∭⊉-1344","layer":2},{"info":"⊬↢≴∭⊉3446=≴∭⊉431","layer":3},{"info":"≴∭⊉3236⩚⊴⇥≴∭⊉3366=≴∭⊉-10200","layer":3},{"info":"≴∭⊉431⫰⋱≴∭⊉-10200=≴∭⊉6563","layer":2},{"info":"≴∭⊉-1344⩵∡≴∭⊉6563=≴∭⊉14026","layer":1},{"info":"≴∭⊉15601⫁⪎≴∭⊉30001=≴∭⊉-11100","layer":3},{"info":"≴∭⊉6015⊭∹↮=≴∭⊉15033","layer":3},{"info":"≴∭⊉-11100⊢≴∭⊉15033=≴∭⊉21401","layer":2},{"info":"≴∭⊉25560↼⊘⨖≴∭⊉15605=≴∭⊉34045","layer":3},{"info":"≴∭⊉2652≹⇙⪍≴∭⊉3532=NaN","layer":3},{"info":"≴∭⊉34045⩷∴NaN=NaN","layer":2},{"info":"≴∭⊉21401∼NaN=NaN","layer":1},{"info":"≴∭⊉14026⫉⨲⊜NaN=≴∭⊉0","layer":0}]}
+{"id":194,"expression_no_base_symbol":"≉($2137$⨜⨶$4501$⫁⪎(+⊝⨔$2749$)⫔⩽⩺($2275$⩚⊴⇥$5749$)≄⊠$2952$∌$6644$)","expression":"≉(≴∭⊉6142⨜⨶≴∭⊉16060⫁⪎(+⊝⨔≴∭⊉11005)⫔⩽⩺(≴∭⊉6430⩚⊴⇥≴∭⊉22522)≄⊠≴∭⊉11415∌≴∭⊉25241)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":188,"operation_count":8,"complexity_ratio":23.5,"tree":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":2137,"base":7},"right_expr":{"type":"numeric_atoms","value":4501,"base":7}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":2749,"base":7}}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2275,"base":7},"right_expr":{"type":"numeric_atoms","value":5749,"base":7}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":2952,"base":7},"right_expr":{"type":"numeric_atoms","value":6644,"base":7}}}}},"used_operators":["e1ybzncUwg","i9eR4S00cU","xRrnTEsQ6j","HiPekx5b7W","DhbWaqg5eL","vXNesLlMH1","NTOWxs364D","8cLx32lpNA"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","Tw270M8GLb","fu6greOZ01","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2137","layer":4},{"info":"number node, value=4501","layer":4},{"info":"compute binary expreesion, left_input=2137, right_input=4501, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-8746","layer":3},{"info":"number node, value=2749","layer":4},{"info":"compute unary expreesion, input=2749, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":3},{"info":"compute binary expreesion, left_input=-8746, right_input=1522, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-10268","layer":2},{"info":"number node, value=2275","layer":4},{"info":"number node, value=5749","layer":4},{"info":"compute binary expreesion, left_input=2275, right_input=5749, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-8145","layer":3},{"info":"number node, value=2952","layer":4},{"info":"number node, value=6644","layer":4},{"info":"compute binary expreesion, left_input=2952, right_input=6644, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-6644","layer":3},{"info":"compute binary expreesion, left_input=-8145, right_input=-6644, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":2},{"info":"compute binary expreesion, left_input=-10268, right_input=1500, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"≉(≴∭⊉6142⨜⨶≴∭⊉16060⫁⪎(+⊝⨔≴∭⊉11005)⫔⩽⩺(≴∭⊉6430⩚⊴⇥≴∭⊉22522)≄⊠≴∭⊉11415∌≴∭⊉25241)=NaN","reverse_text":"NaN=≉(≴∭⊉6142⨜⨶≴∭⊉16060⫁⪎(+⊝⨔≴∭⊉11005)⫔⩽⩺(≴∭⊉6430⩚⊴⇥≴∭⊉22522)≄⊠≴∭⊉11415∌≴∭⊉25241)","cot":[{"info":"≴∭⊉6142⨜⨶≴∭⊉16060=≴∭⊉-34333","layer":3},{"info":"+⊝⨔≴∭⊉11005=≴∭⊉4303","layer":3},{"info":"≴∭⊉-34333⫁⪎≴∭⊉4303=≴∭⊉-41636","layer":2},{"info":"≴∭⊉6430⩚⊴⇥≴∭⊉22522=≴∭⊉-32514","layer":3},{"info":"≴∭⊉11415∌≴∭⊉25241=≴∭⊉-25241","layer":3},{"info":"≴∭⊉-32514≄⊠≴∭⊉-25241=≴∭⊉4242","layer":2},{"info":"≴∭⊉-41636⫔⩽⩺≴∭⊉4242=NaN","layer":1},{"info":"≉NaN=NaN","layer":0}]}
+{"id":195,"expression_no_base_symbol":"($4584$≠≀$1847$)⨜⨶$3389$⊕∕$7431$⋓($1261$⫯⪬∳$1117$)⩦($4674$⨎⋸⪻)⪨≂($3141$⨔≚≋$3221$)⪒⊣⊆(⨣⨃⇪$4958$)⨐⩸⫘($6709$⪛$5870$)≚⊃≕$5816$≁↽≥$7660$","expression":"(≴∭⊉16236≠≀≴∭⊉5246)⨜⨶≴∭⊉12611⊕∕≴∭⊉30444⋓(≴∭⊉3451⫯⪬∳≴∭⊉3154)⩦(≴∭⊉16425⨎⋸⪻)⪨≂(≴∭⊉12105⨔≚≋≴∭⊉12251)⪒⊣⊆(⨣⨃⇪≴∭⊉20312)⨐⩸⫘(≴∭⊉25363⪛≴∭⊉23054)≚⊃≕≴∭⊉22646≁↽≥≴∭⊉31222","highest_n_order":4,"priority_hierarchical_complexity":14,"normalized_expansion_degree":206,"operation_count":15,"complexity_ratio":13.733333333333333,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":4584,"base":7},"right_expr":{"type":"numeric_atoms","value":1847,"base":7}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":3389,"base":7},"right_expr":{"type":"numeric_atoms","value":7431,"base":7}}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":1261,"base":7},"right_expr":{"type":"numeric_atoms","value":1117,"base":7}},"right_expr":{"type":"unary","operator":"⨎⋸⪻","unary_expr":{"type":"numeric_atoms","value":4674,"base":7}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":3141,"base":7},"right_expr":{"type":"numeric_atoms","value":3221,"base":7}},"right_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"numeric_atoms","value":4958,"base":7}}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":6709,"base":7},"right_expr":{"type":"numeric_atoms","value":5870,"base":7}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":5816,"base":7},"right_expr":{"type":"numeric_atoms","value":7660,"base":7}}}}},"used_operators":["sdazOOVcIp","T2fj7uvVaJ","HiPekx5b7W","IwW236VD4Y","9cloC0Ngie","0kmYd0q39Y","d7ASUq0ydm","Dk5vyLCiGd","fu6greOZ01","eRqsBgTDFp","Z57zeUYC9z","AcOhelriW5","Bmrmz2XGnR","uFcxV4UQCh","ncHt1X6cMc"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","IWmyXbctLI","3ViojmjbAp","sdazOOVcIp","W4YGzv6Whe","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","oWn0xqSxBt","3Oe9XWJUTD"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4584","layer":4},{"info":"number node, value=1847","layer":4},{"info":"compute binary expreesion, left_input=4584, right_input=1847, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-8862","layer":3},{"info":"number node, value=3389","layer":4},{"info":"number node, value=7431","layer":4},{"info":"compute binary expreesion, left_input=3389, right_input=7431, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=3389","layer":3},{"info":"compute binary expreesion, left_input=-8862, right_input=3389, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-6522","layer":2},{"info":"number node, value=1261","layer":4},{"info":"number node, value=1117","layer":4},{"info":"compute binary expreesion, left_input=1261, right_input=1117, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=5221","layer":3},{"info":"number node, value=4674","layer":4},{"info":"compute unary expreesion, input=4674, op_id = Dk5vyLCiGd, unary_op_definition = 'a⨎⋸⪻ = { (a⪮%⊝26) }', output=9664","layer":3},{"info":"compute binary expreesion, left_input=5221, right_input=9664, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=10442","layer":2},{"info":"compute binary expreesion, left_input=-6522, right_input=10442, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":1},{"info":"number node, value=3141","layer":4},{"info":"number node, value=3221","layer":4},{"info":"compute binary expreesion, left_input=3141, right_input=3221, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"number node, value=4958","layer":4},{"info":"compute unary expreesion, input=4958, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":3},{"info":"compute binary expreesion, left_input=9872, right_input=1405, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=19744","layer":2},{"info":"number node, value=6709","layer":4},{"info":"number node, value=5870","layer":4},{"info":"compute binary expreesion, left_input=6709, right_input=5870, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=839","layer":3},{"info":"number node, value=5816","layer":4},{"info":"number node, value=7660","layer":4},{"info":"compute binary expreesion, left_input=5816, right_input=7660, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=97172","layer":3},{"info":"compute binary expreesion, left_input=839, right_input=97172, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=-293334","layer":2},{"info":"compute binary expreesion, left_input=19744, right_input=-293334, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉16236≠≀≴∭⊉5246)⨜⨶≴∭⊉12611⊕∕≴∭⊉30444⋓(≴∭⊉3451⫯⪬∳≴∭⊉3154)⩦(≴∭⊉16425⨎⋸⪻)⪨≂(≴∭⊉12105⨔≚≋≴∭⊉12251)⪒⊣⊆(⨣⨃⇪≴∭⊉20312)⨐⩸⫘(≴∭⊉25363⪛≴∭⊉23054)≚⊃≕≴∭⊉22646≁↽≥≴∭⊉31222=NaN","reverse_text":"NaN=(≴∭⊉16236≠≀≴∭⊉5246)⨜⨶≴∭⊉12611⊕∕≴∭⊉30444⋓(≴∭⊉3451⫯⪬∳≴∭⊉3154)⩦(≴∭⊉16425⨎⋸⪻)⪨≂(≴∭⊉12105⨔≚≋≴∭⊉12251)⪒⊣⊆(⨣⨃⇪≴∭⊉20312)⨐⩸⫘(≴∭⊉25363⪛≴∭⊉23054)≚⊃≕≴∭⊉22646≁↽≥≴∭⊉31222","cot":[{"info":"≴∭⊉16236≠≀≴∭⊉5246=≴∭⊉-34560","layer":3},{"info":"≴∭⊉12611⊕∕≴∭⊉30444=≴∭⊉12611","layer":3},{"info":"≴∭⊉-34560⨜⨶≴∭⊉12611=≴∭⊉-25005","layer":2},{"info":"≴∭⊉3451⫯⪬∳≴∭⊉3154=≴∭⊉21136","layer":3},{"info":"≴∭⊉16425⨎⋸⪻=≴∭⊉40114","layer":3},{"info":"≴∭⊉21136⩦≴∭⊉40114=≴∭⊉42305","layer":2},{"info":"≴∭⊉-25005⋓≴∭⊉42305=≴∭⊉0","layer":1},{"info":"≴∭⊉12105⨔≚≋≴∭⊉12251=≴∭⊉40532","layer":3},{"info":"⨣⨃⇪≴∭⊉20312=≴∭⊉4045","layer":3},{"info":"≴∭⊉40532⪒⊣⊆≴∭⊉4045=≴∭⊉111364","layer":2},{"info":"≴∭⊉25363⪛≴∭⊉23054=≴∭⊉2306","layer":3},{"info":"≴∭⊉22646≁↽≥≴∭⊉31222=≴∭⊉553205","layer":3},{"info":"≴∭⊉2306≚⊃≕≴∭⊉553205=≴∭⊉-2331126","layer":2},{"info":"≴∭⊉111364⨐⩸⫘≴∭⊉-2331126=NaN","layer":1},{"info":"≴∭⊉0⪨≂NaN=NaN","layer":0}]}
+{"id":196,"expression_no_base_symbol":"(⊢≑≆(($7314$⫚↹⊑$2443$)⨽⪊≇))⪭(≯($1916$↛⩡⫤)⪬($1070$≁↽≥$1194$))","expression":"(⊢≑≆((≴∭⊉30216⫚↹⊑≴∭⊉10060)⨽⪊≇))⪭(≯(≴∭⊉5405↛⩡⫤)⪬(≴∭⊉3056≁↽≥≴∭⊉3324))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":6523,"operation_count":8,"complexity_ratio":815.375,"tree":{"type":"binary","operator":"⪭","left_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"unary","operator":"⨽⪊≇","unary_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":7314,"base":7},"right_expr":{"type":"numeric_atoms","value":2443,"base":7}}}},"right_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":1916,"base":7}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":1070,"base":7},"right_expr":{"type":"numeric_atoms","value":1194,"base":7}}}}},"used_operators":["j9kHMeSvPp","27wFxooxGf","nlCqmYiOvY","dfKe02y8D2","keWfFq85dY","Ez1Nq5fNfI","FU0Cs4j7VP","ncHt1X6cMc"],"dependent_operators":["COABgblf1C","xUOZtlo3hN","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","W4YGzv6Whe","sdazOOVcIp","XIabStNQrY","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","g55IO6H4Gj","JLbD19bQDL","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","oWn0xqSxBt","3Oe9XWJUTD"],"result":"≴∭⊉5","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=7314","layer":4},{"info":"number node, value=2443","layer":4},{"info":"compute binary expreesion, left_input=7314, right_input=2443, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"compute unary expreesion, input=-447, op_id = nlCqmYiOvY, unary_op_definition = 'a⨽⪊≇ = { ((a⇋≉)⪨≂(a+216)) }', output=-1420","layer":2},{"info":"compute unary expreesion, input=-1420, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=3033","layer":1},{"info":"number node, value=1916","layer":4},{"info":"compute unary expreesion, input=1916, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-285405","layer":3},{"info":"number node, value=1070","layer":4},{"info":"number node, value=1194","layer":4},{"info":"compute binary expreesion, left_input=1070, right_input=1194, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=21366","layer":3},{"info":"compute binary expreesion, left_input=-285405, right_input=21366, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"compute unary expreesion, input=1234, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=3033, right_input=0, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":0}],"base":7,"result_base":7,"text":"(⊢≑≆((≴∭⊉30216⫚↹⊑≴∭⊉10060)⨽⪊≇))⪭(≯(≴∭⊉5405↛⩡⫤)⪬(≴∭⊉3056≁↽≥≴∭⊉3324))=≴∭⊉5","reverse_text":"≴∭⊉5=(⊢≑≆((≴∭⊉30216⫚↹⊑≴∭⊉10060)⨽⪊≇))⪭(≯(≴∭⊉5405↛⩡⫤)⪬(≴∭⊉3056≁↽≥≴∭⊉3324))","cot":[{"info":"≴∭⊉30216⫚↹⊑≴∭⊉10060=≴∭⊉-1206","layer":3},{"info":"≴∭⊉-1206⨽⪊≇=≴∭⊉-4066","layer":2},{"info":"⊢≑≆≴∭⊉-4066=≴∭⊉11562","layer":1},{"info":"≴∭⊉5405↛⩡⫤=≴∭⊉-2266041","layer":3},{"info":"≴∭⊉3056≁↽≥≴∭⊉3324=≴∭⊉116202","layer":3},{"info":"≴∭⊉-2266041⪬≴∭⊉116202=≴∭⊉3412","layer":2},{"info":"≯≴∭⊉3412=≴∭⊉0","layer":1},{"info":"≴∭⊉11562⪭≴∭⊉0=≴∭⊉5","layer":0}]}
+{"id":197,"expression_no_base_symbol":"(⇋↷(⫖→(⋗⩴⪓$3621$)))⨹","expression":"(⇋↷(⫖→(⋗⩴⪓≴∭⊉13362)))⨹","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9783,"operation_count":4,"complexity_ratio":2445.75,"tree":{"type":"unary","operator":"⨹","unary_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"numeric_atoms","value":3621,"base":7}}}}},"used_operators":["UnCoSGIALn","SWo3A1KBJH","U4ylXWHChL","nOKPl9n5zu"],"dependent_operators":["mp7IySMOzn","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG"],"result":"≴∭⊉11154","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3621","layer":4},{"info":"compute unary expreesion, input=3621, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=-2708","layer":3},{"info":"compute unary expreesion, input=-2708, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":2},{"info":"compute unary expreesion, input=177, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=1416","layer":1},{"info":"compute unary expreesion, input=1416, op_id = UnCoSGIALn, unary_op_definition = 'a⨹ = { (229⇷a) }', output=2832","layer":0}],"base":7,"result_base":7,"text":"(⇋↷(⫖→(⋗⩴⪓≴∭⊉13362)))⨹=≴∭⊉11154","reverse_text":"≴∭⊉11154=(⇋↷(⫖→(⋗⩴⪓≴∭⊉13362)))⨹","cot":[{"info":"⋗⩴⪓≴∭⊉13362=≴∭⊉-10616","layer":3},{"info":"⫖→≴∭⊉-10616=≴∭⊉342","layer":2},{"info":"⇋↷≴∭⊉342=≴∭⊉4062","layer":1},{"info":"≴∭⊉4062⨹=≴∭⊉11154","layer":0}]}
+{"id":198,"expression_no_base_symbol":"(⫖→($1532$⫡⨏$1258$)⨒$1181$↬$1319$)⊝⪿⪼(↩⪖(≯($1399$⨫⇇↔$7996$)))","expression":"(⫖→(≴∭⊉4316⫡⨏≴∭⊉3445)⨒≴∭⊉3305↬≴∭⊉3563)⊝⪿⪼(↩⪖(≯(≴∭⊉4036⨫⇇↔≴∭⊉32212)))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":288,"operation_count":8,"complexity_ratio":36.0,"tree":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1532,"base":7},"right_expr":{"type":"numeric_atoms","value":1258,"base":7}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1181,"base":7},"right_expr":{"type":"numeric_atoms","value":1319,"base":7}}}},"right_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":1399,"base":7},"right_expr":{"type":"numeric_atoms","value":7996,"base":7}}}}},"used_operators":["3Oe9XWJUTD","U4ylXWHChL","y75s1iXyHd","QMFrweE19q","B5M0gjZbta","fG6uBQFnGz","keWfFq85dY","LXhwmt4mBO"],"dependent_operators":["NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","g55IO6H4Gj","JLbD19bQDL","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK"],"result":"≴∭⊉103540","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1532","layer":4},{"info":"number node, value=1258","layer":4},{"info":"compute binary expreesion, left_input=1532, right_input=1258, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=10959","layer":3},{"info":"number node, value=1181","layer":4},{"info":"number node, value=1319","layer":4},{"info":"compute binary expreesion, left_input=1181, right_input=1319, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=10959, right_input=nan, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":1},{"info":"number node, value=1399","layer":4},{"info":"number node, value=7996","layer":4},{"info":"compute binary expreesion, left_input=1399, right_input=7996, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"compute unary expreesion, input=-527, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-2982","layer":1},{"info":"compute binary expreesion, left_input=177, right_input=-2982, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=18109","layer":0}],"base":7,"result_base":7,"text":"(⫖→(≴∭⊉4316⫡⨏≴∭⊉3445)⨒≴∭⊉3305↬≴∭⊉3563)⊝⪿⪼(↩⪖(≯(≴∭⊉4036⨫⇇↔≴∭⊉32212)))=≴∭⊉103540","reverse_text":"≴∭⊉103540=(⫖→(≴∭⊉4316⫡⨏≴∭⊉3445)⨒≴∭⊉3305↬≴∭⊉3563)⊝⪿⪼(↩⪖(≯(≴∭⊉4036⨫⇇↔≴∭⊉32212)))","cot":[{"info":"≴∭⊉4316⫡⨏≴∭⊉3445=≴∭⊉43644","layer":3},{"info":"≴∭⊉3305↬≴∭⊉3563=NaN","layer":3},{"info":"≴∭⊉43644⨒NaN=NaN","layer":2},{"info":"⫖→NaN=≴∭⊉342","layer":1},{"info":"≴∭⊉4036⨫⇇↔≴∭⊉32212=≴∭⊉-1352","layer":3},{"info":"≯≴∭⊉-1352=≴∭⊉0","layer":2},{"info":"↩⪖≴∭⊉0=≴∭⊉-11460","layer":1},{"info":"≴∭⊉342⊝⪿⪼≴∭⊉-11460=≴∭⊉103540","layer":0}]}
+{"id":199,"expression_no_base_symbol":"((≀↧⇸$4454$)⇴(⊲⪭$1426$)⨒(∮($4648$⊭∹↮)))⋓(⊊≼∋(($1670$⫢⨠$4673$)⇴∐($3899$∷)))","expression":"((≀↧⇸≴∭⊉15662)⇴(⊲⪭≴∭⊉4105)⨒(∮(≴∭⊉16360⊭∹↮)))⋓(⊊≼∋((≴∭⊉4604⫢⨠≴∭⊉16424)⇴∐(≴∭⊉14240∷)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":464,"operation_count":11,"complexity_ratio":42.18181818181818,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"numeric_atoms","value":4454,"base":7}},"right_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"numeric_atoms","value":1426,"base":7}}},"right_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":4648,"base":7}}}},"right_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":1670,"base":7},"right_expr":{"type":"numeric_atoms","value":4673,"base":7}},"right_expr":{"type":"unary","operator":"∷","unary_expr":{"type":"numeric_atoms","value":3899,"base":7}}}}},"used_operators":["T2fj7uvVaJ","y75s1iXyHd","4JB6nKBMSY","ljTHtUsqzn","k7HXdKtiEU","CqXKPLVYql","xNBdhnnwKq","FWz7pXsQhA","HnzytWxmAO","xlXykHWxX1","nFAOW8KTqp"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","sdazOOVcIp","NTOWxs364D","COABgblf1C","XPYlsWDdGa","23Mk6UjR3U","i8ToyICDmI","xUOZtlo3hN","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","B5M0gjZbta","jCPkEVoL5K","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","D4vGDi5EA2","t8gj7n24qd","2DDjHMKMc0"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4454","layer":4},{"info":"compute unary expreesion, input=4454, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=8908","layer":3},{"info":"number node, value=1426","layer":4},{"info":"compute unary expreesion, input=1426, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-1600","layer":3},{"info":"compute binary expreesion, left_input=8908, right_input=-1600, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=49862","layer":2},{"info":"number node, value=4648","layer":4},{"info":"compute unary expreesion, input=4648, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=9296","layer":3},{"info":"compute unary expreesion, input=9296, op_id = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=49862, right_input=67, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=0","layer":1},{"info":"number node, value=1670","layer":4},{"info":"number node, value=4673","layer":4},{"info":"compute binary expreesion, left_input=1670, right_input=4673, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"number node, value=3899","layer":4},{"info":"compute unary expreesion, input=3899, op_id = nFAOW8KTqp, unary_op_definition = 'a∷ = { ((-(a⋝⋈⪟a))≦≮≮) }', output=11697","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=11697, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=-226","layer":2},{"info":"compute unary expreesion, input=-226, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((≀↧⇸≴∭⊉15662)⇴(⊲⪭≴∭⊉4105)⨒(∮(≴∭⊉16360⊭∹↮)))⋓(⊊≼∋((≴∭⊉4604⫢⨠≴∭⊉16424)⇴∐(≴∭⊉14240∷)))=NaN","reverse_text":"NaN=((≀↧⇸≴∭⊉15662)⇴(⊲⪭≴∭⊉4105)⨒(∮(≴∭⊉16360⊭∹↮)))⋓(⊊≼∋((≴∭⊉4604⫢⨠≴∭⊉16424)⇴∐(≴∭⊉14240∷)))","cot":[{"info":"≀↧⇸≴∭⊉15662=≴∭⊉34654","layer":3},{"info":"⊲⪭≴∭⊉4105=≴∭⊉-4444","layer":3},{"info":"≴∭⊉34654⇴≴∭⊉-4444=≴∭⊉265241","layer":2},{"info":"≴∭⊉16360⊭∹↮=≴∭⊉36050","layer":3},{"info":"∮≴∭⊉36050=≴∭⊉124","layer":2},{"info":"≴∭⊉265241⨒≴∭⊉124=≴∭⊉0","layer":1},{"info":"≴∭⊉4604⫢⨠≴∭⊉16424=≴∭⊉316","layer":3},{"info":"≴∭⊉14240∷=≴∭⊉46050","layer":3},{"info":"≴∭⊉316⇴∐≴∭⊉46050=≴∭⊉-442","layer":2},{"info":"⊊≼∋≴∭⊉-442=NaN","layer":1},{"info":"≴∭⊉0⋓NaN=NaN","layer":0}]}
+{"id":200,"expression_no_base_symbol":"⪸(($2904$≀⩗∶$7896$)⊕∕($3742$⇣⩺⋵$4028$)∙⊟((⇾⩊⇾$4841$)⫚↹⊑$1224$⫰⋱$5065$))","expression":"⪸((≴∭⊉11316≀⩗∶≴∭⊉32010)⊕∕(≴∭⊉13624⇣⩺⋵≴∭⊉14513)∙⊟((⇾⩊⇾≴∭⊉20054)⫚↹⊑≴∭⊉3366⫰⋱≴∭⊉20524))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":199,"operation_count":8,"complexity_ratio":24.875,"tree":{"type":"unary","operator":"⪸","unary_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":2904,"base":7},"right_expr":{"type":"numeric_atoms","value":7896,"base":7}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":3742,"base":7},"right_expr":{"type":"numeric_atoms","value":4028,"base":7}}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"numeric_atoms","value":4841,"base":7}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":1224,"base":7},"right_expr":{"type":"numeric_atoms","value":5065,"base":7}}}}},"used_operators":["86A5ENbKR9","SxTAKzQCrw","9cloC0Ngie","8INZBEW696","F4yD0voBRQ","dfKe02y8D2","bx9Z9DAK5y","6o9Blt3TJ6"],"dependent_operators":["Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF"],"result":"≴∭⊉-3141522","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2904","layer":4},{"info":"number node, value=7896","layer":4},{"info":"compute binary expreesion, left_input=2904, right_input=7896, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=-6","layer":3},{"info":"number node, value=3742","layer":4},{"info":"number node, value=4028","layer":4},{"info":"compute binary expreesion, left_input=3742, right_input=4028, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"compute binary expreesion, left_input=-6, right_input=-260, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=-6","layer":2},{"info":"number node, value=4841","layer":4},{"info":"compute unary expreesion, input=4841, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-50055","layer":3},{"info":"number node, value=1224","layer":4},{"info":"number node, value=5065","layer":4},{"info":"compute binary expreesion, left_input=1224, right_input=5065, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-1191","layer":3},{"info":"compute binary expreesion, left_input=-50055, right_input=-1191, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=-6, right_input=-447, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=22363","layer":1},{"info":"compute unary expreesion, input=22363, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-379962","layer":0}],"base":7,"result_base":7,"text":"⪸((≴∭⊉11316≀⩗∶≴∭⊉32010)⊕∕(≴∭⊉13624⇣⩺⋵≴∭⊉14513)∙⊟((⇾⩊⇾≴∭⊉20054)⫚↹⊑≴∭⊉3366⫰⋱≴∭⊉20524))=≴∭⊉-3141522","reverse_text":"≴∭⊉-3141522=⪸((≴∭⊉11316≀⩗∶≴∭⊉32010)⊕∕(≴∭⊉13624⇣⩺⋵≴∭⊉14513)∙⊟((⇾⩊⇾≴∭⊉20054)⫚↹⊑≴∭⊉3366⫰⋱≴∭⊉20524))","cot":[{"info":"≴∭⊉11316≀⩗∶≴∭⊉32010=≴∭⊉-6","layer":3},{"info":"≴∭⊉13624⇣⩺⋵≴∭⊉14513=≴∭⊉-521","layer":3},{"info":"≴∭⊉-6⊕∕≴∭⊉-521=≴∭⊉-6","layer":2},{"info":"⇾⩊⇾≴∭⊉20054=≴∭⊉-265635","layer":3},{"info":"≴∭⊉3366⫰⋱≴∭⊉20524=≴∭⊉-3321","layer":3},{"info":"≴∭⊉-265635⫚↹⊑≴∭⊉-3321=≴∭⊉-1206","layer":2},{"info":"≴∭⊉-6∙⊟≴∭⊉-1206=≴∭⊉122125","layer":1},{"info":"⪸≴∭⊉122125=≴∭⊉-3141522","layer":0}]}
+{"id":201,"expression_no_base_symbol":"(⊊≼∋($1843$⇼⇔∾$2069$))⋥≓≎((⨈⫕$3109$)↡⊰⫅$2329$⋥⋵⩄$6521$)≓∲((⫓⪴$5020$)≴⪞⇿($1823$↬⩅∪)⇉⇉)","expression":"(⊊≼∋(≴∭⊉5242⇼⇔∾≴∭⊉6014))⋥≓≎((⨈⫕≴∭⊉12031)↡⊰⫅≴∭⊉6535⋥⋵⩄≴∭⊉25004)≓∲((⫓⪴≴∭⊉20431)≴⪞⇿(≴∭⊉5213↬⩅∪)⇉⇉)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":25207476,"operation_count":11,"complexity_ratio":2291588.727272727,"tree":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1843,"base":7},"right_expr":{"type":"numeric_atoms","value":2069,"base":7}}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":3109,"base":7}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":2329,"base":7},"right_expr":{"type":"numeric_atoms","value":6521,"base":7}}}},"right_expr":{"type":"unary","operator":"⇉⇉","unary_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":5020,"base":7}},"right_expr":{"type":"unary","operator":"↬⩅∪","unary_expr":{"type":"numeric_atoms","value":1823,"base":7}}}}},"used_operators":["s1XTVnmDOJ","Qy55tPpLXF","FWz7pXsQhA","tifHPKVTfV","VCtxkLNOzz","megm06wKyl","7t3wd0Fuz7","diKm42VcIt","lvlrscuwVU","eLxqMNBOBk","VJ330n2nnx"],"dependent_operators":["HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","jCPkEVoL5K","rysDP5nf3Z","t8gj7n24qd","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","RygbFNSyEJ","XPYlsWDdGa","k8jYdgA6NY","xUOZtlo3hN","AFVx7xoS7T","iuk5sVOGFA","86A5ENbKR9","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","9HNa5Wba9A","D4vGDi5EA2","23Mk6UjR3U","u6S6b8DprG"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1843","layer":4},{"info":"number node, value=2069","layer":4},{"info":"compute binary expreesion, left_input=1843, right_input=2069, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=226","layer":3},{"info":"compute unary expreesion, input=226, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=-763","layer":2},{"info":"number node, value=3109","layer":4},{"info":"compute unary expreesion, input=3109, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":3},{"info":"number node, value=2329","layer":4},{"info":"number node, value=6521","layer":4},{"info":"compute binary expreesion, left_input=2329, right_input=6521, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=113, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=226","layer":2},{"info":"compute binary expreesion, left_input=-763, right_input=226, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":1},{"info":"number node, value=5020","layer":4},{"info":"compute unary expreesion, input=5020, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=25200400","layer":3},{"info":"number node, value=1823","layer":4},{"info":"compute unary expreesion, input=1823, op_id = VJ330n2nnx, unary_op_definition = 'a↬⩅∪ = { (a≦≮≮) , if (↽≂a)!=185 or a>=376 or a<=585 ; (a⋷a) , else }', output=-5469","layer":3},{"info":"compute binary expreesion, left_input=25200400, right_input=-5469, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=inf","layer":2},{"info":"compute unary expreesion, input=inf, op_id = diKm42VcIt, unary_op_definition = 'a⇉⇉ = { (⪸(⨞⊢(a≦↸a))) , if (a⪣⫩)!=30 ; (a%(⪲⇎(a⇌⫙⪟156))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(⊊≼∋(≴∭⊉5242⇼⇔∾≴∭⊉6014))⋥≓≎((⨈⫕≴∭⊉12031)↡⊰⫅≴∭⊉6535⋥⋵⩄≴∭⊉25004)≓∲((⫓⪴≴∭⊉20431)≴⪞⇿(≴∭⊉5213↬⩅∪)⇉⇉)=NaN","reverse_text":"NaN=(⊊≼∋(≴∭⊉5242⇼⇔∾≴∭⊉6014))⋥≓≎((⨈⫕≴∭⊉12031)↡⊰⫅≴∭⊉6535⋥⋵⩄≴∭⊉25004)≓∲((⫓⪴≴∭⊉20431)≴⪞⇿(≴∭⊉5213↬⩅∪)⇉⇉)","cot":[{"info":"≴∭⊉5242⇼⇔∾≴∭⊉6014=≴∭⊉442","layer":3},{"info":"⊊≼∋≴∭⊉442=≴∭⊉-2140","layer":2},{"info":"⨈⫕≴∭⊉12031=≴∭⊉-30","layer":3},{"info":"≴∭⊉6535⋥⋵⩄≴∭⊉25004=≴∭⊉221","layer":3},{"info":"≴∭⊉-30↡⊰⫅≴∭⊉221=≴∭⊉442","layer":2},{"info":"≴∭⊉-2140⋥≓≎≴∭⊉442=≴∭⊉124","layer":1},{"info":"⫓⪴≴∭⊉20431=≴∭⊉424125361","layer":3},{"info":"≴∭⊉5213↬⩅∪=≴∭⊉-21642","layer":3},{"info":"≴∭⊉424125361≴⪞⇿≴∭⊉-21642=Inf","layer":2},{"info":"Inf⇉⇉=NaN","layer":1},{"info":"≴∭⊉124≓∲NaN=NaN","layer":0}]}
+{"id":202,"expression_no_base_symbol":"⨦⪝(∐⩳⋚(⩷($4656$⫢⨠$2829$)))","expression":"⨦⪝(∐⩳⋚(⩷(≴∭⊉16401⫢⨠≴∭⊉11151)))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":285,"operation_count":4,"complexity_ratio":71.25,"tree":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":4656,"base":7},"right_expr":{"type":"numeric_atoms","value":2829,"base":7}}}}},"used_operators":["SUjycxNXIR","SL6IHkK8vl","1h0rLqGiFr","xlXykHWxX1"],"dependent_operators":["V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx"],"result":"≴∭⊉-5331","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4656","layer":4},{"info":"number node, value=2829","layer":4},{"info":"compute binary expreesion, left_input=4656, right_input=2829, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-1999","layer":2},{"info":"compute unary expreesion, input=-1999, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=-615648","layer":1},{"info":"compute unary expreesion, input=-615648, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":0}],"base":7,"result_base":7,"text":"⨦⪝(∐⩳⋚(⩷(≴∭⊉16401⫢⨠≴∭⊉11151)))=≴∭⊉-5331","reverse_text":"≴∭⊉-5331=⨦⪝(∐⩳⋚(⩷(≴∭⊉16401⫢⨠≴∭⊉11151)))","cot":[{"info":"≴∭⊉16401⫢⨠≴∭⊉11151=≴∭⊉316","layer":3},{"info":"⩷≴∭⊉316=≴∭⊉-5554","layer":2},{"info":"∐⩳⋚≴∭⊉-5554=≴∭⊉-5142615","layer":1},{"info":"⨦⪝≴∭⊉-5142615=≴∭⊉-5331","layer":0}]}
+{"id":203,"expression_no_base_symbol":"(≋$6806$)⨂≜($4603$≄⊠$2748$)+⇶⊼$2343$⫁$1012$↳≱($1334$⇤$3703$)⨉","expression":"(≋≴∭⊉25562)⨂≜(≴∭⊉16264≄⊠≴∭⊉11004)+⇶⊼≴∭⊉6555⫁≴∭⊉2644↳≱(≴∭⊉3614⇤≴∭⊉13540)⨉","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":7088,"operation_count":8,"complexity_ratio":886.0,"tree":{"type":"unary","operator":"⨉","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"numeric_atoms","value":6806,"base":7}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":4603,"base":7},"right_expr":{"type":"numeric_atoms","value":2748,"base":7}}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":2343,"base":7},"right_expr":{"type":"numeric_atoms","value":1012,"base":7}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":1334,"base":7},"right_expr":{"type":"numeric_atoms","value":3703,"base":7}}}}},"used_operators":["aMUSaJuDRU","TpPTUOHfaN","k1SHOSEABc","61wBmkZwlr","vXNesLlMH1","JwTKLfZU96","0ajvFaJAv0","YSKBFp38Pu"],"dependent_operators":["tmPS8pqC7x","g55IO6H4Gj","qWUSsah53b","AHs5Up7iyr","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","7j4O788W3g","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","cHh1gJQ2o6","AHs5Up7iyr","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q"],"result":"≴∭⊉6534","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6806","layer":4},{"info":"compute unary expreesion, input=6806, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=6806","layer":3},{"info":"number node, value=4603","layer":4},{"info":"number node, value=2748","layer":4},{"info":"compute binary expreesion, left_input=4603, right_input=2748, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=48636","layer":3},{"info":"compute binary expreesion, left_input=6806, right_input=48636, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"number node, value=2343","layer":4},{"info":"number node, value=1012","layer":4},{"info":"compute binary expreesion, left_input=2343, right_input=1012, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"number node, value=1334","layer":4},{"info":"number node, value=3703","layer":4},{"info":"compute binary expreesion, left_input=1334, right_input=3703, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-22337","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-22337, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = aMUSaJuDRU, unary_op_definition = 'a⨉ = { ((⫡⇟⇯148)⨸⪁(a⨪↰⇹a)) }', output=2328","layer":0}],"base":7,"result_base":7,"text":"(≋≴∭⊉25562)⨂≜(≴∭⊉16264≄⊠≴∭⊉11004)+⇶⊼≴∭⊉6555⫁≴∭⊉2644↳≱(≴∭⊉3614⇤≴∭⊉13540)⨉=≴∭⊉6534","reverse_text":"≴∭⊉6534=(≋≴∭⊉25562)⨂≜(≴∭⊉16264≄⊠≴∭⊉11004)+⇶⊼≴∭⊉6555⫁≴∭⊉2644↳≱(≴∭⊉3614⇤≴∭⊉13540)⨉","cot":[{"info":"≋≴∭⊉25562=≴∭⊉25562","layer":3},{"info":"≴∭⊉16264≄⊠≴∭⊉11004=≴∭⊉261540","layer":3},{"info":"≴∭⊉25562⨂≜≴∭⊉261540=NaN","layer":2},{"info":"≴∭⊉6555⫁≴∭⊉2644=≴∭⊉316","layer":3},{"info":"≴∭⊉3614⇤≴∭⊉13540=≴∭⊉-122060","layer":3},{"info":"≴∭⊉316↳≱≴∭⊉-122060=≴∭⊉0","layer":2},{"info":"NaN+⇶⊼≴∭⊉0=≴∭⊉0","layer":1},{"info":"≴∭⊉0⨉=≴∭⊉6534","layer":0}]}
+{"id":204,"expression_no_base_symbol":"⨂⪏⇭(((⫡⇟⇯$1262$)⇼⇔∾$1134$≠≀$1159$)⪔(⫶⊄≣(⫡⇟⇯$1124$)))","expression":"⨂⪏⇭(((⫡⇟⇯≴∭⊉3452)⇼⇔∾≴∭⊉3210≠≀≴∭⊉3244)⪔(⫶⊄≣(⫡⇟⇯≴∭⊉3164)))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":3272,"operation_count":7,"complexity_ratio":467.42857142857144,"tree":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"numeric_atoms","value":1262,"base":7}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":1134,"base":7},"right_expr":{"type":"numeric_atoms","value":1159,"base":7}}},"right_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"numeric_atoms","value":1124,"base":7}}}}},"used_operators":["AYdpE9sXAk","GjBEYRfMaF","tifHPKVTfV","qWUSsah53b","IwW236VD4Y","wxb3vTeyAj"],"dependent_operators":["eewbuw0ToL","NTOWxs364D","EBcxylXtPf","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","P8v4zCKN1o","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI"],"result":"≴∭⊉1040","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1262","layer":4},{"info":"compute unary expreesion, input=1262, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=3392","layer":3},{"info":"number node, value=1134","layer":4},{"info":"number node, value=1159","layer":4},{"info":"compute binary expreesion, left_input=1134, right_input=1159, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-1962","layer":3},{"info":"compute binary expreesion, left_input=3392, right_input=-1962, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-5354","layer":2},{"info":"number node, value=1124","layer":4},{"info":"compute unary expreesion, input=1124, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=3116","layer":3},{"info":"compute unary expreesion, input=3116, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=174822985","layer":2},{"info":"compute binary expreesion, left_input=-5354, right_input=174822985, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":1},{"info":"compute unary expreesion, input=450, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=371","layer":0}],"base":7,"result_base":7,"text":"⨂⪏⇭(((⫡⇟⇯≴∭⊉3452)⇼⇔∾≴∭⊉3210≠≀≴∭⊉3244)⪔(⫶⊄≣(⫡⇟⇯≴∭⊉3164)))=≴∭⊉1040","reverse_text":"≴∭⊉1040=⨂⪏⇭(((⫡⇟⇯≴∭⊉3452)⇼⇔∾≴∭⊉3210≠≀≴∭⊉3244)⪔(⫶⊄≣(⫡⇟⇯≴∭⊉3164)))","cot":[{"info":"⫡⇟⇯≴∭⊉3452=≴∭⊉12614","layer":3},{"info":"≴∭⊉3210≠≀≴∭⊉3244=≴∭⊉-5502","layer":3},{"info":"≴∭⊉12614⇼⇔∾≴∭⊉-5502=≴∭⊉-21416","layer":2},{"info":"⫡⇟⇯≴∭⊉3164=≴∭⊉12041","layer":3},{"info":"⫶⊄≣≴∭⊉12041=≴∭⊉4221654001","layer":2},{"info":"≴∭⊉-21416⪔≴∭⊉4221654001=≴∭⊉1212","layer":1},{"info":"⨂⪏⇭≴∭⊉1212=≴∭⊉1040","layer":0}]}
+{"id":205,"expression_no_base_symbol":"$1343$↹⊜$4654$⊉↱≁($3136$⋾⨃∁$9706$)+⪬∐($5110$↳≱$6975$⨟⋌⩍$1026$≚⊃≕$1590$)⨒(⩷⨜⫀($4308$⨑≵⋬$6851$)⫞⩸⩒(⊖∈$5432$))","expression":"≴∭⊉3626↹⊜≴∭⊉16366⊉↱≁(≴∭⊉12100⋾⨃∁≴∭⊉40204)+⪬∐(≴∭⊉20620↳≱��∭⊉26223⨟⋌⩍≴∭⊉2664≚⊃≕≴∭⊉4431)⨒(⩷⨜⫀(≴∭⊉15363⨑≵⋬≴∭⊉25655)⫞⩸⩒(⊖∈≴∭⊉21560))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":10251,"operation_count":12,"complexity_ratio":854.25,"tree":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":1343,"base":7},"right_expr":{"type":"numeric_atoms","value":4654,"base":7}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":3136,"base":7},"right_expr":{"type":"numeric_atoms","value":9706,"base":7}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":5110,"base":7},"right_expr":{"type":"numeric_atoms","value":6975,"base":7}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":1026,"base":7},"right_expr":{"type":"numeric_atoms","value":1590,"base":7}}}},"right_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":4308,"base":7},"right_expr":{"type":"numeric_atoms","value":6851,"base":7}},"right_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"numeric_atoms","value":5432,"base":7}}}}},"used_operators":["y75s1iXyHd","2GS7woTJqF","w2P8NbNXyL","9bazX3JMtO","212REbPD9h","rGHVDoGpnC","JwTKLfZU96","Bmrmz2XGnR","CDi0ktkjQ4","XGcMNugi78","XnXgA4xnOs","YFxL8Sc2Zy"],"dependent_operators":["srAu1WTS94","oacrs7FA3X","7qqUquhhSb","g55IO6H4Gj","D4vGDi5EA2","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","Tcnh7f0tEr","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","ruOEQAzv1W","nhYeJWJD5X","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1343","layer":4},{"info":"number node, value=4654","layer":4},{"info":"compute binary expreesion, left_input=1343, right_input=4654, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-16026","layer":3},{"info":"number node, value=3136","layer":4},{"info":"number node, value=9706","layer":4},{"info":"compute binary expreesion, left_input=3136, right_input=9706, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=941947794","layer":3},{"info":"compute binary expreesion, left_input=-16026, right_input=941947794, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-inf","layer":2},{"info":"number node, value=5110","layer":4},{"info":"number node, value=6975","layer":4},{"info":"compute binary expreesion, left_input=5110, right_input=6975, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"number node, value=1026","layer":4},{"info":"number node, value=1590","layer":4},{"info":"compute binary expreesion, left_input=1026, right_input=1590, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=67, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=0","layer":2},{"info":"compute binary expreesion, left_input=-inf, right_input=0, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=inf","layer":1},{"info":"number node, value=4308","layer":4},{"info":"number node, value=6851","layer":4},{"info":"compute binary expreesion, left_input=4308, right_input=6851, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-25038","layer":3},{"info":"number node, value=5432","layer":4},{"info":"compute unary expreesion, input=5432, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=103046","layer":3},{"info":"compute binary expreesion, left_input=-25038, right_input=103046, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=-25038","layer":2},{"info":"compute unary expreesion, input=-25038, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-766","layer":1},{"info":"compute binary expreesion, left_input=inf, right_input=-766, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=0","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉3626↹⊜≴∭⊉16366⊉↱≁(≴∭⊉12100⋾⨃∁≴∭⊉40204)+⪬∐(≴∭⊉20620↳≱≴∭⊉26223⨟⋌⩍≴∭⊉2664≚⊃≕≴∭⊉4431)⨒(⩷⨜⫀(≴∭⊉15363⨑≵⋬≴∭⊉25655)⫞⩸⩒(⊖∈≴∭⊉21560))=≴∭⊉0","reverse_text":"≴∭⊉0=≴∭⊉3626↹⊜≴∭⊉16366⊉↱≁(≴∭⊉12100⋾⨃∁≴∭⊉40204)+⪬∐(≴∭⊉20620↳≱≴∭⊉26223⨟⋌⩍≴∭⊉2664≚⊃≕≴∭⊉4431)⨒(⩷⨜⫀(≴∭⊉15363⨑≵⋬≴∭⊉25655)⫞⩸⩒(⊖∈≴∭⊉21560))","cot":[{"info":"≴∭⊉3626↹⊜≴∭⊉16366=≴∭⊉-64503","layer":3},{"info":"≴∭⊉12100⋾⨃∁≴∭⊉40204=≴∭⊉32225265324","layer":3},{"info":"≴∭⊉-64503⊉↱≁≴∭⊉32225265324=-Inf","layer":2},{"info":"≴∭⊉20620↳≱≴∭⊉26223=≴∭⊉0","layer":3},{"info":"≴∭⊉2664≚⊃≕≴∭⊉4431=≴∭⊉124","layer":3},{"info":"≴∭⊉0⨟⋌⩍≴∭⊉124=≴∭⊉0","layer":2},{"info":"-Inf+⪬∐≴∭⊉0=Inf","layer":1},{"info":"≴∭⊉15363⨑≵⋬≴∭⊉25655=≴∭⊉-132666","layer":3},{"info":"⊖∈≴∭⊉21560=≴∭⊉606266","layer":3},{"info":"≴∭⊉-132666⫞⩸⩒≴∭⊉606266=≴∭⊉-132666","layer":2},{"info":"⩷⨜⫀≴∭⊉-132666=≴∭⊉-2143","layer":1},{"info":"Inf⨒≴∭⊉-2143=≴∭⊉0","layer":0}]}
+{"id":206,"expression_no_base_symbol":"($1885$⪕$1900$⋷$1331$∑⇟⊟$1719$∪⫐(⇘$3796$)≒∊(↥≼⋛$3081$))⇄(($6425$⪎↠$1314$)⩣⫁∢($1376$⪄$1588$))⇻⋧≁(⪛⨧($2101$≣⋋))","expression":"(≴∭⊉5332⪕≴∭⊉5353⋷≴∭⊉3611∑⇟⊟≴∭⊉5004∪⫐(⇘≴∭⊉14032)≒∊(↥≼⋛≴∭⊉11661))⇄((≴∭⊉24506⪎↠≴∭⊉3555)⩣⫁∢(≴∭⊉4004⪄≴∭⊉4426))⇻⋧≁(⪛⨧(≴∭⊉6061≣⋋))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":8524,"operation_count":14,"complexity_ratio":608.8571428571429,"tree":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":1885,"base":7},"right_expr":{"type":"numeric_atoms","value":1900,"base":7}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1331,"base":7},"right_expr":{"type":"numeric_atoms","value":1719,"base":7}}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"numeric_atoms","value":3796,"base":7}},"right_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"numeric_atoms","value":3081,"base":7}}}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":6425,"base":7},"right_expr":{"type":"numeric_atoms","value":1314,"base":7}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1376,"base":7},"right_expr":{"type":"numeric_atoms","value":1588,"base":7}}},"right_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":2101,"base":7}}}}},"used_operators":["3EYGwJThht","7YooWSwCyH","23Mk6UjR3U","umQnsF7QlU","U7g4x0WXJJ","5KTvxBwnZo","MGuIdZPyUC","x5lMkHmzsq","jCPkEVoL5K","JDUIKTTSIa","3tVxb0NHM4","SUmda5xLS4","6NJAcO2OWT","Tcnh7f0tEr"],"dependent_operators":["eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","rJVOvQCfKK","2DDjHMKMc0","W4YGzv6Whe","t8gj7n24qd","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1885","layer":4},{"info":"number node, value=1900","layer":4},{"info":"compute binary expreesion, left_input=1885, right_input=1900, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=2771","layer":3},{"info":"number node, value=1331","layer":4},{"info":"number node, value=1719","layer":4},{"info":"compute binary expreesion, left_input=1331, right_input=1719, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2771, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":2},{"info":"number node, value=3796","layer":4},{"info":"compute unary expreesion, input=3796, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=222142","layer":3},{"info":"number node, value=3081","layer":4},{"info":"compute unary expreesion, input=3081, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-113","layer":3},{"info":"compute binary expreesion, left_input=222142, right_input=-113, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-221658","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-221658, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=nan","layer":1},{"info":"number node, value=6425","layer":4},{"info":"number node, value=1314","layer":4},{"info":"compute binary expreesion, left_input=6425, right_input=1314, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"number node, value=1376","layer":4},{"info":"number node, value=1588","layer":4},{"info":"compute binary expreesion, left_input=1376, right_input=1588, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-206089","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-206089, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-159","layer":2},{"info":"number node, value=2101","layer":4},{"info":"compute unary expreesion, input=2101, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=1401","layer":2},{"info":"compute binary expreesion, left_input=-159, right_input=1401, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-447, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉5332⪕≴∭⊉5353⋷≴∭⊉3611∑⇟⊟≴∭⊉5004∪⫐(⇘≴∭⊉14032)≒∊(↥≼⋛≴∭⊉11661))⇄((≴∭⊉24506⪎↠≴∭⊉3555)⩣⫁∢(≴∭⊉4004⪄≴∭⊉4426))⇻⋧≁(⪛⨧(≴∭⊉6061≣⋋))=NaN","reverse_text":"NaN=(≴∭⊉5332⪕≴∭⊉5353⋷≴∭⊉3611∑⇟⊟≴∭⊉5004∪⫐(⇘≴∭⊉14032)≒∊(↥≼⋛≴∭⊉11661))⇄((≴∭⊉24506⪎↠≴∭⊉3555)⩣⫁∢(≴∭⊉4004⪄≴∭⊉4426))⇻⋧≁(⪛⨧(≴∭⊉6061≣⋋))","cot":[{"info":"≴∭⊉5332⪕≴∭⊉5353=≴∭⊉11036","layer":3},{"info":"≴∭⊉3611∑⇟⊟≴∭⊉5004=NaN","layer":3},{"info":"≴∭⊉11036⋷NaN=NaN","layer":2},{"info":"⇘≴∭⊉14032=≴∭⊉1613434","layer":3},{"info":"↥≼⋛≴∭⊉11661=≴∭⊉-221","layer":3},{"info":"≴∭⊉1613434≒∊≴∭⊉-221=≴∭⊉-1612143","layer":2},{"info":"NaN∪⫐≴∭⊉-1612143=NaN","layer":1},{"info":"≴∭⊉24506⪎↠≴∭⊉3555=≴∭⊉316","layer":3},{"info":"≴∭⊉4004⪄≴∭⊉4426=≴∭⊉-1515562","layer":3},{"info":"≴∭⊉316⩣⫁∢≴∭⊉-1515562=≴∭⊉-315","layer":2},{"info":"≴∭⊉6061≣⋋=≴∭⊉0","layer":3},{"info":"⪛⨧≴∭⊉0=≴∭⊉4041","layer":2},{"info":"≴∭⊉-315⇻⋧≁≴∭⊉4041=≴∭⊉-1206","layer":1},{"info":"NaN⇄≴∭⊉-1206=NaN","layer":0}]}
+{"id":207,"expression_no_base_symbol":"∐⩳⋚(((⇖$3237$)⩅⪻⪻)∽$7892$+⇶⊼$2543$⫳≱↱$1065$⨽$1271$)","expression":"∐⩳⋚(((⇖≴∭⊉12303)⩅⪻⪻)∽≴∭⊉32003+⇶⊼≴∭⊉10262⫳≱↱≴∭⊉3051⨽≴∭⊉3464)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1767,"operation_count":7,"complexity_ratio":252.42857142857142,"tree":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"binary","operator":"∽","left_expr":{"type":"unary","operator":"⩅⪻⪻","unary_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"numeric_atoms","value":3237,"base":7}}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":7892,"base":7},"right_expr":{"type":"numeric_atoms","value":2543,"base":7}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1065,"base":7},"right_expr":{"type":"numeric_atoms","value":1271,"base":7}}}}},"used_operators":["SL6IHkK8vl","y4ImoPnbV5","kHoXpA7yos","tfWHHpNKUN","ZvLB05nZmT","TpPTUOHfaN","8HhzD0ZcuI"],"dependent_operators":["s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","NTOWxs364D","QMFrweE19q","SUmda5xLS4","KPf6cnQVty","8HhzD0ZcuI","9Isq31Ruls","2DQ55sFlQl","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","AHs5Up7iyr","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3237","layer":4},{"info":"compute unary expreesion, input=3237, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = kHoXpA7yos, unary_op_definition = 'a⩅⪻⪻ = { (a⪄((a∌↝a)⨽(a∺≝⩲a))) }', output=2741695","layer":2},{"info":"number node, value=7892","layer":4},{"info":"number node, value=2543","layer":4},{"info":"compute binary expreesion, left_input=7892, right_input=2543, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=1065","layer":4},{"info":"number node, value=1271","layer":4},{"info":"compute binary expreesion, left_input=1065, right_input=1271, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-3405174","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3405174, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=2741695, right_input=nan, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"∐⩳⋚(((⇖≴∭⊉12303)⩅⪻⪻)∽≴∭⊉32003+⇶⊼≴∭⊉10262⫳≱↱≴∭⊉3051⨽≴∭⊉3464)=NaN","reverse_text":"NaN=∐⩳⋚(((⇖≴∭⊉12303)⩅⪻⪻)∽≴∭⊉32003+⇶⊼≴∭⊉10262⫳≱↱≴∭⊉3051⨽≴∭⊉3464)","cot":[{"info":"⇖≴∭⊉12303=≴∭⊉316","layer":3},{"info":"≴∭⊉316⩅⪻⪻=≴∭⊉32206165","layer":2},{"info":"≴∭⊉32003+⇶⊼≴∭⊉10262=NaN","layer":3},{"info":"≴∭⊉3051⨽≴∭⊉3464=≴∭⊉-40641423","layer":3},{"info":"NaN⫳≱↱≴∭⊉-40641423=NaN","layer":2},{"info":"≴∭⊉32206165∽NaN=NaN","layer":1},{"info":"∐⩳⋚NaN=NaN","layer":0}]}
+{"id":208,"expression_no_base_symbol":"(⨝⨆$5485$⨑⩅≇$3295$⨽$2043$∑⇟⊟$6577$)⨎(($3976$⪛⫼$5733$)⪚($1447$⩚⊴⇥$4020$)∷(⪭⩑⪱($2696$≚⋢)))","expression":"(⨝⨆≴∭⊉21664⨑⩅≇≴∭⊉12415⨽≴∭⊉5646∑⇟⊟≴∭⊉25114)⨎((≴∭⊉14410⪛⫼≴∭⊉22500)⪚(≴∭⊉4135⩚⊴⇥≴∭⊉14502)∷(⪭⩑⪱(≴∭⊉10601≚⋢)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":22713,"operation_count":11,"complexity_ratio":2064.818181818182,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":5485,"base":7},"right_expr":{"type":"numeric_atoms","value":3295,"base":7}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2043,"base":7},"right_expr":{"type":"numeric_atoms","value":6577,"base":7}}}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":3976,"base":7},"right_expr":{"type":"numeric_atoms","value":5733,"base":7}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1447,"base":7},"right_expr":{"type":"numeric_atoms","value":4020,"base":7}}},"right_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"unary","operator":"≚⋢","unary_expr":{"type":"numeric_atoms","value":2696,"base":7}}}}},"used_operators":["rJVOvQCfKK","bQ67fsrMVf","8HhzD0ZcuI","h92wMvzauj","U7g4x0WXJJ","D3AQDKkPcf","HrjLwUk87U","hyuBjUqXlG","NTOWxs364D","SIgE0bArFf","MahUMFw56D"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","tifHPKVTfV","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","9FxExcQeMw","NTOWxs364D","7j4O788W3g","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","3ViojmjbAp"],"result":"≴∭⊉130503516","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5485","layer":4},{"info":"number node, value=3295","layer":4},{"info":"compute binary expreesion, left_input=5485, right_input=3295, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-16455","layer":3},{"info":"number node, value=2043","layer":4},{"info":"number node, value=6577","layer":4},{"info":"compute binary expreesion, left_input=2043, right_input=6577, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-16455, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=nan","layer":1},{"info":"number node, value=3976","layer":4},{"info":"number node, value=5733","layer":4},{"info":"compute binary expreesion, left_input=3976, right_input=5733, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":3},{"info":"number node, value=1447","layer":4},{"info":"number node, value=4020","layer":4},{"info":"compute binary expreesion, left_input=1447, right_input=4020, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5588","layer":3},{"info":"compute binary expreesion, left_input=968, right_input=-5588, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=12756","layer":2},{"info":"number node, value=2696","layer":4},{"info":"compute unary expreesion, input=2696, op_id = MahUMFw56D, unary_op_definition = 'a≚⋢ = { (a⨓86) }', output=-89","layer":3},{"info":"compute unary expreesion, input=-89, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":2},{"info":"compute binary expreesion, left_input=12756, right_input=8320752, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=8320752","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=8320752, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=8320752","layer":0}],"base":7,"result_base":7,"text":"(⨝⨆≴∭⊉21664⨑⩅≇≴∭⊉12415⨽≴∭⊉5646∑⇟⊟≴∭⊉25114)⨎((≴∭⊉14410⪛⫼≴∭⊉22500)⪚(≴∭⊉4135⩚⊴⇥≴∭⊉14502)∷(⪭⩑⪱(≴∭⊉10601≚⋢)))=≴∭⊉130503516","reverse_text":"≴∭⊉130503516=(⨝⨆≴∭⊉21664⨑⩅≇≴∭⊉12415⨽≴∭⊉5646∑⇟⊟≴∭⊉25114)⨎((≴∭⊉14410⪛⫼≴∭⊉22500)⪚(≴∭⊉4135⩚⊴⇥≴∭⊉14502)∷(⪭⩑⪱(≴∭⊉10601≚⋢)))","cot":[{"info":"≴∭⊉21664⨑⩅≇≴∭⊉12415=≴∭⊉-65655","layer":3},{"info":"≴∭⊉5646∑⇟⊟≴∭⊉25114=NaN","layer":3},{"info":"≴∭⊉-65655⨽NaN=NaN","layer":2},{"info":"⨝⨆NaN=NaN","layer":1},{"info":"≴∭⊉14410⪛⫼≴∭⊉22500=≴∭⊉2552","layer":3},{"info":"≴∭⊉4135⩚⊴⇥≴∭⊉14502=≴∭⊉-22202","layer":3},{"info":"≴∭⊉2552⪚≴∭⊉-22202=≴∭⊉52122","layer":2},{"info":"≴∭⊉10601≚⋢=≴∭⊉-155","layer":3},{"info":"⪭⩑⪱≴∭⊉-155=≴∭⊉130503516","layer":2},{"info":"≴∭⊉52122∷≴∭⊉130503516=≴∭⊉130503516","layer":1},{"info":"NaN⨎≴∭⊉130503516=≴∭⊉130503516","layer":0}]}
+{"id":209,"expression_no_base_symbol":"(($6601$⪛⫼$3598$⪒(⩦⊞$1038$))∙∹∝($2201$⊢)⪬($1315$⨭⪣$2614$))⨲∙","expression":"((≴∭⊉25150⪛⫼≴∭⊉13330⪒(⩦⊞≴∭⊉3012))∙∹∝(≴∭⊉6263⊢)⪬(≴∭⊉3556⨭⪣≴∭⊉10423))⨲∙","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1281,"operation_count":8,"complexity_ratio":160.125,"tree":{"type":"unary","operator":"⨲∙","unary_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":6601,"base":7},"right_expr":{"type":"numeric_atoms","value":3598,"base":7}},"right_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"numeric_atoms","value":1038,"base":7}}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"unary","operator":"⊢","unary_expr":{"type":"numeric_atoms","value":2201,"base":7}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":1315,"base":7},"right_expr":{"type":"numeric_atoms","value":2614,"base":7}}}}},"used_operators":["cRahaglYVE","HmxsFra2vL","f6k1SAg4EE","hyuBjUqXlG","u7fv1HBiaC","Ez1Nq5fNfI","40aOVDgCDB","kn8WO9XteQ"],"dependent_operators":["XGcMNugi78","zR4jO40bMj","mp7IySMOzn","bJkvcejdHO","grXIztHqDa","dWAJyo7jo9","DmTXOeWf9t","g55IO6H4Gj","D4vGDi5EA2","A8NUZmVepG","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","NTOWxs364D","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF"],"result":"≴∭⊉52356663","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6601","layer":4},{"info":"number node, value=3598","layer":4},{"info":"compute binary expreesion, left_input=6601, right_input=3598, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":3},{"info":"number node, value=1038","layer":4},{"info":"compute unary expreesion, input=1038, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-765","layer":3},{"info":"compute binary expreesion, left_input=968, right_input=-765, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-203","layer":2},{"info":"number node, value=2201","layer":4},{"info":"compute unary expreesion, input=2201, op_id = 40aOVDgCDB, unary_op_definition = 'a⊢ = { a , if a<=675 ; (a⩚⊴⇥126) , else }', output=-2448","layer":3},{"info":"number node, value=1315","layer":4},{"info":"number node, value=2614","layer":4},{"info":"compute binary expreesion, left_input=1315, right_input=2614, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=36","layer":3},{"info":"compute binary expreesion, left_input=-2448, right_input=36, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=-203, right_input=1234, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = cRahaglYVE, unary_op_definition = 'a⨲∙ = { ((a⪢(a⇷a))⪶≀⋏(↥(30⫞⩸⩒376))) , if (a≦≮≮)>473 ; (121⨸⪁((a⊲⩕⊾a)≎⊠⪸(28⪃↞⩐))) , else }', output=4417836","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉25150⪛⫼≴∭⊉13330⪒(⩦⊞≴∭⊉3012))∙∹∝(≴∭⊉6263⊢)⪬(≴∭⊉3556⨭⪣≴∭⊉10423))⨲∙=≴∭⊉52356663","reverse_text":"≴∭⊉52356663=((≴∭⊉25150⪛⫼≴∭⊉13330⪒(⩦⊞≴∭⊉3012))∙∹∝(≴∭⊉6263⊢)⪬(≴∭⊉3556⨭⪣≴∭⊉10423))⨲∙","cot":[{"info":"≴∭⊉25150⪛⫼≴∭⊉13330=≴∭⊉2552","layer":3},{"info":"⩦⊞≴∭⊉3012=≴∭⊉-2142","layer":3},{"info":"≴∭⊉2552⪒≴∭⊉-2142=≴∭⊉-410","layer":2},{"info":"≴∭⊉6263⊢=≴∭⊉-10065","layer":3},{"info":"≴∭⊉3556⨭⪣≴∭⊉10423=≴∭⊉51","layer":3},{"info":"≴∭⊉-10065⪬≴∭⊉51=≴∭⊉3412","layer":2},{"info":"≴∭⊉-410∙∹∝≴∭⊉3412=≴∭⊉0","layer":1},{"info":"≴∭⊉0⨲∙=≴∭⊉52356663","layer":0}]}
+{"id":210,"expression_no_base_symbol":"((↔($1347$∼$1114$))⨑≵⋬($2511$⇂≾⫗$7002$∧))≬⇓((($4905$∼$3292$)∳⫺($4676$⇤$4461$))⨌↪)","expression":"((↔(≴∭⊉3633∼≴∭⊉3151))⨑≵⋬(≴∭⊉10215⇂≾⫗≴∭⊉26262∧))≬⇓(((≴∭⊉20205∼≴∭⊉12412)∳⫺(≴∭⊉16430⇤≴∭⊉16002))⨌↪)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":325,"operation_count":10,"complexity_ratio":32.5,"tree":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1347,"base":7},"right_expr":{"type":"numeric_atoms","value":1114,"base":7}}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":2511,"base":7},"right_expr":{"type":"numeric_atoms","value":7002,"base":7}}}},"right_expr":{"type":"unary","operator":"⨌↪","unary_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":4905,"base":7},"right_expr":{"type":"numeric_atoms","value":3292,"base":7}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":4676,"base":7},"right_expr":{"type":"numeric_atoms","value":4461,"base":7}}}}},"used_operators":["jWTQ2TZYIH","XnXgA4xnOs","ruOEQAzv1W","DyGG3AbaNP","z63VuFQld9","aBQ6xLxuTc","cWQsF5MvuD","AzXXKTstlj","YSKBFp38Pu"],"dependent_operators":["AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","8w2t5hMYqp","2DQ55sFlQl","i8ToyICDmI","QMFrweE19q","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q"],"result":"≴∭⊉-31","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1347","layer":4},{"info":"number node, value=1114","layer":4},{"info":"compute binary expreesion, left_input=1347, right_input=1114, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":2},{"info":"number node, value=2511","layer":4},{"info":"number node, value=7002","layer":4},{"info":"compute binary expreesion, left_input=2511, right_input=7002, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"compute unary expreesion, input=-676, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-134, right_input=0, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=1741","layer":1},{"info":"number node, value=4905","layer":4},{"info":"number node, value=3292","layer":4},{"info":"compute binary expreesion, left_input=4905, right_input=3292, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"number node, value=4676","layer":4},{"info":"number node, value=4461","layer":4},{"info":"compute binary expreesion, left_input=4676, right_input=4461, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-42837","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-42837, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":2},{"info":"compute unary expreesion, input=-260, op_id = cWQsF5MvuD, unary_op_definition = 'a⨌↪ = { (⊄⩳↩((a∲⫓a)⨵⪆(a⫡⨏a))) }', output=-480","layer":1},{"info":"compute binary expreesion, left_input=1741, right_input=-480, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":0}],"base":7,"result_base":7,"text":"((↔(≴∭⊉3633∼≴∭⊉3151))⨑≵⋬(≴∭⊉10215⇂≾⫗≴∭⊉26262∧))≬⇓(((≴∭⊉20205∼≴∭⊉12412)∳⫺(≴∭⊉16430⇤≴∭⊉16002))⨌↪)=≴∭⊉-31","reverse_text":"≴∭⊉-31=((↔(≴∭⊉3633∼≴∭⊉3151))⨑≵⋬(≴∭⊉10215⇂≾⫗≴∭⊉26262∧))≬⇓(((≴∭⊉20205∼≴∭⊉12412)∳⫺(≴∭⊉16430⇤≴∭⊉16002))⨌↪)","cot":[{"info":"≴∭⊉3633∼≴∭⊉3151=NaN","layer":3},{"info":"↔NaN=≴∭⊉-251","layer":2},{"info":"≴∭⊉10215⇂≾⫗≴∭⊉26262=≴∭⊉-1654","layer":3},{"info":"≴∭⊉-1654∧=≴∭⊉0","layer":2},{"info":"≴∭⊉-251⨑≵⋬≴∭⊉0=≴∭⊉5035","layer":1},{"info":"≴∭⊉20205∼≴∭⊉12412=NaN","layer":3},{"info":"≴∭⊉16430⇤≴∭⊉16002=≴∭⊉-235614","layer":3},{"info":"NaN∳⫺≴∭⊉-235614=≴∭⊉-521","layer":2},{"info":"≴∭⊉-521⨌↪=≴∭⊉-1254","layer":1},{"info":"≴∭⊉5035≬⇓≴∭⊉-1254=≴∭⊉-31","layer":0}]}
+{"id":211,"expression_no_base_symbol":"(⊖∈$3020$⇌⫙⪟$4625$≒∊($2266$*$7445$))⫃⨇(⪓⩚($4374$⫩))⨚⇆$1817$⪚$5979$≨$2278$∳⫺$1642$","expression":"(⊖∈≴∭⊉11543⇌⫙⪟≴∭⊉16325≒∊(≴∭⊉6415*≴∭⊉30464))⫃⨇(⪓⩚(≴∭⊉15516⫩))⨚⇆≴∭⊉5204⪚≴∭⊉23301≨≴∭⊉6433∳⫺≴∭⊉4534","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":65984,"operation_count":11,"complexity_ratio":5998.545454545455,"tree":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":3020,"base":7},"right_expr":{"type":"numeric_atoms","value":4625,"base":7}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2266,"base":7},"right_expr":{"type":"numeric_atoms","value":7445,"base":7}}}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"unary","operator":"⫩","unary_expr":{"type":"numeric_atoms","value":4374,"base":7}}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":1817,"base":7},"right_expr":{"type":"numeric_atoms","value":5979,"base":7}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":2278,"base":7},"right_expr":{"type":"numeric_atoms","value":1642,"base":7}}}}},"used_operators":["09Ly4LVMIf","YFxL8Sc2Zy","5KTvxBwnZo","AFVx7xoS7T","9HNa5Wba9A","lwHaAYXP2r","u0R0Locfp2","6aG7x05OhS","0KMCeP1Jsh","HrjLwUk87U","AzXXKTstlj"],"dependent_operators":["9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","W4YGzv6Whe","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","dWAJyo7jo9","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3020","layer":4},{"info":"number node, value=4625","layer":4},{"info":"compute binary expreesion, left_input=3020, right_input=4625, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"number node, value=2266","layer":4},{"info":"number node, value=7445","layer":4},{"info":"compute binary expreesion, left_input=2266, right_input=7445, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=16870370","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=16870370, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=371","layer":2},{"info":"compute unary expreesion, input=371, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=1826","layer":1},{"info":"number node, value=4374","layer":4},{"info":"compute unary expreesion, input=4374, op_id = 6aG7x05OhS, unary_op_definition = 'a⫩ = { (a⪢a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":2},{"info":"number node, value=1817","layer":4},{"info":"number node, value=5979","layer":4},{"info":"compute binary expreesion, left_input=1817, right_input=5979, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-8680","layer":3},{"info":"number node, value=2278","layer":4},{"info":"number node, value=1642","layer":4},{"info":"compute binary expreesion, left_input=2278, right_input=1642, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":3},{"info":"compute binary expreesion, left_input=-8680, right_input=-260, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=18016","layer":2},{"info":"compute binary expreesion, left_input=426, right_input=18016, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1826, right_input=nan, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(⊖∈≴∭⊉11543⇌⫙⪟≴∭⊉16325≒∊(≴∭⊉6415*≴∭⊉30464))⫃⨇(⪓⩚(≴∭⊉15516⫩))⨚⇆≴∭⊉5204⪚≴∭⊉23301≨≴∭⊉6433∳⫺≴∭⊉4534=NaN","reverse_text":"NaN=(⊖∈≴∭⊉11543⇌⫙⪟≴∭⊉16325≒∊(≴∭⊉6415*≴∭⊉30464))⫃⨇(⪓⩚(≴∭⊉15516⫩))⨚⇆≴∭⊉5204⪚≴∭⊉23301≨≴∭⊉6433∳⫺≴∭⊉4534","cot":[{"info":"≴∭⊉11543⇌⫙⪟≴∭⊉16325=≴∭⊉221","layer":3},{"info":"≴∭⊉6415*≴∭⊉30464=≴∭⊉263252516","layer":3},{"info":"≴∭⊉221≒∊≴∭⊉263252516=≴∭⊉1040","layer":2},{"info":"⊖∈≴∭⊉1040=≴∭⊉5216","layer":1},{"info":"≴∭⊉15516⫩=NaN","layer":3},{"info":"⪓⩚NaN=≴∭⊉1146","layer":2},{"info":"≴∭⊉5204⪚≴∭⊉23301=≴∭⊉-34210","layer":3},{"info":"≴∭⊉6433∳⫺≴∭⊉4534=≴∭⊉-521","layer":3},{"info":"≴∭⊉-34210≨≴∭⊉-521=≴∭⊉103345","layer":2},{"info":"≴∭⊉1146⨚⇆≴∭⊉103345=NaN","layer":1},{"info":"≴∭⊉5216⫃⨇NaN=NaN","layer":0}]}
+{"id":212,"expression_no_base_symbol":"((≇⪴$1073$)⩷∴$1713$⨔⇊$1759$)⨑⩅≇(($1183$≥⨤⩑$1048$)⨼⩣(⨮↦↱$1592$))↬(($3088$⩦$1019$∑⇟⊟($4363$⨸⪁$1005$))⩘⨬⇊)","expression":"((≇⪴≴∭⊉3062)⩷∴≴∭⊉4665⨔⇊≴∭⊉5062)⨑⩅≇((≴∭⊉3310≥⨤⩑≴∭⊉3025)⨼⩣(⨮↦↱≴∭⊉4433))↬((≴∭⊉12001⩦≴∭⊉2654∑⇟⊟(≴∭⊉15502⨸⪁≴∭⊉2634))⩘⨬⇊)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":10851992,"operation_count":12,"complexity_ratio":904332.6666666666,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"numeric_atoms","value":1073,"base":7}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":1713,"base":7},"right_expr":{"type":"numeric_atoms","value":1759,"base":7}}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":1183,"base":7},"right_expr":{"type":"numeric_atoms","value":1048,"base":7}},"right_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"numeric_atoms","value":1592,"base":7}}}},"right_expr":{"type":"unary","operator":"⩘⨬⇊","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":3088,"base":7},"right_expr":{"type":"numeric_atoms","value":1019,"base":7}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":4363,"base":7},"right_expr":{"type":"numeric_atoms","value":1005,"base":7}}}}},"used_operators":["B5M0gjZbta","h92wMvzauj","9FxExcQeMw","zoVPnxeHJ3","JclMnS0uGI","JxwMv5le6e","gJLn6v0xnP","sYcpBQ0cFf","XXmTpEpWTW","U7g4x0WXJJ","0kmYd0q39Y","g55IO6H4Gj"],"dependent_operators":["rGHVDoGpnC","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","rysDP5nf3Z","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","rxpJgHHUmx","HnzytWxmAO","8cLx32lpNA","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1073","layer":4},{"info":"compute unary expreesion, input=1073, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-1879","layer":3},{"info":"number node, value=1713","layer":4},{"info":"number node, value=1759","layer":4},{"info":"compute binary expreesion, left_input=1713, right_input=1759, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=1759","layer":3},{"info":"compute binary expreesion, left_input=-1879, right_input=1759, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-7308","layer":2},{"info":"number node, value=1183","layer":4},{"info":"number node, value=1048","layer":4},{"info":"compute binary expreesion, left_input=1183, right_input=1048, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"number node, value=1592","layer":4},{"info":"compute unary expreesion, input=1592, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-3616602","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=-3616602, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-7308, right_input=nan, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=935","layer":1},{"info":"number node, value=3088","layer":4},{"info":"number node, value=1019","layer":4},{"info":"compute binary expreesion, left_input=3088, right_input=1019, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=6176","layer":3},{"info":"number node, value=4363","layer":4},{"info":"number node, value=1005","layer":4},{"info":"compute binary expreesion, left_input=4363, right_input=1005, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=10736","layer":3},{"info":"compute binary expreesion, left_input=6176, right_input=10736, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = XXmTpEpWTW, unary_op_definition = 'a⩘⨬⇊ = { ((a⇴∐a)∌(a≭31)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=935, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":0}],"base":7,"result_base":7,"text":"((≇⪴≴∭⊉3062)⩷∴≴∭⊉4665⨔⇊≴∭⊉5062)⨑⩅≇((≴∭⊉3310≥⨤⩑≴∭⊉3025)⨼⩣(⨮↦↱≴∭⊉4433))↬((≴∭⊉12001⩦≴∭⊉2654∑⇟⊟(≴∭⊉15502⨸⪁≴∭⊉2634))⩘⨬⇊)=NaN","reverse_text":"NaN=((≇⪴≴∭⊉3062)⩷∴≴∭⊉4665⨔⇊≴∭⊉5062)⨑⩅≇((≴∭⊉3310≥⨤⩑≴∭⊉3025)⨼⩣(⨮↦↱≴∭⊉4433))↬((≴∭⊉12001⩦≴∭⊉2654∑⇟⊟(≴∭⊉15502⨸⪁≴∭⊉2634))⩘⨬⇊)","cot":[{"info":"≇⪴≴∭⊉3062=≴∭⊉-5323","layer":3},{"info":"≴∭⊉4665⨔⇊≴∭⊉5062=≴∭⊉5062","layer":3},{"info":"≴∭⊉-5323⩷∴≴∭⊉5062=≴∭⊉-30210","layer":2},{"info":"≴∭⊉3310≥⨤⩑≴∭⊉3025=≴∭⊉3412","layer":3},{"info":"⨮↦↱≴∭⊉4433=≴∭⊉-42512013","layer":3},{"info":"≴∭⊉3412⨼⩣≴∭⊉-42512013=NaN","layer":2},{"info":"≴∭⊉-30210⨑⩅≇NaN=≴∭⊉2504","layer":1},{"info":"≴∭⊉12001⩦≴∭⊉2654=≴∭⊉24002","layer":3},{"info":"≴∭⊉15502⨸⪁≴∭⊉2634=≴∭⊉43205","layer":3},{"info":"≴∭⊉24002∑⇟⊟≴∭⊉43205=NaN","layer":2},{"info":"NaN⩘⨬⇊=NaN","layer":1},{"info":"≴∭⊉2504↬NaN=NaN","layer":0}]}
+{"id":213,"expression_no_base_symbol":"((⫟$1913$)⊴($9600$≧⫂∧$2057$))∊∟⩊(⫓⪴$3826$⪬$1269$)≑≱⪘","expression":"((⫟≴∭⊉5402)⊴(≴∭⊉36663≧⫂∧≴∭⊉5666))∊∟⩊(⫓⪴≴∭⊉14104⪬≴∭⊉3462)≑≱⪘","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3704,"operation_count":7,"complexity_ratio":529.1428571428571,"tree":{"type":"unary","operator":"≑≱⪘","unary_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"numeric_atoms","value":1913,"base":7}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":9600,"base":7},"right_expr":{"type":"numeric_atoms","value":2057,"base":7}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":3826,"base":7},"right_expr":{"type":"numeric_atoms","value":1269,"base":7}}}}},"used_operators":["tGSeddj7UK","ddLRYrp01A","Nsiff2A1zJ","z4E1FaHLuy","Ph9nP6C5qx","eLxqMNBOBk","Ez1Nq5fNfI"],"dependent_operators":["9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","dWAJyo7jo9","14qkJME0vr","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y"],"result":"≴∭⊉660330654","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1913","layer":4},{"info":"compute unary expreesion, input=1913, op_id = z4E1FaHLuy, unary_op_definition = '⫟a = { (((-a)⪨≂(a⨸⪁a))≧⫂∧((a⩷∴a)⨰(a⫡⨏a))) , if (a⫌⩹⨱)>=11 ; (((a+263)⋝⋈⪟(a⨳⩥⨓a))⪒((a⋥≓≎a)⫩⊇)) , else }', output=-4832","layer":3},{"info":"number node, value=9600","layer":4},{"info":"number node, value=2057","layer":4},{"info":"compute binary expreesion, left_input=9600, right_input=2057, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1584","layer":3},{"info":"compute binary expreesion, left_input=-4832, right_input=1584, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=3826","layer":4},{"info":"number node, value=1269","layer":4},{"info":"compute binary expreesion, left_input=3826, right_input=1269, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1522756","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1522756, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=1522756","layer":1},{"info":"compute unary expreesion, input=1522756, op_id = tGSeddj7UK, unary_op_definition = 'a≑≱⪘ = { ((⊄⩳↩(6≧⫂∧a))⩍⋽⫝̸((a⊲⩕⊾a)≦↸(a⋆⋳))) , if (a↹⊜255)>=30 or (a↯⫤)>122 ; ((a⩷∴(a⪒⊣⊆a))⨽(a⊬⫿⊭)) , else }', output=39588021","layer":0}],"base":7,"result_base":7,"text":"((⫟≴∭⊉5402)⊴(≴∭⊉36663≧⫂∧≴∭⊉5666))∊∟⩊(⫓⪴≴∭⊉14104⪬≴∭⊉3462)≑≱⪘=≴∭⊉660330654","reverse_text":"≴∭⊉660330654=((⫟≴∭⊉5402)⊴(≴∭⊉36663≧⫂∧≴∭⊉5666))∊∟⩊(⫓⪴≴∭⊉14104⪬≴∭⊉3462)≑≱⪘","cot":[{"info":"⫟≴∭⊉5402=≴∭⊉-20042","layer":3},{"info":"≴∭⊉36663≧⫂∧≴∭⊉5666=≴∭⊉4422","layer":3},{"info":"≴∭⊉-20042⊴≴∭⊉4422=NaN","layer":2},{"info":"≴∭⊉14104⪬≴∭⊉3462=≴∭⊉3412","layer":3},{"info":"⫓⪴≴∭⊉3412=≴∭⊉15641344","layer":2},{"info":"NaN∊∟⩊≴∭⊉15641344=≴∭⊉15641344","layer":1},{"info":"≴∭⊉15641344≑≱⪘=≴∭⊉660330654","layer":0}]}
+{"id":214,"expression_no_base_symbol":"(⋃(≸≮($1186$⨫⇇↔$1156$)))⋭≵((($4144$⇡)≋⫹)≫≃)","expression":"(⋃(≸≮(≴∭⊉3313⨫⇇↔≴∭⊉3241)))⋭≵(((≴∭⊉15040⇡)≋⫹)≫≃)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":178,"operation_count":7,"complexity_ratio":25.428571428571427,"tree":{"type":"binary","operator":"⋭≵","left_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":1186,"base":7},"right_expr":{"type":"numeric_atoms","value":1156,"base":7}}}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"unary","operator":"⇡","unary_expr":{"type":"numeric_atoms","value":4144,"base":7}}}}},"used_operators":["jBncVCNhdl","3mBM5G4a3l","AljMvE3RRm","LXhwmt4mBO","X99M06cbEe","N41Kp7NANJ","UqFzSgLMvQ"],"dependent_operators":["RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","g55IO6H4Gj","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","3sJ7IOPOlU","sJAwomhLZr","4JB6nKBMSY","k2HlF1dBQh","BiWNJpBvwn","YSKBFp38Pu"],"result":"≴∭⊉124","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1186","layer":4},{"info":"number node, value=1156","layer":4},{"info":"compute binary expreesion, left_input=1186, right_input=1156, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"compute unary expreesion, input=-527, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=8688","layer":2},{"info":"compute unary expreesion, input=8688, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=17478","layer":1},{"info":"number node, value=4144","layer":4},{"info":"compute unary expreesion, input=4144, op_id = UqFzSgLMvQ, unary_op_definition = 'a⇡ = { (((a⇴a)⪇≇⋚(∤27))⇤((a⩍⋽⫝̸27)⩠)) }', output=-2917","layer":3},{"info":"compute unary expreesion, input=-2917, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=5834","layer":2},{"info":"compute unary expreesion, input=5834, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=13069","layer":1},{"info":"compute binary expreesion, left_input=17478, right_input=13069, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":0}],"base":7,"result_base":7,"text":"(⋃(≸≮(≴∭⊉3313⨫⇇↔≴∭⊉3241)))⋭≵(((≴∭⊉15040⇡)≋⫹)≫≃)=≴∭⊉124","reverse_text":"≴∭⊉124=(⋃(≸≮(≴∭⊉3313⨫⇇↔≴∭⊉3241)))⋭≵(((≴∭⊉15040⇡)≋⫹)≫≃)","cot":[{"info":"≴∭⊉3313⨫⇇↔≴∭⊉3241=≴∭⊉-1352","layer":3},{"info":"≸≮≴∭⊉-1352=≴∭⊉34221","layer":2},{"info":"⋃≴∭⊉34221=≴∭⊉101646","layer":1},{"info":"≴∭⊉15040⇡=≴∭⊉-11335","layer":3},{"info":"≴∭⊉-11335≋⫹=≴∭⊉23003","layer":2},{"info":"≴∭⊉23003≫≃=≴∭⊉53050","layer":1},{"info":"≴∭⊉101646⋭≵≴∭⊉53050=≴∭⊉124","layer":0}]}
+{"id":215,"expression_no_base_symbol":"(($3765$⇴$2120$)⩇∃⫛($1527$⩒⫫$1361$)≭($1054$∠⫱$1008$)⪛(⊑$3601$))∀⇚≩((⨑⩽⪐(⪁⇼$2267$))⊧↖)","expression":"((≴∭⊉13656⇴≴∭⊉6116)⩇∃⫛(≴∭⊉4311⩒⫫≴∭⊉3653)≭(≴∭⊉3034∠⫱≴∭⊉2640)⪛(⊑≴∭⊉13333))∀⇚≩((⨑⩽⪐(⪁⇼≴∭⊉6416))⊧↖)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":22305,"operation_count":11,"complexity_ratio":2027.7272727272727,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":3765,"base":7},"right_expr":{"type":"numeric_atoms","value":2120,"base":7}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":1527,"base":7},"right_expr":{"type":"numeric_atoms","value":1361,"base":7}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":1054,"base":7},"right_expr":{"type":"numeric_atoms","value":1008,"base":7}},"right_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"numeric_atoms","value":3601,"base":7}}}},"right_expr":{"type":"unary","operator":"⊧↖","unary_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"numeric_atoms","value":2267,"base":7}}}}},"used_operators":["LRNGc0VcxI","rxpJgHHUmx","1aApVXNlOP","4JB6nKBMSY","KFSx94NKJn","uFcxV4UQCh","QvoQhV0rrE","IkUmn0D7oy","EKiFHuOFxO","AF7qkfDlqP","ZNVVrZ94lY"],"dependent_operators":["X99M06cbEe","AHs5Up7iyr","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","sdazOOVcIp","NTOWxs364D","COABgblf1C","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","5twsqlHp2o","dfKe02y8D2","8HhzD0ZcuI","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3765","layer":4},{"info":"number node, value=2120","layer":4},{"info":"compute binary expreesion, left_input=3765, right_input=2120, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=26444","layer":3},{"info":"number node, value=1527","layer":4},{"info":"number node, value=1361","layer":4},{"info":"compute binary expreesion, left_input=1527, right_input=1361, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=1225","layer":3},{"info":"compute binary expreesion, left_input=26444, right_input=1225, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=-24746","layer":2},{"info":"number node, value=1054","layer":4},{"info":"number node, value=1008","layer":4},{"info":"compute binary expreesion, left_input=1054, right_input=1008, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"number node, value=3601","layer":4},{"info":"compute unary expreesion, input=3601, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=192, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=82","layer":2},{"info":"compute binary expreesion, left_input=-24746, right_input=82, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"number node, value=2267","layer":4},{"info":"compute unary expreesion, input=2267, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":3},{"info":"compute unary expreesion, input=422, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-149","layer":2},{"info":"compute unary expreesion, input=-149, op_id = EKiFHuOFxO, unary_op_definition = 'a⊧↖ = { ((a⨽a)⊢(a⫚↹⊑79)) }', output=129440","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=129440, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉13656⇴≴∭⊉6116)⩇∃⫛(≴∭⊉4311⩒⫫≴∭⊉3653)≭(≴∭⊉3034∠⫱≴∭⊉2640)⪛(⊑≴∭⊉13333))∀⇚≩((⨑⩽⪐(⪁⇼≴∭⊉6416))⊧↖)=NaN","reverse_text":"NaN=((≴∭⊉13656⇴≴∭⊉6116)⩇∃⫛(≴∭⊉4311⩒⫫≴∭⊉3653)≭(≴∭⊉3034∠⫱≴∭⊉2640)⪛(⊑≴∭⊉13333))∀⇚≩((⨑⩽⪐(⪁⇼≴∭⊉6416))⊧↖)","cot":[{"info":"≴∭⊉13656⇴≴∭⊉6116=≴∭⊉140045","layer":3},{"info":"≴∭⊉4311⩒⫫≴∭⊉3653=≴∭⊉3400","layer":3},{"info":"≴∭⊉140045⩇∃⫛≴∭⊉3400=≴∭⊉-132101","layer":2},{"info":"≴∭⊉3034∠⫱≴∭⊉2640=≴∭⊉3412","layer":3},{"info":"⊑≴∭⊉13333=≴∭⊉363","layer":3},{"info":"≴∭⊉3412⪛≴∭⊉363=≴∭⊉145","layer":2},{"info":"≴∭⊉-132101≭≴∭⊉145=NaN","layer":1},{"info":"⪁⇼≴∭⊉6416=≴∭⊉1142","layer":3},{"info":"⨑⩽⪐≴∭⊉1142=≴∭⊉-302","layer":2},{"info":"≴∭⊉-302⊧↖=≴∭⊉1046243","layer":1},{"info":"NaN∀⇚≩≴∭⊉1046243=NaN","layer":0}]}
+{"id":216,"expression_no_base_symbol":"(⪲⇎(($4673$⨑≵⋬$7705$)↡⊰⫅$1888$→⨶⪴$2353$))⩁⩘(⊢≑≆((≸$6031$)⊬⨰($1523$⫳≱↱$5130$)))","expression":"(⪲⇎((≴∭⊉16424⨑≵⋬≴∭⊉31315)↡⊰⫅≴∭⊉5335→⨶⪴≴∭⊉6601))⩁⩘(⊢≑≆((≸≴∭⊉23404)⊬⨰(≴∭⊉4304⫳≱↱≴∭⊉20646)))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":99272,"operation_count":9,"complexity_ratio":11030.222222222223,"tree":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":4673,"base":7},"right_expr":{"type":"numeric_atoms","value":7705,"base":7}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":1888,"base":7},"right_expr":{"type":"numeric_atoms","value":2353,"base":7}}}},"right_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"numeric_atoms","value":6031,"base":7}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":1523,"base":7},"right_expr":{"type":"numeric_atoms","value":5130,"base":7}}}}},"used_operators":["gub5Cegaqo","XPYlsWDdGa","VCtxkLNOzz","XnXgA4xnOs","bF6eod5Gvf","27wFxooxGf","s3Fd5m9Dh2","eOf03JbCpp","ZvLB05nZmT"],"dependent_operators":["DpFCA1CohY","IWmyXbctLI","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","8w2t5hMYqp","9FxExcQeMw","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4673","layer":4},{"info":"number node, value=7705","layer":4},{"info":"compute binary expreesion, left_input=4673, right_input=7705, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-29191","layer":3},{"info":"number node, value=1888","layer":4},{"info":"number node, value=2353","layer":4},{"info":"compute binary expreesion, left_input=1888, right_input=2353, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-7059","layer":3},{"info":"compute binary expreesion, left_input=-29191, right_input=-7059, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=nan","layer":1},{"info":"number node, value=6031","layer":4},{"info":"compute unary expreesion, input=6031, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=58","layer":3},{"info":"number node, value=1523","layer":4},{"info":"number node, value=5130","layer":4},{"info":"compute binary expreesion, left_input=1523, right_input=5130, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"compute binary expreesion, left_input=58, right_input=-204, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=-700","layer":2},{"info":"compute unary expreesion, input=-700, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=1593","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1593, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(⪲⇎((≴∭⊉16424⨑≵⋬≴∭⊉31315)↡⊰⫅≴∭⊉5335→⨶⪴≴∭⊉6601))⩁⩘(⊢≑≆((≸≴∭⊉23404)⊬⨰(≴∭⊉4304⫳≱↱≴∭⊉20646)))=NaN","reverse_text":"NaN=(⪲⇎((≴∭⊉16424⨑≵⋬≴∭⊉31315)↡⊰⫅≴∭⊉5335→⨶⪴≴∭⊉6601))⩁⩘(⊢≑≆((≸≴∭⊉23404)⊬⨰(≴∭⊉4304⫳≱↱≴∭⊉20646)))","cot":[{"info":"≴∭⊉16424⨑≵⋬≴∭⊉31315=≴∭⊉-151051","layer":3},{"info":"≴∭⊉5335→⨶⪴≴∭⊉6601=≴∭⊉-26403","layer":3},{"info":"≴∭⊉-151051↡⊰⫅≴∭⊉-26403=NaN","layer":2},{"info":"⪲⇎NaN=NaN","layer":1},{"info":"≸≴∭⊉23404=≴∭⊉112","layer":3},{"info":"≴∭⊉4304⫳≱↱≴∭⊉20646=≴∭⊉-411","layer":3},{"info":"≴∭⊉112⊬⨰≴∭⊉-411=≴∭⊉-2020","layer":2},{"info":"⊢≑≆≴∭⊉-2020=≴∭⊉4434","layer":1},{"info":"NaN⩁⩘≴∭⊉4434=NaN","layer":0}]}
+{"id":217,"expression_no_base_symbol":"(($5782$≭$4274$)⇣⩺⋵($1608$⪄$3050$)⫃⨇(⪁⇼($5292$⊋≦⊧$6098$)))⪄($1098$⪢$3788$⨱∎)⇌⫙⪟($3082$∠↢$7025$)⪒⊣⊆($1442$⋾⨃∁$1093$)","expression":"((≴∭⊉22600≭≴∭⊉15314)⇣⩺⋵(≴∭⊉4455⪄≴∭⊉11615)⫃⨇(⪁⇼(≴∭⊉21300⊋≦⊧≴∭⊉23531)))⪄(≴∭⊉3126⪢≴∭⊉14021⨱∎)⇌⫙⪟(≴∭⊉11662∠↢≴∭⊉26324)⪒⊣⊆(≴∭⊉4130⋾⨃∁≴∭⊉3121)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":5227,"operation_count":13,"complexity_ratio":402.0769230769231,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":5782,"base":7},"right_expr":{"type":"numeric_atoms","value":4274,"base":7}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1608,"base":7},"right_expr":{"type":"numeric_atoms","value":3050,"base":7}}},"right_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":5292,"base":7},"right_expr":{"type":"numeric_atoms","value":6098,"base":7}}}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"unary","operator":"⨱∎","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1098,"base":7},"right_expr":{"type":"numeric_atoms","value":3788,"base":7}}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":3082,"base":7},"right_expr":{"type":"numeric_atoms","value":7025,"base":7}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":1442,"base":7},"right_expr":{"type":"numeric_atoms","value":1093,"base":7}}}}},"used_operators":["SUmda5xLS4","09Ly4LVMIf","F4yD0voBRQ","rxpJgHHUmx","ZNVVrZ94lY","oRDoc9rAEX","AFVx7xoS7T","MmTdOpaElr","dWAJyo7jo9","eRqsBgTDFp","KbjG8mgYpV","212REbPD9h"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","AHs5Up7iyr","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","tifHPKVTfV","k8jYdgA6NY","sdazOOVcIp","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE"],"result":"≴∭⊉14413","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5782","layer":4},{"info":"number node, value=4274","layer":4},{"info":"compute binary expreesion, left_input=5782, right_input=4274, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=1608","layer":4},{"info":"number node, value=3050","layer":4},{"info":"compute binary expreesion, left_input=1608, right_input=3050, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-246273","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-246273, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":2},{"info":"number node, value=5292","layer":4},{"info":"number node, value=6098","layer":4},{"info":"compute binary expreesion, left_input=5292, right_input=6098, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=-11150","layer":3},{"info":"compute unary expreesion, input=-11150, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":2},{"info":"compute binary expreesion, left_input=-260, right_input=422, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-1720","layer":1},{"info":"number node, value=1098","layer":4},{"info":"number node, value=3788","layer":4},{"info":"compute binary expreesion, left_input=1098, right_input=3788, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = MmTdOpaElr, unary_op_definition = 'a⨱∎ = { (a⇼⇔∾a) }', output=nan","layer":2},{"info":"number node, value=3082","layer":4},{"info":"number node, value=7025","layer":4},{"info":"compute binary expreesion, left_input=3082, right_input=7025, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-109596","layer":3},{"info":"number node, value=1442","layer":4},{"info":"number node, value=1093","layer":4},{"info":"compute binary expreesion, left_input=1442, right_input=1093, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=11933280","layer":3},{"info":"compute binary expreesion, left_input=-109596, right_input=11933280, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=24085854","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=24085854, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-1720, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉22600≭≴∭⊉15314)⇣⩺⋵(≴∭⊉4455⪄≴∭⊉11615)⫃⨇(⪁⇼(≴∭⊉21300⊋≦⊧≴∭⊉23531)))⪄(≴∭⊉3126⪢≴∭⊉14021⨱∎)⇌⫙⪟(≴∭⊉11662∠↢≴∭⊉26324)⪒⊣⊆(≴∭⊉4130⋾⨃∁≴∭⊉3121)=≴∭⊉14413","reverse_text":"≴∭⊉14413=((≴∭⊉22600≭≴∭⊉15314)⇣⩺⋵(≴∭⊉4455⪄≴∭⊉11615)⫃⨇(⪁⇼(≴∭⊉21300⊋≦⊧≴∭⊉23531)))⪄(≴∭⊉3126⪢≴∭⊉14021⨱∎)⇌⫙⪟(≴∭⊉11662∠↢≴∭⊉26324)⪒⊣⊆(≴∭⊉4130⋾⨃∁≴∭⊉3121)","cot":[{"info":"≴∭⊉22600≭≴∭⊉15314=NaN","layer":3},{"info":"≴∭⊉4455⪄≴∭⊉11615=≴∭⊉-2043666","layer":3},{"info":"NaN⇣⩺⋵≴∭⊉-2043666=≴∭⊉-521","layer":2},{"info":"≴∭⊉21300⊋≦⊧≴∭⊉23531=≴∭⊉-44336","layer":3},{"info":"⪁⇼≴∭⊉-44336=≴∭⊉1142","layer":2},{"info":"≴∭⊉-521⫃⨇≴∭⊉1142=≴∭⊉-5005","layer":1},{"info":"≴∭⊉3126⪢≴∭⊉14021=NaN","layer":3},{"info":"NaN⨱∎=NaN","layer":2},{"info":"≴∭⊉11662∠↢≴∭⊉26324=≴∭⊉-634344","layer":3},{"info":"≴∭⊉4130⋾⨃∁≴∭⊉3121=≴∭⊉203300622","layer":3},{"info":"≴∭⊉-634344⪒⊣⊆��∭⊉203300622=≴∭⊉411504102","layer":2},{"info":"NaN⇌⫙⪟≴∭⊉411504102=NaN","layer":1},{"info":"≴∭⊉-5005⪄NaN=≴∭⊉14413","layer":0}]}
+{"id":218,"expression_no_base_symbol":"($1033$⪚$1643$∙∹∝$5246$≨$1212$)⪘⫢((⨙⪌$2868$)⨁⊸⫻)⨳⩥⨓(($1071$⇯⋐)⊋(↨$5878$))⪬($1331$⨥⫆$1054$⇴($1255$⩘))","expression":"(≴∭⊉3004⪚≴∭⊉4535∙∹∝≴∭⊉21203≨≴∭⊉3351)⪘⫢((⨙⪌≴∭⊉11235)⨁⊸⫻)⨳⩥⨓((≴∭⊉3060⇯⋐)⊋(↨≴∭⊉23065))⪬(≴∭⊉3611⨥⫆≴∭⊉3034⇴(≴∭⊉3442⩘))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1889,"operation_count":14,"complexity_ratio":134.92857142857142,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":1033,"base":7},"right_expr":{"type":"numeric_atoms","value":1643,"base":7}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":5246,"base":7},"right_expr":{"type":"numeric_atoms","value":1212,"base":7}}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"numeric_atoms","value":2868,"base":7}}}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"unary","operator":"⇯⋐","unary_expr":{"type":"numeric_atoms","value":1071,"base":7}},"right_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"numeric_atoms","value":5878,"base":7}}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":1331,"base":7},"right_expr":{"type":"numeric_atoms","value":1054,"base":7}},"right_expr":{"type":"unary","operator":"⩘","unary_expr":{"type":"numeric_atoms","value":1255,"base":7}}}}},"used_operators":["nCS4ZIUYfx","oacrs7FA3X","HmxsFra2vL","HrjLwUk87U","0KMCeP1Jsh","glklzrTFfD","vEGLkm4Z2k","Ez1Nq5fNfI","W4tP9CfskL","LkLIoiE525","jiX4gk2v2Q","4JB6nKBMSY","yXekIHxTD4","wvHyciQT5X"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","W4YGzv6Whe","rysDP5nf3Z","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q","rGHVDoGpnC","oZj3VtZNQx","sdazOOVcIp","NTOWxs364D","COABgblf1C","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","9ICcGScMcE","dfKe02y8D2"],"result":"≴∭⊉6653","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1033","layer":4},{"info":"number node, value=1643","layer":4},{"info":"compute binary expreesion, left_input=1033, right_input=1643, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-1576","layer":3},{"info":"number node, value=5246","layer":4},{"info":"number node, value=1212","layer":4},{"info":"compute binary expreesion, left_input=5246, right_input=1212, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-49984","layer":3},{"info":"compute binary expreesion, left_input=-1576, right_input=-49984, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":2},{"info":"number node, value=2868","layer":4},{"info":"compute unary expreesion, input=2868, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":3},{"info":"compute unary expreesion, input=868, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=868","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=868, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1156","layer":1},{"info":"number node, value=1071","layer":4},{"info":"compute unary expreesion, input=1071, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=4091","layer":3},{"info":"number node, value=5878","layer":4},{"info":"compute unary expreesion, input=5878, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=4091, right_input=nan, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=nan","layer":2},{"info":"number node, value=1331","layer":4},{"info":"number node, value=1054","layer":4},{"info":"compute binary expreesion, left_input=1331, right_input=1054, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=1984","layer":3},{"info":"number node, value=1255","layer":4},{"info":"compute unary expreesion, input=1255, op_id = wvHyciQT5X, unary_op_definition = 'a⩘ = { (≦∁(a⫚↹⊑129)) }', output=67","layer":3},{"info":"compute binary expreesion, left_input=1984, right_input=67, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=11652","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=11652, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":1},{"info":"compute binary expreesion, left_input=-1156, right_input=1234, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=2390","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉3004⪚≴∭⊉4535∙∹∝≴∭⊉21203≨≴∭⊉3351)⪘⫢((⨙⪌≴∭⊉11235)⨁⊸⫻)⨳⩥⨓((≴∭⊉3060⇯⋐)⊋(↨≴∭⊉23065))⪬(≴∭⊉3611⨥⫆≴∭⊉3034⇴(≴∭⊉3442⩘))=≴∭⊉6653","reverse_text":"≴∭⊉6653=(≴∭⊉3004⪚≴∭⊉4535∙∹∝≴∭⊉21203≨≴∭⊉3351)⪘⫢((⨙⪌≴∭⊉11235)⨁⊸⫻)⨳⩥⨓((≴∭⊉3060⇯⋐)⊋(↨≴∭⊉23065))⪬(≴∭⊉3611⨥⫆≴∭⊉3034⇴(≴∭⊉3442⩘))","cot":[{"info":"≴∭⊉3004⪚≴∭⊉4535=≴∭⊉-4411","layer":3},{"info":"≴∭⊉21203≨≴∭⊉3351=≴∭⊉-265504","layer":3},{"info":"≴∭⊉-4411∙∹∝≴∭⊉-265504=≴∭⊉0","layer":2},{"info":"⨙⪌≴∭⊉11235=≴∭⊉2350","layer":3},{"info":"≴∭⊉2350⨁⊸⫻=≴∭⊉2350","layer":2},{"info":"≴∭⊉0⪘⫢≴∭⊉2350=≴∭⊉-3241","layer":1},{"info":"≴∭⊉3060⇯⋐=≴∭⊉14633","layer":3},{"info":"↨≴∭⊉23065=NaN","layer":3},{"info":"≴∭⊉14633⊋NaN=NaN","layer":2},{"info":"≴∭⊉3611⨥⫆≴∭⊉3034=≴∭⊉5533","layer":3},{"info":"≴∭⊉3442⩘=≴∭⊉124","layer":3},{"info":"≴∭⊉5533⇴≴∭⊉124=≴∭⊉45654","layer":2},{"info":"NaN⪬≴∭⊉45654=≴∭⊉3412","layer":1},{"info":"≴∭⊉-3241⨳⩥⨓≴∭⊉3412=≴∭⊉6653","layer":0}]}
+{"id":219,"expression_no_base_symbol":"(∥⊫$1300$⨥⫆$5036$)⨜⨶((⩒∊$1664$)⨑≵⋬$2075$⇴$4770$)∈","expression":"(∥⊫≴∭⊉3535⨥⫆≴∭⊉20453)⨜⨶((⩒∊≴∭⊉4565)⨑≵⋬≴∭⊉6023⇴≴∭⊉16623)∈","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":92,"operation_count":7,"complexity_ratio":13.142857142857142,"tree":{"type":"unary","operator":"∈","unary_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":1300,"base":7},"right_expr":{"type":"numeric_atoms","value":5036,"base":7}}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"numeric_atoms","value":1664,"base":7}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":2075,"base":7},"right_expr":{"type":"numeric_atoms","value":4770,"base":7}}}}},"used_operators":["ztP7wcbY7m","HiPekx5b7W","P8v4zCKN1o","yXekIHxTD4","XnXgA4xnOs","qazvmhNBbN","4JB6nKBMSY"],"dependent_operators":["rysDP5nf3Z","XPYlsWDdGa","8w2t5hMYqp","f6k1SAg4EE","14qkJME0vr","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","sdazOOVcIp","NTOWxs364D","COABgblf1C"],"result":"≴∭⊉-24121202","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1300","layer":4},{"info":"number node, value=5036","layer":4},{"info":"compute binary expreesion, left_input=1300, right_input=5036, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=9948","layer":3},{"info":"compute unary expreesion, input=9948, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=10816","layer":2},{"info":"number node, value=1664","layer":4},{"info":"compute unary expreesion, input=1664, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=2571","layer":3},{"info":"number node, value=2075","layer":4},{"info":"number node, value=4770","layer":4},{"info":"compute binary expreesion, left_input=2075, right_input=4770, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=21604","layer":3},{"info":"compute binary expreesion, left_input=2571, right_input=21604, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-136994","layer":2},{"info":"compute binary expreesion, left_input=10816, right_input=-136994, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-713021","layer":1},{"info":"compute unary expreesion, input=-713021, op_id = ztP7wcbY7m, unary_op_definition = 'a∈ = { ((⊄⩳↩250)-(a⊦⊿)) , if ((⪲⇎a)>320 or (a⪒777)>25 or a!=39) ; a , else }', output=-2139734","layer":0}],"base":7,"result_base":7,"text":"(∥⊫≴∭⊉3535⨥⫆≴∭⊉20453)⨜⨶((⩒∊≴∭⊉4565)⨑≵⋬≴∭⊉6023⇴≴∭⊉16623)∈=≴∭⊉-24121202","reverse_text":"≴∭⊉-24121202=(∥⊫≴∭⊉3535⨥⫆≴∭⊉20453)⨜⨶((⩒∊≴∭⊉4565)⨑≵⋬≴∭⊉6023⇴≴∭⊉16623)∈","cot":[{"info":"≴∭⊉3535⨥⫆≴∭⊉20453=≴∭⊉41001","layer":3},{"info":"∥⊫≴∭⊉41001=≴∭⊉43351","layer":2},{"info":"⩒∊≴∭⊉4565=≴∭⊉10332","layer":3},{"info":"≴∭⊉6023⇴≴∭⊉16623=≴∭⊉116662","layer":3},{"info":"≴∭⊉10332⨑≵⋬≴∭⊉116662=≴∭⊉-1110254","layer":2},{"info":"≴∭⊉43351⨜⨶≴∭⊉-1110254=≴∭⊉-6026531","layer":1},{"info":"≴∭⊉-6026531∈=≴∭⊉-24121202","layer":0}]}
+{"id":220,"expression_no_base_symbol":"(⇈($1227$⪡$4029$))⊲⩕⊾((↥≼⋛$3633$)∌↝($1158$⨘⋶⪀))⊪","expression":"(⇈(≴∭⊉3402⪡≴∭⊉14514))⊲⩕⊾((↥≼⋛≴∭⊉13410)∌↝(≴∭⊉3243⨘⋶⪀))⊪","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1197,"operation_count":7,"complexity_ratio":171.0,"tree":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":1227,"base":7},"right_expr":{"type":"numeric_atoms","value":4029,"base":7}}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"numeric_atoms","value":3633,"base":7}},"right_expr":{"type":"unary","operator":"⨘⋶⪀","unary_expr":{"type":"numeric_atoms","value":1158,"base":7}}}}},"used_operators":["zVYPLywUTj","DmTXOeWf9t","SLLxy00UIr","oraRL2iQuh","9Isq31Ruls","x5lMkHmzsq","XVKwrhznBb"],"dependent_operators":["sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","TpPTUOHfaN","FyVja0WsTP","UqFzSgLMvQ"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1227","layer":4},{"info":"number node, value=4029","layer":4},{"info":"compute binary expreesion, left_input=1227, right_input=4029, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"compute unary expreesion, input=107, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":2},{"info":"number node, value=3633","layer":4},{"info":"compute unary expreesion, input=3633, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-113","layer":3},{"info":"number node, value=1158","layer":4},{"info":"compute unary expreesion, input=1158, op_id = XVKwrhznBb, unary_op_definition = 'a⨘⋶⪀ = { ((326+⇶⊼a)⊱⇼⊻(a⇡)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-113, right_input=nan, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=-226","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=-226, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=9002","layer":1},{"info":"compute unary expreesion, input=9002, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":0}],"base":7,"result_base":7,"text":"(⇈(≴∭⊉3402⪡≴∭⊉14514))⊲⩕⊾((↥≼⋛≴∭⊉13410)∌↝(≴∭⊉3243⨘⋶⪀))⊪=≴∭⊉0","reverse_text":"≴∭⊉0=(⇈(≴∭⊉3402⪡≴∭⊉14514))⊲⩕⊾((↥≼⋛≴∭⊉13410)∌↝(≴∭⊉3243⨘⋶⪀))⊪","cot":[{"info":"≴∭⊉3402⪡≴∭⊉14514=≴∭⊉212","layer":3},{"info":"⇈≴∭⊉212=≴∭⊉-1206","layer":2},{"info":"↥≼⋛≴∭⊉13410=≴∭⊉-221","layer":3},{"info":"≴∭⊉3243⨘⋶⪀=NaN","layer":3},{"info":"≴∭⊉-221∌↝NaN=≴∭⊉-442","layer":2},{"info":"≴∭⊉-1206⊲⩕⊾≴∭⊉-442=≴∭⊉35150","layer":1},{"info":"≴∭⊉35150⊪=≴∭⊉0","layer":0}]}
+{"id":221,"expression_no_base_symbol":"(((⨦⪝$2093$)⊍⩺⋍$7887$⊴$1867$)↠)⊉≛↸($3610$∘$3918$)∋(⪡⇡≛$1079$)⨰($4141$⋳⪒$2555$≬⇓$1313$↤⩊$6186$)","expression":"(((⨦⪝≴∭⊉6050)⊍⩺⋍≴∭⊉31665⊴≴∭⊉5305)↠)⊉≛↸(≴∭⊉13345∘≴∭⊉14265)∋(⪡⇡≛≴∭⊉3101)⨰(≴∭⊉15034⋳⪒≴∭⊉10310≬⇓≴∭⊉3554↤⩊≴∭⊉24015)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":3067,"operation_count":12,"complexity_ratio":255.58333333333334,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"↠","unary_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"numeric_atoms","value":2093,"base":7}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":7887,"base":7},"right_expr":{"type":"numeric_atoms","value":1867,"base":7}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":3610,"base":7},"right_expr":{"type":"numeric_atoms","value":3918,"base":7}},"right_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"numeric_atoms","value":1079,"base":7}}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":4141,"base":7},"right_expr":{"type":"numeric_atoms","value":2555,"base":7}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":1313,"base":7},"right_expr":{"type":"numeric_atoms","value":6186,"base":7}}}}},"used_operators":["DZ8iAZOCBD","LBdsKIvxzf","OXDGMFPWZM","SUjycxNXIR","Nsiff2A1zJ","eewbuw0ToL","ukq6epAj5P","Z5m6OM72h2","qL4PrbW1Dq","jWTQ2TZYIH","12rbrZMWeM","13rbtpv6ld"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","d7ASUq0ydm","rysDP5nf3Z","Noe24qw2ks","xRrnTEsQ6j","dfKe02y8D2","Tw270M8GLb","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","eH2TOUuTDT","rysDP5nf3Z","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","rysDP5nf3Z","t8gj7n24qd","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY"],"result":"≴∭⊉441615","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2093","layer":4},{"info":"compute unary expreesion, input=2093, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":3},{"info":"number node, value=7887","layer":4},{"info":"number node, value=1867","layer":4},{"info":"compute binary expreesion, left_input=7887, right_input=1867, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1884, right_input=nan, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = LBdsKIvxzf, unary_op_definition = 'a↠ = { ((⨰⫟⨤603)⨐(a⫯⪬∳a)) , if (a⫁⪎18)<=15 ; (167⫚↹⊑(a-a)) , else }', output=-447","layer":1},{"info":"number node, value=3610","layer":4},{"info":"number node, value=3918","layer":4},{"info":"compute binary expreesion, left_input=3610, right_input=3918, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=7220","layer":3},{"info":"number node, value=1079","layer":4},{"info":"compute unary expreesion, input=1079, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-1079","layer":3},{"info":"compute binary expreesion, left_input=7220, right_input=-1079, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=-83504","layer":2},{"info":"number node, value=4141","layer":4},{"info":"number node, value=2555","layer":4},{"info":"compute binary expreesion, left_input=4141, right_input=2555, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=5440","layer":3},{"info":"number node, value=1313","layer":4},{"info":"number node, value=6186","layer":4},{"info":"compute binary expreesion, left_input=1313, right_input=6186, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=5440, right_input=nan, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-6013","layer":2},{"info":"compute binary expreesion, left_input=-83504, right_input=-6013, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-77481","layer":1},{"info":"compute binary expreesion, left_input=-447, right_input=-77481, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=77481","layer":0}],"base":7,"result_base":7,"text":"(((⨦⪝≴∭⊉6050)⊍⩺⋍≴∭⊉31665⊴≴∭⊉5305)↠)⊉≛↸(≴∭⊉13345∘≴∭⊉14265)∋(⪡⇡≛≴∭⊉3101)⨰(≴∭⊉15034⋳⪒≴∭⊉10310≬⇓≴∭⊉3554↤⩊≴∭⊉24015)=≴∭⊉441615","reverse_text":"≴∭⊉441615=(((⨦⪝≴∭⊉6050)⊍⩺⋍≴∭⊉31665⊴≴∭⊉5305)↠)⊉≛↸(≴∭⊉13345∘≴∭⊉14265)∋(⪡⇡≛≴∭⊉3101)⨰(≴∭⊉15034⋳⪒≴∭⊉10310≬⇓≴∭⊉3554↤⩊≴∭⊉24015)","cot":[{"info":"⨦⪝≴∭⊉6050=≴∭⊉-5331","layer":3},{"info":"≴∭⊉31665⊴≴∭⊉5305=NaN","layer":3},{"info":"≴∭⊉-5331⊍⩺⋍NaN=NaN","layer":2},{"info":"NaN↠=≴∭⊉-1206","layer":1},{"info":"≴∭⊉13345∘≴∭⊉14265=≴∭⊉30023","layer":3},{"info":"⪡⇡≛≴∭⊉3101=≴∭⊉-3101","layer":3},{"info":"≴∭⊉30023∋≴∭⊉-3101=≴∭⊉-465311","layer":2},{"info":"≴∭⊉15034⋳⪒≴∭⊉10310=≴∭⊉21601","layer":3},{"info":"≴∭⊉3554↤⩊≴∭⊉24015=NaN","layer":3},{"info":"≴∭⊉21601≬⇓NaN=≴∭⊉-23350","layer":2},{"info":"≴∭⊉-465311⨰≴∭⊉-23350=≴∭⊉-441615","layer":1},{"info":"≴∭⊉-1206⊉≛↸≴∭⊉-441615=≴∭⊉441615","layer":0}]}
+{"id":222,"expression_no_base_symbol":"(⇨(→⩰$5009$⨐$5162$))+⪬∐((∮($3360$∣$5448$))⇷(($2056$⩵∡$7092$)⨽$2687$⨿$1617$))","expression":"(⇨(→⩰≴∭⊉20414⨐≴∭⊉21023))+⪬∐((∮(≴∭⊉12540∣≴∭⊉21612))⇷((≴∭⊉5665⩵∡≴∭⊉26451)⨽≴∭⊉10556⨿≴∭⊉4500))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":14556,"operation_count":10,"complexity_ratio":1455.6,"tree":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":5009,"base":7},"right_expr":{"type":"numeric_atoms","value":5162,"base":7}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":3360,"base":7},"right_expr":{"type":"numeric_atoms","value":5448,"base":7}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":2056,"base":7},"right_expr":{"type":"numeric_atoms","value":7092,"base":7}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":2687,"base":7},"right_expr":{"type":"numeric_atoms","value":1617,"base":7}}}}},"used_operators":["2GS7woTJqF","G9tJMlZ94a","o8Pngz0Tml","Noe24qw2ks","mp7IySMOzn","CqXKPLVYql","PPChnnnBFF","8HhzD0ZcuI","Y7wcNGrDQJ","abYXlopdE0"],"dependent_operators":["g55IO6H4Gj","D4vGDi5EA2","k8jYdgA6NY","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","NTOWxs364D","glklzrTFfD","tifHPKVTfV","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5009","layer":4},{"info":"number node, value=5162","layer":4},{"info":"compute binary expreesion, left_input=5009, right_input=5162, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-10018","layer":3},{"info":"compute unary expreesion, input=-10018, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=nan","layer":1},{"info":"number node, value=3360","layer":4},{"info":"number node, value=5448","layer":4},{"info":"compute binary expreesion, left_input=3360, right_input=5448, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=3360","layer":3},{"info":"compute unary expreesion, input=3360, op_id = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=67","layer":2},{"info":"number node, value=2056","layer":4},{"info":"number node, value=7092","layer":4},{"info":"compute binary expreesion, left_input=2056, right_input=7092, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=2859","layer":3},{"info":"number node, value=2687","layer":4},{"info":"number node, value=1617","layer":4},{"info":"compute binary expreesion, left_input=2687, right_input=1617, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"compute binary expreesion, left_input=2859, right_input=-319, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-24519372","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=-24519372, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(⇨(→⩰≴∭⊉20414⨐≴∭⊉21023))+⪬∐((∮(≴∭⊉12540∣≴∭⊉21612))⇷((≴∭⊉5665⩵∡≴∭⊉26451)⨽≴∭⊉10556⨿≴∭⊉4500))=NaN","reverse_text":"NaN=(⇨(→⩰≴∭⊉20414⨐≴∭⊉21023))+⪬∐((∮(≴∭⊉12540∣≴∭⊉21612))⇷((≴∭⊉5665⩵∡≴∭⊉26451)⨽≴∭⊉10556⨿≴∭⊉4500))","cot":[{"info":"≴∭⊉20414⨐≴∭⊉21023=≴∭⊉-41131","layer":3},{"info":"→⩰≴∭⊉-41131=NaN","layer":2},{"info":"⇨NaN=NaN","layer":1},{"info":"≴∭⊉12540∣≴∭⊉21612=≴∭⊉12540","layer":3},{"info":"∮≴∭⊉12540=≴∭⊉124","layer":2},{"info":"≴∭⊉5665⩵∡≴∭⊉26451=≴∭⊉11223","layer":3},{"info":"≴∭⊉10556⨿≴∭⊉4500=≴∭⊉-634","layer":3},{"info":"≴∭⊉11223⨽≴∭⊉-634=≴∭⊉-415261023","layer":2},{"info":"≴∭⊉124⇷≴∭⊉-415261023=NaN","layer":1},{"info":"NaN+⪬∐NaN=NaN","layer":0}]}
+{"id":223,"expression_no_base_symbol":"⇋⊎⋝((($1209$∀⇚≩$7419$)⫑%∭)⪶≀⋏(⇙⪊$6425$)⪛($5889$⫥∨⫟$7438$))","expression":"⇋⊎⋝(((≴∭⊉3345∀⇚≩≴∭⊉30426)⫑%∭)⪶≀⋏(⇙⪊≴∭⊉24506)⪛(≴∭⊉23112⫥∨⫟≴∭⊉30454))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":9082,"operation_count":7,"complexity_ratio":1297.4285714285713,"tree":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"unary","operator":"⫑%∭","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1209,"base":7},"right_expr":{"type":"numeric_atoms","value":7419,"base":7}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"numeric_atoms","value":6425,"base":7}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":5889,"base":7},"right_expr":{"type":"numeric_atoms","value":7438,"base":7}}}}},"used_operators":["CzM2PEoXns","zR4jO40bMj","xUx7qlDO4z","LRNGc0VcxI","uFcxV4UQCh","pB6Fcnrjim","KYD54nUTWz"],"dependent_operators":["dWAJyo7jo9","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","GODebY97qR","qWUSsah53b","XhwjNDsVaA","oZj3VtZNQx","KYD54nUTWz","nREPSIbpBE","rGHVDoGpnC","X99M06cbEe","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1209","layer":4},{"info":"number node, value=7419","layer":4},{"info":"compute binary expreesion, left_input=1209, right_input=7419, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = xUx7qlDO4z, unary_op_definition = 'a⫑%∭ = { (((a⨟⋌⩍23)⫥∨⫟(a≀⫉a))/((a⨚141)⪟⇏(⫡⇟⇯a))) }', output=nan","layer":2},{"info":"number node, value=6425","layer":4},{"info":"compute unary expreesion, input=6425, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":3},{"info":"number node, value=5889","layer":4},{"info":"number node, value=7438","layer":4},{"info":"compute binary expreesion, left_input=5889, right_input=7438, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"⇋⊎⋝(((≴∭⊉3345∀⇚≩≴∭⊉30426)⫑%∭)⪶≀⋏(⇙⪊≴∭⊉24506)⪛(≴∭⊉23112⫥∨⫟≴∭⊉30454))=NaN","reverse_text":"NaN=⇋⊎⋝(((≴∭⊉3345∀⇚≩≴∭⊉30426)⫑%∭)⪶≀⋏(⇙⪊≴∭⊉24506)⪛(≴∭⊉23112⫥∨⫟≴∭⊉30454))","cot":[{"info":"≴∭⊉3345∀⇚≩≴∭⊉30426=NaN","layer":3},{"info":"NaN⫑%∭=NaN","layer":2},{"info":"⇙⪊≴∭⊉24506=≴∭⊉0","layer":3},{"info":"≴∭⊉23112⫥∨⫟≴∭⊉30454=NaN","layer":3},{"info":"≴∭⊉0⪛NaN=NaN","layer":2},{"info":"NaN⪶≀⋏NaN=NaN","layer":1},{"info":"⇋⊎⋝NaN=NaN","layer":0}]}
+{"id":224,"expression_no_base_symbol":"(($2142$⪢$1907$≀⩗∶$2044$≃$1323$)⪉⨛(↩$2379$)≎⪠($4450$⋾⨃∁$1581$))∑⇟⊟(($1021$⋥⋵⩄$1381$↱$7070$≀⫉$2439$)⋥≓≎($5607$⪇≇⋚$4469$)↢($4699$⩘$4630$))","expression":"((≴∭⊉6150⪢≴∭⊉5363≀⩗∶≴∭⊉5650≃≴∭⊉3600)⪉⨛(↩≴∭⊉6636)≎⪠(≴∭⊉15655⋾⨃∁≴∭⊉4416))∑⇟⊟((≴∭⊉2656⋥⋵⩄≴∭⊉4012↱≴∭⊉26420≀⫉≴∭⊉10053)⋥≓≎(≴∭⊉22230⪇≇⋚≴∭⊉16013)↢(≴∭⊉16462⩘≴∭⊉16333))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":27858,"operation_count":15,"complexity_ratio":1857.2,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2142,"base":7},"right_expr":{"type":"numeric_atoms","value":1907,"base":7}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":2044,"base":7},"right_expr":{"type":"numeric_atoms","value":1323,"base":7}}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":2379,"base":7}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":4450,"base":7},"right_expr":{"type":"numeric_atoms","value":1581,"base":7}}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":1021,"base":7},"right_expr":{"type":"numeric_atoms","value":1381,"base":7}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":7070,"base":7},"right_expr":{"type":"numeric_atoms","value":2439,"base":7}}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":5607,"base":7},"right_expr":{"type":"numeric_atoms","value":4469,"base":7}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":4699,"base":7},"right_expr":{"type":"numeric_atoms","value":4630,"base":7}}}}},"used_operators":["U7g4x0WXJJ","EWw2JM7wp4","8INZBEW696","dWAJyo7jo9","YbVcJGFEVW","aNhz54LH3e","jLgFTUHLKL","212REbPD9h","Qy55tPpLXF","SR5kFfdi6N","7t3wd0Fuz7","oZj3VtZNQx","WR6HLWljOP","3sJ7IOPOlU","cHh1gJQ2o6"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","k8jYdgA6NY","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2142","layer":4},{"info":"number node, value=1907","layer":4},{"info":"compute binary expreesion, left_input=2142, right_input=1907, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=2044","layer":4},{"info":"number node, value=1323","layer":4},{"info":"compute binary expreesion, left_input=2044, right_input=1323, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-8216","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-8216, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=nan","layer":2},{"info":"number node, value=2379","layer":4},{"info":"compute unary expreesion, input=2379, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-16252","layer":3},{"info":"number node, value=4450","layer":4},{"info":"number node, value=1581","layer":4},{"info":"compute binary expreesion, left_input=4450, right_input=1581, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=24976544","layer":3},{"info":"compute binary expreesion, left_input=-16252, right_input=24976544, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=19558, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=nan","layer":1},{"info":"number node, value=1021","layer":4},{"info":"number node, value=1381","layer":4},{"info":"compute binary expreesion, left_input=1021, right_input=1381, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"number node, value=7070","layer":4},{"info":"number node, value=2439","layer":4},{"info":"compute binary expreesion, left_input=7070, right_input=2439, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=2822, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-7944","layer":2},{"info":"number node, value=5607","layer":4},{"info":"number node, value=4469","layer":4},{"info":"compute binary expreesion, left_input=5607, right_input=4469, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"number node, value=4699","layer":4},{"info":"number node, value=4630","layer":4},{"info":"compute binary expreesion, left_input=4699, right_input=4630, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=160, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=-484","layer":2},{"info":"compute binary expreesion, left_input=-7944, right_input=-484, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉6150⪢≴∭⊉5363≀⩗∶≴∭⊉5650≃≴∭⊉3600)⪉⨛(↩≴∭⊉6636)≎⪠(≴∭⊉15655⋾⨃∁≴∭⊉4416))∑⇟⊟((≴∭⊉2656⋥⋵⩄≴∭⊉4012↱≴∭⊉26420≀⫉≴∭⊉10053)⋥≓≎(≴∭⊉22230⪇≇⋚≴∭⊉16013)↢(≴∭⊉16462⩘≴∭⊉16333))=NaN","reverse_text":"NaN=((≴∭⊉6150⪢≴∭⊉5363≀⩗∶≴∭⊉5650≃≴∭⊉3600)⪉⨛(↩≴∭⊉6636)≎⪠(≴∭⊉15655⋾⨃∁≴∭⊉4416))∑⇟⊟((≴∭⊉2656⋥⋵⩄≴∭⊉4012↱≴∭⊉26420≀⫉≴∭⊉10053)⋥≓≎(≴∭⊉22230⪇≇⋚≴∭⊉16013)↢(≴∭⊉16462⩘��∭⊉16333))","cot":[{"info":"≴∭⊉6150⪢≴∭⊉5363=NaN","layer":3},{"info":"≴∭⊉5650≃≴∭⊉3600=≴∭⊉-32645","layer":3},{"info":"NaN≀⩗∶≴∭⊉-32645=NaN","layer":2},{"info":"↩≴∭⊉6636=≴∭⊉-65245","layer":3},{"info":"≴∭⊉15655⋾⨃∁≴∭⊉4416=≴∭⊉422203625","layer":3},{"info":"≴∭⊉-65245≎⪠≴∭⊉422203625=≴∭⊉111010","layer":2},{"info":"NaN⪉⨛≴∭⊉111010=NaN","layer":1},{"info":"≴∭⊉2656⋥⋵⩄≴∭⊉4012=≴∭⊉221","layer":3},{"info":"≴∭⊉26420≀⫉≴∭⊉10053=≴∭⊉11141","layer":3},{"info":"≴∭⊉221↱≴∭⊉11141=≴∭⊉-32106","layer":2},{"info":"≴∭⊉22230⪇≇⋚≴∭⊉16013=≴∭⊉0","layer":3},{"info":"≴∭⊉16462⩘≴∭⊉16333=≴∭⊉316","layer":3},{"info":"≴∭⊉0↢≴∭⊉316=≴∭⊉-1261","layer":2},{"info":"≴∭⊉-32106⋥≓≎≴∭⊉-1261=≴∭⊉124","layer":1},{"info":"NaN∑⇟⊟≴∭⊉124=NaN","layer":0}]}
+{"id":225,"expression_no_base_symbol":"((⨮↦↱($1996$↙$1197$))⫸⊐($1230$⊹∫⫚$1816$)⋹⋡⊁($3734$⪭$2977$))⇗⋫","expression":"((⨮↦↱(≴∭⊉5551↙≴∭⊉3330))⫸⊐(≴∭⊉3405⊹∫⫚≴∭⊉5203)⋹⋡⊁(≴∭⊉13613⪭≴∭⊉11452))⇗⋫","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1326,"operation_count":7,"complexity_ratio":189.42857142857142,"tree":{"type":"unary","operator":"⇗⋫","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1996,"base":7},"right_expr":{"type":"numeric_atoms","value":1197,"base":7}}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":1230,"base":7},"right_expr":{"type":"numeric_atoms","value":1816,"base":7}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":3734,"base":7},"right_expr":{"type":"numeric_atoms","value":2977,"base":7}}}}},"used_operators":["hpqmaQFPrd","mqXw5SEYmG","sYcpBQ0cFf","yyfyN0ffXY","As8RqfVLgs","uWAJUKEvyW","j9kHMeSvPp"],"dependent_operators":["rxpJgHHUmx","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","tmPS8pqC7x","DpFCA1CohY","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","COABgblf1C","xUOZtlo3hN"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1996","layer":4},{"info":"number node, value=1197","layer":4},{"info":"compute binary expreesion, left_input=1996, right_input=1197, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3591","layer":3},{"info":"compute unary expreesion, input=-3591, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=42327","layer":2},{"info":"number node, value=1230","layer":4},{"info":"number node, value=1816","layer":4},{"info":"compute binary expreesion, left_input=1230, right_input=1816, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-260","layer":3},{"info":"number node, value=3734","layer":4},{"info":"number node, value=2977","layer":4},{"info":"compute binary expreesion, left_input=3734, right_input=2977, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"compute binary expreesion, left_input=-260, right_input=5, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=3898","layer":2},{"info":"compute binary expreesion, left_input=42327, right_input=3898, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=15467","layer":1},{"info":"compute unary expreesion, input=15467, op_id = hpqmaQFPrd, unary_op_definition = 'a⇗⋫ = { (a≭a) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((⨮↦↱(≴∭⊉5551↙≴∭⊉3330))⫸⊐(≴∭⊉3405⊹∫⫚≴∭⊉5203)⋹⋡⊁(≴∭⊉13613⪭≴∭⊉11452))⇗⋫=NaN","reverse_text":"NaN=((⨮↦↱(≴∭⊉5551↙≴∭⊉3330))⫸⊐(≴∭⊉3405⊹∫⫚≴∭⊉5203)⋹⋡⊁(≴∭⊉13613⪭≴∭⊉11452))⇗⋫","cot":[{"info":"≴∭⊉5551↙≴∭⊉3330=≴∭⊉-13320","layer":3},{"info":"⨮↦↱≴∭⊉-13320=≴∭⊉234255","layer":2},{"info":"≴∭⊉3405⊹∫⫚≴∭⊉5203=≴∭⊉-521","layer":3},{"info":"≴∭⊉13613⪭≴∭⊉11452=≴∭⊉5","layer":3},{"info":"≴∭⊉-521⋹⋡⊁≴∭⊉5=≴∭⊉14236","layer":2},{"info":"≴∭⊉234255⫸⊐≴∭⊉14236=≴∭⊉63044","layer":1},{"info":"≴∭⊉63044⇗⋫=NaN","layer":0}]}
+{"id":226,"expression_no_base_symbol":"(⋗⩴⪓(∜⨇$2316$)⊉↱≁$2165$⇡⇂$2672$)⪉⨛((⊀$6524$)+$6172$⨚⇆$2826$)⨐(⇜($6055$∪⫐$1029$))","expression":"(⋗⩴⪓(∜⨇≴∭⊉6516)⊉↱≁≴∭⊉6212⇡⇂≴∭⊉10535)⪉⨛((⊀≴∭⊉25010)+≴∭⊉23665⨚⇆≴∭⊉11145)⨐(⇜(≴∭⊉23440∪⫐≴∭⊉3000))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":57070,"operation_count":11,"complexity_ratio":5188.181818181818,"tree":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"numeric_atoms","value":2316,"base":7}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":2165,"base":7},"right_expr":{"type":"numeric_atoms","value":2672,"base":7}}}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"numeric_atoms","value":6524,"base":7}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":6172,"base":7},"right_expr":{"type":"numeric_atoms","value":2826,"base":7}}},"right_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":6055,"base":7},"right_expr":{"type":"numeric_atoms","value":1029,"base":7}}}}},"used_operators":["EWw2JM7wp4","nOKPl9n5zu","w2P8NbNXyL","uFPyJr306J","UMwdvZNt44","Noe24qw2ks","W4YGzv6Whe","oPMjh9089D","lwHaAYXP2r","lFBm8KRb8F","7YooWSwCyH"],"dependent_operators":["NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","rJVOvQCfKK","2DDjHMKMc0"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2316","layer":4},{"info":"compute unary expreesion, input=2316, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=nan","layer":3},{"info":"number node, value=2165","layer":4},{"info":"number node, value=2672","layer":4},{"info":"compute binary expreesion, left_input=2165, right_input=2672, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=nan","layer":1},{"info":"number node, value=6524","layer":4},{"info":"compute unary expreesion, input=6524, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=25834","layer":3},{"info":"number node, value=6172","layer":4},{"info":"number node, value=2826","layer":4},{"info":"compute binary expreesion, left_input=6172, right_input=2826, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=25834, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=6055","layer":4},{"info":"number node, value=1029","layer":4},{"info":"compute binary expreesion, left_input=6055, right_input=1029, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=6055","layer":3},{"info":"compute unary expreesion, input=6055, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-48848","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-48848, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(⋗⩴⪓(∜⨇≴∭⊉6516)⊉↱≁≴∭⊉6212⇡⇂≴∭⊉10535)⪉⨛((⊀≴∭⊉25010)+≴∭⊉23665⨚⇆≴∭⊉11145)⨐(⇜(≴∭⊉23440∪⫐≴∭⊉3000))=NaN","reverse_text":"NaN=(⋗⩴⪓(∜⨇≴∭⊉6516)⊉↱≁≴∭⊉6212⇡⇂≴∭⊉10535)⪉⨛((⊀≴∭⊉25010)+≴∭⊉23665⨚⇆≴∭⊉11145)⨐(⇜(≴∭⊉23440∪⫐≴∭⊉3000))","cot":[{"info":"∜⨇≴∭⊉6516=NaN","layer":3},{"info":"≴∭⊉6212⇡⇂≴∭⊉10535=NaN","layer":3},{"info":"NaN⊉↱≁NaN=NaN","layer":2},{"info":"⋗⩴⪓NaN=NaN","layer":1},{"info":"⊀≴∭⊉25010=≴∭⊉135214","layer":3},{"info":"≴∭⊉23665⨚⇆≴∭⊉11145=NaN","layer":3},{"info":"≴∭⊉135214+NaN=NaN","layer":2},{"info":"≴∭⊉23440∪⫐≴∭⊉3000=≴∭⊉23440","layer":3},{"info":"⇜≴∭⊉23440=≴∭⊉-262262","layer":2},{"info":"NaN⨐≴∭⊉-262262=NaN","layer":1},{"info":"NaN⪉⨛NaN=NaN","layer":0}]}
+{"id":227,"expression_no_base_symbol":"⪝⪂⫅(($1174$∼$2180$)+⪬∐($1005$-$3902$))⩁⩘(($1540$⫔⩽⩺$2685$)⊴($6536$↬⩅∪))","expression":"⪝⪂⫅((≴∭⊉3265∼≴∭⊉6233)+⪬∐(≴∭⊉2634-≴∭⊉14243))⩁⩘((≴∭⊉4330⫔⩽⩺≴∭⊉10554)⊴(≴∭⊉25025↬⩅∪))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":19704,"operation_count":8,"complexity_ratio":2463.0,"tree":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1174,"base":7},"right_expr":{"type":"numeric_atoms","value":2180,"base":7}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1005,"base":7},"right_expr":{"type":"numeric_atoms","value":3902,"base":7}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":1540,"base":7},"right_expr":{"type":"numeric_atoms","value":2685,"base":7}},"right_expr":{"type":"unary","operator":"↬⩅∪","unary_expr":{"type":"numeric_atoms","value":6536,"base":7}}}}},"used_operators":["XTarYq4gQB","gub5Cegaqo","2GS7woTJqF","DyGG3AbaNP","rysDP5nf3Z","Nsiff2A1zJ","i9eR4S00cU","VJ330n2nnx"],"dependent_operators":["9HNa5Wba9A","8w2t5hMYqp","DpFCA1CohY","IWmyXbctLI","g55IO6H4Gj","D4vGDi5EA2","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","dWAJyo7jo9","14qkJME0vr","Tw270M8GLb","fu6greOZ01","D4vGDi5EA2","23Mk6UjR3U","u6S6b8DprG"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1174","layer":4},{"info":"number node, value=2180","layer":4},{"info":"compute binary expreesion, left_input=1174, right_input=2180, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"number node, value=1005","layer":4},{"info":"number node, value=3902","layer":4},{"info":"compute binary expreesion, left_input=1005, right_input=3902, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-2897","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2897, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=nan","layer":2},{"info":"number node, value=1540","layer":4},{"info":"number node, value=2685","layer":4},{"info":"compute binary expreesion, left_input=1540, right_input=2685, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"number node, value=6536","layer":4},{"info":"compute unary expreesion, input=6536, op_id = VJ330n2nnx, unary_op_definition = 'a↬⩅∪ = { (a≦≮≮) , if (↽≂a)!=185 or a>=376 or a<=585 ; (a⋷a) , else }', output=-19608","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-19608, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"⪝⪂⫅((≴∭⊉3265∼≴∭⊉6233)+⪬∐(≴∭⊉2634-≴∭⊉14243))⩁⩘((≴∭⊉4330⫔⩽⩺≴∭⊉10554)⊴(≴∭⊉25025↬⩅∪))=NaN","reverse_text":"NaN=⪝⪂⫅((≴∭⊉3265∼≴∭⊉6233)+⪬∐(≴∭⊉2634-≴∭⊉14243))⩁⩘((≴∭⊉4330⫔⩽⩺≴∭⊉10554)⊴(≴∭⊉25025↬⩅∪))","cot":[{"info":"≴∭⊉3265∼≴∭⊉6233=NaN","layer":3},{"info":"≴∭⊉2634-≴∭⊉14243=≴∭⊉-11306","layer":3},{"info":"NaN+⪬∐≴∭⊉-11306=NaN","layer":2},{"info":"≴∭⊉4330⫔⩽⩺≴∭⊉10554=NaN","layer":3},{"info":"≴∭⊉25025↬⩅∪=≴∭⊉-111111","layer":3},{"info":"NaN⊴≴∭⊉-111111=NaN","layer":2},{"info":"NaN⩁⩘NaN=NaN","layer":1},{"info":"⪝⪂⫅NaN=NaN","layer":0}]}
+{"id":228,"expression_no_base_symbol":"∡$1001$⫉⨲⊜$2522$⊬⨰($5060$≄⊠$5545$)↼⊘⨖($1943$⇤$1335$↫)","expression":"∡≴∭⊉2630⫉⨲⊜≴∭⊉10232⊬⨰(≴∭⊉20516≄⊠≴∭⊉22111)↼⊘⨖(≴∭⊉5444⇤≴∭⊉3615↫)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":133,"operation_count":7,"complexity_ratio":19.0,"tree":{"type":"unary","operator":"∡","unary_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":1001,"base":7},"right_expr":{"type":"numeric_atoms","value":2522,"base":7}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":5060,"base":7},"right_expr":{"type":"numeric_atoms","value":5545,"base":7}}},"right_expr":{"type":"unary","operator":"↫","unary_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":1943,"base":7},"right_expr":{"type":"numeric_atoms","value":1335,"base":7}}}}},"used_operators":["pRsWfj4Fpp","bPywburJMS","s3Fd5m9Dh2","WhqkvtTD3t","vXNesLlMH1","uPb5QRN0te","YSKBFp38Pu"],"dependent_operators":["D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","eewbuw0ToL","zVYPLywUTj","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","i8ToyICDmI","2DQ55sFlQl","t8gj7n24qd","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q"],"result":"≴∭⊉1251441","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1001","layer":4},{"info":"number node, value=2522","layer":4},{"info":"compute binary expreesion, left_input=1001, right_input=2522, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"number node, value=5060","layer":4},{"info":"number node, value=5545","layer":4},{"info":"compute binary expreesion, left_input=5060, right_input=5545, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=93388","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=93388, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=373552","layer":2},{"info":"number node, value=1943","layer":4},{"info":"number node, value=1335","layer":4},{"info":"compute binary expreesion, left_input=1943, right_input=1335, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-13542","layer":3},{"info":"compute unary expreesion, input=-13542, op_id = uPb5QRN0te, unary_op_definition = 'a↫ = { (a∲⫓a) , if (-a)>=333 ; (a⨵⪆a) , else }', output=-13542","layer":2},{"info":"compute binary expreesion, left_input=373552, right_input=-13542, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=-27306","layer":1},{"info":"compute unary expreesion, input=-27306, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=163836","layer":0}],"base":7,"result_base":7,"text":"∡≴∭⊉2630⫉⨲⊜≴∭⊉10232⊬⨰(≴∭⊉20516≄⊠≴∭⊉22111)↼⊘⨖(≴∭⊉5444⇤≴∭⊉3615↫)=≴∭⊉1251441","reverse_text":"≴∭⊉1251441=∡≴∭⊉2630⫉⨲⊜≴∭⊉10232⊬⨰(≴∭⊉20516≄⊠≴∭⊉22111)↼⊘⨖(≴∭⊉5444⇤≴∭⊉3615↫)","cot":[{"info":"≴∭⊉2630⫉⨲⊜≴∭⊉10232=≴∭⊉0","layer":3},{"info":"≴∭⊉20516≄⊠≴∭⊉22111=≴∭⊉536161","layer":3},{"info":"≴∭⊉0⊬⨰≴∭⊉536161=≴∭⊉3114034","layer":2},{"info":"≴∭⊉5444⇤≴∭⊉3615=≴∭⊉-54324","layer":3},{"info":"≴∭⊉-54324↫=≴∭⊉-54324","layer":2},{"info":"≴∭⊉3114034↼⊘⨖≴∭⊉-54324=≴∭⊉-142416","layer":1},{"info":"∡≴∭⊉-142416=≴∭⊉1251441","layer":0}]}
+{"id":229,"expression_no_base_symbol":"(($2188$%$1050$)⇡⇂($4640$⨳⩥⨓$1318$)⨐⩸⫘(∂(⩏⊷≩$1569$)))⇗⋫","expression":"((≴∭⊉6244%≴∭⊉3030)⇡⇂(≴∭⊉16346⨳⩥⨓≴∭⊉3562)⨐⩸⫘(∂(⩏⊷≩≴∭⊉4401)))⇗⋫","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":27371,"operation_count":7,"complexity_ratio":3910.1428571428573,"tree":{"type":"unary","operator":"⇗⋫","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2188,"base":7},"right_expr":{"type":"numeric_atoms","value":1050,"base":7}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":4640,"base":7},"right_expr":{"type":"numeric_atoms","value":1318,"base":7}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"numeric_atoms","value":1569,"base":7}}}}},"used_operators":["hpqmaQFPrd","fu6greOZ01","UMwdvZNt44","k8jYdgA6NY","nCS4ZIUYfx","Uaa54Peajs","uOZ1tnYMDE"],"dependent_operators":["rxpJgHHUmx","3ViojmjbAp","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","23Mk6UjR3U","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2188","layer":4},{"info":"number node, value=1050","layer":4},{"info":"compute binary expreesion, left_input=2188, right_input=1050, op_id = k8jYdgA6NY binary_op_definition= 'None', output=88","layer":3},{"info":"number node, value=4640","layer":4},{"info":"number node, value=1318","layer":4},{"info":"compute binary expreesion, left_input=4640, right_input=1318, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-3322","layer":3},{"info":"compute binary expreesion, left_input=88, right_input=-3322, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=-91","layer":2},{"info":"number node, value=1569","layer":4},{"info":"compute unary expreesion, input=1569, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=2837","layer":3},{"info":"compute unary expreesion, input=2837, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-91, right_input=nan, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = hpqmaQFPrd, unary_op_definition = 'a⇗⋫ = { (a≭a) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉6244%≴∭⊉3030)⇡⇂(≴∭⊉16346⨳⩥⨓≴∭⊉3562)⨐⩸⫘(∂(⩏⊷≩≴∭⊉4401)))⇗⋫=NaN","reverse_text":"NaN=((≴∭⊉6244%≴∭⊉3030)⇡⇂(≴∭⊉16346⨳⩥⨓≴∭⊉3562)⨐⩸⫘(∂(⩏⊷≩≴∭⊉4401)))⇗⋫","cot":[{"info":"≴∭⊉6244%≴∭⊉3030=≴∭⊉154","layer":3},{"info":"≴∭⊉16346⨳⩥⨓≴∭⊉3562=≴∭⊉-12454","layer":3},{"info":"≴∭⊉154⇡⇂≴∭⊉-12454=≴∭⊉-160","layer":2},{"info":"⩏⊷≩≴∭⊉4401=≴∭⊉11162","layer":3},{"info":"∂≴∭⊉11162=NaN","layer":2},{"info":"≴∭⊉-160⨐⩸⫘NaN=NaN","layer":1},{"info":"NaN⇗⋫=NaN","layer":0}]}
+{"id":230,"expression_no_base_symbol":"⫇(∤↝$7196$∋$3919$)⪒⊣⊆(∓$2059$⋛$1205$)","expression":"⫇(∤↝≴∭⊉26660∋≴∭⊉14266)⪒⊣⊆(∓≴∭⊉6001⋛≴∭⊉3341)","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":413,"operation_count":6,"complexity_ratio":68.83333333333333,"tree":{"type":"unary","operator":"⫇","unary_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":7196,"base":7},"right_expr":{"type":"numeric_atoms","value":3919,"base":7}}},"right_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":2059,"base":7},"right_expr":{"type":"numeric_atoms","value":1205,"base":7}}}}},"used_operators":["YjI8oCXuph","eRqsBgTDFp","3UMq87Qwqg","ukq6epAj5P","OwUj7dcsQK","YbUVn0Rbpy"],"dependent_operators":["rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","sdazOOVcIp","W4YGzv6Whe","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA"],"result":"≴∭⊉-556653066","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=7196","layer":4},{"info":"number node, value=3919","layer":4},{"info":"compute binary expreesion, left_input=7196, right_input=3919, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=8440688","layer":3},{"info":"compute unary expreesion, input=8440688, op_id = 3UMq87Qwqg, unary_op_definition = '∤↝a = { a , if ((a⊬⨰244)<=56 or (⫇a)>308 or (a⨐673)<=60) ; (((↩⪖a)⩼⇪↪(57∝206))↺(↩(⊲⪭a))) , else }', output=8440688","layer":2},{"info":"number node, value=2059","layer":4},{"info":"number node, value=1205","layer":4},{"info":"compute binary expreesion, left_input=2059, right_input=1205, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-113661","layer":3},{"info":"compute unary expreesion, input=-113661, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=1700043","layer":2},{"info":"compute binary expreesion, left_input=8440688, right_input=1700043, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=16881376","layer":1},{"info":"compute unary expreesion, input=16881376, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-33761538","layer":0}],"base":7,"result_base":7,"text":"⫇(∤↝≴∭⊉26660∋≴∭⊉14266)⪒⊣⊆(∓≴∭⊉6001⋛≴∭⊉3341)=≴∭⊉-556653066","reverse_text":"≴∭⊉-556653066=⫇(∤↝≴∭⊉26660∋≴∭⊉14266)⪒⊣⊆(∓≴∭⊉6001⋛≴∭⊉3341)","cot":[{"info":"≴∭⊉26660∋≴∭⊉14266=≴∭⊉131513264","layer":3},{"info":"∤↝≴∭⊉131513264=≴∭⊉131513264","layer":2},{"info":"≴∭⊉6001⋛≴∭⊉3341=≴∭⊉-652242","layer":3},{"info":"∓≴∭⊉-652242=≴∭⊉20310252","layer":2},{"info":"≴∭⊉131513264⪒⊣⊆≴∭⊉20310252=≴∭⊉263326561","layer":1},{"info":"⫇≴∭⊉263326561=≴∭⊉-556653066","layer":0}]}
+{"id":231,"expression_no_base_symbol":"(⩷⨜⫀($1386$⩦$6688$⊹∫⫚(⫓⪴$3936$)))⪛(($7637$⊍)↺$1070$⊔$2875$⫸⊐($8672$⪠⩆⊳)⇴$1690$∣$1762$)","expression":"(⩷⨜⫀(≴∭⊉4020⩦≴∭⊉25333⊹∫⫚(⫓⪴≴∭⊉14322)))⪛((≴∭⊉31160⊍)↺≴∭⊉3056⊔≴∭⊉11245⫸⊐(≴∭⊉34166⪠⩆⊳)⇴≴∭⊉4633∣≴∭⊉5065)","highest_n_order":2,"priority_hierarchical_complexity":11,"normalized_expansion_degree":160529,"operation_count":12,"complexity_ratio":13377.416666666666,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":1386,"base":7},"right_expr":{"type":"numeric_atoms","value":6688,"base":7}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":3936,"base":7}}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⊍","unary_expr":{"type":"numeric_atoms","value":7637,"base":7}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":1070,"base":7},"right_expr":{"type":"numeric_atoms","value":2875,"base":7}}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":8672,"base":7}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":1690,"base":7},"right_expr":{"type":"numeric_atoms","value":1762,"base":7}}}}},"used_operators":["uFcxV4UQCh","CDi0ktkjQ4","uWAJUKEvyW","0kmYd0q39Y","eLxqMNBOBk","mqXw5SEYmG","7j4O788W3g","3nqY3DE9mg","E4l6HwMY31","4JB6nKBMSY","JLbD19bQDL","PPChnnnBFF"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","ruOEQAzv1W","nhYeJWJD5X","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","9HNa5Wba9A","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","AF7qkfDlqP","12rbrZMWeM","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","sdazOOVcIp","NTOWxs364D","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI"],"result":"≴∭⊉44214","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1386","layer":4},{"info":"number node, value=6688","layer":4},{"info":"compute binary expreesion, left_input=1386, right_input=6688, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=2772","layer":3},{"info":"number node, value=3936","layer":4},{"info":"compute unary expreesion, input=3936, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=15492096","layer":3},{"info":"compute binary expreesion, left_input=2772, right_input=15492096, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-72","layer":2},{"info":"compute unary expreesion, input=-72, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-766","layer":1},{"info":"number node, value=7637","layer":4},{"info":"compute unary expreesion, input=7637, op_id = 3nqY3DE9mg, unary_op_definition = 'a⊍ = { (⊄⩳↩(⨑⩽⪐(a⋳⪒a))) }', output=21231","layer":3},{"info":"number node, value=1070","layer":4},{"info":"number node, value=2875","layer":4},{"info":"compute binary expreesion, left_input=1070, right_input=2875, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=14115","layer":3},{"info":"compute binary expreesion, left_input=21231, right_input=14115, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=14115","layer":2},{"info":"number node, value=8672","layer":4},{"info":"compute unary expreesion, input=8672, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":3},{"info":"number node, value=1690","layer":4},{"info":"number node, value=1762","layer":4},{"info":"compute binary expreesion, left_input=1690, right_input=1762, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=1690","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1690, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=2994","layer":2},{"info":"compute binary expreesion, left_input=14115, right_input=2994, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=11851","layer":1},{"info":"compute binary expreesion, left_input=-766, right_input=11851, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=11085","layer":0}],"base":7,"result_base":7,"text":"(⩷⨜⫀(≴∭⊉4020⩦≴∭⊉25333⊹∫⫚(⫓⪴≴∭⊉14322)))⪛((≴∭⊉31160⊍)↺≴∭⊉3056⊔≴∭⊉11245⫸⊐(≴∭⊉34166⪠⩆⊳)⇴≴∭⊉4633∣≴∭⊉5065)=≴∭⊉44214","reverse_text":"≴∭⊉44214=(⩷⨜⫀(≴∭⊉4020⩦≴∭⊉25333⊹∫⫚(⫓⪴≴∭⊉14322)))⪛((≴∭⊉31160⊍)↺≴∭⊉3056⊔≴∭⊉11245⫸⊐(≴∭⊉34166⪠⩆⊳)⇴≴∭⊉4633∣≴∭⊉5065)","cot":[{"info":"≴∭⊉4020⩦≴∭⊉25333=≴∭⊉11040","layer":3},{"info":"⫓⪴≴∭⊉14322=≴∭⊉245452314","layer":3},{"info":"≴∭⊉11040⊹∫⫚≴∭⊉245452314=≴∭⊉-132","layer":2},{"info":"⩷⨜⫀≴∭⊉-132=≴∭⊉-2143","layer":1},{"info":"≴∭⊉31160⊍=≴∭⊉115620","layer":3},{"info":"≴∭⊉3056⊔≴∭⊉11245=≴∭⊉56103","layer":3},{"info":"≴∭⊉115620↺≴∭⊉56103=≴∭⊉56103","layer":2},{"info":"≴∭⊉34166⪠⩆⊳=≴∭⊉0","layer":3},{"info":"≴∭⊉4633∣≴∭⊉5065=≴∭⊉4633","layer":3},{"info":"≴∭⊉0⇴≴∭⊉4633=≴∭⊉11505","layer":2},{"info":"≴∭⊉56103⫸⊐≴∭⊉11505=≴∭⊉46360","layer":1},{"info":"≴∭⊉-2143⪛≴∭⊉46360=≴∭⊉44214","layer":0}]}
+{"id":232,"expression_no_base_symbol":"($3133$⨜⨶$3881$≀⩗∶$3316$⋹⋡⊁$2923$)∴(⇨($1147$≚⊃≕$6335$))≬⇓($7649$/$4736$)+⪬∐($2585$⊭∹↮)⨪↰⇹($1002$⪔$6068$)≁↽≥($3937$⪝$4411$)","expression":"(≴∭⊉12064⨜⨶≴∭⊉14213≀⩗∶≴∭⊉12445⋹⋡⊁≴∭⊉11344)∴(⇨(≴∭⊉3226≚⊃≕≴∭⊉24320))≬⇓(≴∭⊉31205/≴∭⊉16544)+⪬∐(≴∭⊉10352⊭∹↮)⨪↰⇹(≴∭⊉2631⪔≴∭⊉23456)≁↽≥(≴∭⊉14323⪝≴∭⊉15601)","highest_n_order":4,"priority_hierarchical_complexity":14,"normalized_expansion_degree":69224,"operation_count":14,"complexity_ratio":4944.571428571428,"tree":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":3133,"base":7},"right_expr":{"type":"numeric_atoms","value":3881,"base":7}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":3316,"base":7},"right_expr":{"type":"numeric_atoms","value":2923,"base":7}}},"right_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":1147,"base":7},"right_expr":{"type":"numeric_atoms","value":6335,"base":7}}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":7649,"base":7},"right_expr":{"type":"numeric_atoms","value":4736,"base":7}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":2585,"base":7}}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":1002,"base":7},"right_expr":{"type":"numeric_atoms","value":6068,"base":7}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":3937,"base":7},"right_expr":{"type":"numeric_atoms","value":4411,"base":7}}}}},"used_operators":["jWTQ2TZYIH","hrf7POJlIJ","8INZBEW696","HiPekx5b7W","As8RqfVLgs","G9tJMlZ94a","Bmrmz2XGnR","tmPS8pqC7x","2GS7woTJqF","XhwjNDsVaA","xNBdhnnwKq","ncHt1X6cMc","GjBEYRfMaF","wicAB68Tmb"],"dependent_operators":["AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","k8jYdgA6NY","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","rJVOvQCfKK","g55IO6H4Gj","D4vGDi5EA2","rysDP5nf3Z","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","oWn0xqSxBt","3Oe9XWJUTD","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X"],"result":"≴∭⊉-31","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3133","layer":4},{"info":"number node, value=3881","layer":4},{"info":"compute binary expreesion, left_input=3133, right_input=3881, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-7506","layer":3},{"info":"number node, value=3316","layer":4},{"info":"number node, value=2923","layer":4},{"info":"compute binary expreesion, left_input=3316, right_input=2923, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=3673","layer":3},{"info":"compute binary expreesion, left_input=-7506, right_input=3673, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=3","layer":2},{"info":"number node, value=1147","layer":4},{"info":"number node, value=6335","layer":4},{"info":"compute binary expreesion, left_input=1147, right_input=6335, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=-20207","layer":3},{"info":"compute unary expreesion, input=-20207, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=3, right_input=0, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=1654","layer":1},{"info":"number node, value=7649","layer":4},{"info":"number node, value=4736","layer":4},{"info":"compute binary expreesion, left_input=7649, right_input=4736, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"number node, value=2585","layer":4},{"info":"compute unary expreesion, input=2585, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=5170","layer":3},{"info":"compute binary expreesion, left_input=1, right_input=5170, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-3","layer":2},{"info":"number node, value=1002","layer":4},{"info":"number node, value=6068","layer":4},{"info":"compute binary expreesion, left_input=1002, right_input=6068, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"number node, value=3937","layer":4},{"info":"number node, value=4411","layer":4},{"info":"compute binary expreesion, left_input=3937, right_input=4411, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":3},{"info":"compute binary expreesion, left_input=450, right_input=237, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=15220","layer":2},{"info":"compute binary expreesion, left_input=-3, right_input=15220, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=3","layer":1},{"info":"compute binary expreesion, left_input=1654, right_input=3, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉12064⨜⨶≴∭⊉14213≀⩗∶≴∭⊉12445⋹⋡⊁≴∭⊉11344)∴(⇨(≴∭⊉3226≚⊃≕≴∭⊉24320))≬⇓(≴∭⊉31205/≴∭⊉16544)+⪬∐(≴∭⊉10352⊭∹↮)⨪↰⇹(≴∭⊉2631⪔≴∭⊉23456)≁↽≥(≴∭⊉14323⪝≴∭⊉15601)=≴∭⊉-31","reverse_text":"≴∭⊉-31=(≴∭⊉12064⨜⨶≴∭⊉14213≀⩗∶≴∭⊉12445⋹⋡⊁≴∭⊉11344)∴(⇨(≴∭⊉3226≚⊃≕≴∭⊉24320))≬⇓(≴∭⊉31205/≴∭⊉16544)+⪬∐(≴∭⊉10352⊭∹↮)⨪↰⇹(≴∭⊉2631⪔≴∭⊉23456)≁↽≥(≴∭⊉14323⪝≴∭⊉15601)","cot":[{"info":"≴∭⊉12064⨜⨶≴∭⊉14213=≴∭⊉-30612","layer":3},{"info":"≴∭⊉12445⋹⋡⊁≴∭⊉11344=≴∭⊉13465","layer":3},{"info":"≴∭⊉-30612≀⩗∶≴∭⊉13465=≴∭⊉3","layer":2},{"info":"≴∭⊉3226≚⊃≕≴∭⊉24320=≴∭⊉-112625","layer":3},{"info":"⇨≴∭⊉-112625=≴∭⊉0","layer":2},{"info":"≴∭⊉3∴≴∭⊉0=≴∭⊉4552","layer":1},{"info":"≴∭⊉31205/≴∭⊉16544=≴∭⊉1","layer":3},{"info":"≴∭⊉10352⊭∹↮=≴∭⊉21034","layer":3},{"info":"≴∭⊉1+⪬∐≴∭⊉21034=≴∭⊉-3","layer":2},{"info":"≴∭⊉2631⪔≴∭⊉23456=≴∭⊉1212","layer":3},{"info":"≴∭⊉14323⪝≴∭⊉15601=≴∭⊉456","layer":3},{"info":"≴∭⊉1212≁↽≥≴∭⊉456=≴∭⊉62242","layer":2},{"info":"≴∭⊉-3⨪↰⇹≴∭⊉62242=≴∭⊉3","layer":1},{"info":"≴∭⊉4552≬⇓≴∭⊉3=≴∭⊉-31","layer":0}]}
+{"id":233,"expression_no_base_symbol":"(⊿$2068$⪘⫢$6356$)⪬($5954$→⨶⪴$8086$↱$1543$⨸$2768$)*($1099$∌$1975$⫚↹⊑$2775$∖$2825$)⨰(⊊≼∋$7096$)⊕∕($1381$⇽⩪)","expression":"(⊿≴∭⊉6013⪘⫢≴∭⊉24350)⪬(≴∭⊉23234→⨶⪴≴∭⊉32401↱≴∭⊉4333⨸≴∭⊉11033)*(≴∭⊉3130∌≴∭⊉5521⫚↹⊑≴∭⊉11043∖≴∭⊉11144)⨰(⊊≼∋≴∭⊉26455)⊕∕(≴∭⊉4012⇽⩪)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":9894,"operation_count":14,"complexity_ratio":706.7142857142857,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2068,"base":7},"right_expr":{"type":"numeric_atoms","value":6356,"base":7}}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":5954,"base":7},"right_expr":{"type":"numeric_atoms","value":8086,"base":7}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":1543,"base":7},"right_expr":{"type":"numeric_atoms","value":2768,"base":7}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":1099,"base":7},"right_expr":{"type":"numeric_atoms","value":1975,"base":7}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":2775,"base":7},"right_expr":{"type":"numeric_atoms","value":2825,"base":7}}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"numeric_atoms","value":7096,"base":7}},"right_expr":{"type":"unary","operator":"⇽⩪","unary_expr":{"type":"numeric_atoms","value":1381,"base":7}}}}},"used_operators":["9HNa5Wba9A","Ez1Nq5fNfI","DO4fhlbJSI","oacrs7FA3X","SR5kFfdi6N","bF6eod5Gvf","KmoU8R5UQR","eewbuw0ToL","dfKe02y8D2","8cLx32lpNA","tXD093vOjl","9cloC0Ngie","FWz7pXsQhA","FonBHBYJbU"],"dependent_operators":["W4YGzv6Whe","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","8w2t5hMYqp","9FxExcQeMw","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","B5M0gjZbta","jCPkEVoL5K","W4YGzv6Whe","e1ybzncUwg","23Mk6UjR3U","tifHPKVTfV","g55IO6H4Gj","eewbuw0ToL","AF7qkfDlqP"],"result":"≴∭⊉50656","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2068","layer":4},{"info":"number node, value=6356","layer":4},{"info":"compute binary expreesion, left_input=2068, right_input=6356, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=4012","layer":3},{"info":"compute unary expreesion, input=4012, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-16786","layer":2},{"info":"number node, value=5954","layer":4},{"info":"number node, value=8086","layer":4},{"info":"compute binary expreesion, left_input=5954, right_input=8086, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-24258","layer":3},{"info":"number node, value=1543","layer":4},{"info":"number node, value=2768","layer":4},{"info":"compute binary expreesion, left_input=1543, right_input=2768, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=3086","layer":3},{"info":"compute binary expreesion, left_input=-24258, right_input=3086, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-8736","layer":2},{"info":"compute binary expreesion, left_input=-16786, right_input=-8736, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":1},{"info":"number node, value=1099","layer":4},{"info":"number node, value=1975","layer":4},{"info":"compute binary expreesion, left_input=1099, right_input=1975, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-1975","layer":3},{"info":"number node, value=2775","layer":4},{"info":"number node, value=2825","layer":4},{"info":"compute binary expreesion, left_input=2775, right_input=2825, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-1975, right_input=0, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"number node, value=7096","layer":4},{"info":"compute unary expreesion, input=7096, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=-447","layer":3},{"info":"number node, value=1381","layer":4},{"info":"compute unary expreesion, input=1381, op_id = FonBHBYJbU, unary_op_definition = 'a⇽⩪ = { (((≉88)⨰(⨑⩽⪐a))⨸⪁((a+95)⇼⇔∾(a⋷a))) }', output=3284","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=3284, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=-447, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=10","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=10, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=12340","layer":0}],"base":7,"result_base":7,"text":"(⊿≴∭⊉6013⪘⫢≴∭⊉24350)⪬(≴∭⊉23234→⨶⪴≴∭⊉32401↱≴∭⊉4333⨸≴∭⊉11033)*(≴∭⊉3130∌≴∭⊉5521⫚↹⊑≴∭⊉11043∖≴∭⊉11144)⨰(⊊≼∋≴∭⊉26455)⊕∕(≴∭⊉4012⇽⩪)=≴∭⊉50656","reverse_text":"≴∭⊉50656=(⊿≴∭⊉6013⪘⫢≴∭⊉24350)⪬(≴∭⊉23234→⨶⪴≴∭⊉32401↱≴∭⊉4333⨸≴∭⊉11033)*(≴∭⊉3130∌≴∭⊉5521⫚↹⊑≴∭⊉11043∖≴∭⊉11144)⨰(⊊≼∋≴∭⊉26455)⊕∕(≴∭⊉4012⇽⩪)","cot":[{"info":"≴∭⊉6013⪘⫢≴∭⊉24350=≴∭⊉14461","layer":3},{"info":"⊿≴∭⊉14461=≴∭⊉-66640","layer":2},{"info":"≴∭⊉23234→⨶⪴≴∭⊉32401=≴∭⊉-130503","layer":3},{"info":"≴∭⊉4333⨸≴∭⊉11033=≴∭⊉11666","layer":3},{"info":"≴∭⊉-130503↱≴∭⊉11666=≴∭⊉-34320","layer":2},{"info":"≴∭⊉-66640⪬≴∭⊉-34320=≴∭⊉3412","layer":1},{"info":"≴∭⊉3130∌≴∭⊉5521=≴∭⊉-5521","layer":3},{"info":"≴∭⊉11043∖≴∭⊉11144=≴∭⊉0","layer":3},{"info":"≴∭⊉-5521⫚↹⊑≴∭⊉0=≴∭⊉-1206","layer":2},{"info":"⊊≼∋≴∭⊉26455=≴∭⊉-1206","layer":3},{"info":"≴∭⊉4012⇽⩪=≴∭⊉12401","layer":3},{"info":"≴∭⊉-1206⊕∕≴∭⊉12401=≴∭⊉-1206","layer":2},{"info":"≴∭⊉-1206⨰≴∭⊉-1206=≴∭⊉13","layer":1},{"info":"≴∭⊉3412*≴∭⊉13=≴∭⊉50656","layer":0}]}
+{"id":234,"expression_no_base_symbol":"⊄⩳↩(≅≯⇸($4609$⫥∨⫟$1323$)∇⊂⋱($6500$⨰$2247$))","expression":"⊄⩳↩(≅≯⇸(≴∭⊉16303⫥∨⫟≴∭⊉3600)∇⊂⋱(≴∭⊉24644⨰≴∭⊉6360))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":192,"operation_count":5,"complexity_ratio":38.4,"tree":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":4609,"base":7},"right_expr":{"type":"numeric_atoms","value":1323,"base":7}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":6500,"base":7},"right_expr":{"type":"numeric_atoms","value":2247,"base":7}}}}},"used_operators":["8w2t5hMYqp","apS25hmuAe","nhYeJWJD5X","KYD54nUTWz","eewbuw0ToL"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","EBcxylXtPf","QMFrweE19q","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=4609","layer":4},{"info":"number node, value=1323","layer":4},{"info":"compute binary expreesion, left_input=4609, right_input=1323, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=6500","layer":4},{"info":"number node, value=2247","layer":4},{"info":"compute binary expreesion, left_input=6500, right_input=2247, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=4263","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4263, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"⊄⩳↩(≅≯⇸(≴∭⊉16303⫥∨⫟≴∭⊉3600)∇⊂⋱(≴∭⊉24644⨰≴∭⊉6360))=NaN","reverse_text":"NaN=⊄⩳↩(≅≯⇸(≴∭⊉16303⫥∨⫟≴∭⊉3600)∇⊂⋱(≴∭⊉24644⨰≴∭⊉6360))","cot":[{"info":"≴∭⊉16303⫥∨⫟≴∭⊉3600=NaN","layer":3},{"info":"≴∭⊉24644⨰≴∭⊉6360=≴∭⊉15300","layer":3},{"info":"NaN∇⊂⋱≴∭⊉15300=NaN","layer":2},{"info":"≅≯⇸NaN=NaN","layer":1},{"info":"⊄⩳↩NaN=NaN","layer":0}]}
+{"id":235,"expression_no_base_symbol":"(($4724$⊕∕$3008$⊾⪯⋞$3418$⨼⩣$3310$)⪘⫢($4032$⪉⨛$5942$)∘($2335$⫌⩹⨱))⊔((⨭⩧⫛(↥$1690$))⋅⇍((↨⩢⫨$3910$)⋫))","expression":"((≴∭⊉16526⊕∕≴∭⊉11525⊾⪯⋞≴∭⊉12652⨼⩣≴∭⊉12436)⪘⫢(≴∭⊉14520⪉⨛≴∭⊉23216)∘(≴∭⊉6544⫌⩹⨱))⊔((⨭⩧⫛(↥≴∭⊉4633))⋅⇍((↨⩢⫨≴∭⊉14254)⋫))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":645,"operation_count":13,"complexity_ratio":49.61538461538461,"tree":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":4724,"base":7},"right_expr":{"type":"numeric_atoms","value":3008,"base":7}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":3418,"base":7},"right_expr":{"type":"numeric_atoms","value":3310,"base":7}}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":4032,"base":7},"right_expr":{"type":"numeric_atoms","value":5942,"base":7}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":2335,"base":7}}}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":1690,"base":7}}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"numeric_atoms","value":3910,"base":7}}}}},"used_operators":["E4l6HwMY31","oacrs7FA3X","HK0tfVPux8","9cloC0Ngie","JxwMv5le6e","Z5m6OM72h2","EWw2JM7wp4","EBcxylXtPf","AdZkA7nFnk","g21JL6JxX7","A8NUZmVepG","JL8yIekQnl","Z5CJsN7DuW"],"dependent_operators":["W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","eH2TOUuTDT","rysDP5nf3Z","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","W4YGzv6Whe","rysDP5nf3Z","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","k8jYdgA6NY","tmPS8pqC7x","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4724","layer":4},{"info":"number node, value=3008","layer":4},{"info":"compute binary expreesion, left_input=4724, right_input=3008, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=4724","layer":3},{"info":"number node, value=3418","layer":4},{"info":"number node, value=3310","layer":4},{"info":"compute binary expreesion, left_input=3418, right_input=3310, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=4724, right_input=nan, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=nan","layer":2},{"info":"number node, value=4032","layer":4},{"info":"number node, value=5942","layer":4},{"info":"compute binary expreesion, left_input=4032, right_input=5942, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=6369","layer":3},{"info":"number node, value=2335","layer":4},{"info":"compute unary expreesion, input=2335, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=6071","layer":3},{"info":"compute binary expreesion, left_input=6369, right_input=6071, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=12738","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=12738, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":1},{"info":"number node, value=1690","layer":4},{"info":"compute unary expreesion, input=1690, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=7","layer":3},{"info":"compute unary expreesion, input=7, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":2},{"info":"number node, value=3910","layer":4},{"info":"compute unary expreesion, input=3910, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-22, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉16526⊕∕≴∭⊉11525⊾⪯⋞≴∭⊉12652⨼⩣≴∭⊉12436)⪘⫢(≴∭⊉14520⪉⨛≴∭⊉23216)∘(≴∭⊉6544⫌⩹⨱))⊔((⨭⩧⫛(↥≴∭⊉4633))⋅⇍((↨⩢⫨≴∭⊉14254)⋫))=NaN","reverse_text":"NaN=((≴∭⊉16526⊕∕≴∭⊉11525⊾⪯⋞≴∭⊉12652⨼⩣≴∭⊉12436)⪘⫢(≴∭⊉14520⪉⨛≴∭⊉23216)∘(≴∭⊉6544⫌⩹⨱))⊔((⨭⩧⫛(↥≴∭⊉4633))⋅⇍((↨⩢⫨≴∭⊉14254)⋫))","cot":[{"info":"≴∭⊉16526⊕∕≴∭⊉11525=≴∭⊉16526","layer":3},{"info":"≴∭⊉12652⨼⩣≴∭⊉12436=NaN","layer":3},{"info":"≴∭⊉16526⊾⪯⋞NaN=NaN","layer":2},{"info":"≴∭⊉14520⪉⨛≴∭⊉23216=≴∭⊉24366","layer":3},{"info":"≴∭⊉6544⫌⩹⨱=≴∭⊉23462","layer":3},{"info":"≴∭⊉24366∘≴∭⊉23462=≴∭⊉52065","layer":2},{"info":"NaN⪘⫢≴∭⊉52065=NaN","layer":1},{"info":"↥≴∭⊉4633=≴∭⊉10","layer":3},{"info":"⨭⩧⫛≴∭⊉10=NaN","layer":2},{"info":"↨⩢⫨≴∭⊉14254=≴∭⊉0","layer":3},{"info":"≴∭⊉0⋫=≴∭⊉0","layer":2},{"info":"NaN⋅⇍≴∭⊉0=≴∭⊉-31","layer":1},{"info":"NaN⊔≴∭⊉-31=NaN","layer":0}]}
+{"id":236,"expression_no_base_symbol":"(($3189$⩍⋽⫝̸$1525$)≁↽≥(-$3119$)→⨶⪴(($5153$⪨⊡$5375$)≚⊃≕(≑⋹$1091$)))⊬⨰(($3536$⊹∫⫚$1067$⩺⪪($1248$⫃⨇$2800$))⨓((⇐$7251$)∷$4499$⋅⇍$1515$))","expression":"((≴∭⊉12204⩍⋽⫝̸≴∭⊉4306)≁↽≥(-≴∭⊉12044)→⨶⪴((≴∭⊉21011⪨⊡≴∭⊉21446)≚⊃≕(≑⋹≴∭⊉3116)))⊬⨰((≴∭⊉13211⊹∫⫚≴∭⊉3053⩺⪪(≴∭⊉3432⫃⨇≴∭⊉11110))⨓((⇐≴∭⊉30066)∷≴∭⊉16055⋅⇍≴∭⊉4263))","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":7913,"operation_count":15,"complexity_ratio":527.5333333333333,"tree":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":3189,"base":7},"right_expr":{"type":"numeric_atoms","value":1525,"base":7}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":3119,"base":7}}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":5153,"base":7},"right_expr":{"type":"numeric_atoms","value":5375,"base":7}},"right_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"numeric_atoms","value":1091,"base":7}}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":3536,"base":7},"right_expr":{"type":"numeric_atoms","value":1067,"base":7}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":1248,"base":7},"right_expr":{"type":"numeric_atoms","value":2800,"base":7}}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"numeric_atoms","value":7251,"base":7}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":4499,"base":7},"right_expr":{"type":"numeric_atoms","value":1515,"base":7}}}}},"used_operators":["s3Fd5m9Dh2","bF6eod5Gvf","ncHt1X6cMc","BiWNJpBvwn","t8gj7n24qd","Bmrmz2XGnR","kuIXHzHcAH","6B9nyZLogK","3ViojmjbAp","uvdQJvN4PV","uWAJUKEvyW","09Ly4LVMIf","D3AQDKkPcf","nmZMaaE0Q9","AdZkA7nFnk"],"dependent_operators":["23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","8w2t5hMYqp","9FxExcQeMw","oWn0xqSxBt","3Oe9XWJUTD","Ph9nP6C5qx","xUOZtlo3hN","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","9FxExcQeMw","NTOWxs364D","7j4O788W3g","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6"],"result":"≴∭⊉200244","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3189","layer":4},{"info":"number node, value=1525","layer":4},{"info":"compute binary expreesion, left_input=3189, right_input=1525, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=579","layer":3},{"info":"number node, value=3119","layer":4},{"info":"compute unary expreesion, input=3119, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-3119","layer":3},{"info":"compute binary expreesion, left_input=579, right_input=-3119, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=196","layer":2},{"info":"number node, value=5153","layer":4},{"info":"number node, value=5375","layer":4},{"info":"compute binary expreesion, left_input=5153, right_input=5375, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=1091","layer":4},{"info":"compute unary expreesion, input=1091, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=1650","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1650, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=-8446","layer":2},{"info":"compute binary expreesion, left_input=196, right_input=-8446, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=17252","layer":1},{"info":"number node, value=3536","layer":4},{"info":"number node, value=1067","layer":4},{"info":"compute binary expreesion, left_input=3536, right_input=1067, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-88","layer":3},{"info":"number node, value=1248","layer":4},{"info":"number node, value=2800","layer":4},{"info":"compute binary expreesion, left_input=1248, right_input=2800, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-11232","layer":3},{"info":"compute binary expreesion, left_input=-88, right_input=-11232, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=1914","layer":2},{"info":"number node, value=7251","layer":4},{"info":"compute unary expreesion, input=7251, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=3596","layer":3},{"info":"number node, value=4499","layer":4},{"info":"number node, value=1515","layer":4},{"info":"compute binary expreesion, left_input=4499, right_input=1515, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"compute binary expreesion, left_input=3596, right_input=-22, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=-4390","layer":2},{"info":"compute binary expreesion, left_input=1914, right_input=-4390, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=4387","layer":1},{"info":"compute binary expreesion, left_input=17252, right_input=4387, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=33744","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉12204⩍⋽⫝̸≴∭⊉4306)≁↽≥(-≴∭⊉12044)→⨶⪴((≴∭⊉21011⪨⊡≴∭⊉21446)≚⊃≕(≑⋹≴∭⊉3116)))⊬⨰((≴∭⊉13211⊹∫⫚≴∭⊉3053⩺⪪(≴∭⊉3432⫃⨇≴∭⊉11110))⨓((⇐≴∭⊉30066)∷≴∭⊉16055⋅⇍≴∭⊉4263))=≴∭⊉200244","reverse_text":"≴∭⊉200244=((≴∭⊉12204⩍⋽⫝̸≴∭⊉4306)≁↽≥(-≴∭⊉12044)→⨶⪴((≴∭⊉21011⪨⊡≴∭⊉21446)≚⊃≕(≑⋹≴∭⊉3116)))⊬⨰((≴∭⊉13211⊹∫⫚≴∭⊉3053⩺⪪(≴∭⊉3432⫃⨇≴∭⊉11110))⨓((⇐≴∭⊉30066)∷≴∭⊉16055⋅⇍≴∭⊉4263))","cot":[{"info":"≴∭⊉12204⩍⋽⫝̸≴∭⊉4306=≴∭⊉1455","layer":3},{"info":"-≴∭⊉12044=≴∭⊉-12044","layer":3},{"info":"≴∭⊉1455≁↽≥≴∭⊉-12044=≴∭⊉400","layer":2},{"info":"≴∭⊉21011⪨⊡≴∭⊉21446=≴∭⊉0","layer":3},{"info":"≑⋹≴∭⊉3116=≴∭⊉4545","layer":3},{"info":"≴∭⊉0≚⊃≕≴∭⊉4545=≴∭⊉-33424","layer":2},{"info":"≴∭⊉400→⨶⪴≴∭⊉-33424=≴∭⊉101204","layer":1},{"info":"≴∭⊉13211⊹∫⫚≴∭⊉3053=≴∭⊉-154","layer":3},{"info":"≴∭⊉3432⫃⨇≴∭⊉11110=≴∭⊉-44514","layer":3},{"info":"≴∭⊉-154⩺⪪≴∭⊉-44514=≴∭⊉5403","layer":2},{"info":"⇐≴∭⊉30066=≴∭⊉13325","layer":3},{"info":"≴∭⊉16055⋅⇍≴∭⊉4263=≴∭⊉-31","layer":3},{"info":"≴∭⊉13325∷≴∭⊉-31=≴∭⊉-15541","layer":2},{"info":"≴∭⊉5403⨓≴∭⊉-15541=≴∭⊉15535","layer":1},{"info":"≴∭⊉101204⊬⨰≴∭⊉15535=≴∭⊉200244","layer":0}]}
+{"id":237,"expression_no_base_symbol":"((↽≂$3983$∀⇚≩$5289$)≃(⫵↿($4714$↙$1115$)))⩘(⪹($2246$⩉⊫⨁)≀⫉$1437$⊋$8477$)","expression":"((↽≂≴∭⊉14420∀⇚≩≴∭⊉21264)≃(⫵↿(≴∭⊉16513↙≴∭⊉3152)))⩘(⪹(≴∭⊉6356⩉⊫⨁)≀⫉≴∭⊉4122⊋≴∭⊉33500)","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":46838,"operation_count":10,"complexity_ratio":4683.8,"tree":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3983,"base":7},"right_expr":{"type":"numeric_atoms","value":5289,"base":7}}},"right_expr":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":4714,"base":7},"right_expr":{"type":"numeric_atoms","value":1115,"base":7}}}},"right_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"unary","operator":"⩉⊫⨁","unary_expr":{"type":"numeric_atoms","value":2246,"base":7}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":1437,"base":7},"right_expr":{"type":"numeric_atoms","value":8477,"base":7}}}}},"used_operators":["cHh1gJQ2o6","YbVcJGFEVW","u6S6b8DprG","LRNGc0VcxI","ivGwdmUAux","yyfyN0ffXY","USyYr0JgAa","oZj3VtZNQx","7qqUquhhSb","W4tP9CfskL"],"dependent_operators":["23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","tmPS8pqC7x","DpFCA1CohY","tifHPKVTfV","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","7j4O788W3g","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu"],"result":"≴∭⊉316","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3983","layer":4},{"info":"number node, value=5289","layer":4},{"info":"compute binary expreesion, left_input=3983, right_input=5289, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=nan","layer":2},{"info":"number node, value=4714","layer":4},{"info":"number node, value=1115","layer":4},{"info":"compute binary expreesion, left_input=4714, right_input=1115, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3345","layer":3},{"info":"compute unary expreesion, input=-3345, op_id = ivGwdmUAux, unary_op_definition = '⫵↿a = { ((a⫃⨇256)∽(a∀⇚≩66)) , if (⇨a)>=1 ; (↯⪼(a⨫⇇↔a)) , else }', output=137","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=137, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-1176","layer":1},{"info":"number node, value=2246","layer":4},{"info":"compute unary expreesion, input=2246, op_id = 7qqUquhhSb, unary_op_definition = 'a⩉⊫⨁ = { (331↺a) }', output=2246","layer":3},{"info":"number node, value=1437","layer":4},{"info":"number node, value=8477","layer":4},{"info":"compute binary expreesion, left_input=1437, right_input=8477, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=-470271172","layer":3},{"info":"compute binary expreesion, left_input=2246, right_input=-470271172, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":2},{"info":"compute unary expreesion, input=2822, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=-2642","layer":1},{"info":"compute binary expreesion, left_input=-1176, right_input=-2642, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":0}],"base":7,"result_base":7,"text":"((↽≂≴∭⊉14420∀⇚≩≴∭⊉21264)≃(⫵↿(≴∭⊉16513↙≴∭⊉3152)))⩘(⪹(≴∭⊉6356⩉⊫⨁)≀⫉≴∭⊉4122⊋≴∭⊉33500)=≴∭⊉316","reverse_text":"≴∭⊉316=((↽≂≴∭⊉14420∀⇚≩≴∭⊉21264)≃(⫵↿(≴∭⊉16513↙≴∭⊉3152)))⩘(⪹(≴∭⊉6356⩉⊫⨁)≀⫉≴∭⊉4122⊋≴∭⊉33500)","cot":[{"info":"≴∭⊉14420∀⇚≩≴∭⊉21264=NaN","layer":3},{"info":"↽≂NaN=NaN","layer":2},{"info":"≴∭⊉16513↙≴∭⊉3152=≴∭⊉-12516","layer":3},{"info":"⫵↿≴∭⊉-12516=≴∭⊉254","layer":2},{"info":"NaN≃≴∭⊉254=≴∭⊉-3300","layer":1},{"info":"≴∭⊉6356⩉⊫⨁=≴∭⊉6356","layer":3},{"info":"≴∭⊉4122⊋≴∭⊉33500=≴∭⊉-14440144660","layer":3},{"info":"≴∭⊉6356≀⫉≴∭⊉-14440144660=≴∭⊉11141","layer":2},{"info":"⪹≴∭⊉11141=≴∭⊉-10463","layer":1},{"info":"≴∭⊉-3300⩘≴∭⊉-10463=≴∭⊉316","layer":0}]}
+{"id":238,"expression_no_base_symbol":"((⨈⫕$5072$⫸⇳$1025$)≳⇉($8489$⩒⫫$8325$)≄⊠(≉$3560$))≝⊿(($4970$⪶≀⋏$4231$)∊∟⩊(↑$1964$)⇌⫙⪟(≀↧⇸$4263$∋$3053$))","expression":"((⨈⫕≴∭⊉20534⫸⇳≴∭⊉2663)≳⇉(≴∭⊉33515⩒⫫≴∭⊉33162)≄⊠(≉≴∭⊉13244))≝⊿((≴∭⊉20330⪶≀⋏≴∭⊉15223)∊∟⩊(↑≴∭⊉5504)⇌⫙⪟(≀↧⇸≴∭⊉15300∋≴∭⊉11621))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":140988,"operation_count":13,"complexity_ratio":10845.23076923077,"tree":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":5072,"base":7},"right_expr":{"type":"numeric_atoms","value":1025,"base":7}}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":8489,"base":7},"right_expr":{"type":"numeric_atoms","value":8325,"base":7}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":3560,"base":7}}}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":4970,"base":7},"right_expr":{"type":"numeric_atoms","value":4231,"base":7}},"right_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"numeric_atoms","value":1964,"base":7}}},"right_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":4263,"base":7},"right_expr":{"type":"numeric_atoms","value":3053,"base":7}}}}},"used_operators":["OKKcZfAt5B","V0kx6qeWkN","megm06wKyl","gx7XJ7hdpj","vXNesLlMH1","KFSx94NKJn","e1ybzncUwg","AFVx7xoS7T","ddLRYrp01A","zR4jO40bMj","tR7O2zTn5j","ljTHtUsqzn","ukq6epAj5P"],"dependent_operators":["12rbrZMWeM","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","XPYlsWDdGa","23Mk6UjR3U","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5072","layer":4},{"info":"number node, value=1025","layer":4},{"info":"compute binary expreesion, left_input=5072, right_input=1025, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":2},{"info":"number node, value=8489","layer":4},{"info":"number node, value=8325","layer":4},{"info":"compute binary expreesion, left_input=8489, right_input=8325, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=8187","layer":3},{"info":"number node, value=3560","layer":4},{"info":"compute unary expreesion, input=3560, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=4091","layer":3},{"info":"compute binary expreesion, left_input=8187, right_input=4091, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=70124","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=70124, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":1},{"info":"number node, value=4970","layer":4},{"info":"number node, value=4231","layer":4},{"info":"compute binary expreesion, left_input=4970, right_input=4231, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-23604","layer":3},{"info":"number node, value=1964","layer":4},{"info":"compute unary expreesion, input=1964, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":3},{"info":"compute binary expreesion, left_input=-23604, right_input=192, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=192","layer":2},{"info":"number node, value=4263","layer":4},{"info":"number node, value=3053","layer":4},{"info":"compute binary expreesion, left_input=4263, right_input=3053, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=6493820","layer":3},{"info":"compute unary expreesion, input=6493820, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=12987640","layer":2},{"info":"compute binary expreesion, left_input=192, right_input=12987640, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=113, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((⨈⫕≴∭⊉20534⫸⇳≴∭⊉2663)≳⇉(≴∭⊉33515⩒⫫≴∭⊉33162)≄⊠(≉≴∭⊉13244))≝⊿((≴∭⊉20330⪶≀⋏≴∭⊉15223)∊∟⩊(↑≴∭⊉5504)⇌⫙⪟(≀↧⇸≴∭⊉15300∋≴∭⊉11621))=NaN","reverse_text":"NaN=((⨈⫕≴∭⊉20534⫸⇳≴∭⊉2663)≳⇉(≴∭⊉33515⩒⫫≴∭⊉33162)≄⊠(≉≴∭⊉13244))≝⊿((≴∭⊉20330⪶≀⋏≴∭⊉15223)∊∟⩊(↑≴∭⊉5504)⇌⫙⪟(≀↧⇸≴∭⊉15300∋≴∭⊉11621))","cot":[{"info":"≴∭⊉20534⫸⇳≴∭⊉2663=≴∭⊉0","layer":3},{"info":"⨈⫕≴∭⊉0=≴∭⊉-30","layer":2},{"info":"≴∭⊉33515⩒⫫≴∭⊉33162=≴∭⊉32604","layer":3},{"info":"≉≴∭⊉13244=≴∭⊉14633","layer":3},{"info":"≴∭⊉32604≄⊠≴∭⊉14633=≴∭⊉411305","layer":2},{"info":"≴∭⊉-30≳⇉≴∭⊉411305=NaN","layer":1},{"info":"≴∭⊉20330⪶≀⋏≴∭⊉15223=≴∭⊉-125550","layer":3},{"info":"↑≴∭⊉5504=≴∭⊉363","layer":3},{"info":"≴∭⊉-125550∊∟⩊≴∭⊉363=≴∭⊉363","layer":2},{"info":"≴∭⊉15300∋≴∭⊉11621=≴∭⊉106124264","layer":3},{"info":"≀↧⇸≴∭⊉106124264=≴∭⊉215251561","layer":2},{"info":"≴∭⊉363⇌⫙⪟≴∭⊉215251561=≴∭⊉221","layer":1},{"info":"NaN≝⊿≴∭⊉221=NaN","layer":0}]}
+{"id":239,"expression_no_base_symbol":"(≔($7072$⫌⩉⩟$1276$)↳≱($1391$≨$5512$))∽($4664$⊚⫡⫭)⪚$2064$⊉↱≁$3402$⇮⋭((⨦⪝$2438$)⪐)","expression":"(≔(≴∭⊉26422⫌⩉⩟≴∭⊉3502)↳≱(≴∭⊉4025≨≴∭⊉22033))∽(≴∭⊉16412⊚⫡⫭)⪚≴∭⊉6006⊉↱≁≴∭⊉12630⇮⋭((⨦⪝≴∭⊉10052)⪐)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":6492,"operation_count":11,"complexity_ratio":590.1818181818181,"tree":{"type":"binary","operator":"∽","left_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":7072,"base":7},"right_expr":{"type":"numeric_atoms","value":1276,"base":7}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":1391,"base":7},"right_expr":{"type":"numeric_atoms","value":5512,"base":7}}}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"unary","operator":"⊚⫡⫭","unary_expr":{"type":"numeric_atoms","value":4664,"base":7}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":2064,"base":7},"right_expr":{"type":"numeric_atoms","value":3402,"base":7}}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"numeric_atoms","value":2438,"base":7}}}}},"used_operators":["y4ImoPnbV5","8FLs4eVsLt","JwTKLfZU96","XIIwhv8d0m","0KMCeP1Jsh","vkpjKywKVM","HrjLwUk87U","SpZWOsLKZJ","w2P8NbNXyL","eH2TOUuTDT","SUjycxNXIR"],"dependent_operators":["NTOWxs364D","QMFrweE19q","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","P8v4zCKN1o","rysDP5nf3Z","e1ybzncUwg","N41Kp7NANJ","sdazOOVcIp","Ph9nP6C5qx","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","W4YGzv6Whe","t8gj7n24qd","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7"],"result":"≴∭⊉-24634","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=7072","layer":4},{"info":"number node, value=1276","layer":4},{"info":"compute binary expreesion, left_input=7072, right_input=1276, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"number node, value=1391","layer":4},{"info":"number node, value=5512","layer":4},{"info":"compute binary expreesion, left_input=1391, right_input=5512, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-11434","layer":3},{"info":"compute binary expreesion, left_input=-50, right_input=-11434, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=1294","layer":1},{"info":"number node, value=4664","layer":4},{"info":"compute unary expreesion, input=4664, op_id = SpZWOsLKZJ, unary_op_definition = 'a⊚⫡⫭ = { (((∥⊫a)≧⫂∧(≉a))⪨≂((177-a)≋⫹)) }', output=-8402","layer":3},{"info":"number node, value=2064","layer":4},{"info":"number node, value=3402","layer":4},{"info":"compute binary expreesion, left_input=2064, right_input=3402, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-886","layer":3},{"info":"compute binary expreesion, left_input=-8402, right_input=-886, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=15928","layer":2},{"info":"number node, value=2438","layer":4},{"info":"compute unary expreesion, input=2438, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":3},{"info":"compute unary expreesion, input=-1884, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=-3768","layer":2},{"info":"compute binary expreesion, left_input=15928, right_input=-3768, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":1},{"info":"compute binary expreesion, left_input=1294, right_input=67, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-6493","layer":0}],"base":7,"result_base":7,"text":"(≔(≴∭⊉26422⫌⩉⩟≴∭⊉3502)↳≱(≴∭⊉4025≨≴∭⊉22033))∽(≴∭⊉16412⊚⫡⫭)⪚≴∭⊉6006⊉↱≁≴∭⊉12630⇮⋭((⨦⪝≴∭⊉10052)⪐)=≴∭⊉-24634","reverse_text":"≴∭⊉-24634=(≔(≴∭⊉26422⫌⩉⩟≴∭⊉3502)↳≱(≴∭⊉4025≨≴∭⊉22033))∽(≴∭⊉16412⊚⫡⫭)⪚≴∭⊉6006⊉↱≁≴∭⊉12630⇮⋭((⨦⪝≴∭⊉10052)⪐)","cot":[{"info":"≴∭⊉26422⫌⩉⩟≴∭⊉3502=≴∭⊉-101","layer":3},{"info":"≴∭⊉4025≨≴∭⊉22033=≴∭⊉-45223","layer":3},{"info":"≴∭⊉-101↳≱≴∭⊉-45223=≴∭⊉0","layer":2},{"info":"≔≴∭⊉0=≴∭⊉3526","layer":1},{"info":"≴∭⊉16412⊚⫡⫭=≴∭⊉-33332","layer":3},{"info":"≴∭⊉6006⊉↱≁≴∭⊉12630=≴∭⊉-2404","layer":3},{"info":"≴∭⊉-33332⪚≴∭⊉-2404=≴∭⊉64303","layer":2},{"info":"⨦⪝≴∭⊉10052=≴∭⊉-5331","layer":3},{"info":"≴∭⊉-5331⪐=≴∭⊉-13662","layer":2},{"info":"≴∭⊉64303⇮⋭≴∭⊉-13662=≴∭⊉124","layer":1},{"info":"≴∭⊉3526∽≴∭⊉124=≴∭⊉-24634","layer":0}]}
+{"id":240,"expression_no_base_symbol":"(($5360$-$1196$)⇮⋭$1273$⩁⩘$1399$)⨻⩈⩔(($8210$⫌⩹⨱)⪨⊡($2080$∙∹∝$2318$))⊉≛↸($4267$↳≱$3564$≒∊$2818$∘$4020$⇐≅)","expression":"((≴∭⊉21425-≴∭⊉3326)⇮⋭≴∭⊉3466⩁⩘≴∭⊉4036)⨻⩈⩔((≴∭⊉32636⫌⩹⨱)⪨⊡(≴∭⊉6031∙∹∝≴∭⊉6521))⊉≛↸(≴∭⊉15304↳≱≴∭⊉13251≒∊≴∭⊉11134∘≴∭⊉14502⇐≅)","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":299,"operation_count":12,"complexity_ratio":24.916666666666668,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":5360,"base":7},"right_expr":{"type":"numeric_atoms","value":1196,"base":7}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":1273,"base":7},"right_expr":{"type":"numeric_atoms","value":1399,"base":7}}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":8210,"base":7}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":2080,"base":7},"right_expr":{"type":"numeric_atoms","value":2318,"base":7}}}},"right_expr":{"type":"unary","operator":"⇐≅","unary_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":4267,"base":7},"right_expr":{"type":"numeric_atoms","value":3564,"base":7}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":2818,"base":7},"right_expr":{"type":"numeric_atoms","value":4020,"base":7}}}}},"used_operators":["DZ8iAZOCBD","nEsXyWgiOK","vkpjKywKVM","rysDP5nf3Z","gub5Cegaqo","kuIXHzHcAH","EBcxylXtPf","HmxsFra2vL","wEfv7U73WA","5KTvxBwnZo","JwTKLfZU96","Z5m6OM72h2"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","DpFCA1CohY","IWmyXbctLI","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","9FxExcQeMw","t8gj7n24qd","Ph9nP6C5qx","i8ToyICDmI","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","eH2TOUuTDT","rysDP5nf3Z"],"result":"≴∭⊉-1214","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5360","layer":4},{"info":"number node, value=1196","layer":4},{"info":"compute binary expreesion, left_input=5360, right_input=1196, op_id = rysDP5nf3Z binary_op_definition= 'None', output=4164","layer":3},{"info":"number node, value=1273","layer":4},{"info":"number node, value=1399","layer":4},{"info":"compute binary expreesion, left_input=1273, right_input=1399, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=6544","layer":3},{"info":"compute binary expreesion, left_input=4164, right_input=6544, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":2},{"info":"number node, value=8210","layer":4},{"info":"compute unary expreesion, input=8210, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=17821","layer":3},{"info":"number node, value=2080","layer":4},{"info":"number node, value=2318","layer":4},{"info":"compute binary expreesion, left_input=2080, right_input=2318, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=17821, right_input=0, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=789","layer":2},{"info":"compute binary expreesion, left_input=-473, right_input=789, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":1},{"info":"number node, value=4267","layer":4},{"info":"number node, value=3564","layer":4},{"info":"compute binary expreesion, left_input=4267, right_input=3564, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"number node, value=2818","layer":4},{"info":"number node, value=4020","layer":4},{"info":"compute binary expreesion, left_input=2818, right_input=4020, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=5636","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=5636, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=484","layer":2},{"info":"compute unary expreesion, input=484, op_id = wEfv7U73WA, unary_op_definition = 'a⇐≅ = { ((a⩷∴(a∲⫓a))≧⫂∧(-a)) }', output=452","layer":1},{"info":"compute binary expreesion, left_input=-174, right_input=452, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-452","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉21425-≴∭⊉3326)⇮⋭≴∭⊉3466⩁⩘≴∭⊉4036)⨻⩈⩔((≴∭⊉32636⫌⩹⨱)⪨⊡(≴∭⊉6031∙∹∝≴∭⊉6521))⊉≛↸(≴∭⊉15304↳≱≴∭⊉13251≒∊≴∭⊉11134∘≴∭⊉14502⇐≅)=≴∭⊉-1214","reverse_text":"≴∭⊉-1214=((≴∭⊉21425-≴∭⊉3326)⇮⋭≴∭⊉3466⩁⩘≴∭⊉4036)⨻⩈⩔((≴∭⊉32636⫌⩹⨱)⪨⊡(≴∭⊉6031∙∹∝≴∭⊉6521))⊉≛↸(≴∭⊉15304↳≱≴∭⊉13251≒∊≴∭⊉11134∘≴∭⊉14502⇐≅)","cot":[{"info":"≴∭⊉21425-≴∭⊉3326=≴∭⊉15066","layer":3},{"info":"≴∭⊉3466⩁⩘≴∭⊉4036=≴∭⊉25036","layer":3},{"info":"≴∭⊉15066⇮⋭≴∭⊉25036=≴∭⊉-1244","layer":2},{"info":"≴∭⊉32636⫌⩹⨱=≴∭⊉102646","layer":3},{"info":"≴∭⊉6031∙∹∝≴∭⊉6521=≴∭⊉0","layer":3},{"info":"≴∭⊉102646⪨⊡≴∭⊉0=≴∭⊉2205","layer":2},{"info":"≴∭⊉-1244⨻⩈⩔≴∭⊉2205=≴∭⊉-336","layer":1},{"info":"≴∭⊉15304↳≱≴∭⊉13251=≴∭⊉0","layer":3},{"info":"≴∭⊉11134∘≴∭⊉14502=≴∭⊉22301","layer":3},{"info":"≴∭⊉0≒∊≴∭⊉22301=≴∭⊉1261","layer":2},{"info":"≴∭⊉1261⇐≅=≴∭⊉1214","layer":1},{"info":"≴∭⊉-336⊉≛↸≴∭⊉1214=≴∭⊉-1214","layer":0}]}
+{"id":241,"expression_no_base_symbol":"(⪲⇎$7255$⫢⨠$2302$)≬⋮(($1606$⫚↹⊑$7486$)∁)⫌⩉⩟(⋼∭⪍$3160$)≹⇙⪍($5467$⨓$2411$)≒∊(($2871$∕⩚$3209$)⊉≛↸(⇋↷$5469$))","expression":"(⪲⇎≴∭⊉30103⫢⨠≴∭⊉6466)≬⋮((≴∭⊉4453⫚↹⊑≴∭⊉30553)∁)⫌⩉⩟(⋼∭⪍≴∭⊉12133)≹⇙⪍(≴∭⊉21640⨓≴∭⊉10013)≒∊((≴∭⊉11241∕⩚≴∭⊉12233)⊉≛↸(⇋↷≴∭⊉21642))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":5932,"operation_count":13,"complexity_ratio":456.3076923076923,"tree":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":7255,"base":7},"right_expr":{"type":"numeric_atoms","value":2302,"base":7}}},"right_expr":{"type":"unary","operator":"∁","unary_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":1606,"base":7},"right_expr":{"type":"numeric_atoms","value":7486,"base":7}}}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"numeric_atoms","value":3160,"base":7}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":5467,"base":7},"right_expr":{"type":"numeric_atoms","value":2411,"base":7}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":2871,"base":7},"right_expr":{"type":"numeric_atoms","value":3209,"base":7}},"right_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"numeric_atoms","value":5469,"base":7}}}}},"used_operators":["XIIwhv8d0m","kbkesczE7y","XPYlsWDdGa","xlXykHWxX1","jdwGQqwJi5","dfKe02y8D2","5KTvxBwnZo","AHs5Up7iyr","DbCuESL50I","3ViojmjbAp","DZ8iAZOCBD","z9ffQ9n5Zr","SWo3A1KBJH"],"dependent_operators":["B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","2DDjHMKMc0","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","dWAJyo7jo9","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG"],"result":"≴∭⊉-101","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=7255","layer":4},{"info":"number node, value=2302","layer":4},{"info":"compute binary expreesion, left_input=7255, right_input=2302, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=320","layer":2},{"info":"number node, value=1606","layer":4},{"info":"number node, value=7486","layer":4},{"info":"compute binary expreesion, left_input=1606, right_input=7486, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"compute unary expreesion, input=-447, op_id = jdwGQqwJi5, unary_op_definition = 'a∁ = { (a⋝⋈⪟a) }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=320, right_input=-447, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":1},{"info":"number node, value=3160","layer":4},{"info":"compute unary expreesion, input=3160, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-10900","layer":3},{"info":"number node, value=5467","layer":4},{"info":"number node, value=2411","layer":4},{"info":"compute binary expreesion, left_input=5467, right_input=2411, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2414","layer":3},{"info":"compute binary expreesion, left_input=-10900, right_input=-2414, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=2871","layer":4},{"info":"number node, value=3209","layer":4},{"info":"compute binary expreesion, left_input=2871, right_input=3209, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-2874","layer":3},{"info":"number node, value=5469","layer":4},{"info":"compute unary expreesion, input=5469, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=43752","layer":3},{"info":"compute binary expreesion, left_input=-2874, right_input=43752, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-43752","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-43752, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=868, right_input=nan, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":0}],"base":7,"result_base":7,"text":"(⪲⇎≴∭⊉30103⫢⨠≴∭⊉6466)≬⋮((≴∭⊉4453⫚↹⊑≴∭⊉30553)∁)⫌⩉⩟(⋼∭⪍≴∭⊉12133)≹⇙⪍(≴∭⊉21640⨓≴∭⊉10013)≒∊((≴∭⊉11241∕⩚≴∭⊉12233)⊉≛↸(⇋↷≴∭⊉21642))=≴∭⊉-101","reverse_text":"≴∭⊉-101=(⪲⇎≴∭⊉30103⫢⨠≴∭⊉6466)≬⋮((≴∭⊉4453⫚↹⊑≴∭⊉30553)∁)⫌⩉⩟(⋼∭⪍≴∭⊉12133)≹⇙⪍(≴∭⊉21640⨓≴∭⊉10013)≒∊((≴∭⊉11241∕⩚≴∭⊉12233)⊉≛↸(⇋↷≴∭⊉21642))","cot":[{"info":"≴∭⊉30103⫢⨠≴∭⊉6466=≴∭⊉316","layer":3},{"info":"⪲⇎≴∭⊉316=≴∭⊉635","layer":2},{"info":"≴∭⊉4453⫚↹⊑≴∭⊉30553=≴∭⊉-1206","layer":3},{"info":"≴∭⊉-1206∁=≴∭⊉-1206","layer":2},{"info":"≴∭⊉635≬⋮≴∭⊉-1206=≴∭⊉2350","layer":1},{"info":"⋼∭⪍≴∭⊉12133=≴∭⊉-43531","layer":3},{"info":"≴∭⊉21640⨓≴∭⊉10013=≴∭⊉-10016","layer":3},{"info":"≴∭⊉-43531≹⇙⪍≴∭⊉-10016=NaN","layer":2},{"info":"≴∭⊉11241∕⩚≴∭⊉12233=≴∭⊉-11244","layer":3},{"info":"⇋↷≴∭⊉21642=≴∭⊉241362","layer":3},{"info":"≴∭⊉-11244⊉≛↸≴∭⊉241362=≴∭⊉-241362","layer":2},{"info":"NaN≒∊≴∭⊉-241362=NaN","layer":1},{"info":"≴∭⊉2350⫌⩉⩟NaN=≴∭⊉-101","layer":0}]}
+{"id":242,"expression_no_base_symbol":"⨡↴(⫖→($2234$⊜))↓(($6190$∌↝$3440$)⇔⨋)","expression":"⨡↴(⫖→(≴∭⊉6341⊜))↓((≴∭⊉24022∌↝≴∭⊉13013)⇔⨋)","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":11761,"operation_count":6,"complexity_ratio":1960.1666666666667,"tree":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"binary","operator":"↓","left_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"unary","operator":"⊜","unary_expr":{"type":"numeric_atoms","value":2234,"base":7}}},"right_expr":{"type":"unary","operator":"⇔⨋","unary_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":6190,"base":7},"right_expr":{"type":"numeric_atoms","value":3440,"base":7}}}}},"used_operators":["liw5iZPkLH","Af076pWI7l","U4ylXWHChL","Eev2Q7dYIw","uBihLCJcMX","9Isq31Ruls"],"dependent_operators":["W4YGzv6Whe","P8v4zCKN1o","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","g55IO6H4Gj","D4vGDi5EA2","P8v4zCKN1o","N41Kp7NANJ","7j4O788W3g","glklzrTFfD","tifHPKVTfV","12rbrZMWeM","f6k1SAg4EE","D4vGDi5EA2","nCS4ZIUYfx","QMFrweE19q","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI"],"result":"≴∭⊉21301","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2234","layer":4},{"info":"compute unary expreesion, input=2234, op_id = Eev2Q7dYIw, unary_op_definition = 'a⊜ = { ((a≦≮≮)⨸⪁(∥⊫a)) }', output=-7200","layer":3},{"info":"compute unary expreesion, input=-7200, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":2},{"info":"number node, value=6190","layer":4},{"info":"number node, value=3440","layer":4},{"info":"compute binary expreesion, left_input=6190, right_input=3440, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = uBihLCJcMX, unary_op_definition = 'a⇔⨋ = { (((a⨁⊸⫻)⋳⪒a)⪒((a≦≮≮)⨁⊸⫻)) , if a<217 ; (((a≋⫹)⨳⩥⨓(a↺a))⋳⪒((a⨳⩥⨓a)⫡⨏(a⇼⇔∾a))) , else }', output=287","layer":2},{"info":"compute binary expreesion, left_input=177, right_input=287, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=4244","layer":1},{"info":"compute unary expreesion, input=4244, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=5293","layer":0}],"base":7,"result_base":7,"text":"⨡↴(⫖→(≴∭⊉6341⊜))↓((≴∭⊉24022∌↝≴∭⊉13013)⇔⨋)=≴∭⊉21301","reverse_text":"≴∭⊉21301=⨡↴(⫖→(≴∭⊉6341⊜))↓((≴∭⊉24022∌↝≴∭⊉13013)⇔⨋)","cot":[{"info":"≴∭⊉6341⊜=≴∭⊉-26664","layer":3},{"info":"⫖→≴∭⊉-26664=≴∭⊉342","layer":2},{"info":"≴∭⊉24022∌↝≴∭⊉13013=≴∭⊉0","layer":3},{"info":"≴∭⊉0⇔⨋=≴∭⊉560","layer":2},{"info":"≴∭⊉342↓≴∭⊉560=≴∭⊉15242","layer":1},{"info":"⨡↴≴∭⊉15242=≴∭⊉21301","layer":0}]}
+{"id":243,"expression_no_base_symbol":"($2282$∺≝⩲$1034$)⨂≜($2655$≭$4129$)⇷((↨⩢⫨$6549$)≬⇓($2464$≚⋢))⊋≦⊧(($1381$⊹∫⫚$4983$)⩘)⫯⪬∳(⪨⨬($1239$≬⋮$1111$))","expression":"(≴∭⊉6440∺≝⩲≴∭⊉3005)⨂≜(≴∭⊉10512≭≴∭⊉15016)⇷((↨⩢⫨≴∭⊉25044)≬⇓(≴∭⊉10120≚⋢))⊋≦⊧((≴∭⊉4012⊹∫⫚≴∭⊉20346)⩘)⫯⪬∳(⪨⨬(≴∭⊉3420≬⋮≴∭⊉3145))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":550,"operation_count":13,"complexity_ratio":42.30769230769231,"tree":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":2282,"base":7},"right_expr":{"type":"numeric_atoms","value":1034,"base":7}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2655,"base":7},"right_expr":{"type":"numeric_atoms","value":4129,"base":7}}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"numeric_atoms","value":6549,"base":7}},"right_expr":{"type":"unary","operator":"≚⋢","unary_expr":{"type":"numeric_atoms","value":2464,"base":7}}}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"unary","operator":"⩘","unary_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":1381,"base":7},"right_expr":{"type":"numeric_atoms","value":4983,"base":7}}},"right_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":1239,"base":7},"right_expr":{"type":"numeric_atoms","value":1111,"base":7}}}}},"used_operators":["oRDoc9rAEX","mp7IySMOzn","k1SHOSEABc","KPf6cnQVty","rxpJgHHUmx","jWTQ2TZYIH","Z5CJsN7DuW","MahUMFw56D","d7ASUq0ydm","wvHyciQT5X","uWAJUKEvyW","5obUd6DV38","kbkesczE7y"],"dependent_operators":["DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","AHs5Up7iyr","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","3ViojmjbAp","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","9ICcGScMcE","dfKe02y8D2","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","T2fj7uvVaJ","nlCqmYiOvY","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI"],"result":"≴∭⊉363","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2282","layer":4},{"info":"number node, value=1034","layer":4},{"info":"compute binary expreesion, left_input=2282, right_input=1034, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"number node, value=2655","layer":4},{"info":"number node, value=4129","layer":4},{"info":"compute binary expreesion, left_input=2655, right_input=4129, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"number node, value=6549","layer":4},{"info":"compute unary expreesion, input=6549, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":3},{"info":"number node, value=2464","layer":4},{"info":"compute unary expreesion, input=2464, op_id = MahUMFw56D, unary_op_definition = 'a≚⋢ = { (a⨓86) }', output=-89","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-89, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=0","layer":1},{"info":"number node, value=1381","layer":4},{"info":"number node, value=4983","layer":4},{"info":"compute binary expreesion, left_input=1381, right_input=4983, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-264","layer":3},{"info":"compute unary expreesion, input=-264, op_id = wvHyciQT5X, unary_op_definition = 'a⩘ = { (≦∁(a⫚↹⊑129)) }', output=67","layer":2},{"info":"number node, value=1239","layer":4},{"info":"number node, value=1111","layer":4},{"info":"compute binary expreesion, left_input=1239, right_input=1111, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"compute unary expreesion, input=868, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=-526, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=268","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=268, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=192","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉6440∺≝⩲≴∭⊉3005)⨂≜(≴∭⊉10512≭≴∭⊉15016)⇷((↨⩢⫨≴∭⊉25044)≬⇓(≴∭⊉10120≚⋢))⊋���⊧((≴∭⊉4012⊹∫⫚≴∭⊉20346)⩘)⫯⪬∳(⪨⨬(≴∭⊉3420≬⋮≴∭⊉3145))=≴∭⊉363","reverse_text":"≴∭⊉363=(≴∭⊉6440∺≝⩲≴∭⊉3005)⨂≜(≴∭⊉10512≭≴∭⊉15016)⇷((↨⩢⫨≴∭⊉25044)≬⇓(≴∭⊉10120≚⋢))⊋≦⊧((≴∭⊉4012⊹∫⫚≴∭⊉20346)⩘)⫯⪬∳(⪨⨬(≴∭⊉3420≬⋮≴∭⊉3145))","cot":[{"info":"≴∭⊉6440∺≝⩲≴∭⊉3005=≴∭⊉316","layer":3},{"info":"≴∭⊉10512≭≴∭⊉15016=NaN","layer":3},{"info":"≴∭⊉316⨂≜NaN=NaN","layer":2},{"info":"↨⩢⫨≴∭⊉25044=≴∭⊉0","layer":3},{"info":"≴∭⊉10120≚⋢=≴∭⊉-155","layer":3},{"info":"≴∭⊉0≬⇓≴∭⊉-155=≴∭⊉0","layer":2},{"info":"NaN⇷≴∭⊉0=≴∭⊉0","layer":1},{"info":"≴∭⊉4012⊹∫⫚≴∭⊉20346=≴∭⊉-525","layer":3},{"info":"≴∭⊉-525⩘=≴∭⊉124","layer":2},{"info":"≴∭⊉3420≬⋮≴∭⊉3145=≴∭⊉2350","layer":3},{"info":"⪨⨬≴∭⊉2350=≴∭⊉-1351","layer":2},{"info":"≴∭⊉124⫯⪬∳≴∭⊉-1351=≴∭⊉532","layer":1},{"info":"≴∭⊉0⊋≦⊧≴∭⊉532=≴∭⊉363","layer":0}]}
+{"id":244,"expression_no_base_symbol":"(($3185$≄⊠$5084$⊨$7962$⊮⊟↴$1346$)⨚($3912$⊬⨰$2387$⨹))⨿(($1411$⪚$3520$)⫁($1968$⨸$1044$)⫡⨏$4434$⪥$1263$⩍⋽⫝̸$2235$⩖⊿$3078$)","expression":"((≴∭⊉12200≄⊠≴∭⊉20552⊨≴∭⊉32133⊮⊟↴≴∭⊉3632)⨚(≴∭⊉14256⊬⨰≴∭⊉6650⨹))⨿((≴∭⊉4054⪚≴∭⊉13156)⫁(≴∭⊉5511⨸≴∭⊉3021)⫡⨏≴∭⊉15633⪥≴∭⊉3453⩍⋽⫝̸≴∭⊉6342⩖⊿≴∭⊉11655)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":5828,"operation_count":14,"complexity_ratio":416.2857142857143,"tree":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":3185,"base":7},"right_expr":{"type":"numeric_atoms","value":5084,"base":7}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":7962,"base":7},"right_expr":{"type":"numeric_atoms","value":1346,"base":7}}},"right_expr":{"type":"unary","operator":"⨹","unary_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":3912,"base":7},"right_expr":{"type":"numeric_atoms","value":2387,"base":7}}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":1411,"base":7},"right_expr":{"type":"numeric_atoms","value":3520,"base":7}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":1968,"base":7},"right_expr":{"type":"numeric_atoms","value":1044,"base":7}}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":4434,"base":7},"right_expr":{"type":"numeric_atoms","value":1263,"base":7}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":2235,"base":7},"right_expr":{"type":"numeric_atoms","value":3078,"base":7}}}}},"used_operators":["abYXlopdE0","nREPSIbpBE","vg4gO5BX6G","vXNesLlMH1","QDVgd2eftb","UnCoSGIALn","s3Fd5m9Dh2","QMFrweE19q","0ajvFaJAv0","HrjLwUk87U","KmoU8R5UQR","BiWNJpBvwn","QbnwKVWMIQ","RZ5CV9rWsJ"],"dependent_operators":["gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","BjRHVeLaeN","12rbrZMWeM","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","mp7IySMOzn","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","W4YGzv6Whe","t8gj7n24qd","cHh1gJQ2o6","AHs5Up7iyr","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","Ph9nP6C5qx","xUOZtlo3hN","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA"],"result":"≴∭⊉-634","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3185","layer":4},{"info":"number node, value=5084","layer":4},{"info":"compute binary expreesion, left_input=3185, right_input=5084, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=86012","layer":3},{"info":"number node, value=7962","layer":4},{"info":"number node, value=1346","layer":4},{"info":"compute binary expreesion, left_input=7962, right_input=1346, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=86012, right_input=0, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=345079","layer":2},{"info":"number node, value=3912","layer":4},{"info":"number node, value=2387","layer":4},{"info":"compute binary expreesion, left_input=3912, right_input=2387, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=12404","layer":3},{"info":"compute unary expreesion, input=12404, op_id = UnCoSGIALn, unary_op_definition = 'a⨹ = { (229⇷a) }', output=24808","layer":2},{"info":"compute binary expreesion, left_input=345079, right_input=24808, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=591860","layer":1},{"info":"number node, value=1411","layer":4},{"info":"number node, value=3520","layer":4},{"info":"compute binary expreesion, left_input=1411, right_input=3520, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-4574","layer":3},{"info":"number node, value=1968","layer":4},{"info":"number node, value=1044","layer":4},{"info":"compute binary expreesion, left_input=1968, right_input=1044, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=3936","layer":3},{"info":"compute binary expreesion, left_input=-4574, right_input=3936, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":2},{"info":"number node, value=4434","layer":4},{"info":"number node, value=1263","layer":4},{"info":"compute binary expreesion, left_input=4434, right_input=1263, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=22388","layer":3},{"info":"number node, value=2235","layer":4},{"info":"number node, value=3078","layer":4},{"info":"compute binary expreesion, left_input=2235, right_input=3078, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=15602","layer":3},{"info":"compute binary expreesion, left_input=22388, right_input=15602, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=14656","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=14656, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=30895","layer":1},{"info":"compute binary expreesion, left_input=591860, right_input=30895, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉12200≄⊠≴∭⊉20552⊨≴∭⊉32133⊮⊟↴≴∭⊉3632)⨚(≴∭⊉14256⊬⨰≴∭⊉6650⨹))⨿((≴∭⊉4054⪚≴∭⊉13156)⫁(≴∭⊉5511⨸≴∭⊉3021)⫡⨏≴∭⊉15633⪥≴∭⊉3453⩍⋽⫝̸≴∭⊉6342⩖⊿≴∭⊉11655)=≴∭⊉-634","reverse_text":"≴∭⊉-634=((≴∭⊉12200≄⊠≴∭⊉20552⊨≴∭⊉32133⊮⊟↴≴∭⊉3632)⨚(≴∭⊉14256⊬⨰≴∭⊉6650⨹))⨿((≴∭⊉4054⪚≴∭⊉13156)⫁(≴∭⊉5511⨸≴∭⊉3021)⫡⨏≴∭⊉15633⪥≴∭⊉3453⩍⋽⫝̸≴∭⊉6342⩖⊿≴∭⊉11655)","cot":[{"info":"≴∭⊉12200≄⊠≴∭⊉20552=≴∭⊉505523","layer":3},{"info":"≴∭⊉32133⊮⊟↴≴∭⊉3632=≴∭⊉0","layer":3},{"info":"≴∭⊉505523⊨≴∭⊉0=≴∭⊉2635030","layer":2},{"info":"≴∭⊉14256⊬⨰≴∭⊉6650=≴∭⊉51110","layer":3},{"info":"≴∭⊉51110⨹=≴∭⊉132220","layer":2},{"info":"≴∭⊉2635030⨚≴∭⊉132220=≴∭⊉5013353","layer":1},{"info":"≴∭⊉4054⪚≴∭⊉13156=≴∭⊉-16223","layer":3},{"info":"≴∭⊉5511⨸≴∭⊉3021=≴∭⊉14322","layer":3},{"info":"≴∭⊉-16223⫁≴∭⊉14322=≴∭⊉316","layer":2},{"info":"≴∭⊉15633⪥≴∭⊉3453=≴∭⊉122162","layer":3},{"info":"≴∭⊉6342⩖⊿≴∭⊉11655=≴∭⊉63326","layer":3},{"info":"≴∭⊉122162⩍⋽⫝̸≴∭⊉63326=≴∭⊉60505","layer":2},{"info":"≴∭⊉316⫡⨏≴∭⊉60505=≴∭⊉156034","layer":1},{"info":"≴∭⊉5013353⨿≴∭⊉156034=≴∭⊉-634","layer":0}]}
+{"id":245,"expression_no_base_symbol":"($1254$∇⊂⋱$2791$)⇻⋧≁($2389$⫥∨⫟$1078$)→⨶⪴($3542$∠⫱$1106$)⨐($1838$⨥⫆$5883$)⋓((⇜$1492$)⇍⊗(⨝⨆$5164$)⋅⇍($2155$≚⊃≕$1315$⨒(⪲⇎$1883$)))","expression":"(≴∭⊉3441∇⊂⋱≴∭⊉11065)⇻⋧≁(≴∭⊉6652⫥∨⫟≴∭⊉3100)→⨶⪴(≴∭⊉13220∠⫱≴∭⊉3140)⨐(≴∭⊉5234⨥⫆≴∭⊉23103)⋓((⇜≴∭⊉4231)⇍⊗(⨝⨆≴∭⊉21025)⋅⇍(≴∭⊉6166≚⊃≕≴∭⊉3556⨒(⪲⇎≴∭⊉5330)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2622,"operation_count":15,"complexity_ratio":174.8,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":1254,"base":7},"right_expr":{"type":"numeric_atoms","value":2791,"base":7}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2389,"base":7},"right_expr":{"type":"numeric_atoms","value":1078,"base":7}}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":3542,"base":7},"right_expr":{"type":"numeric_atoms","value":1106,"base":7}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":1838,"base":7},"right_expr":{"type":"numeric_atoms","value":5883,"base":7}}}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"numeric_atoms","value":1492,"base":7}},"right_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"numeric_atoms","value":5164,"base":7}}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":2155,"base":7},"right_expr":{"type":"numeric_atoms","value":1315,"base":7}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1883,"base":7}}}}},"used_operators":["T2fj7uvVaJ","bF6eod5Gvf","jCPkEVoL5K","nhYeJWJD5X","KYD54nUTWz","Noe24qw2ks","QvoQhV0rrE","yXekIHxTD4","AdZkA7nFnk","5uvYHDjeKN","lFBm8KRb8F","bQ67fsrMVf","y75s1iXyHd","Bmrmz2XGnR","XPYlsWDdGa"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","8w2t5hMYqp","9FxExcQeMw","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","8HhzD0ZcuI","rGHVDoGpnC","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","tifHPKVTfV","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1254","layer":4},{"info":"number node, value=2791","layer":4},{"info":"compute binary expreesion, left_input=1254, right_input=2791, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=1962","layer":3},{"info":"number node, value=2389","layer":4},{"info":"number node, value=1078","layer":4},{"info":"compute binary expreesion, left_input=2389, right_input=1078, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1962, right_input=nan, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":2},{"info":"number node, value=3542","layer":4},{"info":"number node, value=1106","layer":4},{"info":"compute binary expreesion, left_input=3542, right_input=1106, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"number node, value=1838","layer":4},{"info":"number node, value=5883","layer":4},{"info":"compute binary expreesion, left_input=1838, right_input=5883, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=11642","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=11642, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-2468","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=-2468, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=4010","layer":1},{"info":"number node, value=1492","layer":4},{"info":"compute unary expreesion, input=1492, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-12344","layer":3},{"info":"number node, value=5164","layer":4},{"info":"compute unary expreesion, input=5164, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=4955","layer":3},{"info":"compute binary expreesion, left_input=-12344, right_input=4955, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":2},{"info":"number node, value=2155","layer":4},{"info":"number node, value=1315","layer":4},{"info":"compute binary expreesion, left_input=2155, right_input=1315, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":3},{"info":"number node, value=1883","layer":4},{"info":"compute unary expreesion, input=1883, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=3766","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=3766, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=100","layer":2},{"info":"compute binary expreesion, left_input=-244, right_input=100, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":1},{"info":"compute binary expreesion, left_input=4010, right_input=-22, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉3441∇⊂⋱≴∭⊉11065)⇻⋧≁(≴∭⊉6652⫥∨⫟≴∭⊉3100)→⨶⪴(≴∭⊉13220∠⫱≴∭⊉3140)⨐(≴∭⊉5234⨥⫆≴∭⊉23103)⋓((⇜≴∭⊉4231)⇍⊗(⨝⨆≴∭⊉21025)⋅⇍(≴∭⊉6166≚⊃≕≴∭⊉3556⨒(⪲⇎≴∭⊉5330)))=≴∭⊉0","reverse_text":"≴∭⊉0=(≴∭⊉3441∇⊂⋱≴∭⊉11065)⇻⋧≁(≴∭⊉6652⫥∨⫟≴∭⊉3100)→⨶⪴(≴∭⊉13220∠⫱≴∭⊉3140)⨐(≴∭⊉5234⨥⫆≴∭⊉23103)⋓((⇜≴∭⊉4231)⇍⊗(⨝⨆≴∭⊉21025)⋅⇍(≴∭⊉6166≚⊃≕≴∭⊉3556⨒(⪲⇎≴∭⊉5330)))","cot":[{"info":"≴∭⊉3441∇⊂⋱≴∭⊉11065=≴∭⊉5502","layer":3},{"info":"≴∭⊉6652⫥∨⫟≴∭⊉3100=NaN","layer":3},{"info":"≴∭⊉5502⇻⋧≁NaN=≴∭⊉-1206","layer":2},{"info":"≴∭⊉13220∠⫱≴∭⊉3140=≴∭⊉3412","layer":3},{"info":"≴∭⊉5234⨥⫆≴∭⊉23103=≴∭⊉45641","layer":3},{"info":"≴∭⊉3412⨐≴∭⊉45641=≴∭⊉-10124","layer":2},{"info":"≴∭⊉-1206→⨶⪴≴∭⊉-10124=≴∭⊉14456","layer":1},{"info":"⇜≴∭⊉4231=≴∭⊉-50663","layer":3},{"info":"⨝⨆≴∭⊉21025=≴∭⊉20306","layer":3},{"info":"≴∭⊉-50663⇍⊗≴∭⊉20306=≴∭⊉-466","layer":2},{"info":"≴∭⊉6166≚⊃≕≴∭⊉3556=≴∭⊉124","layer":3},{"info":"⪲⇎≴∭⊉5330=≴∭⊉13660","layer":3},{"info":"≴∭⊉124⨒≴∭⊉13660=≴∭⊉202","layer":2},{"info":"≴∭⊉-466⋅⇍≴∭⊉202=≴∭⊉-31","layer":1},{"info":"≴∭⊉14456⋓≴∭⊉-31=≴∭⊉0","layer":0}]}
+{"id":246,"expression_no_base_symbol":"((⇐$3505$)⩁⩘($3927$⫸⇳$2225$)∀⋜↑)↙(≪(⊲⪭($3457$≀⩗∶$1059$)))","expression":"((⇐≴∭⊉13135)⩁⩘(≴∭⊉14310⫸⇳≴∭⊉6326)∀⋜↑)↙(≪(⊲⪭(≴∭⊉13036≀⩗∶≴∭⊉3042)))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":147,"operation_count":8,"complexity_ratio":18.375,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"∀⋜↑","unary_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"numeric_atoms","value":3505,"base":7}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":3927,"base":7},"right_expr":{"type":"numeric_atoms","value":2225,"base":7}}}},"right_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":3457,"base":7},"right_expr":{"type":"numeric_atoms","value":1059,"base":7}}}}},"used_operators":["yyfyN0ffXY","KipPnG1M2J","gub5Cegaqo","nmZMaaE0Q9","gx7XJ7hdpj","Qtd6bqUJcN","k7HXdKtiEU","8INZBEW696"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","eLAdDNolq6","23Mk6UjR3U","f6k1SAg4EE","DpFCA1CohY","IWmyXbctLI","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","i8ToyICDmI","xUOZtlo3hN","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3505","layer":4},{"info":"compute unary expreesion, input=3505, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=8256","layer":3},{"info":"number node, value=3927","layer":4},{"info":"number node, value=2225","layer":4},{"info":"compute binary expreesion, left_input=3927, right_input=2225, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)���≄⫣)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=8256, right_input=0, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = KipPnG1M2J, unary_op_definition = 'a∀⋜↑ = { ((≤/a)⪒(a⋷a)) }', output=nan","layer":1},{"info":"number node, value=3457","layer":4},{"info":"number node, value=1059","layer":4},{"info":"compute binary expreesion, left_input=3457, right_input=1059, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-174","layer":2},{"info":"compute unary expreesion, input=-174, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=1959","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1959, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((⇐≴∭⊉13135)⩁⩘(≴∭⊉14310⫸⇳≴∭⊉6326)∀⋜↑)↙(≪(⊲⪭(≴∭⊉13036≀⩗∶≴∭⊉3042)))=NaN","reverse_text":"NaN=((⇐≴∭⊉13135)⩁⩘(≴∭⊉14310⫸⇳≴∭⊉6326)∀⋜↑)↙(≪(⊲⪭(≴∭⊉13036≀⩗∶≴∭⊉3042)))","cot":[{"info":"⇐≴∭⊉13135=≴∭⊉33033","layer":3},{"info":"≴∭⊉14310⫸⇳≴∭⊉6326=≴∭⊉0","layer":3},{"info":"≴∭⊉33033⩁⩘≴∭⊉0=NaN","layer":2},{"info":"NaN∀⋜↑=NaN","layer":1},{"info":"≴∭⊉13036≀⩗∶≴∭⊉3042=≴∭⊉0","layer":3},{"info":"⊲⪭≴∭⊉0=≴∭⊉-336","layer":2},{"info":"≪≴∭⊉-336=≴∭⊉5466","layer":1},{"info":"NaN↙≴∭⊉5466=NaN","layer":0}]}
+{"id":247,"expression_no_base_symbol":"⪫⨮⊛(((⫛⫱⨽$4726$)⫰⋱$1697$⩇∃⫛$3938$)⩤)","expression":"⪫⨮⊛(((⫛⫱⨽≴∭⊉16531)⫰⋱≴∭⊉4643⩇∃⫛≴∭⊉14324)⩤)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1444,"operation_count":5,"complexity_ratio":288.8,"tree":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":4726,"base":7}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":1697,"base":7},"right_expr":{"type":"numeric_atoms","value":3938,"base":7}}}}},"used_operators":["w5FWba1tyO","Z2TMIBDE3Q","6o9Blt3TJ6","DlLNRPXxWL","1aApVXNlOP"],"dependent_operators":["s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","rGHVDoGpnC","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG"],"result":"≴∭⊉-45","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4726","layer":4},{"info":"compute unary expreesion, input=4726, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=1697","layer":4},{"info":"number node, value=3938","layer":4},{"info":"compute binary expreesion, left_input=1697, right_input=3938, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=2714","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2714, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=33","layer":2},{"info":"compute unary expreesion, input=33, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-33","layer":1},{"info":"compute unary expreesion, input=-33, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=-33","layer":0}],"base":7,"result_base":7,"text":"⪫⨮⊛(((⫛⫱⨽≴∭⊉16531)⫰⋱≴∭⊉4643⩇∃⫛≴∭⊉14324)⩤)=≴∭⊉-45","reverse_text":"≴∭⊉-45=⪫⨮⊛(((⫛⫱⨽≴∭⊉16531)⫰⋱≴∭⊉4643⩇∃⫛≴∭⊉14324)⩤)","cot":[{"info":"⫛⫱⨽≴∭⊉16531=≴∭⊉0","layer":3},{"info":"≴∭⊉4643⩇∃⫛≴∭⊉14324=≴∭⊉10625","layer":3},{"info":"≴∭⊉0⫰⋱≴∭⊉10625=≴∭⊉45","layer":2},{"info":"≴∭⊉45⩤=≴∭⊉-45","layer":1},{"info":"⪫⨮⊛≴∭⊉-45=≴∭⊉-45","layer":0}]}
+{"id":248,"expression_no_base_symbol":"⇨(($3873$⫚↹⊑$2169$)⩺⪪(⋣$3163$)∖($1469$⨲∙)⊮⊟↴($1230$*$3808$))","expression":"⇨((≴∭⊉14202⫚↹⊑≴∭⊉6216)⩺⪪(⋣≴∭⊉12136)∖(≴∭⊉4166⨲∙)⊮⊟↴(≴∭⊉3405*≴∭⊉14050))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2197,"operation_count":8,"complexity_ratio":274.625,"tree":{"type":"unary","operator":"⇨","unary_expr":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":3873,"base":7},"right_expr":{"type":"numeric_atoms","value":2169,"base":7}},"right_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"numeric_atoms","value":3163,"base":7}}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"unary","operator":"⨲∙","unary_expr":{"type":"numeric_atoms","value":1469,"base":7}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1230,"base":7},"right_expr":{"type":"numeric_atoms","value":3808,"base":7}}}}},"used_operators":["G9tJMlZ94a","tXD093vOjl","uvdQJvN4PV","dfKe02y8D2","zQWRhDnn8F","QDVgd2eftb","cRahaglYVE","9HNa5Wba9A"],"dependent_operators":["k8jYdgA6NY","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","XGcMNugi78","zR4jO40bMj","mp7IySMOzn","bJkvcejdHO","grXIztHqDa","dWAJyo7jo9","DmTXOeWf9t","g55IO6H4Gj","D4vGDi5EA2","A8NUZmVepG","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3873","layer":4},{"info":"number node, value=2169","layer":4},{"info":"compute binary expreesion, left_input=3873, right_input=2169, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"number node, value=3163","layer":4},{"info":"compute unary expreesion, input=3163, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-929827","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=-929827, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=1914","layer":2},{"info":"number node, value=1469","layer":4},{"info":"compute unary expreesion, input=1469, op_id = cRahaglYVE, unary_op_definition = 'a⨲∙ = { ((a⪢(a⇷a))⪶≀⋏(↥(30⫞⩸⩒376))) , if (a≦≮≮)>473 ; (121⨸⪁((a⊲⩕⊾a)≎⊠⪸(28⪃↞⩐))) , else }', output=18039074","layer":3},{"info":"number node, value=1230","layer":4},{"info":"number node, value=3808","layer":4},{"info":"compute binary expreesion, left_input=1230, right_input=3808, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=4683840","layer":3},{"info":"compute binary expreesion, left_input=18039074, right_input=4683840, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=1914, right_input=0, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"⇨((≴∭⊉14202⫚↹⊑≴∭⊉6216)⩺⪪(⋣≴∭⊉12136)∖(≴∭⊉4166⨲∙)⊮⊟↴(≴∭⊉3405*≴∭⊉14050))=NaN","reverse_text":"NaN=⇨((≴∭⊉14202⫚↹⊑≴∭⊉6216)⩺⪪(⋣≴∭⊉12136)∖(≴∭⊉4166⨲∙)⊮⊟↴(≴∭⊉3405*≴∭⊉14050))","cot":[{"info":"≴∭⊉14202⫚↹⊑≴∭⊉6216=≴∭⊉-1206","layer":3},{"info":"⋣≴∭⊉12136=≴∭⊉-10621603","layer":3},{"info":"≴∭⊉-1206⩺⪪≴∭⊉-10621603=≴∭⊉5403","layer":2},{"info":"≴∭⊉4166⨲∙=≴∭⊉306221024","layer":3},{"info":"≴∭⊉3405*≴∭⊉14050=≴∭⊉54545340","layer":3},{"info":"≴∭⊉306221024⊮⊟↴≴∭⊉54545340=≴∭⊉0","layer":2},{"info":"≴∭⊉5403∖≴∭⊉0=≴∭⊉0","layer":1},{"info":"⇨≴∭⊉0=NaN","layer":0}]}
+{"id":249,"expression_no_base_symbol":"($2594$⨫⇇↔$5755$≬⇓$1390$⊕∕$1532$∕⩚$1691$⪔⊥$4893$⪪$4135$⫁$1359$)⊬⨰((∑⇻≧$3833$∘$3499$)⫉⨲⊜(∑⇻≧$4242$)⨑⩅≇$4313$≌$1987$)","expression":"(≴∭⊉10364⨫⇇↔≴∭⊉22531≬⇓≴∭⊉4024⊕∕≴∭⊉4316∕⩚≴∭⊉4634⪔⊥≴∭⊉20160⪪≴∭⊉15025⫁≴∭⊉3651)⊬⨰((∑⇻≧≴∭⊉14114∘≴∭⊉13126)⫉⨲⊜(∑⇻≧≴∭⊉15240)⨑⩅≇≴∭⊉15401≌≴∭⊉5536)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":7060,"operation_count":14,"complexity_ratio":504.2857142857143,"tree":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":2594,"base":7},"right_expr":{"type":"numeric_atoms","value":5755,"base":7}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":1390,"base":7},"right_expr":{"type":"numeric_atoms","value":1532,"base":7}}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":1691,"base":7},"right_expr":{"type":"numeric_atoms","value":4893,"base":7}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":4135,"base":7},"right_expr":{"type":"numeric_atoms","value":1359,"base":7}}}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":3833,"base":7},"right_expr":{"type":"numeric_atoms","value":3499,"base":7}}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"numeric_atoms","value":4242,"base":7}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":4313,"base":7},"right_expr":{"type":"numeric_atoms","value":1987,"base":7}}}}},"used_operators":["s3Fd5m9Dh2","z9ffQ9n5Zr","jWTQ2TZYIH","LXhwmt4mBO","9cloC0Ngie","xD69zh8xqp","HJ9erzHUuu","0ajvFaJAv0","WhqkvtTD3t","l1M9WJ3V7u","Z5m6OM72h2","h92wMvzauj","lyWz822IDG"],"dependent_operators":["23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","FU0Cs4j7VP","JclMnS0uGI","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","cHh1gJQ2o6","AHs5Up7iyr","eewbuw0ToL","zVYPLywUTj","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","eH2TOUuTDT","rysDP5nf3Z","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU"],"result":"≴∭⊉505112112","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2594","layer":4},{"info":"number node, value=5755","layer":4},{"info":"compute binary expreesion, left_input=2594, right_input=5755, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"number node, value=1390","layer":4},{"info":"number node, value=1532","layer":4},{"info":"compute binary expreesion, left_input=1390, right_input=1532, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=1390","layer":3},{"info":"compute binary expreesion, left_input=-527, right_input=1390, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=2838844","layer":2},{"info":"number node, value=1691","layer":4},{"info":"number node, value=4893","layer":4},{"info":"compute binary expreesion, left_input=1691, right_input=4893, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=-3221","layer":3},{"info":"number node, value=4135","layer":4},{"info":"number node, value=1359","layer":4},{"info":"compute binary expreesion, left_input=4135, right_input=1359, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-3221, right_input=160, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-6206","layer":2},{"info":"compute binary expreesion, left_input=2838844, right_input=-6206, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":1},{"info":"number node, value=3833","layer":4},{"info":"number node, value=3499","layer":4},{"info":"compute binary expreesion, left_input=3833, right_input=3499, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=7666","layer":3},{"info":"compute unary expreesion, input=7666, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":2},{"info":"number node, value=4242","layer":4},{"info":"compute unary expreesion, input=4242, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":3},{"info":"number node, value=4313","layer":4},{"info":"number node, value=1987","layer":4},{"info":"compute binary expreesion, left_input=4313, right_input=1987, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-852, right_input=nan, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=935","layer":2},{"info":"compute binary expreesion, left_input=-852, right_input=935, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=7358294","layer":1},{"info":"compute binary expreesion, left_input=-487, right_input=7358294, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=29432202","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉10364⨫⇇↔≴∭⊉22531≬⇓≴∭⊉4024⊕∕≴∭⊉4316∕⩚≴∭⊉4634⪔⊥≴∭⊉20160⪪≴∭⊉15025⫁≴∭⊉3651)⊬⨰((∑⇻≧≴∭⊉14114∘≴∭⊉13126)⫉⨲⊜(∑⇻≧≴∭⊉15240)⨑⩅≇≴∭⊉15401≌≴∭⊉5536)=≴∭⊉505112112","reverse_text":"≴∭⊉505112112=(≴∭⊉10364⨫⇇↔≴∭⊉22531≬⇓≴∭⊉4024⊕∕≴∭⊉4316∕⩚≴∭⊉4634⪔⊥≴∭⊉20160⪪≴∭⊉15025⫁≴∭⊉3651)⊬⨰((∑⇻≧≴∭⊉14114∘≴∭⊉13126)⫉⨲⊜(∑⇻≧≴∭⊉15240)⨑⩅≇≴∭⊉15401≌≴∭⊉5536)","cot":[{"info":"≴∭⊉10364⨫⇇↔≴∭⊉22531=≴∭⊉-1352","layer":3},{"info":"≴∭⊉4024⊕∕≴∭⊉4316=≴∭⊉4024","layer":3},{"info":"≴∭⊉-1352≬⇓≴∭⊉4024=≴∭⊉33062341","layer":2},{"info":"≴∭⊉4634⪔⊥≴∭⊉20160=≴∭⊉-12251","layer":3},{"info":"≴∭⊉15025⫁≴∭⊉3651=≴∭⊉316","layer":3},{"info":"≴∭⊉-12251⪪≴∭⊉316=≴∭⊉-24044","layer":2},{"info":"≴∭⊉33062341∕⩚≴∭⊉-24044=≴∭⊉-1264","layer":1},{"info":"≴∭⊉14114∘≴∭⊉13126=≴∭⊉31231","layer":3},{"info":"∑⇻≧≴∭⊉31231=≴∭⊉-2325","layer":2},{"info":"∑⇻≧≴∭⊉15240=≴∭⊉-2325","layer":3},{"info":"≴∭⊉15401≌≴∭⊉5536=NaN","layer":3},{"info":"≴∭⊉-2325⨑⩅≇NaN=≴∭⊉2504","layer":2},{"info":"≴∭⊉-2325⫉⨲⊜≴∭⊉2504=≴∭⊉116354516","layer":1},{"info":"≴∭⊉-1264⊬⨰≴∭⊉116354516=≴∭⊉505112112","layer":0}]}
+{"id":250,"expression_no_base_symbol":"(($2016$⩁⩘$1555$)⨂≜(↪⫪⫘$1795$)≌(($2621$⨟⋌⩍$3614$)⨽∌($2252$∠↢$6576$)))⨂≜(($5384$⨑⩅≇$4102$→⨶⪴(⊤⊝$1698$))⩁⩘($1569$⨎$3699$)⩼⇪↪($4472$≭$4967$))","expression":"((≴∭⊉5610⩁⩘≴∭⊉4351)⨂≜(↪⫪⫘≴∭⊉5143)≌((≴∭⊉10433⨟⋌⩍≴∭⊉13352)⨽∌(≴∭⊉6365∠↢≴∭⊉25113)))⨂≜((≴∭⊉21461⨑⩅≇≴∭⊉14650→⨶⪴(⊤⊝≴∭⊉4644))⩁⩘(≴∭⊉4401⨎≴∭⊉13533)⩼⇪↪(≴∭⊉16016≭≴∭⊉20324))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":23167,"operation_count":15,"complexity_ratio":1544.4666666666667,"tree":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":2016,"base":7},"right_expr":{"type":"numeric_atoms","value":1555,"base":7}},"right_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"numeric_atoms","value":1795,"base":7}}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2621,"base":7},"right_expr":{"type":"numeric_atoms","value":3614,"base":7}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":2252,"base":7},"right_expr":{"type":"numeric_atoms","value":6576,"base":7}}}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":5384,"base":7},"right_expr":{"type":"numeric_atoms","value":4102,"base":7}},"right_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"numeric_atoms","value":1698,"base":7}}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1569,"base":7},"right_expr":{"type":"numeric_atoms","value":3699,"base":7}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":4472,"base":7},"right_expr":{"type":"numeric_atoms","value":4967,"base":7}}}}},"used_operators":["k1SHOSEABc","lyWz822IDG","gub5Cegaqo","9dWsAM3GFt","9samAPKr6k","rGHVDoGpnC","KbjG8mgYpV","bF6eod5Gvf","h92wMvzauj","rXAclfmB4M","ocnLzx9CaJ","rJVOvQCfKK","rxpJgHHUmx"],"dependent_operators":["9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","DpFCA1CohY","IWmyXbctLI","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","Tcnh7f0tEr","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","8w2t5hMYqp","9FxExcQeMw","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","sdazOOVcIp","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2016","layer":4},{"info":"number node, value=1555","layer":4},{"info":"compute binary expreesion, left_input=2016, right_input=1555, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=7168","layer":3},{"info":"number node, value=1795","layer":4},{"info":"compute unary expreesion, input=1795, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":3},{"info":"compute binary expreesion, left_input=7168, right_input=20, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"number node, value=2621","layer":4},{"info":"number node, value=3614","layer":4},{"info":"compute binary expreesion, left_input=2621, right_input=3614, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=2252","layer":4},{"info":"number node, value=6576","layer":4},{"info":"compute binary expreesion, left_input=2252, right_input=6576, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-99990","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-99990, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=9080","layer":1},{"info":"number node, value=5384","layer":4},{"info":"number node, value=4102","layer":4},{"info":"compute binary expreesion, left_input=5384, right_input=4102, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-16152","layer":3},{"info":"number node, value=1698","layer":4},{"info":"compute unary expreesion, input=1698, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=2098","layer":3},{"info":"compute binary expreesion, left_input=-16152, right_input=2098, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-6294","layer":2},{"info":"number node, value=1569","layer":4},{"info":"number node, value=3699","layer":4},{"info":"compute binary expreesion, left_input=1569, right_input=3699, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3699","layer":3},{"info":"number node, value=4472","layer":4},{"info":"number node, value=4967","layer":4},{"info":"compute binary expreesion, left_input=4472, right_input=4967, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3699, right_input=nan, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-6294, right_input=nan, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=9080, right_input=nan, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉5610⩁⩘≴∭⊉4351)⨂≜(↪⫪⫘≴∭⊉5143)≌((≴∭⊉10433⨟⋌⩍≴∭⊉13352)⨽∌(≴∭⊉6365∠↢≴∭⊉25113)))⨂≜((≴∭⊉21461⨑⩅≇≴∭⊉14650→⨶⪴(⊤⊝≴∭⊉4644))⩁⩘(≴∭⊉4401⨎≴∭⊉13533)⩼⇪↪(≴∭⊉16016≭≴∭⊉20324))=NaN","reverse_text":"NaN=((≴∭⊉5610⩁⩘≴∭⊉4351)⨂≜(↪⫪⫘≴∭⊉5143)≌((≴∭⊉10433⨟⋌⩍≴∭⊉13352)⨽∌(≴∭⊉6365∠↢≴∭⊉25113)))⨂≜((≴∭⊉21461⨑⩅≇≴∭⊉14650→⨶⪴(⊤⊝≴∭⊉4644))⩁⩘(≴∭⊉4401⨎≴∭⊉13533)⩼⇪↪(≴∭⊉16016≭≴∭⊉20324))","cot":[{"info":"≴∭⊉5610⩁⩘≴∭⊉4351=≴∭⊉26620","layer":3},{"info":"↪⫪⫘≴∭⊉5143=≴∭⊉26","layer":3},{"info":"≴∭⊉26620⨂≜≴∭⊉26=NaN","layer":2},{"info":"≴∭⊉10433⨟⋌⩍≴∭⊉13352=NaN","layer":3},{"info":"≴∭⊉6365∠↢≴∭⊉25113=≴∭⊉-564342","layer":3},{"info":"NaN⨽∌≴∭⊉-564342=≴∭⊉0","layer":2},{"info":"NaN≌≴∭⊉0=≴∭⊉35321","layer":1},{"info":"≴∭⊉21461⨑⩅≇≴∭⊉14650=≴∭⊉-65043","layer":3},{"info":"⊤⊝≴∭⊉4644=≴∭⊉6055","layer":3},{"info":"≴∭⊉-65043→⨶⪴≴∭⊉6055=≴∭⊉-24231","layer":2},{"info":"≴∭⊉4401⨎≴∭⊉13533=≴∭⊉13533","layer":3},{"info":"≴∭⊉16016≭≴∭⊉20324=NaN","layer":3},{"info":"≴∭⊉13533⩼⇪↪NaN=NaN","layer":2},{"info":"≴∭⊉-24231⩁⩘NaN=NaN","layer":1},{"info":"≴∭⊉35321⨂≜NaN=NaN","layer":0}]}
+{"id":251,"expression_no_base_symbol":"(($4074$⫸⊐$3405$)⨐⩸⫘$8143$↬$3500$⊠≄⫣)⪡(($2117$↸$1390$)⪒⊣⊆$1000$⨑⩅≇$2041$∝($1419$⇆⨓≜)≝⊿(⨈⪑$1621$))","expression":"((≴∭⊉14610⫸⊐≴∭⊉12633)⨐⩸⫘≴∭⊉32512↬≴∭⊉13130⊠≄⫣)⪡((≴∭⊉6113↸≴∭⊉4024)⪒⊣⊆≴∭⊉2626⨑⩅≇≴∭⊉5644∝(≴∭⊉4065⇆⨓≜)≝⊿(⨈⪑≴∭⊉4504))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3784,"operation_count":12,"complexity_ratio":315.3333333333333,"tree":{"type":"binary","operator":"⪡","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":4074,"base":7},"right_expr":{"type":"numeric_atoms","value":3405,"base":7}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":8143,"base":7},"right_expr":{"type":"numeric_atoms","value":3500,"base":7}}}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":2117,"base":7},"right_expr":{"type":"numeric_atoms","value":1390,"base":7}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":1000,"base":7},"right_expr":{"type":"numeric_atoms","value":2041,"base":7}}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"unary","operator":"⇆⨓≜","unary_expr":{"type":"numeric_atoms","value":1419,"base":7}},"right_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"numeric_atoms","value":1621,"base":7}}}}},"used_operators":["oraRL2iQuh","DIvbN7qnHd","fu6greOZ01","mqXw5SEYmG","B5M0gjZbta","cTDWOvIxvz","eRqsBgTDFp","1eCjFl0mb9","h92wMvzauj","OKKcZfAt5B","KvvgdUaMHJ","mp94q5OcYM"],"dependent_operators":["2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rGHVDoGpnC","7j4O788W3g","W4YGzv6Whe","COABgblf1C","sdazOOVcIp","W4YGzv6Whe","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","12rbrZMWeM","Uaa54Peajs","KYD54nUTWz","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4074","layer":4},{"info":"number node, value=3405","layer":4},{"info":"compute binary expreesion, left_input=4074, right_input=3405, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=13495","layer":3},{"info":"number node, value=8143","layer":4},{"info":"number node, value=3500","layer":4},{"info":"compute binary expreesion, left_input=8143, right_input=3500, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=13495, right_input=nan, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=nan","layer":1},{"info":"number node, value=2117","layer":4},{"info":"number node, value=1390","layer":4},{"info":"compute binary expreesion, left_input=2117, right_input=1390, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=2117","layer":3},{"info":"number node, value=1000","layer":4},{"info":"number node, value=2041","layer":4},{"info":"compute binary expreesion, left_input=1000, right_input=2041, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-3000","layer":3},{"info":"compute binary expreesion, left_input=2117, right_input=-3000, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=4234","layer":2},{"info":"number node, value=1419","layer":4},{"info":"compute unary expreesion, input=1419, op_id = KvvgdUaMHJ, unary_op_definition = 'a⇆⨓≜ = { (∂(a⫥∨⫟a)) }', output=nan","layer":3},{"info":"number node, value=1621","layer":4},{"info":"compute unary expreesion, input=1621, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=868, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=4234, right_input=nan, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉14610⫸⊐≴∭⊉12633)⨐⩸⫘≴∭⊉32512↬≴∭⊉13130⊠≄⫣)⪡((≴∭⊉6113↸≴∭⊉4024)⪒⊣⊆≴∭⊉2626⨑⩅≇≴∭⊉5644∝(≴∭⊉4065⇆⨓≜)≝⊿(⨈⪑≴∭⊉4504))=NaN","reverse_text":"NaN=((≴∭⊉14610⫸⊐≴∭⊉12633)⨐⩸⫘≴∭⊉32512↬≴∭⊉13130⊠≄⫣)⪡((≴∭⊉6113↸≴∭⊉4024)⪒⊣⊆≴∭⊉2626⨑⩅≇≴∭⊉5644∝(≴∭⊉4065⇆⨓≜)≝⊿(⨈⪑≴∭⊉4504))","cot":[{"info":"≴∭⊉14610⫸⊐≴∭⊉12633=≴∭⊉54226","layer":3},{"info":"≴∭⊉32512↬≴∭⊉13130=NaN","layer":3},{"info":"≴∭⊉54226⨐⩸⫘NaN=NaN","layer":2},{"info":"NaN⊠≄⫣=NaN","layer":1},{"info":"≴∭⊉6113↸≴∭⊉4024=≴∭⊉6113","layer":3},{"info":"≴∭⊉2626⨑⩅≇≴∭⊉5644=≴∭⊉-11514","layer":3},{"info":"≴∭⊉6113⪒⊣⊆≴∭⊉-11514=≴∭⊉15226","layer":2},{"info":"≴∭⊉4065⇆⨓≜=NaN","layer":3},{"info":"⨈⪑≴∭⊉4504=≴∭⊉2350","layer":3},{"info":"NaN≝⊿≴∭⊉2350=NaN","layer":2},{"info":"≴∭⊉15226∝NaN=NaN","layer":1},{"info":"NaN⪡NaN=NaN","layer":0}]}
+{"id":252,"expression_no_base_symbol":"(⨮↦↱($4526$≨$4275$)↞⋁($2317$⨥⫆$2905$))⪛⫼($5669$∇⊂⋱$3568$⇴$3838$∥⊢⊲$1825$)⫞⩸⩒($1379$⇍⊗$4366$⨓($1197$⪁$3953$))","expression":"(⨮↦↱(≴∭⊉16124≨≴∭⊉15315)↞⋁(≴∭⊉6520⨥⫆≴∭⊉11320))⪛⫼(≴∭⊉22346∇⊂⋱≴∭⊉13255⇴≴∭⊉14122∥⊢⊲≴∭⊉5215)⫞⩸⩒(≴∭⊉4010⇍⊗≴∭⊉15505⨓(≴∭⊉3330⪁≴∭⊉14345))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":314926264,"operation_count":12,"complexity_ratio":26243855.333333332,"tree":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":4526,"base":7},"right_expr":{"type":"numeric_atoms","value":4275,"base":7}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":2317,"base":7},"right_expr":{"type":"numeric_atoms","value":2905,"base":7}}}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":5669,"base":7},"right_expr":{"type":"numeric_atoms","value":3568,"base":7}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":3838,"base":7},"right_expr":{"type":"numeric_atoms","value":1825,"base":7}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":1379,"base":7},"right_expr":{"type":"numeric_atoms","value":4366,"base":7}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":1197,"base":7},"right_expr":{"type":"numeric_atoms","value":3953,"base":7}}}}},"used_operators":["hyuBjUqXlG","sYcpBQ0cFf","RqrPlJkxDo","0KMCeP1Jsh","yXekIHxTD4","XGcMNugi78","4JB6nKBMSY","nhYeJWJD5X","v1UQAVDJRr","3ViojmjbAp","5uvYHDjeKN","I7sXao9hZE"],"dependent_operators":["HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","sdazOOVcIp","NTOWxs364D","COABgblf1C","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","EBcxylXtPf","rGHVDoGpnC","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4526","layer":4},{"info":"number node, value=4275","layer":4},{"info":"compute binary expreesion, left_input=4526, right_input=4275, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-42784","layer":3},{"info":"number node, value=2317","layer":4},{"info":"number node, value=2905","layer":4},{"info":"compute binary expreesion, left_input=2317, right_input=2905, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=5686","layer":3},{"info":"compute binary expreesion, left_input=-42784, right_input=5686, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=nan","layer":1},{"info":"number node, value=5669","layer":4},{"info":"number node, value=3568","layer":4},{"info":"compute binary expreesion, left_input=5669, right_input=3568, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=10792","layer":3},{"info":"number node, value=3838","layer":4},{"info":"number node, value=1825","layer":4},{"info":"compute binary expreesion, left_input=3838, right_input=1825, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=10792, right_input=nan, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=nan","layer":2},{"info":"number node, value=1379","layer":4},{"info":"number node, value=4366","layer":4},{"info":"compute binary expreesion, left_input=1379, right_input=4366, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"number node, value=1197","layer":4},{"info":"number node, value=3953","layer":4},{"info":"compute binary expreesion, left_input=1197, right_input=3953, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-244, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(⨮↦↱(≴∭⊉16124≨≴∭⊉15315)↞⋁(≴∭⊉6520⨥⫆≴∭⊉11320))⪛⫼(≴∭⊉22346∇⊂⋱≴∭⊉13255⇴≴∭⊉14122∥⊢⊲≴∭⊉5215)⫞⩸⩒(≴∭⊉4010⇍⊗≴∭⊉15505⨓(≴∭⊉3330⪁≴∭⊉14345))=NaN","reverse_text":"NaN=(⨮↦↱(≴∭⊉16124≨≴∭⊉15315)↞⋁(≴∭⊉6520⨥⫆≴∭⊉11320))⪛⫼(≴∭⊉22346∇⊂⋱≴∭⊉13255⇴≴∭⊉14122∥⊢⊲≴∭⊉5215)⫞⩸⩒(≴∭⊉4010⇍⊗≴∭⊉15505⨓(≴∭⊉3330⪁≴∭⊉14345))","cot":[{"info":"≴∭⊉16124≨≴∭⊉15315=≴∭⊉-235510","layer":3},{"info":"≴∭⊉6520⨥⫆≴∭⊉11320=≴∭⊉22402","layer":3},{"info":"≴∭⊉-235510↞⋁≴∭⊉22402=NaN","layer":2},{"info":"⨮↦↱NaN=NaN","layer":1},{"info":"≴∭⊉22346∇⊂⋱≴∭⊉13255=≴∭⊉43315","layer":3},{"info":"≴∭⊉14122∥⊢⊲≴∭⊉5215=NaN","layer":3},{"info":"≴∭⊉43315⇴NaN=NaN","layer":2},{"info":"≴∭⊉4010⇍⊗≴∭⊉15505=≴∭⊉-466","layer":3},{"info":"≴∭⊉3330⪁≴∭⊉14345=NaN","layer":3},{"info":"≴∭⊉-466⨓NaN=NaN","layer":2},{"info":"NaN⫞⩸⩒NaN=NaN","layer":1},{"info":"NaN⪛⫼NaN=NaN","layer":0}]}
+{"id":253,"expression_no_base_symbol":"(($6154$⋣⋖$1197$⩧⪆($1490$⫃⨇$2015$))⇚⪠)⫸⊐(($3057$⪕$4880$)⋹)⫸⇳(⊲⪭($1424$⨲∙))","expression":"((≴∭⊉23641⋣⋖≴∭⊉3330⩧⪆(≴∭⊉4226⫃⨇≴∭⊉5606))⇚⪠)⫸⊐((≴∭⊉11625⪕≴∭⊉20141)⋹)⫸⇳(⊲⪭(≴∭⊉4103⨲∙))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":8691,"operation_count":10,"complexity_ratio":869.1,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⇚⪠","unary_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":6154,"base":7},"right_expr":{"type":"numeric_atoms","value":1197,"base":7}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":1490,"base":7},"right_expr":{"type":"numeric_atoms","value":2015,"base":7}}}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"unary","operator":"⋹","unary_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":3057,"base":7},"right_expr":{"type":"numeric_atoms","value":4880,"base":7}}},"right_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"unary","operator":"⨲∙","unary_expr":{"type":"numeric_atoms","value":1424,"base":7}}}}},"used_operators":["mqXw5SEYmG","Loh9y4A90B","Ikt5ks8PT7","J0M6qkBnIM","09Ly4LVMIf","gx7XJ7hdpj","opAxDRczMr","umQnsF7QlU","k7HXdKtiEU","cRahaglYVE"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","Z5m6OM72h2","9HNa5Wba9A","ztP7wcbY7m","eewbuw0ToL","t8gj7n24qd","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","13rbtpv6ld","mp7IySMOzn","z63VuFQld9","aN9a90urxU","27wFxooxGf","SVb2v531z1","eewbuw0ToL","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","i8ToyICDmI","xUOZtlo3hN","XGcMNugi78","zR4jO40bMj","mp7IySMOzn","bJkvcejdHO","grXIztHqDa","dWAJyo7jo9","DmTXOeWf9t","g55IO6H4Gj","D4vGDi5EA2","A8NUZmVepG"],"result":"≴∭⊉-236","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6154","layer":4},{"info":"number node, value=1197","layer":4},{"info":"compute binary expreesion, left_input=6154, right_input=1197, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=6154","layer":3},{"info":"number node, value=1490","layer":4},{"info":"number node, value=2015","layer":4},{"info":"compute binary expreesion, left_input=1490, right_input=2015, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-8092","layer":3},{"info":"compute binary expreesion, left_input=6154, right_input=-8092, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=8092","layer":2},{"info":"compute unary expreesion, input=8092, op_id = Loh9y4A90B, unary_op_definition = 'a⇚⪠ = { ((a∘(a∈))*a) }', output=130960928","layer":1},{"info":"number node, value=3057","layer":4},{"info":"number node, value=4880","layer":4},{"info":"compute binary expreesion, left_input=3057, right_input=4880, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=2135","layer":3},{"info":"compute unary expreesion, input=2135, op_id = opAxDRczMr, unary_op_definition = 'a⋹ = { ((⨴⫝a)⇷(a↤⩊a)) , if (a≃⋄)<20 or (⊢≑≆a)<=20 ; ((a⨰a)∧) , else }', output=-20","layer":2},{"info":"number node, value=1424","layer":4},{"info":"compute unary expreesion, input=1424, op_id = cRahaglYVE, unary_op_definition = 'a⨲∙ = { ((a⪢(a⇷a))⪶≀⋏(↥(30⫞⩸⩒376))) , if (a≦≮≮)>473 ; (121⨸⪁((a⊲⩕⊾a)≎⊠⪸(28⪃↞⩐))) , else }', output=17433014","layer":3},{"info":"compute unary expreesion, input=17433014, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-17433188","layer":2},{"info":"compute binary expreesion, left_input=-20, right_input=-17433188, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=130960928, right_input=0, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=-125","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉23641⋣⋖≴∭⊉3330⩧⪆(≴∭⊉4226⫃⨇≴∭⊉5606))⇚⪠)⫸⊐((≴∭⊉11625⪕≴∭⊉20141)⋹)⫸⇳(⊲⪭(≴∭⊉4103⨲∙))=≴∭⊉-236","reverse_text":"≴∭⊉-236=((≴∭⊉23641⋣⋖≴∭⊉3330⩧⪆(≴∭⊉4226⫃⨇≴∭⊉5606))⇚⪠)⫸⊐((≴∭⊉11625⪕≴∭⊉20141)⋹)⫸⇳(⊲⪭(≴∭⊉4103⨲∙))","cot":[{"info":"≴∭⊉23641⋣⋖≴∭⊉3330=≴∭⊉23641","layer":3},{"info":"≴∭⊉4226⫃⨇≴∭⊉5606=≴∭⊉-32410","layer":3},{"info":"≴∭⊉23641⩧⪆≴∭⊉-32410=≴∭⊉32410","layer":2},{"info":"≴∭⊉32410⇚⪠=≴∭⊉3150102200","layer":1},{"info":"≴∭⊉11625⪕≴∭⊉20141=≴∭⊉6140","layer":3},{"info":"≴∭⊉6140⋹=≴∭⊉-26","layer":2},{"info":"≴∭⊉4103⨲∙=≴∭⊉301115054","layer":3},{"info":"⊲⪭≴∭⊉301115054=≴∭⊉-301115423","layer":2},{"info":"≴∭⊉-26⫸⇳≴∭⊉-301115423=≴∭⊉0","layer":1},{"info":"≴∭⊉3150102200⫸⊐≴∭⊉0=≴∭⊉-236","layer":0}]}
+{"id":254,"expression_no_base_symbol":"($2954$≨$1562$⨫⇇↔($4317$⫚↹⊑$1346$)∟)⪨⊡((↨⩢⫨(⨣⨃⇪$1001$))⨐⩸⫘($8415$⋳⪒$6489$)⋓$4244$≁↽≥$1555$)","expression":"(≴∭⊉11420≨≴∭⊉4361⨫⇇↔(≴∭⊉15405⫚↹⊑≴∭⊉3632)∟)⪨⊡((↨⩢⫨(⨣⨃⇪≴∭⊉2630))⨐⩸⫘(≴∭⊉33351⋳⪒≴∭⊉24630)⋓≴∭⊉15242≁↽≥≴∭⊉4351)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1860,"operation_count":11,"complexity_ratio":169.0909090909091,"tree":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"unary","operator":"∟","unary_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":2954,"base":7},"right_expr":{"type":"numeric_atoms","value":1562,"base":7}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":4317,"base":7},"right_expr":{"type":"numeric_atoms","value":1346,"base":7}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"numeric_atoms","value":1001,"base":7}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":8415,"base":7},"right_expr":{"type":"numeric_atoms","value":6489,"base":7}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":4244,"base":7},"right_expr":{"type":"numeric_atoms","value":1555,"base":7}}}}},"used_operators":["kuIXHzHcAH","hTbEZDJLEm","LXhwmt4mBO","0KMCeP1Jsh","dfKe02y8D2","fu6greOZ01","Z5CJsN7DuW","AcOhelriW5","T2fj7uvVaJ","12rbrZMWeM","ncHt1X6cMc"],"dependent_operators":["JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","KPf6cnQVty","zVYPLywUTj","AFVx7xoS7T","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","3ViojmjbAp","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","oWn0xqSxBt","3Oe9XWJUTD"],"result":"≴∭⊉2205","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2954","layer":4},{"info":"number node, value=1562","layer":4},{"info":"compute binary expreesion, left_input=2954, right_input=1562, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-27064","layer":3},{"info":"number node, value=4317","layer":4},{"info":"number node, value=1346","layer":4},{"info":"compute binary expreesion, left_input=4317, right_input=1346, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=-27064, right_input=-447, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":2},{"info":"compute unary expreesion, input=-527, op_id = hTbEZDJLEm, unary_op_definition = 'a∟ = { ((58∺≝⩲a)⇌⫙⪟(a⊪)) }', output=113","layer":1},{"info":"number node, value=1001","layer":4},{"info":"compute unary expreesion, input=1001, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":3},{"info":"compute unary expreesion, input=1405, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":2},{"info":"number node, value=8415","layer":4},{"info":"number node, value=6489","layer":4},{"info":"compute binary expreesion, left_input=8415, right_input=6489, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=10054","layer":3},{"info":"number node, value=4244","layer":4},{"info":"number node, value=1555","layer":4},{"info":"compute binary expreesion, left_input=4244, right_input=1555, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙���-b) , else }', output=61906","layer":3},{"info":"compute binary expreesion, left_input=10054, right_input=61906, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=0","layer":1},{"info":"compute binary expreesion, left_input=113, right_input=0, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=789","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉11420≨≴∭⊉4361⨫⇇↔(≴∭⊉15405⫚↹⊑≴∭⊉3632)∟)⪨⊡((↨⩢⫨(⨣⨃⇪≴∭⊉2630))⨐⩸⫘(≴∭⊉33351⋳⪒≴∭⊉24630)⋓≴∭⊉15242≁↽≥≴∭⊉4351)=≴∭⊉2205","reverse_text":"≴∭⊉2205=(≴∭⊉11420≨≴∭⊉4361⨫⇇↔(≴∭⊉15405⫚↹⊑≴∭⊉3632)∟)⪨⊡((↨⩢⫨(⨣⨃⇪≴∭⊉2630))⨐⩸⫘(≴∭⊉33351⋳⪒≴∭⊉24630)⋓≴∭⊉15242≁↽≥≴∭⊉4351)","cot":[{"info":"≴∭⊉11420≨≴∭⊉4361=≴∭⊉-141622","layer":3},{"info":"≴∭⊉15405⫚↹⊑≴∭⊉3632=≴∭⊉-1206","layer":3},{"info":"≴∭⊉-141622⨫⇇↔≴∭⊉-1206=≴∭⊉-1352","layer":2},{"info":"≴∭⊉-1352∟=≴∭⊉221","layer":1},{"info":"⨣⨃⇪≴∭⊉2630=≴∭⊉4045","layer":3},{"info":"↨⩢⫨≴∭⊉4045=≴∭⊉0","layer":2},{"info":"≴∭⊉33351⋳⪒≴∭⊉24630=≴∭⊉41212","layer":3},{"info":"≴∭⊉15242≁↽≥≴∭⊉4351=≴∭⊉345325","layer":3},{"info":"≴∭⊉41212⋓≴∭⊉345325=≴∭⊉0","layer":2},{"info":"≴∭⊉0⨐⩸⫘≴∭⊉0=≴∭⊉0","layer":1},{"info":"≴∭⊉221⪨⊡≴∭⊉0=≴∭⊉2205","layer":0}]}
+{"id":255,"expression_no_base_symbol":"(((⋗⩴⪓$2496$)⊨($1113$∝$1893$))↬($1344$⋛$2460$∠⫱$1173$⨚⇆$1184$))⩍⋽⫝̸(($7788$⪭≯$4175$)⩘$3592$⨿$8207$≄⊠(($1707$⨶)⨑≵⋬($2155$⇋≉)))","expression":"(((⋗⩴⪓≴∭⊉10164)⊨(≴∭⊉3150∝≴∭⊉5343))↬(≴∭⊉3630⋛≴∭⊉10113∠⫱≴∭⊉3264⨚⇆≴∭⊉3311))⩍⋽⫝̸((≴∭⊉31464⪭≯≴∭⊉15113)⩘≴∭⊉13321⨿≴∭⊉32633≄⊠((≴∭⊉4656⨶)⨑≵⋬(≴∭⊉6166⇋≉)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":11658,"operation_count":15,"complexity_ratio":777.2,"tree":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"numeric_atoms","value":2496,"base":7}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":1113,"base":7},"right_expr":{"type":"numeric_atoms","value":1893,"base":7}}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":1344,"base":7},"right_expr":{"type":"numeric_atoms","value":2460,"base":7}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":1173,"base":7},"right_expr":{"type":"numeric_atoms","value":1184,"base":7}}}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":7788,"base":7},"right_expr":{"type":"numeric_atoms","value":4175,"base":7}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":3592,"base":7},"right_expr":{"type":"numeric_atoms","value":8207,"base":7}}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"unary","operator":"⨶","unary_expr":{"type":"numeric_atoms","value":1707,"base":7}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":2155,"base":7}}}}},"used_operators":["BiWNJpBvwn","B5M0gjZbta","vg4gO5BX6G","nOKPl9n5zu","cTDWOvIxvz","QvoQhV0rrE","YbUVn0Rbpy","lwHaAYXP2r","vXNesLlMH1","cHh1gJQ2o6","XAx5wpdLa6","abYXlopdE0","XnXgA4xnOs","rFxw8gIMmB","XIabStNQrY"],"dependent_operators":["Ph9nP6C5qx","xUOZtlo3hN","rGHVDoGpnC","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","7j4O788W3g","W4YGzv6Whe","COABgblf1C","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","f6k1SAg4EE","Qy55tPpLXF","rysDP5nf3Z","t8gj7n24qd"],"result":"≴∭⊉1421","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2496","layer":4},{"info":"compute unary expreesion, input=2496, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=-1583","layer":3},{"info":"number node, value=1113","layer":4},{"info":"number node, value=1893","layer":4},{"info":"compute binary expreesion, left_input=1113, right_input=1893, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=1118","layer":3},{"info":"compute binary expreesion, left_input=-1583, right_input=1118, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=-174","layer":2},{"info":"number node, value=1344","layer":4},{"info":"number node, value=2460","layer":4},{"info":"compute binary expreesion, left_input=1344, right_input=2460, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-120096","layer":3},{"info":"number node, value=1173","layer":4},{"info":"number node, value=1184","layer":4},{"info":"compute binary expreesion, left_input=1173, right_input=1184, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-120096, right_input=nan, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-174, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":1},{"info":"number node, value=7788","layer":4},{"info":"number node, value=4175","layer":4},{"info":"compute binary expreesion, left_input=7788, right_input=4175, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"number node, value=3592","layer":4},{"info":"number node, value=8207","layer":4},{"info":"compute binary expreesion, left_input=3592, right_input=8207, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-319, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":2},{"info":"number node, value=1707","layer":4},{"info":"compute unary expreesion, input=1707, op_id = rFxw8gIMmB, unary_op_definition = 'a⨶ = { ((a⋥≓≎303)⪒(a⋥≓≎537)) }', output=1668","layer":3},{"info":"number node, value=2155","layer":4},{"info":"compute unary expreesion, input=2155, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=4212","layer":3},{"info":"compute binary expreesion, left_input=1668, right_input=4212, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-19765","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-19765, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1500, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=554","layer":0}],"base":7,"result_base":7,"text":"(((⋗⩴⪓≴∭⊉10164)⊨(≴∭⊉3150∝≴∭⊉5343))↬(≴∭⊉3630⋛≴∭⊉10113∠⫱≴∭⊉3264⨚⇆≴∭⊉3311))⩍⋽⫝̸((≴∭⊉31464⪭≯≴∭⊉15113)⩘≴∭⊉13321⨿≴∭⊉32633≄⊠((≴∭⊉4656⨶)⨑≵⋬(≴∭⊉6166⇋≉)))=≴∭⊉1421","reverse_text":"≴∭⊉1421=(((⋗⩴⪓≴∭⊉10164)⊨(≴∭⊉3150∝≴∭⊉5343))↬(≴∭⊉3630⋛≴∭⊉10113∠⫱≴∭⊉3264⨚⇆≴∭⊉3311))⩍⋽⫝̸((≴∭⊉31464⪭≯≴∭⊉15113)⩘≴∭⊉13321⨿≴∭⊉32633≄⊠((≴∭⊉4656⨶)⨑≵⋬(≴∭⊉6166⇋≉)))","cot":[{"info":"⋗⩴⪓≴∭⊉10164=≴∭⊉-4421","layer":3},{"info":"≴∭⊉3150∝≴∭⊉5343=≴∭⊉3155","layer":3},{"info":"≴∭⊉-4421⊨≴∭⊉3155=≴∭⊉-336","layer":2},{"info":"≴∭⊉3630⋛≴∭⊉10113=≴∭⊉-1010064","layer":3},{"info":"≴∭⊉3264⨚⇆≴∭⊉3311=NaN","layer":3},{"info":"≴∭⊉-1010064∠⫱NaN=NaN","layer":2},{"info":"≴∭⊉-336↬NaN=NaN","layer":1},{"info":"≴∭⊉31464⪭≯≴∭⊉15113=NaN","layer":3},{"info":"≴∭⊉13321⨿≴∭⊉32633=≴∭⊉-634","layer":3},{"info":"NaN⩘≴∭⊉-634=≴∭⊉316","layer":2},{"info":"≴∭⊉4656⨶=≴∭⊉4602","layer":3},{"info":"≴∭⊉6166⇋≉=≴∭⊉15165","layer":3},{"info":"≴∭⊉4602⨑≵⋬≴∭⊉15165=≴∭⊉-111424","layer":2},{"info":"≴∭⊉316≄⊠≴∭⊉-111424=≴∭⊉4242","layer":1},{"info":"NaN⩍⋽⫝̸≴∭⊉4242=≴∭⊉1421","layer":0}]}
+{"id":256,"expression_no_base_symbol":"≉(⊵⊁($1002$≎⊠⪸$1449$))⨭⪣(⩰$3386$⪇≇⋚$1972$)","expression":"≉(⊵⊁(≴∭⊉2631≎⊠⪸≴∭⊉4140))⨭⪣(⩰≴∭⊉12605⪇≇⋚≴∭⊉5515)","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":351,"operation_count":6,"complexity_ratio":58.5,"tree":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1002,"base":7},"right_expr":{"type":"numeric_atoms","value":1449,"base":7}}},"right_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":3386,"base":7},"right_expr":{"type":"numeric_atoms","value":1972,"base":7}}}}},"used_operators":["e1ybzncUwg","kn8WO9XteQ","AvED76WdY7","bJkvcejdHO","WkeUrDK8WX","3sJ7IOPOlU"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","uBihLCJcMX","k8jYdgA6NY","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN"],"result":"≴∭⊉16124046","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1002","layer":4},{"info":"number node, value=1449","layer":4},{"info":"compute binary expreesion, left_input=1002, right_input=1449, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=259045","layer":3},{"info":"compute unary expreesion, input=259045, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=1553200","layer":2},{"info":"number node, value=3386","layer":4},{"info":"number node, value=1972","layer":4},{"info":"compute binary expreesion, left_input=3386, right_input=1972, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-1000","layer":2},{"info":"compute binary expreesion, left_input=1553200, right_input=-1000, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=1551921","layer":1},{"info":"compute unary expreesion, input=1551921, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1552452","layer":0}],"base":7,"result_base":7,"text":"≉(⊵⊁(≴∭⊉2631≎⊠⪸≴∭⊉4140))⨭⪣(⩰≴∭⊉12605⪇≇⋚≴∭⊉5515)=≴∭⊉16124046","reverse_text":"≴∭⊉16124046=≉(⊵⊁(≴∭⊉2631≎⊠⪸≴∭⊉4140))⨭⪣(⩰≴∭⊉12605⪇≇⋚≴∭⊉5515)","cot":[{"info":"≴∭⊉2631≎⊠⪸≴∭⊉4140=≴∭⊉2126143","layer":3},{"info":"⊵⊁≴∭⊉2126143=≴∭⊉16126165","layer":2},{"info":"≴∭⊉12605⪇≇⋚≴∭⊉5515=≴∭⊉0","layer":3},{"info":"⩰≴∭⊉0=≴∭⊉-2626","layer":2},{"info":"≴∭⊉16126165⨭⪣≴∭⊉-2626=≴∭⊉16122360","layer":1},{"info":"≉≴∭⊉16122360=≴∭⊉16124046","layer":0}]}
+{"id":257,"expression_no_base_symbol":"⫶⊄≣(($5040$+⇶⊼$5203$⋭≵$2872$⨻⩈⩔$5727$)↡⊰⫅($3041$⨽∌$1946$)⇂≾⫗(⪲⇎$2587$))","expression":"⫶⊄≣((≴∭⊉20460+⇶⊼≴∭⊉21112⋭≵≴∭⊉11242⨻⩈⩔≴∭⊉22461)↡⊰⫅(≴∭⊉11603⨽∌≴∭⊉5450)⇂≾⫗(⪲⇎≴∭⊉10354))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":9776,"operation_count":8,"complexity_ratio":1222.0,"tree":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":5040,"base":7},"right_expr":{"type":"numeric_atoms","value":5203,"base":7}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":2872,"base":7},"right_expr":{"type":"numeric_atoms","value":5727,"base":7}}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":3041,"base":7},"right_expr":{"type":"numeric_atoms","value":1946,"base":7}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":2587,"base":7}}}}},"used_operators":["wxb3vTeyAj","VCtxkLNOzz","jBncVCNhdl","TpPTUOHfaN","nEsXyWgiOK","aBQ6xLxuTc","9samAPKr6k","XPYlsWDdGa"],"dependent_operators":["eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","AHs5Up7iyr","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=5040","layer":4},{"info":"number node, value=5203","layer":4},{"info":"compute binary expreesion, left_input=5040, right_input=5203, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=2872","layer":4},{"info":"number node, value=5727","layer":4},{"info":"compute binary expreesion, left_input=2872, right_input=5727, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=14575","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=14575, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":2},{"info":"number node, value=3041","layer":4},{"info":"number node, value=1946","layer":4},{"info":"compute binary expreesion, left_input=3041, right_input=1946, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"number node, value=2587","layer":4},{"info":"compute unary expreesion, input=2587, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=5174","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=5174, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=-676, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"⫶⊄≣((≴∭⊉20460+⇶⊼≴∭⊉21112⋭≵≴∭⊉11242⨻⩈⩔≴∭⊉22461)↡⊰⫅(≴∭⊉11603⨽∌≴∭⊉5450)⇂≾⫗(⪲⇎≴∭⊉10354))=NaN","reverse_text":"NaN=⫶⊄≣((≴∭⊉20460+⇶⊼≴∭⊉21112⋭≵≴∭⊉11242⨻⩈⩔≴∭⊉22461)↡⊰⫅(≴∭⊉11603⨽∌≴∭⊉5450)⇂≾⫗(⪲⇎≴∭⊉10354))","cot":[{"info":"≴∭⊉20460+⇶⊼≴∭⊉21112=NaN","layer":3},{"info":"≴∭⊉11242⨻⩈⩔≴∭⊉22461=≴∭⊉60331","layer":3},{"info":"NaN⋭≵≴∭⊉60331=≴∭⊉124","layer":2},{"info":"≴∭⊉11603⨽∌≴∭⊉5450=≴∭⊉0","layer":3},{"info":"⪲⇎≴∭⊉10354=≴∭⊉21041","layer":3},{"info":"≴∭⊉0⇂≾⫗≴∭⊉21041=≴∭⊉-1654","layer":2},{"info":"≴∭⊉124↡⊰⫅≴∭⊉-1654=NaN","layer":1},{"info":"⫶⊄≣NaN=NaN","layer":0}]}
+{"id":258,"expression_no_base_symbol":"(($5528$⨪↰⇹$1545$)⪎↠($1250$⪔$4356$)⋅⇍(⨩∲⋌($6715$⪭≯$2464$)))⩇∃⫛(($4436$⋕⪉⪜$1970$⊅)⩒⫫($1205$⊬⨰$5835$⫃⨇$1156$⫲≸⪮$4091$))","expression":"((≴∭⊉22055⨪↰⇹≴∭⊉4335)⪎↠(≴∭⊉3434⪔≴∭⊉15462)⋅⇍(⨩∲⋌(≴∭⊉25402⪭≯≴∭⊉10120)))⩇∃⫛((≴∭⊉15635⋕⪉⪜≴∭⊉5513⊅)⩒⫫(≴∭⊉3341⊬⨰≴∭⊉23004⫃⨇≴∭⊉3241⫲≸⪮≴∭⊉14633))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":11547,"operation_count":13,"complexity_ratio":888.2307692307693,"tree":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":5528,"base":7},"right_expr":{"type":"numeric_atoms","value":1545,"base":7}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":1250,"base":7},"right_expr":{"type":"numeric_atoms","value":4356,"base":7}}},"right_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":6715,"base":7},"right_expr":{"type":"numeric_atoms","value":2464,"base":7}}}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"unary","operator":"⊅","unary_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":4436,"base":7},"right_expr":{"type":"numeric_atoms","value":1970,"base":7}}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":1205,"base":7},"right_expr":{"type":"numeric_atoms","value":5835,"base":7}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":1156,"base":7},"right_expr":{"type":"numeric_atoms","value":4091,"base":7}}}}},"used_operators":["1aApVXNlOP","AdZkA7nFnk","3tVxb0NHM4","tmPS8pqC7x","GjBEYRfMaF","aSik1wnThz","XAx5wpdLa6","KFSx94NKJn","7p6YLioM7f","z6LnFrNh4i","09Ly4LVMIf","s3Fd5m9Dh2","P3lXMJvFrc"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","rJVOvQCfKK","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","SUmda5xLS4","vg4gO5BX6G","HrjLwUk87U","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I"],"result":"≴∭⊉-2065","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5528","layer":4},{"info":"number node, value=1545","layer":4},{"info":"compute binary expreesion, left_input=5528, right_input=1545, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=5528","layer":3},{"info":"number node, value=1250","layer":4},{"info":"number node, value=4356","layer":4},{"info":"compute binary expreesion, left_input=1250, right_input=4356, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"compute binary expreesion, left_input=5528, right_input=450, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":2},{"info":"number node, value=6715","layer":4},{"info":"number node, value=2464","layer":4},{"info":"compute binary expreesion, left_input=6715, right_input=2464, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-733","layer":1},{"info":"number node, value=4436","layer":4},{"info":"number node, value=1970","layer":4},{"info":"compute binary expreesion, left_input=4436, right_input=1970, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":3},{"info":"compute unary expreesion, input=2802, op_id = 7p6YLioM7f, unary_op_definition = 'a⊅ = { ((a⪄a)⊨(517⪚a)) }', output=-174","layer":2},{"info":"number node, value=1205","layer":4},{"info":"number node, value=5835","layer":4},{"info":"compute binary expreesion, left_input=1205, right_input=5835, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=23489","layer":3},{"info":"number node, value=1156","layer":4},{"info":"number node, value=4091","layer":4},{"info":"compute binary expreesion, left_input=1156, right_input=4091, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=1156","layer":3},{"info":"compute binary expreesion, left_input=23489, right_input=1156, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-4656","layer":2},{"info":"compute binary expreesion, left_input=-174, right_input=-4656, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=-1166","layer":1},{"info":"compute binary expreesion, left_input=-733, right_input=-1166, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b���≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=-733","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉22055⨪↰⇹≴∭⊉4335)⪎↠(≴∭⊉3434⪔≴∭⊉15462)⋅⇍(⨩∲⋌(≴∭⊉25402⪭≯≴∭⊉10120)))⩇∃⫛((≴∭⊉15635⋕⪉⪜≴∭⊉5513⊅)⩒⫫(≴∭⊉3341⊬⨰≴∭⊉23004⫃⨇≴∭⊉3241⫲≸⪮≴∭⊉14633))=≴∭⊉-2065","reverse_text":"≴∭⊉-2065=((≴∭⊉22055⨪↰⇹≴∭⊉4335)⪎↠(≴∭⊉3434⪔≴∭⊉15462)⋅⇍(⨩∲⋌(≴∭⊉25402⪭≯≴∭⊉10120)))⩇∃⫛((≴∭⊉15635⋕⪉⪜≴∭⊉5513⊅)⩒⫫(≴∭⊉3341⊬⨰≴∭⊉23004⫃⨇≴∭⊉3241⫲≸⪮≴∭⊉14633))","cot":[{"info":"≴∭⊉22055⨪↰⇹≴∭⊉4335=≴∭⊉22055","layer":3},{"info":"≴∭⊉3434⪔≴∭⊉15462=≴∭⊉1212","layer":3},{"info":"≴∭⊉22055⪎↠≴∭⊉1212=≴∭⊉316","layer":2},{"info":"≴∭⊉25402⪭≯≴∭⊉10120=NaN","layer":3},{"info":"⨩∲⋌NaN=NaN","layer":2},{"info":"≴∭⊉316⋅⇍NaN=≴∭⊉-2065","layer":1},{"info":"≴∭⊉15635⋕⪉⪜≴∭⊉5513=≴∭⊉11112","layer":3},{"info":"≴∭⊉11112⊅=≴∭⊉-336","layer":2},{"info":"≴∭⊉3341⊬⨰≴∭⊉23004=≴∭⊉125324","layer":3},{"info":"≴∭⊉3241⫲≸⪮≴∭⊉14633=≴∭⊉3241","layer":3},{"info":"≴∭⊉125324⫃⨇≴∭⊉3241=≴∭⊉-16401","layer":2},{"info":"≴∭⊉-336⩒⫫≴∭⊉-16401=≴∭⊉-3254","layer":1},{"info":"≴∭⊉-2065⩇∃⫛≴∭⊉-3254=≴∭⊉-2065","layer":0}]}
+{"id":259,"expression_no_base_symbol":"∷≠((⩦⩻⨪$2177$⫁⪎$3746$)⪨≂($6441$⫥∨⫟$1906$)⇡⇂(⇉-⫰$2078$))","expression":"∷≠((⩦⩻⨪≴∭⊉6230⫁⪎≴∭⊉13631)⪨≂(≴∭⊉24531⫥∨⫟≴∭⊉5362)⇡⇂(⇉-⫰≴∭⊉6026))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1674,"operation_count":7,"complexity_ratio":239.14285714285714,"tree":{"type":"unary","operator":"∷≠","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":2177,"base":7},"right_expr":{"type":"numeric_atoms","value":3746,"base":7}}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":6441,"base":7},"right_expr":{"type":"numeric_atoms","value":1906,"base":7}},"right_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"numeric_atoms","value":2078,"base":7}}}}},"used_operators":["QiR2Oyf5Xj","sdazOOVcIp","2td37pGCOC","xRrnTEsQ6j","UMwdvZNt44","KYD54nUTWz","IGFM8TAlm9"],"dependent_operators":["7j4O788W3g","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","8HhzD0ZcuI","rGHVDoGpnC","eH2TOUuTDT","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=2177","layer":4},{"info":"number node, value=3746","layer":4},{"info":"compute binary expreesion, left_input=2177, right_input=3746, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-1569","layer":3},{"info":"compute unary expreesion, input=-1569, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-1569","layer":2},{"info":"number node, value=6441","layer":4},{"info":"number node, value=1906","layer":4},{"info":"compute binary expreesion, left_input=6441, right_input=1906, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=2078","layer":4},{"info":"compute unary expreesion, input=2078, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=20, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1569, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"∷≠((⩦⩻⨪≴∭⊉6230⫁⪎≴∭⊉13631)⪨≂(≴∭⊉24531⫥∨⫟≴∭⊉5362)⇡⇂(⇉-⫰≴∭⊉6026))=NaN","reverse_text":"NaN=∷≠((⩦⩻⨪≴∭⊉6230⫁⪎≴∭⊉13631)⪨≂(≴∭⊉24531⫥∨⫟≴∭⊉5362)⇡⇂(⇉-⫰≴∭⊉6026))","cot":[{"info":"≴∭⊉6230⫁⪎≴∭⊉13631=≴∭⊉-4401","layer":3},{"info":"⩦⩻⨪≴∭⊉-4401=≴∭⊉-4401","layer":2},{"info":"≴∭⊉24531⫥∨⫟≴∭⊉5362=NaN","layer":3},{"info":"⇉-⫰≴∭⊉6026=≴∭⊉26","layer":3},{"info":"NaN⇡⇂≴∭⊉26=NaN","layer":2},{"info":"≴∭⊉-4401⪨≂NaN=NaN","layer":1},{"info":"∷≠NaN=NaN","layer":0}]}
+{"id":260,"expression_no_base_symbol":"⇁⨣⪵($1574$⊴$3326$)↤⩊(⫓⪴$2755$)↢(≻⋜($1249$⩢≌))","expression":"⇁⨣⪵(≴∭⊉4406⊴≴∭⊉12461)↤⩊(⫓⪴≴∭⊉11014)↢(≻⋜(≴∭⊉3433⩢≌))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":7545,"operation_count":7,"complexity_ratio":1077.857142857143,"tree":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1574,"base":7},"right_expr":{"type":"numeric_atoms","value":3326,"base":7}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":2755,"base":7}}},"right_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"unary","operator":"⩢≌","unary_expr":{"type":"numeric_atoms","value":1249,"base":7}}}}},"used_operators":["inkyxCbjAn","WR6HLWljOP","13rbtpv6ld","Nsiff2A1zJ","eLxqMNBOBk","3tj9sqzovi","D617RFjZIq"],"dependent_operators":["B5M0gjZbta","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","dWAJyo7jo9","14qkJME0vr","9HNa5Wba9A","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","hTbEZDJLEm","o20kRiQErp"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1574","layer":4},{"info":"number node, value=3326","layer":4},{"info":"compute binary expreesion, left_input=1574, right_input=3326, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=2755","layer":4},{"info":"compute unary expreesion, input=2755, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=7590025","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7590025, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":2},{"info":"number node, value=1249","layer":4},{"info":"compute unary expreesion, input=1249, op_id = D617RFjZIq, unary_op_definition = 'a⩢≌ = { ((a∸)∟) }', output=113","layer":3},{"info":"compute unary expreesion, input=113, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"⇁⨣⪵(≴∭⊉4406⊴≴∭⊉12461)↤⩊(⫓⪴≴∭⊉11014)↢(≻⋜(≴∭⊉3433⩢≌))=NaN","reverse_text":"NaN=⇁⨣⪵(≴∭⊉4406⊴≴∭⊉12461)↤⩊(⫓⪴≴∭⊉11014)↢(≻⋜(≴∭⊉3433⩢≌))","cot":[{"info":"≴∭⊉4406⊴≴∭⊉12461=NaN","layer":3},{"info":"⫓⪴≴∭⊉11014=≴∭⊉121341232","layer":3},{"info":"NaN↤⩊≴∭⊉121341232=NaN","layer":2},{"info":"≴∭⊉3433⩢≌=≴∭⊉221","layer":3},{"info":"≻⋜≴∭⊉221=NaN","layer":2},{"info":"NaN↢NaN=NaN","layer":1},{"info":"⇁⨣⪵NaN=NaN","layer":0}]}
+{"id":261,"expression_no_base_symbol":"(($2198$⋷$2201$)⇌⫙⪟($3434$⫚↹⊑$1548$))∌↝(⨰⫟⨤$3405$)⩖⊿($2277$≎⊠⪸$6941$)⊭↱($5398$⫔⩽⩺$7091$⫡⨏$4418$⇮⋭$2679$∽$6928$⇴$3499$↸$7567$⋥⋵⩄$2721$)","expression":"((≴∭⊉6260⋷≴∭⊉6263)⇌⫙⪟(≴∭⊉13004⫚↹⊑≴∭⊉4341))∌↝(⨰⫟⨤≴∭⊉12633)⩖⊿(≴∭⊉6432≎⊠⪸≴∭⊉26144)⊭↱(≴∭⊉21511⫔⩽⩺≴∭⊉26450⫡⨏≴∭⊉15611⇮⋭≴∭⊉10545∽≴∭⊉26125⇴≴∭⊉13126↸≴∭⊉31030⋥⋵⩄≴∭⊉10635)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":13386,"operation_count":15,"complexity_ratio":892.4,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2198,"base":7},"right_expr":{"type":"numeric_atoms","value":2201,"base":7}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":3434,"base":7},"right_expr":{"type":"numeric_atoms","value":1548,"base":7}}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":3405,"base":7}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2277,"base":7},"right_expr":{"type":"numeric_atoms","value":6941,"base":7}}}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":5398,"base":7},"right_expr":{"type":"numeric_atoms","value":7091,"base":7}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":4418,"base":7},"right_expr":{"type":"numeric_atoms","value":2679,"base":7}}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":6928,"base":7},"right_expr":{"type":"numeric_atoms","value":3499,"base":7}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":7567,"base":7},"right_expr":{"type":"numeric_atoms","value":2721,"base":7}}}}},"used_operators":["COABgblf1C","9Isq31Ruls","AFVx7xoS7T","23Mk6UjR3U","dfKe02y8D2","RZ5CV9rWsJ","Tw270M8GLb","bJkvcejdHO","y4ImoPnbV5","QMFrweE19q","i9eR4S00cU","vkpjKywKVM","1eCjFl0mb9","4JB6nKBMSY","7t3wd0Fuz7"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","W4YGzv6Whe","t8gj7n24qd","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","NTOWxs364D","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","Tw270M8GLb","fu6greOZ01","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","sdazOOVcIp","NTOWxs364D","COABgblf1C","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2198","layer":4},{"info":"number node, value=2201","layer":4},{"info":"compute binary expreesion, left_input=2198, right_input=2201, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=2204","layer":3},{"info":"number node, value=3434","layer":4},{"info":"number node, value=1548","layer":4},{"info":"compute binary expreesion, left_input=3434, right_input=1548, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=2204, right_input=-447, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=-2137","layer":2},{"info":"number node, value=3405","layer":4},{"info":"compute unary expreesion, input=3405, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=2277","layer":4},{"info":"number node, value=6941","layer":4},{"info":"compute binary expreesion, left_input=2277, right_input=6941, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=589270","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=589270, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-2137, right_input=nan, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=-2137","layer":1},{"info":"number node, value=5398","layer":4},{"info":"number node, value=7091","layer":4},{"info":"compute binary expreesion, left_input=5398, right_input=7091, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"number node, value=4418","layer":4},{"info":"number node, value=2679","layer":4},{"info":"compute binary expreesion, left_input=4418, right_input=2679, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-473, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":2},{"info":"number node, value=6928","layer":4},{"info":"number node, value=3499","layer":4},{"info":"compute binary expreesion, left_input=6928, right_input=3499, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=48180","layer":3},{"info":"number node, value=7567","layer":4},{"info":"number node, value=2721","layer":4},{"info":"compute binary expreesion, left_input=7567, right_input=2721, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=48180, right_input=113, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=48180","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=48180, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-2137, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉6260⋷≴∭⊉6263)⇌⫙⪟(≴∭⊉13004⫚↹⊑≴∭⊉4341))∌↝(⨰⫟⨤≴∭⊉12633)⩖⊿(≴∭⊉6432≎⊠⪸≴∭⊉26144)⊭↱(≴∭⊉21511⫔⩽⩺≴∭⊉26450⫡⨏≴∭⊉15611⇮⋭≴∭⊉10545∽≴∭⊉26125⇴≴∭⊉13126↸≴∭⊉31030⋥⋵⩄≴∭⊉10635)=NaN","reverse_text":"NaN=((≴∭⊉6260⋷≴∭⊉6263)⇌⫙⪟(≴∭⊉13004⫚↹⊑≴∭⊉4341))∌↝(⨰⫟⨤≴∭⊉12633)⩖⊿(≴∭⊉6432≎⊠⪸≴∭⊉26144)⊭↱(≴∭⊉21511⫔⩽⩺≴∭⊉26450⫡⨏≴∭⊉15611⇮⋭≴∭⊉10545∽≴∭⊉26125⇴≴∭⊉13126↸≴∭⊉31030⋥⋵⩄≴∭⊉10635)","cot":[{"info":"≴∭⊉6260⋷≴∭⊉6263=≴∭⊉6266","layer":3},{"info":"≴∭⊉13004⫚↹⊑≴∭⊉4341=≴∭⊉-1206","layer":3},{"info":"≴∭⊉6266⇌⫙⪟≴∭⊉-1206=≴∭⊉-6142","layer":2},{"info":"⨰⫟⨤≴∭⊉12633=NaN","layer":3},{"info":"≴∭⊉6432≎⊠⪸≴∭⊉26144=≴∭⊉5002663","layer":3},{"info":"NaN⩖⊿≴∭⊉5002663=NaN","layer":2},{"info":"≴∭⊉-6142∌↝NaN=≴∭⊉-6142","layer":1},{"info":"≴∭⊉21511⫔⩽⩺≴∭⊉26450=NaN","layer":3},{"info":"≴∭⊉15611⇮⋭≴∭⊉10545=≴∭⊉-1244","layer":3},{"info":"NaN⫡⨏≴∭⊉-1244=NaN","layer":2},{"info":"≴∭⊉26125⇴≴∭⊉13126=≴∭⊉260316","layer":3},{"info":"≴∭⊉31030⋥⋵⩄≴∭⊉10635=≴∭⊉221","layer":3},{"info":"≴∭⊉260316↸≴∭⊉221=≴∭⊉260316","layer":2},{"info":"NaN∽≴∭⊉260316=NaN","layer":1},{"info":"≴∭⊉-6142⊭↱NaN=NaN","layer":0}]}
+{"id":262,"expression_no_base_symbol":"(⪡⇡≛(($2027$↳≱$1090$)⫁($2582$⇣⩺⋵$1029$)))∌↝(($2482$⩹$5629$)⪉⨛$7445$⫁⪎$1201$)⨸(($3304$⊭↱$1135$)⋹)","expression":"(⪡⇡≛((≴∭⊉5624↳≱≴∭⊉3115)⫁(≴∭⊉10346⇣⩺⋵≴∭⊉3000)))∌↝((≴∭⊉10144⩹≴∭⊉22261)⪉⨛≴∭⊉30464⫁⪎≴∭⊉3334)⨸((≴∭⊉12430⊭↱≴∭⊉3211)⋹)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":12130,"operation_count":11,"complexity_ratio":1102.7272727272727,"tree":{"type":"binary","operator":"∌↝","left_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":2027,"base":7},"right_expr":{"type":"numeric_atoms","value":1090,"base":7}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":2582,"base":7},"right_expr":{"type":"numeric_atoms","value":1029,"base":7}}}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":2482,"base":7},"right_expr":{"type":"numeric_atoms","value":5629,"base":7}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":7445,"base":7},"right_expr":{"type":"numeric_atoms","value":1201,"base":7}}},"right_expr":{"type":"unary","operator":"⋹","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":3304,"base":7},"right_expr":{"type":"numeric_atoms","value":1135,"base":7}}}}},"used_operators":["9Isq31Ruls","qL4PrbW1Dq","0ajvFaJAv0","JwTKLfZU96","F4yD0voBRQ","KmoU8R5UQR","EWw2JM7wp4","2Wsdkap16l","xRrnTEsQ6j","opAxDRczMr","COABgblf1C"],"dependent_operators":["DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","cHh1gJQ2o6","AHs5Up7iyr","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","13rbtpv6ld","mp7IySMOzn","z63VuFQld9","aN9a90urxU","27wFxooxGf","SVb2v531z1","eewbuw0ToL","W4YGzv6Whe","t8gj7n24qd"],"result":"≴∭⊉-360555","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2027","layer":4},{"info":"number node, value=1090","layer":4},{"info":"compute binary expreesion, left_input=2027, right_input=1090, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"number node, value=2582","layer":4},{"info":"number node, value=1029","layer":4},{"info":"compute binary expreesion, left_input=2582, right_input=1029, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-260, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-160","layer":1},{"info":"number node, value=2482","layer":4},{"info":"number node, value=5629","layer":4},{"info":"compute binary expreesion, left_input=2482, right_input=5629, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=5627","layer":3},{"info":"number node, value=7445","layer":4},{"info":"number node, value=1201","layer":4},{"info":"compute binary expreesion, left_input=7445, right_input=1201, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=6244","layer":3},{"info":"compute binary expreesion, left_input=5627, right_input=6244, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=10852","layer":2},{"info":"number node, value=3304","layer":4},{"info":"number node, value=1135","layer":4},{"info":"compute binary expreesion, left_input=3304, right_input=1135, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-4333","layer":3},{"info":"compute unary expreesion, input=-4333, op_id = opAxDRczMr, unary_op_definition = 'a⋹ = { ((⨴⫝a)⇷(a↤⩊a)) , if (a≃⋄)<20 or (⊢≑≆a)<=20 ; ((a⨰a)∧) , else }', output=-20","layer":2},{"info":"compute binary expreesion, left_input=10852, right_input=-20, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=21704","layer":1},{"info":"compute binary expreesion, left_input=-160, right_input=21704, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=-65112","layer":0}],"base":7,"result_base":7,"text":"(⪡⇡≛((≴∭⊉5624↳≱≴∭⊉3115)⫁(≴∭⊉10346⇣⩺⋵≴∭⊉3000)))∌↝((≴∭⊉10144⩹≴∭⊉22261)⪉⨛≴∭⊉30464⫁⪎≴∭⊉3334)⨸((≴∭⊉12430⊭↱≴∭⊉3211)⋹)=≴∭⊉-360555","reverse_text":"≴∭⊉-360555=(⪡⇡≛((≴∭⊉5624↳≱≴∭⊉3115)⫁(≴∭⊉10346⇣⩺⋵≴∭⊉3000)))∌↝((≴∭⊉10144⩹≴∭⊉22261)⪉⨛≴∭⊉30464⫁⪎≴∭⊉3334)⨸((≴∭⊉12430⊭↱≴∭⊉3211)⋹)","cot":[{"info":"≴∭⊉5624↳≱≴∭⊉3115=≴∭⊉0","layer":3},{"info":"≴∭⊉10346⇣⩺⋵≴∭⊉3000=≴∭⊉-521","layer":3},{"info":"≴∭⊉0⫁≴∭⊉-521=≴∭⊉316","layer":2},{"info":"⪡⇡≛≴∭⊉316=≴∭⊉-316","layer":1},{"info":"≴∭⊉10144⩹≴∭⊉22261=≴∭⊉22256","layer":3},{"info":"≴∭⊉30464⫁⪎≴∭⊉3334=≴∭⊉24130","layer":3},{"info":"≴∭⊉22256⪉⨛≴∭⊉24130=≴∭⊉43432","layer":2},{"info":"≴∭⊉12430⊭↱≴∭⊉3211=≴∭⊉-15430","layer":3},{"info":"≴∭⊉-15430⋹=≴∭⊉-26","layer":2},{"info":"≴∭⊉43432⨸≴∭⊉-26=≴∭⊉120164","layer":1},{"info":"≴∭⊉-316∌↝≴∭⊉120164=≴∭⊉-360555","layer":0}]}
+{"id":263,"expression_no_base_symbol":"(∮(($3699$⪭≯$1463$)⪶≀⋏($1202$∙⊟$3915$)))⪄(($5670$⫸⇳$5394$)∺≝⩲($1910$⋖∅⋲)⊓⋫)","expression":"(∮((≴∭⊉13533⪭≯≴∭⊉4160)⪶≀⋏(≴∭⊉3335∙⊟≴∭⊉14262)))⪄((≴∭⊉22350⫸⇳≴∭⊉21504)∺≝⩲(≴∭⊉5366⋖∅⋲)⊓⋫)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1724,"operation_count":9,"complexity_ratio":191.55555555555554,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":3699,"base":7},"right_expr":{"type":"numeric_atoms","value":1463,"base":7}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":1202,"base":7},"right_expr":{"type":"numeric_atoms","value":3915,"base":7}}}},"right_expr":{"type":"unary","operator":"⊓⋫","unary_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":5670,"base":7},"right_expr":{"type":"numeric_atoms","value":5394,"base":7}},"right_expr":{"type":"unary","operator":"⋖∅⋲","unary_expr":{"type":"numeric_atoms","value":1910,"base":7}}}}},"used_operators":["SUmda5xLS4","CqXKPLVYql","zR4jO40bMj","XAx5wpdLa6","SxTAKzQCrw","IqGBaFP0uj","KPf6cnQVty","gx7XJ7hdpj","L95AwlJzhO"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","2td37pGCOC","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","nCS4ZIUYfx","QMFrweE19q","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","gx7XJ7hdpj","3nqY3DE9mg","XTarYq4gQB","y4ImoPnbV5","i8ToyICDmI","xNBdhnnwKq"],"result":"≴∭⊉14413","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3699","layer":4},{"info":"number node, value=1463","layer":4},{"info":"compute binary expreesion, left_input=3699, right_input=1463, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"number node, value=1202","layer":4},{"info":"number node, value=3915","layer":4},{"info":"compute binary expreesion, left_input=1202, right_input=3915, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=25472","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=25472, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=nan","layer":1},{"info":"number node, value=5670","layer":4},{"info":"number node, value=5394","layer":4},{"info":"compute binary expreesion, left_input=5670, right_input=5394, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"number node, value=1910","layer":4},{"info":"compute unary expreesion, input=1910, op_id = L95AwlJzhO, unary_op_definition = 'a⋖∅⋲ = { ((⪝⪂⫅431)⊍) , if (a∲⫓500)>7 ; ((a∽304)⫸⇳(a⊭∹↮)) , else }', output=-384231","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-384231, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = IqGBaFP0uj, unary_op_definition = 'a⊓⋫ = { (((a⪨≂a)⨳⩥⨓(⩦⩻⨪230))⪒(a⋝⋈⪟(542⫡⨏384))) }', output=-288","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-288, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":0}],"base":7,"result_base":7,"text":"(∮((≴∭⊉13533⪭≯≴∭⊉4160)⪶≀⋏(≴∭⊉3335∙⊟≴∭⊉14262)))⪄((≴∭⊉22350⫸⇳≴∭⊉21504)∺≝⩲(≴∭⊉5366⋖∅⋲)⊓⋫)=≴∭⊉14413","reverse_text":"≴∭⊉14413=(∮((≴∭⊉13533⪭≯≴∭⊉4160)⪶≀⋏(≴∭⊉3335∙⊟≴∭⊉14262)))⪄((≴∭⊉22350⫸⇳≴∭⊉21504)∺≝⩲(≴∭⊉5366⋖∅⋲)⊓⋫)","cot":[{"info":"≴∭⊉13533⪭≯≴∭⊉4160=NaN","layer":3},{"info":"≴∭⊉3335∙⊟≴∭⊉14262=≴∭⊉134156","layer":3},{"info":"NaN⪶≀⋏≴∭⊉134156=NaN","layer":2},{"info":"∮NaN=NaN","layer":1},{"info":"≴∭⊉22350⫸⇳≴∭⊉21504=≴∭⊉0","layer":3},{"info":"≴∭⊉5366⋖∅⋲=≴∭⊉-3160131","layer":3},{"info":"≴∭⊉0∺≝⩲≴∭⊉-3160131=≴∭⊉316","layer":2},{"info":"≴∭⊉316⊓⋫=≴∭⊉-561","layer":1},{"info":"NaN⪄≴∭⊉-561=≴∭⊉14413","layer":0}]}
+{"id":264,"expression_no_base_symbol":"(⊲⪭$1435$)⨑⩅≇(≸≮$1687$)+⪬∐(($4309$⊲⩕⊾$2441$)⪚($4343$⊿∆))⪥(($3372$↡⊰⫅$1818$)→⨶⪴(⨰⫟⨤$3855$)⊎←↗)","expression":"(⊲⪭≴∭⊉4120)⨑⩅≇(≸≮≴∭⊉4630)+⪬∐((≴∭⊉15364⊲⩕⊾≴∭⊉10055)⪚(≴∭⊉15443⊿∆))⪥((≴∭⊉12555↡⊰⫅≴∭⊉5205)→⨶⪴(⨰⫟⨤≴∭⊉14145)⊎←↗)","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":50155,"operation_count":12,"complexity_ratio":4179.583333333333,"tree":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"numeric_atoms","value":1435,"base":7}},"right_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"numeric_atoms","value":1687,"base":7}}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":4309,"base":7},"right_expr":{"type":"numeric_atoms","value":2441,"base":7}},"right_expr":{"type":"unary","operator":"⊿∆","unary_expr":{"type":"numeric_atoms","value":4343,"base":7}}}},"right_expr":{"type":"unary","operator":"⊎←↗","unary_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":3372,"base":7},"right_expr":{"type":"numeric_atoms","value":1818,"base":7}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":3855,"base":7}}}}},"used_operators":["QbnwKVWMIQ","2GS7woTJqF","h92wMvzauj","k7HXdKtiEU","AljMvE3RRm","HrjLwUk87U","DmTXOeWf9t","fv3ZujxkQL","dwb5p0fa6d","bF6eod5Gvf","VCtxkLNOzz","Tw270M8GLb"],"dependent_operators":["WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","g55IO6H4Gj","D4vGDi5EA2","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","i8ToyICDmI","xUOZtlo3hN","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","NTOWxs364D","sdazOOVcIp","COABgblf1C","8w2t5hMYqp","9FxExcQeMw","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"≴∭⊉-63320","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1435","layer":4},{"info":"compute unary expreesion, input=1435, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-1609","layer":3},{"info":"number node, value=1687","layer":4},{"info":"compute unary expreesion, input=1687, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1609, right_input=nan, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=935","layer":2},{"info":"number node, value=4309","layer":4},{"info":"number node, value=2441","layer":4},{"info":"compute binary expreesion, left_input=4309, right_input=2441, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-89984","layer":3},{"info":"number node, value=4343","layer":4},{"info":"compute unary expreesion, input=4343, op_id = fv3ZujxkQL, unary_op_definition = 'a⊿∆ = { (a⩚⊴⇥a) }', output=-8807","layer":3},{"info":"compute binary expreesion, left_input=-89984, right_input=-8807, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=179092","layer":2},{"info":"compute binary expreesion, left_input=935, right_input=179092, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-2805","layer":1},{"info":"number node, value=3372","layer":4},{"info":"number node, value=1818","layer":4},{"info":"compute binary expreesion, left_input=3372, right_input=1818, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=3636","layer":3},{"info":"number node, value=3855","layer":4},{"info":"compute unary expreesion, input=3855, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3636, right_input=nan, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = dwb5p0fa6d, unary_op_definition = 'a⊎←↗ = { (a⊭↱340) , if (a⪨≂940)!=203 ; (a⊭↱a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-2805, right_input=nan, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=-15596","layer":0}],"base":7,"result_base":7,"text":"(⊲⪭≴∭⊉4120)⨑⩅≇(≸≮≴∭⊉4630)+⪬∐((≴∭⊉15364⊲⩕⊾≴∭⊉10055)⪚(≴∭⊉15443⊿∆))⪥((≴∭⊉12555↡⊰⫅≴∭⊉5205)→⨶⪴(⨰⫟⨤≴∭⊉14145)⊎←↗)=≴∭⊉-63320","reverse_text":"≴∭⊉-63320=(⊲⪭≴∭⊉4120)⨑⩅≇(≸≮≴∭⊉4630)+⪬∐((≴∭⊉15364⊲⩕⊾≴∭⊉10055)⪚(≴∭⊉15443⊿∆))⪥((≴∭⊉12555↡⊰⫅≴∭⊉5205)→⨶⪴(⨰⫟⨤≴∭⊉14145)⊎←↗)","cot":[{"info":"⊲⪭≴∭⊉4120=≴∭⊉-4456","layer":3},{"info":"≸≮≴∭⊉4630=NaN","layer":3},{"info":"≴∭⊉-4456⨑⩅≇NaN=≴∭⊉2504","layer":2},{"info":"≴∭⊉15364⊲⩕⊾≴∭⊉10055=≴∭⊉-523226","layer":3},{"info":"≴∭⊉15443⊿∆=≴∭⊉-34451","layer":3},{"info":"≴∭⊉-523226⪚≴∭⊉-34451=≴∭⊉1344064","layer":2},{"info":"≴∭⊉2504+⪬∐≴∭⊉1344064=≴∭⊉-11115","layer":1},{"info":"≴∭⊉12555↡⊰⫅≴∭⊉5205=≴∭⊉13413","layer":3},{"info":"⨰⫟⨤≴∭⊉14145=NaN","layer":3},{"info":"≴∭⊉13413→⨶⪴NaN=NaN","layer":2},{"info":"NaN⊎←↗=NaN","layer":1},{"info":"≴∭⊉-11115⪥NaN=≴∭⊉-63320","layer":0}]}
+{"id":265,"expression_no_base_symbol":"≑⋹((↨⩢⫨($1912$⊾⪯⋞$2145$))⩒⫫$1356$⫞⩸⩒$6362$⋛($1174$∼$2788$))","expression":"≑⋹((↨⩢⫨(≴∭⊉5401⊾⪯⋞≴∭⊉6153))⩒⫫≴∭⊉3645⫞⩸⩒≴∭⊉24356⋛(≴∭⊉3265∼≴∭⊉11062))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":329,"operation_count":7,"complexity_ratio":47.0,"tree":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":1912,"base":7},"right_expr":{"type":"numeric_atoms","value":2145,"base":7}}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":1356,"base":7},"right_expr":{"type":"numeric_atoms","value":6362,"base":7}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1174,"base":7},"right_expr":{"type":"numeric_atoms","value":2788,"base":7}}}}},"used_operators":["6B9nyZLogK","KFSx94NKJn","Z5CJsN7DuW","HK0tfVPux8","YbUVn0Rbpy","XGcMNugi78","DyGG3AbaNP"],"dependent_operators":["aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1912","layer":4},{"info":"number node, value=2145","layer":4},{"info":"compute binary expreesion, left_input=1912, right_input=2145, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=3864","layer":3},{"info":"compute unary expreesion, input=3864, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":2},{"info":"number node, value=1356","layer":4},{"info":"number node, value=6362","layer":4},{"info":"compute binary expreesion, left_input=1356, right_input=6362, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=6362","layer":3},{"info":"number node, value=1174","layer":4},{"info":"number node, value=2788","layer":4},{"info":"compute binary expreesion, left_input=1174, right_input=2788, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=6362, right_input=nan, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"≑⋹((↨⩢⫨(≴∭⊉5401⊾⪯⋞≴∭⊉6153))⩒⫫≴∭⊉3645⫞⩸⩒≴∭⊉24356⋛(≴∭⊉3265∼≴∭⊉11062))=NaN","reverse_text":"NaN=≑⋹((↨⩢⫨(≴∭⊉5401⊾⪯⋞≴∭⊉6153))⩒⫫≴∭⊉3645⫞⩸⩒≴∭⊉24356⋛(≴∭⊉3265∼≴∭⊉11062))","cot":[{"info":"≴∭⊉5401⊾⪯⋞≴∭⊉6153=≴∭⊉14160","layer":3},{"info":"↨⩢⫨≴∭⊉14160=≴∭⊉0","layer":2},{"info":"≴∭⊉3645⫞⩸⩒≴∭⊉24356=≴∭⊉24356","layer":3},{"info":"≴∭⊉3265∼≴∭⊉11062=NaN","layer":3},{"info":"≴∭⊉24356⋛NaN=NaN","layer":2},{"info":"≴∭⊉0⩒⫫NaN=NaN","layer":1},{"info":"≑⋹NaN=NaN","layer":0}]}
+{"id":266,"expression_no_base_symbol":"((≋$2717$)⨐⩸⫘(⨡↴$5898$))∓⋝(($1109$⫸⇳$1807$)⊱⇼⊻($1132$⫑%∭))⪢((⇐($2595$+$2630$))⇡)","expression":"((≋≴∭⊉10631)⨐⩸⫘(⨡↴≴∭⊉23124))∓⋝((≴∭⊉3143⫸⇳≴∭⊉5161)⊱⇼⊻(≴∭⊉3205⫑%∭))⪢((⇐(≴∭⊉10365+≴∭⊉10445))⇡)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4021,"operation_count":11,"complexity_ratio":365.54545454545456,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"numeric_atoms","value":2717,"base":7}},"right_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"numeric_atoms","value":5898,"base":7}}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":1109,"base":7},"right_expr":{"type":"numeric_atoms","value":1807,"base":7}},"right_expr":{"type":"unary","operator":"⫑%∭","unary_expr":{"type":"numeric_atoms","value":1132,"base":7}}}},"right_expr":{"type":"unary","operator":"⇡","unary_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2595,"base":7},"right_expr":{"type":"numeric_atoms","value":2630,"base":7}}}}},"used_operators":["dWAJyo7jo9","PoHhknlbAi","fu6greOZ01","61wBmkZwlr","liw5iZPkLH","FyVja0WsTP","gx7XJ7hdpj","xUx7qlDO4z","UqFzSgLMvQ","nmZMaaE0Q9","W4YGzv6Whe"],"dependent_operators":["k8jYdgA6NY","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","3ViojmjbAp","7j4O788W3g","W4YGzv6Whe","P8v4zCKN1o","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","GODebY97qR","qWUSsah53b","XhwjNDsVaA","oZj3VtZNQx","KYD54nUTWz","nREPSIbpBE","rGHVDoGpnC","3sJ7IOPOlU","sJAwomhLZr","4JB6nKBMSY","k2HlF1dBQh","BiWNJpBvwn","YSKBFp38Pu","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2717","layer":4},{"info":"compute unary expreesion, input=2717, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=2717","layer":3},{"info":"number node, value=5898","layer":4},{"info":"compute unary expreesion, input=5898, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=6947","layer":3},{"info":"compute binary expreesion, left_input=2717, right_input=6947, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=1109","layer":4},{"info":"number node, value=1807","layer":4},{"info":"compute binary expreesion, left_input=1109, right_input=1807, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"number node, value=1132","layer":4},{"info":"compute unary expreesion, input=1132, op_id = xUx7qlDO4z, unary_op_definition = 'a⫑%∭ = { (((a⨟⋌⩍23)⫥∨⫟(a≀⫉a))/((a⨚141)⪟⇏(⫡⇟⇯a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=204","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=204, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":1},{"info":"number node, value=2595","layer":4},{"info":"number node, value=2630","layer":4},{"info":"compute binary expreesion, left_input=2595, right_input=2630, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5225","layer":3},{"info":"compute unary expreesion, input=5225, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=18576","layer":2},{"info":"compute unary expreesion, input=18576, op_id = UqFzSgLMvQ, unary_op_definition = 'a⇡ = { (((a⇴a)⪇≇⋚(∤27))⇤((a⩍⋽⫝̸27)⩠)) }', output=-2917","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=-2917, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":0}],"base":7,"result_base":7,"text":"((≋≴∭⊉10631)⨐⩸⫘(⨡↴≴∭⊉23124))∓⋝((≴∭⊉3143⫸⇳≴∭⊉5161)⊱⇼⊻(≴∭⊉3205⫑%∭))⪢((⇐(≴∭⊉10365+≴∭⊉10445))⇡)=NaN","reverse_text":"NaN=((≋≴∭⊉10631)⨐⩸⫘(⨡↴≴∭⊉23124))∓⋝((≴∭⊉3143⫸⇳≴∭⊉5161)⊱⇼⊻(≴∭⊉3205⫑%∭))⪢((⇐(≴∭⊉10365+≴∭⊉10445))⇡)","cot":[{"info":"≋≴∭⊉10631=≴∭⊉10631","layer":3},{"info":"⨡↴≴∭⊉23124=≴∭⊉26153","layer":3},{"info":"≴∭⊉10631⨐⩸⫘≴∭⊉26153=NaN","layer":2},{"info":"≴∭⊉3143⫸⇳≴∭⊉5161=≴∭⊉0","layer":3},{"info":"≴∭⊉3205⫑%∭=NaN","layer":3},{"info":"≴∭⊉0⊱⇼⊻NaN=≴∭⊉411","layer":2},{"info":"NaN∓⋝≴∭⊉411=≴∭⊉124","layer":1},{"info":"≴∭⊉10365+≴∭⊉10445=≴∭⊉21143","layer":3},{"info":"⇐≴∭⊉21143=≴∭⊉105105","layer":2},{"info":"≴∭⊉105105⇡=≴∭⊉-11335","layer":1},{"info":"≴∭⊉124⪢≴∭⊉-11335=NaN","layer":0}]}
+{"id":267,"expression_no_base_symbol":"≇⪴((⩎⋉$1048$)≳⇉$5234$⩁⩘$1683$)⨼⩣($4709$≀⫉$1420$↡⊰⫅(≸$3296$))","expression":"≇⪴((⩎⋉≴∭⊉3025)≳⇉≴∭⊉21155⩁⩘≴∭⊉4623)⨼⩣(≴∭⊉16505≀⫉≴∭⊉4066↡⊰⫅(≸≴∭⊉12416))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":16938,"operation_count":8,"complexity_ratio":2117.25,"tree":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"numeric_atoms","value":1048,"base":7}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":5234,"base":7},"right_expr":{"type":"numeric_atoms","value":1683,"base":7}}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":4709,"base":7},"right_expr":{"type":"numeric_atoms","value":1420,"base":7}},"right_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"numeric_atoms","value":3296,"base":7}}}}},"used_operators":["zoVPnxeHJ3","JxwMv5le6e","V0kx6qeWkN","FlXk3pOYe8","gub5Cegaqo","VCtxkLNOzz","oZj3VtZNQx","eOf03JbCpp"],"dependent_operators":["7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","DpFCA1CohY","IWmyXbctLI","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1048","layer":4},{"info":"compute unary expreesion, input=1048, op_id = FlXk3pOYe8, unary_op_definition = '⩎⋉a = { (((a/a)∲⫓(≛a))∴((a⩨a)⨳⩥⨓(⊄⩳↩a))) , if (a⩇∃⫛268)<=24 or a==244 or (↩⪖a)>=4 ; (((a⨔⇊a)∠↢(↸⊣a))≚⊃≕((≦∁a)⨐461)) , else }', output=1650","layer":3},{"info":"number node, value=5234","layer":4},{"info":"number node, value=1683","layer":4},{"info":"compute binary expreesion, left_input=5234, right_input=1683, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=7680","layer":3},{"info":"compute binary expreesion, left_input=1650, right_input=7680, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":2},{"info":"number node, value=4709","layer":4},{"info":"number node, value=1420","layer":4},{"info":"compute binary expreesion, left_input=4709, right_input=1420, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"number node, value=3296","layer":4},{"info":"compute unary expreesion, input=3296, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=58","layer":3},{"info":"compute binary expreesion, left_input=2822, right_input=58, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=116","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=116, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"≇⪴((⩎⋉≴∭⊉3025)≳⇉≴∭⊉21155⩁⩘≴∭⊉4623)⨼⩣(≴∭⊉16505≀⫉≴∭⊉4066↡⊰⫅(≸≴∭⊉12416))=NaN","reverse_text":"NaN=≇⪴((⩎⋉≴∭⊉3025)≳⇉≴∭⊉21155⩁⩘≴∭⊉4623)⨼⩣(≴∭⊉16505≀⫉≴∭⊉4066↡⊰⫅(≸≴∭⊉12416))","cot":[{"info":"⩎⋉≴∭⊉3025=≴∭⊉4545","layer":3},{"info":"≴∭⊉21155⩁⩘≴∭⊉4623=≴∭⊉31251","layer":3},{"info":"≴∭⊉4545≳⇉≴∭⊉31251=NaN","layer":2},{"info":"≴∭⊉16505≀⫉≴∭⊉4066=≴∭⊉11141","layer":3},{"info":"≸≴∭⊉12416=≴∭⊉112","layer":3},{"info":"≴∭⊉11141↡⊰⫅≴∭⊉112=≴∭⊉224","layer":2},{"info":"NaN⨼⩣≴∭⊉224=NaN","layer":1},{"info":"≇⪴NaN=NaN","layer":0}]}
+{"id":268,"expression_no_base_symbol":"⇋↷(↞≼(⇈(≱⇩⩕$8803$)))","expression":"⇋↷(↞≼(⇈(≱⇩⩕≴∭⊉34444)))","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":1066,"operation_count":4,"complexity_ratio":266.5,"tree":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"numeric_atoms","value":8803,"base":7}}}}},"used_operators":["SWo3A1KBJH","DE7zCoGJt9","SLLxy00UIr","3DZMoQKiUl"],"dependent_operators":["XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq"],"result":"≴∭⊉-62444","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=8803","layer":4},{"info":"compute unary expreesion, input=8803, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":3},{"info":"compute unary expreesion, input=113, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":2},{"info":"compute unary expreesion, input=-447, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=-3990","layer":1},{"info":"compute unary expreesion, input=-3990, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=-15320","layer":0}],"base":7,"result_base":7,"text":"⇋↷(↞≼(⇈(≱⇩⩕≴∭⊉34444)))=≴∭⊉-62444","reverse_text":"≴∭⊉-62444=⇋↷(↞≼(⇈(≱⇩⩕≴∭⊉34444)))","cot":[{"info":"≱⇩⩕≴∭⊉34444=≴∭⊉221","layer":3},{"info":"⇈≴∭⊉221=≴∭⊉-1206","layer":2},{"info":"↞≼≴∭⊉-1206=≴∭⊉-14430","layer":1},{"info":"⇋↷≴∭⊉-14430=≴∭⊉-62444","layer":0}]}
+{"id":269,"expression_no_base_symbol":"⇈(($2878$%$1174$)∌↝($2501$≚⋢))⋹⋡⊁($1488$∕⩚$1882$)⪬(↡$7281$)","expression":"⇈((≴∭⊉11251%≴∭⊉3265)∌↝(≴∭⊉10202≚⋢))⋹⋡⊁(≴∭⊉4224∕⩚≴∭⊉5326)⪬(↡≴∭⊉30141)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":65751,"operation_count":8,"complexity_ratio":8218.875,"tree":{"type":"unary","operator":"⇈","unary_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2878,"base":7},"right_expr":{"type":"numeric_atoms","value":1174,"base":7}},"right_expr":{"type":"unary","operator":"≚⋢","unary_expr":{"type":"numeric_atoms","value":2501,"base":7}}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":1488,"base":7},"right_expr":{"type":"numeric_atoms","value":1882,"base":7}},"right_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"numeric_atoms","value":7281,"base":7}}}}},"used_operators":["SLLxy00UIr","As8RqfVLgs","9Isq31Ruls","k8jYdgA6NY","MahUMFw56D","Ez1Nq5fNfI","z9ffQ9n5Zr","MXaNJeIAZ3"],"dependent_operators":["Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","rysDP5nf3Z","3ViojmjbAp","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx"],"result":"≴∭⊉-1206","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2878","layer":4},{"info":"number node, value=1174","layer":4},{"info":"compute binary expreesion, left_input=2878, right_input=1174, op_id = k8jYdgA6NY binary_op_definition= 'None', output=530","layer":3},{"info":"number node, value=2501","layer":4},{"info":"compute unary expreesion, input=2501, op_id = MahUMFw56D, unary_op_definition = 'a≚⋢ = { (a⨓86) }', output=-89","layer":3},{"info":"compute binary expreesion, left_input=530, right_input=-89, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=267","layer":2},{"info":"number node, value=1488","layer":4},{"info":"number node, value=1882","layer":4},{"info":"compute binary expreesion, left_input=1488, right_input=1882, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-1491","layer":3},{"info":"number node, value=7281","layer":4},{"info":"compute unary expreesion, input=7281, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=65529","layer":3},{"info":"compute binary expreesion, left_input=-1491, right_input=65529, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=267, right_input=1234, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=1984","layer":1},{"info":"compute unary expreesion, input=1984, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":0}],"base":7,"result_base":7,"text":"⇈((≴∭⊉11251%≴∭⊉3265)∌↝(≴∭⊉10202≚⋢))⋹⋡⊁(≴∭⊉4224∕⩚≴∭⊉5326)⪬(↡≴∭⊉30141)=≴∭⊉-1206","reverse_text":"≴∭⊉-1206=⇈((≴∭⊉11251%≴∭⊉3265)∌↝(≴∭⊉10202≚⋢))⋹⋡⊁(≴∭⊉4224∕⩚≴∭⊉5326)⪬(↡≴∭⊉30141)","cot":[{"info":"≴∭⊉11251%≴∭⊉3265=≴∭⊉1355","layer":3},{"info":"≴∭⊉10202≚⋢=≴∭⊉-155","layer":3},{"info":"≴∭⊉1355∌↝≴∭⊉-155=≴∭⊉531","layer":2},{"info":"≴∭⊉4224∕⩚≴∭⊉5326=≴∭⊉-4230","layer":3},{"info":"↡≴∭⊉30141=≴∭⊉362022","layer":3},{"info":"≴∭⊉-4230⪬≴∭⊉362022=≴∭⊉3412","layer":2},{"info":"≴∭⊉531⋹⋡⊁≴∭⊉3412=≴∭⊉5533","layer":1},{"info":"⇈≴∭⊉5533=≴∭⊉-1206","layer":0}]}
+{"id":270,"expression_no_base_symbol":"(($1500$∓⋝$3668$)⪔⊥($1195$∇⊂⋱$3793$)⪘⫢((∤$3900$)↪⪝))⫒⫫(∐⩳⋚(($1105$↙$2467$)⇆⨓≜))","expression":"((≴∭⊉4242∓⋝≴∭⊉13460)⪔⊥(≴∭⊉3325∇⊂⋱≴∭⊉14026)⪘⫢((∤≴∭⊉14241)↪⪝))⫒⫫(∐⩳⋚((≴∭⊉3136↙≴∭⊉10123)⇆⨓≜))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2862,"operation_count":10,"complexity_ratio":286.2,"tree":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":1500,"base":7},"right_expr":{"type":"numeric_atoms","value":3668,"base":7}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":1195,"base":7},"right_expr":{"type":"numeric_atoms","value":3793,"base":7}}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"numeric_atoms","value":3900,"base":7}}}},"right_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"unary","operator":"⇆⨓≜","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1105,"base":7},"right_expr":{"type":"numeric_atoms","value":2467,"base":7}}}}},"used_operators":["6Ko8hGgeMq","oacrs7FA3X","HJ9erzHUuu","PoHhknlbAi","nhYeJWJD5X","l07mrZUIn9","k2HlF1dBQh","SL6IHkK8vl","KvvgdUaMHJ","yyfyN0ffXY"],"dependent_operators":["jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","9HNa5Wba9A","2DDjHMKMc0","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","Uaa54Peajs","KYD54nUTWz","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1500","layer":4},{"info":"number node, value=3668","layer":4},{"info":"compute binary expreesion, left_input=1500, right_input=3668, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"number node, value=1195","layer":4},{"info":"number node, value=3793","layer":4},{"info":"compute binary expreesion, left_input=1195, right_input=3793, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=1844","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=1844, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=-3619","layer":2},{"info":"number node, value=3900","layer":4},{"info":"compute unary expreesion, input=3900, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":3},{"info":"compute unary expreesion, input=9, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=550638","layer":2},{"info":"compute binary expreesion, left_input=-3619, right_input=550638, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=0","layer":1},{"info":"number node, value=1105","layer":4},{"info":"number node, value=2467","layer":4},{"info":"compute binary expreesion, left_input=1105, right_input=2467, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-7401","layer":3},{"info":"compute unary expreesion, input=-7401, op_id = KvvgdUaMHJ, unary_op_definition = 'a⇆⨓≜ = { (∂(a⫥∨⫟a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉4242∓⋝≴∭⊉13460)⪔⊥(≴∭⊉3325∇⊂⋱≴∭⊉14026)⪘⫢((∤≴∭⊉14241)↪⪝))⫒⫫(∐⩳⋚((≴∭⊉3136↙≴∭⊉10123)⇆⨓≜))=NaN","reverse_text":"NaN=((≴∭⊉4242∓⋝≴∭⊉13460)⪔⊥(≴∭⊉3325∇⊂⋱≴∭⊉14026)⪘⫢((∤≴∭⊉14241)↪⪝))⫒⫫(∐⩳⋚((≴∭⊉3136↙≴∭⊉10123)⇆⨓≜))","cot":[{"info":"≴∭⊉4242∓⋝≴∭⊉13460=≴∭⊉124","layer":3},{"info":"≴∭⊉3325∇⊂⋱≴∭⊉14026=≴∭⊉5243","layer":3},{"info":"≴∭⊉124⪔⊥≴∭⊉5243=≴∭⊉-13360","layer":2},{"info":"∤≴∭⊉14241=≴∭⊉12","layer":3},{"info":"≴∭⊉12↪⪝=≴∭⊉4452234","layer":2},{"info":"≴∭⊉-13360⪘⫢≴∭⊉4452234=≴∭⊉0","layer":1},{"info":"≴∭⊉3136↙≴∭⊉10123=≴∭⊉-30402","layer":3},{"info":"≴∭⊉-30402⇆⨓≜=NaN","layer":2},{"info":"∐⩳⋚NaN=NaN","layer":1},{"info":"≴∭⊉0⫒⫫NaN=NaN","layer":0}]}
+{"id":271,"expression_no_base_symbol":"(($3720$⋳⪒$7956$)⫑)⋾⨃∁($3008$⪭≯$7384$)⋹⋡⊁(≛$4101$)⨑≵⋬($4232$⫸⇳$5353$)≎⪠($4515$⪨≂$2577$)⫸⊐($5923$≭$1561$)≠≀($2599$⨐⩸⫘$7544$)","expression":"((≴∭⊉13563⋳⪒≴∭⊉32124)⫑)⋾⨃∁(≴∭⊉11525⪭≯≴∭⊉30346)⋹⋡⊁(≛≴∭⊉14646)⨑≵⋬(≴∭⊉15224⫸⇳≴∭⊉21415)≎⪠(≴∭⊉16110⪨≂≴∭⊉10341)⫸⊐(≴∭⊉23161≭≴∭⊉4360)≠≀(≴∭⊉10402⨐⩸⫘≴∭⊉30665)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":19459,"operation_count":14,"complexity_ratio":1389.9285714285713,"tree":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"unary","operator":"⫑","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3720,"base":7},"right_expr":{"type":"numeric_atoms","value":7956,"base":7}}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":3008,"base":7},"right_expr":{"type":"numeric_atoms","value":7384,"base":7}},"right_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"numeric_atoms","value":4101,"base":7}}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":4232,"base":7},"right_expr":{"type":"numeric_atoms","value":5353,"base":7}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":4515,"base":7},"right_expr":{"type":"numeric_atoms","value":2577,"base":7}}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":5923,"base":7},"right_expr":{"type":"numeric_atoms","value":1561,"base":7}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2599,"base":7},"right_expr":{"type":"numeric_atoms","value":7544,"base":7}}}}},"used_operators":["XnXgA4xnOs","212REbPD9h","CgIo77xlM2","12rbrZMWeM","As8RqfVLgs","XAx5wpdLa6","W7eaUhjymW","mqXw5SEYmG","aNhz54LH3e","gx7XJ7hdpj","sdazOOVcIp","IwW236VD4Y","rxpJgHHUmx","fu6greOZ01"],"dependent_operators":["eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","cWQsF5MvuD","zR4jO40bMj","SUmda5xLS4","DZ8iAZOCBD","PxpmPgHHJV","ocnLzx9CaJ","Z5m6OM72h2","mqXw5SEYmG","8cLx32lpNA","rysDP5nf3Z","t8gj7n24qd","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","AHs5Up7iyr","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3720","layer":4},{"info":"number node, value=7956","layer":4},{"info":"compute binary expreesion, left_input=3720, right_input=7956, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-803","layer":3},{"info":"compute unary expreesion, input=-803, op_id = CgIo77xlM2, unary_op_definition = 'a⫑ = { (((a⊉≛↸377)⩼⇪↪(a∘a))⪄(841⪶≀⋏a)) , if (a⫸⊐7)<631 ; ((↓⇌(a∌a))⨌↪) , else }', output=-480","layer":2},{"info":"number node, value=3008","layer":4},{"info":"number node, value=7384","layer":4},{"info":"compute binary expreesion, left_input=3008, right_input=7384, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"number node, value=4101","layer":4},{"info":"compute unary expreesion, input=4101, op_id = W7eaUhjymW, unary_op_definition = '≛a = { (((a+a)⊉≛↸(a⪠⩆⊳))⊭↱((a⪒a)⩚⊴⇥(a⋝⋈⪟a))) , if (a⫩⊇)>7 or a==273 ; (((a-a)⪒(a⪨≂a))⊉≛↸((a⨰a)⋝⋈⪟(a+a))) , else }', output=-10","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-10, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-480, right_input=nan, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=nan","layer":1},{"info":"number node, value=4232","layer":4},{"info":"number node, value=5353","layer":4},{"info":"compute binary expreesion, left_input=4232, right_input=5353, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"number node, value=4515","layer":4},{"info":"number node, value=2577","layer":4},{"info":"compute binary expreesion, left_input=4515, right_input=2577, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=3978","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=3978, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":2},{"info":"number node, value=5923","layer":4},{"info":"number node, value=1561","layer":4},{"info":"compute binary expreesion, left_input=5923, right_input=1561, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=2599","layer":4},{"info":"number node, value=7544","layer":4},{"info":"compute binary expreesion, left_input=2599, right_input=7544, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=19558, right_input=nan, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉13563⋳⪒≴∭⊉32124)⫑)⋾⨃∁(≴∭⊉11525⪭≯≴∭⊉30346)⋹⋡⊁(≛≴∭⊉14646)⨑≵⋬(≴∭⊉15224⫸⇳≴∭⊉21415)≎⪠(≴∭⊉16110⪨≂≴∭⊉10341)⫸⊐(≴∭⊉23161≭≴∭⊉4360)≠≀(≴∭⊉10402⨐⩸⫘≴∭⊉30665)=NaN","reverse_text":"NaN=((≴∭⊉13563⋳⪒≴∭⊉32124)⫑)⋾⨃∁(≴∭⊉11525⪭≯≴∭⊉30346)⋹⋡⊁(≛≴∭⊉14646)⨑≵⋬(≴∭⊉15224⫸⇳≴∭⊉21415)≎⪠(≴∭⊉16110⪨≂≴∭⊉10341)⫸⊐(≴∭⊉23161≭≴∭⊉4360)≠≀(≴∭⊉10402⨐⩸⫘≴∭⊉30665)","cot":[{"info":"≴∭⊉13563⋳⪒≴∭⊉32124=≴∭⊉-2225","layer":3},{"info":"≴∭⊉-2225⫑=≴∭⊉-1254","layer":2},{"info":"≴∭⊉11525⪭≯≴∭⊉30346=NaN","layer":3},{"info":"≛≴∭⊉14646=≴∭⊉-13","layer":3},{"info":"NaN⋹⋡⊁≴∭⊉-13=NaN","layer":2},{"info":"≴∭⊉-1254⋾⨃∁NaN=NaN","layer":1},{"info":"≴∭⊉15224⫸⇳≴∭⊉21415=≴∭⊉0","layer":3},{"info":"≴∭⊉16110⪨≂≴∭⊉10341=≴∭⊉14412","layer":3},{"info":"≴∭⊉0≎⪠≴∭⊉14412=≴∭⊉111010","layer":2},{"info":"≴∭⊉23161≭≴∭⊉4360=NaN","layer":3},{"info":"≴∭⊉10402⨐⩸⫘≴∭⊉30665=NaN","layer":3},{"info":"NaN≠≀NaN=NaN","layer":2},{"info":"≴∭⊉111010⫸⊐NaN=NaN","layer":1},{"info":"NaN⨑≵⋬NaN=NaN","layer":0}]}
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((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-9885","layer":3},{"info":"number node, value=1006","layer":4},{"info":"number node, value=1860","layer":4},{"info":"compute binary expreesion, left_input=1006, right_input=1860, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute binary expreesion, left_input=-9885, right_input=-473, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=957","layer":2},{"info":"compute unary expreesion, input=957, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=3436","layer":1},{"info":"number node, value=8529","layer":4},{"info":"number node, value=1210","layer":4},{"info":"compute binary expreesion, left_input=8529, right_input=1210, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=24028","layer":3},{"info":"number node, value=1115","layer":4},{"info":"compute unary expreesion, input=1115, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-631","layer":3},{"info":"compute binary expreesion, left_input=24028, right_input=-631, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=322210","layer":2},{"info":"number node, value=2259","layer":4},{"info":"number node, value=4808","layer":4},{"info":"compute binary expreesion, left_input=2259, right_input=4808, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=2560","layer":4},{"info":"number node, value=1718","layer":4},{"info":"compute binary expreesion, left_input=2560, right_input=1718, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-4959","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4959, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=322210, right_input=nan, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=3436, right_input=nan, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(⊽(≴∭⊉12415⨑⩅≇≴∭⊉23115⇄(≴∭⊉2635⇮⋭≴∭⊉5265)))⪉⨛(≴∭⊉33603≄⊠≴∭⊉3346∙⊟(∟⋨≴∭⊉3152))≁((≴∭⊉6405≭≴∭⊉20006)⨜⨶(≴∭⊉10315⩣⫁∢≴∭⊉5003))=NaN","reverse_text":"NaN=(⊽(≴∭⊉12415⨑⩅≇≴∭⊉23115⇄(≴∭⊉2635⇮⋭≴∭⊉5265)))⪉⨛(≴∭⊉33603≄⊠≴∭⊉3346∙⊟(∟⋨≴∭⊉3152))≁((≴∭⊉6405≭≴∭⊉20006)⨜⨶(≴∭⊉10315⩣⫁∢≴∭⊉5003))","cot":[{"info":"≴∭⊉12415⨑⩅≇≴∭⊉23115=≴∭⊉-40551","layer":3},{"info":"≴∭⊉2635⇮⋭≴∭⊉5265=≴∭⊉-1244","layer":3},{"info":"≴∭⊉-40551⇄≴∭⊉-1244=≴∭⊉2535","layer":2},{"info":"⊽≴∭⊉2535=≴∭⊉13006","layer":1},{"info":"≴∭⊉33603≄⊠≴∭⊉3346=≴∭⊉130024","layer":3},{"info":"∟⋨≴∭⊉3152=≴∭⊉-1561","layer":3},{"info":"≴∭⊉130024∙⊟≴∭⊉-1561=≴∭⊉2511250","layer":2},{"info":"≴∭⊉6405≭≴∭⊉20006=NaN","layer":3},{"info":"≴∭⊉10315⩣⫁∢≴∭⊉5003=≴∭⊉-20313","layer":3},{"info":"NaN⨜⨶≴∭⊉-20313=NaN","layer":2},{"info":"≴∭⊉2511250≁NaN=NaN","layer":1},{"info":"≴∭⊉13006⪉⨛NaN=NaN","layer":0}]}
+{"id":273,"expression_no_base_symbol":"(∮($1160$⩚⊴⇥$2317$⫌⩉⩟$2843$⇄$1789$))↹⊜(↩(⋣($1883$⇔⨋)))","expression":"(∮(≴∭⊉3245⩚⊴⇥≴∭⊉6520⫌⩉⩟≴∭⊉11201⇄≴∭⊉5134))↹⊜(↩(⋣(≴∭⊉5330⇔⨋)))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2116,"operation_count":8,"complexity_ratio":264.5,"tree":{"type":"binary","operator":"↹⊜","left_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1160,"base":7},"right_expr":{"type":"numeric_atoms","value":2317,"base":7}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":2843,"base":7},"right_expr":{"type":"numeric_atoms","value":1789,"base":7}}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"unary","operator":"⇔⨋","unary_expr":{"type":"numeric_atoms","value":1883,"base":7}}}}},"used_operators":["9bazX3JMtO","CqXKPLVYql","XIIwhv8d0m","NTOWxs364D","3EYGwJThht","jLgFTUHLKL","zQWRhDnn8F","uBihLCJcMX"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","N41Kp7NANJ","7j4O788W3g","glklzrTFfD","tifHPKVTfV","12rbrZMWeM","f6k1SAg4EE","D4vGDi5EA2","nCS4ZIUYfx","QMFrweE19q"],"result":"≴∭⊉-2246023645","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1160","layer":4},{"info":"number node, value=2317","layer":4},{"info":"compute binary expreesion, left_input=1160, right_input=2317, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3598","layer":3},{"info":"number node, value=2843","layer":4},{"info":"number node, value=1789","layer":4},{"info":"compute binary expreesion, left_input=2843, right_input=1789, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-3598, right_input=0, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":2},{"info":"compute unary expreesion, input=-50, op_id = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=-238186","layer":1},{"info":"number node, value=1883","layer":4},{"info":"compute unary expreesion, input=1883, op_id = uBihLCJcMX, unary_op_definition = 'a⇔⨋ = { (((a⨁⊸⫻)⋳⪒a)⪒((a≦≮≮)⨁⊸⫻)) , if a<217 ; (((a≋⫹)⨳⩥⨓(a↺a))⋳⪒((a⨳⩥⨓a)⫡⨏(a⇼⇔∾a))) , else }', output=10228","layer":3},{"info":"compute unary expreesion, input=10228, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-3006937","layer":2},{"info":"compute unary expreesion, input=-3006937, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=12030368","layer":1},{"info":"compute binary expreesion, left_input=-238186, right_input=12030368, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-96243040","layer":0}],"base":7,"result_base":7,"text":"(∮(≴∭⊉3245⩚⊴⇥≴∭⊉6520⫌⩉⩟≴∭⊉11201⇄≴∭⊉5134))↹⊜(↩(⋣(≴∭⊉5330⇔⨋)))=≴∭⊉-2246023645","reverse_text":"≴∭⊉-2246023645=(∮(≴∭⊉3245⩚⊴⇥≴∭⊉6520⫌⩉⩟≴∭⊉11201⇄≴∭⊉5134))↹⊜(↩(⋣(≴∭⊉5330⇔⨋)))","cot":[{"info":"≴∭⊉3245⩚⊴⇥≴∭⊉6520=≴∭⊉-13330","layer":3},{"info":"≴∭⊉11201⇄≴∭⊉5134=≴∭⊉0","layer":3},{"info":"≴∭⊉-13330⫌⩉⩟≴∭⊉0=≴∭⊉-101","layer":2},{"info":"∮≴∭⊉-101=≴∭⊉-2011264","layer":1},{"info":"≴∭⊉5330⇔⨋=≴∭⊉41551","layer":3},{"info":"⋣≴∭⊉41551=≴∭⊉-34362403","layer":2},{"info":"↩≴∭⊉-34362403=≴∭⊉204153650","layer":1},{"info":"≴∭⊉-2011264↹⊜≴∭⊉204153650=≴∭⊉-2246023645","layer":0}]}
+{"id":274,"expression_no_base_symbol":"⨵((($4091$⨚⇆$5652$)⨫⇇↔($5194$↬$1491$))⊢((⇋⊎⋝$1426$)⫰⋱$2679$⫁$2313$))","expression":"⨵(((≴∭⊉14633⨚⇆≴∭⊉22323)⨫⇇↔(≴∭⊉21100↬≴∭⊉4230))⊢((⇋⊎⋝≴∭⊉4105)⫰⋱≴∭⊉10545⫁≴∭⊉6513))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":30289,"operation_count":8,"complexity_ratio":3786.125,"tree":{"type":"unary","operator":"⨵","unary_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":4091,"base":7},"right_expr":{"type":"numeric_atoms","value":5652,"base":7}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":5194,"base":7},"right_expr":{"type":"numeric_atoms","value":1491,"base":7}}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"numeric_atoms","value":1426,"base":7}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":2679,"base":7},"right_expr":{"type":"numeric_atoms","value":2313,"base":7}}}}},"used_operators":["Tl3Y52tvF8","5twsqlHp2o","LXhwmt4mBO","lwHaAYXP2r","B5M0gjZbta","6o9Blt3TJ6","CzM2PEoXns","0ajvFaJAv0"],"dependent_operators":["gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","rGHVDoGpnC","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","dWAJyo7jo9","cHh1gJQ2o6","AHs5Up7iyr"],"result":"≴∭⊉-31263","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4091","layer":4},{"info":"number node, value=5652","layer":4},{"info":"compute binary expreesion, left_input=4091, right_input=5652, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"number node, value=5194","layer":4},{"info":"number node, value=1491","layer":4},{"info":"compute binary expreesion, left_input=5194, right_input=1491, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":2},{"info":"number node, value=1426","layer":4},{"info":"compute unary expreesion, input=1426, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":3},{"info":"number node, value=2679","layer":4},{"info":"number node, value=2313","layer":4},{"info":"compute binary expreesion, left_input=2679, right_input=2313, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-527, right_input=nan, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=810","layer":1},{"info":"compute unary expreesion, input=810, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=-7689","layer":0}],"base":7,"result_base":7,"text":"⨵(((≴∭⊉14633⨚⇆≴∭⊉22323)⨫⇇↔(≴∭⊉21100↬≴∭⊉4230))⊢((⇋⊎⋝≴∭⊉4105)⫰⋱≴∭⊉10545⫁≴∭⊉6513))=≴∭⊉-31263","reverse_text":"≴∭⊉-31263=⨵(((≴∭⊉14633⨚⇆≴∭⊉22323)⨫⇇↔(≴∭⊉21100↬≴∭⊉4230))⊢((⇋⊎⋝≴∭⊉4105)⫰⋱≴∭⊉10545⫁≴∭⊉6513))","cot":[{"info":"≴∭⊉14633⨚⇆≴∭⊉22323=NaN","layer":3},{"info":"≴∭⊉21100↬≴∭⊉4230=NaN","layer":3},{"info":"NaN⨫⇇↔NaN=≴∭⊉-1352","layer":2},{"info":"⇋⊎⋝≴∭⊉4105=NaN","layer":3},{"info":"≴∭⊉10545⫁≴∭⊉6513=≴∭⊉316","layer":3},{"info":"NaN⫰⋱≴∭⊉316=NaN","layer":2},{"info":"≴∭⊉-1352⊢NaN=≴∭⊉2235","layer":1},{"info":"⨵≴∭⊉2235=≴∭⊉-31263","layer":0}]}
+{"id":275,"expression_no_base_symbol":"($2996$⪎↠$1214$⇴$1032$∴$2191$)⪬($1776$⩺⪪$1558$⇼⇔∾($2060$⫔⩽⩺$1177$))⊱⇼⊻((→⩰(↡$1305$))∝(⊿$3840$)⪛⫼$6473$∀⇚≩$1106$)","expression":"(≴∭⊉11510⪎↠≴∭⊉3353⇴≴∭⊉3003∴≴∭⊉6250)⪬(≴∭⊉5115⩺⪪≴∭⊉4354⇼⇔∾(≴∭⊉6002⫔⩽⩺≴∭⊉3301))⊱⇼⊻((→⩰(↡≴∭⊉3543))∝(⊿≴∭⊉14124)⪛⫼≴∭⊉24605∀⇚≩≴∭⊉3140)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":58650,"operation_count":14,"complexity_ratio":4189.285714285715,"tree":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":2996,"base":7},"right_expr":{"type":"numeric_atoms","value":1214,"base":7}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":1032,"base":7},"right_expr":{"type":"numeric_atoms","value":2191,"base":7}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":1776,"base":7},"right_expr":{"type":"numeric_atoms","value":1558,"base":7}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":2060,"base":7},"right_expr":{"type":"numeric_atoms","value":1177,"base":7}}}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"numeric_atoms","value":1305,"base":7}}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"numeric_atoms","value":3840,"base":7}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":6473,"base":7},"right_expr":{"type":"numeric_atoms","value":1106,"base":7}}}}},"used_operators":["FyVja0WsTP","Ez1Nq5fNfI","4JB6nKBMSY","3tVxb0NHM4","hrf7POJlIJ","tifHPKVTfV","uvdQJvN4PV","i9eR4S00cU","cTDWOvIxvz","o8Pngz0Tml","MXaNJeIAZ3","hyuBjUqXlG","DO4fhlbJSI","LRNGc0VcxI"],"dependent_operators":["W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","sdazOOVcIp","NTOWxs364D","COABgblf1C","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","Tw270M8GLb","fu6greOZ01","7j4O788W3g","W4YGzv6Whe","COABgblf1C","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","X99M06cbEe"],"result":"≴∭⊉1160","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2996","layer":4},{"info":"number node, value=1214","layer":4},{"info":"compute binary expreesion, left_input=2996, right_input=1214, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"number node, value=1032","layer":4},{"info":"number node, value=2191","layer":4},{"info":"compute binary expreesion, left_input=1032, right_input=2191, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=3712","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=3712, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=7998","layer":2},{"info":"number node, value=1776","layer":4},{"info":"number node, value=1558","layer":4},{"info":"compute binary expreesion, left_input=1776, right_input=1558, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-4386","layer":3},{"info":"number node, value=2060","layer":4},{"info":"number node, value=1177","layer":4},{"info":"compute binary expreesion, left_input=2060, right_input=1177, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-4386, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=7998, right_input=nan, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":1},{"info":"number node, value=1305","layer":4},{"info":"compute unary expreesion, input=1305, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=11745","layer":3},{"info":"compute unary expreesion, input=11745, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":2},{"info":"number node, value=3840","layer":4},{"info":"compute unary expreesion, input=3840, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-16098","layer":3},{"info":"number node, value=6473","layer":4},{"info":"number node, value=1106","layer":4},{"info":"compute binary expreesion, left_input=6473, right_input=1106, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-16098, right_input=nan, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=nan, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉11510⪎↠≴∭⊉3353⇴≴∭⊉3003∴≴∭⊉6250)⪬(≴∭⊉5115⩺⪪≴∭⊉4354⇼⇔∾(≴∭⊉6002⫔⩽⩺≴∭⊉3301))⊱⇼⊻((→⩰(↡≴∭⊉3543))∝(⊿≴∭⊉14124)⪛⫼≴∭⊉24605∀⇚≩≴∭⊉3140)=≴∭⊉1160","reverse_text":"≴∭⊉1160=(≴∭⊉11510⪎↠≴∭⊉3353⇴≴∭⊉3003∴≴∭⊉6250)⪬(≴∭⊉5115⩺⪪≴∭⊉4354⇼⇔∾(≴∭⊉6002⫔⩽⩺≴∭⊉3301))⊱⇼⊻((→⩰(↡≴∭⊉3543))∝(⊿≴∭⊉14124)⪛⫼≴∭⊉24605∀⇚≩≴∭⊉3140)","cot":[{"info":"≴∭⊉11510⪎↠≴∭⊉3353=≴∭⊉316","layer":3},{"info":"≴∭⊉3003∴≴∭⊉6250=≴∭⊉13552","layer":3},{"info":"≴∭⊉316⇴≴∭⊉13552=≴∭⊉32214","layer":2},{"info":"≴∭⊉5115⩺⪪≴∭⊉4354=≴∭⊉-15534","layer":3},{"info":"≴∭⊉6002⫔⩽⩺≴∭⊉3301=NaN","layer":3},{"info":"≴∭⊉-15534⇼⇔∾NaN=NaN","layer":2},{"info":"≴∭⊉32214⪬NaN=≴∭⊉3412","layer":1},{"info":"↡≴∭⊉3543=≴∭⊉46146","layer":3},{"info":"→⩰≴∭⊉46146=NaN","layer":2},{"info":"⊿≴∭⊉14124=≴∭⊉-64635","layer":3},{"info":"≴∭⊉24605∀⇚≩≴∭⊉3140=NaN","layer":3},{"info":"≴∭⊉-64635⪛⫼NaN=NaN","layer":2},{"info":"NaN∝NaN=NaN","layer":1},{"info":"≴∭⊉3412⊱⇼⊻NaN=≴∭⊉1160","layer":0}]}
+{"id":276,"expression_no_base_symbol":"((($1213$⨐⩸⫘$5517$)≀⫉$1469$⪭$1069$)≦↸(⊤⊝$1834$⋅⇍$3538$))≎⪠((($1483$⪁$1035$)⊴($1188$⪶≀⋏$2268$))↳∿⪆($1904$⨽$2349$)⨿(⨈⪑$4141$))","expression":"(((≴∭⊉3352⨐⩸⫘≴∭⊉22041)≀⫉≴∭⊉4166⪭≴∭⊉3055)≦↸(⊤⊝≴∭⊉5230⋅⇍≴∭⊉13213))≎⪠(((≴∭⊉4216⪁≴∭⊉3006)⊴(≴∭⊉3315⪶≀⋏≴∭⊉6420))↳∿⪆(≴∭⊉5360⨽≴∭⊉6564)⨿(⨈⪑≴∭⊉15034))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":46304426,"operation_count":14,"complexity_ratio":3307459.0,"tree":{"type":"binary","operator":"≎⪠","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1213,"base":7},"right_expr":{"type":"numeric_atoms","value":5517,"base":7}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":1469,"base":7},"right_expr":{"type":"numeric_atoms","value":1069,"base":7}}},"right_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":1834,"base":7},"right_expr":{"type":"numeric_atoms","value":3538,"base":7}}}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":1483,"base":7},"right_expr":{"type":"numeric_atoms","value":1035,"base":7}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":1188,"base":7},"right_expr":{"type":"numeric_atoms","value":2268,"base":7}}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1904,"base":7},"right_expr":{"type":"numeric_atoms","value":2349,"base":7}},"right_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"numeric_atoms","value":4141,"base":7}}}}},"used_operators":["aNhz54LH3e","RygbFNSyEJ","oZj3VtZNQx","fu6greOZ01","j9kHMeSvPp","rXAclfmB4M","AdZkA7nFnk","Cw4SuJJGHO","Nsiff2A1zJ","I7sXao9hZE","zR4jO40bMj","abYXlopdE0","8HhzD0ZcuI","mp94q5OcYM"],"dependent_operators":["bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","3ViojmjbAp","COABgblf1C","xUOZtlo3hN","sdazOOVcIp","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","dWAJyo7jo9","14qkJME0vr","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI"],"result":"≴∭⊉111010","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1213","layer":4},{"info":"number node, value=5517","layer":4},{"info":"compute binary expreesion, left_input=1213, right_input=5517, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1469","layer":4},{"info":"number node, value=1069","layer":4},{"info":"compute binary expreesion, left_input=1469, right_input=1069, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=nan","layer":2},{"info":"number node, value=1834","layer":4},{"info":"number node, value=3538","layer":4},{"info":"compute binary expreesion, left_input=1834, right_input=3538, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"compute unary expreesion, input=-22, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=-1342","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1342, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=nan","layer":1},{"info":"number node, value=1483","layer":4},{"info":"number node, value=1035","layer":4},{"info":"compute binary expreesion, left_input=1483, right_input=1035, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"number node, value=1188","layer":4},{"info":"number node, value=2268","layer":4},{"info":"compute binary expreesion, left_input=1188, right_input=2268, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-8332","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-8332, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=1904","layer":4},{"info":"number node, value=2349","layer":4},{"info":"compute binary expreesion, left_input=1904, right_input=2349, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-10881381","layer":3},{"info":"number node, value=4141","layer":4},{"info":"compute unary expreesion, input=4141, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=-10881381, right_input=868, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=67","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":0}],"base":7,"result_base":7,"text":"(((≴∭⊉3352⨐⩸⫘≴∭⊉22041)≀⫉≴∭⊉4166⪭≴∭⊉3055)≦↸(⊤⊝≴∭⊉5230⋅⇍≴∭⊉13213))≎⪠(((≴∭⊉4216⪁≴∭⊉3006)⊴(≴∭⊉3315⪶≀⋏≴∭⊉6420))↳∿⪆(≴∭⊉5360⨽≴∭⊉6564)⨿(⨈⪑≴∭⊉15034))=≴∭⊉111010","reverse_text":"≴∭⊉111010=(((≴∭⊉3352⨐⩸⫘≴∭⊉22041)≀⫉≴∭⊉4166⪭≴∭⊉3055)≦↸(⊤⊝≴∭⊉5230⋅⇍≴∭⊉13213))≎⪠(((≴∭⊉4216⪁≴∭⊉3006)⊴(≴∭⊉3315⪶≀⋏≴∭⊉6420))↳∿⪆(≴∭⊉5360⨽≴∭⊉6564)⨿(⨈⪑≴∭⊉15034))","cot":[{"info":"≴∭⊉3352⨐⩸⫘≴∭⊉22041=NaN","layer":3},{"info":"≴∭⊉4166⪭≴∭⊉3055=≴∭⊉5","layer":3},{"info":"NaN≀⫉≴∭⊉5=NaN","layer":2},{"info":"≴∭⊉5230⋅⇍≴∭⊉13213=≴∭⊉-31","layer":3},{"info":"⊤⊝≴∭⊉-31=≴∭⊉-3625","layer":2},{"info":"NaN≦↸≴∭⊉-3625=NaN","layer":1},{"info":"≴∭⊉4216⪁≴∭⊉3006=NaN","layer":3},{"info":"≴∭⊉3315⪶≀⋏≴∭⊉6420=≴∭⊉-33202","layer":3},{"info":"NaN⊴≴∭⊉-33202=NaN","layer":2},{"info":"≴∭⊉5360⨽≴∭⊉6564=≴∭⊉-161330100","layer":3},{"info":"⨈⪑≴∭⊉15034=≴∭⊉2350","layer":3},{"info":"≴∭⊉-161330100⨿≴∭⊉2350=≴∭⊉124","layer":2},{"info":"NaN↳∿⪆≴∭⊉124=NaN","layer":1},{"info":"NaN≎⪠NaN=≴∭⊉111010","layer":0}]}
+{"id":277,"expression_no_base_symbol":"∡($2839$⊋$1349$⇄(↑$5628$))⨟⋌⩍($2896$≚⊃≕$4329$)⋛$2027$⫘$1538$","expression":"∡(≴∭⊉11164⊋≴∭⊉3635⇄(↑≴∭⊉22260))⨟⋌⩍(≴∭⊉11305≚⊃≕≴∭⊉15423)⋛≴∭⊉5624⫘≴∭⊉4325","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":5675,"operation_count":8,"complexity_ratio":709.375,"tree":{"type":"unary","operator":"∡","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":2839,"base":7},"right_expr":{"type":"numeric_atoms","value":1349,"base":7}},"right_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"numeric_atoms","value":5628,"base":7}}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":2896,"base":7},"right_expr":{"type":"numeric_atoms","value":4329,"base":7}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":2027,"base":7},"right_expr":{"type":"numeric_atoms","value":1538,"base":7}}}}},"used_operators":["pRsWfj4Fpp","rGHVDoGpnC","3EYGwJThht","W4tP9CfskL","tR7O2zTn5j","YbUVn0Rbpy","Bmrmz2XGnR","48vC8HMD2b"],"dependent_operators":["D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","Tcnh7f0tEr","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2839","layer":4},{"info":"number node, value=1349","layer":4},{"info":"compute binary expreesion, left_input=2839, right_input=1349, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=15516292","layer":3},{"info":"number node, value=5628","layer":4},{"info":"compute unary expreesion, input=5628, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":3},{"info":"compute binary expreesion, left_input=15516292, right_input=192, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":2},{"info":"number node, value=2896","layer":4},{"info":"number node, value=4329","layer":4},{"info":"compute binary expreesion, left_input=2896, right_input=4329, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":3},{"info":"number node, value=2027","layer":4},{"info":"number node, value=1538","layer":4},{"info":"compute binary expreesion, left_input=2027, right_input=1538, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=2388157","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=2388157, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-122781","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-122781, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"∡(≴∭⊉11164⊋≴∭⊉3635⇄(↑≴∭⊉22260))⨟⋌⩍(≴∭⊉11305≚⊃≕≴∭⊉15423)⋛≴∭⊉5624⫘≴∭⊉4325=NaN","reverse_text":"NaN=∡(≴∭⊉11164⊋≴∭⊉3635⇄(↑≴∭⊉22260))⨟⋌⩍(≴∭⊉11305≚⊃≕≴∭⊉15423)⋛≴∭⊉5624⫘≴∭⊉4325","cot":[{"info":"≴∭⊉11164⊋≴∭⊉3635=≴∭⊉245613001","layer":3},{"info":"↑≴∭⊉22260=≴∭⊉363","layer":3},{"info":"≴∭⊉245613001⇄≴∭⊉363=≴∭⊉0","layer":2},{"info":"≴∭⊉11305≚⊃≕≴∭⊉15423=≴∭⊉124","layer":3},{"info":"≴∭⊉5624⫘≴∭⊉4325=≴∭⊉26204362","layer":3},{"info":"≴∭⊉124⋛≴∭⊉26204362=≴∭⊉-1020651","layer":2},{"info":"≴∭⊉0⨟⋌⩍≴∭⊉-1020651=NaN","layer":1},{"info":"∡NaN=NaN","layer":0}]}
+{"id":278,"expression_no_base_symbol":"($4072$⩣⫁∢$4118$⊱⇼⊻$4356$↢$2373$⇄($3959$∧)↢($1538$∈))⪎↠((≸$2656$)⋓($1134$↫)⇆⨓≜)","expression":"(≴∭⊉14605⩣⫁∢≴∭⊉15002⊱⇼⊻≴∭⊉15462↢≴∭⊉6630⇄(≴∭⊉14354∧)↢(≴∭⊉4325∈))⪎↠((≸≴∭⊉10513)⋓(≴∭⊉3210↫)⇆⨓≜)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":309,"operation_count":12,"complexity_ratio":25.75,"tree":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":4072,"base":7},"right_expr":{"type":"numeric_atoms","value":4118,"base":7}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":4356,"base":7},"right_expr":{"type":"numeric_atoms","value":2373,"base":7}}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":3959,"base":7}},"right_expr":{"type":"unary","operator":"∈","unary_expr":{"type":"numeric_atoms","value":1538,"base":7}}}},"right_expr":{"type":"unary","operator":"⇆⨓≜","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"numeric_atoms","value":2656,"base":7}},"right_expr":{"type":"unary","operator":"↫","unary_expr":{"type":"numeric_atoms","value":1134,"base":7}}}}},"used_operators":["3tVxb0NHM4","3EYGwJThht","FyVja0WsTP","JDUIKTTSIa","WR6HLWljOP","z63VuFQld9","ztP7wcbY7m","KvvgdUaMHJ","T2fj7uvVaJ","eOf03JbCpp","uPb5QRN0te"],"dependent_operators":["P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","XPYlsWDdGa","8w2t5hMYqp","f6k1SAg4EE","14qkJME0vr","Uaa54Peajs","KYD54nUTWz","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","i8ToyICDmI","2DQ55sFlQl","t8gj7n24qd"],"result":"≴∭⊉2350","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4072","layer":4},{"info":"number node, value=4118","layer":4},{"info":"compute binary expreesion, left_input=4072, right_input=4118, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-7983","layer":3},{"info":"number node, value=4356","layer":4},{"info":"number node, value=2373","layer":4},{"info":"compute binary expreesion, left_input=4356, right_input=2373, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=3872","layer":3},{"info":"compute binary expreesion, left_input=-7983, right_input=3872, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=32136","layer":2},{"info":"number node, value=3959","layer":4},{"info":"compute unary expreesion, input=3959, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":3},{"info":"number node, value=1538","layer":4},{"info":"compute unary expreesion, input=1538, op_id = ztP7wcbY7m, unary_op_definition = 'a∈ = { ((⊄⩳↩250)-(a⊦⊿)) , if ((⪲⇎a)>320 or (a⪒777)>25 or a!=39) ; a , else }', output=3943","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3943, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=32136, right_input=nan, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":1},{"info":"number node, value=2656","layer":4},{"info":"compute unary expreesion, input=2656, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=58","layer":3},{"info":"number node, value=1134","layer":4},{"info":"compute unary expreesion, input=1134, op_id = uPb5QRN0te, unary_op_definition = 'a↫ = { (a∲⫓a) , if (-a)>=333 ; (a⨵⪆a) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=58, right_input=160, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = KvvgdUaMHJ, unary_op_definition = 'a⇆⨓≜ = { (∂(a⫥∨⫟a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=868","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉14605⩣⫁∢≴∭⊉15002⊱⇼⊻≴∭⊉15462↢≴∭⊉6630⇄(≴∭⊉14354∧)↢(≴∭⊉4325∈))⪎↠((≸≴∭⊉10513)⋓(≴∭⊉3210↫)⇆⨓≜)=≴∭⊉2350","reverse_text":"≴∭⊉2350=(≴∭⊉14605⩣⫁∢≴∭⊉15002⊱⇼⊻≴∭⊉15462↢≴∭⊉6630⇄(≴∭⊉14354∧)↢(≴∭⊉4325∈))⪎↠((≸≴∭⊉10513)⋓(≴∭⊉3210↫)⇆⨓≜)","cot":[{"info":"≴∭⊉14605⩣⫁∢≴∭⊉15002=≴∭⊉-32163","layer":3},{"info":"≴∭⊉15462↢≴∭⊉6630=≴∭⊉14201","layer":3},{"info":"≴∭⊉-32163⊱⇼⊻≴∭⊉14201=≴∭⊉162456","layer":2},{"info":"≴∭⊉14354∧=NaN","layer":3},{"info":"≴∭⊉4325∈=≴∭⊉14332","layer":3},{"info":"NaN↢≴∭⊉14332=NaN","layer":2},{"info":"≴∭⊉162456⇄NaN=≴∭⊉0","layer":1},{"info":"≸≴∭⊉10513=≴∭⊉112","layer":3},{"info":"≴∭⊉3210↫=≴∭⊉316","layer":3},{"info":"≴∭⊉112⋓≴∭⊉316=≴∭⊉0","layer":2},{"info":"≴∭⊉0⇆⨓≜=NaN","layer":1},{"info":"≴∭⊉0⪎↠NaN=≴∭⊉2350","layer":0}]}
+{"id":279,"expression_no_base_symbol":"(($4997$≌$1779$)⪬($2419$⫣⪄⊒$2435$)↓(($5027$⊔$2089$)∀⇚≩($3969$⊍⩺⋍$2889$)))≴⪞⇿(($2861$⊫∞)≧⫂∧(∮$9391$)↙$4684$↤⩊$2719$⊋$2852$⨼⩣$1669$)","expression":"((≴∭⊉20366≌≴∭⊉5121)⪬(≴∭⊉10024⫣⪄⊒≴∭⊉10046)↓((≴∭⊉20441⊔≴∭⊉6043)∀⇚≩(≴∭⊉14400⊍⩺⋍≴∭⊉11265)))≴⪞⇿((≴∭⊉11225⊫∞)≧⫂∧(∮≴∭⊉36244)↙≴∭⊉16441↤⩊≴∭⊉10633⊋≴∭⊉11213⨼⩣≴∭⊉4603)","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":153766,"operation_count":15,"complexity_ratio":10251.066666666668,"tree":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":4997,"base":7},"right_expr":{"type":"numeric_atoms","value":1779,"base":7}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":2419,"base":7},"right_expr":{"type":"numeric_atoms","value":2435,"base":7}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":5027,"base":7},"right_expr":{"type":"numeric_atoms","value":2089,"base":7}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":3969,"base":7},"right_expr":{"type":"numeric_atoms","value":2889,"base":7}}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⊫∞","unary_expr":{"type":"numeric_atoms","value":2861,"base":7}},"right_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"numeric_atoms","value":9391,"base":7}}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":4684,"base":7},"right_expr":{"type":"numeric_atoms","value":2719,"base":7}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":2852,"base":7},"right_expr":{"type":"numeric_atoms","value":1669,"base":7}}}}},"used_operators":["lvlrscuwVU","Af076pWI7l","Ez1Nq5fNfI","lyWz822IDG","RabNbG55vr","LRNGc0VcxI","E4l6HwMY31","OXDGMFPWZM","yyfyN0ffXY","Ph9nP6C5qx","pABnYW3G3E","CqXKPLVYql","W4tP9CfskL","13rbtpv6ld","JxwMv5le6e"],"dependent_operators":["DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","X99M06cbEe","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","fu6greOZ01","3sJ7IOPOlU","7YooWSwCyH","ivGwdmUAux","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE"],"result":"≴∭⊉-114300","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4997","layer":4},{"info":"number node, value=1779","layer":4},{"info":"compute binary expreesion, left_input=4997, right_input=1779, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"number node, value=2419","layer":4},{"info":"number node, value=2435","layer":4},{"info":"compute binary expreesion, left_input=2419, right_input=2435, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-10284","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-10284, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"number node, value=5027","layer":4},{"info":"number node, value=2089","layer":4},{"info":"compute binary expreesion, left_input=5027, right_input=2089, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=18099","layer":3},{"info":"number node, value=3969","layer":4},{"info":"number node, value=2889","layer":4},{"info":"compute binary expreesion, left_input=3969, right_input=2889, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=18099, right_input=nan, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=nan, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":1},{"info":"number node, value=2861","layer":4},{"info":"compute unary expreesion, input=2861, op_id = pABnYW3G3E, unary_op_definition = 'a⊫∞ = { ((a⨐⩸⫘149)⪇≇⋚(a∪⫐a)) , if (⫵↿a)>=80 ; a , else }', output=0","layer":3},{"info":"number node, value=9391","layer":4},{"info":"compute unary expreesion, input=9391, op_id = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=67, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-406","layer":2},{"info":"number node, value=4684","layer":4},{"info":"number node, value=2719","layer":4},{"info":"compute binary expreesion, left_input=4684, right_input=2719, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"number node, value=2852","layer":4},{"info":"number node, value=1669","layer":4},{"info":"compute binary expreesion, left_input=2852, right_input=1669, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-406, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-406","layer":1},{"info":"compute binary expreesion, left_input=-134, right_input=-406, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=-20727","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉20366≌≴∭⊉5121)⪬(≴∭⊉10024⫣⪄⊒≴∭⊉10046)↓((≴∭⊉20441⊔≴∭⊉6043)∀⇚≩(≴∭⊉14400⊍⩺⋍≴∭⊉11265)))≴⪞⇿((≴∭⊉11225⊫∞)≧⫂∧(∮≴∭⊉36244)↙≴∭⊉16441↤⩊≴∭⊉10633⊋≴∭⊉11213⨼⩣≴∭⊉4603)=≴∭⊉-114300","reverse_text":"≴∭⊉-114300=((≴∭⊉20366≌≴∭⊉5121)⪬(≴∭⊉10024⫣⪄⊒≴∭⊉10046)↓((≴∭⊉20441⊔≴∭⊉6043)∀⇚≩(≴∭⊉14400⊍⩺⋍≴∭⊉11265)))≴⪞⇿((≴∭⊉11225⊫∞)≧⫂∧(∮≴∭⊉36244)↙≴∭��16441↤⩊≴∭⊉10633⊋≴∭⊉11213⨼⩣≴∭⊉4603)","cot":[{"info":"≴∭⊉20366≌≴∭⊉5121=NaN","layer":3},{"info":"≴∭⊉10024⫣⪄⊒≴∭⊉10046=≴∭⊉-41661","layer":3},{"info":"NaN⪬≴∭⊉-41661=≴∭⊉3412","layer":2},{"info":"≴∭⊉20441⊔≴∭⊉6043=≴∭⊉103524","layer":3},{"info":"≴∭⊉14400⊍⩺⋍≴∭⊉11265=NaN","layer":3},{"info":"≴∭⊉103524∀⇚≩NaN=NaN","layer":2},{"info":"≴∭⊉3412↓NaN=≴∭⊉-251","layer":1},{"info":"≴∭⊉11225⊫∞=≴∭⊉0","layer":3},{"info":"∮≴∭⊉36244=≴∭⊉124","layer":3},{"info":"≴∭⊉0≧⫂∧≴∭⊉124=≴∭⊉-1120","layer":2},{"info":"≴∭⊉16441↤⩊≴∭⊉10633=NaN","layer":3},{"info":"≴∭⊉11213⨼⩣≴∭⊉4603=NaN","layer":3},{"info":"NaN⊋NaN=NaN","layer":2},{"info":"≴∭⊉-1120↙NaN=≴∭⊉-1120","layer":1},{"info":"≴∭⊉-251≴⪞⇿≴∭⊉-1120=≴∭⊉-114300","layer":0}]}
+{"id":280,"expression_no_base_symbol":"⩦⩻⨪($4634$⊬⫿⊭)⨿(∂⩏⊆$5601$)⨐($2057$⪡$1412$⫰⋱($5626$⨱∎))","expression":"⩦⩻⨪(≴∭⊉16340⊬⫿⊭)⨿(∂⩏⊆≴∭⊉22221)⨐(≴∭⊉5666⪡≴∭⊉4055⫰⋱(≴∭⊉22255⨱∎))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":42144,"operation_count":8,"complexity_ratio":5268.0,"tree":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"unary","operator":"⊬⫿⊭","unary_expr":{"type":"numeric_atoms","value":4634,"base":7}},"right_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"numeric_atoms","value":5601,"base":7}}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":2057,"base":7},"right_expr":{"type":"numeric_atoms","value":1412,"base":7}},"right_expr":{"type":"unary","operator":"⨱∎","unary_expr":{"type":"numeric_atoms","value":5626,"base":7}}}}},"used_operators":["2td37pGCOC","Noe24qw2ks","abYXlopdE0","v0DYgG9ikt","8WDwsbhb0R","6o9Blt3TJ6","oraRL2iQuh","MmTdOpaElr"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","eLAdDNolq6","P8v4zCKN1o","7j4O788W3g","8w2t5hMYqp","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","14qkJME0vr","eLAdDNolq6","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","tifHPKVTfV"],"result":"≴∭⊉-251","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4634","layer":4},{"info":"compute unary expreesion, input=4634, op_id = v0DYgG9ikt, unary_op_definition = 'a⊬⫿⊭ = { ((⨑⩽⪐(≤/a))↺((⨞⊢a)⨰(↽≂188))) , if a<119 ; (((∥⊫a)⨳⩥⨓(a⨵⪆a))↺(⊄⩳↩(a⋝⋈⪟a))) , else }', output=-13902","layer":3},{"info":"number node, value=5601","layer":4},{"info":"compute unary expreesion, input=5601, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-16882","layer":3},{"info":"compute binary expreesion, left_input=-13902, right_input=-16882, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=67","layer":2},{"info":"number node, value=2057","layer":4},{"info":"number node, value=1412","layer":4},{"info":"compute binary expreesion, left_input=2057, right_input=1412, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"number node, value=5626","layer":4},{"info":"compute unary expreesion, input=5626, op_id = MmTdOpaElr, unary_op_definition = 'a⨱∎ = { (a⇼⇔∾a) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=107, right_input=0, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-74","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=-74, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-134","layer":1},{"info":"compute unary expreesion, input=-134, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-134","layer":0}],"base":7,"result_base":7,"text":"⩦⩻⨪(≴∭⊉16340⊬⫿⊭)⨿(∂⩏⊆≴∭⊉22221)⨐(≴∭⊉5666⪡≴∭⊉4055⫰⋱(≴∭⊉22255⨱∎))=≴∭⊉-251","reverse_text":"≴∭⊉-251=⩦⩻⨪(≴∭⊉16340⊬⫿⊭)⨿(∂⩏⊆≴∭⊉22221)⨐(≴∭⊉5666⪡≴∭⊉4055⫰⋱(≴∭⊉22255⨱∎))","cot":[{"info":"≴∭⊉16340⊬⫿⊭=≴∭⊉-55350","layer":3},{"info":"∂⩏⊆≴∭⊉22221=≴∭⊉-100135","layer":3},{"info":"≴∭⊉-55350⨿≴∭⊉-100135=≴∭⊉124","layer":2},{"info":"≴∭⊉5666⪡≴∭⊉4055=≴∭⊉212","layer":3},{"info":"≴∭⊉22255⨱∎=≴∭���0","layer":3},{"info":"≴∭⊉212⫰⋱≴∭⊉0=≴∭⊉-134","layer":2},{"info":"≴∭⊉124⨐≴∭⊉-134=≴∭⊉-251","layer":1},{"info":"⩦⩻⨪≴∭⊉-251=≴∭⊉-251","layer":0}]}
+{"id":281,"expression_no_base_symbol":"(((⊬↢$1341$)⇀∌)⫡⨏$1056$≚⊃≕$1027$≭($6622$⫰⋱$4236$))⋥≓≎((∮$1121$)⨼⩣($2087$⇼⇔∾$1317$))⨿(($1026$∛$1872$)∇⊂⋱$9464$≁$5328$)","expression":"(((⊬↢≴∭⊉3624)⇀∌)⫡⨏≴∭⊉3036≚⊃≕≴∭⊉2665≭(≴∭⊉25210⫰⋱≴∭⊉15231))⋥≓≎((∮≴∭⊉3161)⨼⩣(≴∭⊉6041⇼⇔∾≴∭⊉3561))⨿((≴∭⊉2664∛≴∭⊉5313)∇⊂⋱≴∭⊉36410≁≴∭⊉21351)","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":53671,"operation_count":14,"complexity_ratio":3833.6428571428573,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⇀∌","unary_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"numeric_atoms","value":1341,"base":7}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":1056,"base":7},"right_expr":{"type":"numeric_atoms","value":1027,"base":7}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":6622,"base":7},"right_expr":{"type":"numeric_atoms","value":4236,"base":7}}}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"numeric_atoms","value":1121,"base":7}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2087,"base":7},"right_expr":{"type":"numeric_atoms","value":1317,"base":7}}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":1026,"base":7},"right_expr":{"type":"numeric_atoms","value":1872,"base":7}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":9464,"base":7},"right_expr":{"type":"numeric_atoms","value":5328,"base":7}}}}},"used_operators":["Qy55tPpLXF","QMFrweE19q","2k53nXOpI5","WPoGxAaPR1","rxpJgHHUmx","Bmrmz2XGnR","6o9Blt3TJ6","abYXlopdE0","JxwMv5le6e","CqXKPLVYql","tifHPKVTfV","nhYeJWJD5X","w2537kitQq","8N2wDY1A35"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","Q3PJZHRvZv","ddLRYrp01A","AcOhelriW5","7t3wd0Fuz7","3tVxb0NHM4","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","AHs5Up7iyr","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","rysDP5nf3Z","t8gj7n24qd","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v"],"result":"≴∭⊉124","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1341","layer":4},{"info":"compute unary expreesion, input=1341, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=218","layer":3},{"info":"compute unary expreesion, input=218, op_id = 2k53nXOpI5, unary_op_definition = 'a⇀∌ = { ((a⪎↠(⨣⨃⇪a))⋥⋵⩄(a∊∟⩊(⊥a))) }', output=113","layer":2},{"info":"number node, value=1056","layer":4},{"info":"number node, value=1027","layer":4},{"info":"compute binary expreesion, left_input=1056, right_input=1027, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":3},{"info":"number node, value=6622","layer":4},{"info":"number node, value=4236","layer":4},{"info":"compute binary expreesion, left_input=6622, right_input=4236, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-6589","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=-6589, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=113, right_input=nan, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":1},{"info":"number node, value=1121","layer":4},{"info":"compute unary expreesion, input=1121, op_id = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=67","layer":3},{"info":"number node, value=2087","layer":4},{"info":"number node, value=1317","layer":4},{"info":"compute binary expreesion, left_input=2087, right_input=1317, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-770","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=-770, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":2},{"info":"number node, value=1026","layer":4},{"info":"number node, value=1872","layer":4},{"info":"compute binary expreesion, left_input=1026, right_input=1872, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"number node, value=9464","layer":4},{"info":"number node, value=5328","layer":4},{"info":"compute binary expreesion, left_input=9464, right_input=5328, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=114671","layer":3},{"info":"compute binary expreesion, left_input=-670, right_input=114671, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=-229342","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-229342, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=67","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":7,"result_base":7,"text":"(((⊬↢≴∭⊉3624)⇀∌)⫡⨏≴∭⊉3036≚⊃≕≴∭⊉2665≭(≴∭⊉25210⫰⋱≴∭⊉15231))⋥≓≎((∮≴∭⊉3161)⨼⩣(≴∭⊉6041⇼⇔∾≴∭⊉3561))⨿((≴∭⊉2664∛≴∭⊉5313)∇⊂⋱≴∭⊉36410≁≴∭⊉21351)=≴∭⊉124","reverse_text":"≴∭⊉124=(((⊬↢≴∭⊉3624)⇀∌)⫡⨏≴∭⊉3036≚⊃≕≴∭⊉2665≭(≴∭⊉25210⫰⋱≴∭⊉15231))⋥≓≎((∮≴∭⊉3161)⨼⩣(≴∭⊉6041⇼⇔∾≴∭⊉3561))⨿((≴∭⊉2664∛≴∭⊉5313)∇⊂⋱≴∭⊉36410≁≴∭⊉21351)","cot":[{"info":"⊬↢≴∭⊉3624=≴∭⊉431","layer":3},{"info":"≴∭⊉431⇀∌=≴∭⊉221","layer":2},{"info":"≴∭⊉3036≚⊃≕≴∭⊉2665=≴∭⊉124","layer":3},{"info":"≴∭⊉25210⫰⋱≴∭⊉15231=≴∭⊉-25132","layer":3},{"info":"≴∭⊉124≭≴∭⊉-25132=NaN","layer":2},{"info":"≴∭⊉221⫡⨏NaN=NaN","layer":1},{"info":"∮≴∭⊉3161=≴∭⊉124","layer":3},{"info":"≴∭⊉6041⇼⇔∾≴∭⊉3561=≴∭⊉-2150","layer":3},{"info":"≴∭⊉124⨼⩣≴∭⊉-2150=NaN","layer":2},{"info":"≴∭⊉2664∛≴∭⊉5313=≴∭⊉-1645","layer":3},{"info":"≴∭⊉36410≁≴∭⊉21351=≴∭⊉655214","layer":3},{"info":"≴∭⊉-1645∇⊂⋱≴∭⊉655214=≴∭⊉-1643431","layer":2},{"info":"NaN⨿≴∭⊉-1643431=≴∭⊉124","layer":1},{"info":"NaN⋥≓≎≴∭⊉124=≴∭⊉124","layer":0}]}
+{"id":282,"expression_no_base_symbol":"(($2506$⇷$6583$)⪟⇏($1727$⨳⩥⨓$1707$)⋷$1710$⩧⪆$6144$⪕$3115$⨔⇊$1624$)⫌⩹⨱","expression":"((≴∭⊉10210⇷≴∭⊉25123)⪟⇏(≴∭⊉5015⨳⩥⨓≴∭⊉4656)⋷≴∭⊉4662⩧⪆≴∭⊉23625⪕≴∭⊉12040⨔⇊≴∭⊉4510)⫌⩹⨱","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":35156,"operation_count":8,"complexity_ratio":4394.5,"tree":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2506,"base":7},"right_expr":{"type":"numeric_atoms","value":6583,"base":7}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1727,"base":7},"right_expr":{"type":"numeric_atoms","value":1707,"base":7}}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":1710,"base":7},"right_expr":{"type":"numeric_atoms","value":6144,"base":7}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":3115,"base":7},"right_expr":{"type":"numeric_atoms","value":1624,"base":7}}}}},"used_operators":["EBcxylXtPf","23Mk6UjR3U","GODebY97qR","mp7IySMOzn","nCS4ZIUYfx","umQnsF7QlU","Ikt5ks8PT7","JclMnS0uGI"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","eewbuw0ToL","t8gj7n24qd","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI"],"result":"≴∭⊉4041","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2506","layer":4},{"info":"number node, value=6583","layer":4},{"info":"compute binary expreesion, left_input=2506, right_input=6583, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=13166","layer":3},{"info":"number node, value=1727","layer":4},{"info":"number node, value=1707","layer":4},{"info":"compute binary expreesion, left_input=1727, right_input=1707, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-20","layer":3},{"info":"compute binary expreesion, left_input=13166, right_input=-20, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=0","layer":2},{"info":"number node, value=1710","layer":4},{"info":"number node, value=6144","layer":4},{"info":"compute binary expreesion, left_input=1710, right_input=6144, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-6144","layer":3},{"info":"number node, value=3115","layer":4},{"info":"number node, value=1624","layer":4},{"info":"compute binary expreesion, left_input=3115, right_input=1624, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=1624","layer":3},{"info":"compute binary expreesion, left_input=-6144, right_input=1624, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=-55","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-55, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=1401","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉10210⇷≴∭⊉25123)⪟⇏(≴∭⊉5015⨳⩥⨓≴∭⊉4656)⋷≴∭⊉4662⩧⪆≴∭⊉23625⪕≴∭⊉12040⨔⇊≴∭⊉4510)⫌⩹⨱=≴∭⊉4041","reverse_text":"≴∭⊉4041=((≴∭⊉10210⇷≴∭⊉25123)⪟⇏(≴∭⊉5015⨳⩥⨓≴∭⊉4656)⋷≴∭⊉4662⩧⪆≴∭⊉23625⪕≴∭⊉12040⨔⇊≴∭⊉4510)⫌⩹⨱","cot":[{"info":"≴∭⊉10210⇷≴∭⊉25123=≴∭⊉53246","layer":3},{"info":"≴∭⊉5015⨳⩥⨓≴∭⊉4656=≴∭⊉-26","layer":3},{"info":"≴∭⊉53246⪟⇏≴∭⊉-26=≴∭⊉0","layer":2},{"info":"≴∭⊉4662⩧⪆≴∭⊉23625=≴∭⊉-23625","layer":3},{"info":"≴∭⊉12040⨔⇊≴∭⊉4510=≴∭⊉4510","layer":3},{"info":"≴∭⊉-23625⪕≴∭⊉4510=≴∭⊉-106","layer":2},{"info":"≴∭⊉0⋷≴∭⊉-106=≴∭⊉0","layer":1},{"info":"≴∭⊉0⫌⩹⨱=≴∭⊉4041","layer":0}]}
+{"id":283,"expression_no_base_symbol":"((($3586$⪑⩈)⩉⊫⨁)⩨$2551$∳⫺$2267$⪕(≋$2760$))⋕⪉⪜(((⨵≀≌$3925$)⪛⫼(⇉-⫰$2716$))⫰⋱(⩎⋉($1132$⨽∌$1415$)))","expression":"(((≴∭⊉13312⪑⩈)⩉⊫⨁)⩨≴∭⊉10303∳⫺≴∭⊉6416⪕(≋≴∭⊉11022))⋕⪉⪜(((⨵≀≌≴∭⊉14305)⪛⫼(⇉-⫰≴∭⊉10630))⫰⋱(⩎⋉(≴∭⊉3205⨽∌≴∭⊉4061)))","highest_n_order":3,"priority_hierarchical_complexity":13,"normalized_expansion_degree":589,"operation_count":13,"complexity_ratio":45.30769230769231,"tree":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⩉⊫⨁","unary_expr":{"type":"unary","operator":"⪑⩈","unary_expr":{"type":"numeric_atoms","value":3586,"base":7}}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":2551,"base":7},"right_expr":{"type":"numeric_atoms","value":2267,"base":7}},"right_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"numeric_atoms","value":2760,"base":7}}}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":3925,"base":7}},"right_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"numeric_atoms","value":2716,"base":7}}},"right_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":1132,"base":7},"right_expr":{"type":"numeric_atoms","value":1415,"base":7}}}}},"used_operators":["z6LnFrNh4i","2DlMacCsIx","7qqUquhhSb","C6VvDP6HwP","umQnsF7QlU","AzXXKTstlj","61wBmkZwlr","6o9Blt3TJ6","hyuBjUqXlG","srAu1WTS94","IGFM8TAlm9","FlXk3pOYe8","9samAPKr6k"],"dependent_operators":["sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","7j4O788W3g","9FxExcQeMw","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","Z2TMIBDE3Q","i8ToyICDmI","eewbuw0ToL","2td37pGCOC","QMFrweE19q","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","7j4O788W3g","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","eH2TOUuTDT","eewbuw0ToL","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu"],"result":"≴∭⊉11112","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3586","layer":4},{"info":"compute unary expreesion, input=3586, op_id = C6VvDP6HwP, unary_op_definition = 'a⪑⩈ = { (((a⫡⨏a)⩚⊴⇥(477⪨≂185))⇼⇔∾(⩦⩻⨪(a∲⫓a))) , if (a⨰851)>=379 ; (((a⩷∴a)⩤)⨰a) , else }', output=26692","layer":3},{"info":"compute unary expreesion, input=26692, op_id = 7qqUquhhSb, unary_op_definition = 'a⩉⊫⨁ = { (331↺a) }', output=26692","layer":2},{"info":"number node, value=2551","layer":4},{"info":"number node, value=2267","layer":4},{"info":"compute binary expreesion, left_input=2551, right_input=2267, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":3},{"info":"number node, value=2760","layer":4},{"info":"compute unary expreesion, input=2760, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=2760","layer":3},{"info":"compute binary expreesion, left_input=-260, right_input=2760, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=-55","layer":2},{"info":"compute binary expreesion, left_input=26692, right_input=-55, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=3","layer":1},{"info":"number node, value=3925","layer":4},{"info":"compute unary expreesion, input=3925, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-11775","layer":3},{"info":"number node, value=2716","layer":4},{"info":"compute unary expreesion, input=2716, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":3},{"info":"compute binary expreesion, left_input=-11775, right_input=20, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":2},{"info":"number node, value=1132","layer":4},{"info":"number node, value=1415","layer":4},{"info":"compute binary expreesion, left_input=1132, right_input=1415, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = FlXk3pOYe8, unary_op_definition = '⩎⋉a = { (((a/a)∲⫓(≛a))∴((a⩨a)⨳⩥⨓(⊄⩳↩a))) , if (a⩇∃⫛268)<=24 or a==244 or (↩⪖a)>=4 ; (((a⨔⇊a)∠↢(↸⊣a))≚⊃≕((≦∁a)⨐461)) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=968, right_input=67, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-935","layer":1},{"info":"compute binary expreesion, left_input=3, right_input=-935, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":0}],"base":7,"result_base":7,"text":"(((≴∭⊉13312⪑⩈)⩉⊫⨁)⩨≴∭⊉10303∳⫺≴∭⊉6416⪕(≋≴∭⊉11022))⋕⪉⪜(((⨵≀≌≴∭⊉14305)⪛⫼(⇉-⫰≴∭⊉10630))⫰⋱(⩎⋉(≴∭⊉3205⨽∌≴∭⊉4061)))=≴∭⊉11112","reverse_text":"≴∭⊉11112=(((≴∭⊉13312⪑⩈)⩉⊫⨁)⩨≴∭⊉10303∳⫺≴∭⊉6416⪕(≋≴∭⊉11022))⋕⪉⪜(((⨵≀≌≴∭⊉14305)⪛⫼(⇉-⫰≴∭⊉10630))⫰⋱(⩎⋉(≴∭⊉3205⨽∌≴∭⊉4061)))","cot":[{"info":"≴∭⊉13312⪑⩈=≴∭⊉140551","layer":3},{"info":"≴∭⊉140551⩉⊫⨁=≴∭⊉140551","layer":2},{"info":"≴∭⊉10303∳⫺≴∭⊉6416=≴∭⊉-521","layer":3},{"info":"≋≴∭⊉11022=≴∭⊉11022","layer":3},{"info":"≴∭⊉-521⪕≴∭⊉11022=≴∭⊉-106","layer":2},{"info":"≴∭⊉140551⩨≴∭⊉-106=≴∭⊉3","layer":1},{"info":"⨵≀≌≴∭⊉14305=≴∭⊉-46221","layer":3},{"info":"⇉-⫰≴∭⊉10630=≴∭⊉26","layer":3},{"info":"≴∭⊉-46221⪛⫼≴∭⊉26=≴∭⊉2552","layer":2},{"info":"≴∭⊉3205⨽∌≴∭⊉4061=≴∭⊉0","layer":3},{"info":"⩎⋉≴∭⊉0=≴∭⊉124","layer":2},{"info":"≴∭⊉2552⫰⋱≴∭⊉124=≴∭⊉-2504","layer":1},{"info":"≴∭⊉3⋕⪉⪜≴∭⊉-2504=≴∭⊉11112","layer":0}]}
+{"id":284,"expression_no_base_symbol":"≛(($2169$⩢≌)⇣⩺⋵($1080$⩘))⪢(⪲⇎$1002$≠≀$5983$)","expression":"≛((≴∭⊉6216⩢≌)⇣⩺⋵(≴∭⊉3102⩘))⪢(⪲⇎≴∭⊉2631≠≀≴∭⊉23305)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3767,"operation_count":7,"complexity_ratio":538.1428571428571,"tree":{"type":"unary","operator":"≛","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"unary","operator":"⩢≌","unary_expr":{"type":"numeric_atoms","value":2169,"base":7}},"right_expr":{"type":"unary","operator":"⩘","unary_expr":{"type":"numeric_atoms","value":1080,"base":7}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":1002,"base":7},"right_expr":{"type":"numeric_atoms","value":5983,"base":7}}}}},"used_operators":["W7eaUhjymW","dWAJyo7jo9","F4yD0voBRQ","D617RFjZIq","wvHyciQT5X","XPYlsWDdGa","IwW236VD4Y"],"dependent_operators":["W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","k8jYdgA6NY","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","hTbEZDJLEm","o20kRiQErp","9ICcGScMcE","dfKe02y8D2","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2169","layer":4},{"info":"compute unary expreesion, input=2169, op_id = D617RFjZIq, unary_op_definition = 'a⩢≌ = { ((a∸)∟) }', output=113","layer":3},{"info":"number node, value=1080","layer":4},{"info":"compute unary expreesion, input=1080, op_id = wvHyciQT5X, unary_op_definition = 'a⩘ = { (≦∁(a⫚↹⊑129)) }', output=67","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=67, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":2},{"info":"number node, value=1002","layer":4},{"info":"number node, value=5983","layer":4},{"info":"compute binary expreesion, left_input=1002, right_input=5983, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-1698","layer":3},{"info":"compute unary expreesion, input=-1698, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-3396","layer":2},{"info":"compute binary expreesion, left_input=-260, right_input=-3396, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = W7eaUhjymW, unary_op_definition = '≛a = { (((a+a)⊉≛↸(a⪠⩆⊳))⊭↱((a⪒a)⩚⊴⇥(a⋝⋈⪟a))) , if (a⫩⊇)>7 or a==273 ; (((a-a)⪒(a⪨≂a))⊉≛↸((a⨰a)⋝⋈⪟(a+a))) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"≛((≴∭⊉6216⩢≌)⇣⩺⋵(≴∭⊉3102⩘))⪢(⪲⇎≴∭⊉2631≠≀≴∭⊉23305)=NaN","reverse_text":"NaN=≛((≴∭⊉6216⩢≌)⇣⩺⋵(≴∭⊉3102⩘))⪢(⪲⇎≴∭⊉2631≠≀≴∭⊉23305)","cot":[{"info":"≴∭⊉6216⩢≌=≴∭⊉221","layer":3},{"info":"≴∭⊉3102⩘=≴∭⊉124","layer":3},{"info":"≴∭⊉221⇣⩺⋵≴∭⊉124=≴∭⊉-521","layer":2},{"info":"≴∭⊉2631≠≀≴∭⊉23305=≴∭⊉-4644","layer":3},{"info":"⪲⇎≴∭⊉-4644=≴∭⊉-12621","layer":2},{"info":"≴∭⊉-521⪢≴∭⊉-12621=NaN","layer":1},{"info":"≛NaN=NaN","layer":0}]}
+{"id":285,"expression_no_base_symbol":"((⇋⊎⋝$2673$)≴⪞⇿($1968$⫔⩽⩺$5392$)∝(⇘(⨦⪝$3649$)))⩧⪆(⋣((↯⪼$4400$)≦≮≮))","expression":"((⇋⊎⋝≴∭⊉10536)≴⪞⇿(≴∭⊉5511⫔⩽⩺≴∭⊉21502)∝(⇘(⨦⪝≴∭⊉13432)))⩧⪆(⋣((↯⪼≴∭⊉15554)≦≮≮))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":6712,"operation_count":10,"complexity_ratio":671.2,"tree":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"numeric_atoms","value":2673,"base":7}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":1968,"base":7},"right_expr":{"type":"numeric_atoms","value":5392,"base":7}}},"right_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"numeric_atoms","value":3649,"base":7}}}},"right_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"unary","operator":"��≮≮","unary_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":4400,"base":7}}}}},"used_operators":["Ikt5ks8PT7","cTDWOvIxvz","lvlrscuwVU","CzM2PEoXns","i9eR4S00cU","MGuIdZPyUC","SUjycxNXIR","zQWRhDnn8F","D4vGDi5EA2","8jW3W4yZS5"],"dependent_operators":["eewbuw0ToL","t8gj7n24qd","7j4O788W3g","W4YGzv6Whe","COABgblf1C","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","dWAJyo7jo9","Tw270M8GLb","fu6greOZ01","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"≴∭⊉104503","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2673","layer":4},{"info":"compute unary expreesion, input=2673, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":3},{"info":"number node, value=1968","layer":4},{"info":"number node, value=5392","layer":4},{"info":"compute binary expreesion, left_input=1968, right_input=5392, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=nan","layer":2},{"info":"number node, value=3649","layer":4},{"info":"compute unary expreesion, input=3649, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":3},{"info":"compute unary expreesion, input=-1884, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=-120680785","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-120680785, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=nan","layer":1},{"info":"number node, value=4400","layer":4},{"info":"compute unary expreesion, input=4400, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"compute unary expreesion, input=-21, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=63","layer":2},{"info":"compute unary expreesion, input=63, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-18427","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-18427, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=18427","layer":0}],"base":7,"result_base":7,"text":"((⇋⊎⋝≴∭⊉10536)≴⪞⇿(≴∭⊉5511⫔⩽⩺≴∭⊉21502)∝(⇘(⨦⪝≴∭⊉13432)))⩧⪆(⋣((↯⪼≴∭⊉15554)≦≮≮))=≴∭⊉104503","reverse_text":"≴∭⊉104503=((⇋⊎⋝≴∭⊉10536)≴⪞⇿(≴∭⊉5511⫔⩽⩺≴∭⊉21502)∝(⇘(⨦⪝≴∭⊉13432)))⩧⪆(⋣((↯⪼≴∭⊉15554)≦≮≮))","cot":[{"info":"⇋⊎⋝≴∭⊉10536=NaN","layer":3},{"info":"≴∭⊉5511⫔⩽⩺≴∭⊉21502=NaN","layer":3},{"info":"NaN≴⪞⇿NaN=NaN","layer":2},{"info":"⨦⪝≴∭⊉13432=≴∭⊉-5331","layer":3},{"info":"⇘≴∭⊉-5331=≴∭⊉-2663525011","layer":2},{"info":"NaN∝≴∭⊉-2663525011=NaN","layer":1},{"info":"↯⪼≴∭⊉15554=≴∭⊉-30","layer":3},{"info":"≴∭⊉-30≦≮≮=≴∭⊉120","layer":2},{"info":"⋣≴∭⊉120=≴∭⊉-104503","layer":1},{"info":"NaN⩧⪆≴∭⊉-104503=≴∭⊉104503","layer":0}]}
+{"id":286,"expression_no_base_symbol":"(($5990$≠≀$5549$)↞⋁($2287$⇤$6382$))⪬(($4295$⪗)⨪↰⇹($8121$⫲≸⪮$1719$))⫞⩸⩒(($2551$⫥∨⫟$1374$)⪃⊛⇣($4830$↡⊰⫅$2927$)≦↸(∤↝(≋$4428$)))","expression":"((≴∭⊉23315≠≀≴∭⊉22115)↞⋁(≴∭⊉6445⇤≴∭⊉24415))⪬((≴∭⊉15344⪗)⨪↰⇹(≴∭⊉32451⫲≸⪮≴∭⊉5004))⫞⩸⩒((≴∭⊉10303⫥∨⫟≴∭⊉4002)⪃⊛⇣(≴∭⊉20040↡⊰⫅≴∭⊉11351)≦↸(∤↝(≋≴∭⊉15624)))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":54761,"operation_count":14,"complexity_ratio":3911.5,"tree":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":5990,"base":7},"right_expr":{"type":"numeric_atoms","value":5549,"base":7}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":2287,"base":7},"right_expr":{"type":"numeric_atoms","value":6382,"base":7}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⪗","unary_expr":{"type":"numeric_atoms","value":4295,"base":7}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":8121,"base":7},"right_expr":{"type":"numeric_atoms","value":1719,"base":7}}}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2551,"base":7},"right_expr":{"type":"numeric_atoms","value":1374,"base":7}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":4830,"base":7},"right_expr":{"type":"numeric_atoms","value":2927,"base":7}}},"right_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"numeric_atoms","value":4428,"base":7}}}}},"used_operators":["XGcMNugi78","Ez1Nq5fNfI","RqrPlJkxDo","IwW236VD4Y","YSKBFp38Pu","tmPS8pqC7x","VEQNXA0ZBg","P3lXMJvFrc","RygbFNSyEJ","rrgAzCduG9","KYD54nUTWz","VCtxkLNOzz","3UMq87Qwqg","61wBmkZwlr"],"dependent_operators":["VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","rJVOvQCfKK","dWAJyo7jo9","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","8HhzD0ZcuI","rGHVDoGpnC","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","7j4O788W3g"],"result":"≴∭⊉3412","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5990","layer":4},{"info":"number node, value=5549","layer":4},{"info":"compute binary expreesion, left_input=5990, right_input=5549, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-11674","layer":3},{"info":"number node, value=2287","layer":4},{"info":"number node, value=6382","layer":4},{"info":"compute binary expreesion, left_input=2287, right_input=6382, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-40497","layer":3},{"info":"compute binary expreesion, left_input=-11674, right_input=-40497, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=-11674","layer":2},{"info":"number node, value=4295","layer":4},{"info":"compute unary expreesion, input=4295, op_id = VEQNXA0ZBg, unary_op_definition = 'a⪗ = { (a⪢a) }', output=nan","layer":3},{"info":"number node, value=8121","layer":4},{"info":"number node, value=1719","layer":4},{"info":"compute binary expreesion, left_input=8121, right_input=1719, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=8121","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=8121, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-11674, right_input=nan, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":1},{"info":"number node, value=2551","layer":4},{"info":"number node, value=1374","layer":4},{"info":"compute binary expreesion, left_input=2551, right_input=1374, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=4830","layer":4},{"info":"number node, value=2927","layer":4},{"info":"compute binary expreesion, left_input=4830, right_input=2927, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=5854","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5854, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":2},{"info":"number node, value=4428","layer":4},{"info":"compute unary expreesion, input=4428, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=4428","layer":3},{"info":"compute unary expreesion, input=4428, op_id = 3UMq87Qwqg, unary_op_definition = '∤↝a = { a , if ((a⊬⨰244)<=56 or (⫇a)>308 or (a⨐673)<=60) ; (((↩⪖a)⩼⇪↪(57∝206))↺(↩(⊲⪭a))) , else }', output=4428","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=4428, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-10643","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=-10643, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=1234","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉23315≠≀≴∭⊉22115)↞⋁(≴∭⊉6445⇤≴∭⊉24415))⪬((≴∭⊉15344⪗)⨪↰⇹(≴∭⊉32451⫲≸⪮≴∭⊉5004))⫞⩸⩒((≴∭⊉10303⫥∨⫟≴∭⊉4002)⪃⊛⇣(≴∭⊉20040↡⊰⫅≴∭⊉11351)≦↸(∤↝(≋≴∭⊉15624)))=≴∭⊉3412","reverse_text":"≴∭⊉3412=((≴∭⊉23315≠≀≴∭⊉22115)↞⋁(≴∭⊉6445⇤≴∭⊉24415))⪬((≴∭⊉15344⪗)⨪↰⇹(≴∭⊉32451⫲≸⪮≴∭⊉5004))⫞⩸⩒((≴∭⊉10303⫥∨⫟≴∭⊉4002)⪃⊛⇣(≴∭⊉20040↡⊰⫅≴∭⊉11351)≦↸(∤↝(≋≴∭⊉15624)))","cot":[{"info":"≴∭⊉23315≠≀≴∭⊉22115=≴∭⊉-46015","layer":3},{"info":"≴∭⊉6445⇤≴∭⊉24415=≴∭⊉-226032","layer":3},{"info":"≴∭⊉-46015↞⋁≴∭⊉-226032=≴∭⊉-46015","layer":2},{"info":"≴∭⊉15344⪗=NaN","layer":3},{"info":"≴∭⊉32451⫲≸⪮≴∭⊉5004=≴∭⊉32451","layer":3},{"info":"NaN⨪↰⇹≴∭⊉32451=NaN","layer":2},{"info":"≴∭⊉-46015⪬NaN=≴∭⊉3412","layer":1},{"info":"≴∭⊉10303⫥∨⫟≴∭⊉4002=NaN","layer":3},{"info":"≴∭⊉20040↡⊰⫅≴∭⊉11351=≴∭⊉23032","layer":3},{"info":"NaN⪃⊛⇣≴∭⊉23032=≴∭⊉3412","layer":2},{"info":"≋≴∭⊉15624=≴∭⊉15624","layer":3},{"info":"∤↝≴∭⊉15624=≴∭⊉15624","layer":2},{"info":"≴∭⊉3412≦↸≴∭⊉15624=≴∭⊉-43013","layer":1},{"info":"≴∭⊉3412⫞⩸⩒≴∭⊉-43013=≴∭⊉3412","layer":0}]}
+{"id":287,"expression_no_base_symbol":"((≪($3278$∠⫱$4126$))⨵⪆$5238$∀⇚≩$4831$↸$1364$⩘$1126$)⫠↝⫳","expression":"((≪(≴∭⊉12362∠⫱≴∭⊉15013))⨵⪆≴∭⊉21162∀⇚≩≴∭⊉20041↸≴∭⊉3656⩘≴∭⊉3166)⫠↝⫳","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":36836,"operation_count":7,"complexity_ratio":5262.285714285715,"tree":{"type":"unary","operator":"⫠↝⫳","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":3278,"base":7},"right_expr":{"type":"numeric_atoms","value":4126,"base":7}}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":5238,"base":7},"right_expr":{"type":"numeric_atoms","value":4831,"base":7}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":1364,"base":7},"right_expr":{"type":"numeric_atoms","value":1126,"base":7}}}}},"used_operators":["8n5YIzOsVS","2DQ55sFlQl","Qtd6bqUJcN","QvoQhV0rrE","1eCjFl0mb9","LRNGc0VcxI","cHh1gJQ2o6"],"dependent_operators":["9FxExcQeMw","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","X99M06cbEe","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o"],"result":"≴∭⊉22513","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3278","layer":4},{"info":"number node, value=4126","layer":4},{"info":"compute binary expreesion, left_input=3278, right_input=4126, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":2},{"info":"number node, value=5238","layer":4},{"info":"number node, value=4831","layer":4},{"info":"compute binary expreesion, left_input=5238, right_input=4831, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1364","layer":4},{"info":"number node, value=1126","layer":4},{"info":"compute binary expreesion, left_input=1364, right_input=1126, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=913, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"compute unary expreesion, input=160, op_id = 8n5YIzOsVS, unary_op_definition = 'a⫠↝⫳ = { (((a⨸⪁a)⩷∴(⩦⩻⨪a))⫡⨏a) }', output=5743","layer":0}],"base":7,"result_base":7,"text":"((≪(≴∭⊉12362∠⫱≴∭⊉15013))⨵⪆≴∭⊉21162∀⇚≩≴∭⊉20041↸≴∭⊉3656⩘≴∭⊉3166)⫠↝⫳=≴∭⊉22513","reverse_text":"≴∭⊉22513=((≪(≴∭⊉12362∠⫱≴∭⊉15013))⨵⪆≴∭⊉21162∀⇚≩≴∭⊉20041↸≴∭⊉3656⩘≴∭⊉3166)⫠↝⫳","cot":[{"info":"≴∭⊉12362∠⫱≴∭⊉15013=≴∭⊉3412","layer":3},{"info":"≪≴∭⊉3412=≴∭⊉2443","layer":2},{"info":"≴∭⊉21162∀⇚≩≴∭⊉20041=NaN","layer":3},{"info":"≴∭⊉3656⩘≴∭⊉3166=≴∭⊉316","layer":3},{"info":"NaN↸≴∭⊉316=NaN","layer":2},{"info":"≴∭⊉2443⨵⪆NaN=≴∭⊉316","layer":1},{"info":"≴∭⊉316⫠↝⫳=≴∭⊉22513","layer":0}]}
+{"id":288,"expression_no_base_symbol":"($3748$⫁$4288$⋭≵$1415$∠⫱$4805$)⊱⇼⊻($5551$∼$2812$⊍⩺⋍$1299$∳⫺$1587$)⨚($2228$∇⊂⋱$1121$⪢($7078$⊹∫⫚$2645$)⪕($3745$⪡$1745$)⊕∕($1055$⪟⇏$1817$))","expression":"(≴∭⊉13633⫁≴∭⊉15334⋭≵≴∭⊉4061∠⫱≴∭⊉20003)⊱⇼⊻(≴∭⊉22120∼≴∭⊉11125⊍⩺⋍≴∭⊉3534∳⫺≴∭⊉4425)⨚(≴∭⊉6332∇⊂⋱≴∭⊉3161⪢(≴∭⊉26431⊹∫⫚≴∭⊉10466)⪕(≴∭⊉13630⪡≴∭⊉5042)⊕∕(≴∭⊉3035⪟⇏≴∭⊉5204))","highest_n_order":5,"priority_hierarchical_complexity":14,"normalized_expansion_degree":1170,"operation_count":15,"complexity_ratio":78.0,"tree":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":3748,"base":7},"right_expr":{"type":"numeric_atoms","value":4288,"base":7}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":1415,"base":7},"right_expr":{"type":"numeric_atoms","value":4805,"base":7}}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":5551,"base":7},"right_expr":{"type":"numeric_atoms","value":2812,"base":7}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":1299,"base":7},"right_expr":{"type":"numeric_atoms","value":1587,"base":7}}}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":2228,"base":7},"right_expr":{"type":"numeric_atoms","value":1121,"base":7}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":7078,"base":7},"right_expr":{"type":"numeric_atoms","value":2645,"base":7}}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":3745,"base":7},"right_expr":{"type":"numeric_atoms","value":1745,"base":7}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":1055,"base":7},"right_expr":{"type":"numeric_atoms","value":1817,"base":7}}}}},"used_operators":["nREPSIbpBE","FyVja0WsTP","jBncVCNhdl","0ajvFaJAv0","QvoQhV0rrE","OXDGMFPWZM","DyGG3AbaNP","AzXXKTstlj","umQnsF7QlU","dWAJyo7jo9","nhYeJWJD5X","uWAJUKEvyW","9cloC0Ngie","oraRL2iQuh","GODebY97qR"],"dependent_operators":["BjRHVeLaeN","12rbrZMWeM","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","cHh1gJQ2o6","AHs5Up7iyr","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","k8jYdgA6NY","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3748","layer":4},{"info":"number node, value=4288","layer":4},{"info":"compute binary expreesion, left_input=3748, right_input=4288, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"number node, value=1415","layer":4},{"info":"number node, value=4805","layer":4},{"info":"compute binary expreesion, left_input=1415, right_input=4805, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=1234, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=-75","layer":2},{"info":"number node, value=5551","layer":4},{"info":"number node, value=2812","layer":4},{"info":"compute binary expreesion, left_input=5551, right_input=2812, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"number node, value=1299","layer":4},{"info":"number node, value=1587","layer":4},{"info":"compute binary expreesion, left_input=1299, right_input=1587, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-260, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-75, right_input=nan, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=504","layer":1},{"info":"number node, value=2228","layer":4},{"info":"number node, value=1121","layer":4},{"info":"compute binary expreesion, left_input=2228, right_input=1121, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=3910","layer":3},{"info":"number node, value=7078","layer":4},{"info":"number node, value=2645","layer":4},{"info":"compute binary expreesion, left_input=7078, right_input=2645, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-112","layer":3},{"info":"compute binary expreesion, left_input=3910, right_input=-112, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"number node, value=3745","layer":4},{"info":"number node, value=1745","layer":4},{"info":"compute binary expreesion, left_input=3745, right_input=1745, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"number node, value=1055","layer":4},{"info":"number node, value=1817","layer":4},{"info":"compute binary expreesion, left_input=1055, right_input=1817, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=107, right_input=-1, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=107","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=107, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=504, right_input=nan, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉13633⫁≴∭⊉15334⋭≵≴∭⊉4061∠⫱≴∭⊉20003)⊱⇼⊻(≴∭⊉22120∼≴∭⊉11125⊍⩺⋍≴∭⊉3534∳⫺≴∭⊉4425)⨚(≴∭⊉6332∇⊂⋱≴∭⊉3161⪢(≴∭⊉26431⊹∫⫚≴∭⊉10466)⪕(≴∭⊉13630⪡≴∭⊉5042)⊕∕(≴∭⊉3035⪟⇏≴∭⊉5204))=NaN","reverse_text":"NaN=(≴∭⊉13633⫁≴∭⊉15334⋭≵≴∭⊉4061∠⫱≴∭⊉20003)⊱⇼⊻(≴∭⊉22120∼≴∭⊉11125⊍⩺⋍≴∭⊉3534∳⫺≴∭⊉4425)⨚(≴∭⊉6332∇⊂⋱≴∭⊉3161⪢(≴∭⊉26431⊹∫⫚≴∭⊉10466)⪕(≴∭⊉13630⪡≴∭⊉5042)⊕∕(≴∭⊉3035⪟⇏≴∭⊉5204))","cot":[{"info":"≴∭⊉13633⫁≴∭⊉15334=≴∭⊉316","layer":3},{"info":"≴∭⊉4061∠⫱≴∭⊉20003=≴∭⊉3412","layer":3},{"info":"≴∭⊉316⋭≵≴∭⊉3412=≴∭⊉-135","layer":2},{"info":"≴∭⊉22120∼≴∭⊉11125=NaN","layer":3},{"info":"≴∭⊉3534∳⫺≴∭⊉4425=≴∭⊉-521","layer":3},{"info":"NaN⊍⩺⋍≴∭⊉-521=NaN","layer":2},{"info":"≴∭⊉-135⊱⇼⊻NaN=≴∭⊉1320","layer":1},{"info":"≴∭⊉6332∇⊂⋱≴∭⊉3161=≴∭⊉14254","layer":3},{"info":"≴∭⊉26431⊹∫⫚≴∭⊉10466=≴∭⊉-220","layer":3},{"info":"≴∭⊉14254⪢≴∭⊉-220=NaN","layer":2},{"info":"≴∭⊉13630⪡≴∭⊉5042=≴∭⊉212","layer":3},{"info":"≴∭⊉3035⪟⇏≴∭⊉5204=≴∭⊉-1","layer":3},{"info":"≴∭⊉212⊕∕≴∭⊉-1=≴∭⊉212","layer":2},{"info":"NaN⪕≴∭⊉212=NaN","layer":1},{"info":"≴∭⊉1320⨚NaN=NaN","layer":0}]}
+{"id":289,"expression_no_base_symbol":"(($2740$⊭↱$3723$)↤⩊(≇⪴$1352$)⇍⊗($1972$∛$6600$∕⩚$5053$⨸$5150$))⊱⇼⊻($3618$⩼⇪↪$2357$⇗⋫)⪝($2025$⊢$1481$⊝⪿⪼(⇘$1000$))","expression":"((≴∭⊉10663⊭↱≴∭⊉13566)↤⩊(≇⪴≴∭⊉3641)⇍⊗(≴∭⊉5515∛≴∭⊉25146∕⩚≴∭⊉20506⨸≴∭⊉21005))⊱⇼⊻(≴∭⊉13356⩼⇪↪≴∭⊉6605⇗⋫)⪝(≴∭⊉5622⊢≴∭⊉4214⊝⪿⪼(⇘≴∭⊉2626))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":8697,"operation_count":14,"complexity_ratio":621.2142857142857,"tree":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2740,"base":7},"right_expr":{"type":"numeric_atoms","value":3723,"base":7}},"right_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"numeric_atoms","value":1352,"base":7}}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":1972,"base":7},"right_expr":{"type":"numeric_atoms","value":6600,"base":7}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":5053,"base":7},"right_expr":{"type":"numeric_atoms","value":5150,"base":7}}}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"unary","operator":"⇗⋫","unary_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":3618,"base":7},"right_expr":{"type":"numeric_atoms","value":2357,"base":7}}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":2025,"base":7},"right_expr":{"type":"numeric_atoms","value":1481,"base":7}},"right_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"numeric_atoms","value":1000,"base":7}}}}},"used_operators":["FyVja0WsTP","5uvYHDjeKN","13rbtpv6ld","COABgblf1C","zoVPnxeHJ3","z9ffQ9n5Zr","w2537kitQq","KmoU8R5UQR","wicAB68Tmb","hpqmaQFPrd","ocnLzx9CaJ","3Oe9XWJUTD","5twsqlHp2o","MGuIdZPyUC"],"dependent_operators":["W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","rxpJgHHUmx","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X"],"result":"≴∭⊉3304","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2740","layer":4},{"info":"number node, value=3723","layer":4},{"info":"compute binary expreesion, left_input=2740, right_input=3723, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=1971","layer":3},{"info":"number node, value=1352","layer":4},{"info":"compute unary expreesion, input=1352, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-2716","layer":3},{"info":"compute binary expreesion, left_input=1971, right_input=-2716, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":2},{"info":"number node, value=1972","layer":4},{"info":"number node, value=6600","layer":4},{"info":"compute binary expreesion, left_input=1972, right_input=6600, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"number node, value=5053","layer":4},{"info":"number node, value=5150","layer":4},{"info":"compute binary expreesion, left_input=5053, right_input=5150, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=10106","layer":3},{"info":"compute binary expreesion, left_input=-670, right_input=10106, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=667","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=667, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":1},{"info":"number node, value=3618","layer":4},{"info":"number node, value=2357","layer":4},{"info":"compute binary expreesion, left_input=3618, right_input=2357, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-10046","layer":3},{"info":"compute unary expreesion, input=-10046, op_id = hpqmaQFPrd, unary_op_definition = 'a⇗⋫ = { (a≭a) }', output=nan","layer":2},{"info":"number node, value=2025","layer":4},{"info":"number node, value=1481","layer":4},{"info":"compute binary expreesion, left_input=2025, right_input=1481, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-4294","layer":3},{"info":"number node, value=1000","layer":4},{"info":"compute unary expreesion, input=1000, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=54382","layer":3},{"info":"compute binary expreesion, left_input=-4294, right_input=54382, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=-54478","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-54478, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-244, right_input=nan, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=1180","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉10663⊭↱≴∭⊉13566)↤⩊(≇⪴≴∭⊉3641)⇍⊗(≴∭⊉5515∛≴∭⊉25146∕⩚≴∭⊉20506⨸≴∭⊉21005))⊱⇼⊻(≴∭⊉13356⩼⇪↪≴∭⊉6605⇗⋫)⪝(≴∭⊉5622⊢≴∭⊉4214⊝⪿⪼(⇘≴∭⊉2626))=≴∭⊉3304","reverse_text":"≴∭⊉3304=((≴∭⊉10663⊭↱≴∭⊉13566)↤⩊(≇⪴≴∭⊉3641)⇍⊗(≴∭⊉5515∛≴∭⊉25146∕⩚≴∭⊉20506⨸≴∭⊉21005))⊱⇼⊻(≴∭⊉13356⩼⇪↪≴∭⊉6605⇗⋫)⪝(≴∭⊉5622⊢≴∭⊉4214⊝⪿⪼(⇘≴∭⊉2626))","cot":[{"info":"≴∭⊉10663⊭↱≴∭⊉13566=≴∭⊉5514","layer":3},{"info":"≇⪴≴∭⊉3641=≴∭⊉-10630","layer":3},{"info":"≴∭⊉5514↤⩊≴∭⊉-10630=NaN","layer":2},{"info":"≴∭⊉5515∛≴∭⊉25146=≴∭⊉-1645","layer":3},{"info":"≴∭⊉20506⨸≴∭⊉21005=≴∭⊉41315","layer":3},{"info":"≴∭⊉-1645∕⩚≴∭⊉41315=≴∭⊉1642","layer":2},{"info":"NaN⇍⊗≴∭⊉1642=≴∭⊉-466","layer":1},{"info":"≴∭⊉13356⩼⇪↪≴∭⊉6605=≴∭⊉-41201","layer":3},{"info":"≴∭⊉-41201⇗⋫=NaN","layer":2},{"info":"≴∭⊉5622⊢≴∭⊉4214=≴∭⊉-15343","layer":3},{"info":"⇘≴∭⊉2626=≴∭⊉314356","layer":3},{"info":"≴∭⊉-15343⊝⪿⪼≴∭⊉314356=≴∭⊉-314554","layer":2},{"info":"NaN⪝≴∭⊉-314554=NaN","layer":1},{"info":"≴∭⊉-466⊱⇼⊻NaN=≴∭⊉3304","layer":0}]}
+{"id":290,"expression_no_base_symbol":"(⊤⊝(⨑⩽⪐$2403$))≦↸(⪁⇼($5803$⨀⨒))⪔($4360$⪟⇏$2199$∛$2307$∘$3545$⋘⨑⨽)","expression":"(⊤⊝(⨑⩽⪐≴∭⊉10002))≦↸(⪁⇼(≴∭⊉22630⨀⨒))⪔(≴∭⊉15466⪟⇏≴∭⊉6261∛≴∭⊉6504∘≴∭⊉13223⋘⨑⨽)","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2912,"operation_count":10,"complexity_ratio":291.2,"tree":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":2403,"base":7}}},"right_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"unary","operator":"⨀⨒","unary_expr":{"type":"numeric_atoms","value":5803,"base":7}}}},"right_expr":{"type":"unary","operator":"⋘⨑⨽","unary_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":4360,"base":7},"right_expr":{"type":"numeric_atoms","value":2199,"base":7}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":2307,"base":7},"right_expr":{"type":"numeric_atoms","value":3545,"base":7}}}}},"used_operators":["GjBEYRfMaF","RygbFNSyEJ","rXAclfmB4M","AF7qkfDlqP","ZNVVrZ94lY","j6NVkjMzuk","WmT3o8z6ya","w2537kitQq","GODebY97qR","Z5m6OM72h2"],"dependent_operators":["YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","sdazOOVcIp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","E4l6HwMY31","Ikt5ks8PT7","HmxsFra2vL","oacrs7FA3X","W4YGzv6Whe","DpFCA1CohY","N41Kp7NANJ","8w2t5hMYqp","QMFrweE19q","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","eH2TOUuTDT","rysDP5nf3Z"],"result":"≴∭⊉1212","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2403","layer":4},{"info":"compute unary expreesion, input=2403, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-2130","layer":3},{"info":"compute unary expreesion, input=-2130, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=-5558","layer":2},{"info":"number node, value=5803","layer":4},{"info":"compute unary expreesion, input=5803, op_id = j6NVkjMzuk, unary_op_definition = 'a⨀⨒ = { ((a⪘⫢a)⊔(a⪘⫢a)) , if a!=184 ; ((a⩧⪆a)∙∹∝a) , else }', output=77974","layer":3},{"info":"compute unary expreesion, input=77974, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":2},{"info":"compute binary expreesion, left_input=-5558, right_input=422, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=10953","layer":1},{"info":"number node, value=4360","layer":4},{"info":"number node, value=2199","layer":4},{"info":"compute binary expreesion, left_input=4360, right_input=2199, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"number node, value=2307","layer":4},{"info":"number node, value=3545","layer":4},{"info":"compute binary expreesion, left_input=2307, right_input=3545, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=4614","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=4614, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-676","layer":2},{"info":"compute unary expreesion, input=-676, op_id = WmT3o8z6ya, unary_op_definition = 'a⋘⨑⨽ = { ((a⫡⨏a)+(a≋⫹)) , if (⊄⩳↩a)!=44 ; (⋗⩬⋾(394+a)) , else }', output=-2597","layer":1},{"info":"compute binary expreesion, left_input=10953, right_input=-2597, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":0}],"base":7,"result_base":7,"text":"(⊤⊝(⨑⩽⪐≴∭⊉10002))≦↸(⪁⇼(≴∭⊉22630⨀⨒))⪔(≴∭⊉15466⪟⇏≴∭⊉6261∛≴∭⊉6504∘≴∭⊉13223⋘⨑⨽)=≴∭⊉1212","reverse_text":"≴∭⊉1212=(⊤⊝(⨑⩽⪐≴∭⊉10002))≦↸(⪁⇼(≴∭⊉22630⨀⨒))⪔(≴∭⊉15466⪟⇏≴∭⊉6261∛≴∭⊉6504∘≴∭⊉13223⋘⨑⨽)","cot":[{"info":"⨑⩽⪐≴∭⊉10002=≴∭⊉-6132","layer":3},{"info":"⊤⊝≴∭⊉-6132=≴∭⊉-22130","layer":2},{"info":"≴∭⊉22630⨀⨒=≴∭⊉443221","layer":3},{"info":"⪁⇼≴∭⊉443221=≴∭⊉1142","layer":2},{"info":"≴∭⊉-22130≦↸≴∭⊉1142=≴∭⊉43635","layer":1},{"info":"≴∭⊉15466⪟⇏≴∭⊉6261=≴∭⊉-1","layer":3},{"info":"≴∭⊉6504∘≴∭⊉13223=≴∭⊉16311","layer":3},{"info":"≴∭⊉-1∛≴∭⊉16311=≴∭⊉-1654","layer":2},{"info":"≴∭⊉-1654⋘⨑⨽=≴∭⊉-10400","layer":1},{"info":"≴∭⊉43635⪔≴∭⊉-10400=≴∭⊉1212","layer":0}]}
+{"id":291,"expression_no_base_symbol":"∮((≸≮$1202$)⪟⇏($4770$⇍⊗$1281$)⊟⇱)","expression":"∮((≸≮≴∭⊉3335)⪟⇏(≴∭⊉16623⇍⊗≴∭⊉3510)⊟⇱)","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":10033,"operation_count":5,"complexity_ratio":2006.6,"tree":{"type":"unary","operator":"∮","unary_expr":{"type":"unary","operator":"⊟⇱","unary_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"numeric_atoms","value":1202,"base":7}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":4770,"base":7},"right_expr":{"type":"numeric_atoms","value":1281,"base":7}}}}},"used_operators":["CqXKPLVYql","03sUfWo75k","GODebY97qR","AljMvE3RRm","5uvYHDjeKN"],"dependent_operators":["2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","IWmyXbctLI","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1202","layer":4},{"info":"compute unary expreesion, input=1202, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=nan","layer":3},{"info":"number node, value=4770","layer":4},{"info":"number node, value=1281","layer":4},{"info":"compute binary expreesion, left_input=4770, right_input=1281, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-244, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = 03sUfWo75k, unary_op_definition = 'a⊟⇱ = { (a⪮%⊝a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"∮((≸≮≴∭⊉3335)⪟⇏(≴∭⊉16623⇍⊗≴∭⊉3510)⊟⇱)=NaN","reverse_text":"NaN=∮((≸≮≴∭⊉3335)⪟⇏(≴∭⊉16623⇍⊗≴∭⊉3510)⊟⇱)","cot":[{"info":"≸≮≴∭⊉3335=NaN","layer":3},{"info":"≴∭⊉16623⇍⊗≴∭⊉3510=≴∭⊉-466","layer":3},{"info":"NaN⪟⇏≴∭⊉-466=≴∭⊉0","layer":2},{"info":"≴∭⊉0⊟⇱=NaN","layer":1},{"info":"∮NaN=NaN","layer":0}]}
+{"id":292,"expression_no_base_symbol":"(⩰(⨵$3419$)⪭≯$5332$⨓$5784$)⪄((⩪∧⨌$1764$)⪄($1326$⊵↤))≀⩗∶($1593$*$1888$)⇮⋭$1924$⨽$2811$","expression":"(⩰(⨵≴∭⊉12653)⪭≯≴∭⊉21355⨓≴∭⊉22602)⪄((⩪∧⨌≴∭⊉5100)⪄(≴∭⊉3603⊵↤))≀⩗∶(≴∭⊉4434*≴∭⊉5335)⇮⋭≴∭⊉5416⨽≴∭⊉11124","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":16705,"operation_count":12,"complexity_ratio":1392.0833333333333,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"numeric_atoms","value":3419,"base":7}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":5332,"base":7},"right_expr":{"type":"numeric_atoms","value":5784,"base":7}}}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"numeric_atoms","value":1764,"base":7}},"right_expr":{"type":"unary","operator":"⊵↤","unary_expr":{"type":"numeric_atoms","value":1326,"base":7}}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1593,"base":7},"right_expr":{"type":"numeric_atoms","value":1888,"base":7}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1924,"base":7},"right_expr":{"type":"numeric_atoms","value":2811,"base":7}}}}},"used_operators":["SUmda5xLS4","WkeUrDK8WX","XAx5wpdLa6","Tl3Y52tvF8","3ViojmjbAp","8INZBEW696","6iOiAJX1F8","7IPrd9c3lf","vkpjKywKVM","9HNa5Wba9A","8HhzD0ZcuI"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","eLAdDNolq6","W4YGzv6Whe","9FxExcQeMw","Qy55tPpLXF","BjRHVeLaeN","tifHPKVTfV","2DDjHMKMc0","f6k1SAg4EE","Z2TMIBDE3Q","eewbuw0ToL","QMFrweE19q","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","W4YGzv6Whe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"≴∭⊉14413","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3419","layer":4},{"info":"compute unary expreesion, input=3419, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=-28561","layer":3},{"info":"number node, value=5332","layer":4},{"info":"number node, value=5784","layer":4},{"info":"compute binary expreesion, left_input=5332, right_input=5784, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-5787","layer":3},{"info":"compute binary expreesion, left_input=-28561, right_input=-5787, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=nan","layer":1},{"info":"number node, value=1764","layer":4},{"info":"compute unary expreesion, input=1764, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=17640","layer":3},{"info":"number node, value=1326","layer":4},{"info":"compute unary expreesion, input=1326, op_id = 7IPrd9c3lf, unary_op_definition = 'a⊵↤ = { (((a⪒a)+a)⇼⇔∾((a⫡⨏a)⩤)) , if (a!=425 and (≤/a)>523) ; (((a⫩⊇)⨰(a⋥≓≎a))⋥≓≎((a⩷∴a)⋝⋈⪟(a⩷∴a))) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=17640, right_input=67, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-2607077","layer":2},{"info":"number node, value=1593","layer":4},{"info":"number node, value=1888","layer":4},{"info":"compute binary expreesion, left_input=1593, right_input=1888, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=3007584","layer":3},{"info":"number node, value=1924","layer":4},{"info":"number node, value=2811","layer":4},{"info":"compute binary expreesion, left_input=1924, right_input=2811, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-11112447","layer":3},{"info":"compute binary expreesion, left_input=3007584, right_input=-11112447, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":2},{"info":"compute binary expreesion, left_input=-2607077, right_input=67, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=3","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=3, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":0}],"base":7,"result_base":7,"text":"(⩰(⨵≴∭⊉12653)⪭≯≴∭⊉21355⨓≴∭⊉22602)⪄((⩪∧⨌≴∭⊉5100)⪄(≴∭⊉3603⊵↤))≀⩗∶(≴∭⊉4434*≴∭⊉5335)⇮⋭≴∭⊉5416⨽≴∭⊉11124=≴∭⊉14413","reverse_text":"≴∭⊉14413=(⩰(⨵≴∭⊉12653)⪭≯≴∭⊉21355⨓≴∭⊉22602)⪄((⩪∧⨌≴∭⊉5100)⪄(≴∭⊉3603⊵↤))≀⩗∶(≴∭⊉4434*≴∭⊉5335)⇮⋭≴∭⊉5416⨽≴∭⊉11124","cot":[{"info":"⨵≴∭⊉12653=≴∭⊉-146161","layer":3},{"info":"≴∭⊉21355⨓≴∭⊉22602=≴∭⊉-22605","layer":3},{"info":"≴∭⊉-146161⪭≯≴∭⊉-22605=NaN","layer":2},{"info":"⩰NaN=NaN","layer":1},{"info":"⩪∧⨌≴∭⊉5100=≴∭⊉102300","layer":3},{"info":"≴∭⊉3603⊵↤=≴∭⊉124","layer":3},{"info":"≴∭⊉102300⪄≴∭⊉124=≴∭⊉-31105544","layer":2},{"info":"≴∭⊉4434*≴∭⊉5335=≴∭⊉34364316","layer":3},{"info":"≴∭⊉5416⨽≴∭⊉11124=≴∭⊉-163311543","layer":3},{"info":"≴∭⊉34364316⇮⋭≴∭⊉-163311543=≴∭⊉124","layer":2},{"info":"≴∭⊉-31105544≀⩗∶≴∭⊉124=≴∭⊉3","layer":1},{"info":"NaN⪄≴∭⊉3=≴∭⊉14413","layer":0}]}
+{"id":293,"expression_no_base_symbol":"$1896$⩘$1890$⇴($1211$⨵⪆$7000$)⇴∐($4620$∇⊂⋱$4880$)⩖⊿($2810$⫲⨊)∷((⇁⨣⪵$2297$⨟⋌⩍$1083$)⫩⊇)","expression":"≴∭⊉5346⩘≴∭⊉5340⇴(≴∭⊉3350⨵⪆≴∭⊉26260)⇴∐(≴∭⊉16320∇⊂⋱≴∭⊉20141)⩖⊿(≴∭⊉11123⫲⨊)∷((⇁⨣⪵≴∭⊉6461⨟⋌⩍≴∭⊉3105)⫩⊇)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":214,"operation_count":11,"complexity_ratio":19.454545454545453,"tree":{"type":"binary","operator":"∷","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":1896,"base":7},"right_expr":{"type":"numeric_atoms","value":1890,"base":7}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1211,"base":7},"right_expr":{"type":"numeric_atoms","value":7000,"base":7}}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":4620,"base":7},"right_expr":{"type":"numeric_atoms","value":4880,"base":7}},"right_expr":{"type":"unary","operator":"⫲⨊","unary_expr":{"type":"numeric_atoms","value":2810,"base":7}}}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2297,"base":7},"right_expr":{"type":"numeric_atoms","value":1083,"base":7}}}}},"used_operators":["D3AQDKkPcf","HnzytWxmAO","4JB6nKBMSY","cHh1gJQ2o6","2DQ55sFlQl","RZ5CV9rWsJ","nhYeJWJD5X","CArV6hThFE","BjRHVeLaeN","inkyxCbjAn","rGHVDoGpnC"],"dependent_operators":["9FxExcQeMw","NTOWxs364D","7j4O788W3g","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","sdazOOVcIp","NTOWxs364D","COABgblf1C","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","rysDP5nf3Z","t8gj7n24qd","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","WmT3o8z6ya","uFcxV4UQCh","2DDjHMKMc0","B3sABdIn96","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1896","layer":4},{"info":"number node, value=1890","layer":4},{"info":"compute binary expreesion, left_input=1896, right_input=1890, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"number node, value=1211","layer":4},{"info":"number node, value=7000","layer":4},{"info":"compute binary expreesion, left_input=1211, right_input=7000, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=160, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=894","layer":2},{"info":"number node, value=4620","layer":4},{"info":"number node, value=4880","layer":4},{"info":"compute binary expreesion, left_input=4620, right_input=4880, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=8694","layer":3},{"info":"number node, value=2810","layer":4},{"info":"compute unary expreesion, input=2810, op_id = CArV6hThFE, unary_op_definition = 'a⫲⨊ = { ((332≫≃)⪹) , if a==35 ; ((a⋘⨑⨽)⋝⋈⪟(a⪛290)) , else }', output=14833","layer":3},{"info":"compute binary expreesion, left_input=8694, right_input=14833, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=83806","layer":2},{"info":"compute binary expreesion, left_input=894, right_input=83806, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":1},{"info":"number node, value=2297","layer":4},{"info":"number node, value=1083","layer":4},{"info":"compute binary expreesion, left_input=2297, right_input=1083, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉5346⩘≴∭⊉5340⇴(≴∭⊉3350⨵⪆≴∭⊉26260)⇴∐(≴∭⊉16320∇⊂⋱≴∭⊉20141)⩖⊿(≴∭⊉11123⫲⨊)∷((⇁⨣⪵≴∭⊉6461⨟⋌⩍≴∭⊉3105)⫩⊇)=NaN","reverse_text":"NaN=≴∭⊉5346⩘≴∭⊉5340⇴(≴∭⊉3350⨵⪆≴∭⊉26260)⇴∐(≴∭⊉16320∇⊂⋱≴∭⊉20141)⩖⊿(≴∭⊉11123⫲⨊)∷((⇁⨣⪵≴∭⊉6461⨟⋌⩍≴∭⊉3105)⫩⊇)","cot":[{"info":"≴∭⊉5346⩘≴∭⊉5340=≴∭⊉316","layer":3},{"info":"≴∭⊉3350⨵⪆≴∭⊉26260=≴∭⊉316","layer":3},{"info":"≴∭⊉316⇴≴∭⊉316=≴∭⊉2415","layer":2},{"info":"≴∭⊉16320∇⊂⋱≴∭⊉20141=≴∭⊉34230","layer":3},{"info":"≴∭⊉11123⫲⨊=≴∭⊉61150","layer":3},{"info":"≴∭⊉34230⩖⊿≴∭⊉61150=≴∭⊉466222","layer":2},{"info":"≴∭⊉2415⇴∐≴∭⊉466222=NaN","layer":1},{"info":"≴∭⊉6461⨟⋌⩍≴∭⊉3105=NaN","layer":3},{"info":"⇁⨣⪵NaN=NaN","layer":2},{"info":"NaN⫩⊇=NaN","layer":1},{"info":"NaN∷NaN=NaN","layer":0}]}
+{"id":294,"expression_no_base_symbol":"($1045$⫌⩉⩟$2437$)⋝⋈⪟$3053$⇂≾⫗$2578$∠↢($1177$⪕$1952$≬⋮$4734$⫒⫫$6068$)/(⊊≼∋(⨵$4294$))≎⪠(($1404$⫸⇳$5153$)⊋≦⊧($4526$⊝))","expression":"(≴∭⊉3022⫌⩉⩟≴∭⊉10051)⋝⋈⪟≴∭⊉11621⇂≾⫗≴∭⊉10342∠↢(≴∭⊉3301⪕≴∭⊉5456≬⋮≴∭⊉16542⫒⫫≴∭⊉23456)/(⊊≼∋(⨵≴∭⊉15343))≎⪠((≴∭⊉4044⫸⇳≴∭⊉21011)⊋≦⊧(≴∭⊉16124⊝))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":32687,"operation_count":14,"complexity_ratio":2334.785714285714,"tree":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":1045,"base":7},"right_expr":{"type":"numeric_atoms","value":2437,"base":7}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":3053,"base":7},"right_expr":{"type":"numeric_atoms","value":2578,"base":7}}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":1177,"base":7},"right_expr":{"type":"numeric_atoms","value":1952,"base":7}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":4734,"base":7},"right_expr":{"type":"numeric_atoms","value":6068,"base":7}}}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"numeric_atoms","value":4294,"base":7}}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":1404,"base":7},"right_expr":{"type":"numeric_atoms","value":5153,"base":7}},"right_expr":{"type":"unary","operator":"⊝","unary_expr":{"type":"numeric_atoms","value":4526,"base":7}}}}},"used_operators":["XhwjNDsVaA","KbjG8mgYpV","2DDjHMKMc0","XIIwhv8d0m","aBQ6xLxuTc","kbkesczE7y","umQnsF7QlU","6Ko8hGgeMq","aNhz54LH3e","FWz7pXsQhA","Tl3Y52tvF8","oRDoc9rAEX","gx7XJ7hdpj","O6EZ0fifGK"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","B5M0gjZbta","jCPkEVoL5K","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","IqGBaFP0uj","ncHt1X6cMc","AHs5Up7iyr","EWw2JM7wp4","6o9Blt3TJ6","keWfFq85dY","u7fv1HBiaC"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1045","layer":4},{"info":"number node, value=2437","layer":4},{"info":"compute binary expreesion, left_input=1045, right_input=2437, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"number node, value=3053","layer":4},{"info":"number node, value=2578","layer":4},{"info":"compute binary expreesion, left_input=3053, right_input=2578, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"compute binary expreesion, left_input=-50, right_input=-676, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-50","layer":2},{"info":"number node, value=1177","layer":4},{"info":"number node, value=1952","layer":4},{"info":"compute binary expreesion, left_input=1177, right_input=1952, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=1303","layer":3},{"info":"number node, value=4734","layer":4},{"info":"number node, value=6068","layer":4},{"info":"compute binary expreesion, left_input=4734, right_input=6068, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1303, right_input=nan, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-50, right_input=nan, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=nan","layer":1},{"info":"number node, value=4294","layer":4},{"info":"compute unary expreesion, input=4294, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=-35561","layer":3},{"info":"compute unary expreesion, input=-35561, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=nan","layer":2},{"info":"number node, value=1404","layer":4},{"info":"number node, value=5153","layer":4},{"info":"compute binary expreesion, left_input=1404, right_input=5153, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"number node, value=4526","layer":4},{"info":"compute unary expreesion, input=4526, op_id = O6EZ0fifGK, unary_op_definition = 'a⊝ = { a , if (≯a)<=30 ; (((⩦⊞a)≁↽≥(a⪉⨛a))≹⇙⪍((a⊓⋫)⪉⨛(a⫰⋱a))) , else }', output=4526","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=4526, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=192","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=192, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=19558, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉3022⫌⩉⩟≴∭⊉10051)⋝⋈⪟≴∭⊉11621⇂≾⫗≴∭⊉10342∠↢(≴∭⊉3301⪕≴∭⊉5456≬⋮≴∭⊉16542⫒⫫≴∭⊉23456)/(⊊≼∋(⨵≴∭⊉15343))≎⪠((≴∭⊉4044⫸⇳≴∭⊉21011)⊋≦⊧(≴∭⊉16124⊝))=NaN","reverse_text":"NaN=(≴∭⊉3022⫌⩉⩟≴∭⊉10051)⋝⋈⪟≴∭⊉11621⇂≾⫗≴∭⊉10342∠↢(≴∭⊉3301⪕≴∭⊉5456≬⋮≴∭⊉16542⫒⫫≴∭⊉23456)/(⊊≼∋(⨵≴∭⊉15343))≎⪠((≴∭⊉4044⫸⇳≴∭⊉21011)⊋≦⊧(≴∭⊉16124⊝))","cot":[{"info":"≴∭⊉3022⫌⩉⩟≴∭⊉10051=≴∭⊉-101","layer":3},{"info":"≴∭⊉11621⇂≾⫗≴∭⊉10342=≴∭⊉-1654","layer":3},{"info":"≴∭⊉-101⋝⋈⪟≴∭⊉-1654=≴∭⊉-101","layer":2},{"info":"≴∭⊉3301⪕≴∭⊉5456=≴∭⊉3541","layer":3},{"info":"≴∭⊉16542⫒⫫≴∭⊉23456=NaN","layer":3},{"info":"≴∭⊉3541≬⋮NaN=NaN","layer":2},{"info":"≴∭⊉-101∠↢NaN=NaN","layer":1},{"info":"⨵≴∭⊉15343=≴∭⊉-205451","layer":3},{"info":"⊊≼∋≴∭⊉-205451=NaN","layer":2},{"info":"≴∭⊉4044⫸⇳≴∭⊉21011=≴∭⊉0","layer":3},{"info":"≴∭⊉16124⊝=≴∭⊉16124","layer":3},{"info":"≴∭⊉0⊋≦⊧≴∭⊉16124=≴∭⊉363","layer":2},{"info":"NaN≎⪠≴∭⊉363=≴∭⊉111010","layer":1},{"info":"NaN/≴∭⊉111010=NaN","layer":0}]}
+{"id":295,"expression_no_base_symbol":"((⨣⨃⇪$3879$)⇡)⋳⪒($4889$⪁$2355$)⫒⫫($1108$⩒⫫$8856$)⫔⩽⩺(⋂($4514$≠≀$4067$))∳⫺(($1167$∠↢$4195$)⫯⪬∳($6350$⪘⫢$2020$))","expression":"((⨣⨃⇪≴∭⊉14211)⇡)⋳⪒(≴∭⊉20153⪁≴∭⊉6603)⫒⫫(≴∭⊉3142⩒⫫≴∭⊉34551)⫔⩽⩺(⋂(≴∭⊉16106≠≀≴∭⊉14600))∳⫺((≴∭⊉3255∠↢≴∭⊉15142)⫯⪬∳(≴∭⊉24341⪘⫢≴∭⊉5614))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":75931844,"operation_count":13,"complexity_ratio":5840911.076923077,"tree":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⇡","unary_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"numeric_atoms","value":3879,"base":7}}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":4889,"base":7},"right_expr":{"type":"numeric_atoms","value":2355,"base":7}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":1108,"base":7},"right_expr":{"type":"numeric_atoms","value":8856,"base":7}}}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"unary","operator":"⋂","unary_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":4514,"base":7},"right_expr":{"type":"numeric_atoms","value":4067,"base":7}}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":1167,"base":7},"right_expr":{"type":"numeric_atoms","value":4195,"base":7}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":6350,"base":7},"right_expr":{"type":"numeric_atoms","value":2020,"base":7}}}}},"used_operators":["i9eR4S00cU","12rbrZMWeM","UqFzSgLMvQ","AcOhelriW5","6Ko8hGgeMq","I7sXao9hZE","KFSx94NKJn","AzXXKTstlj","BUOGQAYlQx","IwW236VD4Y","d7ASUq0ydm","KbjG8mgYpV","oacrs7FA3X"],"dependent_operators":["Tw270M8GLb","fu6greOZ01","rysDP5nf3Z","t8gj7n24qd","3sJ7IOPOlU","sJAwomhLZr","4JB6nKBMSY","k2HlF1dBQh","BiWNJpBvwn","YSKBFp38Pu","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3879","layer":4},{"info":"compute unary expreesion, input=3879, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":3},{"info":"compute unary expreesion, input=1405, op_id = UqFzSgLMvQ, unary_op_definition = 'a⇡ = { (((a⇴a)⪇≇⋚(∤27))⇤((a⩍⋽⫝̸27)⩠)) }', output=-2917","layer":2},{"info":"number node, value=4889","layer":4},{"info":"number node, value=2355","layer":4},{"info":"compute binary expreesion, left_input=4889, right_input=2355, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"number node, value=1108","layer":4},{"info":"number node, value=8856","layer":4},{"info":"compute binary expreesion, left_input=1108, right_input=8856, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=806","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=806, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-2917, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":1},{"info":"number node, value=4514","layer":4},{"info":"number node, value=4067","layer":4},{"info":"compute binary expreesion, left_input=4514, right_input=4067, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-8722","layer":3},{"info":"compute unary expreesion, input=-8722, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=122704","layer":2},{"info":"number node, value=1167","layer":4},{"info":"number node, value=4195","layer":4},{"info":"compute binary expreesion, left_input=1167, right_input=4195, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-62316","layer":3},{"info":"number node, value=6350","layer":4},{"info":"number node, value=2020","layer":4},{"info":"compute binary expreesion, left_input=6350, right_input=2020, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=12576","layer":3},{"info":"compute binary expreesion, left_input=-62316, right_input=12576, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=186475","layer":2},{"info":"compute binary expreesion, left_input=122704, right_input=186475, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-260, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((⨣⨃⇪≴∭⊉14211)⇡)⋳⪒(≴∭⊉20153⪁≴∭⊉6603)⫒⫫(≴∭⊉3142⩒⫫≴∭⊉34551)⫔⩽⩺(⋂(≴∭⊉16106≠≀≴∭⊉14600))∳⫺((≴∭⊉3255∠↢≴∭⊉15142)⫯⪬∳(≴∭⊉24341⪘⫢≴∭⊉5614))=NaN","reverse_text":"NaN=((⨣⨃⇪≴∭⊉14211)⇡)⋳⪒(≴∭⊉20153⪁≴∭⊉6603)⫒⫫(≴∭⊉3142⩒⫫≴∭⊉34551)⫔⩽⩺(⋂(≴∭⊉16106≠≀≴∭⊉14600))∳⫺((≴∭⊉3255∠↢≴∭⊉15142)⫯⪬∳(≴∭⊉24341⪘⫢≴∭⊉5614))","cot":[{"info":"⨣⨃⇪≴∭⊉14211=≴∭⊉4045","layer":3},{"info":"≴∭⊉4045⇡=≴∭⊉-11335","layer":2},{"info":"≴∭⊉20153⪁≴∭⊉6603=NaN","layer":3},{"info":"≴∭⊉3142⩒⫫≴∭⊉34551=≴∭⊉2231","layer":3},{"info":"NaN⫒⫫≴∭⊉2231=NaN","layer":2},{"info":"≴∭⊉-11335⋳⪒NaN=NaN","layer":1},{"info":"≴∭⊉16106≠≀≴∭⊉14600=≴∭⊉-34300","layer":3},{"info":"⋂≴∭⊉-34300=≴∭⊉1020511","layer":2},{"info":"≴∭⊉3255∠↢≴∭⊉15142=≴∭⊉-346452","layer":3},{"info":"≴∭⊉24341⪘⫢≴∭⊉5614=≴∭⊉51444","layer":3},{"info":"≴∭⊉-346452⫯⪬∳≴∭⊉51444=≴∭⊉1404442","layer":2},{"info":"≴∭⊉1020511∳⫺≴∭⊉1404442=≴∭⊉-521","layer":1},{"info":"NaN⫔⩽⩺≴∭⊉-521=NaN","layer":0}]}
+{"id":296,"expression_no_base_symbol":"(↔((⊬↢$2173$)⨪↰⇹$1797$⪝$4718$))≬⋮(≱⇩⩕(→⩰$2807$⩦$1278$))","expression":"(↔((⊬↢≴∭⊉6223)⨪↰⇹≴∭⊉5145⪝≴∭⊉16520))≬⋮(≱⇩⩕(→⩰≴∭⊉11120⩦≴∭⊉3504))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":8925,"operation_count":8,"complexity_ratio":1115.625,"tree":{"type":"binary","operator":"≬⋮","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"numeric_atoms","value":2173,"base":7}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":1797,"base":7},"right_expr":{"type":"numeric_atoms","value":4718,"base":7}}}},"right_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":2807,"base":7},"right_expr":{"type":"numeric_atoms","value":1278,"base":7}}}}},"used_operators":["kbkesczE7y","ruOEQAzv1W","tmPS8pqC7x","WPoGxAaPR1","wicAB68Tmb","3DZMoQKiUl","o8Pngz0Tml","0kmYd0q39Y"],"dependent_operators":["P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rJVOvQCfKK","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=2173","layer":4},{"info":"compute unary expreesion, input=2173, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=218","layer":3},{"info":"number node, value=1797","layer":4},{"info":"number node, value=4718","layer":4},{"info":"compute binary expreesion, left_input=1797, right_input=4718, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":3},{"info":"compute binary expreesion, left_input=218, right_input=237, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=218","layer":2},{"info":"compute unary expreesion, input=218, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=55","layer":1},{"info":"number node, value=2807","layer":4},{"info":"number node, value=1278","layer":4},{"info":"compute binary expreesion, left_input=2807, right_input=1278, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=5614","layer":3},{"info":"compute unary expreesion, input=5614, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=55, right_input=nan, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(↔((⊬↢≴∭⊉6223)⨪↰⇹≴∭⊉5145⪝≴∭⊉16520))≬⋮(≱⇩⩕(→⩰≴∭⊉11120⩦≴∭⊉3504))=NaN","reverse_text":"NaN=(↔((⊬↢≴∭⊉6223)⨪↰⇹≴∭⊉5145⪝≴∭⊉16520))≬⋮(≱⇩⩕(→⩰≴∭⊉11120⩦≴∭⊉3504))","cot":[{"info":"⊬↢≴∭⊉6223=≴∭⊉431","layer":3},{"info":"≴∭⊉5145⪝≴∭⊉16520=≴∭⊉456","layer":3},{"info":"≴∭⊉431⨪↰⇹≴∭⊉456=≴∭⊉431","layer":2},{"info":"↔≴∭⊉431=≴∭⊉106","layer":1},{"info":"≴∭⊉11120⩦≴∭⊉3504=≴∭⊉22240","layer":3},{"info":"→⩰≴∭⊉22240=NaN","layer":2},{"info":"≱⇩⩕NaN=NaN","layer":1},{"info":"≴∭⊉106≬⋮NaN=NaN","layer":0}]}
+{"id":297,"expression_no_base_symbol":"(($1348$≎⪠$8478$⋥≓≎(⊿$5637$))⩒⫫(↴⪽⋼$2906$⋳⪒$2269$))⨜⨶($5527$≎⪠$2886$⩚⊴⇥($2056$⫢⨠$2277$))⇻⋧≁((⩪∧⨌$2091$)↬⩅∪)","expression":"((≴∭⊉3634≎⪠≴∭⊉33501⋥≓≎(⊿≴∭⊉22302))⩒⫫(↴⪽⋼≴∭⊉11321⋳⪒≴∭⊉6421))⨜⨶(≴∭⊉22054≎⪠≴∭⊉11262⩚⊴⇥(≴∭⊉5665⫢⨠≴∭⊉6432))⇻⋧≁((⩪∧⨌≴∭⊉6045)↬⩅∪)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":38543,"operation_count":13,"complexity_ratio":2964.846153846154,"tree":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":1348,"base":7},"right_expr":{"type":"numeric_atoms","value":8478,"base":7}},"right_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"numeric_atoms","value":5637,"base":7}}},"right_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2906,"base":7},"right_expr":{"type":"numeric_atoms","value":2269,"base":7}}}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":5527,"base":7},"right_expr":{"type":"numeric_atoms","value":2886,"base":7}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":2056,"base":7},"right_expr":{"type":"numeric_atoms","value":2277,"base":7}}},"right_expr":{"type":"unary","operator":"↬⩅∪","unary_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"numeric_atoms","value":2091,"base":7}}}}},"used_operators":["HiPekx5b7W","KFSx94NKJn","Qy55tPpLXF","aNhz54LH3e","DO4fhlbJSI","5TUYCnJO6w","12rbrZMWeM","jCPkEVoL5K","NTOWxs364D","xlXykHWxX1","VJ330n2nnx","6iOiAJX1F8"],"dependent_operators":["N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","rysDP5nf3Z","t8gj7n24qd","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","D4vGDi5EA2","23Mk6UjR3U","u6S6b8DprG","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj"],"result":"≴∭⊉6643","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1348","layer":4},{"info":"number node, value=8478","layer":4},{"info":"compute binary expreesion, left_input=1348, right_input=8478, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"number node, value=5637","layer":4},{"info":"compute unary expreesion, input=5637, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-23286","layer":3},{"info":"compute binary expreesion, left_input=19558, right_input=-23286, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-66097","layer":2},{"info":"number node, value=2906","layer":4},{"info":"number node, value=2269","layer":4},{"info":"compute binary expreesion, left_input=2906, right_input=2269, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=3256","layer":3},{"info":"compute unary expreesion, input=3256, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=3256","layer":2},{"info":"compute binary expreesion, left_input=-66097, right_input=3256, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=160","layer":1},{"info":"number node, value=5527","layer":4},{"info":"number node, value=2886","layer":4},{"info":"compute binary expreesion, left_input=5527, right_input=2886, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"number node, value=2056","layer":4},{"info":"number node, value=2277","layer":4},{"info":"compute binary expreesion, left_input=2056, right_input=2277, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=19558, right_input=160, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-19839","layer":2},{"info":"number node, value=2091","layer":4},{"info":"compute unary expreesion, input=2091, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=20910","layer":3},{"info":"compute unary expreesion, input=20910, op_id = VJ330n2nnx, unary_op_definition = 'a↬⩅∪ = { (a≦≮≮) , if (↽≂a)!=185 or a>=376 or a<=585 ; (a⋷a) , else }', output=-62730","layer":2},{"info":"compute binary expreesion, left_input=-19839, right_input=-62730, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=0, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=2383","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉3634≎⪠≴∭⊉33501⋥≓≎(⊿≴∭⊉22302))⩒⫫(↴⪽⋼≴∭⊉11321⋳⪒≴∭⊉6421))⨜⨶(≴∭⊉22054≎⪠≴∭⊉11262⩚⊴⇥(≴∭⊉5665⫢⨠≴∭⊉6432))⇻⋧≁((⩪∧⨌≴∭⊉6045)↬⩅∪)=≴∭⊉6643","reverse_text":"≴∭⊉6643=((≴∭⊉3634≎⪠≴∭⊉33501⋥≓≎(⊿≴∭⊉22302))⩒⫫(↴⪽⋼≴∭⊉11321⋳⪒≴∭⊉6421))⨜⨶(≴∭⊉22054≎⪠≴∭⊉11262⩚⊴⇥(≴∭⊉5665⫢⨠≴∭⊉6432))⇻⋧≁((⩪∧⨌≴∭⊉6045)↬⩅∪)","cot":[{"info":"≴∭⊉3634≎⪠≴∭⊉33501=≴∭⊉111010","layer":3},{"info":"⊿≴∭⊉22302=≴∭⊉-124614","layer":3},{"info":"≴∭⊉111010⋥≓≎≴∭⊉-124614=≴∭⊉-363463","layer":2},{"info":"≴∭⊉11321⋳⪒≴∭⊉6421=≴∭⊉12331","layer":3},{"info":"↴⪽⋼≴∭⊉12331=≴∭⊉12331","layer":2},{"info":"≴∭⊉-363463⩒⫫≴∭⊉12331=≴∭⊉316","layer":1},{"info":"≴∭⊉22054≎⪠≴∭⊉11262=≴∭⊉111010","layer":3},{"info":"≴∭⊉5665⫢⨠≴∭⊉6432=≴∭⊉316","layer":3},{"info":"≴∭⊉111010⩚⊴⇥≴∭⊉316=≴∭⊉-111561","layer":2},{"info":"⩪∧⨌≴∭⊉6045=≴∭⊉114651","layer":3},{"info":"≴∭⊉114651↬⩅∪=≴∭⊉-350613","layer":2},{"info":"≴∭⊉-111561⇻⋧≁≴∭⊉-350613=≴∭⊉0","layer":1},{"info":"≴∭⊉316⨜⨶≴∭⊉0=≴∭⊉6643","layer":0}]}
+{"id":298,"expression_no_base_symbol":"∷≠((⊽$3317$)↢($1351$⊝⪿⪼$1190$)⋥≓≎($6331$≧⫂∧$2186$)⪮%⊝($6106$⪉⨛$1473$))","expression":"∷≠((⊽≴∭⊉12446)↢(≴∭⊉3640⊝⪿⪼≴∭⊉3320)⋥≓≎(≴∭⊉24313≧⫂∧≴∭⊉6242)⪮%⊝(≴∭⊉23542⪉⨛≴∭⊉4203))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":84,"operation_count":8,"complexity_ratio":10.5,"tree":{"type":"unary","operator":"∷≠","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"numeric_atoms","value":3317,"base":7}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":1351,"base":7},"right_expr":{"type":"numeric_atoms","value":1190,"base":7}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":6331,"base":7},"right_expr":{"type":"numeric_atoms","value":2186,"base":7}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":6106,"base":7},"right_expr":{"type":"numeric_atoms","value":1473,"base":7}}}}},"used_operators":["QiR2Oyf5Xj","Qy55tPpLXF","WR6HLWljOP","QxG7OkqoLX","3Oe9XWJUTD","IWmyXbctLI","Ph9nP6C5qx","EWw2JM7wp4"],"dependent_operators":["7j4O788W3g","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL"],"result":"≴∭⊉-311","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3317","layer":4},{"info":"compute unary expreesion, input=3317, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=8156","layer":3},{"info":"number node, value=1351","layer":4},{"info":"number node, value=1190","layer":4},{"info":"compute binary expreesion, left_input=1351, right_input=1190, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=25027","layer":3},{"info":"compute binary expreesion, left_input=8156, right_input=25027, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=7672","layer":2},{"info":"number node, value=6331","layer":4},{"info":"number node, value=2186","layer":4},{"info":"compute binary expreesion, left_input=6331, right_input=2186, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1713","layer":3},{"info":"number node, value=6106","layer":4},{"info":"number node, value=1473","layer":4},{"info":"compute binary expreesion, left_input=6106, right_input=1473, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=17060","layer":3},{"info":"compute binary expreesion, left_input=1713, right_input=17060, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3742","layer":2},{"info":"compute binary expreesion, left_input=7672, right_input=3742, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-155","layer":1},{"info":"compute unary expreesion, input=-155, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=-155","layer":0}],"base":7,"result_base":7,"text":"∷≠((⊽≴∭⊉12446)↢(≴∭⊉3640⊝⪿⪼≴∭⊉3320)⋥≓≎(≴∭⊉24313≧⫂∧≴∭⊉6242)⪮%⊝(≴∭⊉23542⪉⨛≴∭⊉4203))=≴∭⊉-311","reverse_text":"≴∭⊉-311=∷≠((⊽≴∭⊉12446)↢(≴∭⊉3640⊝⪿⪼≴∭⊉3320)⋥≓≎(≴∭⊉24313≧⫂∧≴∭⊉6242)⪮%⊝(≴∭⊉23542⪉⨛≴∭⊉4203))","cot":[{"info":"⊽≴∭⊉12446=≴∭⊉32531","layer":3},{"info":"≴∭⊉3640⊝⪿⪼≴∭⊉3320=≴∭⊉132652","layer":3},{"info":"≴∭⊉32531↢≴∭⊉132652=≴∭⊉31240","layer":2},{"info":"≴∭⊉24313≧⫂∧≴∭⊉6242=≴∭⊉4665","layer":3},{"info":"≴∭⊉23542⪉⨛≴∭⊉4203=≴∭⊉100511","layer":3},{"info":"≴∭⊉4665⪮%⊝≴∭⊉100511=≴∭⊉13624","layer":2},{"info":"≴∭⊉31240⋥≓≎≴∭⊉13624=≴∭⊉-311","layer":1},{"info":"∷≠≴∭⊉-311=≴∭⊉-311","layer":0}]}
+{"id":299,"expression_no_base_symbol":"($3555$⫃⨇$7169$)⫞⩸⩒$2077$⊮⊟↴$1498$∋(⊿$2564$⊴$1183$)≥⨤⩑(↔(⇜($2609$⇉⇉)))","expression":"(≴∭⊉13236⫃⨇≴∭⊉26621)⫞⩸⩒≴∭⊉6025⊮⊟↴≴∭⊉4240∋(⊿≴∭⊉10322⊴≴∭⊉3310)≥⨤⩑(↔(⇜(≴∭⊉10415⇉⇉)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4096,"operation_count":10,"complexity_ratio":409.6,"tree":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":3555,"base":7},"right_expr":{"type":"numeric_atoms","value":7169,"base":7}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":2077,"base":7},"right_expr":{"type":"numeric_atoms","value":1498,"base":7}}},"right_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2564,"base":7},"right_expr":{"type":"numeric_atoms","value":1183,"base":7}}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"unary","operator":"⇉⇉","unary_expr":{"type":"numeric_atoms","value":2609,"base":7}}}}},"used_operators":["gJLn6v0xnP","ukq6epAj5P","XGcMNugi78","09Ly4LVMIf","QDVgd2eftb","DO4fhlbJSI","Nsiff2A1zJ","ruOEQAzv1W","lFBm8KRb8F","diKm42VcIt"],"dependent_operators":["mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","dWAJyo7jo9","14qkJME0vr","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","RygbFNSyEJ","XPYlsWDdGa","k8jYdgA6NY","xUOZtlo3hN","AFVx7xoS7T","iuk5sVOGFA","86A5ENbKR9"],"result":"≴∭⊉3412","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3555","layer":4},{"info":"number node, value=7169","layer":4},{"info":"compute binary expreesion, left_input=3555, right_input=7169, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-28708","layer":3},{"info":"number node, value=2077","layer":4},{"info":"number node, value=1498","layer":4},{"info":"compute binary expreesion, left_input=2077, right_input=1498, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-28708, right_input=0, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=-28708","layer":2},{"info":"number node, value=2564","layer":4},{"info":"number node, value=1183","layer":4},{"info":"compute binary expreesion, left_input=2564, right_input=1183, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-28708, right_input=nan, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=60208","layer":1},{"info":"number node, value=2609","layer":4},{"info":"compute unary expreesion, input=2609, op_id = diKm42VcIt, unary_op_definition = 'a⇉⇉ = { (⪸(⨞⊢(a≦↸a))) , if (a⪣⫩)!=30 ; (a%(⪲⇎(a⇌⫙⪟156))) , else }', output=-162668","layer":3},{"info":"compute unary expreesion, input=-162668, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=232","layer":2},{"info":"compute unary expreesion, input=232, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=41","layer":1},{"info":"compute binary expreesion, left_input=60208, right_input=41, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉13236⫃⨇≴∭⊉26621)⫞⩸⩒≴∭⊉6025⊮⊟↴≴∭⊉4240∋(⊿≴∭⊉10322⊴≴∭⊉3310)≥⨤⩑(↔(⇜(≴∭⊉10415⇉⇉)))=≴∭⊉3412","reverse_text":"≴∭⊉3412=(≴∭⊉13236⫃⨇≴∭⊉26621)⫞⩸⩒≴∭⊉6025⊮⊟↴≴∭⊉4240∋(⊿≴∭⊉10322⊴≴∭⊉3310)≥⨤⩑(↔(⇜(≴∭⊉10415⇉⇉)))","cot":[{"info":"≴∭⊉13236⫃⨇≴∭⊉26621=≴∭⊉-146461","layer":3},{"info":"≴∭⊉6025⊮⊟↴≴∭⊉4240=≴∭⊉0","layer":3},{"info":"≴∭⊉-146461⫞⩸⩒≴∭⊉0=≴∭⊉-146461","layer":2},{"info":"≴∭⊉10322⊴≴∭⊉3310=NaN","layer":3},{"info":"⊿NaN=NaN","layer":2},{"info":"≴∭⊉-146461∋NaN=≴∭⊉340351","layer":1},{"info":"≴∭⊉10415⇉⇉=≴∭⊉-1245152","layer":3},{"info":"⇜≴∭⊉-1245152=≴∭⊉451","layer":2},{"info":"↔≴∭⊉451=≴∭⊉56","layer":1},{"info":"≴∭⊉340351≥⨤⩑≴∭⊉56=≴∭⊉3412","layer":0}]}
+{"id":300,"expression_no_base_symbol":"≀↧⇸(($2049$⨥⫆$1257$⊭∹↮)⪒($7262$⫗⊷⫓$4060$⫡⨏$4750$⇻⋧≁$3684$))","expression":"≀↧⇸((≴∭⊉5655⨥⫆≴∭⊉3444⊭∹↮)⪒(≴∭⊉30113⫗⊷⫓≴∭⊉14560⫡⨏≴∭⊉16564⇻⋧≁≴∭⊉13512))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5457,"operation_count":7,"complexity_ratio":779.5714285714286,"tree":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":2049,"base":7},"right_expr":{"type":"numeric_atoms","value":1257,"base":7}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":7262,"base":7},"right_expr":{"type":"numeric_atoms","value":4060,"base":7}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":4750,"base":7},"right_expr":{"type":"numeric_atoms","value":3684,"base":7}}}}},"used_operators":["ljTHtUsqzn","f6k1SAg4EE","xNBdhnnwKq","yXekIHxTD4","QMFrweE19q","zashukvMKz","jCPkEVoL5K"],"dependent_operators":["XPYlsWDdGa","23Mk6UjR3U","W4YGzv6Whe","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe"],"result":"≴∭⊉64431","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2049","layer":4},{"info":"number node, value=1257","layer":4},{"info":"compute binary expreesion, left_input=2049, right_input=1257, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=2390","layer":3},{"info":"compute unary expreesion, input=2390, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=4780","layer":2},{"info":"number node, value=7262","layer":4},{"info":"number node, value=4060","layer":4},{"info":"compute binary expreesion, left_input=7262, right_input=4060, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"number node, value=4750","layer":4},{"info":"number node, value=3684","layer":4},{"info":"compute binary expreesion, left_input=4750, right_input=3684, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=-447, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=-781","layer":2},{"info":"compute binary expreesion, left_input=4780, right_input=-781, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3999","layer":1},{"info":"compute unary expreesion, input=-3999, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=15996","layer":0}],"base":7,"result_base":7,"text":"≀↧⇸((≴∭⊉5655⨥⫆≴∭⊉3444⊭∹↮)⪒(≴∭⊉30113⫗⊷⫓≴∭⊉14560⫡⨏≴∭⊉16564⇻⋧≁≴∭⊉13512))=≴∭⊉64431","reverse_text":"≴∭⊉64431=≀↧⇸((≴∭⊉5655⨥⫆≴∭⊉3444⊭∹↮)⪒(≴∭⊉30113⫗⊷⫓≴∭⊉14560⫡⨏≴∭⊉16564⇻⋧≁≴∭⊉13512))","cot":[{"info":"≴∭⊉5655⨥⫆≴∭⊉3444=≴∭⊉6653","layer":3},{"info":"≴∭⊉6653⊭∹↮=≴∭⊉16636","layer":2},{"info":"≴∭⊉30113⫗⊷⫓≴∭⊉14560=≴∭⊉-251","layer":3},{"info":"≴∭⊉16564⇻⋧≁≴∭⊉13512=≴∭⊉-1206","layer":3},{"info":"≴∭⊉-251⫡⨏≴∭⊉-1206=≴∭⊉-2164","layer":2},{"info":"≴∭⊉16636⪒≴∭⊉-2164=≴∭⊉-14442","layer":1},{"info":"≀↧⇸≴∭⊉-14442=≴∭⊉64431","layer":0}]}
+{"id":301,"expression_no_base_symbol":"(⫯($2652$⫳≱↱$3413$))⨽∌(∤$1910$)⋹⋡⊁($1442$≀⩗∶$5720$)∑⇟⊟(⊿(∓$1124$))∌(≯($1185$⩧⪆$1613$))","expression":"(⫯(≴∭⊉10506⫳≱↱≴∭⊉12644))⨽∌(∤≴∭⊉5366)⋹⋡⊁(≴∭⊉4130≀⩗∶≴∭⊉22451)∑⇟⊟(⊿(∓≴∭⊉3164))∌(≯(≴∭⊉3312⩧⪆≴∭⊉4463))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":537,"operation_count":12,"complexity_ratio":44.75,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"unary","operator":"⫯","unary_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":2652,"base":7},"right_expr":{"type":"numeric_atoms","value":3413,"base":7}}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"numeric_atoms","value":1910,"base":7}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":1442,"base":7},"right_expr":{"type":"numeric_atoms","value":5720,"base":7}}}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"numeric_atoms","value":1124,"base":7}}},"right_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":1185,"base":7},"right_expr":{"type":"numeric_atoms","value":1613,"base":7}}}}},"used_operators":["U7g4x0WXJJ","9samAPKr6k","H6BK1Evt7c","ZvLB05nZmT","As8RqfVLgs","k2HlF1dBQh","8INZBEW696","8cLx32lpNA","DO4fhlbJSI","OwUj7dcsQK","keWfFq85dY","Ikt5ks8PT7"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","g55IO6H4Gj","JLbD19bQDL","eewbuw0ToL","t8gj7n24qd"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2652","layer":4},{"info":"number node, value=3413","layer":4},{"info":"compute binary expreesion, left_input=2652, right_input=3413, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"compute unary expreesion, input=-204, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=19256","layer":2},{"info":"number node, value=1910","layer":4},{"info":"compute unary expreesion, input=1910, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":3},{"info":"number node, value=1442","layer":4},{"info":"number node, value=5720","layer":4},{"info":"compute binary expreesion, left_input=1442, right_input=5720, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=-9","layer":3},{"info":"compute binary expreesion, left_input=9, right_input=-9, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=-406","layer":2},{"info":"compute binary expreesion, left_input=19256, right_input=-406, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":1},{"info":"number node, value=1124","layer":4},{"info":"compute unary expreesion, input=1124, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-21732","layer":3},{"info":"compute unary expreesion, input=-21732, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=88314","layer":2},{"info":"number node, value=1185","layer":4},{"info":"number node, value=1613","layer":4},{"info":"compute binary expreesion, left_input=1185, right_input=1613, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-1613","layer":3},{"info":"compute unary expreesion, input=-1613, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=88314, right_input=0, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=0","layer":0}],"base":7,"result_base":7,"text":"(⫯(≴∭⊉10506⫳≱↱≴∭⊉12644))⨽∌(∤≴∭⊉5366)⋹⋡⊁(≴∭⊉4130≀⩗∶≴∭⊉22451)∑⇟⊟(⊿(∓≴∭⊉3164))∌(≯(≴∭⊉3312⩧⪆≴∭⊉4463))=≴∭⊉0","reverse_text":"≴∭⊉0=(⫯(≴∭⊉10506⫳≱↱≴∭⊉12644))⨽∌(∤≴∭⊉5366)⋹⋡⊁(≴∭⊉4130≀⩗∶≴∭⊉22451)∑⇟⊟(⊿(∓≴∭⊉3164))∌(≯(≴∭⊉3312⩧⪆≴∭⊉4463))","cot":[{"info":"≴∭⊉10506⫳≱↱≴∭⊉12644=≴∭⊉-411","layer":3},{"info":"⫯≴∭⊉-411=≴∭⊉110066","layer":2},{"info":"∤≴∭⊉5366=≴∭⊉12","layer":3},{"info":"≴∭⊉4130≀⩗∶≴∭⊉22451=≴∭⊉-12","layer":3},{"info":"≴∭⊉12⋹⋡⊁≴∭⊉-12=≴∭⊉-1120","layer":2},{"info":"≴∭⊉110066⨽∌≴∭⊉-1120=≴∭⊉0","layer":1},{"info":"∓≴∭⊉3164=≴∭⊉-120234","layer":3},{"info":"⊿≴∭⊉-120234=≴∭⊉515322","layer":2},{"info":"≴∭⊉3312⩧⪆≴∭⊉4463=≴∭⊉-4463","layer":3},{"info":"≯≴∭⊉-4463=≴∭⊉0","layer":2},{"info":"≴∭⊉515322∌≴∭⊉0=≴∭⊉0","layer":1},{"info":"≴∭⊉0∑⇟⊟≴∭⊉0=≴∭⊉0","layer":0}]}
+{"id":302,"expression_no_base_symbol":"(((∂$2005$)↙(⊆⋠$4511$))⊝)⇼⇔∾($1554$⪉⨛$5752$)⊨($3588$⇄$2090$)≃(⪁⇼(⊈$4306$))","expression":"(((∂≴∭⊉5563)↙(⊆⋠≴∭⊉16103))⊝)⇼⇔∾(≴∭⊉4350⪉⨛≴∭⊉22525)⊨(≴∭⊉13314⇄≴∭⊉6044)≃(⪁⇼(⊈≴∭⊉15361))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":207,"operation_count":11,"complexity_ratio":18.818181818181817,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⊝","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":2005,"base":7}},"right_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"numeric_atoms","value":4511,"base":7}}}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":1554,"base":7},"right_expr":{"type":"numeric_atoms","value":5752,"base":7}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":3588,"base":7},"right_expr":{"type":"numeric_atoms","value":2090,"base":7}}},"right_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"numeric_atoms","value":4306,"base":7}}}}},"used_operators":["tifHPKVTfV","O6EZ0fifGK","yyfyN0ffXY","Uaa54Peajs","EBhcHTkKd8","YbVcJGFEVW","vg4gO5BX6G","EWw2JM7wp4","3EYGwJThht","ZNVVrZ94lY","RHru8klgy8"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","IqGBaFP0uj","ncHt1X6cMc","AHs5Up7iyr","EWw2JM7wp4","6o9Blt3TJ6","keWfFq85dY","u7fv1HBiaC","tmPS8pqC7x","DpFCA1CohY","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","12rbrZMWeM","xUOZtlo3hN"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2005","layer":4},{"info":"compute unary expreesion, input=2005, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"number node, value=4511","layer":4},{"info":"compute unary expreesion, input=4511, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = O6EZ0fifGK, unary_op_definition = 'a⊝ = { a , if (≯a)<=30 ; (((⩦⊞a)≁↽≥(a⪉⨛a))≹⇙⪍((a⊓⋫)⪉⨛(a⫰⋱a))) , else }', output=nan","layer":1},{"info":"number node, value=1554","layer":4},{"info":"number node, value=5752","layer":4},{"info":"compute binary expreesion, left_input=1554, right_input=5752, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=-875","layer":3},{"info":"number node, value=3588","layer":4},{"info":"number node, value=2090","layer":4},{"info":"compute binary expreesion, left_input=3588, right_input=2090, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-875, right_input=0, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=-174","layer":2},{"info":"number node, value=4306","layer":4},{"info":"compute unary expreesion, input=4306, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-4480","layer":3},{"info":"compute unary expreesion, input=-4480, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":2},{"info":"compute binary expreesion, left_input=-174, right_input=422, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=328","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=328, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(((∂≴∭⊉5563)↙(⊆⋠≴∭⊉16103))⊝)⇼⇔∾(≴∭⊉4350⪉⨛≴∭⊉22525)⊨(≴∭⊉13314⇄≴∭⊉6044)≃(⪁⇼(⊈≴∭⊉15361))=NaN","reverse_text":"NaN=(((∂≴∭⊉5563)↙(⊆⋠≴∭⊉16103))⊝)⇼⇔∾(≴∭⊉4350⪉⨛≴∭⊉22525)⊨(≴∭⊉13314⇄≴∭⊉6044)≃(⪁⇼(⊈≴∭⊉15361))","cot":[{"info":"∂≴∭⊉5563=NaN","layer":3},{"info":"⊆⋠≴∭⊉16103=≴∭⊉0","layer":3},{"info":"NaN↙≴∭⊉0=NaN","layer":2},{"info":"NaN⊝=NaN","layer":1},{"info":"≴∭⊉4350⪉⨛≴∭⊉22525=≴∭⊉-2360","layer":3},{"info":"≴∭⊉13314⇄≴∭⊉6044=≴∭⊉0","layer":3},{"info":"≴∭⊉-2360⊨≴∭⊉0=≴∭⊉-336","layer":2},{"info":"⊈≴∭⊉15361=≴∭⊉-16030","layer":3},{"info":"⪁⇼≴∭⊉-16030=≴∭⊉1142","layer":2},{"info":"≴∭⊉-336≃≴∭⊉1142=≴∭⊉646","layer":1},{"info":"NaN⇼⇔∾≴∭⊉646=NaN","layer":0}]}
+{"id":303,"expression_no_base_symbol":"((⋗⩬⋾$1092$)↢($1380$⩨$3954$)⫢⨠$4470$∳⫺$1047$⊴$7531$⪎↠$5810$)∴(($8528$⨽∌$1577$)⇻⋧≁($1767$⨿$4293$)⇼⇔∾(⊲⪭$2891$)≁($2977$⋻⩜⩜$1087$))","expression":"((⋗⩬⋾≴∭⊉3120)↢(≴∭⊉4011⩨≴∭⊉14346)⫢⨠≴∭⊉16014∳⫺≴∭⊉3024⊴≴∭⊉30646⪎↠≴∭⊉22640)∴((≴∭⊉33602⨽∌≴∭⊉4412)⇻⋧≁(≴∭⊉5103⨿≴∭⊉15342)⇼⇔∾(⊲⪭≴∭⊉11300)≁(≴∭⊉11452⋻⩜⩜≴∭⊉3112))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":15949,"operation_count":15,"complexity_ratio":1063.2666666666667,"tree":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1092,"base":7}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1380,"base":7},"right_expr":{"type":"numeric_atoms","value":3954,"base":7}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":4470,"base":7},"right_expr":{"type":"numeric_atoms","value":1047,"base":7}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":7531,"base":7},"right_expr":{"type":"numeric_atoms","value":5810,"base":7}}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":8528,"base":7},"right_expr":{"type":"numeric_atoms","value":1577,"base":7}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":1767,"base":7},"right_expr":{"type":"numeric_atoms","value":4293,"base":7}}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"numeric_atoms","value":2891,"base":7}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":2977,"base":7},"right_expr":{"type":"numeric_atoms","value":1087,"base":7}}}}},"used_operators":["hrf7POJlIJ","xlXykHWxX1","WR6HLWljOP","DpFCA1CohY","2DlMacCsIx","Nsiff2A1zJ","AzXXKTstlj","3tVxb0NHM4","tifHPKVTfV","jCPkEVoL5K","9samAPKr6k","abYXlopdE0","8N2wDY1A35","k7HXdKtiEU","oDCm7WA9JY"],"dependent_operators":["g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","dWAJyo7jo9","14qkJME0vr","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","i8ToyICDmI","xUOZtlo3hN","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1092","layer":4},{"info":"compute unary expreesion, input=1092, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-3276","layer":3},{"info":"number node, value=1380","layer":4},{"info":"number node, value=3954","layer":4},{"info":"compute binary expreesion, left_input=1380, right_input=3954, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-6","layer":3},{"info":"compute binary expreesion, left_input=-3276, right_input=-6, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=-6564","layer":2},{"info":"number node, value=4470","layer":4},{"info":"number node, value=1047","layer":4},{"info":"compute binary expreesion, left_input=4470, right_input=1047, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":3},{"info":"number node, value=7531","layer":4},{"info":"number node, value=5810","layer":4},{"info":"compute binary expreesion, left_input=7531, right_input=5810, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-260, right_input=160, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-6564, right_input=nan, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=nan","layer":1},{"info":"number node, value=8528","layer":4},{"info":"number node, value=1577","layer":4},{"info":"compute binary expreesion, left_input=8528, right_input=1577, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"number node, value=1767","layer":4},{"info":"number node, value=4293","layer":4},{"info":"compute binary expreesion, left_input=1767, right_input=4293, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-319, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":2},{"info":"number node, value=2891","layer":4},{"info":"compute unary expreesion, input=2891, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-3065","layer":3},{"info":"number node, value=2977","layer":4},{"info":"number node, value=1087","layer":4},{"info":"compute binary expreesion, left_input=2977, right_input=1087, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=5954","layer":3},{"info":"compute binary expreesion, left_input=-3065, right_input=5954, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=129695","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=129695, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=130142","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=130142, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((⋗⩬⋾≴∭⊉3120)↢(≴∭⊉4011⩨≴∭⊉14346)⫢⨠≴∭⊉16014∳⫺≴∭⊉3024⊴≴∭⊉30646⪎↠≴∭⊉22640)∴((≴∭⊉33602⨽∌≴∭⊉4412)⇻⋧≁(≴∭⊉5103⨿≴∭⊉15342)⇼⇔∾(⊲⪭≴∭⊉11300)≁(≴∭⊉11452⋻⩜⩜≴∭⊉3112))=NaN","reverse_text":"NaN=((⋗⩬⋾≴∭⊉3120)↢(≴∭⊉4011⩨≴∭⊉14346)⫢⨠≴∭⊉16014∳⫺≴∭⊉3024⊴≴∭⊉30646⪎↠≴∭⊉22640)∴((≴∭⊉33602⨽∌≴∭⊉4412)⇻⋧≁(≴∭⊉5103⨿≴∭⊉15342)⇼⇔∾(⊲⪭≴∭⊉11300)≁(≴∭⊉11452⋻⩜⩜≴∭⊉3112))","cot":[{"info":"⋗⩬⋾≴∭⊉3120=≴∭⊉-12360","layer":3},{"info":"≴∭⊉4011⩨≴∭⊉14346=≴∭⊉-6","layer":3},{"info":"≴∭⊉-12360↢≴∭⊉-6=≴∭⊉-25065","layer":2},{"info":"≴∭⊉16014∳⫺≴∭⊉3024=≴∭⊉-521","layer":3},{"info":"≴∭⊉30646⪎↠≴∭⊉22640=≴∭⊉316","layer":3},{"info":"≴∭⊉-521⊴≴∭⊉316=NaN","layer":2},{"info":"≴∭⊉-25065⫢⨠NaN=NaN","layer":1},{"info":"≴∭⊉33602⨽∌≴∭⊉4412=≴∭⊉0","layer":3},{"info":"≴∭⊉5103⨿≴∭⊉15342=≴∭⊉-634","layer":3},{"info":"≴∭⊉0⇻⋧≁≴∭⊉-634=≴∭⊉-1206","layer":2},{"info":"⊲⪭≴∭⊉11300=≴∭⊉-11636","layer":3},{"info":"≴∭⊉11452⋻⩜⩜≴∭⊉3112=≴∭⊉23234","layer":3},{"info":"≴∭⊉-11636≁≴∭⊉23234=≴∭⊉1050056","layer":2},{"info":"≴∭⊉-1206⇼⇔∾≴∭⊉1050056=≴∭⊉1051265","layer":1},{"info":"NaN∴≴∭⊉1051265=NaN","layer":0}]}
+{"id":304,"expression_no_base_symbol":"((∷≠$1145$)⫥∨⫟(⇖$1565$)⩺⪪(↪⫪⫘$4103$)≎⪠($3396$↳∿⪆$8145$))↞⋁($2933$⇷$6843$⇄$5066$⪶≀⋏$3619$⊉≛↸(∜⨇($2411$⨐$2347$)))","expression":"((∷≠≴∭⊉3224)⫥∨⫟(⇖≴∭⊉4364)⩺⪪(↪⫪⫘≴∭⊉14651)≎⪠(≴∭⊉12621↳∿⪆≴∭⊉32514))↞⋁(≴∭⊉11360⇷≴∭⊉25644⇄≴∭⊉20525⪶≀⋏≴∭⊉13360⊉≛↸(∜⨇(≴∭⊉10013⨐≴∭⊉6562)))","highest_n_order":5,"priority_hierarchical_complexity":14,"normalized_expansion_degree":63421,"operation_count":14,"complexity_ratio":4530.071428571428,"tree":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"numeric_atoms","value":1145,"base":7}},"right_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"numeric_atoms","value":1565,"base":7}}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"numeric_atoms","value":4103,"base":7}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":3396,"base":7},"right_expr":{"type":"numeric_atoms","value":8145,"base":7}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2933,"base":7},"right_expr":{"type":"numeric_atoms","value":6843,"base":7}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":5066,"base":7},"right_expr":{"type":"numeric_atoms","value":3619,"base":7}}},"right_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":2411,"base":7},"right_expr":{"type":"numeric_atoms","value":2347,"base":7}}}}},"used_operators":["RqrPlJkxDo","uvdQJvN4PV","KYD54nUTWz","QiR2Oyf5Xj","tfWHHpNKUN","aNhz54LH3e","9dWsAM3GFt","Cw4SuJJGHO","DZ8iAZOCBD","3EYGwJThht","mp7IySMOzn","zR4jO40bMj","uFPyJr306J","Noe24qw2ks"],"dependent_operators":["Uaa54Peajs","CArV6hThFE","13rbtpv6ld","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","8HhzD0ZcuI","rGHVDoGpnC","7j4O788W3g","2DQ55sFlQl","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1145","layer":4},{"info":"compute unary expreesion, input=1145, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=1145","layer":3},{"info":"number node, value=1565","layer":4},{"info":"compute unary expreesion, input=1565, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=1145, right_input=160, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=4103","layer":4},{"info":"compute unary expreesion, input=4103, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":3},{"info":"number node, value=3396","layer":4},{"info":"number node, value=8145","layer":4},{"info":"compute binary expreesion, left_input=3396, right_input=8145, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=20, right_input=nan, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=19558, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=nan","layer":1},{"info":"number node, value=2933","layer":4},{"info":"number node, value=6843","layer":4},{"info":"compute binary expreesion, left_input=2933, right_input=6843, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=13686","layer":3},{"info":"number node, value=5066","layer":4},{"info":"number node, value=3619","layer":4},{"info":"compute binary expreesion, left_input=5066, right_input=3619, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-22668","layer":3},{"info":"compute binary expreesion, left_input=13686, right_input=-22668, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":2},{"info":"number node, value=2411","layer":4},{"info":"number node, value=2347","layer":4},{"info":"compute binary expreesion, left_input=2411, right_input=2347, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-4822","layer":3},{"info":"compute unary expreesion, input=-4822, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((∷≠≴∭⊉3224)⫥∨⫟(⇖≴∭⊉4364)⩺⪪(↪⫪⫘≴∭⊉14651)≎⪠(≴∭⊉12621↳∿⪆≴∭⊉32514))↞⋁(≴∭⊉11360⇷≴∭⊉25644⇄≴∭⊉20525⪶≀⋏≴∭⊉13360⊉≛↸(∜⨇(≴∭⊉10013⨐≴∭⊉6562)))=NaN","reverse_text":"NaN=((∷≠≴∭⊉3224)⫥∨⫟(⇖≴∭⊉4364)⩺⪪(↪⫪⫘≴∭⊉14651)≎⪠(≴∭⊉12621↳∿⪆≴∭⊉32514))↞⋁(≴∭⊉11360⇷≴∭⊉25644⇄≴∭⊉20525⪶≀⋏≴∭⊉13360⊉≛↸(∜⨇(≴∭⊉10013⨐≴∭⊉6562)))","cot":[{"info":"∷≠≴∭⊉3224=≴∭⊉3224","layer":3},{"info":"⇖≴∭⊉4364=≴∭⊉316","layer":3},{"info":"≴∭⊉3224⫥∨⫟≴∭⊉316=NaN","layer":2},{"info":"↪⫪⫘≴∭⊉14651=≴∭⊉26","layer":3},{"info":"≴∭⊉12621↳∿⪆≴∭⊉32514=NaN","layer":3},{"info":"≴∭⊉26≎⪠NaN=≴∭⊉111010","layer":2},{"info":"NaN⩺⪪≴∭⊉111010=NaN","layer":1},{"info":"≴∭⊉11360⇷≴∭⊉25644=≴∭⊉54621","layer":3},{"info":"≴∭⊉20525⪶≀⋏≴∭⊉13360=≴∭⊉-123042","layer":3},{"info":"≴∭⊉54621⇄≴∭⊉-123042=≴∭⊉0","layer":2},{"info":"≴∭⊉10013⨐≴∭⊉6562=≴∭⊉-20026","layer":3},{"info":"∜⨇≴∭⊉-20026=NaN","layer":2},{"info":"≴∭⊉0⊉≛↸NaN=≴∭⊉0","layer":1},{"info":"NaN↞⋁≴∭⊉0=NaN","layer":0}]}
+{"id":305,"expression_no_base_symbol":"((↡($3327$⨌↪))≎⊠⪸($1926$≄⊠$2914$⋥≓≎($1889$%$1188$)))⪃⊛⇣(((⩎⋉$7799$)⋥≓≎($1417$≓∲$7527$))∳⫺($2574$⪔⊥$1036$⇀∌))","expression":"((↡(≴∭⊉12462⨌↪))≎⊠⪸(≴∭⊉5421≄⊠≴∭⊉11332⋥≓≎(≴∭⊉5336%≴∭⊉3315)))⪃⊛⇣(((⩎⋉≴∭⊉31511)⋥≓≎(≴∭⊉4063≓∲≴∭⊉30642))∳⫺(≴∭⊉10335⪔⊥≴∭⊉3010⇀∌))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":5578,"operation_count":13,"complexity_ratio":429.0769230769231,"tree":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"unary","operator":"⨌↪","unary_expr":{"type":"numeric_atoms","value":3327,"base":7}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":1926,"base":7},"right_expr":{"type":"numeric_atoms","value":2914,"base":7}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1889,"base":7},"right_expr":{"type":"numeric_atoms","value":1188,"base":7}}}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"numeric_atoms","value":7799,"base":7}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":1417,"base":7},"right_expr":{"type":"numeric_atoms","value":7527,"base":7}}},"right_expr":{"type":"unary","operator":"⇀∌","unary_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":2574,"base":7},"right_expr":{"type":"numeric_atoms","value":1036,"base":7}}}}},"used_operators":["rrgAzCduG9","bJkvcejdHO","MXaNJeIAZ3","cWQsF5MvuD","Qy55tPpLXF","vXNesLlMH1","k8jYdgA6NY","AzXXKTstlj","FlXk3pOYe8","s1XTVnmDOJ","2k53nXOpI5","HJ9erzHUuu"],"dependent_operators":["Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","8w2t5hMYqp","2DQ55sFlQl","i8ToyICDmI","QMFrweE19q","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","rysDP5nf3Z","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","Q3PJZHRvZv","ddLRYrp01A","AcOhelriW5","7t3wd0Fuz7","3tVxb0NHM4","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C"],"result":"≴∭⊉3412","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3327","layer":4},{"info":"compute unary expreesion, input=3327, op_id = cWQsF5MvuD, unary_op_definition = 'a⨌↪ = { (⊄⩳↩((a∲⫓a)⨵⪆(a⫡⨏a))) }', output=-480","layer":3},{"info":"compute unary expreesion, input=-480, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=-4320","layer":2},{"info":"number node, value=1926","layer":4},{"info":"number node, value=2914","layer":4},{"info":"compute binary expreesion, left_input=1926, right_input=2914, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=51292","layer":3},{"info":"number node, value=1889","layer":4},{"info":"number node, value=1188","layer":4},{"info":"compute binary expreesion, left_input=1889, right_input=1188, op_id = k8jYdgA6NY binary_op_definition= 'None', output=701","layer":3},{"info":"compute binary expreesion, left_input=51292, right_input=701, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-49857","layer":2},{"info":"compute binary expreesion, left_input=-4320, right_input=-49857, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":1},{"info":"number node, value=7799","layer":4},{"info":"compute unary expreesion, input=7799, op_id = FlXk3pOYe8, unary_op_definition = '⩎⋉a = { (((a/a)∲⫓(≛a))∴((a⩨a)⨳⩥⨓(⊄⩳↩a))) , if (a⩇∃⫛268)<=24 or a==244 or (↩⪖a)>=4 ; (((a⨔⇊a)∠↢(↸⊣a))≚⊃≕((≦∁a)⨐461)) , else }', output=1650","layer":3},{"info":"number node, value=1417","layer":4},{"info":"number node, value=7527","layer":4},{"info":"compute binary expreesion, left_input=1417, right_input=7527, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=14953","layer":3},{"info":"compute binary expreesion, left_input=1650, right_input=14953, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=28289","layer":2},{"info":"number node, value=2574","layer":4},{"info":"number node, value=1036","layer":4},{"info":"compute binary expreesion, left_input=2574, right_input=1036, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=8025","layer":3},{"info":"compute unary expreesion, input=8025, op_id = 2k53nXOpI5, unary_op_definition = 'a⇀∌ = { ((a⪎↠(⨣⨃⇪a))⋥⋵⩄(a∊∟⩊(⊥a))) }', output=113","layer":2},{"info":"compute binary expreesion, left_input=28289, right_input=113, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=-260, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":0}],"base":7,"result_base":7,"text":"((↡(≴∭⊉12462⨌↪))≎⊠⪸(≴∭⊉5421≄⊠≴∭⊉11332⋥≓≎(≴∭⊉5336%≴∭⊉3315)))⪃⊛⇣(((⩎⋉≴∭⊉31511)⋥≓≎(≴∭⊉4063≓∲≴∭⊉30642))∳⫺(≴∭⊉10335⪔⊥≴∭⊉3010⇀∌))=≴∭⊉3412","reverse_text":"≴∭⊉3412=((↡(≴∭⊉12462⨌↪))≎⊠⪸(≴∭⊉5421≄⊠≴∭⊉11332⋥≓≎(≴∭⊉5336%≴∭⊉3315)))⪃⊛⇣(((⩎⋉≴∭⊉31511)⋥≓≎(≴∭⊉4063≓∲≴∭⊉30642))∳⫺(≴∭⊉10335⪔⊥≴∭⊉3010⇀∌))","cot":[{"info":"≴∭⊉12462⨌↪=≴∭⊉-1254","layer":3},{"info":"↡≴∭⊉-1254=≴∭⊉-15411","layer":2},{"info":"≴∭⊉5421≄⊠≴∭⊉11332=≴∭⊉302353","layer":3},{"info":"≴∭⊉5336%≴∭⊉3315=≴∭⊉2021","layer":3},{"info":"≴∭⊉302353⋥≓≎≴∭⊉2021=≴∭⊉-265233","layer":2},{"info":"≴∭⊉-15411≎⊠⪸≴∭⊉-265233=≴∭⊉124","layer":1},{"info":"⩎⋉≴∭⊉31511=≴∭⊉4545","layer":3},{"info":"≴∭⊉4063≓∲≴∭⊉30642=≴∭⊉61411","layer":3},{"info":"≴∭⊉4545⋥≓≎≴∭⊉61411=≴∭⊉145322","layer":2},{"info":"≴∭⊉10335⪔⊥≴∭⊉3010=≴∭⊉32253","layer":3},{"info":"≴∭⊉32253⇀∌=≴∭⊉221","layer":2},{"info":"≴∭⊉145322∳⫺≴∭⊉221=≴∭⊉-521","layer":1},{"info":"≴∭⊉124⪃⊛⇣≴∭⊉-521=≴∭⊉3412","layer":0}]}
+{"id":306,"expression_no_base_symbol":"(≀↧⇸$3033$⫞⩸⩒$1224$⩖⊿$1510$⨜⨶$5821$)⊟⇱","expression":"(≀↧⇸≴∭⊉11562⫞⩸⩒≴∭⊉3366⩖⊿≴∭⊉4255⨜⨶≴∭⊉22654)⊟⇱","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":83,"operation_count":5,"complexity_ratio":16.6,"tree":{"type":"unary","operator":"⊟⇱","unary_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":3033,"base":7},"right_expr":{"type":"numeric_atoms","value":1224,"base":7}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":1510,"base":7},"right_expr":{"type":"numeric_atoms","value":5821,"base":7}}}}},"used_operators":["03sUfWo75k","ljTHtUsqzn","RZ5CV9rWsJ","XGcMNugi78","HiPekx5b7W"],"dependent_operators":["IWmyXbctLI","XPYlsWDdGa","23Mk6UjR3U","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q"],"result":"≴∭⊉6351346","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3033","layer":4},{"info":"number node, value=1224","layer":4},{"info":"compute binary expreesion, left_input=3033, right_input=1224, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=1224","layer":3},{"info":"number node, value=1510","layer":4},{"info":"number node, value=5821","layer":4},{"info":"compute binary expreesion, left_input=1510, right_input=5821, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-11386","layer":3},{"info":"compute binary expreesion, left_input=1224, right_input=-11386, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-96066","layer":2},{"info":"compute unary expreesion, input=-96066, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=384264","layer":1},{"info":"compute unary expreesion, input=384264, op_id = 03sUfWo75k, unary_op_definition = 'a⊟⇱ = { (a⪮%⊝a) }', output=768844","layer":0}],"base":7,"result_base":7,"text":"(≀↧⇸≴∭⊉11562⫞⩸⩒≴∭⊉3366⩖⊿≴∭⊉4255⨜⨶≴∭⊉22654)⊟⇱=≴∭⊉6351346","reverse_text":"≴∭⊉6351346=(≀↧⇸≴∭⊉11562⫞⩸⩒≴∭⊉3366⩖⊿≴∭⊉4255⨜⨶≴∭⊉22654)⊟⇱","cot":[{"info":"≴∭⊉11562⫞⩸⩒≴∭⊉3366=≴∭⊉3366","layer":3},{"info":"≴∭⊉4255⨜⨶≴∭⊉22654=≴∭⊉-45124","layer":3},{"info":"≴∭⊉3366⩖⊿≴∭⊉-45124=≴∭⊉-550035","layer":2},{"info":"≀↧⇸≴∭⊉-550035=≴∭⊉3160206","layer":1},{"info":"≴∭⊉3160206⊟⇱=≴∭⊉6351346","layer":0}]}
+{"id":307,"expression_no_base_symbol":"(↘(⫎≠⋺$9568$))↳≱($2285$≧⫂∧$2297$)⪟⇏($1073$∺≝⩲$1917$)↬(((⊤⊝$1906$)⫏⊷)⨳⩥⨓($1246$⨽⪊≇)⋳⪒$2363$⪬$4529$)","expression":"(↘(⫎≠⋺≴∭⊉36616))↳≱(≴∭⊉6443≧⫂∧≴∭⊉6461)⪟⇏(≴∭⊉3062∺≝⩲≴∭⊉5406)↬(((⊤⊝≴∭⊉5362)⫏⊷)⨳⩥⨓(≴∭⊉3430⨽⪊≇)⋳⪒≴∭⊉6614⪬≴∭⊉16130)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":8461,"operation_count":13,"complexity_ratio":650.8461538461538,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"numeric_atoms","value":9568,"base":7}}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2285,"base":7},"right_expr":{"type":"numeric_atoms","value":2297,"base":7}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":1073,"base":7},"right_expr":{"type":"numeric_atoms","value":1917,"base":7}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"⫏⊷","unary_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"numeric_atoms","value":1906,"base":7}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⨽⪊≇","unary_expr":{"type":"numeric_atoms","value":1246,"base":7}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":2363,"base":7},"right_expr":{"type":"numeric_atoms","value":4529,"base":7}}}}},"used_operators":["B5M0gjZbta","JwTKLfZU96","LdNpr8hQHL","LYeZOJ0nQG","GODebY97qR","Ph9nP6C5qx","KPf6cnQVty","nCS4ZIUYfx","dcShxvzhyw","rXAclfmB4M","12rbrZMWeM","nlCqmYiOvY","Ez1Nq5fNfI"],"dependent_operators":["rGHVDoGpnC","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","uFcxV4UQCh","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","W4YGzv6Whe","rysDP5nf3Z","FU0Cs4j7VP","7YooWSwCyH","HK0tfVPux8","sdazOOVcIp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","sdazOOVcIp","XIabStNQrY","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y"],"result":"≴∭⊉12264","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=9568","layer":4},{"info":"compute unary expreesion, input=9568, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=0","layer":2},{"info":"number node, value=2285","layer":4},{"info":"number node, value=2297","layer":4},{"info":"compute binary expreesion, left_input=2285, right_input=2297, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1824","layer":3},{"info":"number node, value=1073","layer":4},{"info":"number node, value=1917","layer":4},{"info":"compute binary expreesion, left_input=1073, right_input=1917, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=1824, right_input=160, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":1},{"info":"number node, value=1906","layer":4},{"info":"compute unary expreesion, input=1906, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=2514","layer":3},{"info":"compute unary expreesion, input=2514, op_id = dcShxvzhyw, unary_op_definition = 'a⫏⊷ = { ((224∪⫐a)⊾⪯⋞(a↛⩡⫤)) }', output=-820","layer":2},{"info":"number node, value=1246","layer":4},{"info":"compute unary expreesion, input=1246, op_id = nlCqmYiOvY, unary_op_definition = 'a⨽⪊≇ = { ((a⇋≉)⪨≂(a+216)) }', output=1966","layer":3},{"info":"number node, value=2363","layer":4},{"info":"number node, value=4529","layer":4},{"info":"compute binary expreesion, left_input=2363, right_input=4529, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=1966, right_input=1234, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=2411","layer":2},{"info":"compute binary expreesion, left_input=-820, right_input=2411, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=3231","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=3231, op_id = B5M0gjZbta binary_op_definition= 'a���b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=3231","layer":0}],"base":7,"result_base":7,"text":"(↘(⫎≠⋺≴∭⊉36616))↳≱(≴∭⊉6443≧⫂∧≴∭⊉6461)⪟⇏(≴∭⊉3062∺≝⩲≴∭⊉5406)↬(((⊤⊝≴∭⊉5362)⫏⊷)⨳⩥⨓(≴∭⊉3430⨽⪊≇)⋳⪒≴∭⊉6614⪬≴∭⊉16130)=≴∭⊉12264","reverse_text":"≴∭⊉12264=(↘(⫎≠⋺≴∭⊉36616))↳≱(≴∭⊉6443≧⫂∧≴∭⊉6461)⪟⇏(≴∭⊉3062∺≝⩲≴∭⊉5406)↬(((⊤⊝≴∭⊉5362)⫏⊷)⨳⩥⨓(≴∭⊉3430⨽⪊≇)⋳⪒≴∭⊉6614⪬≴∭⊉16130)","cot":[{"info":"⫎≠⋺≴∭⊉36616=≴∭⊉0","layer":3},{"info":"↘≴∭⊉0=≴∭⊉0","layer":2},{"info":"≴∭⊉6443≧⫂∧≴∭⊉6461=≴∭⊉5214","layer":3},{"info":"≴∭⊉3062∺≝⩲≴∭⊉5406=≴∭⊉316","layer":3},{"info":"≴∭⊉5214⪟⇏≴∭⊉316=≴∭⊉0","layer":2},{"info":"≴∭⊉0↳≱≴∭⊉0=≴∭⊉0","layer":1},{"info":"⊤⊝≴∭⊉5362=≴∭⊉10221","layer":3},{"info":"≴∭⊉10221⫏⊷=≴∭⊉-2251","layer":2},{"info":"≴∭⊉3430⨽⪊≇=≴∭⊉5506","layer":3},{"info":"≴∭⊉6614⪬≴∭⊉16130=≴∭⊉3412","layer":3},{"info":"≴∭⊉5506⋳⪒≴∭⊉3412=≴∭⊉10013","layer":2},{"info":"≴∭⊉-2251⨳⩥⨓≴∭⊉10013=≴∭⊉12264","layer":1},{"info":"≴∭⊉0↬≴∭⊉12264=≴∭⊉12264","layer":0}]}
+{"id":308,"expression_no_base_symbol":"(($5598$⫉⨲⊜$1703$)∋($1968$⪉⨛$1081$)≠≀((⊖$4274$)⊭↱($1614$⇼⇔∾$2777$)))≀⫉(($4422$⫸⇳$8662$)⫘($3824$∈)≬⋮(↥$4183$)⪬($1469$≃$5686$))","expression":"((≴∭⊉22215⫉⨲⊜≴∭⊉4652)∋(≴∭⊉5511⪉⨛≴∭⊉3103)≠≀((⊖≴∭⊉15314)⊭↱(≴∭⊉4464⇼⇔∾≴∭⊉11045)))≀⫉((≴∭⊉15615⫸⇳≴∭⊉34153)⫘(≴∭⊉14102∈)≬⋮(↥≴∭⊉15124)⪬(≴∭⊉4166≃≴∭⊉22402))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1107,"operation_count":15,"complexity_ratio":73.8,"tree":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":5598,"base":7},"right_expr":{"type":"numeric_atoms","value":1703,"base":7}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":1968,"base":7},"right_expr":{"type":"numeric_atoms","value":1081,"base":7}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"numeric_atoms","value":4274,"base":7}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1614,"base":7},"right_expr":{"type":"numeric_atoms","value":2777,"base":7}}}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":4422,"base":7},"right_expr":{"type":"numeric_atoms","value":8662,"base":7}},"right_expr":{"type":"unary","operator":"∈","unary_expr":{"type":"numeric_atoms","value":3824,"base":7}}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":4183,"base":7}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":1469,"base":7},"right_expr":{"type":"numeric_atoms","value":5686,"base":7}}}}},"used_operators":["oZj3VtZNQx","IwW236VD4Y","ukq6epAj5P","WhqkvtTD3t","EWw2JM7wp4","COABgblf1C","U6pG0PXrV3","tifHPKVTfV","kbkesczE7y","48vC8HMD2b","gx7XJ7hdpj","ztP7wcbY7m","Ez1Nq5fNfI","A8NUZmVepG","YbVcJGFEVW"],"dependent_operators":["9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","eewbuw0ToL","zVYPLywUTj","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","rysDP5nf3Z","t8gj7n24qd","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","rysDP5nf3Z","XPYlsWDdGa","8w2t5hMYqp","f6k1SAg4EE","14qkJME0vr","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","k8jYdgA6NY","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C"],"result":"≴∭⊉11141","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5598","layer":4},{"info":"number node, value=1703","layer":4},{"info":"compute binary expreesion, left_input=5598, right_input=1703, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"number node, value=1968","layer":4},{"info":"number node, value=1081","layer":4},{"info":"compute binary expreesion, left_input=1968, right_input=1081, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=5038","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=5038, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=10385064","layer":2},{"info":"number node, value=4274","layer":4},{"info":"compute unary expreesion, input=4274, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":3},{"info":"number node, value=1614","layer":4},{"info":"number node, value=2777","layer":4},{"info":"compute binary expreesion, left_input=1614, right_input=2777, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1163","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1163, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=2331","layer":2},{"info":"compute binary expreesion, left_input=10385064, right_input=2331, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-20769822","layer":1},{"info":"number node, value=4422","layer":4},{"info":"number node, value=8662","layer":4},{"info":"compute binary expreesion, left_input=4422, right_input=8662, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"number node, value=3824","layer":4},{"info":"compute unary expreesion, input=3824, op_id = ztP7wcbY7m, unary_op_definition = 'a∈ = { ((⊄⩳↩250)-(a⊦⊿)) , if ((⪲⇎a)>320 or (a⪒777)>25 or a!=39) ; a , else }', output=10801","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=10801, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=nan","layer":2},{"info":"number node, value=4183","layer":4},{"info":"compute unary expreesion, input=4183, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=1","layer":3},{"info":"number node, value=1469","layer":4},{"info":"number node, value=5686","layer":4},{"info":"compute binary expreesion, left_input=1469, right_input=5686, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-5916","layer":3},{"info":"compute binary expreesion, left_input=1, right_input=-5916, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1234, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":1},{"info":"compute binary expreesion, left_input=-20769822, right_input=868, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉22215⫉⨲⊜≴∭⊉4652)∋(≴∭⊉5511⪉⨛≴∭⊉3103)≠≀((⊖≴∭⊉15314)⊭↱(≴∭⊉4464⇼⇔∾≴∭⊉11045)))≀⫉((≴∭⊉15615⫸⇳≴∭⊉34153)⫘(≴∭⊉14102∈)≬⋮(↥≴∭⊉15124)⪬(≴∭⊉4166≃≴∭⊉22402))=≴∭⊉11141","reverse_text":"≴∭⊉11141=((≴∭⊉22215⫉⨲⊜≴∭⊉4652)∋(≴∭⊉5511⪉⨛≴∭⊉3103)≠≀((⊖≴∭⊉15314)⊭↱(≴∭⊉4464⇼⇔∾≴∭⊉11045)))≀⫉((≴∭⊉15615⫸⇳≴∭⊉34153)⫘(≴∭⊉14102∈)≬⋮(↥≴∭⊉15124)⪬(≴∭⊉4166≃≴∭⊉22402))","cot":[{"info":"≴∭⊉22215⫉⨲⊜≴∭⊉4652=≴∭⊉0","layer":3},{"info":"≴∭⊉5511⪉⨛≴∭⊉3103=≴∭⊉20455","layer":3},{"info":"≴∭⊉0∋≴∭⊉20455=≴∭⊉154162104","layer":2},{"info":"⊖≴∭⊉15314=≴∭⊉0","layer":3},{"info":"≴∭⊉4464⇼⇔∾≴∭⊉11045=≴∭⊉3251","layer":3},{"info":"≴∭⊉0⊭↱≴∭⊉3251=≴∭⊉6540","layer":2},{"info":"≴∭⊉154162104≠≀≴∭⊉6540=≴∭⊉-341353263","layer":1},{"info":"≴∭⊉15615⫸⇳≴∭⊉34153=≴∭⊉0","layer":3},{"info":"≴∭⊉14102∈=≴∭⊉43330","layer":3},{"info":"≴∭⊉0⫘≴∭⊉43330=NaN","layer":2},{"info":"↥≴∭⊉15124=≴∭⊉1","layer":3},{"info":"≴∭⊉4166≃≴∭⊉22402=≴∭⊉-23151","layer":3},{"info":"≴∭⊉1⪬≴∭⊉-23151=≴∭⊉3412","layer":2},{"info":"NaN≬⋮≴∭⊉3412=≴∭⊉2350","layer":1},{"info":"≴∭⊉-341353263≀⫉≴∭⊉2350=≴∭⊉11141","layer":0}]}
+{"id":309,"expression_no_base_symbol":"($6800$⫘$1494$)∋$1521$⨜⨶$2423$≠≀($1864$+⇶⊼$4840$)⪬($6825$⩁⩘$2585$)⪇≇⋚(⊊≼∋(($2247$∠↢$1718$)⩷∴($3125$⋷$3774$)))","expression":"(≴∭⊉25553⫘≴∭⊉4233)∋≴∭⊉4302⨜⨶≴∭⊉10031≠≀(≴∭⊉5302+⇶⊼≴∭⊉20053)⪬(≴∭⊉25620⩁⩘≴∭⊉10352)⪇≇⋚(⊊≼∋((≴∭⊉6360∠↢≴∭⊉5003)⩷∴(≴∭⊉12053⋷≴∭⊉14001)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":7786,"operation_count":12,"complexity_ratio":648.8333333333334,"tree":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":6800,"base":7},"right_expr":{"type":"numeric_atoms","value":1494,"base":7}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":1521,"base":7},"right_expr":{"type":"numeric_atoms","value":2423,"base":7}}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1864,"base":7},"right_expr":{"type":"numeric_atoms","value":4840,"base":7}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":6825,"base":7},"right_expr":{"type":"numeric_atoms","value":2585,"base":7}}}},"right_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":2247,"base":7},"right_expr":{"type":"numeric_atoms","value":1718,"base":7}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":3125,"base":7},"right_expr":{"type":"numeric_atoms","value":3774,"base":7}}}}},"used_operators":["3sJ7IOPOlU","IwW236VD4Y","ukq6epAj5P","48vC8HMD2b","HiPekx5b7W","Ez1Nq5fNfI","TpPTUOHfaN","gub5Cegaqo","FWz7pXsQhA","9FxExcQeMw","KbjG8mgYpV","23Mk6UjR3U"],"dependent_operators":["DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","AHs5Up7iyr","DpFCA1CohY","IWmyXbctLI","B5M0gjZbta","jCPkEVoL5K","rysDP5nf3Z","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","W4YGzv6Whe","t8gj7n24qd"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6800","layer":4},{"info":"number node, value=1494","layer":4},{"info":"compute binary expreesion, left_input=6800, right_input=1494, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=8001205","layer":3},{"info":"number node, value=1521","layer":4},{"info":"number node, value=2423","layer":4},{"info":"compute binary expreesion, left_input=1521, right_input=2423, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-4590","layer":3},{"info":"compute binary expreesion, left_input=8001205, right_input=-4590, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=-32059444","layer":2},{"info":"number node, value=1864","layer":4},{"info":"number node, value=4840","layer":4},{"info":"compute binary expreesion, left_input=1864, right_input=4840, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=6825","layer":4},{"info":"number node, value=2585","layer":4},{"info":"compute binary expreesion, left_input=6825, right_input=2585, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=11288","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=11288, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=-32059444, right_input=1234, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=64119194","layer":1},{"info":"number node, value=2247","layer":4},{"info":"number node, value=1718","layer":4},{"info":"compute binary expreesion, left_input=2247, right_input=1718, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-31958","layer":3},{"info":"number node, value=3125","layer":4},{"info":"number node, value=3774","layer":4},{"info":"compute binary expreesion, left_input=3125, right_input=3774, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=4423","layer":3},{"info":"compute binary expreesion, left_input=-31958, right_input=4423, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-72794","layer":2},{"info":"compute unary expreesion, input=-72794, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=64119194, right_input=nan, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉25553⫘≴∭⊉4233)∋≴∭⊉4302⨜⨶≴∭⊉10031≠≀(≴∭⊉5302+⇶⊼≴∭⊉20053)⪬(≴∭⊉25620⩁⩘≴∭⊉10352)⪇≇⋚(⊊≼∋((≴∭⊉6360∠↢≴∭⊉5003)⩷∴(≴∭⊉12053⋷≴∭⊉14001)))=≴∭⊉0","reverse_text":"≴∭⊉0=(≴∭⊉25553⫘≴∭⊉4233)∋≴∭⊉4302⨜⨶≴∭⊉10031≠≀(≴∭⊉5302+⇶⊼≴∭⊉20053)⪬(≴∭⊉25620⩁⩘≴∭⊉10352)⪇≇⋚(⊊≼∋((≴∭⊉6360∠↢≴∭⊉5003)⩷∴(≴∭⊉12053⋷≴∭⊉14001)))","cot":[{"info":"≴∭⊉25553⫘≴∭⊉4233=≴∭⊉125003062","layer":3},{"info":"≴∭⊉4302⨜⨶≴∭⊉10031=≴∭⊉-16245","layer":3},{"info":"≴∭⊉125003062∋≴∭⊉-16245=≴∭⊉-536333524","layer":2},{"info":"≴∭⊉5302+⇶⊼≴∭⊉20053=NaN","layer":3},{"info":"≴∭⊉25620⩁⩘≴∭⊉10352=≴∭⊉44624","layer":3},{"info":"NaN⪬≴∭⊉44624=≴∭⊉3412","layer":2},{"info":"≴∭⊉-536333524≠≀≴∭⊉3412=≴∭⊉1406001266","layer":1},{"info":"≴∭⊉6360∠↢≴∭⊉5003=≴∭⊉-162113","layer":3},{"info":"≴∭⊉12053⋷≴∭⊉14001=≴∭⊉15616","layer":3},{"info":"≴∭⊉-162113⩷∴≴∭⊉15616=≴∭⊉-422141","layer":2},{"info":"⊊≼∋≴∭⊉-422141=NaN","layer":1},{"info":"≴∭⊉1406001266⪇≇⋚NaN=≴∭⊉0","layer":0}]}
+{"id":310,"expression_no_base_symbol":"(($6790$⋐⇩⊬)↢($8460$⇤$1462$)⇉⇉)≎⪠(($6630$⊝⪿⪼$6343$⪨≂$4443$∑⇟⊟$2633$)⊉≛↸$2878$⪛⫼$2507$⨒$6395$≥⨤⩑$1845$)","expression":"((≴∭⊉25540⋐⇩⊬)↢(≴∭⊉33444⇤≴∭⊉4156)⇉⇉)≎⪠((≴∭⊉25221⊝⪿⪼≴∭⊉24331⪨≂≴∭⊉15645∑⇟⊟≴∭⊉10451)⊉≛↸≴∭⊉11251⪛⫼≴∭⊉10211⨒≴∭⊉24434≥⨤⩑≴∭⊉5244)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":19393,"operation_count":12,"complexity_ratio":1616.0833333333333,"tree":{"type":"binary","operator":"≎⪠","left_expr":{"type":"unary","operator":"⇉⇉","unary_expr":{"type":"binary","operator":"↢","left_expr":{"type":"unary","operator":"⋐⇩⊬","unary_expr":{"type":"numeric_atoms","value":6790,"base":7}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":8460,"base":7},"right_expr":{"type":"numeric_atoms","value":1462,"base":7}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":6630,"base":7},"right_expr":{"type":"numeric_atoms","value":6343,"base":7}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":4443,"base":7},"right_expr":{"type":"numeric_atoms","value":2633,"base":7}}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":2878,"base":7},"right_expr":{"type":"numeric_atoms","value":2507,"base":7}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":6395,"base":7},"right_expr":{"type":"numeric_atoms","value":1845,"base":7}}}}},"used_operators":["aNhz54LH3e","diKm42VcIt","WR6HLWljOP","JuuLT1NoCs","YSKBFp38Pu","DZ8iAZOCBD","sdazOOVcIp","3Oe9XWJUTD","U7g4x0WXJJ","y75s1iXyHd","hyuBjUqXlG","gJLn6v0xnP"],"dependent_operators":["bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","RygbFNSyEJ","XPYlsWDdGa","k8jYdgA6NY","xUOZtlo3hN","AFVx7xoS7T","iuk5sVOGFA","86A5ENbKR9","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","mp7IySMOzn","JclMnS0uGI","ddLRYrp01A","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE"],"result":"≴∭⊉111010","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6790","layer":4},{"info":"compute unary expreesion, input=6790, op_id = JuuLT1NoCs, unary_op_definition = 'a⋐⇩⊬ = { (a⨔⇊a) , if (a∊∟⩊189)<=582 ; (a⇷a) , else }', output=6790","layer":3},{"info":"number node, value=8460","layer":4},{"info":"number node, value=1462","layer":4},{"info":"compute binary expreesion, left_input=8460, right_input=1462, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-46762","layer":3},{"info":"compute binary expreesion, left_input=6790, right_input=-46762, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=6306","layer":2},{"info":"compute unary expreesion, input=6306, op_id = diKm42VcIt, unary_op_definition = 'a⇉⇉ = { (⪸(⨞⊢(a≦↸a))) , if (a⪣⫩)!=30 ; (a%(⪲⇎(a⇌⫙⪟156))) , else }', output=-414064","layer":1},{"info":"number node, value=6630","layer":4},{"info":"number node, value=6343","layer":4},{"info":"compute binary expreesion, left_input=6630, right_input=6343, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=83348","layer":3},{"info":"number node, value=4443","layer":4},{"info":"number node, value=2633","layer":4},{"info":"compute binary expreesion, left_input=4443, right_input=2633, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=83348, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":2},{"info":"number node, value=2878","layer":4},{"info":"number node, value=2507","layer":4},{"info":"compute binary expreesion, left_input=2878, right_input=2507, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":3},{"info":"number node, value=6395","layer":4},{"info":"number node, value=1845","layer":4},{"info":"compute binary expreesion, left_input=6395, right_input=1845, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=968, right_input=1234, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-5436","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-5436, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-414064, right_input=nan, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉25540⋐⇩⊬)↢(≴∭⊉33444⇤≴∭⊉4156)⇉⇉)≎⪠((≴∭⊉25221⊝⪿⪼≴∭⊉24331⪨≂≴∭⊉15645∑⇟⊟≴∭⊉10451)⊉≛↸≴∭⊉11251⪛⫼≴∭⊉10211⨒≴∭⊉24434≥⨤⩑≴∭⊉5244)=≴∭⊉111010","reverse_text":"≴∭⊉111010=((≴∭⊉25540⋐⇩⊬)↢(≴∭⊉33444⇤≴∭⊉4156)⇉⇉)≎⪠((≴∭⊉25221⊝⪿⪼≴∭⊉24331⪨≂≴∭⊉15645∑⇟⊟≴∭⊉10451)⊉≛↸≴∭⊉11251⪛⫼≴∭⊉10211⨒≴∭⊉24434≥⨤⩑≴∭⊉5244)","cot":[{"info":"≴∭⊉25540⋐⇩⊬=≴∭⊉25540","layer":3},{"info":"≴∭⊉33444⇤≴∭⊉4156=≴∭⊉-253222","layer":3},{"info":"≴∭⊉25540↢≴∭⊉-253222=≴∭⊉24246","layer":2},{"info":"≴∭⊉24246⇉⇉=≴∭⊉-3343120","layer":1},{"info":"≴∭⊉25221⊝⪿⪼≴∭⊉24331=≴∭⊉464666","layer":3},{"info":"≴∭⊉15645∑⇟⊟≴∭⊉10451=NaN","layer":3},{"info":"≴∭⊉464666⪨≂NaN=NaN","layer":2},{"info":"≴∭⊉11251⪛⫼≴∭⊉10211=≴∭⊉2552","layer":3},{"info":"≴∭⊉24434≥⨤⩑≴∭⊉5244=≴∭⊉3412","layer":3},{"info":"≴∭⊉2552⨒≴∭⊉3412=≴∭⊉-21564","layer":2},{"info":"NaN⊉≛↸≴∭⊉-21564=NaN","layer":1},{"info":"≴∭⊉-3343120≎⪠NaN=≴∭⊉111010","layer":0}]}
+{"id":311,"expression_no_base_symbol":"(↑(↽≂$5117$))⨔⇊(($2318$⫡⨏$1387$)⫲⨊)⪢((⊈$1885$)⇍⊗$6956$⋕⪉⪜$2413$⫰⋱$2937$⊝⪿⪼$2847$≒∊(⫓⪴$1751$))","expression":"(↑(↽≂≴∭⊉20630))⨔⇊((≴∭⊉6521⫡⨏≴∭⊉4021)⫲⨊)⪢((⊈≴∭⊉5332)⇍⊗≴∭⊉26165⋕⪉��≴∭⊉10015⫰⋱≴∭⊉11364⊝⪿⪼≴∭⊉11205≒∊(⫓⪴≴∭⊉5051))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":46089,"operation_count":13,"complexity_ratio":3545.3076923076924,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":5117,"base":7}}},"right_expr":{"type":"unary","operator":"⫲⨊","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2318,"base":7},"right_expr":{"type":"numeric_atoms","value":1387,"base":7}}}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"numeric_atoms","value":1885,"base":7}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":6956,"base":7},"right_expr":{"type":"numeric_atoms","value":2413,"base":7}}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":2937,"base":7},"right_expr":{"type":"numeric_atoms","value":2847,"base":7}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1751,"base":7}}}}},"used_operators":["dWAJyo7jo9","JclMnS0uGI","tR7O2zTn5j","u6S6b8DprG","CArV6hThFE","QMFrweE19q","6o9Blt3TJ6","5uvYHDjeKN","RHru8klgy8","z6LnFrNh4i","5KTvxBwnZo","3Oe9XWJUTD","eLxqMNBOBk"],"dependent_operators":["k8jYdgA6NY","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","WmT3o8z6ya","uFcxV4UQCh","2DDjHMKMc0","B3sABdIn96","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","12rbrZMWeM","xUOZtlo3hN","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5117","layer":4},{"info":"compute unary expreesion, input=5117, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-10234","layer":3},{"info":"compute unary expreesion, input=-10234, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":2},{"info":"number node, value=2318","layer":4},{"info":"number node, value=1387","layer":4},{"info":"compute binary expreesion, left_input=2318, right_input=1387, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=15147","layer":3},{"info":"compute unary expreesion, input=15147, op_id = CArV6hThFE, unary_op_definition = 'a⫲⨊ = { ((332≫≃)⪹) , if a==35 ; ((a⋘⨑⨽)⋝⋈⪟(a⪛290)) , else }', output=76518","layer":2},{"info":"compute binary expreesion, left_input=192, right_input=76518, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=76518","layer":1},{"info":"number node, value=1885","layer":4},{"info":"compute unary expreesion, input=1885, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-2059","layer":3},{"info":"number node, value=6956","layer":4},{"info":"number node, value=2413","layer":4},{"info":"compute binary expreesion, left_input=6956, right_input=2413, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":3},{"info":"compute binary expreesion, left_input=-2059, right_input=2802, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":2},{"info":"number node, value=2937","layer":4},{"info":"number node, value=2847","layer":4},{"info":"compute binary expreesion, left_input=2937, right_input=2847, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=42331","layer":3},{"info":"number node, value=1751","layer":4},{"info":"compute unary expreesion, input=1751, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=3066001","layer":3},{"info":"compute binary expreesion, left_input=42331, right_input=3066001, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-41847","layer":2},{"info":"compute binary expreesion, left_input=-244, right_input=-41847, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=42158","layer":1},{"info":"compute binary expreesion, left_input=76518, right_input=42158, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":0}],"base":7,"result_base":7,"text":"(↑(↽≂≴∭⊉20630))⨔⇊((≴∭⊉6521⫡⨏≴∭⊉4021)⫲⨊)⪢((⊈≴∭⊉5332)⇍⊗≴∭⊉26165⋕⪉⪜≴∭⊉10015⫰⋱≴∭⊉11364⊝⪿⪼≴∭⊉11205≒∊(⫓⪴≴∭⊉5051))=NaN","reverse_text":"NaN=(↑(↽≂≴∭⊉20630))⨔⇊((≴∭⊉6521⫡⨏≴∭⊉4021)⫲⨊)⪢((⊈≴∭⊉5332)⇍⊗≴∭⊉26165⋕⪉⪜≴∭⊉10015⫰⋱≴∭⊉11364⊝⪿⪼≴∭⊉11205≒∊(⫓⪴≴∭⊉5051))","cot":[{"info":"↽≂≴∭⊉20630=≴∭⊉-41560","layer":3},{"info":"↑≴∭⊉-41560=≴∭⊉363","layer":2},{"info":"≴∭⊉6521⫡⨏≴∭⊉4021=≴∭⊉62106","layer":3},{"info":"≴∭⊉62106⫲⨊=≴∭⊉436041","layer":2},{"info":"≴∭⊉363⨔⇊≴∭⊉436041=≴∭⊉436041","layer":1},{"info":"⊈≴∭⊉5332=≴∭⊉-6001","layer":3},{"info":"≴∭⊉26165⋕⪉⪜≴∭⊉10015=≴∭⊉11112","layer":3},{"info":"≴∭⊉-6001⇍⊗≴∭⊉11112=≴∭⊉-466","layer":2},{"info":"≴∭⊉11364⊝⪿⪼≴∭⊉11205=≴∭⊉234262","layer":3},{"info":"⫓⪴≴∭⊉5051=≴∭⊉35026531","layer":3},{"info":"≴∭⊉234262≒∊≴∭⊉35026531=≴∭⊉-233001","layer":2},{"info":"≴∭⊉-466⫰⋱≴∭⊉-233001=≴∭⊉233624","layer":1},{"info":"≴∭⊉436041⪢≴∭⊉233624=NaN","layer":0}]}
+{"id":312,"expression_no_base_symbol":"($4207$⇻⋧≁$2057$⩦($5847$≬⇓$1311$)≓∲$1030$≝⊿$3089$⨽(⊆⋠$1223$))⇤(↨(⋃$1320$∥⊢⊲$1440$))","expression":"(≴∭⊉15160⇻⋧≁≴∭⊉5666⩦(≴∭⊉23022≬⇓≴∭⊉3552)≓∲≴∭⊉3001≝⊿≴∭⊉12002⨽(⊆⋠≴∭⊉3365))⇤(↨(⋃≴∭⊉3564∥⊢⊲≴∭⊉4125))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":12472,"operation_count":11,"complexity_ratio":1133.8181818181818,"tree":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":4207,"base":7},"right_expr":{"type":"numeric_atoms","value":2057,"base":7}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":5847,"base":7},"right_expr":{"type":"numeric_atoms","value":1311,"base":7}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":1030,"base":7},"right_expr":{"type":"numeric_atoms","value":3089,"base":7}},"right_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"numeric_atoms","value":1223,"base":7}}}},"right_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":1320,"base":7},"right_expr":{"type":"numeric_atoms","value":1440,"base":7}}}}},"used_operators":["YSKBFp38Pu","s1XTVnmDOJ","0kmYd0q39Y","jCPkEVoL5K","jWTQ2TZYIH","8HhzD0ZcuI","OKKcZfAt5B","EBhcHTkKd8","jiX4gk2v2Q","3mBM5G4a3l","v1UQAVDJRr"],"dependent_operators":["rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","12rbrZMWeM","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","rGHVDoGpnC","oZj3VtZNQx","g55IO6H4Gj","EBcxylXtPf","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4207","layer":4},{"info":"number node, value=2057","layer":4},{"info":"compute binary expreesion, left_input=4207, right_input=2057, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"number node, value=5847","layer":4},{"info":"number node, value=1311","layer":4},{"info":"compute binary expreesion, left_input=5847, right_input=1311, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=-22, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=-5345","layer":2},{"info":"number node, value=1030","layer":4},{"info":"number node, value=3089","layer":4},{"info":"compute binary expreesion, left_input=1030, right_input=3089, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-7741","layer":3},{"info":"number node, value=1223","layer":4},{"info":"compute unary expreesion, input=1223, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-7741, right_input=0, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-179767929","layer":2},{"info":"compute binary expreesion, left_input=-5345, right_input=-179767929, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=67","layer":1},{"info":"number node, value=1320","layer":4},{"info":"number node, value=1440","layer":4},{"info":"compute binary expreesion, left_input=1320, right_input=1440, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉15160⇻⋧≁≴∭⊉5666⩦(≴∭⊉23022≬⇓≴∭⊉3552)≓∲≴∭⊉3001≝⊿≴∭⊉12002⨽(⊆⋠≴∭⊉3365))⇤(↨(⋃≴∭⊉3564∥⊢⊲≴∭⊉4125))=NaN","reverse_text":"NaN=(≴∭⊉15160⇻⋧≁≴∭⊉5666⩦(≴∭⊉23022≬⇓≴∭⊉3552)≓∲≴∭⊉3001≝⊿≴∭⊉12002⨽(⊆⋠≴∭⊉3365))⇤(↨(⋃≴∭⊉3564∥⊢⊲≴∭⊉4125))","cot":[{"info":"≴∭⊉15160⇻⋧≁≴∭⊉5666=≴∭⊉-1206","layer":3},{"info":"≴∭⊉23022≬⇓≴∭⊉3552=≴∭⊉-31","layer":3},{"info":"≴∭⊉-1206⩦≴∭⊉-31=≴∭⊉-21404","layer":2},{"info":"≴∭⊉3001≝⊿≴∭⊉12002=≴∭⊉-31366","layer":3},{"info":"⊆⋠≴∭⊉3365=≴∭⊉0","layer":3},{"info":"≴∭⊉-31366⨽≴∭⊉0=≴∭⊉-4312000515","layer":2},{"info":"≴∭⊉-21404≓∲≴∭⊉-4312000515=≴∭⊉124","layer":1},{"info":"≴∭⊉3564∥⊢⊲≴∭⊉4125=NaN","layer":3},{"info":"⋃NaN=NaN","layer":2},{"info":"↨NaN=NaN","layer":1},{"info":"≴∭⊉124⇤NaN=NaN","layer":0}]}
+{"id":313,"expression_no_base_symbol":"(($2382$⫩⊇)⫩⊇)⪪($5328$⪔$1062$⨽⪊≇)⫢⨠(($4939$⋅⇍$3687$)≦↸(⨣⨃⇪$3141$)⊹∫⫚($1037$+$3154$)≀⫉$8060$⪘⫢$5037$)","expression":"((≴∭⊉6642⫩⊇)⫩⊇)⪪(≴∭⊉21351⪔≴∭⊉3045⨽⪊≇)⫢⨠((≴∭⊉20254⋅⇍≴∭⊉13515)≦↸(⨣⨃⇪≴∭⊉12105)⊹∫⫚(≴∭⊉3011+≴∭⊉12124)≀⫉≴∭⊉32333⪘⫢≴∭⊉20454)","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":10578,"operation_count":13,"complexity_ratio":813.6923076923077,"tree":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":2382,"base":7}}},"right_expr":{"type":"unary","operator":"⨽⪊≇","unary_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":5328,"base":7},"right_expr":{"type":"numeric_atoms","value":1062,"base":7}}}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":4939,"base":7},"right_expr":{"type":"numeric_atoms","value":3687,"base":7}},"right_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"numeric_atoms","value":3141,"base":7}}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1037,"base":7},"right_expr":{"type":"numeric_atoms","value":3154,"base":7}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":8060,"base":7},"right_expr":{"type":"numeric_atoms","value":5037,"base":7}}}}},"used_operators":["xlXykHWxX1","xD69zh8xqp","BjRHVeLaeN","nlCqmYiOvY","GjBEYRfMaF","uWAJUKEvyW","RygbFNSyEJ","AdZkA7nFnk","AcOhelriW5","oZj3VtZNQx","W4YGzv6Whe","oacrs7FA3X"],"dependent_operators":["KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","FU0Cs4j7VP","JclMnS0uGI","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","sdazOOVcIp","XIabStNQrY","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"≴∭⊉33123510","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2382","layer":4},{"info":"compute unary expreesion, input=2382, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-2340","layer":3},{"info":"compute unary expreesion, input=-2340, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=2382","layer":2},{"info":"number node, value=5328","layer":4},{"info":"number node, value=1062","layer":4},{"info":"compute binary expreesion, left_input=5328, right_input=1062, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"compute unary expreesion, input=450, op_id = nlCqmYiOvY, unary_op_definition = 'a⨽⪊≇ = { ((a⇋≉)⪨≂(a+216)) }', output=374","layer":2},{"info":"compute binary expreesion, left_input=2382, right_input=374, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-355771","layer":1},{"info":"number node, value=4939","layer":4},{"info":"number node, value=3687","layer":4},{"info":"compute binary expreesion, left_input=4939, right_input=3687, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"number node, value=3141","layer":4},{"info":"compute unary expreesion, input=3141, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=1405, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-2085","layer":2},{"info":"number node, value=1037","layer":4},{"info":"number node, value=3154","layer":4},{"info":"compute binary expreesion, left_input=1037, right_input=3154, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4191","layer":3},{"info":"number node, value=8060","layer":4},{"info":"number node, value=5037","layer":4},{"info":"compute binary expreesion, left_input=8060, right_input=5037, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=15996","layer":3},{"info":"compute binary expreesion, left_input=4191, right_input=15996, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":2},{"info":"compute binary expreesion, left_input=-2085, right_input=2822, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-196","layer":1},{"info":"compute binary expreesion, left_input=-355771, right_input=-196, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=2846466","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉6642⫩⊇)⫩⊇)⪪(≴∭⊉21351⪔≴∭⊉3045⨽⪊≇)⫢⨠((≴∭⊉20254⋅⇍≴∭⊉13515)≦↸(⨣⨃⇪≴∭⊉12105)⊹∫⫚(≴∭⊉3011+≴∭⊉12124)≀⫉≴∭⊉32333⪘⫢≴∭⊉20454)=≴∭⊉33123510","reverse_text":"≴∭⊉33123510=((≴∭⊉6642⫩⊇)⫩⊇)⪪(≴∭⊉21351⪔≴∭⊉3045⨽⪊≇)⫢⨠((≴∭⊉20254⋅⇍≴∭⊉13515)≦↸(⨣⨃⇪≴∭⊉12105)⊹∫⫚(≴∭⊉3011+≴∭⊉12124)≀⫉≴∭⊉32333⪘⫢≴∭⊉20454)","cot":[{"info":"≴∭⊉6642⫩⊇=≴∭⊉-6552","layer":3},{"info":"≴∭⊉-6552⫩⊇=≴∭⊉6642","layer":2},{"info":"≴∭⊉21351⪔≴∭⊉3045=≴∭⊉1212","layer":3},{"info":"≴∭⊉1212⨽⪊≇=≴∭⊉1043","layer":2},{"info":"≴∭⊉6642⪪≴∭⊉1043=≴∭⊉-3011143","layer":1},{"info":"≴∭⊉20254⋅⇍≴∭⊉13515=≴∭⊉-31","layer":3},{"info":"⨣⨃⇪≴∭⊉12105=≴∭⊉4045","layer":3},{"info":"≴∭⊉-31≦↸≴∭⊉4045=≴∭⊉-6036","layer":2},{"info":"≴∭⊉3011+≴∭⊉12124=≴∭⊉15135","layer":3},{"info":"≴∭⊉32333⪘⫢≴∭⊉20454=≴∭⊉64431","layer":3},{"info":"≴∭⊉15135≀⫉≴∭⊉64431=≴∭⊉11141","layer":2},{"info":"≴∭⊉-6036⊹∫⫚≴∭⊉11141=≴∭⊉-400","layer":1},{"info":"≴∭⊉-3011143⫢⨠≴∭⊉-400=≴∭⊉33123510","layer":0}]}
+{"id":314,"expression_no_base_symbol":"(($2340$⪍↜⋙$2287$)↬(⊲⪭$1282$))↼⊘⨖($6042$≨$1090$≎⊠⪸$3256$∌↝$2909$)⨳⩥⨓(($3463$⨰$4937$)⋕⪉⪜($3510$⨚⇆$1569$)*$3566$⩘$1721$+⇶⊼($1242$↱$7330$))","expression":"((≴∭⊉6552⪍↜⋙≴∭⊉6445)↬(⊲⪭≴∭⊉3511))↼⊘⨖(≴∭⊉23421≨≴∭⊉3115≎⊠⪸≴∭⊉12331∌↝≴∭⊉11324)⨳⩥⨓((≴∭⊉13045⨰≴∭⊉20252)⋕⪉⪜(≴∭⊉13143⨚⇆≴∭⊉4401)*≴∭⊉13253⩘≴∭⊉5006+⇶⊼(≴∭⊉3423↱≴∭⊉30241))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":25165,"operation_count":15,"complexity_ratio":1677.6666666666667,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":2340,"base":7},"right_expr":{"type":"numeric_atoms","value":2287,"base":7}},"right_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"numeric_atoms","value":1282,"base":7}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":6042,"base":7},"right_expr":{"type":"numeric_atoms","value":1090,"base":7}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":3256,"base":7},"right_expr":{"type":"numeric_atoms","value":2909,"base":7}}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":3463,"base":7},"right_expr":{"type":"numeric_atoms","value":4937,"base":7}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":3510,"base":7},"right_expr":{"type":"numeric_atoms","value":1569,"base":7}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":3566,"base":7},"right_expr":{"type":"numeric_atoms","value":1721,"base":7}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":1242,"base":7},"right_expr":{"type":"numeric_atoms","value":7330,"base":7}}}}},"used_operators":["nCS4ZIUYfx","bPywburJMS","B5M0gjZbta","L05ObWFQCd","k7HXdKtiEU","bJkvcejdHO","0KMCeP1Jsh","9Isq31Ruls","9HNa5Wba9A","z6LnFrNh4i","eewbuw0ToL","lwHaAYXP2r","TpPTUOHfaN","cHh1gJQ2o6","SR5kFfdi6N"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","i8ToyICDmI","xUOZtlo3hN","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","W4YGzv6Whe","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","AHs5Up7iyr","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2340","layer":4},{"info":"number node, value=2287","layer":4},{"info":"compute binary expreesion, left_input=2340, right_input=2287, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=106","layer":3},{"info":"number node, value=1282","layer":4},{"info":"compute unary expreesion, input=1282, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-1456","layer":3},{"info":"compute binary expreesion, left_input=106, right_input=-1456, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=6042","layer":4},{"info":"number node, value=1090","layer":4},{"info":"compute binary expreesion, left_input=6042, right_input=1090, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-57944","layer":3},{"info":"number node, value=3256","layer":4},{"info":"number node, value=2909","layer":4},{"info":"compute binary expreesion, left_input=3256, right_input=2909, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-57944, right_input=0, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=15007496","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=15007496, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=30014770","layer":1},{"info":"number node, value=3463","layer":4},{"info":"number node, value=4937","layer":4},{"info":"compute binary expreesion, left_input=3463, right_input=4937, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1464","layer":3},{"info":"number node, value=3510","layer":4},{"info":"number node, value=1569","layer":4},{"info":"compute binary expreesion, left_input=3510, right_input=1569, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1464, right_input=nan, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":2},{"info":"number node, value=3566","layer":4},{"info":"number node, value=1721","layer":4},{"info":"compute binary expreesion, left_input=3566, right_input=1721, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"number node, value=1242","layer":4},{"info":"number node, value=7330","layer":4},{"info":"compute binary expreesion, left_input=1242, right_input=7330, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-21468","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-21468, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=204, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=30014770, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉6552⪍↜⋙≴∭⊉6445)↬(⊲⪭≴∭⊉3511))↼⊘⨖(≴∭⊉23421≨≴∭⊉3115≎⊠⪸≴∭⊉12331∌↝≴∭⊉11324)⨳⩥⨓((≴∭⊉13045⨰≴∭⊉20252)⋕⪉⪜(≴∭⊉13143⨚⇆≴∭⊉4401)*≴∭⊉13253⩘≴∭⊉5006+⇶⊼(≴∭⊉3423↱≴∭⊉30241))=NaN","reverse_text":"NaN=((≴∭⊉6552⪍↜⋙≴∭⊉6445)↬(⊲⪭≴∭⊉3511))↼⊘⨖(≴∭⊉23421≨≴∭⊉3115≎⊠⪸≴∭⊉12331∌↝≴∭⊉11324)⨳⩥⨓((≴∭⊉13045⨰≴∭⊉20252)⋕⪉⪜(≴∭⊉13143⨚⇆≴∭⊉4401)*≴∭⊉13253⩘≴∭⊉5006+⇶⊼(≴∭⊉3423↱≴∭⊉30241))","cot":[{"info":"≴∭⊉6552⪍↜⋙≴∭⊉6445=≴∭⊉211","layer":3},{"info":"⊲⪭≴∭⊉3511=≴∭⊉-4150","layer":3},{"info":"≴∭⊉211↬≴∭⊉-4150=NaN","layer":2},{"info":"≴∭⊉23421≨≴∭⊉3115=≴∭⊉-330635","layer":3},{"info":"≴∭⊉12331∌↝≴∭⊉11324=≴∭⊉0","layer":3},{"info":"≴∭⊉-330635≎⊠⪸≴∭⊉0=≴∭⊉241363430","layer":2},{"info":"NaN↼⊘⨖≴∭⊉241363430=≴∭⊉513056422","layer":1},{"info":"≴∭⊉13045⨰≴∭⊉20252=≴∭⊉-4161","layer":3},{"info":"≴∭⊉13143⨚⇆≴∭⊉4401=NaN","layer":3},{"info":"≴∭⊉-4161⋕⪉⪜NaN=≴∭⊉411","layer":2},{"info":"≴∭⊉13253⩘≴∭⊉5006=≴∭⊉316","layer":3},{"info":"≴∭⊉3423↱≴∭⊉30241=≴∭⊉-116406","layer":3},{"info":"≴∭⊉316+⇶⊼≴∭⊉-116406=NaN","layer":2},{"info":"≴∭⊉411*NaN=NaN","layer":1},{"info":"≴∭⊉513056422⨳⩥⨓NaN=NaN","layer":0}]}
+{"id":315,"expression_no_base_symbol":"(($3584$⊕∕$4944$⪨≂($5115$⋐⇩⊬))⨑≵⋬$3127$∛$7314$⪮%⊝$4101$⨽∌$2050$)⨳⩥⨓($2781$⨽∌$2259$⫘($1718$≑≱⪘)⩟)","expression":"((≴∭⊉13310⊕∕≴∭⊉20262⪨≂(≴∭⊉20625⋐⇩⊬))⨑≵⋬≴∭⊉12055∛≴∭⊉30216⪮%⊝≴∭⊉14646⨽∌≴∭⊉5656)⨳⩥⨓(≴∭⊉11052⨽∌≴∭⊉6405⫘(≴∭⊉5003≑≱⪘)⩟)","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":441,"operation_count":12,"complexity_ratio":36.75,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":3584,"base":7},"right_expr":{"type":"numeric_atoms","value":4944,"base":7}},"right_expr":{"type":"unary","operator":"⋐⇩⊬","unary_expr":{"type":"numeric_atoms","value":5115,"base":7}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":3127,"base":7},"right_expr":{"type":"numeric_atoms","value":7314,"base":7}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":4101,"base":7},"right_expr":{"type":"numeric_atoms","value":2050,"base":7}}}},"right_expr":{"type":"unary","operator":"⩟","unary_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":2781,"base":7},"right_expr":{"type":"numeric_atoms","value":2259,"base":7}},"right_expr":{"type":"unary","operator":"≑≱⪘","unary_expr":{"type":"numeric_atoms","value":1718,"base":7}}}}},"used_operators":["nCS4ZIUYfx","XnXgA4xnOs","sdazOOVcIp","9cloC0Ngie","JuuLT1NoCs","IWmyXbctLI","w2537kitQq","9samAPKr6k","fOIeswaMU4","48vC8HMD2b","tGSeddj7UK"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","mp7IySMOzn","JclMnS0uGI","ddLRYrp01A","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","W4YGzv6Whe","Qy55tPpLXF","8w2t5hMYqp","12rbrZMWeM","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3584","layer":4},{"info":"number node, value=4944","layer":4},{"info":"compute binary expreesion, left_input=3584, right_input=4944, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=3584","layer":3},{"info":"number node, value=5115","layer":4},{"info":"compute unary expreesion, input=5115, op_id = JuuLT1NoCs, unary_op_definition = 'a⋐⇩⊬ = { (a⨔⇊a) , if (a∊∟⩊189)<=582 ; (a⇷a) , else }', output=5115","layer":3},{"info":"compute binary expreesion, left_input=3584, right_input=5115, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-2960","layer":2},{"info":"number node, value=3127","layer":4},{"info":"number node, value=7314","layer":4},{"info":"compute binary expreesion, left_input=3127, right_input=7314, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"number node, value=4101","layer":4},{"info":"number node, value=2050","layer":4},{"info":"compute binary expreesion, left_input=4101, right_input=2050, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-670, right_input=0, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-2960, right_input=nan, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=nan","layer":1},{"info":"number node, value=2781","layer":4},{"info":"number node, value=2259","layer":4},{"info":"compute binary expreesion, left_input=2781, right_input=2259, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"number node, value=1718","layer":4},{"info":"compute unary expreesion, input=1718, op_id = tGSeddj7UK, unary_op_definition = 'a≑≱⪘ = { ((⊄⩳↩(6≧⫂∧a))⩍⋽⫝̸((a⊲⩕⊾a)≦↸(a⋆⋳))) , if (a↹⊜255)>=30 or (a↯⫤)>122 ; ((a⩷∴(a⪒⊣⊆a))⨽(a⊬⫿⊭)) , else }', output=41033","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=41033, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = fOIeswaMU4, unary_op_definition = 'a⩟ = { (⊄⩳↩((a⋳⪒a)+(155⋥≓≎a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉13310⊕∕≴∭⊉20262⪨≂(≴∭⊉20625⋐⇩⊬))⨑≵⋬≴∭⊉12055∛≴∭⊉30216⪮%⊝≴∭⊉14646⨽∌≴∭⊉5656)⨳⩥⨓(≴∭⊉11052⨽∌≴∭⊉6405⫘(≴∭⊉5003≑≱⪘)⩟)=NaN","reverse_text":"NaN=((≴∭⊉13310⊕∕≴∭⊉20262⪨≂(≴∭⊉20625⋐⇩⊬))⨑≵⋬≴∭⊉12055∛≴∭⊉30216⪮%⊝≴∭⊉14646⨽∌≴∭⊉5656)⨳⩥⨓(≴∭⊉11052⨽∌≴∭⊉6405⫘(≴∭⊉5003≑≱⪘)⩟)","cot":[{"info":"≴∭⊉13310⊕∕≴∭⊉20262=≴∭⊉13310","layer":3},{"info":"≴∭⊉20625⋐⇩⊬=≴∭⊉20625","layer":3},{"info":"≴∭⊉13310⪨≂≴∭⊉20625=≴∭⊉-11426","layer":2},{"info":"≴∭⊉12055∛≴∭⊉30216=≴∭⊉-1645","layer":3},{"info":"≴∭⊉14646⨽∌≴∭⊉5656=≴∭⊉0","layer":3},{"info":"≴∭⊉-1645⪮%⊝≴∭⊉0=NaN","layer":2},{"info":"≴∭⊉-11426⨑≵⋬NaN=NaN","layer":1},{"info":"≴∭⊉11052⨽∌≴∭⊉6405=≴∭⊉0","layer":3},{"info":"≴∭⊉5003≑≱⪘=≴∭⊉230426","layer":3},{"info":"≴∭⊉0⫘≴∭⊉230426=NaN","layer":2},{"info":"NaN⩟=NaN","layer":1},{"info":"NaN⨳⩥⨓NaN=NaN","layer":0}]}
+{"id":316,"expression_no_base_symbol":"((≻⋜$1390$)⫸⇳$1306$→⨶⪴$5562$)→⨶⪴($2289$⋛$2796$)⨐($2387$+⪬∐$3292$)⨒($3045$⋭≵$1925$*($4287$⩨$4389$))⋥⋵⩄($4349$⨟⋌⩍$1512$⊉≛↸$3319$∠↢$1424$)","expression":"((≻⋜≴∭⊉4024)⫸⇳≴∭⊉3544→⨶⪴≴∭⊉22134)→⨶⪴(≴∭⊉6450⋛≴∭⊉11103)⨐(≴∭⊉6650+⪬∐≴∭⊉12412)⨒(≴∭⊉11610⋭≵≴∭⊉5420*(≴∭⊉15333⩨≴∭⊉15540))⋥⋵⩄(≴∭⊉15452⨟⋌⩍≴∭⊉4260⊉≛↸≴∭⊉12451∠↢≴∭⊉4103)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":8331,"operation_count":15,"complexity_ratio":555.4,"tree":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"numeric_atoms","value":1390,"base":7}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":1306,"base":7},"right_expr":{"type":"numeric_atoms","value":5562,"base":7}}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":2289,"base":7},"right_expr":{"type":"numeric_atoms","value":2796,"base":7}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":2387,"base":7},"right_expr":{"type":"numeric_atoms","value":3292,"base":7}}}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":3045,"base":7},"right_expr":{"type":"numeric_atoms","value":1925,"base":7}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":4287,"base":7},"right_expr":{"type":"numeric_atoms","value":4389,"base":7}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":4349,"base":7},"right_expr":{"type":"numeric_atoms","value":1512,"base":7}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":3319,"base":7},"right_expr":{"type":"numeric_atoms","value":1424,"base":7}}}}},"used_operators":["y75s1iXyHd","bF6eod5Gvf","gx7XJ7hdpj","3tj9sqzovi","Noe24qw2ks","YbUVn0Rbpy","2GS7woTJqF","7t3wd0Fuz7","9HNa5Wba9A","jBncVCNhdl","2DlMacCsIx","DZ8iAZOCBD","rGHVDoGpnC","KbjG8mgYpV"],"dependent_operators":["srAu1WTS94","oacrs7FA3X","7qqUquhhSb","8w2t5hMYqp","9FxExcQeMw","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","g55IO6H4Gj","D4vGDi5EA2","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","W4YGzv6Whe","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1390","layer":4},{"info":"compute unary expreesion, input=1390, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":3},{"info":"number node, value=1306","layer":4},{"info":"number node, value=5562","layer":4},{"info":"compute binary expreesion, left_input=1306, right_input=5562, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-16686","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-16686, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=nan","layer":2},{"info":"number node, value=2289","layer":4},{"info":"number node, value=2796","layer":4},{"info":"compute binary expreesion, left_input=2289, right_input=2796, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-111591","layer":3},{"info":"number node, value=2387","layer":4},{"info":"number node, value=3292","layer":4},{"info":"compute binary expreesion, left_input=2387, right_input=3292, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-7161","layer":3},{"info":"compute binary expreesion, left_input=-111591, right_input=-7161, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=223182","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=223182, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-669546","layer":1},{"info":"number node, value=3045","layer":4},{"info":"number node, value=1925","layer":4},{"info":"compute binary expreesion, left_input=3045, right_input=1925, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"number node, value=4287","layer":4},{"info":"number node, value=4389","layer":4},{"info":"compute binary expreesion, left_input=4287, right_input=4389, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=-3, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-201","layer":2},{"info":"number node, value=4349","layer":4},{"info":"number node, value=1512","layer":4},{"info":"compute binary expreesion, left_input=4349, right_input=1512, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=3319","layer":4},{"info":"number node, value=1424","layer":4},{"info":"compute binary expreesion, left_input=3319, right_input=1424, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-32130","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-32130, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-201, right_input=nan, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-669546, right_input=nan, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((≻⋜≴∭⊉4024)⫸⇳≴∭⊉3544→⨶⪴≴∭⊉22134)→⨶⪴(≴∭⊉6450⋛≴∭⊉11103)⨐(≴∭⊉6650+⪬∐≴∭⊉12412)⨒(≴∭⊉11610⋭≵≴∭⊉5420*(≴∭⊉15333⩨≴∭⊉15540))⋥⋵⩄(≴∭⊉15452⨟⋌⩍≴∭⊉4260⊉≛↸≴∭⊉12451∠↢≴∭⊉4103)=NaN","reverse_text":"NaN=((≻⋜≴∭⊉4024)⫸⇳≴∭⊉3544→⨶⪴≴∭⊉22134)→⨶⪴(≴∭⊉6450⋛≴∭⊉11103)⨐(≴∭⊉6650+⪬∐≴∭⊉12412)⨒(≴∭⊉11610⋭≵≴∭⊉5420*(≴∭⊉15333⩨≴∭⊉15540))⋥⋵⩄(≴∭⊉15452⨟⋌⩍≴∭⊉4260⊉≛↸≴∭⊉12451∠↢≴∭⊉4103)","cot":[{"info":"≻⋜≴∭⊉4024=NaN","layer":3},{"info":"≴∭⊉3544→⨶⪴≴∭⊉22134=≴∭⊉-66435","layer":3},{"info":"NaN⫸⇳≴∭⊉-66435=NaN","layer":2},{"info":"≴∭⊉6450⋛≴∭⊉11103=≴∭⊉-643224","layer":3},{"info":"≴∭⊉6650+⪬∐≴∭⊉12412=≴∭⊉-26610","layer":3},{"info":"≴∭⊉-643224⨐≴∭⊉-26610=≴∭⊉1616451","layer":2},{"info":"NaN→⨶⪴≴∭⊉1616451=≴∭⊉-5456013","layer":1},{"info":"≴∭⊉11610⋭≵≴∭⊉5420=≴∭⊉124","layer":3},{"info":"≴∭⊉15333⩨≴∭⊉15540=≴∭⊉-3","layer":3},{"info":"≴∭⊉124*≴∭⊉-3=≴∭⊉-405","layer":2},{"info":"≴∭⊉15452⨟⋌⩍≴∭⊉4260=NaN","layer":3},{"info":"≴∭⊉12451∠↢≴∭⊉4103=≴∭⊉-162450","layer":3},{"info":"NaN⊉≛↸≴∭⊉-162450=NaN","layer":2},{"info":"≴∭⊉-405⋥⋵⩄NaN=NaN","layer":1},{"info":"≴∭⊉-5456013⨒NaN=NaN","layer":0}]}
+{"id":317,"expression_no_base_symbol":"(($6391$⋘⨑⨽)⊢$1066$⫁$3512$)⊮⊟↴(↽≂$3972$⩺⪪$3206$)⇴∐(≀↧⇸($3208$⪇≇⋚$1271$))⪍↜⋙($1255$∌$2483$⨰($2561$∪⫐$1239$))","expression":"((≴∭⊉24430⋘⨑⨽)⊢≴∭⊉3052⫁≴∭⊉13145)⊮⊟↴(↽≂≴∭⊉14403⩺⪪≴∭⊉12230)⇴∐(≀↧⇸(≴∭⊉12232⪇≇⋚≴∭⊉3464))⪍↜⋙(≴∭⊉3442∌≴∭⊉10145⨰(≴∭⊉10316∪⫐≴∭⊉3420))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":367,"operation_count":13,"complexity_ratio":28.23076923076923,"tree":{"type":"binary","operator":"⇴∐","left_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"unary","operator":"⋘⨑⨽","unary_expr":{"type":"numeric_atoms","value":6391,"base":7}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":1066,"base":7},"right_expr":{"type":"numeric_atoms","value":3512,"base":7}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":3972,"base":7},"right_expr":{"type":"numeric_atoms","value":3206,"base":7}}}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":3208,"base":7},"right_expr":{"type":"numeric_atoms","value":1271,"base":7}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":1255,"base":7},"right_expr":{"type":"numeric_atoms","value":2483,"base":7}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":2561,"base":7},"right_expr":{"type":"numeric_atoms","value":1239,"base":7}}}}},"used_operators":["HnzytWxmAO","QDVgd2eftb","5twsqlHp2o","WmT3o8z6ya","0ajvFaJAv0","u6S6b8DprG","uvdQJvN4PV","L05ObWFQCd","ljTHtUsqzn","3sJ7IOPOlU","eewbuw0ToL","8cLx32lpNA","7YooWSwCyH"],"dependent_operators":["2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","W4YGzv6Whe","DpFCA1CohY","N41Kp7NANJ","8w2t5hMYqp","QMFrweE19q","cHh1gJQ2o6","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","XPYlsWDdGa","23Mk6UjR3U","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","rJVOvQCfKK","2DDjHMKMc0"],"result":"≴∭⊉-224","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6391","layer":4},{"info":"compute unary expreesion, input=6391, op_id = WmT3o8z6ya, unary_op_definition = 'a⋘⨑⨽ = { ((a⫡⨏a)+(a≋⫹)) , if (⊄⩳↩a)!=44 ; (⋗⩬⋾(394+a)) , else }', output=32738","layer":3},{"info":"number node, value=1066","layer":4},{"info":"number node, value=3512","layer":4},{"info":"compute binary expreesion, left_input=1066, right_input=3512, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=32738, right_input=160, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-65720","layer":2},{"info":"number node, value=3972","layer":4},{"info":"number node, value=3206","layer":4},{"info":"compute binary expreesion, left_input=3972, right_input=3206, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-13154","layer":3},{"info":"compute unary expreesion, input=-13154, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=26308","layer":2},{"info":"compute binary expreesion, left_input=-65720, right_input=26308, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":1},{"info":"number node, value=3208","layer":4},{"info":"number node, value=1271","layer":4},{"info":"compute binary expreesion, left_input=3208, right_input=1271, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=0","layer":2},{"info":"number node, value=1255","layer":4},{"info":"number node, value=2483","layer":4},{"info":"compute binary expreesion, left_input=1255, right_input=2483, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-2483","layer":3},{"info":"number node, value=2561","layer":4},{"info":"number node, value=1239","layer":4},{"info":"compute binary expreesion, left_input=2561, right_input=1239, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=2561","layer":3},{"info":"compute binary expreesion, left_input=-2483, right_input=2561, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-5034","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-5034, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=10068","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=10068, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=-116","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉24430⋘⨑⨽)⊢≴∭⊉3052⫁≴∭⊉13145)⊮⊟↴(↽≂≴∭⊉14403⩺⪪≴∭⊉12230)⇴∐(≀↧⇸(≴∭⊉12232⪇≇⋚≴∭⊉3464))⪍↜⋙(≴∭⊉3442∌≴∭⊉10145⨰(≴∭⊉10316∪⫐≴∭⊉3420))=≴∭⊉-224","reverse_text":"≴∭⊉-224=((≴∭⊉24430⋘⨑⨽)⊢≴∭⊉3052⫁≴∭⊉13145)⊮⊟↴(↽≂≴∭⊉14403⩺⪪≴∭⊉12230)⇴∐(≀↧⇸(≴∭⊉12232⪇≇⋚≴∭⊉3464))⪍↜⋙(≴∭⊉3442∌≴∭⊉10145⨰(≴∭⊉10316∪⫐≴∭⊉3420))","cot":[{"info":"≴∭⊉24430⋘⨑⨽=≴∭⊉164306","layer":3},{"info":"≴∭⊉3052⫁≴∭⊉13145=≴∭⊉316","layer":3},{"info":"≴∭⊉164306⊢≴∭⊉316=≴∭⊉-362414","layer":2},{"info":"≴∭⊉14403⩺⪪≴∭⊉12230=≴∭⊉-53231","layer":3},{"info":"↽≂≴∭⊉-53231=≴∭⊉136462","layer":2},{"info":"≴∭⊉-362414⊮⊟↴≴∭⊉136462=≴∭⊉0","layer":1},{"info":"≴∭⊉12232⪇≇⋚≴∭⊉3464=≴∭⊉0","layer":3},{"info":"≀↧⇸≴∭⊉0=≴∭⊉0","layer":2},{"info":"≴∭⊉3442∌≴∭⊉10145=≴∭⊉-10145","layer":3},{"info":"≴∭⊉10316∪⫐≴∭⊉3420=≴∭⊉10316","layer":3},{"info":"≴∭⊉-10145⨰≴∭⊉10316=≴∭⊉-20451","layer":2},{"info":"≴∭⊉0⪍↜⋙≴∭⊉-20451=≴∭⊉41232","layer":1},{"info":"≴∭⊉0⇴∐≴∭⊉41232=≴∭⊉-224","layer":0}]}
+{"id":318,"expression_no_base_symbol":"($4887$↹⊜$2078$↸($1480$∲⫓$3699$))⊬⨰($1226$⊋$6933$+⇶⊼$6023$↤⩊$1070$)⪛⫼($1581$⨂≜$7184$≬⇓$2793$⪡$2883$)⪔⊥(⨞⊢($1009$⪓⨏))","expression":"(≴∭⊉20151↹⊜≴∭⊉6026↸(≴∭⊉4213∲⫓≴∭⊉13533))⊬⨰(≴∭⊉3401⊋≴∭⊉26133+⇶⊼≴∭⊉23363↤⩊≴∭⊉3056)⪛⫼(≴∭⊉4416⨂≜≴∭⊉26642≬⇓≴∭⊉11100⪡≴∭⊉11256)⪔⊥(⨞⊢(≴∭⊉2641⪓⨏))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":14457,"operation_count":14,"complexity_ratio":1032.642857142857,"tree":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":4887,"base":7},"right_expr":{"type":"numeric_atoms","value":2078,"base":7}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1480,"base":7},"right_expr":{"type":"numeric_atoms","value":3699,"base":7}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":1226,"base":7},"right_expr":{"type":"numeric_atoms","value":6933,"base":7}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":6023,"base":7},"right_expr":{"type":"numeric_atoms","value":1070,"base":7}}}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":1581,"base":7},"right_expr":{"type":"numeric_atoms","value":7184,"base":7}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":2793,"base":7},"right_expr":{"type":"numeric_atoms","value":2883,"base":7}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"unary","operator":"⪓⨏","unary_expr":{"type":"numeric_atoms","value":1009,"base":7}}}}},"used_operators":["hyuBjUqXlG","s3Fd5m9Dh2","1eCjFl0mb9","9bazX3JMtO","i8ToyICDmI","TpPTUOHfaN","W4tP9CfskL","13rbtpv6ld","HJ9erzHUuu","jWTQ2TZYIH","k1SHOSEABc","oraRL2iQuh","xUOZtlo3hN","4X9JU4Jbn6"],"dependent_operators":["HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","W4YGzv6Whe","t8gj7n24qd","gJLn6v0xnP","nOKPl9n5zu","W9R8I5fN5A","rxpJgHHUmx","inkyxCbjAn","z63VuFQld9","AcOhelriW5","3sJ7IOPOlU","CoMdbyAt7R","cHh1gJQ2o6","xlXykHWxX1","Nsiff2A1zJ"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4887","layer":4},{"info":"number node, value=2078","layer":4},{"info":"compute binary expreesion, left_input=4887, right_input=2078, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=1366","layer":3},{"info":"number node, value=1480","layer":4},{"info":"number node, value=3699","layer":4},{"info":"compute binary expreesion, left_input=1480, right_input=3699, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1366, right_input=0, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=1366","layer":2},{"info":"number node, value=1226","layer":4},{"info":"number node, value=6933","layer":4},{"info":"compute binary expreesion, left_input=1226, right_input=6933, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=-310719760","layer":3},{"info":"number node, value=6023","layer":4},{"info":"number node, value=1070","layer":4},{"info":"compute binary expreesion, left_input=6023, right_input=1070, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-310719760, right_input=nan, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1366, right_input=nan, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=nan","layer":1},{"info":"number node, value=1581","layer":4},{"info":"number node, value=7184","layer":4},{"info":"compute binary expreesion, left_input=1581, right_input=7184, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"number node, value=2793","layer":4},{"info":"number node, value=2883","layer":4},{"info":"compute binary expreesion, left_input=2793, right_input=2883, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=107, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":2},{"info":"number node, value=1009","layer":4},{"info":"compute unary expreesion, input=1009, op_id = 4X9JU4Jbn6, unary_op_definition = 'a⪓⨏ = { (((⨣⨃⇪a)≭(a⊊))⫢⨠((a⪇≇⋚a)⩘(413≥⨤⩑a))) , if (⇁⨣⪵a)<1 ; ((⋗⩴⪓(191∧))⫢⨠(⨛(a⊴a))) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-22, right_input=nan, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉20151↹⊜≴∭⊉6026↸(≴∭⊉4213∲⫓≴∭⊉13533))⊬⨰(≴∭⊉3401⊋≴∭⊉26133+⇶⊼≴∭⊉23363↤⩊≴∭⊉3056)⪛⫼(≴∭⊉4416⨂≜≴∭⊉26642≬⇓≴∭⊉11100⪡≴∭⊉11256)⪔⊥(⨞⊢(≴∭⊉2641⪓⨏))=NaN","reverse_text":"NaN=(≴∭⊉20151↹⊜≴∭⊉6026↸(≴∭⊉4213∲⫓≴∭⊉13533))⊬⨰(≴∭⊉3401⊋≴∭⊉26133+⇶⊼≴∭⊉23363↤⩊≴∭⊉3056)⪛⫼(≴∭⊉4416⨂≜≴∭⊉26642≬⇓≴∭⊉11100⪡≴∭⊉11256)⪔⊥(⨞⊢(≴∭⊉2641⪓⨏))","cot":[{"info":"≴∭⊉20151↹⊜≴∭⊉6026=≴∭⊉3661","layer":3},{"info":"≴∭⊉4213∲⫓≴∭⊉13533=≴∭⊉0","layer":3},{"info":"≴∭⊉3661↸≴∭⊉0=≴∭⊉3661","layer":2},{"info":"≴∭⊉3401⊋≴∭⊉26133=≴∭⊉-10462034341","layer":3},{"info":"≴∭⊉23363↤⩊≴∭⊉3056=NaN","layer":3},{"info":"≴∭⊉-10462034341+⇶⊼NaN=NaN","layer":2},{"info":"≴∭⊉3661⊬⨰NaN=NaN","layer":1},{"info":"≴∭⊉4416⨂≜≴∭⊉26642=NaN","layer":3},{"info":"≴∭⊉11100⪡≴∭⊉11256=≴∭⊉212","layer":3},{"info":"NaN≬⇓≴∭⊉212=≴∭⊉-31","layer":2},{"info":"≴∭⊉2641⪓⨏=NaN","layer":3},{"info":"⨞⊢NaN=NaN","layer":2},{"info":"≴∭⊉-31⪔⊥NaN=NaN","layer":1},{"info":"NaN⪛⫼NaN=NaN","layer":0}]}
+{"id":319,"expression_no_base_symbol":"(≘(↣≠⋷$8324$))⪥($5227$⫸⊐$1521$)⊉↱≁($6181$∲⫓$3386$)⋻⩜⩜(($1085$↡⊰⫅$2237$)⋘⨑⨽)⨿($1189$⪥$1002$∌↝($4063$≳⇉$3783$))","expression":"(≘(↣≠⋷≴∭⊉33161))⪥(≴∭⊉21145⫸⊐≴∭⊉4302)⊉↱≁(≴∭⊉24010∲⫓≴∭⊉12605)⋻⩜⩜((≴∭⊉3110↡⊰⫅≴∭⊉6344)⋘⨑⨽)⨿(≴∭⊉3316⪥≴∭⊉2631∌↝(≴∭⊉14563≳⇉≴∭⊉14013))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":160349023,"operation_count":13,"complexity_ratio":12334540.23076923,"tree":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":8324,"base":7}}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":5227,"base":7},"right_expr":{"type":"numeric_atoms","value":1521,"base":7}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":6181,"base":7},"right_expr":{"type":"numeric_atoms","value":3386,"base":7}}}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"unary","operator":"⋘⨑⨽","unary_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":1085,"base":7},"right_expr":{"type":"numeric_atoms","value":2237,"base":7}}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":1189,"base":7},"right_expr":{"type":"numeric_atoms","value":1002,"base":7}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":4063,"base":7},"right_expr":{"type":"numeric_atoms","value":3783,"base":7}}}}},"used_operators":["oDCm7WA9JY","QbnwKVWMIQ","tcjXMdvYtA","Asc51vEJeQ","w2P8NbNXyL","mqXw5SEYmG","i8ToyICDmI","abYXlopdE0","WmT3o8z6ya","VCtxkLNOzz","9Isq31Ruls","V0kx6qeWkN"],"dependent_operators":["mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","XhwjNDsVaA","AHs5Up7iyr","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","W4YGzv6Whe","DpFCA1CohY","N41Kp7NANJ","8w2t5hMYqp","QMFrweE19q","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=8324","layer":4},{"info":"compute unary expreesion, input=8324, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=nan","layer":2},{"info":"number node, value=5227","layer":4},{"info":"number node, value=1521","layer":4},{"info":"compute binary expreesion, left_input=5227, right_input=1521, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=5959","layer":3},{"info":"number node, value=6181","layer":4},{"info":"number node, value=3386","layer":4},{"info":"compute binary expreesion, left_input=6181, right_input=3386, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=5959, right_input=0, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=59538","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=59538, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=nan","layer":1},{"info":"number node, value=1085","layer":4},{"info":"number node, value=2237","layer":4},{"info":"compute binary expreesion, left_input=1085, right_input=2237, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=4474","layer":3},{"info":"compute unary expreesion, input=4474, op_id = WmT3o8z6ya, unary_op_definition = 'a⋘⨑⨽ = { ((a⫡⨏a)+(a≋⫹)) , if (⊄⩳↩a)!=44 ; (⋗⩬⋾(394+a)) , else }', output=23153","layer":2},{"info":"number node, value=1189","layer":4},{"info":"number node, value=1002","layer":4},{"info":"compute binary expreesion, left_input=1189, right_input=1002, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=9408","layer":3},{"info":"number node, value=4063","layer":4},{"info":"number node, value=3783","layer":4},{"info":"compute binary expreesion, left_input=4063, right_input=3783, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=9408, right_input=nan, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=18816","layer":2},{"info":"compute binary expreesion, left_input=23153, right_input=18816, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-319, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≘(↣≠⋷≴∭⊉33161))⪥(≴∭⊉21145⫸⊐≴∭⊉4302)⊉↱≁(≴∭⊉24010∲⫓≴∭⊉12605)⋻⩜⩜((≴∭⊉3110↡⊰⫅≴∭⊉6344)⋘⨑⨽)⨿(≴∭⊉3316⪥≴∭⊉2631∌↝(≴∭⊉14563≳⇉≴∭⊉14013))=NaN","reverse_text":"NaN=(≘(↣≠⋷≴∭⊉33161))⪥(≴∭⊉21145⫸⊐≴∭⊉4302)⊉↱≁(≴∭⊉24010∲⫓≴∭⊉12605)⋻⩜⩜((≴∭⊉3110↡⊰⫅≴∭⊉6344)⋘⨑⨽)⨿(≴∭⊉3316⪥≴∭⊉2631∌↝(≴∭⊉14563≳⇉≴∭⊉14013))","cot":[{"info":"↣≠⋷≴∭⊉33161=NaN","layer":3},{"info":"≘NaN=NaN","layer":2},{"info":"≴∭⊉21145⫸⊐≴∭⊉4302=≴∭⊉23242","layer":3},{"info":"≴∭⊉24010∲⫓≴∭⊉12605=≴∭⊉0","layer":3},{"info":"≴∭⊉23242⊉↱≁≴∭⊉0=≴∭⊉335403","layer":2},{"info":"NaN⪥≴∭⊉335403=NaN","layer":1},{"info":"≴∭⊉3110↡⊰⫅≴∭⊉6344=≴∭⊉16021","layer":3},{"info":"≴∭⊉16021⋘⨑⨽=≴∭⊉124334","layer":2},{"info":"≴∭⊉3316⪥≴∭⊉2631=≴∭⊉36300","layer":3},{"info":"≴∭⊉14563≳⇉≴∭⊉14013=NaN","layer":3},{"info":"≴∭⊉36300∌↝NaN=≴∭⊉105600","layer":2},{"info":"≴∭⊉124334⨿≴∭⊉105600=≴∭⊉-634","layer":1},{"info":"NaN⋻⩜⩜≴∭⊉-634=NaN","layer":0}]}
+{"id":320,"expression_no_base_symbol":"≤/(($2784$⪁$3991$)↡⊰⫅$1077$⨸$1558$)⋅⇍(≛$3185$∋$8274$)","expression":"≤/((≴∭⊉11055⪁≴∭⊉14431)↡⊰⫅≴∭⊉3066⨸≴∭⊉4354)⋅⇍(≛≴∭⊉12200∋≴∭⊉33060)","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":249874071,"operation_count":7,"complexity_ratio":35696295.85714286,"tree":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":2784,"base":7},"right_expr":{"type":"numeric_atoms","value":3991,"base":7}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":1077,"base":7},"right_expr":{"type":"numeric_atoms","value":1558,"base":7}}},"right_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":3185,"base":7},"right_expr":{"type":"numeric_atoms","value":8274,"base":7}}}}},"used_operators":["eLAdDNolq6","AdZkA7nFnk","VCtxkLNOzz","I7sXao9hZE","KmoU8R5UQR","W7eaUhjymW","ukq6epAj5P"],"dependent_operators":["rysDP5nf3Z","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV"],"result":"≴∭⊉1322","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2784","layer":4},{"info":"number node, value=3991","layer":4},{"info":"compute binary expreesion, left_input=2784, right_input=3991, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"number node, value=1077","layer":4},{"info":"number node, value=1558","layer":4},{"info":"compute binary expreesion, left_input=1077, right_input=1558, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=2154","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2154, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=4308","layer":2},{"info":"number node, value=3185","layer":4},{"info":"number node, value=8274","layer":4},{"info":"compute binary expreesion, left_input=3185, right_input=8274, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=17255676","layer":3},{"info":"compute unary expreesion, input=17255676, op_id = W7eaUhjymW, unary_op_definition = '≛a = { (((a+a)⊉≛↸(a⪠⩆⊳))⊭↱((a⪒a)⩚⊴⇥(a⋝⋈⪟a))) , if (a⫩⊇)>7 or a==273 ; (((a-a)⪒(a⪨≂a))⊉≛↸((a⨰a)⋝⋈⪟(a+a))) , else }', output=-10","layer":2},{"info":"compute binary expreesion, left_input=4308, right_input=-10, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":1},{"info":"compute unary expreesion, input=-22, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=506","layer":0}],"base":7,"result_base":7,"text":"≤/((≴∭⊉11055⪁≴∭⊉14431)↡⊰⫅≴∭⊉3066⨸≴∭⊉4354)⋅⇍(≛≴∭⊉12200∋≴∭⊉33060)=≴∭⊉1322","reverse_text":"≴∭⊉1322=≤/((≴∭⊉11055⪁≴∭⊉14431)↡⊰⫅≴∭⊉3066⨸≴∭⊉4354)⋅⇍(≛≴∭⊉12200∋≴∭⊉33060)","cot":[{"info":"≴∭⊉11055⪁≴∭⊉14431=NaN","layer":3},{"info":"≴∭⊉3066⨸≴∭⊉4354=≴∭⊉6165","layer":3},{"info":"NaN↡⊰⫅≴∭⊉6165=≴∭⊉15363","layer":2},{"info":"≴∭⊉12200∋≴∭⊉33060=≴∭⊉266446044","layer":3},{"info":"≛≴∭⊉266446044=≴∭⊉-13","layer":2},{"info":"≴∭⊉15363⋅⇍≴∭⊉-13=≴∭⊉-31","layer":1},{"info":"≤/≴∭⊉-31=≴∭⊉1322","layer":0}]}
+{"id":321,"expression_no_base_symbol":"(⩦⩻⨪($1107$⪭$3184$⇼⇔∾$1190$⪄$3453$))⨔⇊(($2037$⪄$3481$)⇡⇂($1078$⨸$4023$)≀⫉(($4756$⇉⇱⇎)∙⊟($1800$⊉≛↸$1343$)))","expression":"(⩦⩻⨪(≴∭⊉3141⪭≴∭⊉12166⇼⇔∾≴∭⊉3320⪄≴∭⊉13032))⨔⇊((≴∭⊉5640⪄≴∭⊉13102)⇡⇂(≴∭⊉3100⨸≴∭⊉14505)≀⫉((≴∭⊉16603⇉⇱⇎)∙⊟(≴∭⊉5151⊉≛↸≴∭⊉3626)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":16603,"operation_count":12,"complexity_ratio":1383.5833333333333,"tree":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":1107,"base":7},"right_expr":{"type":"numeric_atoms","value":3184,"base":7}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1190,"base":7},"right_expr":{"type":"numeric_atoms","value":3453,"base":7}}}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2037,"base":7},"right_expr":{"type":"numeric_atoms","value":3481,"base":7}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":1078,"base":7},"right_expr":{"type":"numeric_atoms","value":4023,"base":7}}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"unary","operator":"⇉⇱⇎","unary_expr":{"type":"numeric_atoms","value":4756,"base":7}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1800,"base":7},"right_expr":{"type":"numeric_atoms","value":1343,"base":7}}}}},"used_operators":["JclMnS0uGI","2td37pGCOC","tifHPKVTfV","j9kHMeSvPp","SUmda5xLS4","oZj3VtZNQx","UMwdvZNt44","KmoU8R5UQR","SxTAKzQCrw","MRPaB8lBjK","DZ8iAZOCBD"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","COABgblf1C","xUOZtlo3hN","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","XhwjNDsVaA","QiR2Oyf5Xj","uFcxV4UQCh","EWw2JM7wp4","t8gj7n24qd","keWfFq85dY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1107","layer":4},{"info":"number node, value=3184","layer":4},{"info":"compute binary expreesion, left_input=1107, right_input=3184, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"number node, value=1190","layer":4},{"info":"number node, value=3453","layer":4},{"info":"compute binary expreesion, left_input=1190, right_input=3453, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-186021","layer":3},{"info":"compute binary expreesion, left_input=5, right_input=-186021, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-186026","layer":2},{"info":"compute unary expreesion, input=-186026, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-186026","layer":1},{"info":"number node, value=2037","layer":4},{"info":"number node, value=3481","layer":4},{"info":"compute binary expreesion, left_input=2037, right_input=3481, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-311489","layer":3},{"info":"number node, value=1078","layer":4},{"info":"number node, value=4023","layer":4},{"info":"compute binary expreesion, left_input=1078, right_input=4023, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=2156","layer":3},{"info":"compute binary expreesion, left_input=-311489, right_input=2156, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":2},{"info":"number node, value=4756","layer":4},{"info":"compute unary expreesion, input=4756, op_id = MRPaB8lBjK, unary_op_definition = 'a⇉⇱⇎ = { (((a/a)⪉⨛(≯757))⪛(∷≠(-a))) }', output=-4538","layer":3},{"info":"number node, value=1800","layer":4},{"info":"number node, value=1343","layer":4},{"info":"compute binary expreesion, left_input=1800, right_input=1343, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3600","layer":3},{"info":"compute binary expreesion, left_input=-4538, right_input=3600, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=74738","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=74738, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-186026, right_input=nan, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(⩦⩻⨪(≴∭⊉3141⪭≴∭⊉12166⇼⇔∾≴∭⊉3320⪄≴∭⊉13032))⨔⇊((≴∭⊉5640⪄≴∭⊉13102)⇡⇂(≴∭⊉3100⨸≴∭⊉14505)≀⫉((≴∭⊉16603⇉⇱⇎)∙⊟(≴∭⊉5151⊉≛↸≴∭⊉3626)))=NaN","reverse_text":"NaN=(⩦⩻⨪(≴∭⊉3141⪭≴∭⊉12166⇼⇔∾≴∭⊉3320⪄≴∭⊉13032))⨔⇊((≴∭⊉5640⪄≴∭⊉13102)⇡⇂(≴∭⊉3100⨸≴∭⊉14505)≀⫉((≴∭⊉16603⇉⇱⇎)∙⊟(≴∭⊉5151⊉≛↸≴∭⊉3626)))","cot":[{"info":"≴∭⊉3141⪭≴∭⊉12166=≴∭⊉5","layer":3},{"info":"≴∭⊉3320⪄≴∭⊉13032=≴∭⊉-1403223","layer":3},{"info":"≴∭⊉5⇼⇔∾≴∭⊉-1403223=≴∭⊉-1403231","layer":2},{"info":"⩦⩻⨪≴∭⊉-1403231=≴∭⊉-1403231","layer":1},{"info":"≴∭⊉5640⪄≴∭⊉13102=≴∭⊉-2435063","layer":3},{"info":"≴∭⊉3100⨸≴∭⊉14505=≴∭⊉6200","layer":3},{"info":"≴∭⊉-2435063⇡⇂≴∭⊉6200=NaN","layer":2},{"info":"≴∭⊉16603⇉⇱⇎=≴∭⊉-16142","layer":3},{"info":"≴∭⊉5151⊉≛↸≴∭⊉3626=≴∭⊉13332","layer":3},{"info":"≴∭⊉-16142∙⊟≴∭⊉13332=≴∭⊉430616","layer":2},{"info":"NaN≀⫉≴∭⊉430616=NaN","layer":1},{"info":"≴∭⊉-1403231⨔⇊NaN=NaN","layer":0}]}
+{"id":322,"expression_no_base_symbol":"(($2447$⨵⪆$2021$)⇩)⊮⊟↴($1716$≚⊃≕$1276$+$2231$⋾⨃∁$4494$)≎⊠⪸(⇜⊴$7405$∑⇟⊟$1285$⫦⪉$1331$⩁⩘$4854$)","expression":"((≴∭⊉10064⨵⪆≴∭⊉5615)⇩)⊮⊟↴(≴∭⊉5001≚⊃≕≴∭⊉3502+≴∭⊉6335⋾⨃∁≴∭⊉16050)≎⊠⪸(⇜⊴≴∭⊉30406∑⇟⊟≴∭⊉3514⫦⪉≴∭⊉3611⩁⩘≴∭⊉20103)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4725,"operation_count":11,"complexity_ratio":429.54545454545456,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"unary","operator":"⇩","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2447,"base":7},"right_expr":{"type":"numeric_atoms","value":2021,"base":7}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":1716,"base":7},"right_expr":{"type":"numeric_atoms","value":1276,"base":7}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":2231,"base":7},"right_expr":{"type":"numeric_atoms","value":4494,"base":7}}}},"right_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":7405,"base":7},"right_expr":{"type":"numeric_atoms","value":1285,"base":7}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":1331,"base":7},"right_expr":{"type":"numeric_atoms","value":4854,"base":7}}}}},"used_operators":["bJkvcejdHO","QDVgd2eftb","vRio1gEz1j","2DQ55sFlQl","W4YGzv6Whe","Bmrmz2XGnR","212REbPD9h","XwDhCwWbUn","wscyQdcy20","U7g4x0WXJJ","gub5Cegaqo"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","DpFCA1CohY","IWmyXbctLI"],"result":"≴∭⊉124","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2447","layer":4},{"info":"number node, value=2021","layer":4},{"info":"compute binary expreesion, left_input=2447, right_input=2021, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = vRio1gEz1j, unary_op_definition = 'a⇩ = { (a+93) }', output=253","layer":2},{"info":"number node, value=1716","layer":4},{"info":"number node, value=1276","layer":4},{"info":"compute binary expreesion, left_input=1716, right_input=1276, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":3},{"info":"number node, value=2231","layer":4},{"info":"number node, value=4494","layer":4},{"info":"compute binary expreesion, left_input=2231, right_input=4494, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=201906338","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=201906338, op_id = W4YGzv6Whe binary_op_definition= 'None', output=201906405","layer":2},{"info":"compute binary expreesion, left_input=253, right_input=201906405, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=nan","layer":1},{"info":"number node, value=7405","layer":4},{"info":"number node, value=1285","layer":4},{"info":"compute binary expreesion, left_input=7405, right_input=1285, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1331","layer":4},{"info":"number node, value=4854","layer":4},{"info":"compute binary expreesion, left_input=1331, right_input=4854, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=20364","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=20364, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = XwDhCwWbUn, unary_op_definition = '⇜⊴a = { (↩(∓⪦(a≃a))) , if ((a∐⫣)>271 and (a∴779)<=132) ; ((a↢(a⨔⇊a))⊲⩕⊾((a∝a)⊉↱≁(a⊭↱19))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉10064⨵⪆≴∭⊉5615)⇩)⊮⊟↴(≴∭⊉5001≚⊃≕≴∭⊉3502+≴∭⊉6335⋾⨃∁≴∭⊉16050)≎⊠⪸(⇜⊴≴∭⊉30406∑⇟⊟≴∭⊉3514⫦⪉≴∭⊉3611⩁⩘≴∭⊉20103)=≴∭⊉124","reverse_text":"≴∭⊉124=((≴∭⊉10064⨵⪆≴∭⊉5615)⇩)⊮⊟↴(≴∭⊉5001≚⊃≕≴∭⊉3502+≴∭⊉6335⋾⨃∁≴∭⊉16050)≎⊠⪸(⇜⊴≴∭⊉30406∑⇟⊟≴∭⊉3514⫦⪉≴∭⊉3611⩁⩘≴∭⊉20103)","cot":[{"info":"≴∭⊉10064⨵⪆≴∭⊉5615=≴∭⊉316","layer":3},{"info":"≴∭⊉316⇩=≴∭⊉511","layer":2},{"info":"≴∭⊉5001≚⊃≕≴∭⊉3502=≴∭⊉124","layer":3},{"info":"≴∭⊉6335⋾⨃∁≴∭⊉16050=≴∭⊉5001114134","layer":3},{"info":"≴∭⊉124+≴∭⊉5001114134=≴∭⊉5001114261","layer":2},{"info":"≴∭⊉511⊮⊟↴≴∭⊉5001114261=NaN","layer":1},{"info":"≴∭⊉30406∑⇟⊟≴∭⊉3514=NaN","layer":3},{"info":"≴∭⊉3611⩁⩘≴∭⊉20103=≴∭⊉113241","layer":3},{"info":"NaN⫦⪉≴∭⊉113241=NaN","layer":2},{"info":"⇜⊴NaN=NaN","layer":1},{"info":"NaN≎⊠⪸NaN=≴∭⊉124","layer":0}]}
+{"id":323,"expression_no_base_symbol":"((∑⇻≧(⊢≑≆$6079$))⫲≸⪮($2196$⪚$1116$⩭))⇌⫙⪟(∮(⨞⊢($1200$⋐⇩⊬)))","expression":"((∑⇻≧(⊢≑≆≴∭⊉23503))⫲≸⪮(≴∭⊉6255⪚≴∭⊉3153⩭))⇌⫙⪟(∮(⨞⊢(≴∭⊉3333⋐⇩⊬)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":29806,"operation_count":9,"complexity_ratio":3311.777777777778,"tree":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"numeric_atoms","value":6079,"base":7}}},"right_expr":{"type":"unary","operator":"⩭","unary_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":2196,"base":7},"right_expr":{"type":"numeric_atoms","value":1116,"base":7}}}},"right_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"unary","operator":"⋐⇩⊬","unary_expr":{"type":"numeric_atoms","value":1200,"base":7}}}}},"used_operators":["AFVx7xoS7T","P3lXMJvFrc","l1M9WJ3V7u","27wFxooxGf","yIPP7u6H5x","HrjLwUk87U","CqXKPLVYql","xUOZtlo3hN","JuuLT1NoCs"],"dependent_operators":["DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","nOKPl9n5zu","SUmda5xLS4","9HNa5Wba9A","fu6greOZ01","3tVxb0NHM4","GjBEYRfMaF","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","W4YGzv6Whe","t8gj7n24qd","mp7IySMOzn","JclMnS0uGI","ddLRYrp01A"],"result":"≴∭⊉13123321","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6079","layer":4},{"info":"compute unary expreesion, input=6079, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=24768","layer":3},{"info":"compute unary expreesion, input=24768, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":2},{"info":"number node, value=2196","layer":4},{"info":"number node, value=1116","layer":4},{"info":"compute binary expreesion, left_input=2196, right_input=1116, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=1804","layer":3},{"info":"compute unary expreesion, input=1804, op_id = yIPP7u6H5x, unary_op_definition = 'a⩭ = { (((a⨐⩸⫘a)⪎↠(696*a))⪔(224⪄(⋗⩴⪓a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-852, right_input=nan, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=-852","layer":1},{"info":"number node, value=1200","layer":4},{"info":"compute unary expreesion, input=1200, op_id = JuuLT1NoCs, unary_op_definition = 'a⋐⇩⊬ = { (a⨔⇊a) , if (a∊∟⩊189)<=582 ; (a⇷a) , else }', output=1200","layer":3},{"info":"compute unary expreesion, input=1200, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1374","layer":2},{"info":"compute unary expreesion, input=-1374, op_id = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=-239510","layer":1},{"info":"compute binary expreesion, left_input=-852, right_input=-239510, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=1199290","layer":0}],"base":7,"result_base":7,"text":"((∑⇻≧(⊢≑≆≴∭⊉23503))⫲≸⪮(≴∭⊉6255⪚≴∭⊉3153⩭))⇌⫙⪟(∮(⨞⊢(≴∭⊉3333⋐⇩⊬)))=≴∭⊉13123321","reverse_text":"≴∭⊉13123321=((∑⇻≧(⊢≑≆≴∭⊉23503))⫲≸⪮(≴∭⊉6255⪚≴∭⊉3153⩭))⇌⫙⪟(∮(⨞⊢(≴∭⊉3333⋐⇩⊬)))","cot":[{"info":"⊢≑≆≴∭⊉23503=≴∭⊉132132","layer":3},{"info":"∑⇻≧≴∭⊉132132=≴∭⊉-2325","layer":2},{"info":"≴∭⊉6255⪚≴∭⊉3153=≴∭⊉5155","layer":3},{"info":"≴∭⊉5155⩭=NaN","layer":2},{"info":"≴∭⊉-2325⫲≸⪮NaN=≴∭⊉-2325","layer":1},{"info":"≴∭⊉3333⋐⇩⊬=≴∭⊉3333","layer":3},{"info":"⨞⊢≴∭⊉3333=≴∭⊉-4002","layer":2},{"info":"∮≴∭⊉-4002=≴∭⊉-2015165","layer":1},{"info":"≴∭⊉-2325⇌⫙⪟≴∭⊉-2015165=≴∭⊉13123321","layer":0}]}
+{"id":324,"expression_no_base_symbol":"(≇⪴($2523$∇⊂⋱$1359$)∋(⇨$1113$))⫰⋱(↑($8002$⇣⩺⋵$1096$))⩇∃⫛(($1869$⫔⩽⩺$2446$)+⇶⊼$6252$⪮%⊝$2775$)","expression":"(≇⪴(≴∭⊉10233∇⊂⋱≴∭⊉3651)∋(⇨≴∭⊉3150))⫰⋱(↑(≴∭⊉32221⇣⩺⋵≴∭⊉3124))⩇∃⫛((≴∭⊉5310⫔⩽⩺≴∭⊉10063)+⇶⊼≴∭⊉24141⪮%⊝≴∭⊉11043)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":220,"operation_count":11,"complexity_ratio":20.0,"tree":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":2523,"base":7},"right_expr":{"type":"numeric_atoms","value":1359,"base":7}},"right_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"numeric_atoms","value":1113,"base":7}}}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":8002,"base":7},"right_expr":{"type":"numeric_atoms","value":1096,"base":7}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":1869,"base":7},"right_expr":{"type":"numeric_atoms","value":2446,"base":7}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":6252,"base":7},"right_expr":{"type":"numeric_atoms","value":2775,"base":7}}}}},"used_operators":["6o9Blt3TJ6","zoVPnxeHJ3","ukq6epAj5P","nhYeJWJD5X","G9tJMlZ94a","1aApVXNlOP","tR7O2zTn5j","F4yD0voBRQ","TpPTUOHfaN","i9eR4S00cU","IWmyXbctLI"],"dependent_operators":["W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","k8jYdgA6NY","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","AHs5Up7iyr","Tw270M8GLb","fu6greOZ01","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2523","layer":4},{"info":"number node, value=1359","layer":4},{"info":"compute binary expreesion, left_input=2523, right_input=1359, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=4500","layer":3},{"info":"number node, value=1113","layer":4},{"info":"compute unary expreesion, input=1113, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=4500, right_input=0, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=180328","layer":2},{"info":"compute unary expreesion, input=180328, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-539644","layer":1},{"info":"number node, value=8002","layer":4},{"info":"number node, value=1096","layer":4},{"info":"compute binary expreesion, left_input=8002, right_input=1096, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"compute unary expreesion, input=-260, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":2},{"info":"number node, value=1869","layer":4},{"info":"number node, value=2446","layer":4},{"info":"compute binary expreesion, left_input=1869, right_input=2446, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"number node, value=6252","layer":4},{"info":"number node, value=2775","layer":4},{"info":"compute binary expreesion, left_input=6252, right_input=2775, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=12820","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=12820, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=192, right_input=nan, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-539644, right_input=nan, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≇⪴(≴∭⊉10233∇⊂⋱≴∭⊉3651)∋(⇨≴∭⊉3150))⫰⋱(↑(≴∭⊉32221⇣⩺⋵≴∭⊉3124))⩇∃⫛((≴∭⊉5310⫔⩽⩺≴∭⊉10063)+⇶⊼≴∭⊉24141⪮%⊝≴∭⊉11043)=NaN","reverse_text":"NaN=(≇⪴(≴∭⊉10233∇⊂⋱≴∭⊉3651)∋(⇨≴∭⊉3150))⫰⋱(↑(≴∭⊉32221⇣⩺⋵≴∭⊉3124))⩇∃⫛((≴∭⊉5310⫔⩽⩺≴∭⊉10063)+⇶⊼≴∭⊉24141⪮%⊝≴∭⊉11043)","cot":[{"info":"≴∭⊉10233∇⊂⋱≴∭⊉3651=≴∭⊉16056","layer":3},{"info":"⇨≴∭⊉3150=≴∭⊉0","layer":3},{"info":"≴∭⊉16056∋≴∭⊉0=≴∭⊉1350511","layer":2},{"info":"≇⪴≴∭⊉1350511=≴∭⊉-4405210","layer":1},{"info":"≴∭⊉32221⇣⩺⋵≴∭⊉3124=≴∭⊉-521","layer":3},{"info":"↑≴∭⊉-521=≴∭⊉363","layer":2},{"info":"≴∭⊉5310⫔⩽⩺≴∭⊉10063=NaN","layer":3},{"info":"≴∭⊉24141⪮%⊝≴∭⊉11043=≴∭⊉52243","layer":3},{"info":"NaN+⇶⊼≴∭⊉52243=NaN","layer":2},{"info":"≴∭⊉363⩇∃⫛NaN=NaN","layer":1},{"info":"≴∭⊉-4405210⫰⋱NaN=NaN","layer":0}]}
+{"id":325,"expression_no_base_symbol":"($7348$⪃⊛⇣$2665$≬⋮$2062$⪝$3524$)⨿(⨝⨆(⋼∭⪍$4096$))≬⋮(($3872$∪⫐$1381$)≬⇓($6418$≓∲$1672$))∌(($1632$∖$5912$)→⨶⪴$8089$⋕⪉⪜$2649$)","expression":"(≴∭⊉30265⪃⊛⇣≴∭⊉10525≬⋮≴∭⊉6004⪝≴∭⊉13163)⨿(⨝⨆(⋼∭⪍≴∭⊉14641))≬⋮((≴∭⊉14201∪⫐≴∭⊉4012)≬⇓(≴∭⊉24466≓∲≴∭⊉4606))∌((≴∭⊉4521∖≴∭⊉23144)→⨶⪴≴∭⊉32404⋕⪉⪜≴∭⊉10503)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":1988,"operation_count":14,"complexity_ratio":142.0,"tree":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":7348,"base":7},"right_expr":{"type":"numeric_atoms","value":2665,"base":7}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":2062,"base":7},"right_expr":{"type":"numeric_atoms","value":3524,"base":7}}},"right_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"numeric_atoms","value":4096,"base":7}}}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":3872,"base":7},"right_expr":{"type":"numeric_atoms","value":1381,"base":7}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":6418,"base":7},"right_expr":{"type":"numeric_atoms","value":1672,"base":7}}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":1632,"base":7},"right_expr":{"type":"numeric_atoms","value":5912,"base":7}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":8089,"base":7},"right_expr":{"type":"numeric_atoms","value":2649,"base":7}}}}},"used_operators":["kbkesczE7y","abYXlopdE0","rrgAzCduG9","wicAB68Tmb","bQ67fsrMVf","DbCuESL50I","8cLx32lpNA","jWTQ2TZYIH","7YooWSwCyH","s1XTVnmDOJ","bF6eod5Gvf","tXD093vOjl","z6LnFrNh4i"],"dependent_operators":["P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","tifHPKVTfV","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","rJVOvQCfKK","2DDjHMKMc0","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","8w2t5hMYqp","9FxExcQeMw","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z"],"result":"≴∭⊉2350","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=7348","layer":4},{"info":"number node, value=2665","layer":4},{"info":"compute binary expreesion, left_input=7348, right_input=2665, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"number node, value=2062","layer":4},{"info":"number node, value=3524","layer":4},{"info":"compute binary expreesion, left_input=2062, right_input=3524, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=237, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":2},{"info":"number node, value=4096","layer":4},{"info":"compute unary expreesion, input=4096, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-14644","layer":3},{"info":"compute unary expreesion, input=-14644, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=-14853","layer":2},{"info":"compute binary expreesion, left_input=868, right_input=-14853, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":1},{"info":"number node, value=3872","layer":4},{"info":"number node, value=1381","layer":4},{"info":"compute binary expreesion, left_input=3872, right_input=1381, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=3872","layer":3},{"info":"number node, value=6418","layer":4},{"info":"number node, value=1672","layer":4},{"info":"compute binary expreesion, left_input=6418, right_input=1672, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=64963","layer":3},{"info":"compute binary expreesion, left_input=3872, right_input=64963, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":2},{"info":"number node, value=1632","layer":4},{"info":"number node, value=5912","layer":4},{"info":"compute binary expreesion, left_input=1632, right_input=5912, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"number node, value=8089","layer":4},{"info":"number node, value=2649","layer":4},{"info":"compute binary expreesion, left_input=8089, right_input=2649, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2802, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-8406","layer":2},{"info":"compute binary expreesion, left_input=-22, right_input=-8406, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=8406","layer":1},{"info":"compute binary expreesion, left_input=-319, right_input=8406, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉30265⪃⊛⇣≴∭⊉10525≬⋮≴∭⊉6004⪝≴∭⊉13163)⨿(⨝⨆(⋼∭⪍≴∭⊉14641))≬⋮((≴∭⊉14201∪⫐≴∭⊉4012)≬⇓(≴∭⊉24466≓∲≴∭⊉4606))∌((≴∭⊉4521∖≴∭⊉23144)→⨶⪴≴∭⊉32404⋕⪉⪜≴∭⊉10503)=≴∭⊉2350","reverse_text":"≴∭⊉2350=(≴∭⊉30265⪃⊛⇣≴∭⊉10525≬⋮≴∭⊉6004⪝≴∭⊉13163)⨿(⨝⨆(⋼∭⪍≴∭⊉14641))≬⋮((≴∭⊉14201∪⫐≴∭⊉4012)≬⇓(≴∭⊉24466≓∲≴∭⊉4606))∌((≴∭⊉4521∖≴∭⊉23144)→⨶⪴≴∭⊉32404⋕⪉⪜≴∭⊉10503)","cot":[{"info":"≴∭⊉30265⪃⊛⇣≴∭⊉10525=≴∭⊉3412","layer":3},{"info":"≴∭⊉6004⪝≴∭⊉13163=≴∭⊉456","layer":3},{"info":"≴∭⊉3412≬⋮≴∭⊉456=≴∭⊉2350","layer":2},{"info":"⋼∭⪍≴∭⊉14641=≴∭⊉-60460","layer":3},{"info":"⨝⨆≴∭⊉-60460=≴∭⊉-61206","layer":2},{"info":"≴∭⊉2350⨿≴∭⊉-61206=≴∭⊉-634","layer":1},{"info":"≴∭⊉14201∪⫐≴∭⊉4012=≴∭⊉14201","layer":3},{"info":"≴∭⊉24466≓∲≴∭⊉4606=≴∭⊉360253","layer":3},{"info":"≴∭⊉14201≬⇓≴∭⊉360253=≴∭⊉-31","layer":2},{"info":"≴∭⊉4521∖≴∭⊉23144=≴∭⊉0","layer":3},{"info":"≴∭⊉32404⋕⪉⪜≴∭⊉10503=≴∭⊉11112","layer":3},{"info":"≴∭⊉0→⨶⪴≴∭⊉11112=≴∭⊉-33336","layer":2},{"info":"≴∭⊉-31∌≴∭⊉-33336=≴∭⊉33336","layer":1},{"info":"≴∭⊉-634≬⋮≴∭⊉33336=≴∭⊉2350","layer":0}]}
+{"id":326,"expression_no_base_symbol":"(∡(⊁⨺($2396$⇷$5070$)))⊝","expression":"(∡(⊁⨺(≴∭⊉6662⇷≴∭⊉20532)))⊝","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":33573,"operation_count":4,"complexity_ratio":8393.25,"tree":{"type":"unary","operator":"⊝","unary_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2396,"base":7},"right_expr":{"type":"numeric_atoms","value":5070,"base":7}}}}},"used_operators":["O6EZ0fifGK","pRsWfj4Fpp","PxiHyQbrIp","mp7IySMOzn"],"dependent_operators":["IqGBaFP0uj","ncHt1X6cMc","AHs5Up7iyr","EWw2JM7wp4","6o9Blt3TJ6","keWfFq85dY","u7fv1HBiaC","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"≴∭⊉-316","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2396","layer":4},{"info":"number node, value=5070","layer":4},{"info":"compute binary expreesion, left_input=2396, right_input=5070, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=10140","layer":3},{"info":"compute unary expreesion, input=10140, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=-160","layer":1},{"info":"compute unary expreesion, input=-160, op_id = O6EZ0fifGK, unary_op_definition = 'a⊝ = { a , if (≯a)<=30 ; (((⩦⊞a)≁↽≥(a⪉⨛a))≹⇙⪍((a⊓⋫)⪉⨛(a⫰⋱a))) , else }', output=-160","layer":0}],"base":7,"result_base":7,"text":"(∡(⊁⨺(≴∭⊉6662⇷≴∭⊉20532)))⊝=≴∭⊉-316","reverse_text":"≴∭⊉-316=(∡(⊁⨺(≴∭⊉6662⇷≴∭⊉20532)))⊝","cot":[{"info":"≴∭⊉6662⇷≴∭⊉20532=≴∭⊉41364","layer":3},{"info":"⊁⨺≴∭⊉41364=≴∭⊉316","layer":2},{"info":"∡≴∭⊉316=≴∭⊉-316","layer":1},{"info":"≴∭⊉-316⊝=≴∭⊉-316","layer":0}]}
+{"id":327,"expression_no_base_symbol":"(≉($3195$⋾⨃∁$1990$)⩇∃⫛($1213$⪄$8322$))⩷∴(⨵≀≌($2381$↯⫤))∛($6464$⩦$1948$↑)","expression":"(≉(≴∭⊉12213⋾⨃∁≴∭⊉5542)⩇∃⫛(≴∭⊉3352⪄≴∭⊉33156))⩷∴(⨵≀≌(≴∭⊉6641↯⫤))∛(≴∭⊉24563⩦≴∭⊉5452↑)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2227,"operation_count":10,"complexity_ratio":222.7,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":3195,"base":7},"right_expr":{"type":"numeric_atoms","value":1990,"base":7}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1213,"base":7},"right_expr":{"type":"numeric_atoms","value":8322,"base":7}}}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"unary","operator":"↯⫤","unary_expr":{"type":"numeric_atoms","value":2381,"base":7}}},"right_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":6464,"base":7},"right_expr":{"type":"numeric_atoms","value":1948,"base":7}}}}},"used_operators":["9FxExcQeMw","e1ybzncUwg","1aApVXNlOP","212REbPD9h","SUmda5xLS4","w2537kitQq","srAu1WTS94","VwlE7vj6HS","BThhyOhh10","0kmYd0q39Y"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","23Mk6UjR3U","tifHPKVTfV","glklzrTFfD","eH2TOUuTDT","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","g55IO6H4Gj","nCS4ZIUYfx","i8ToyICDmI","3EYGwJThht","xNBdhnnwKq","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q"],"result":"≴∭⊉-1654225432","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3195","layer":4},{"info":"number node, value=1990","layer":4},{"info":"compute binary expreesion, left_input=3195, right_input=1990, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=39577026","layer":3},{"info":"number node, value=1213","layer":4},{"info":"number node, value=8322","layer":4},{"info":"compute binary expreesion, left_input=1213, right_input=8322, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-208901","layer":3},{"info":"compute binary expreesion, left_input=39577026, right_input=-208901, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=-39785454","layer":2},{"info":"compute unary expreesion, input=-39785454, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=-39785454","layer":1},{"info":"number node, value=2381","layer":4},{"info":"compute unary expreesion, input=2381, op_id = VwlE7vj6HS, unary_op_definition = 'a↯⫤ = { (((-a)⋝⋈⪟(a⨳⩥⨓a))⨸⪁((a⨁⊸⫻)⇼⇔∾(a+a))) , if (a⋷221)!=277 ; (((300⪐)⨁⊸⫻)⇼⇔∾(a≧⫂∧(26≧⫂∧87))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=0","layer":2},{"info":"number node, value=6464","layer":4},{"info":"number node, value=1948","layer":4},{"info":"compute binary expreesion, left_input=6464, right_input=1948, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=12928","layer":3},{"info":"compute unary expreesion, input=12928, op_id = BThhyOhh10, unary_op_definition = 'a↑ = { ((a∲⫓a)⇄(262⊭∹↮)) }', output=222","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=222, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=-39785454, right_input=67, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-79571074","layer":0}],"base":7,"result_base":7,"text":"(≉(≴∭⊉12213⋾⨃∁≴∭⊉5542)⩇∃⫛(≴∭⊉3352⪄≴∭⊉33156))⩷∴(⨵≀≌(≴∭⊉6641↯⫤))∛(≴∭⊉24563⩦≴∭⊉5452↑)=≴∭⊉-1654225432","reverse_text":"≴∭⊉-1654225432=(≉(≴∭⊉12213⋾⨃∁≴∭⊉5542)⩇∃⫛(≴∭⊉3352⪄≴∭⊉33156))⩷∴(⨵≀≌(≴∭⊉6641↯⫤))∛(≴∭⊉24563⩦≴∭⊉5452↑)","cot":[{"info":"≴∭⊉12213⋾⨃∁≴∭⊉5542=≴∭⊉660253626","layer":3},{"info":"≴∭⊉3352⪄≴∭⊉33156=≴∭⊉-1530020","layer":3},{"info":"≴∭⊉660253626⩇∃⫛≴∭⊉-1530020=≴∭⊉-662112402","layer":2},{"info":"≉≴∭⊉-662112402=≴∭⊉-662112402","layer":1},{"info":"≴∭⊉6641↯⫤=≴∭⊉0","layer":3},{"info":"⨵≀≌≴∭⊉0=≴∭⊉0","layer":2},{"info":"≴∭⊉24563⩦≴∭⊉5452=≴∭⊉52456","layer":3},{"info":"≴∭⊉52456↑=≴∭⊉435","layer":2},{"info":"≴∭⊉0∛≴∭⊉435=≴∭⊉124","layer":1},{"info":"≴∭⊉-662112402⩷∴≴∭⊉124=≴∭⊉-1654225432","layer":0}]}
+{"id":328,"expression_no_base_symbol":"((⊙↵-$1590$)⪎↠($3100$⩁⩘$2047$)⪄(↥≼⋛($5279$⫳≱↱$1420$)))⩱","expression":"((⊙↵-≴∭⊉4431)⪎↠(≴∭⊉12016⩁⩘≴∭⊉5653)⪄(↥≼⋛(≴∭⊉21251⫳≱↱≴∭⊉4066)))⩱","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2095,"operation_count":7,"complexity_ratio":299.2857142857143,"tree":{"type":"unary","operator":"⩱","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1590,"base":7}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":3100,"base":7},"right_expr":{"type":"numeric_atoms","value":2047,"base":7}}},"right_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":5279,"base":7},"right_expr":{"type":"numeric_atoms","value":1420,"base":7}}}}},"used_operators":["uyq1hVkAcj","SUmda5xLS4","3tVxb0NHM4","oWn0xqSxBt","gub5Cegaqo","x5lMkHmzsq","ZvLB05nZmT"],"dependent_operators":["DpFCA1CohY","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","COABgblf1C","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","DpFCA1CohY","IWmyXbctLI","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA"],"result":"≴∭⊉6210326","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1590","layer":4},{"info":"compute unary expreesion, input=1590, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=3100","layer":4},{"info":"number node, value=2047","layer":4},{"info":"compute binary expreesion, left_input=3100, right_input=2047, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=9136","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=9136, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=867","layer":2},{"info":"number node, value=5279","layer":4},{"info":"number node, value=1420","layer":4},{"info":"compute binary expreesion, left_input=5279, right_input=1420, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"compute unary expreesion, input=-204, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-171","layer":2},{"info":"compute binary expreesion, left_input=867, right_input=-171, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-123721","layer":1},{"info":"compute unary expreesion, input=-123721, op_id = uyq1hVkAcj, unary_op_definition = 'a⩱ = { ((⋗⩬⋾(a⊭↱a))↺((a⨸⪁a)⪒(a⨸⪁125))) }', output=742076","layer":0}],"base":7,"result_base":7,"text":"((⊙↵-≴∭⊉4431)⪎↠(≴∭⊉12016⩁⩘≴∭⊉5653)⪄(↥≼⋛(≴∭⊉21251⫳≱↱≴∭⊉4066)))⩱=≴∭⊉6210326","reverse_text":"≴∭⊉6210326=((⊙↵-≴∭⊉4431)⪎↠(≴∭⊉12016⩁⩘≴∭⊉5653)⪄(↥≼⋛(≴∭⊉21251⫳≱↱≴∭⊉4066)))⩱","cot":[{"info":"⊙↵-≴∭⊉4431=≴∭⊉-1","layer":3},{"info":"≴∭⊉12016⩁⩘≴∭⊉5653=≴∭⊉35431","layer":3},{"info":"≴∭⊉-1⪎↠≴∭⊉35431=≴∭⊉2346","layer":2},{"info":"≴∭⊉21251⫳≱↱≴∭⊉4066=≴∭⊉-411","layer":3},{"info":"↥≼⋛≴∭⊉-411=≴∭⊉-333","layer":2},{"info":"≴∭⊉2346⪄≴∭⊉-333=≴∭⊉-1023463","layer":1},{"info":"≴∭⊉-1023463⩱=≴∭⊉6210326","layer":0}]}
+{"id":329,"expression_no_base_symbol":"⊁⨺($2074$⨔⇊$2663$∌(⨞⊢$2523$)⇄($2679$≎⊠⪸$7419$)⨐($3049$⊉↱≁$1833$))","expression":"⊁⨺(≴∭⊉6022⨔⇊≴∭⊉10523∌(⨞⊢≴∭⊉10233)⇄(≴∭⊉10545≎⊠⪸≴∭⊉30426)⨐(≴∭⊉11614⊉↱≁≴∭⊉5226))","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":329,"operation_count":8,"complexity_ratio":41.125,"tree":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":2074,"base":7},"right_expr":{"type":"numeric_atoms","value":2663,"base":7}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":2523,"base":7}}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2679,"base":7},"right_expr":{"type":"numeric_atoms","value":7419,"base":7}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":3049,"base":7},"right_expr":{"type":"numeric_atoms","value":1833,"base":7}}}}},"used_operators":["PxiHyQbrIp","3EYGwJThht","8cLx32lpNA","JclMnS0uGI","xUOZtlo3hN","Noe24qw2ks","bJkvcejdHO","w2P8NbNXyL"],"dependent_operators":["rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL"],"result":"≴∭⊉5244","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2074","layer":4},{"info":"number node, value=2663","layer":4},{"info":"compute binary expreesion, left_input=2074, right_input=2663, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=2663","layer":3},{"info":"number node, value=2523","layer":4},{"info":"compute unary expreesion, input=2523, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2697","layer":3},{"info":"compute binary expreesion, left_input=2663, right_input=-2697, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=2697","layer":2},{"info":"number node, value=2679","layer":4},{"info":"number node, value=7419","layer":4},{"info":"compute binary expreesion, left_input=2679, right_input=7419, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=693388","layer":3},{"info":"number node, value=3049","layer":4},{"info":"number node, value=1833","layer":4},{"info":"compute binary expreesion, left_input=3049, right_input=1833, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=19440","layer":3},{"info":"compute binary expreesion, left_input=693388, right_input=19440, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-1386776","layer":2},{"info":"compute binary expreesion, left_input=2697, right_input=-1386776, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=1845","layer":0}],"base":7,"result_base":7,"text":"⊁⨺(≴∭⊉6022⨔⇊≴∭⊉10523∌(⨞⊢≴∭⊉10233)⇄(≴∭⊉10545≎⊠⪸≴∭⊉30426)⨐(≴∭⊉11614⊉↱≁≴∭⊉5226))=≴∭⊉5244","reverse_text":"≴∭⊉5244=⊁⨺(≴∭⊉6022⨔⇊≴∭⊉10523∌(⨞⊢≴∭⊉10233)⇄(≴∭⊉10545≎⊠⪸≴∭⊉30426)⨐(≴∭⊉11614⊉↱≁≴∭⊉5226))","cot":[{"info":"≴∭⊉6022⨔⇊≴∭⊉10523=≴∭⊉10523","layer":3},{"info":"⨞⊢≴∭⊉10233=≴∭⊉-10602","layer":3},{"info":"≴∭⊉10523∌≴∭⊉-10602=≴∭⊉10602","layer":2},{"info":"≴∭⊉10545≎⊠⪸≴∭⊉30426=≴∭⊉5615353","layer":3},{"info":"≴∭⊉11614⊉↱≁≴∭⊉5226=≴∭⊉110451","layer":3},{"info":"≴∭⊉5615353⨐≴∭⊉110451=≴∭⊉-14534036","layer":2},{"info":"≴∭⊉10602⇄≴∭⊉-14534036=≴∭⊉0","layer":1},{"info":"⊁⨺≴∭⊉0=≴∭⊉5244","layer":0}]}
+{"id":330,"expression_no_base_symbol":"($1263$∠↢$3632$⪉⨛$2929$⨭⪣$2701$)↓(($3374$∷$5910$)⨟⋌⩍($3801$⪒$3421$))≥⨤⩑(((↘$1403$)⩨$1684$∴$1436$)⫥∨⫟(∂⩏⊆$1795$)⩒⫫($7714$≬⋮$2124$))","expression":"(≴∭⊉3453∠↢≴∭⊉13406⪉⨛≴∭⊉11353⨭⪣≴∭⊉10606)↓((≴∭⊉12560∷≴∭⊉23142)⨟⋌⩍(≴∭⊉14040⪒≴∭⊉12655))≥⨤⩑(((↘≴∭⊉4043)⩨≴∭⊉4624∴≴∭⊉4121)⫥∨⫟(∂⩏⊆≴∭⊉5143)⩒⫫(≴∭⊉31330≬⋮≴∭⊉6123))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":596,"operation_count":15,"complexity_ratio":39.733333333333334,"tree":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":1263,"base":7},"right_expr":{"type":"numeric_atoms","value":3632,"base":7}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":2929,"base":7},"right_expr":{"type":"numeric_atoms","value":2701,"base":7}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":3374,"base":7},"right_expr":{"type":"numeric_atoms","value":5910,"base":7}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3801,"base":7},"right_expr":{"type":"numeric_atoms","value":3421,"base":7}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"numeric_atoms","value":1403,"base":7}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":1684,"base":7},"right_expr":{"type":"numeric_atoms","value":1436,"base":7}}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"numeric_atoms","value":1795,"base":7}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":7714,"base":7},"right_expr":{"type":"numeric_atoms","value":2124,"base":7}}}}},"used_operators":["gJLn6v0xnP","Af076pWI7l","EWw2JM7wp4","KbjG8mgYpV","kn8WO9XteQ","rGHVDoGpnC","D3AQDKkPcf","f6k1SAg4EE","KYD54nUTWz","2DlMacCsIx","LdNpr8hQHL","hrf7POJlIJ","KFSx94NKJn","8WDwsbhb0R","kbkesczE7y"],"dependent_operators":["mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","Tcnh7f0tEr","9FxExcQeMw","NTOWxs364D","7j4O788W3g","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","uFcxV4UQCh","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","14qkJME0vr","eLAdDNolq6","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI"],"result":"≴∭⊉3412","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1263","layer":4},{"info":"number node, value=3632","layer":4},{"info":"compute binary expreesion, left_input=1263, right_input=3632, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-54818","layer":3},{"info":"number node, value=2929","layer":4},{"info":"number node, value=2701","layer":4},{"info":"compute binary expreesion, left_input=2929, right_input=2701, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=1650","layer":3},{"info":"compute binary expreesion, left_input=-54818, right_input=1650, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=-169189","layer":2},{"info":"number node, value=3374","layer":4},{"info":"number node, value=5910","layer":4},{"info":"compute binary expreesion, left_input=3374, right_input=5910, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=5910","layer":3},{"info":"number node, value=3801","layer":4},{"info":"number node, value=3421","layer":4},{"info":"compute binary expreesion, left_input=3801, right_input=3421, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7222","layer":3},{"info":"compute binary expreesion, left_input=5910, right_input=-7222, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-169189, right_input=nan, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":1},{"info":"number node, value=1403","layer":4},{"info":"compute unary expreesion, input=1403, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=227","layer":3},{"info":"number node, value=1684","layer":4},{"info":"number node, value=1436","layer":4},{"info":"compute binary expreesion, left_input=1684, right_input=1436, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=5016","layer":3},{"info":"compute binary expreesion, left_input=227, right_input=5016, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-66","layer":2},{"info":"number node, value=1795","layer":4},{"info":"compute unary expreesion, input=1795, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-5464","layer":3},{"info":"number node, value=7714","layer":4},{"info":"number node, value=2124","layer":4},{"info":"compute binary expreesion, left_input=7714, right_input=2124, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=-5464, right_input=868, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=-66, right_input=160, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-134, right_input=nan, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉3453∠↢≴∭⊉13406⪉⨛≴∭⊉11353⨭⪣≴∭⊉10606)↓((≴∭⊉12560∷≴∭⊉23142)⨟⋌⩍(≴∭⊉14040⪒≴∭⊉12655))≥⨤⩑(((↘≴∭⊉4043)⩨≴∭⊉4624∴≴∭⊉4121)⫥∨⫟(∂⩏⊆≴∭⊉5143)⩒⫫(≴∭⊉31330≬⋮≴∭⊉6123))=≴∭⊉3412","reverse_text":"≴∭⊉3412=(≴∭⊉3453∠↢≴∭⊉13406⪉⨛≴∭⊉11353⨭⪣≴∭⊉10606)↓((≴∭⊉12560∷≴∭⊉23142)⨟⋌⩍(≴∭⊉14040⪒≴∭⊉12655))≥⨤⩑(((↘≴∭⊉4043)⩨≴∭⊉4624∴≴∭⊉4121)⫥∨⫟(∂⩏⊆≴∭⊉5143)⩒⫫(≴∭⊉31330≬⋮≴∭⊉6123))","cot":[{"info":"≴∭⊉3453∠↢≴∭⊉13406=≴∭⊉-315551","layer":3},{"info":"≴∭⊉11353⨭⪣≴∭⊉10606=≴∭⊉4545","layer":3},{"info":"≴∭⊉-315551⪉⨛≴∭⊉4545=≴∭⊉-1303156","layer":2},{"info":"≴∭⊉12560∷≴∭⊉23142=≴∭⊉23142","layer":3},{"info":"≴∭⊉14040⪒≴∭⊉12655=≴∭⊉-30025","layer":3},{"info":"≴∭⊉23142⨟⋌⩍≴∭⊉-30025=NaN","layer":2},{"info":"≴∭⊉-1303156↓NaN=≴∭⊉-251","layer":1},{"info":"↘≴∭⊉4043=≴∭⊉443","layer":3},{"info":"≴∭⊉4624∴≴∭⊉4121=≴∭⊉20424","layer":3},{"info":"≴∭⊉443⩨≴∭⊉20424=≴∭⊉-123","layer":2},{"info":"∂⩏⊆≴∭⊉5143=≴∭⊉-21634","layer":3},{"info":"≴∭⊉31330≬⋮≴∭⊉6123=≴∭⊉2350","layer":3},{"info":"≴∭⊉-21634⩒⫫≴∭⊉2350=≴∭⊉316","layer":2},{"info":"≴∭⊉-123⫥∨⫟≴∭⊉316=NaN","layer":1},{"info":"≴∭⊉-251≥⨤⩑NaN=≴∭⊉3412","layer":0}]}
+{"id":331,"expression_no_base_symbol":"(($2097$⨂≜$1547$⇐≅)⨑≵⋬(⇨($1704$⋝⋈⪟$3027$)))⇍⊗((⨭⩧⫛$1141$)∇⊂⋱($2586$∟)↡⊰⫅($3655$⪨≂$5414$)↳≱($2163$⋓$7305$))","expression":"((≴∭⊉6054⨂≜≴∭⊉4340⇐≅)⨑≵⋬(⇨(≴∭⊉4653⋝⋈⪟≴∭⊉11553)))⇍⊗((⨭⩧⫛≴∭⊉3220)∇⊂⋱(≴∭⊉10353∟)↡⊰⫅(≴∭⊉13441⪨≂≴∭⊉21533)↳≱(≴∭⊉6210⋓≴∭⊉30204))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2815,"operation_count":13,"complexity_ratio":216.53846153846155,"tree":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"unary","operator":"⇐≅","unary_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":2097,"base":7},"right_expr":{"type":"numeric_atoms","value":1547,"base":7}}},"right_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1704,"base":7},"right_expr":{"type":"numeric_atoms","value":3027,"base":7}}}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"numeric_atoms","value":1141,"base":7}},"right_expr":{"type":"unary","operator":"∟","unary_expr":{"type":"numeric_atoms","value":2586,"base":7}}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":3655,"base":7},"right_expr":{"type":"numeric_atoms","value":5414,"base":7}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2163,"base":7},"right_expr":{"type":"numeric_atoms","value":7305,"base":7}}}}},"used_operators":["5uvYHDjeKN","XnXgA4xnOs","wEfv7U73WA","k1SHOSEABc","G9tJMlZ94a","2DDjHMKMc0","VCtxkLNOzz","nhYeJWJD5X","g21JL6JxX7","hTbEZDJLEm","JwTKLfZU96","sdazOOVcIp","T2fj7uvVaJ"],"dependent_operators":["Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","9FxExcQeMw","t8gj7n24qd","Ph9nP6C5qx","i8ToyICDmI","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","KPf6cnQVty","zVYPLywUTj","AFVx7xoS7T","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"≴∭⊉-466","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2097","layer":4},{"info":"number node, value=1547","layer":4},{"info":"compute binary expreesion, left_input=2097, right_input=1547, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = wEfv7U73WA, unary_op_definition = 'a⇐≅ = { ((a⩷∴(a∲⫓a))≧⫂∧(-a)) }', output=nan","layer":2},{"info":"number node, value=1704","layer":4},{"info":"number node, value=3027","layer":4},{"info":"compute binary expreesion, left_input=1704, right_input=3027, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1704","layer":3},{"info":"compute unary expreesion, input=1704, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=nan","layer":1},{"info":"number node, value=1141","layer":4},{"info":"compute unary expreesion, input=1141, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":3},{"info":"number node, value=2586","layer":4},{"info":"compute unary expreesion, input=2586, op_id = hTbEZDJLEm, unary_op_definition = 'a∟ = { ((58∺≝⩲a)⇌⫙⪟(a⊪)) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=113, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=nan","layer":2},{"info":"number node, value=3655","layer":4},{"info":"number node, value=5414","layer":4},{"info":"compute binary expreesion, left_input=3655, right_input=5414, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-3416","layer":3},{"info":"number node, value=2163","layer":4},{"info":"number node, value=7305","layer":4},{"info":"compute binary expreesion, left_input=2163, right_input=7305, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-3416, right_input=0, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉6054⨂≜≴∭⊉4340⇐≅)⨑≵⋬(⇨(≴∭⊉4653⋝⋈⪟≴∭⊉11553)))⇍⊗((⨭⩧⫛≴∭⊉3220)∇⊂⋱(≴∭⊉10353∟)↡⊰⫅(≴∭⊉13441⪨≂≴∭⊉21533)↳≱(≴∭⊉6210⋓≴∭⊉30204))=≴∭⊉-466","reverse_text":"≴∭⊉-466=((≴∭⊉6054⨂≜≴∭⊉4340⇐≅)⨑≵⋬(⇨(≴∭⊉4653⋝⋈⪟≴∭⊉11553)))⇍⊗((⨭⩧⫛≴∭⊉3220)∇⊂⋱(≴∭⊉10353∟)↡⊰⫅(≴∭⊉13441⪨≂≴∭⊉21533)↳≱(≴∭⊉6210⋓≴∭⊉30204))","cot":[{"info":"≴∭⊉6054⨂≜≴∭⊉4340=NaN","layer":3},{"info":"NaN⇐≅=NaN","layer":2},{"info":"≴∭⊉4653⋝⋈⪟≴∭⊉11553=≴∭⊉4653","layer":3},{"info":"⇨≴∭⊉4653=≴∭⊉0","layer":2},{"info":"NaN⨑≵⋬≴∭⊉0=NaN","layer":1},{"info":"⨭⩧⫛≴∭⊉3220=NaN","layer":3},{"info":"≴∭⊉10353∟=≴∭⊉221","layer":3},{"info":"NaN∇⊂⋱≴∭⊉221=NaN","layer":2},{"info":"≴∭⊉13441⪨≂≴∭⊉21533=≴∭⊉-12650","layer":3},{"info":"≴∭⊉6210⋓≴∭⊉30204=≴∭⊉0","layer":3},{"info":"≴∭⊉-12650↳≱≴∭⊉0=≴∭⊉0","layer":2},{"info":"NaN↡⊰⫅≴∭⊉0=≴∭⊉0","layer":1},{"info":"NaN⇍⊗≴∭⊉0=≴∭⊉-466","layer":0}]}
+{"id":332,"expression_no_base_symbol":"↓⇌((⫓⪴$2227$)⊢($3822$⨲)⊹∫⫚($1689$⇉⇱⇎)∌↝$4076$↞⋁$2952$)","expression":"↓⇌((⫓⪴≴∭⊉6331)⊢(≴∭⊉14100⨲)⊹∫⫚(≴∭⊉4632⇉⇱⇎)∌↝≴∭⊉14612↞⋁≴∭⊉11415)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":581269,"operation_count":8,"complexity_ratio":72658.625,"tree":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":2227,"base":7}},"right_expr":{"type":"unary","operator":"⨲","unary_expr":{"type":"numeric_atoms","value":3822,"base":7}}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"unary","operator":"⇉⇱⇎","unary_expr":{"type":"numeric_atoms","value":1689,"base":7}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":4076,"base":7},"right_expr":{"type":"numeric_atoms","value":2952,"base":7}}}}},"used_operators":["PxpmPgHHJV","uWAJUKEvyW","5twsqlHp2o","eLxqMNBOBk","nLYMGWM7L8","9Isq31Ruls","MRPaB8lBjK","RqrPlJkxDo"],"dependent_operators":["23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","9HNa5Wba9A","DlLNRPXxWL","WR6HLWljOP","48vC8HMD2b","SUmda5xLS4","wicAB68Tmb","hrf7POJlIJ","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","XhwjNDsVaA","QiR2Oyf5Xj","uFcxV4UQCh","EWw2JM7wp4","t8gj7n24qd","keWfFq85dY","Uaa54Peajs","CArV6hThFE","13rbtpv6ld"],"result":"≴∭⊉-1661","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2227","layer":4},{"info":"compute unary expreesion, input=2227, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=4959529","layer":3},{"info":"number node, value=3822","layer":4},{"info":"compute unary expreesion, input=3822, op_id = nLYMGWM7L8, unary_op_definition = 'a⨲ = { ((a↢a)∴(118⪝a)) , if a==152 ; ((a⪄a)⫘(⫛⫱⨽a)) , else }', output=678595213","layer":3},{"info":"compute binary expreesion, left_input=4959529, right_input=678595213, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-9919302","layer":2},{"info":"number node, value=1689","layer":4},{"info":"compute unary expreesion, input=1689, op_id = MRPaB8lBjK, unary_op_definition = 'a⇉⇱⇎ = { (((a/a)⪉⨛(≯757))⪛(∷≠(-a))) }', output=-1471","layer":3},{"info":"number node, value=4076","layer":4},{"info":"number node, value=2952","layer":4},{"info":"compute binary expreesion, left_input=4076, right_input=2952, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1471, right_input=nan, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=-1471","layer":2},{"info":"compute binary expreesion, left_input=-9919302, right_input=-1471, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-340","layer":1},{"info":"compute unary expreesion, input=-340, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=-680","layer":0}],"base":7,"result_base":7,"text":"↓⇌((⫓⪴≴∭⊉6331)⊢(≴∭⊉14100⨲)⊹∫⫚(≴∭⊉4632⇉⇱⇎)∌↝≴∭⊉14612↞⋁≴∭⊉11415)=≴∭⊉-1661","reverse_text":"≴∭⊉-1661=↓⇌((⫓⪴≴∭⊉6331)⊢(≴∭⊉14100⨲)⊹∫⫚(≴∭⊉4632⇉⇱⇎)∌↝≴∭⊉14612↞⋁≴∭⊉11415)","cot":[{"info":"⫓⪴≴∭⊉6331=≴∭⊉60104161","layer":3},{"info":"≴∭⊉14100⨲=≴∭⊉22546651462","layer":3},{"info":"≴∭⊉60104161⊢≴∭⊉22546651462=≴∭⊉-150212151","layer":2},{"info":"≴∭⊉4632⇉⇱⇎=≴∭⊉-4201","layer":3},{"info":"≴∭⊉14612↞⋁≴∭⊉11415=NaN","layer":3},{"info":"≴∭⊉-4201∌↝NaN=≴∭⊉-4201","layer":2},{"info":"≴∭⊉-150212151⊹∫⫚≴∭⊉-4201=≴∭⊉-664","layer":1},{"info":"↓⇌≴∭⊉-664=≴∭⊉-1661","layer":0}]}
+{"id":333,"expression_no_base_symbol":"⊤⊝(((⪭⩑⪱$3454$)⋷(⊁⨺$1054$))⇋≉)","expression":"⊤⊝(((⪭⩑⪱≴∭⊉13033)⋷(⊁⨺≴∭⊉3034))⇋≉)","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1075710,"operation_count":5,"complexity_ratio":215142.0,"tree":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"numeric_atoms","value":3454,"base":7}},"right_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"numeric_atoms","value":1054,"base":7}}}}},"used_operators":["rXAclfmB4M","XIabStNQrY","23Mk6UjR3U","SIgE0bArFf","PxiHyQbrIp"],"dependent_operators":["sdazOOVcIp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q"],"result":"≴∭⊉-552621430","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3454","layer":4},{"info":"compute unary expreesion, input=3454, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":3},{"info":"number node, value=1054","layer":4},{"info":"compute unary expreesion, input=1054, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=8320752, right_input=160, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-8320432","layer":2},{"info":"compute unary expreesion, input=-8320432, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-16640962","layer":1},{"info":"compute unary expreesion, input=-16640962, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=-33283222","layer":0}],"base":7,"result_base":7,"text":"⊤⊝(((⪭⩑⪱≴∭⊉13033)⋷(⊁⨺≴∭⊉3034))⇋≉)=≴∭⊉-552621430","reverse_text":"≴∭⊉-552621430=⊤⊝(((⪭⩑⪱≴∭⊉13033)⋷(⊁⨺≴∭⊉3034))⇋≉)","cot":[{"info":"⪭⩑⪱≴∭⊉13033=≴∭⊉130503516","layer":3},{"info":"⊁⨺≴∭⊉3034=≴∭⊉316","layer":3},{"info":"≴∭⊉130503516⋷≴∭⊉316=≴∭⊉-130502551","layer":2},{"info":"≴∭⊉-130502551⇋≉=≴∭⊉-261305632","layer":1},{"info":"⊤⊝≴∭⊉-261305632=≴∭⊉-552621430","layer":0}]}
+{"id":334,"expression_no_base_symbol":"≦∁(⨂⪏⇭($5910$⩚⊴⇥$1376$))≥⨤⩑(⋎⨆$1116$⨔≚≋$2448$)","expression":"≦∁(⨂⪏⇭(≴∭⊉23142⩚⊴⇥≴∭⊉4004))≥⨤⩑(⋎⨆≴∭⊉3153⨔≚≋≴∭⊉10065)","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":106,"operation_count":6,"complexity_ratio":17.666666666666668,"tree":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":5910,"base":7},"right_expr":{"type":"numeric_atoms","value":1376,"base":7}}},"right_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":1116,"base":7},"right_expr":{"type":"numeric_atoms","value":2448,"base":7}}}}},"used_operators":["9ICcGScMcE","gJLn6v0xnP","AYdpE9sXAk","NTOWxs364D","E64sFOc4tB","Z57zeUYC9z"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI"],"result":"≴∭⊉3412","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5910","layer":4},{"info":"number node, value=1376","layer":4},{"info":"compute binary expreesion, left_input=5910, right_input=1376, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-7407","layer":3},{"info":"compute unary expreesion, input=-7407, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=-23200","layer":2},{"info":"number node, value=1116","layer":4},{"info":"number node, value=2448","layer":4},{"info":"compute binary expreesion, left_input=1116, right_input=2448, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"compute unary expreesion, input=9872, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-23200, right_input=0, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":1},{"info":"compute unary expreesion, input=1234, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1234","layer":0}],"base":7,"result_base":7,"text":"≦∁(⨂⪏⇭(≴∭⊉23142⩚⊴⇥≴∭⊉4004))≥⨤⩑(⋎⨆≴∭⊉3153⨔≚≋≴∭⊉10065)=≴∭⊉3412","reverse_text":"≴∭⊉3412=≦∁(⨂⪏⇭(≴∭⊉23142⩚⊴⇥≴∭⊉4004))≥⨤⩑(⋎⨆≴∭⊉3153⨔≚≋≴∭⊉10065)","cot":[{"info":"≴∭⊉23142⩚⊴⇥≴∭⊉4004=≴∭⊉-30411","layer":3},{"info":"⨂⪏⇭≴∭⊉-30411=≴∭⊉-124432","layer":2},{"info":"≴∭⊉3153⨔≚≋≴∭⊉10065=≴∭⊉40532","layer":3},{"info":"⋎⨆≴∭⊉40532=≴∭⊉0","layer":2},{"info":"≴∭⊉-124432≥⨤⩑≴∭⊉0=≴∭⊉3412","layer":1},{"info":"≦∁≴∭⊉3412=≴∭⊉3412","layer":0}]}
+{"id":335,"expression_no_base_symbol":"(≔(⊥($6439$≝⊰⇂)))∑⇟⊟((↞≼($1000$⇼⇔∾$3415$))⋥≓≎(⇐$3523$)∇⊂⋱(∂$1130$))","expression":"(≔(⊥(≴∭⊉24526≝⊰⇂)))∑⇟⊟((↞≼(≴∭⊉2626⇼⇔∾≴∭⊉12646))⋥≓≎(⇐≴∭⊉13162)∇⊂⋱(∂≴∭⊉3203))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1542,"operation_count":10,"complexity_ratio":154.2,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"unary","operator":"≝⊰⇂","unary_expr":{"type":"numeric_atoms","value":6439,"base":7}}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1000,"base":7},"right_expr":{"type":"numeric_atoms","value":3415,"base":7}}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"numeric_atoms","value":3523,"base":7}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1130,"base":7}}}}},"used_operators":["U7g4x0WXJJ","8FLs4eVsLt","Q3PJZHRvZv","htSmYCowi5","Qy55tPpLXF","DE7zCoGJt9","tifHPKVTfV","nhYeJWJD5X","nmZMaaE0Q9","Uaa54Peajs"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","fu6greOZ01","9FxExcQeMw","DlLNRPXxWL","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","rysDP5nf3Z","t8gj7n24qd","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6439","layer":4},{"info":"compute unary expreesion, input=6439, op_id = htSmYCowi5, unary_op_definition = 'a≝⊰⇂ = { (a⩷∴51) , if a<491 ; (⫛⫱⨽a) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=1294","layer":1},{"info":"number node, value=1000","layer":4},{"info":"number node, value=3415","layer":4},{"info":"compute binary expreesion, left_input=1000, right_input=3415, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=2415","layer":3},{"info":"compute unary expreesion, input=2415, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=18906","layer":2},{"info":"number node, value=3523","layer":4},{"info":"compute unary expreesion, input=3523, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=8364","layer":3},{"info":"number node, value=1130","layer":4},{"info":"compute unary expreesion, input=1130, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=8364, right_input=nan, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=16182","layer":2},{"info":"compute binary expreesion, left_input=18906, right_input=16182, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=13491","layer":1},{"info":"compute binary expreesion, left_input=1294, right_input=13491, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≔(⊥(≴∭⊉24526≝⊰⇂)))∑⇟⊟((↞≼(≴∭⊉2626⇼⇔∾≴∭⊉12646))⋥≓≎(⇐≴∭⊉13162)∇⊂⋱(∂≴∭⊉3203))=NaN","reverse_text":"NaN=(≔(⊥(≴∭⊉24526≝⊰⇂)))∑⇟⊟((↞≼(≴∭⊉2626⇼⇔∾≴∭⊉12646))⋥≓≎(⇐≴∭⊉13162)∇⊂⋱(∂≴∭⊉3203))","cot":[{"info":"≴∭⊉24526≝⊰⇂=≴∭⊉0","layer":3},{"info":"⊥≴∭⊉0=≴∭⊉0","layer":2},{"info":"≔≴∭⊉0=≴∭⊉3526","layer":1},{"info":"≴∭⊉2626⇼⇔∾≴∭⊉12646=≴∭⊉10020","layer":3},{"info":"↞≼≴∭⊉10020=≴∭⊉106056","layer":2},{"info":"⇐≴∭⊉13162=≴∭⊉33246","layer":3},{"info":"∂≴∭⊉3203=NaN","layer":3},{"info":"≴∭⊉33246∇⊂⋱NaN=≴∭⊉65115","layer":2},{"info":"≴∭⊉106056⋥≓≎≴∭⊉65115=≴∭⊉54222","layer":1},{"info":"≴∭⊉3526∑⇟⊟≴∭⊉54222=NaN","layer":0}]}
+{"id":336,"expression_no_base_symbol":"($1456$≓∲$4813$)⇻⋧≁($2776$≃$2855$)≚⊃≕(⨴⫝$2078$≎⊠⪸$6396$)⪍↜⋙(↓⇌($1612$≚⊃≕$1241$⫔⩽⩺($2337$⪒$8059$)))","expression":"(≴∭⊉4150≓∲≴∭⊉20014)⇻⋧≁(≴∭⊉11044≃≴∭⊉11216)≚⊃≕(⨴⫝≴∭⊉6026≎⊠⪸≴∭⊉24435)⪍↜⋙(↓⇌(≴∭⊉4462≚⊃≕≴∭⊉3422⫔⩽⩺(≴∭⊉6546⪒≴∭⊉32332)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":17619,"operation_count":11,"complexity_ratio":1601.7272727272727,"tree":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":1456,"base":7},"right_expr":{"type":"numeric_atoms","value":4813,"base":7}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":2776,"base":7},"right_expr":{"type":"numeric_atoms","value":2855,"base":7}}},"right_expr":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2078,"base":7},"right_expr":{"type":"numeric_atoms","value":6396,"base":7}}}},"right_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":1612,"base":7},"right_expr":{"type":"numeric_atoms","value":1241,"base":7}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2337,"base":7},"right_expr":{"type":"numeric_atoms","value":8059,"base":7}}}}},"used_operators":["L05ObWFQCd","Bmrmz2XGnR","jCPkEVoL5K","s1XTVnmDOJ","YbVcJGFEVW","SVb2v531z1","bJkvcejdHO","PxpmPgHHJV","i9eR4S00cU","f6k1SAg4EE"],"dependent_operators":["rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","Tw270M8GLb","fu6greOZ01","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1456","layer":4},{"info":"number node, value=4813","layer":4},{"info":"compute binary expreesion, left_input=1456, right_input=4813, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=15343","layer":3},{"info":"number node, value=2776","layer":4},{"info":"number node, value=2855","layer":4},{"info":"compute binary expreesion, left_input=2776, right_input=2855, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-11144","layer":3},{"info":"compute binary expreesion, left_input=15343, right_input=-11144, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":2},{"info":"number node, value=2078","layer":4},{"info":"number node, value=6396","layer":4},{"info":"compute binary expreesion, left_input=2078, right_input=6396, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=537729","layer":3},{"info":"compute unary expreesion, input=537729, op_id = SVb2v531z1, unary_op_definition = '⨴⫝a = { ((⪨⨬(⇋↷a))≬⇓((a⋅⇍a)⨑≵⋬(∡178))) , if (a⪇≇⋚963)!=62 ; (((541⋛107)⩼⇪↪(⪭⩑⪱a))⋻⩜⩜((a⊕∕a)∼(459⨽6))) , else }', output=2828198","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=2828198, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=-8488984","layer":1},{"info":"number node, value=1612","layer":4},{"info":"number node, value=1241","layer":4},{"info":"compute binary expreesion, left_input=1612, right_input=1241, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":3},{"info":"number node, value=2337","layer":4},{"info":"number node, value=8059","layer":4},{"info":"compute binary expreesion, left_input=2337, right_input=8059, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-10396","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=-10396, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-8488984, right_input=nan, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉4150≓∲≴∭⊉20014)⇻⋧≁(≴∭⊉11044≃≴∭⊉11216)≚⊃≕(⨴⫝≴∭⊉6026≎⊠⪸≴∭⊉24435)⪍↜⋙(↓⇌(≴∭⊉4462≚⊃≕≴∭⊉3422⫔⩽⩺(≴∭⊉6546⪒≴∭⊉32332)))=NaN","reverse_text":"NaN=(≴∭⊉4150≓∲≴∭⊉20014)⇻⋧≁(≴∭⊉11044≃≴∭⊉11216)≚⊃≕(⨴⫝≴∭⊉6026≎⊠⪸≴∭⊉24435)⪍↜⋙(↓⇌(≴∭⊉4462≚⊃≕≴∭⊉3422⫔⩽⩺(≴∭⊉6546⪒≴∭⊉32332)))","cot":[{"info":"≴∭⊉4150≓∲≴∭⊉20014=≴∭⊉62506","layer":3},{"info":"≴∭⊉11044≃≴∭⊉11216=≴∭⊉-44330","layer":3},{"info":"≴∭⊉62506⇻⋧≁≴∭⊉-44330=≴∭⊉-1206","layer":2},{"info":"≴∭⊉6026≎⊠⪸≴∭⊉24435=≴∭⊉4366503","layer":3},{"info":"⨴⫝≴∭⊉4366503=≴∭⊉33016322","layer":2},{"info":"≴∭⊉-1206≚⊃≕≴∭⊉33016322=≴∭⊉-132104140","layer":1},{"info":"≴∭⊉4462≚⊃≕≴∭⊉3422=≴∭⊉124","layer":3},{"info":"≴∭⊉6546⪒≴∭⊉32332=≴∭⊉-42211","layer":3},{"info":"≴∭⊉124⫔⩽⩺≴∭⊉-42211=NaN","layer":2},{"info":"↓⇌NaN=NaN","layer":1},{"info":"≴∭⊉-132104140⪍↜⋙NaN=NaN","layer":0}]}
+{"id":337,"expression_no_base_symbol":"(≀↧⇸(⨡↴$2168$)⋛(⨰⫟⨤$1359$))⋕⪉⪜($1004$∋$3331$≥⨤⩑($2026$⫥∨⫟$1719$))⇡⇂((↨$1002$)⫦⪉$1419$⫥∨⫟$1008$)","expression":"(≀↧⇸(⨡↴≴∭⊉6215)⋛(⨰⫟⨤≴∭⊉3651))⋕⪉⪜(≴∭⊉2633∋≴∭⊉12466≥⨤⩑(≴∭⊉5623⫥∨⫟≴∭⊉5004))⇡⇂((↨≴∭⊉2631)⫦⪉≴∭⊉4065⫥∨⫟≴∭⊉2640)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5678,"operation_count":12,"complexity_ratio":473.1666666666667,"tree":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"numeric_atoms","value":2168,"base":7}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1359,"base":7}}}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":1004,"base":7},"right_expr":{"type":"numeric_atoms","value":3331,"base":7}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2026,"base":7},"right_expr":{"type":"numeric_atoms","value":1719,"base":7}}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"numeric_atoms","value":1002,"base":7}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1419,"base":7},"right_expr":{"type":"numeric_atoms","value":1008,"base":7}}}}},"used_operators":["z6LnFrNh4i","ljTHtUsqzn","YbUVn0Rbpy","liw5iZPkLH","Tw270M8GLb","UMwdvZNt44","gJLn6v0xnP","ukq6epAj5P","KYD54nUTWz","wscyQdcy20","jiX4gk2v2Q"],"dependent_operators":["sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","XPYlsWDdGa","23Mk6UjR3U","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","W4YGzv6Whe","P8v4zCKN1o","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","rGHVDoGpnC","oZj3VtZNQx"],"result":"≴∭⊉411","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2168","layer":4},{"info":"compute unary expreesion, input=2168, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=3217","layer":3},{"info":"number node, value=1359","layer":4},{"info":"compute unary expreesion, input=1359, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3217, right_input=nan, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=nan","layer":1},{"info":"number node, value=1004","layer":4},{"info":"number node, value=3331","layer":4},{"info":"compute binary expreesion, left_input=1004, right_input=3331, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=6900368","layer":3},{"info":"number node, value=2026","layer":4},{"info":"number node, value=1719","layer":4},{"info":"compute binary expreesion, left_input=2026, right_input=1719, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=6900368, right_input=nan, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":2},{"info":"number node, value=1002","layer":4},{"info":"compute unary expreesion, input=1002, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":3},{"info":"number node, value=1419","layer":4},{"info":"number node, value=1008","layer":4},{"info":"compute binary expreesion, left_input=1419, right_input=1008, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=nan, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":0}],"base":7,"result_base":7,"text":"(≀↧⇸(⨡↴≴∭⊉6215)⋛(⨰⫟⨤≴∭⊉3651))⋕⪉⪜(≴∭⊉2633∋≴∭⊉12466≥⨤⩑(≴∭⊉5623⫥∨⫟≴∭⊉5004))⇡⇂((↨≴∭⊉2631)⫦⪉≴∭⊉4065⫥∨⫟≴∭⊉2640)=≴∭⊉411","reverse_text":"≴∭⊉411=(≀↧⇸(⨡↴≴∭⊉6215)⋛(⨰⫟⨤≴∭⊉3651))⋕⪉⪜(≴∭⊉2633∋≴∭⊉12466≥⨤⩑(≴∭⊉5623⫥∨⫟≴∭⊉5004))⇡⇂((↨≴∭⊉2631)⫦⪉≴∭⊉4065⫥∨⫟≴∭⊉2640)","cot":[{"info":"⨡↴≴∭⊉6215=≴∭⊉12244","layer":3},{"info":"⨰⫟⨤≴∭⊉3651=NaN","layer":3},{"info":"≴∭⊉12244⋛NaN=NaN","layer":2},{"info":"≀↧⇸NaN=NaN","layer":1},{"info":"≴∭⊉2633∋≴∭⊉12466=≴∭⊉112436456","layer":3},{"info":"≴∭⊉5623⫥∨⫟≴∭⊉5004=NaN","layer":3},{"info":"≴∭⊉112436456≥⨤⩑NaN=≴∭⊉3412","layer":2},{"info":"↨≴∭⊉2631=NaN","layer":3},{"info":"≴∭⊉4065⫥∨⫟≴∭⊉2640=NaN","layer":3},{"info":"NaN⫦⪉NaN=NaN","layer":2},{"info":"≴∭⊉3412⇡⇂NaN=NaN","layer":1},{"info":"NaN⋕⪉⪜NaN=≴∭⊉411","layer":0}]}
+{"id":338,"expression_no_base_symbol":"($2265$⋭≵$1650$%$7113$⨒$5034$)⨸($5836$⪁$2705$⪨≂(⨙⪌$1373$))⩠","expression":"(≴∭⊉6414⋭≵≴∭⊉4545%≴∭⊉26511⨒≴∭⊉20451)⨸(≴∭⊉23005⪁≴∭⊉10613⪨≂(⨙⪌≴∭⊉4001))⩠","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":69937763,"operation_count":8,"complexity_ratio":8742220.375,"tree":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":2265,"base":7},"right_expr":{"type":"numeric_atoms","value":1650,"base":7}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":7113,"base":7},"right_expr":{"type":"numeric_atoms","value":5034,"base":7}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":5836,"base":7},"right_expr":{"type":"numeric_atoms","value":2705,"base":7}},"right_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"numeric_atoms","value":1373,"base":7}}}}},"used_operators":["sJAwomhLZr","KmoU8R5UQR","k8jYdgA6NY","jBncVCNhdl","y75s1iXyHd","sdazOOVcIp","I7sXao9hZE","vEGLkm4Z2k"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","rysDP5nf3Z","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2265","layer":4},{"info":"number node, value=1650","layer":4},{"info":"compute binary expreesion, left_input=2265, right_input=1650, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"number node, value=7113","layer":4},{"info":"number node, value=5034","layer":4},{"info":"compute binary expreesion, left_input=7113, right_input=5034, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-42306","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=-42306, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-42239","layer":2},{"info":"number node, value=5836","layer":4},{"info":"number node, value=2705","layer":4},{"info":"compute binary expreesion, left_input=5836, right_input=2705, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"number node, value=1373","layer":4},{"info":"compute unary expreesion, input=1373, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=868, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-42239, right_input=nan, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=84478","layer":1},{"info":"compute unary expreesion, input=84478, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉6414⋭≵≴∭⊉4545%≴∭⊉26511⨒≴∭⊉20451)⨸(≴∭⊉23005⪁≴∭⊉10613⪨≂(⨙⪌≴∭⊉4001))⩠=≴∭⊉0","reverse_text":"≴∭⊉0=(≴∭⊉6414⋭≵≴∭⊉4545%≴∭⊉26511⨒≴∭⊉20451)⨸(≴∭⊉23005⪁≴∭⊉10613⪨≂(⨙⪌≴∭⊉4001))⩠","cot":[{"info":"≴∭⊉6414⋭≵≴∭��4545=≴∭⊉124","layer":3},{"info":"≴∭⊉26511⨒≴∭⊉20451=≴∭⊉-234225","layer":3},{"info":"≴∭⊉124%≴∭⊉-234225=≴∭⊉-234101","layer":2},{"info":"≴∭⊉23005⪁≴∭⊉10613=NaN","layer":3},{"info":"⨙⪌≴∭⊉4001=≴∭⊉2350","layer":3},{"info":"NaN⪨≂≴∭⊉2350=NaN","layer":2},{"info":"≴∭⊉-234101⨸NaN=≴∭⊉501202","layer":1},{"info":"≴∭⊉501202⩠=≴∭⊉0","layer":0}]}
+{"id":339,"expression_no_base_symbol":"((↨($2573$⨑≵⋬$7203$))⫚↹⊑($2823$⊧↖)≴⪞⇿($1289$↓$3001$))≠≀((⋎⨆$1787$⊭↱$6368$)⋝⋈⪟$3742$∳⫺$4825$≒∊(⇖⫷⫕$3496$))","expression":"((↨(≴∭⊉10334⨑≵⋬≴∭⊉30000))⫚↹⊑(≴∭⊉11142⊧↖)≴⪞⇿(≴∭⊉3521↓≴∭⊉11515))≠≀((⋎⨆≴∭⊉5132⊭↱≴∭⊉24365)⋝⋈⪟≴∭⊉13624∳⫺≴∭⊉20032≒∊(⇖⫷⫕≴∭⊉13123))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":47876047,"operation_count":13,"complexity_ratio":3682772.846153846,"tree":{"type":"binary","operator":"≠≀","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":2573,"base":7},"right_expr":{"type":"numeric_atoms","value":7203,"base":7}}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"unary","operator":"⊧↖","unary_expr":{"type":"numeric_atoms","value":2823,"base":7}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":1289,"base":7},"right_expr":{"type":"numeric_atoms","value":3001,"base":7}}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1787,"base":7},"right_expr":{"type":"numeric_atoms","value":6368,"base":7}}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":3742,"base":7},"right_expr":{"type":"numeric_atoms","value":4825,"base":7}},"right_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"numeric_atoms","value":3496,"base":7}}}}},"used_operators":["IwW236VD4Y","dfKe02y8D2","jiX4gk2v2Q","XnXgA4xnOs","lvlrscuwVU","EKiFHuOFxO","Af076pWI7l","2DDjHMKMc0","E64sFOc4tB","COABgblf1C","5KTvxBwnZo","AzXXKTstlj","UHmRx3INFg"],"dependent_operators":["eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","rGHVDoGpnC","oZj3VtZNQx","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","5twsqlHp2o","dfKe02y8D2","8HhzD0ZcuI","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","W4YGzv6Whe","t8gj7n24qd","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","W4YGzv6Whe","t8gj7n24qd","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP"],"result":"≴∭⊉644","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2573","layer":4},{"info":"number node, value=7203","layer":4},{"info":"compute binary expreesion, left_input=2573, right_input=7203, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-36177","layer":3},{"info":"compute unary expreesion, input=-36177, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":2},{"info":"number node, value=2823","layer":4},{"info":"compute unary expreesion, input=2823, op_id = EKiFHuOFxO, unary_op_definition = 'a⊧↖ = { ((a⨽a)⊢(a⫚↹⊑79)) }', output=47830040","layer":3},{"info":"number node, value=1289","layer":4},{"info":"number node, value=3001","layer":4},{"info":"compute binary expreesion, left_input=1289, right_input=3001, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=47830040, right_input=-134, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=inf","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=inf, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":1},{"info":"number node, value=1787","layer":4},{"info":"number node, value=6368","layer":4},{"info":"compute binary expreesion, left_input=1787, right_input=6368, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=9167","layer":3},{"info":"compute unary expreesion, input=9167, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=0","layer":2},{"info":"number node, value=3742","layer":4},{"info":"number node, value=4825","layer":4},{"info":"compute binary expreesion, left_input=3742, right_input=4825, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":3},{"info":"number node, value=3496","layer":4},{"info":"compute unary expreesion, input=3496, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":3},{"info":"compute binary expreesion, left_input=-260, right_input=2822, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=744","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=744, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-447, right_input=0, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=326","layer":0}],"base":7,"result_base":7,"text":"((↨(≴∭⊉10334⨑≵⋬≴∭⊉30000))⫚↹⊑(≴∭⊉11142⊧↖)≴⪞⇿(≴∭⊉3521↓≴∭⊉11515))≠≀((⋎⨆≴∭⊉5132⊭↱≴∭⊉24365)⋝⋈⪟≴∭⊉13624∳⫺≴∭⊉20032≒∊(⇖⫷⫕≴∭⊉13123))=≴∭⊉644","reverse_text":"≴∭⊉644=((↨(≴∭⊉10334⨑≵⋬≴∭⊉30000))⫚↹⊑(≴∭⊉11142⊧↖)≴⪞⇿(≴∭⊉3521↓≴∭⊉11515))≠≀((⋎⨆≴∭⊉5132⊭↱≴∭⊉24365)⋝⋈⪟≴∭⊉13624∳⫺≴∭⊉20032≒∊(⇖⫷⫕≴∭⊉13123))","cot":[{"info":"≴∭⊉10334⨑≵⋬≴∭⊉30000=≴∭⊉-210321","layer":3},{"info":"↨≴∭⊉-210321=NaN","layer":2},{"info":"≴∭⊉11142⊧↖=≴∭⊉1120356116","layer":3},{"info":"≴∭⊉3521↓≴∭⊉11515=≴∭⊉-251","layer":3},{"info":"≴∭⊉1120356116≴⪞⇿≴∭⊉-251=Inf","layer":2},{"info":"NaN⫚↹⊑Inf=≴∭⊉-1206","layer":1},{"info":"≴∭⊉5132⊭↱≴∭⊉24365=≴∭⊉35504","layer":3},{"info":"⋎⨆≴∭⊉35504=≴∭⊉0","layer":2},{"info":"≴∭⊉13624∳⫺≴∭⊉20032=≴∭⊉-521","layer":3},{"info":"⇖⫷⫕≴∭⊉13123=≴∭⊉11141","layer":3},{"info":"≴∭⊉-521≒∊≴∭⊉11141=≴∭⊉2112","layer":2},{"info":"≴∭⊉0⋝⋈⪟≴∭⊉2112=≴∭⊉0","layer":1},{"info":"≴∭⊉-1206≠≀≴∭⊉0=≴∭⊉644","layer":0}]}
+{"id":340,"expression_no_base_symbol":"⪹(($6890$⋭≵$1068$+$1831$⊴$6589$)+⇶⊼($3844$⪪$1603$)⨂≜($1530$⨵⪆$2653$))","expression":"⪹((≴∭⊉26042⋭≵≴∭⊉3054+≴∭⊉5224⊴≴∭⊉25132)+⇶⊼(≴∭⊉14131⪪≴∭⊉4450)⨂≜(≴∭⊉4314⨵⪆≴∭⊉10510))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1294774,"operation_count":8,"complexity_ratio":161846.75,"tree":{"type":"unary","operator":"⪹","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":6890,"base":7},"right_expr":{"type":"numeric_atoms","value":1068,"base":7}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1831,"base":7},"right_expr":{"type":"numeric_atoms","value":6589,"base":7}}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":3844,"base":7},"right_expr":{"type":"numeric_atoms","value":1603,"base":7}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1530,"base":7},"right_expr":{"type":"numeric_atoms","value":2653,"base":7}}}}},"used_operators":["USyYr0JgAa","TpPTUOHfaN","W4YGzv6Whe","jBncVCNhdl","Nsiff2A1zJ","k1SHOSEABc","xD69zh8xqp","2DQ55sFlQl"],"dependent_operators":["tifHPKVTfV","AHs5Up7iyr","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","dWAJyo7jo9","14qkJME0vr","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","FU0Cs4j7VP","JclMnS0uGI","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6890","layer":4},{"info":"number node, value=1068","layer":4},{"info":"compute binary expreesion, left_input=6890, right_input=1068, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"number node, value=1831","layer":4},{"info":"number node, value=6589","layer":4},{"info":"compute binary expreesion, left_input=1831, right_input=6589, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=3844","layer":4},{"info":"number node, value=1603","layer":4},{"info":"compute binary expreesion, left_input=3844, right_input=1603, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-576533","layer":3},{"info":"number node, value=1530","layer":4},{"info":"number node, value=2653","layer":4},{"info":"compute binary expreesion, left_input=1530, right_input=2653, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-576533, right_input=160, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"⪹((≴∭⊉26042⋭≵≴∭⊉3054+≴∭⊉5224⊴≴∭⊉25132)+⇶⊼(≴∭⊉14131⪪≴∭⊉4450)⨂≜(≴∭⊉4314⨵⪆≴∭⊉10510))=NaN","reverse_text":"NaN=⪹((≴∭⊉26042⋭≵≴∭⊉3054+≴∭⊉5224⊴≴∭⊉25132)+⇶⊼(≴∭⊉14131⪪≴∭⊉4450)⨂≜(≴∭⊉4314⨵⪆≴∭⊉10510))","cot":[{"info":"≴∭⊉26042⋭≵≴∭⊉3054=≴∭⊉124","layer":3},{"info":"≴∭⊉5224⊴≴∭⊉25132=NaN","layer":3},{"info":"≴∭⊉124+NaN=NaN","layer":2},{"info":"≴∭⊉14131⪪≴∭⊉4450=≴∭⊉-4620566","layer":3},{"info":"≴∭⊉4314⨵⪆≴∭⊉10510=≴∭⊉316","layer":3},{"info":"≴∭⊉-4620566⨂≜≴∭⊉316=NaN","layer":2},{"info":"NaN+⇶⊼NaN=NaN","layer":1},{"info":"⪹NaN=NaN","layer":0}]}
+{"id":341,"expression_no_base_symbol":"((⊖∈$1093$⊲⩕⊾$5062$)⊉≛↸($1008$↞⋁$2489$⋷$1069$⋹⋡⊁$1594$))↡⊰⫅(⊆⋠($2888$⫦⪉$1264$))⩁⩘($2847$⋓$1155$)⨿($1574$→⨶⪴$8457$)","expression":"((⊖∈≴∭⊉3121⊲⩕⊾≴∭⊉20521)⊉≛↸(≴∭⊉2640↞⋁≴∭⊉10154⋷≴∭⊉3055⋹⋡⊁≴∭⊉4435))↡⊰⫅(⊆⋠(≴∭⊉11264⫦⪉≴∭⊉3454))⩁⩘(≴∭⊉11205⋓≴∭⊉3240)⨿(≴∭⊉4406→⨶⪴≴∭⊉33441)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":277456,"operation_count":13,"complexity_ratio":21342.76923076923,"tree":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":1093,"base":7},"right_expr":{"type":"numeric_atoms","value":5062,"base":7}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":1008,"base":7},"right_expr":{"type":"numeric_atoms","value":2489,"base":7}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":1069,"base":7},"right_expr":{"type":"numeric_atoms","value":1594,"base":7}}}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":2888,"base":7},"right_expr":{"type":"numeric_atoms","value":1264,"base":7}}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2847,"base":7},"right_expr":{"type":"numeric_atoms","value":1155,"base":7}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":1574,"base":7},"right_expr":{"type":"numeric_atoms","value":8457,"base":7}}}}},"used_operators":["VCtxkLNOzz","DZ8iAZOCBD","YFxL8Sc2Zy","DmTXOeWf9t","23Mk6UjR3U","RqrPlJkxDo","As8RqfVLgs","gub5Cegaqo","EBhcHTkKd8","wscyQdcy20","abYXlopdE0","T2fj7uvVaJ","bF6eod5Gvf"],"dependent_operators":["Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","DpFCA1CohY","IWmyXbctLI","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","8w2t5hMYqp","9FxExcQeMw"],"result":"≴∭⊉11231","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1093","layer":4},{"info":"number node, value=5062","layer":4},{"info":"compute binary expreesion, left_input=1093, right_input=5062, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-64738","layer":3},{"info":"compute unary expreesion, input=-64738, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=inf","layer":2},{"info":"number node, value=1008","layer":4},{"info":"number node, value=2489","layer":4},{"info":"compute binary expreesion, left_input=1008, right_input=2489, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"number node, value=1069","layer":4},{"info":"number node, value=1594","layer":4},{"info":"compute binary expreesion, left_input=1069, right_input=1594, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=2344","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2344, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=inf, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=inf","layer":1},{"info":"number node, value=2888","layer":4},{"info":"number node, value=1264","layer":4},{"info":"compute binary expreesion, left_input=2888, right_input=1264, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-876","layer":3},{"info":"compute unary expreesion, input=-876, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=5999","layer":2},{"info":"number node, value=2847","layer":4},{"info":"number node, value=1155","layer":4},{"info":"compute binary expreesion, left_input=2847, right_input=1155, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"number node, value=1574","layer":4},{"info":"number node, value=8457","layer":4},{"info":"compute binary expreesion, left_input=1574, right_input=8457, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-25371","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-25371, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=121","layer":2},{"info":"compute binary expreesion, left_input=5999, right_input=121, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=1432","layer":1},{"info":"compute binary expreesion, left_input=inf, right_input=1432, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=2864","layer":0}],"base":7,"result_base":7,"text":"((⊖∈≴∭⊉3121⊲⩕⊾≴∭⊉20521)⊉≛↸(≴∭⊉2640↞⋁≴∭⊉10154⋷≴∭⊉3055⋹⋡⊁≴∭⊉4435))↡⊰⫅(⊆⋠(≴∭⊉11264⫦⪉≴∭⊉3454))⩁⩘(≴∭⊉11205⋓≴∭⊉3240)⨿(≴∭⊉4406→⨶⪴≴∭⊉33441)=≴∭⊉11231","reverse_text":"≴∭⊉11231=((⊖∈≴∭⊉3121⊲⩕⊾≴∭⊉20521)⊉≛↸(≴∭⊉2640↞⋁≴∭⊉10154⋷≴∭⊉3055⋹⋡⊁≴∭⊉4435))↡⊰⫅(⊆⋠(≴∭⊉11264⫦⪉≴∭⊉3454))⩁⩘(≴∭⊉11205⋓≴∭⊉3240)⨿(≴∭⊉4406→⨶⪴≴∭⊉33441)","cot":[{"info":"≴∭⊉3121⊲⩕⊾≴∭⊉20521=≴∭⊉-356512","layer":3},{"info":"⊖∈≴∭⊉-356512=Inf","layer":2},{"info":"≴∭⊉2640↞⋁≴∭⊉10154=NaN","layer":3},{"info":"≴∭⊉3055⋹⋡⊁≴∭⊉4435=≴∭⊉6556","layer":3},{"info":"NaN⋷≴∭⊉6556=NaN","layer":2},{"info":"Inf⊉≛↸NaN=Inf","layer":1},{"info":"≴∭⊉11264⫦⪉≴∭⊉3454=≴∭⊉-2361","layer":3},{"info":"⊆⋠≴∭⊉-2361=≴∭⊉23330","layer":2},{"info":"≴∭⊉11205⋓≴∭⊉3240=≴∭⊉0","layer":3},{"info":"≴∭⊉4406→⨶⪴≴∭⊉33441=≴∭⊉-133653","layer":3},{"info":"≴∭⊉0⨿≴∭⊉-133653=≴∭⊉232","layer":2},{"info":"≴∭⊉23330⩁⩘≴∭⊉232=≴∭⊉4114","layer":1},{"info":"Inf↡⊰⫅≴∭⊉4114=≴∭⊉11231","layer":0}]}
+{"id":342,"expression_no_base_symbol":"⊊≼∋(($1322$⇣⩺⋵$2649$⨽$2110$⫒⫫$1253$)⋐⇩⊬)","expression":"⊊≼∋((≴∭⊉3566⇣⩺⋵≴∭⊉10503⨽≴∭⊉6103⫒⫫≴∭⊉3440)⋐⇩⊬)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":361,"operation_count":5,"complexity_ratio":72.2,"tree":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"unary","operator":"⋐⇩⊬","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":1322,"base":7},"right_expr":{"type":"numeric_atoms","value":2649,"base":7}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":2110,"base":7},"right_expr":{"type":"numeric_atoms","value":1253,"base":7}}}}},"used_operators":["FWz7pXsQhA","JuuLT1NoCs","8HhzD0ZcuI","F4yD0voBRQ","6Ko8hGgeMq"],"dependent_operators":["B5M0gjZbta","jCPkEVoL5K","mp7IySMOzn","JclMnS0uGI","ddLRYrp01A","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1322","layer":4},{"info":"number node, value=2649","layer":4},{"info":"compute binary expreesion, left_input=1322, right_input=2649, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"number node, value=2110","layer":4},{"info":"number node, value=1253","layer":4},{"info":"compute binary expreesion, left_input=2110, right_input=1253, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-260, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = JuuLT1NoCs, unary_op_definition = 'a⋐⇩⊬ = { (a⨔⇊a) , if (a∊∟⩊189)<=582 ; (a⇷a) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"⊊≼∋((≴∭⊉3566⇣⩺⋵≴∭⊉10503⨽≴∭⊉6103⫒⫫≴∭⊉3440)⋐⇩⊬)=NaN","reverse_text":"NaN=⊊≼∋((≴∭⊉3566⇣⩺⋵≴∭⊉10503⨽≴∭⊉6103⫒⫫≴∭⊉3440)⋐⇩⊬)","cot":[{"info":"≴∭⊉3566⇣⩺⋵≴∭⊉10503=≴∭⊉-521","layer":3},{"info":"≴∭⊉6103⫒⫫≴∭⊉3440=NaN","layer":3},{"info":"≴∭⊉-521⨽NaN=NaN","layer":2},{"info":"NaN⋐⇩⊬=NaN","layer":1},{"info":"⊊≼∋NaN=NaN","layer":0}]}
+{"id":343,"expression_no_base_symbol":"(($1737$∙⊟$5419$∕⩚(⇉-⫰$1842$))⪡(≸≮($7038$⨰$4670$)))⫒⫫(↑(⨰⫟⨤($6509$⊅)))","expression":"((≴∭⊉5031∙⊟≴∭⊉21541∕⩚(⇉-⫰≴∭⊉5241))⪡(≸≮(≴∭⊉26343⨰≴∭⊉16421)))⫒⫫(↑(⨰⫟⨤(≴∭⊉24656⊅)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":13521,"operation_count":10,"complexity_ratio":1352.1,"tree":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":1737,"base":7},"right_expr":{"type":"numeric_atoms","value":5419,"base":7}},"right_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"numeric_atoms","value":1842,"base":7}}},"right_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":7038,"base":7},"right_expr":{"type":"numeric_atoms","value":4670,"base":7}}}},"right_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"unary","operator":"⊅","unary_expr":{"type":"numeric_atoms","value":6509,"base":7}}}}},"used_operators":["6Ko8hGgeMq","oraRL2iQuh","z9ffQ9n5Zr","SxTAKzQCrw","IGFM8TAlm9","AljMvE3RRm","eewbuw0ToL","tR7O2zTn5j","Tw270M8GLb","7p6YLioM7f"],"dependent_operators":["jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","eH2TOUuTDT","eewbuw0ToL","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","SUmda5xLS4","vg4gO5BX6G","HrjLwUk87U"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1737","layer":4},{"info":"number node, value=5419","layer":4},{"info":"compute binary expreesion, left_input=1737, right_input=5419, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=32427","layer":3},{"info":"number node, value=1842","layer":4},{"info":"compute unary expreesion, input=1842, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":3},{"info":"compute binary expreesion, left_input=32427, right_input=20, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":2},{"info":"number node, value=7038","layer":4},{"info":"number node, value=4670","layer":4},{"info":"compute binary expreesion, left_input=7038, right_input=4670, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=2378","layer":3},{"info":"compute unary expreesion, input=2378, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-487, right_input=nan, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=1942","layer":1},{"info":"number node, value=6509","layer":4},{"info":"compute unary expreesion, input=6509, op_id = 7p6YLioM7f, unary_op_definition = 'a⊅ = { ((a⪄a)⊨(517⪚a)) }', output=-174","layer":3},{"info":"compute unary expreesion, input=-174, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1942, right_input=nan, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉5031∙⊟≴∭⊉21541∕⩚(⇉-⫰≴∭⊉5241))⪡(≸≮(≴∭⊉26343⨰≴∭⊉16421)))⫒⫫(↑(⨰⫟⨤(≴∭⊉24656⊅)))=NaN","reverse_text":"NaN=((≴∭⊉5031∙⊟≴∭⊉21541∕⩚(⇉-⫰≴∭⊉5241))⪡(≸≮(≴∭⊉26343⨰≴∭⊉16421)))⫒⫫(↑(⨰⫟⨤(≴∭⊉24656⊅)))","cot":[{"info":"≴∭⊉5031∙⊟≴∭⊉21541=≴∭⊉163353","layer":3},{"info":"⇉-⫰≴∭⊉5241=≴∭⊉26","layer":3},{"info":"≴∭⊉163353∕⩚≴∭⊉26=≴∭⊉-1264","layer":2},{"info":"≴∭⊉26343⨰≴∭⊉16421=≴∭⊉6635","layer":3},{"info":"≸≮≴∭⊉6635=NaN","layer":2},{"info":"≴∭⊉-1264⪡NaN=≴∭⊉5443","layer":1},{"info":"≴∭⊉24656⊅=≴∭⊉-336","layer":3},{"info":"⨰⫟⨤≴∭⊉-336=NaN","layer":2},{"info":"↑NaN=NaN","layer":1},{"info":"≴∭⊉5443⫒⫫NaN=NaN","layer":0}]}
+{"id":344,"expression_no_base_symbol":"($2160$⪨⊡$3900$⫥∨⫟(∮$4349$)⊠≄⫣)↠","expression":"(≴∭⊉6204⪨⊡≴∭⊉14241⫥∨⫟(∮≴∭⊉15452)⊠≄⫣)↠","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":493,"operation_count":5,"complexity_ratio":98.6,"tree":{"type":"unary","operator":"↠","unary_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":2160,"base":7},"right_expr":{"type":"numeric_atoms","value":3900,"base":7}},"right_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"numeric_atoms","value":4349,"base":7}}}}},"used_operators":["LBdsKIvxzf","DIvbN7qnHd","KYD54nUTWz","kuIXHzHcAH","CqXKPLVYql"],"dependent_operators":["d7ASUq0ydm","rysDP5nf3Z","Noe24qw2ks","xRrnTEsQ6j","dfKe02y8D2","Tw270M8GLb","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL"],"result":"≴∭⊉-1206","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=2160","layer":4},{"info":"number node, value=3900","layer":4},{"info":"compute binary expreesion, left_input=2160, right_input=3900, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=4349","layer":4},{"info":"compute unary expreesion, input=4349, op_id = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=67, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = LBdsKIvxzf, unary_op_definition = 'a↠ = { ((⨰⫟⨤603)⨐(a⫯⪬∳a)) , if (a⫁⪎18)<=15 ; (167⫚↹⊑(a-a)) , else }', output=-447","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉6204⪨⊡≴∭⊉14241⫥∨⫟(∮≴∭⊉15452)⊠≄⫣)↠=≴∭⊉-1206","reverse_text":"≴∭⊉-1206=(≴∭⊉6204⪨⊡≴∭⊉14241⫥∨⫟(∮≴∭⊉15452)⊠≄⫣)↠","cot":[{"info":"≴∭⊉6204⪨⊡≴∭⊉14241=≴∭⊉0","layer":3},{"info":"∮≴∭⊉15452=≴∭⊉124","layer":3},{"info":"≴∭⊉0⫥∨⫟≴∭⊉124=NaN","layer":2},{"info":"NaN⊠≄⫣=NaN","layer":1},{"info":"NaN↠=≴∭⊉-1206","layer":0}]}
+{"id":345,"expression_no_base_symbol":"(($1946$⇴$2471$)∼$2375$↤⩊$1056$⨸⪁$4055$⫣⪄⊒$2196$⊉↱≁($5474$⫃⨇$1188$))⋥≓≎($1493$⊢)≨(⋗⩴⪓$4152$)⊬⨰(↔($1865$⫦⪉$2491$))","expression":"((≴∭⊉5450⇴≴∭⊉10130)∼≴∭⊉6632↤⩊≴∭⊉3036⨸⪁≴∭⊉14552⫣⪄⊒≴∭⊉6255⊉↱≁(≴∭⊉21650⫃⨇≴∭⊉3315))⋥≓≎(≴∭⊉4232⊢)≨(⋗⩴⪓≴∭⊉15051)⊬⨰(↔(≴∭⊉5303⫦⪉≴∭⊉10156))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":15972,"operation_count":14,"complexity_ratio":1140.857142857143,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":1946,"base":7},"right_expr":{"type":"numeric_atoms","value":2471,"base":7}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":2375,"base":7},"right_expr":{"type":"numeric_atoms","value":1056,"base":7}}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":4055,"base":7},"right_expr":{"type":"numeric_atoms","value":2196,"base":7}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":5474,"base":7},"right_expr":{"type":"numeric_atoms","value":1188,"base":7}}}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"unary","operator":"⊢","unary_expr":{"type":"numeric_atoms","value":1493,"base":7}},"right_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"numeric_atoms","value":4152,"base":7}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":1865,"base":7},"right_expr":{"type":"numeric_atoms","value":2491,"base":7}}}}},"used_operators":["Qy55tPpLXF","g55IO6H4Gj","DyGG3AbaNP","4JB6nKBMSY","13rbtpv6ld","w2P8NbNXyL","RabNbG55vr","09Ly4LVMIf","s3Fd5m9Dh2","0KMCeP1Jsh","40aOVDgCDB","nOKPl9n5zu","ruOEQAzv1W","wscyQdcy20"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","sdazOOVcIp","NTOWxs364D","COABgblf1C","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","NTOWxs364D","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf"],"result":"≴∭⊉124","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1946","layer":4},{"info":"number node, value=2471","layer":4},{"info":"compute binary expreesion, left_input=1946, right_input=2471, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=16232","layer":3},{"info":"number node, value=2375","layer":4},{"info":"number node, value=1056","layer":4},{"info":"compute binary expreesion, left_input=2375, right_input=1056, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=16232, right_input=nan, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"number node, value=4055","layer":4},{"info":"number node, value=2196","layer":4},{"info":"compute binary expreesion, left_input=4055, right_input=2196, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-5578","layer":3},{"info":"number node, value=5474","layer":4},{"info":"number node, value=1188","layer":4},{"info":"compute binary expreesion, left_input=5474, right_input=1188, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-4784","layer":3},{"info":"compute binary expreesion, left_input=-5578, right_input=-4784, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-28190","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-28190, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"number node, value=1493","layer":4},{"info":"compute unary expreesion, input=1493, op_id = 40aOVDgCDB, unary_op_definition = 'a⊢ = { a , if a<=675 ; (a⩚⊴⇥126) , else }', output=-1740","layer":3},{"info":"number node, value=4152","layer":4},{"info":"compute unary expreesion, input=4152, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=-3239","layer":3},{"info":"compute binary expreesion, left_input=-1740, right_input=-3239, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=4136","layer":2},{"info":"number node, value=1865","layer":4},{"info":"number node, value=2491","layer":4},{"info":"compute binary expreesion, left_input=1865, right_input=2491, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=1170","layer":3},{"info":"compute unary expreesion, input=1170, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-897","layer":2},{"info":"compute binary expreesion, left_input=4136, right_input=-897, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=-508","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-508, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉5450⇴≴∭⊉10130)∼≴∭⊉6632↤⩊≴∭⊉3036⨸⪁≴∭⊉14552⫣⪄⊒≴∭⊉6255⊉↱≁(≴∭⊉21650⫃⨇≴∭⊉3315))⋥≓≎(≴∭⊉4232⊢)≨(⋗⩴⪓≴∭⊉15051)⊬⨰(↔(≴∭⊉5303⫦⪉≴∭⊉10156))=≴∭⊉124","reverse_text":"≴∭⊉124=((≴∭⊉5450⇴≴∭⊉10130)∼≴∭⊉6632↤⩊≴∭⊉3036⨸⪁≴∭⊉14552⫣⪄⊒≴∭⊉6255⊉↱≁(≴∭⊉21650⫃⨇≴∭⊉3315))⋥≓≎(≴∭⊉4232⊢)≨(⋗⩴⪓≴∭⊉15051)⊬⨰(↔(≴∭⊉5303⫦⪉≴∭⊉10156))","cot":[{"info":"≴∭⊉5450⇴≴∭⊉10130=≴∭⊉65216","layer":3},{"info":"≴∭⊉6632↤⩊≴∭⊉3036=NaN","layer":3},{"info":"≴∭⊉65216∼NaN=NaN","layer":2},{"info":"≴∭⊉14552⫣⪄⊒≴∭⊉6255=≴∭⊉-22156","layer":3},{"info":"≴∭⊉21650⫃⨇≴∭⊉3315=≴∭⊉-16643","layer":3},{"info":"≴∭⊉-22156⊉↱≁≴∭⊉-16643=≴∭⊉-145121","layer":2},{"info":"NaN⨸⪁≴∭⊉-145121=NaN","layer":1},{"info":"≴∭⊉4232⊢=≴∭⊉-5034","layer":3},{"info":"⋗⩴⪓≴∭⊉15051=≴∭⊉-12305","layer":3},{"info":"≴∭⊉-5034≨≴∭⊉-12305=≴∭⊉15026","layer":2},{"info":"≴∭⊉5303⫦⪉≴∭⊉10156=≴∭⊉3261","layer":3},{"info":"↔≴∭⊉3261=≴∭⊉-2421","layer":2},{"info":"≴∭⊉15026⊬⨰≴∭⊉-2421=≴∭⊉-1324","layer":1},{"info":"NaN⋥≓≎≴∭⊉-1324=≴∭⊉124","layer":0}]}
+{"id":346,"expression_no_base_symbol":"⪸(($5371$≎⊠⪸$1243$⫃⨇($8477$∷$2023$))⊘)","expression":"⪸((≴∭⊉21442≎⊠⪸≴∭⊉3424⫃⨇(≴∭⊉33500∷≴∭⊉5620))⊘)","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":336,"operation_count":5,"complexity_ratio":67.2,"tree":{"type":"unary","operator":"⪸","unary_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":5371,"base":7},"right_expr":{"type":"numeric_atoms","value":1243,"base":7}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":8477,"base":7},"right_expr":{"type":"numeric_atoms","value":2023,"base":7}}}}},"used_operators":["86A5ENbKR9","gu96TGCTMs","09Ly4LVMIf","bJkvcejdHO","D3AQDKkPcf"],"dependent_operators":["Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","9FxExcQeMw","NTOWxs364D","7j4O788W3g"],"result":"≴∭⊉6455","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5371","layer":4},{"info":"number node, value=1243","layer":4},{"info":"compute binary expreesion, left_input=5371, right_input=1243, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1390616","layer":3},{"info":"number node, value=8477","layer":4},{"info":"number node, value=2023","layer":4},{"info":"compute binary expreesion, left_input=8477, right_input=2023, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=2023","layer":3},{"info":"compute binary expreesion, left_input=1390616, right_input=2023, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-8124","layer":2},{"info":"compute unary expreesion, input=-8124, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=-1","layer":1},{"info":"compute unary expreesion, input=-1, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=2294","layer":0}],"base":7,"result_base":7,"text":"⪸((≴∭⊉21442≎⊠⪸≴∭⊉3424⫃⨇(≴∭⊉33500∷≴∭⊉5620))⊘)=≴∭⊉6455","reverse_text":"≴∭⊉6455=⪸((≴∭⊉21442≎⊠⪸≴∭⊉3424⫃⨇(≴∭⊉33500∷≴∭⊉5620))⊘)","cot":[{"info":"≴∭⊉21442≎⊠⪸≴∭⊉3424=≴∭⊉14551163","layer":3},{"info":"≴∭⊉33500∷≴∭⊉5620=≴∭⊉5620","layer":3},{"info":"≴∭⊉14551163⫃⨇≴∭⊉5620=≴∭⊉-32454","layer":2},{"info":"≴∭⊉-32454⊘=≴∭⊉-1","layer":1},{"info":"⪸≴∭⊉-1=≴∭⊉6455","layer":0}]}
+{"id":347,"expression_no_base_symbol":"((↩$2221$)⫞⩸⩒($4084$⪥$1030$))≁↽≥($4706$⊨$2204$⪨⊡(⊑$3897$))⨼⩣((↘($1927$⇼⇔∾$1019$))-(∤↝(⊖∈$5653$)))","expression":"((↩≴∭⊉6322)⫞⩸⩒(≴∭⊉14623⪥≴∭⊉3001))≁↽≥(≴∭⊉16502⊨≴∭⊉6266⪨⊡(⊑≴∭⊉14235))⨼⩣((↘(≴∭⊉5422⇼⇔∾≴∭⊉2654))-(∤↝(⊖∈≴∭⊉22324)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":322582,"operation_count":13,"complexity_ratio":24814.0,"tree":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":2221,"base":7}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":4084,"base":7},"right_expr":{"type":"numeric_atoms","value":1030,"base":7}}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":4706,"base":7},"right_expr":{"type":"numeric_atoms","value":2204,"base":7}},"right_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"numeric_atoms","value":3897,"base":7}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1927,"base":7},"right_expr":{"type":"numeric_atoms","value":1019,"base":7}}},"right_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"numeric_atoms","value":5653,"base":7}}}}},"used_operators":["JxwMv5le6e","ncHt1X6cMc","XGcMNugi78","jLgFTUHLKL","QbnwKVWMIQ","kuIXHzHcAH","vg4gO5BX6G","IkUmn0D7oy","rysDP5nf3Z","LdNpr8hQHL","tifHPKVTfV","3UMq87Qwqg","YFxL8Sc2Zy"],"dependent_operators":["uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","oWn0xqSxBt","3Oe9XWJUTD","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","uFcxV4UQCh","rysDP5nf3Z","t8gj7n24qd","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2221","layer":4},{"info":"compute unary expreesion, input=2221, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-14988","layer":3},{"info":"number node, value=4084","layer":4},{"info":"number node, value=1030","layer":4},{"info":"compute binary expreesion, left_input=4084, right_input=1030, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=20988","layer":3},{"info":"compute binary expreesion, left_input=-14988, right_input=20988, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=-14988","layer":2},{"info":"number node, value=4706","layer":4},{"info":"number node, value=2204","layer":4},{"info":"compute binary expreesion, left_input=4706, right_input=2204, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=19855","layer":3},{"info":"number node, value=3897","layer":4},{"info":"compute unary expreesion, input=3897, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":3},{"info":"compute binary expreesion, left_input=19855, right_input=192, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=81","layer":2},{"info":"compute binary expreesion, left_input=-14988, right_input=81, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=0","layer":1},{"info":"number node, value=1927","layer":4},{"info":"number node, value=1019","layer":4},{"info":"compute binary expreesion, left_input=1927, right_input=1019, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-908","layer":3},{"info":"compute unary expreesion, input=-908, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=268","layer":2},{"info":"number node, value=5653","layer":4},{"info":"compute unary expreesion, input=5653, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=107466","layer":3},{"info":"compute unary expreesion, input=107466, op_id = 3UMq87Qwqg, unary_op_definition = '∤↝a = { a , if ((a⊬⨰244)<=56 or (⫇a)>308 or (a⨐673)<=60) ; (((↩⪖a)⩼⇪↪(57∝206))↺(↩(⊲⪭a))) , else }', output=107466","layer":2},{"info":"compute binary expreesion, left_input=268, right_input=107466, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-107198","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-107198, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((↩≴∭⊉6322)⫞⩸⩒(≴∭⊉14623⪥≴∭⊉3001))≁↽≥(≴∭⊉16502⊨≴∭⊉6266⪨⊡(⊑≴∭⊉14235))⨼⩣((↘(≴∭⊉5422⇼⇔∾≴∭⊉2654))-(∤↝(⊖∈≴∭⊉22324)))=NaN","reverse_text":"NaN=((↩≴∭⊉6322)⫞⩸⩒(≴∭⊉14623⪥≴∭⊉3001))≁↽≥(≴∭⊉16502⊨≴∭⊉6266⪨⊡(⊑≴∭⊉14235))⨼⩣((↘(≴∭⊉5422⇼⇔∾≴∭⊉2654))-(∤↝(⊖∈≴∭⊉22324)))","cot":[{"info":"↩≴∭⊉6322=≴∭⊉-61461","layer":3},{"info":"≴∭⊉14623⪥≴∭⊉3001=≴∭⊉115122","layer":3},{"info":"≴∭⊉-61461⫞⩸⩒≴∭⊉115122=≴∭⊉-61461","layer":2},{"info":"≴∭⊉16502⊨≴∭⊉6266=≴∭⊉111613","layer":3},{"info":"⊑≴∭⊉14235=≴∭⊉363","layer":3},{"info":"≴∭⊉111613⪨⊡≴∭⊉363=≴∭⊉144","layer":2},{"info":"≴∭⊉-61461≁↽≥≴∭⊉144=≴∭⊉0","layer":1},{"info":"≴∭⊉5422⇼⇔∾≴∭⊉2654=≴∭⊉-2435","layer":3},{"info":"↘≴∭⊉-2435=≴∭⊉532","layer":2},{"info":"⊖∈≴∭⊉22324=≴∭⊉625212","layer":3},{"info":"∤↝≴∭⊉625212=≴∭⊉625212","layer":2},{"info":"≴∭⊉532-≴∭⊉625212=≴∭⊉-624350","layer":1},{"info":"≴∭⊉0⨼⩣≴∭⊉-624350=NaN","layer":0}]}
+{"id":348,"expression_no_base_symbol":"(⇈(∜⨇($3918$⫒⫫$1030$)))∪⫐(($4589$⋳⪒$1029$)⋘⨑⨽)⊋($2502$⩵∡$8157$⫃⨇$1976$∥⊢⊲$1992$)","expression":"(⇈(∜⨇(≴∭⊉14265⫒⫫≴∭⊉3001)))∪⫐((≴∭⊉16244⋳⪒≴∭⊉3000)⋘⨑⨽)⊋(≴∭⊉10203⩵∡≴∭⊉32532⫃⨇≴∭⊉5522∥⊢⊲≴∭⊉5544)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1157,"operation_count":10,"complexity_ratio":115.7,"tree":{"type":"binary","operator":"∪⫐","left_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":3918,"base":7},"right_expr":{"type":"numeric_atoms","value":1030,"base":7}}}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"unary","operator":"⋘⨑⨽","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":4589,"base":7},"right_expr":{"type":"numeric_atoms","value":1029,"base":7}}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":2502,"base":7},"right_expr":{"type":"numeric_atoms","value":8157,"base":7}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":1976,"base":7},"right_expr":{"type":"numeric_atoms","value":1992,"base":7}}}}},"used_operators":["7YooWSwCyH","SLLxy00UIr","uFPyJr306J","6Ko8hGgeMq","W4tP9CfskL","WmT3o8z6ya","12rbrZMWeM","09Ly4LVMIf","Y7wcNGrDQJ","v1UQAVDJRr"],"dependent_operators":["rJVOvQCfKK","2DDjHMKMc0","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","W4YGzv6Whe","DpFCA1CohY","N41Kp7NANJ","8w2t5hMYqp","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","NTOWxs364D","glklzrTFfD","tifHPKVTfV","EBcxylXtPf","rGHVDoGpnC"],"result":"≴∭⊉-1206","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3918","layer":4},{"info":"number node, value=1030","layer":4},{"info":"compute binary expreesion, left_input=3918, right_input=1030, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":1},{"info":"number node, value=4589","layer":4},{"info":"number node, value=1029","layer":4},{"info":"compute binary expreesion, left_input=4589, right_input=1029, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=7862","layer":3},{"info":"compute unary expreesion, input=7862, op_id = WmT3o8z6ya, unary_op_definition = 'a⋘⨑⨽ = { ((a⫡⨏a)+(a≋⫹)) , if (⊄⩳↩a)!=44 ; (⋗⩬⋾(394+a)) , else }', output=40093","layer":2},{"info":"number node, value=2502","layer":4},{"info":"number node, value=8157","layer":4},{"info":"compute binary expreesion, left_input=2502, right_input=8157, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=3032","layer":3},{"info":"number node, value=1976","layer":4},{"info":"number node, value=1992","layer":4},{"info":"compute binary expreesion, left_input=1976, right_input=1992, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3032, right_input=nan, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=40093, right_input=nan, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-447, right_input=nan, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=-447","layer":0}],"base":7,"result_base":7,"text":"(⇈(∜⨇(≴∭⊉14265⫒⫫≴∭⊉3001)))∪⫐((≴∭⊉16244⋳⪒≴∭⊉3000)⋘⨑⨽)⊋(≴∭⊉10203⩵∡≴∭⊉32532⫃⨇≴∭⊉5522∥⊢⊲≴∭⊉5544)=≴∭⊉-1206","reverse_text":"≴∭⊉-1206=(⇈(∜⨇(≴∭⊉14265⫒⫫≴∭⊉3001)))∪⫐((≴∭⊉16244⋳⪒≴∭⊉3000)⋘⨑⨽)⊋(≴∭⊉10203⩵∡≴∭⊉32532⫃⨇≴∭⊉5522∥⊢⊲≴∭⊉5544)","cot":[{"info":"≴∭⊉14265⫒⫫≴∭⊉3001=NaN","layer":3},{"info":"∜⨇NaN=NaN","layer":2},{"info":"⇈NaN=≴∭⊉-1206","layer":1},{"info":"≴∭⊉16244⋳⪒≴∭⊉3000=≴∭⊉31631","layer":3},{"info":"≴∭⊉31631⋘⨑⨽=≴∭⊉224614","layer":2},{"info":"≴∭⊉10203⩵∡≴∭⊉32532=≴∭⊉11561","layer":3},{"info":"≴∭⊉5522∥⊢⊲≴∭⊉5544=NaN","layer":3},{"info":"≴∭⊉11561⫃⨇NaN=NaN","layer":2},{"info":"≴∭⊉224614⊋NaN=NaN","layer":1},{"info":"≴∭⊉-1206∪⫐NaN=≴∭⊉-1206","layer":0}]}
+{"id":349,"expression_no_base_symbol":"(($1046$⊉≛↸$3597$)⫘(↯⪼$1922$)⊲⩕⊾((⨑⩽⪐$1576$)∀⇚≩$1451$↓$5959$))≁↽≥((⊗(⪁⇼$6635$))≨(($1211$↬⩅∪)⩌⋺$2201$≎⪠$2592$))","expression":"((≴∭⊉3023⊉≛↸≴∭⊉13326)⫘(↯⪼≴∭⊉5414)⊲⩕⊾((⨑⩽⪐≴∭⊉4411)∀⇚≩≴∭⊉4142↓≴∭⊉23242))≁↽≥((⊗(⪁⇼≴∭⊉25226))≨((≴∭⊉3350↬⩅∪)⩌⋺≴∭⊉6263≎⪠≴∭⊉10362))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":120173,"operation_count":14,"complexity_ratio":8583.785714285714,"tree":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1046,"base":7},"right_expr":{"type":"numeric_atoms","value":3597,"base":7}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1922,"base":7}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1576,"base":7}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":1451,"base":7},"right_expr":{"type":"numeric_atoms","value":5959,"base":7}}}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"numeric_atoms","value":6635,"base":7}}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"unary","operator":"↬⩅∪","unary_expr":{"type":"numeric_atoms","value":1211,"base":7}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":2201,"base":7},"right_expr":{"type":"numeric_atoms","value":2592,"base":7}}}}},"used_operators":["ncHt1X6cMc","DmTXOeWf9t","48vC8HMD2b","DZ8iAZOCBD","8jW3W4yZS5","LRNGc0VcxI","AF7qkfDlqP","Af076pWI7l","0KMCeP1Jsh","RhiyfpczSx","ZNVVrZ94lY","g7Hmc5v1ko","VJ330n2nnx","aNhz54LH3e"],"dependent_operators":["oWn0xqSxBt","3Oe9XWJUTD","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","D4vGDi5EA2","23Mk6UjR3U","u6S6b8DprG","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1046","layer":4},{"info":"number node, value=3597","layer":4},{"info":"compute binary expreesion, left_input=1046, right_input=3597, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2092","layer":3},{"info":"number node, value=1922","layer":4},{"info":"compute unary expreesion, input=1922, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"compute binary expreesion, left_input=2092, right_input=-21, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=2464597","layer":2},{"info":"number node, value=1576","layer":4},{"info":"compute unary expreesion, input=1576, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1303","layer":3},{"info":"number node, value=1451","layer":4},{"info":"number node, value=5959","layer":4},{"info":"compute binary expreesion, left_input=1451, right_input=5959, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=-1303, right_input=-134, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=2464597, right_input=nan, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=nan","layer":1},{"info":"number node, value=6635","layer":4},{"info":"compute unary expreesion, input=6635, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":3},{"info":"compute unary expreesion, input=422, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-844","layer":2},{"info":"number node, value=1211","layer":4},{"info":"compute unary expreesion, input=1211, op_id = VJ330n2nnx, unary_op_definition = 'a↬⩅∪ = { (a≦≮≮) , if (↽≂a)!=185 or a>=376 or a<=585 ; (a⋷a) , else }', output=-3633","layer":3},{"info":"number node, value=2201","layer":4},{"info":"number node, value=2592","layer":4},{"info":"compute binary expreesion, left_input=2201, right_input=2592, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"compute binary expreesion, left_input=-3633, right_input=19558, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-16046","layer":2},{"info":"compute binary expreesion, left_input=-844, right_input=-16046, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=2344","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2344, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉3023⊉≛↸≴∭⊉13326)⫘(↯⪼≴∭⊉5414)⊲⩕⊾((⨑⩽⪐≴∭⊉4411)∀⇚≩≴∭⊉4142↓≴∭⊉23242))≁↽≥((⊗(⪁⇼≴∭⊉25226))≨((≴∭⊉3350↬⩅∪)⩌⋺≴∭⊉6263≎⪠≴∭⊉10362))=NaN","reverse_text":"NaN=((≴∭⊉3023⊉≛↸≴∭⊉13326)⫘(↯⪼≴∭⊉5414)⊲⩕⊾((⨑⩽⪐≴∭⊉4411)∀⇚≩≴∭⊉4142↓≴∭⊉23242))≁↽≥((⊗(⪁⇼≴∭⊉25226))≨((≴∭⊉3350↬⩅∪)⩌⋺≴∭⊉6263≎⪠≴∭⊉10362))","cot":[{"info":"≴∭⊉3023⊉≛↸≴∭⊉13326=≴∭⊉6046","layer":3},{"info":"↯⪼≴∭⊉5414=≴∭⊉-30","layer":3},{"info":"≴∭⊉6046⫘≴∭⊉-30=≴∭⊉26643262","layer":2},{"info":"⨑⩽⪐≴∭⊉4411=≴∭⊉-3541","layer":3},{"info":"≴∭⊉4142↓≴∭⊉23242=≴∭⊉-251","layer":3},{"info":"≴∭⊉-3541∀⇚≩≴∭⊉-251=NaN","layer":2},{"info":"≴∭⊉26643262⊲⩕⊾NaN=NaN","layer":1},{"info":"⪁⇼≴∭⊉25226=≴∭⊉1142","layer":3},{"info":"⊗≴∭⊉1142=≴∭⊉-2314","layer":2},{"info":"≴∭⊉3350↬⩅∪=≴∭⊉-13410","layer":3},{"info":"≴∭⊉6263≎⪠≴∭⊉10362=≴∭⊉111010","layer":3},{"info":"≴∭⊉-13410⩌⋺≴∭⊉111010=≴∭⊉-64532","layer":2},{"info":"≴∭⊉-2314≨≴∭⊉-64532=≴∭⊉6556","layer":1},{"info":"NaN≁↽≥≴∭⊉6556=NaN","layer":0}]}
+{"id":350,"expression_no_base_symbol":"($3284$⪔$2570$⊉≛↸$4509$⩺⪪$2204$⫌⩉⩟(≋(≀↧⇸$1174$)))⪡(⇵⪽($1043$⋝⋈⪟$1217$))⩍⋽⫝̸(⋠∜(≸≮$1241$))","expression":"(≴∭⊉12401⪔≴∭⊉10331⊉≛↸≴∭⊉16101⩺⪪≴∭⊉6266⫌⩉⩟(≋(≀↧⇸≴∭⊉3265)))⪡(⇵⪽(≴∭⊉3020⋝⋈⪟≴∭⊉3356))⩍⋽⫝̸(⋠∜(≸≮≴∭⊉3422))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":25702,"operation_count":12,"complexity_ratio":2141.8333333333335,"tree":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":3284,"base":7},"right_expr":{"type":"numeric_atoms","value":2570,"base":7}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":4509,"base":7},"right_expr":{"type":"numeric_atoms","value":2204,"base":7}}},"right_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"numeric_atoms","value":1174,"base":7}}}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1043,"base":7},"right_expr":{"type":"numeric_atoms","value":1217,"base":7}}},"right_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"numeric_atoms","value":1241,"base":7}}}}},"used_operators":["oraRL2iQuh","XIIwhv8d0m","DZ8iAZOCBD","GjBEYRfMaF","uvdQJvN4PV","61wBmkZwlr","ljTHtUsqzn","BiWNJpBvwn","ZGCBLdVRRX","2DDjHMKMc0","ZJpFhNJr3x","AljMvE3RRm"],"dependent_operators":["2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","7j4O788W3g","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","xUOZtlo3hN","U7g4x0WXJJ","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb"],"result":"≴∭⊉-6141","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3284","layer":4},{"info":"number node, value=2570","layer":4},{"info":"compute binary expreesion, left_input=3284, right_input=2570, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"number node, value=4509","layer":4},{"info":"number node, value=2204","layer":4},{"info":"compute binary expreesion, left_input=4509, right_input=2204, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-37778","layer":3},{"info":"compute binary expreesion, left_input=450, right_input=-37778, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=900","layer":2},{"info":"number node, value=1174","layer":4},{"info":"compute unary expreesion, input=1174, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=2348","layer":3},{"info":"compute unary expreesion, input=2348, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=2348","layer":2},{"info":"compute binary expreesion, left_input=900, right_input=2348, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":1},{"info":"number node, value=1043","layer":4},{"info":"number node, value=1217","layer":4},{"info":"compute binary expreesion, left_input=1043, right_input=1217, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1043","layer":3},{"info":"compute unary expreesion, input=1043, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":2},{"info":"number node, value=1241","layer":4},{"info":"compute unary expreesion, input=1241, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=67","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=-276","layer":1},{"info":"compute binary expreesion, left_input=-50, right_input=-276, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=-2136","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉12401⪔≴∭⊉10331⊉≛↸≴∭⊉16101⩺⪪≴∭⊉6266⫌⩉⩟(≋(≀↧⇸≴∭⊉3265)))⪡(⇵⪽(≴∭⊉3020⋝⋈⪟≴∭⊉3356))⩍⋽⫝̸(⋠∜(≸≮≴∭⊉3422))=≴∭⊉-6141","reverse_text":"≴∭⊉-6141=(≴∭⊉12401⪔≴∭⊉10331⊉≛↸≴∭⊉16101⩺⪪≴∭⊉6266⫌⩉⩟(≋(≀↧⇸≴∭⊉3265)))⪡(⇵⪽(≴∭⊉3020⋝⋈⪟≴∭⊉3356))⩍⋽⫝̸(⋠∜(≸≮≴∭⊉3422))","cot":[{"info":"≴∭⊉12401⪔≴∭⊉10331=≴∭⊉1212","layer":3},{"info":"≴∭⊉16101⩺⪪≴∭⊉6266=≴∭⊉-215066","layer":3},{"info":"≴∭⊉1212⊉≛↸≴∭⊉-215066=≴∭⊉2424","layer":2},{"info":"≀↧⇸≴∭⊉3265=≴∭⊉6563","layer":3},{"info":"≋≴∭⊉6563=≴∭⊉6563","layer":2},{"info":"≴∭⊉2424⫌⩉⩟≴∭⊉6563=≴∭⊉-101","layer":1},{"info":"≴∭⊉3020⋝⋈⪟≴∭⊉3356=≴∭⊉3020","layer":3},{"info":"⇵⪽≴∭⊉3020=NaN","layer":2},{"info":"≸≮≴∭⊉3422=NaN","layer":3},{"info":"⋠∜NaN=≴∭⊉124","layer":2},{"info":"NaN⩍⋽⫝̸≴∭⊉124=≴∭⊉-543","layer":1},{"info":"≴∭⊉-101⪡≴∭⊉-543=≴∭⊉-6141","layer":0}]}
+{"id":351,"expression_no_base_symbol":"((∮$2709$)≎⊠⪸($1416$⫔⩽⩺$1167$)⊠≄⫣)⪚((⫵↿($1050$⊧↖))⪕(⊗($7411$∽$1375$)))","expression":"((∮≴∭⊉10620)≎⊠⪸(≴∭⊉4062⫔⩽⩺≴∭⊉3255)⊠≄⫣)⪚((⫵↿(≴∭⊉3030⊧↖))⪕(⊗(≴∭⊉30415∽≴∭⊉4003)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1540,"operation_count":10,"complexity_ratio":154.0,"tree":{"type":"binary","operator":"⪚","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"numeric_atoms","value":2709,"base":7}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":1416,"base":7},"right_expr":{"type":"numeric_atoms","value":1167,"base":7}}}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"unary","operator":"⊧↖","unary_expr":{"type":"numeric_atoms","value":1050,"base":7}}},"right_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":7411,"base":7},"right_expr":{"type":"numeric_atoms","value":1375,"base":7}}}}},"used_operators":["HrjLwUk87U","DIvbN7qnHd","bJkvcejdHO","CqXKPLVYql","i9eR4S00cU","umQnsF7QlU","ivGwdmUAux","EKiFHuOFxO","RhiyfpczSx","y4ImoPnbV5"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","Tw270M8GLb","fu6greOZ01","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","5twsqlHp2o","dfKe02y8D2","8HhzD0ZcuI","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","NTOWxs364D","QMFrweE19q"],"result":"≴∭⊉-501","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2709","layer":4},{"info":"compute unary expreesion, input=2709, op_id = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=67","layer":3},{"info":"number node, value=1416","layer":4},{"info":"number node, value=1167","layer":4},{"info":"compute binary expreesion, left_input=1416, right_input=1167, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":2},{"info":"compute unary expreesion, input=67, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":1},{"info":"number node, value=1050","layer":4},{"info":"compute unary expreesion, input=1050, op_id = EKiFHuOFxO, unary_op_definition = 'a⊧↖ = { ((a⨽a)⊢(a⫚↹⊑79)) }', output=6618428","layer":3},{"info":"compute unary expreesion, input=6618428, op_id = ivGwdmUAux, unary_op_definition = '⫵↿a = { ((a⫃⨇256)∽(a∀⇚≩66)) , if (⇨a)>=1 ; (↯⪼(a⨫⇇↔a)) , else }', output=137","layer":2},{"info":"number node, value=7411","layer":4},{"info":"number node, value=1375","layer":4},{"info":"compute binary expreesion, left_input=7411, right_input=1375, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-41002","layer":3},{"info":"compute unary expreesion, input=-41002, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=82004","layer":2},{"info":"compute binary expreesion, left_input=137, right_input=82004, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=-55","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-55, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-246","layer":0}],"base":7,"result_base":7,"text":"((∮≴∭⊉10620)≎⊠⪸(≴∭⊉4062⫔⩽⩺≴∭⊉3255)⊠≄⫣)⪚((⫵↿(≴∭⊉3030⊧↖))⪕(⊗(≴∭⊉30415∽≴∭⊉4003)))=≴∭⊉-501","reverse_text":"≴∭⊉-501=((∮≴∭⊉10620)≎⊠⪸(≴∭⊉4062⫔⩽⩺≴∭⊉3255)⊠≄⫣)⪚((⫵↿(≴∭⊉3030⊧↖))⪕(⊗(≴∭⊉30415∽≴∭⊉4003)))","cot":[{"info":"∮≴∭⊉10620=≴∭⊉124","layer":3},{"info":"≴∭⊉4062⫔⩽⩺≴∭⊉3255=NaN","layer":3},{"info":"≴∭⊉124≎⊠⪸NaN=≴∭⊉124","layer":2},{"info":"≴∭⊉124⊠≄⫣=≴∭⊉0","layer":1},{"info":"≴∭⊉3030⊧↖=≴∭⊉110153465","layer":3},{"info":"⫵↿≴∭⊉110153465=≴∭⊉254","layer":2},{"info":"≴∭⊉30415∽≴∭⊉4003=≴∭⊉-230353","layer":3},{"info":"⊗≴∭⊉-230353=≴∭⊉461036","layer":2},{"info":"≴∭⊉254⪕≴∭⊉461036=≴∭⊉-106","layer":1},{"info":"≴∭⊉0⪚≴∭⊉-106=≴∭⊉-501","layer":0}]}
+{"id":352,"expression_no_base_symbol":"($2356$⩣⫁∢$1968$)⪝($4033$⇻⋧≁$2040$)∓⋝(⫡⇟⇯(⨞⊢$2092$))⫦⪉(⩏⊷≩$1691$⨑⩅≇$5192$)⪡($5975$⩹$3318$)⨽∌$1181$⊕∕$2102$","expression":"(≴∭⊉6604⩣⫁∢≴∭⊉5511)⪝(≴∭⊉14521⇻⋧≁≴∭⊉5643)∓⋝(⫡⇟⇯(⨞⊢≴∭⊉6046))⫦⪉(⩏⊷≩≴∭⊉4634⨑⩅≇≴∭⊉21065)⪡(≴∭⊉23264⩹≴∭⊉12450)⨽∌≴∭⊉3305⊕∕≴∭⊉6062","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":9970,"operation_count":13,"complexity_ratio":766.9230769230769,"tree":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":2356,"base":7},"right_expr":{"type":"numeric_atoms","value":1968,"base":7}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":4033,"base":7},"right_expr":{"type":"numeric_atoms","value":2040,"base":7}}},"right_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":2092,"base":7}}}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":1691,"base":7},"right_expr":{"type":"numeric_atoms","value":5192,"base":7}}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":5975,"base":7},"right_expr":{"type":"numeric_atoms","value":3318,"base":7}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":1181,"base":7},"right_expr":{"type":"numeric_atoms","value":2102,"base":7}}}}},"used_operators":["wscyQdcy20","PoHhknlbAi","wicAB68Tmb","JDUIKTTSIa","jCPkEVoL5K","qWUSsah53b","xUOZtlo3hN","oraRL2iQuh","uOZ1tnYMDE","h92wMvzauj","9samAPKr6k","2Wsdkap16l","9cloC0Ngie"],"dependent_operators":["W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","DZ8iAZOCBD","P8v4zCKN1o","W4YGzv6Whe","t8gj7n24qd","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","23Mk6UjR3U","12rbrZMWeM","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf"],"result":"≴∭⊉16616","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2356","layer":4},{"info":"number node, value=1968","layer":4},{"info":"compute binary expreesion, left_input=2356, right_input=1968, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-4551","layer":3},{"info":"number node, value=4033","layer":4},{"info":"number node, value=2040","layer":4},{"info":"compute binary expreesion, left_input=4033, right_input=2040, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=-4551, right_input=-447, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-46131","layer":2},{"info":"number node, value=2092","layer":4},{"info":"compute unary expreesion, input=2092, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2266","layer":3},{"info":"compute unary expreesion, input=-2266, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=3134","layer":2},{"info":"compute binary expreesion, left_input=-46131, right_input=3134, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":1},{"info":"number node, value=1691","layer":4},{"info":"number node, value=5192","layer":4},{"info":"compute binary expreesion, left_input=1691, right_input=5192, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-5073","layer":3},{"info":"compute unary expreesion, input=-5073, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=20906","layer":2},{"info":"number node, value=5975","layer":4},{"info":"number node, value=3318","layer":4},{"info":"compute binary expreesion, left_input=5975, right_input=3318, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=3316","layer":3},{"info":"number node, value=1181","layer":4},{"info":"number node, value=2102","layer":4},{"info":"compute binary expreesion, left_input=1181, right_input=2102, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=1181","layer":3},{"info":"compute binary expreesion, left_input=3316, right_input=1181, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=20906, right_input=0, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=-1","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=-1, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=4766","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉6604⩣⫁∢≴∭⊉5511)⪝(≴∭⊉14521⇻⋧≁≴∭⊉5643)∓⋝(⫡⇟⇯(⨞⊢≴∭⊉6046))⫦⪉(⩏⊷≩≴∭⊉4634⨑⩅≇≴∭⊉21065)⪡(≴∭⊉23264⩹≴∭⊉12450)⨽∌≴∭⊉3305⊕∕≴∭⊉6062=≴∭⊉16616","reverse_text":"≴∭⊉16616=(≴∭⊉6604⩣⫁∢≴∭⊉5511)⪝(≴∭⊉14521⇻⋧≁≴∭⊉5643)∓⋝(⫡⇟⇯(⨞⊢≴∭⊉6046))⫦⪉(⩏⊷≩≴∭⊉4634⨑⩅≇≴∭⊉21065)⪡(≴∭⊉23264⩹≴∭⊉12450)⨽∌≴∭⊉3305⊕∕≴∭⊉6062","cot":[{"info":"≴∭⊉6604⩣⫁∢≴∭⊉5511=≴∭⊉-16161","layer":3},{"info":"≴∭⊉14521⇻⋧≁≴∭⊉5643=≴∭⊉-1206","layer":3},{"info":"≴∭⊉-16161⪝≴∭⊉-1206=≴∭⊉-251331","layer":2},{"info":"⨞⊢≴∭⊉6046=≴∭⊉-6415","layer":3},{"info":"⫡⇟⇯≴∭⊉-6415=≴∭⊉12065","layer":2},{"info":"≴∭⊉-251331∓⋝≴∭⊉12065=≴∭⊉124","layer":1},{"info":"≴∭⊉4634⨑⩅≇≴∭⊉21065=≴∭⊉-20535","layer":3},{"info":"⩏⊷≩≴∭⊉-20535=≴∭⊉114644","layer":2},{"info":"≴∭⊉23264⩹≴∭⊉12450=≴∭⊉12445","layer":3},{"info":"≴∭⊉3305⊕∕≴∭⊉6062=≴∭⊉3305","layer":3},{"info":"≴∭⊉12445⨽∌≴∭⊉3305=≴∭⊉0","layer":2},{"info":"≴∭⊉114644⪡≴∭⊉0=≴∭⊉-1","layer":1},{"info":"≴∭⊉124⫦⪉≴∭⊉-1=≴∭⊉16616","layer":0}]}
+{"id":353,"expression_no_base_symbol":"(-(≘($3839$⪘⫢$1040$)))≬⇓(($6707$∲⫓$1506$)⪉⨛($4074$⨕⋳))∌↝($8243$≝⊿$2866$)⊕∕($4496$*$4358$)","expression":"(-(≘(≴∭⊉14123⪘⫢≴∭⊉3014)))≬⇓((≴∭⊉25361∲⫓≴∭⊉4251)⪉⨛(≴∭⊉14610⨕⋳))∌↝(≴∭⊉33014≝⊿≴∭⊉11233)⊕∕(≴∭⊉16052*≴∭⊉15464)","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":49976950,"operation_count":11,"complexity_ratio":4543359.090909091,"tree":{"type":"binary","operator":"≬⇓","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3839,"base":7},"right_expr":{"type":"numeric_atoms","value":1040,"base":7}}}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":6707,"base":7},"right_expr":{"type":"numeric_atoms","value":1506,"base":7}},"right_expr":{"type":"unary","operator":"⨕⋳","unary_expr":{"type":"numeric_atoms","value":4074,"base":7}}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":8243,"base":7},"right_expr":{"type":"numeric_atoms","value":2866,"base":7}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":4496,"base":7},"right_expr":{"type":"numeric_atoms","value":4358,"base":7}}}}},"used_operators":["jWTQ2TZYIH","t8gj7n24qd","tcjXMdvYtA","oacrs7FA3X","9Isq31Ruls","EWw2JM7wp4","i8ToyICDmI","4X4GscPmMf","9cloC0Ngie","OKKcZfAt5B","9HNa5Wba9A"],"dependent_operators":["AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","W4YGzv6Whe","t8gj7n24qd","9bazX3JMtO","nhYeJWJD5X","DbCuESL50I","3EYGwJThht","w2P8NbNXyL","uFcxV4UQCh","bJkvcejdHO","BUOGQAYlQx","cTDWOvIxvz","hrf7POJlIJ","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","12rbrZMWeM","W4YGzv6Whe"],"result":"Inf","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3839","layer":4},{"info":"number node, value=1040","layer":4},{"info":"compute binary expreesion, left_input=3839, right_input=1040, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=7554","layer":3},{"info":"compute unary expreesion, input=7554, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=16657354","layer":2},{"info":"compute unary expreesion, input=16657354, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-16657354","layer":1},{"info":"number node, value=6707","layer":4},{"info":"number node, value=1506","layer":4},{"info":"compute binary expreesion, left_input=6707, right_input=1506, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=4074","layer":4},{"info":"compute unary expreesion, input=4074, op_id = 4X4GscPmMf, unary_op_definition = 'a⨕⋳ = { ((⋼∭⪍(a∴a))⊉↱≁(⋂(a↹⊜60))) , if (a∝72)!=68 ; (((a≎⊠⪸503)⇄(a∇⊂⋱a))⪛a) , else }', output=278140","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=278140, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=-834205","layer":2},{"info":"number node, value=8243","layer":4},{"info":"number node, value=2866","layer":4},{"info":"compute binary expreesion, left_input=8243, right_input=2866, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-14508","layer":3},{"info":"number node, value=4496","layer":4},{"info":"number node, value=4358","layer":4},{"info":"compute binary expreesion, left_input=4496, right_input=4358, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=19593568","layer":3},{"info":"compute binary expreesion, left_input=-14508, right_input=19593568, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=-14508","layer":2},{"info":"compute binary expreesion, left_input=-834205, right_input=-14508, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=-834205","layer":1},{"info":"compute binary expreesion, left_input=-16657354, right_input=-834205, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=inf","layer":0}],"base":7,"result_base":7,"text":"(-(≘(≴∭⊉14123⪘⫢≴∭⊉3014)))≬⇓((≴∭⊉25361∲⫓≴∭⊉4251)⪉⨛(≴∭⊉14610⨕⋳))∌↝(≴∭⊉33014≝⊿≴∭⊉11233)⊕∕(≴∭⊉16052*≴∭⊉15464)=Inf","reverse_text":"Inf=(-(≘(≴∭⊉14123⪘⫢≴∭⊉3014)))≬⇓((≴∭⊉25361∲⫓≴∭⊉4251)⪉⨛(≴∭⊉14610⨕⋳))∌↝(≴∭⊉33014≝⊿≴∭⊉11233)⊕∕(≴∭⊉16052*≴∭⊉15464)","cot":[{"info":"≴∭⊉14123⪘⫢≴∭⊉3014=≴∭⊉31011","layer":3},{"info":"≘≴∭⊉31011=≴∭⊉261404500","layer":2},{"info":"-≴∭⊉261404500=≴∭⊉-261404500","layer":1},{"info":"≴∭⊉25361∲⫓≴∭⊉4251=≴∭⊉0","layer":3},{"info":"≴∭⊉14610⨕⋳=≴∭⊉2235622","layer":3},{"info":"≴∭⊉0⪉⨛≴∭⊉2235622=≴∭⊉-10043041","layer":2},{"info":"≴∭⊉33014≝⊿≴∭⊉11233=≴∭⊉-60204","layer":3},{"info":"≴∭⊉16052*≴∭⊉15464=≴∭⊉325354051","layer":3},{"info":"≴∭⊉-60204⊕∕≴∭⊉325354051=≴∭⊉-60204","layer":2},{"info":"≴∭⊉-10043041∌↝≴∭⊉-60204=≴∭⊉-10043041","layer":1},{"info":"≴∭⊉-261404500≬⇓≴∭⊉-10043041=Inf","layer":0}]}
+{"id":354,"expression_no_base_symbol":"(($1085$⩒⫫$4881$)⊴($1030$⫥∨⫟$2757$))⪟⇏(($1008$⪡$1476$)⇣⩺⋵$1196$⨚⇆$6902$)↹⊜(($2084$⨔≚≋$6150$⨎($4808$⫌⩉⩟$1302$))⩷∴($4581$⇩)≁↽≥($2299$⨻⩈⩔$6723$))","expression":"((≴∭⊉3110⩒⫫≴∭⊉20142)⊴(≴∭⊉3001⫥∨⫟≴∭⊉11016))⪟⇏((≴∭⊉2640⪡≴∭⊉4206)⇣⩺⋵≴∭⊉3326⨚⇆≴∭⊉26060)↹⊜((≴∭⊉6035⨔≚≋≴∭⊉23634⨎(≴∭⊉20006⫌⩉⩟≴∭⊉3540))⩷∴(≴∭⊉16233⇩)≁↽≥(≴∭⊉6463⨻⩈⩔≴∭⊉25413))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":17689,"operation_count":15,"complexity_ratio":1179.2666666666667,"tree":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":1085,"base":7},"right_expr":{"type":"numeric_atoms","value":4881,"base":7}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1030,"base":7},"right_expr":{"type":"numeric_atoms","value":2757,"base":7}}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":1008,"base":7},"right_expr":{"type":"numeric_atoms","value":1476,"base":7}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":1196,"base":7},"right_expr":{"type":"numeric_atoms","value":6902,"base":7}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":2084,"base":7},"right_expr":{"type":"numeric_atoms","value":6150,"base":7}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":4808,"base":7},"right_expr":{"type":"numeric_atoms","value":1302,"base":7}}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"unary","operator":"⇩","unary_expr":{"type":"numeric_atoms","value":4581,"base":7}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":2299,"base":7},"right_expr":{"type":"numeric_atoms","value":6723,"base":7}}}}},"used_operators":["9bazX3JMtO","GODebY97qR","Nsiff2A1zJ","KFSx94NKJn","KYD54nUTWz","F4yD0voBRQ","oraRL2iQuh","lwHaAYXP2r","9FxExcQeMw","rJVOvQCfKK","Z57zeUYC9z","XIIwhv8d0m","ncHt1X6cMc","vRio1gEz1j","nEsXyWgiOK"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","dWAJyo7jo9","14qkJME0vr","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","8HhzD0ZcuI","rGHVDoGpnC","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","oWn0xqSxBt","3Oe9XWJUTD","W4YGzv6Whe","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG"],"result":"≴∭⊉13615352","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1085","layer":4},{"info":"number node, value=4881","layer":4},{"info":"compute binary expreesion, left_input=1085, right_input=4881, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=783","layer":3},{"info":"number node, value=1030","layer":4},{"info":"number node, value=2757","layer":4},{"info":"compute binary expreesion, left_input=1030, right_input=2757, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=783, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=1008","layer":4},{"info":"number node, value=1476","layer":4},{"info":"compute binary expreesion, left_input=1008, right_input=1476, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"number node, value=1196","layer":4},{"info":"number node, value=6902","layer":4},{"info":"compute binary expreesion, left_input=1196, right_input=6902, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=107, right_input=nan, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-260, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=0","layer":1},{"info":"number node, value=2084","layer":4},{"info":"number node, value=6150","layer":4},{"info":"compute binary expreesion, left_input=2084, right_input=6150, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"number node, value=4808","layer":4},{"info":"number node, value=1302","layer":4},{"info":"compute binary expreesion, left_input=4808, right_input=1302, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute binary expreesion, left_input=9872, right_input=-50, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-50","layer":2},{"info":"number node, value=4581","layer":4},{"info":"compute unary expreesion, input=4581, op_id = vRio1gEz1j, unary_op_definition = 'a⇩ = { (a+93) }', output=4674","layer":3},{"info":"number node, value=2299","layer":4},{"info":"number node, value=6723","layer":4},{"info":"compute binary expreesion, left_input=2299, right_input=6723, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=9991","layer":3},{"info":"compute binary expreesion, left_input=4674, right_input=9991, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=80042","layer":2},{"info":"compute binary expreesion, left_input=-50, right_input=80042, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-160216","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-160216, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=1281632","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉3110⩒⫫≴∭⊉20142)⊴(≴∭⊉3001⫥∨⫟≴∭⊉11016))⪟⇏((≴∭⊉2640⪡≴∭⊉4206)⇣⩺⋵≴∭⊉3326⨚⇆≴∭⊉26060)↹⊜((≴∭⊉6035⨔≚≋≴∭⊉23634⨎(≴∭⊉20006⫌⩉⩟≴∭⊉3540))⩷∴(≴∭⊉16233⇩)≁↽≥(≴∭⊉6463⨻⩈⩔≴∭⊉25413))=≴∭⊉13615352","reverse_text":"≴∭⊉13615352=((≴∭⊉3110⩒⫫≴∭⊉20142)⊴(≴∭⊉3001⫥∨⫟≴∭⊉11016))⪟⇏((≴∭⊉2640⪡≴∭⊉4206)⇣⩺⋵≴∭⊉3326⨚⇆≴∭⊉26060)↹⊜((≴∭⊉6035⨔≚≋≴∭⊉23634⨎(≴∭⊉20006⫌⩉⩟≴∭⊉3540))⩷∴(≴∭⊉16233⇩)≁↽≥(≴∭⊉6463⨻⩈⩔≴∭⊉25413))","cot":[{"info":"≴∭⊉3110⩒⫫≴∭⊉20142=≴∭⊉2166","layer":3},{"info":"≴∭⊉3001⫥∨⫟≴∭⊉11016=NaN","layer":3},{"info":"≴∭⊉2166⊴NaN=NaN","layer":2},{"info":"≴∭⊉2640⪡≴∭⊉4206=≴∭⊉212","layer":3},{"info":"≴∭⊉3326⨚⇆≴∭⊉26060=NaN","layer":3},{"info":"≴∭⊉212⇣⩺⋵NaN=≴∭⊉-521","layer":2},{"info":"NaN⪟⇏≴∭⊉-521=≴∭⊉0","layer":1},{"info":"≴∭⊉6035⨔≚≋≴∭⊉23634=≴∭⊉40532","layer":3},{"info":"≴∭⊉20006⫌⩉⩟≴∭⊉3540=≴∭⊉-101","layer":3},{"info":"≴∭⊉40532⨎≴∭⊉-101=≴∭⊉-101","layer":2},{"info":"≴∭⊉16233⇩=≴∭⊉16425","layer":3},{"info":"≴∭⊉6463⨻⩈⩔≴∭⊉25413=≴∭⊉41062","layer":3},{"info":"≴∭⊉16425≁↽≥≴∭⊉41062=≴∭⊉452234","layer":2},{"info":"≴∭⊉-101⩷∴≴∭⊉452234=≴∭⊉-1235050","layer":1},{"info":"≴∭⊉0↹⊜≴∭⊉-1235050=≴∭⊉13615352","layer":0}]}
+{"id":355,"expression_no_base_symbol":"((⨝⨆$1240$↼⊘⨖$1612$)≳⇉(⪹$4421$≁↽≥$3181$))⨑⩅≇(⊿($7278$⨴∎)⇷($5898$⫲⨊))","expression":"((⨝⨆≴∭⊉3421↼⊘⨖≴∭⊉4462)≳⇉(⪹≴∭⊉15614≁↽≥≴∭⊉12163))⨑⩅≇(⊿(≴∭⊉30135⨴∎)⇷(≴∭⊉23124⫲⨊))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":129129,"operation_count":10,"complexity_ratio":12912.9,"tree":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":1240,"base":7},"right_expr":{"type":"numeric_atoms","value":1612,"base":7}}},"right_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":4421,"base":7},"right_expr":{"type":"numeric_atoms","value":3181,"base":7}}}},"right_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⨴∎","unary_expr":{"type":"numeric_atoms","value":7278,"base":7}},"right_expr":{"type":"unary","operator":"⫲⨊","unary_expr":{"type":"numeric_atoms","value":5898,"base":7}}}}},"used_operators":["h92wMvzauj","V0kx6qeWkN","bQ67fsrMVf","bPywburJMS","USyYr0JgAa","ncHt1X6cMc","DO4fhlbJSI","mp7IySMOzn","CpSg5vQTgA","CArV6hThFE"],"dependent_operators":["s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","tifHPKVTfV","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","tifHPKVTfV","oWn0xqSxBt","3Oe9XWJUTD","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","Q3PJZHRvZv","s1XTVnmDOJ","VEQNXA0ZBg","WmT3o8z6ya","uFcxV4UQCh","2DDjHMKMc0","B3sABdIn96","X99M06cbEe"],"result":"≴∭⊉2504","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1240","layer":4},{"info":"number node, value=1612","layer":4},{"info":"compute binary expreesion, left_input=1240, right_input=1612, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=3002","layer":3},{"info":"compute unary expreesion, input=3002, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=2793","layer":2},{"info":"number node, value=4421","layer":4},{"info":"number node, value=3181","layer":4},{"info":"compute binary expreesion, left_input=4421, right_input=3181, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=60955","layer":3},{"info":"compute unary expreesion, input=60955, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=-60775","layer":2},{"info":"compute binary expreesion, left_input=2793, right_input=-60775, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":1},{"info":"number node, value=7278","layer":4},{"info":"compute unary expreesion, input=7278, op_id = CpSg5vQTgA, unary_op_definition = 'a⨴∎ = { (⊥a) , if (a≓∲156)<=233 or (a⪗)>744 ; a , else }', output=nan","layer":3},{"info":"number node, value=5898","layer":4},{"info":"compute unary expreesion, input=5898, op_id = CArV6hThFE, unary_op_definition = 'a⫲⨊ = { ((332≫≃)⪹) , if a==35 ; ((a⋘⨑⨽)⋝⋈⪟(a⪛290)) , else }', output=30273","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=30273, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=60546","layer":2},{"info":"compute unary expreesion, input=60546, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-242922","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-242922, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=935","layer":0}],"base":7,"result_base":7,"text":"((⨝⨆≴∭⊉3421↼⊘⨖≴∭⊉4462)≳⇉(⪹≴∭⊉15614≁↽≥≴∭⊉12163))⨑⩅≇(⊿(≴∭⊉30135⨴∎)���(≴∭⊉23124⫲⨊))=≴∭⊉2504","reverse_text":"≴∭⊉2504=((⨝⨆≴∭⊉3421↼⊘⨖≴∭⊉4462)≳⇉(⪹≴∭⊉15614≁↽≥≴∭⊉12163))⨑⩅≇(⊿(≴∭⊉30135⨴∎)⇷(≴∭⊉23124⫲⨊))","cot":[{"info":"≴∭⊉3421↼⊘⨖≴∭⊉4462=≴∭⊉11516","layer":3},{"info":"⨝⨆≴∭⊉11516=≴∭⊉11100","layer":2},{"info":"≴∭⊉15614≁↽≥≴∭⊉12163=≴∭⊉342466","layer":3},{"info":"⪹≴∭⊉342466=≴∭⊉-342121","layer":2},{"info":"≴∭⊉11100≳⇉≴∭⊉-342121=NaN","layer":1},{"info":"≴∭⊉30135⨴∎=NaN","layer":3},{"info":"≴∭⊉23124⫲⨊=≴∭⊉154155","layer":3},{"info":"NaN⇷≴∭⊉154155=≴∭⊉341343","layer":2},{"info":"⊿≴∭⊉341343=≴∭⊉-2031141","layer":1},{"info":"NaN⨑⩅≇≴∭⊉-2031141=≴∭⊉2504","layer":0}]}
+{"id":356,"expression_no_base_symbol":"∐⩳⋚((⪓⩚$6042$)⊕∕(↯⪼$1797$)⋓$2121$⨽∌$5908$∘(⨴⫝$1895$))","expression":"∐⩳⋚((⪓⩚≴∭⊉23421)⊕∕(↯⪼≴∭⊉5145)⋓≴∭⊉6120⨽∌≴∭⊉23140∘(⨴⫝≴∭⊉5345))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5425,"operation_count":8,"complexity_ratio":678.125,"tree":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"numeric_atoms","value":6042,"base":7}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1797,"base":7}}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":2121,"base":7},"right_expr":{"type":"numeric_atoms","value":5908,"base":7}},"right_expr":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"numeric_atoms","value":1895,"base":7}}}}},"used_operators":["SL6IHkK8vl","T2fj7uvVaJ","9cloC0Ngie","u0R0Locfp2","8jW3W4yZS5","Z5m6OM72h2","9samAPKr6k","SVb2v531z1"],"dependent_operators":["s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","eH2TOUuTDT","rysDP5nf3Z","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf"],"result":"≴∭⊉-143512","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6042","layer":4},{"info":"compute unary expreesion, input=6042, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":3},{"info":"number node, value=1797","layer":4},{"info":"compute unary expreesion, input=1797, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"compute binary expreesion, left_input=426, right_input=-21, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=426","layer":2},{"info":"number node, value=2121","layer":4},{"info":"number node, value=5908","layer":4},{"info":"compute binary expreesion, left_input=2121, right_input=5908, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"number node, value=1895","layer":4},{"info":"compute unary expreesion, input=1895, op_id = SVb2v531z1, unary_op_definition = '⨴⫝a = { ((⪨⨬(⇋↷a))≬⇓((a⋅⇍a)⨑≵⋬(∡178))) , if (a⪇≇⋚963)!=62 ; (((541⋛107)⩼⇪↪(⪭⩑⪱a))⋻⩜⩜((a⊕∕a)∼(459⨽6))) , else }', output=2828198","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2828198, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=426, right_input=0, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=-27694","layer":0}],"base":7,"result_base":7,"text":"∐⩳⋚((⪓⩚≴∭⊉23421)⊕∕(↯⪼≴∭⊉5145)⋓≴∭⊉6120⨽∌≴∭⊉23140∘(⨴⫝≴∭⊉5345))=≴∭⊉-143512","reverse_text":"≴∭��-143512=∐⩳⋚((⪓⩚≴∭⊉23421)⊕∕(↯⪼≴∭⊉5145)⋓≴∭⊉6120⨽∌≴∭⊉23140∘(⨴⫝≴∭⊉5345))","cot":[{"info":"⪓⩚≴∭⊉23421=≴∭⊉1146","layer":3},{"info":"↯⪼≴∭⊉5145=≴∭⊉-30","layer":3},{"info":"≴∭⊉1146⊕∕≴∭⊉-30=≴∭⊉1146","layer":2},{"info":"≴∭⊉6120⨽∌≴∭⊉23140=≴∭⊉0","layer":3},{"info":"⨴⫝≴∭⊉5345=≴∭⊉33016322","layer":3},{"info":"≴∭⊉0∘≴∭⊉33016322=≴∭⊉0","layer":2},{"info":"≴∭⊉1146⋓≴∭⊉0=≴∭⊉0","layer":1},{"info":"∐⩳⋚≴∭⊉0=≴∭⊉-143512","layer":0}]}
+{"id":357,"expression_no_base_symbol":"(∑⇻≧($3330$⇌⫙⪟$8205$)∇⊂⋱$4491$⩣⫁∢$1405$)∲⫓($3298$⋛$1983$⨪↰⇹$3776$⨑⩅≇$2276$)↞⋁($1140$⪒⊣⊆$5745$⪉⨛($9369$∟))","expression":"(∑⇻≧(≴∭⊉12465⇌⫙⪟≴∭⊉32631)∇⊂⋱≴∭⊉16044⩣⫁∢≴∭⊉4045)∲⫓(≴∭⊉12421⋛≴∭⊉5532⨪↰⇹≴∭⊉14003⨑⩅≇≴∭⊉6431)↞⋁(≴∭⊉3216⪒⊣⊆≴∭⊉22515⪉⨛(≴∭⊉36213∟))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":105393,"operation_count":12,"complexity_ratio":8782.75,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":3330,"base":7},"right_expr":{"type":"numeric_atoms","value":8205,"base":7}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":4491,"base":7},"right_expr":{"type":"numeric_atoms","value":1405,"base":7}}}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":3298,"base":7},"right_expr":{"type":"numeric_atoms","value":1983,"base":7}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":3776,"base":7},"right_expr":{"type":"numeric_atoms","value":2276,"base":7}}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":1140,"base":7},"right_expr":{"type":"numeric_atoms","value":5745,"base":7}},"right_expr":{"type":"unary","operator":"∟","unary_expr":{"type":"numeric_atoms","value":9369,"base":7}}}}},"used_operators":["i8ToyICDmI","l1M9WJ3V7u","nhYeJWJD5X","AFVx7xoS7T","JDUIKTTSIa","RqrPlJkxDo","tmPS8pqC7x","YbUVn0Rbpy","h92wMvzauj","EWw2JM7wp4","eRqsBgTDFp","hTbEZDJLEm"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","rJVOvQCfKK","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","sdazOOVcIp","W4YGzv6Whe","KPf6cnQVty","zVYPLywUTj","AFVx7xoS7T"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3330","layer":4},{"info":"number node, value=8205","layer":4},{"info":"compute binary expreesion, left_input=3330, right_input=8205, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"number node, value=4491","layer":4},{"info":"number node, value=1405","layer":4},{"info":"compute binary expreesion, left_input=4491, right_input=1405, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-8821","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=-8821, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=17642","layer":2},{"info":"compute unary expreesion, input=17642, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":1},{"info":"number node, value=3298","layer":4},{"info":"number node, value=1983","layer":4},{"info":"compute binary expreesion, left_input=3298, right_input=1983, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-102510","layer":3},{"info":"number node, value=3776","layer":4},{"info":"number node, value=2276","layer":4},{"info":"compute binary expreesion, left_input=3776, right_input=2276, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-11328","layer":3},{"info":"compute binary expreesion, left_input=-102510, right_input=-11328, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=-102510","layer":2},{"info":"number node, value=1140","layer":4},{"info":"number node, value=5745","layer":4},{"info":"compute binary expreesion, left_input=1140, right_input=5745, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=2280","layer":3},{"info":"number node, value=9369","layer":4},{"info":"compute unary expreesion, input=9369, op_id = hTbEZDJLEm, unary_op_definition = 'a∟ = { ((58∺≝⩲a)⇌⫙⪟(a⊪)) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=2280, right_input=113, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=6942","layer":2},{"info":"compute binary expreesion, left_input=-102510, right_input=6942, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-852, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(∑⇻≧(≴∭⊉12465⇌⫙⪟≴∭⊉32631)∇⊂⋱≴∭⊉16044⩣⫁∢≴∭⊉4045)∲⫓(≴∭⊉12421⋛≴∭⊉5532⨪↰⇹≴∭⊉14003⨑⩅≇≴∭⊉6431)↞⋁(≴∭⊉3216⪒⊣⊆≴∭⊉22515⪉⨛(≴∭⊉36213∟))=NaN","reverse_text":"NaN=(∑⇻≧(≴∭⊉12465⇌⫙⪟≴∭⊉32631)∇⊂⋱≴∭⊉16044⩣⫁∢≴∭⊉4045)∲⫓(≴∭⊉12421⋛≴∭⊉5532⨪↰⇹≴∭⊉14003⨑⩅≇≴∭⊉6431)↞⋁(≴∭⊉3216⪒⊣⊆≴∭⊉22515⪉⨛(≴∭⊉36213∟))","cot":[{"info":"≴∭⊉12465⇌⫙⪟≴∭⊉32631=≴∭⊉221","layer":3},{"info":"≴∭⊉16044⩣⫁∢≴∭⊉4045=≴∭⊉-34501","layer":3},{"info":"≴∭⊉221∇⊂⋱≴∭⊉-34501=≴∭⊉102302","layer":2},{"info":"∑⇻≧≴∭⊉102302=≴∭⊉-2325","layer":1},{"info":"≴∭⊉12421⋛≴∭⊉5532=≴∭⊉-604602","layer":3},{"info":"≴∭⊉14003⨑⩅≇≴∭⊉6431=≴∭⊉-45012","layer":3},{"info":"≴∭⊉-604602⨪↰⇹≴∭⊉-45012=≴∭⊉-604602","layer":2},{"info":"≴∭⊉3216⪒⊣⊆≴∭⊉22515=≴∭⊉6435","layer":3},{"info":"≴∭⊉36213∟=≴∭⊉221","layer":3},{"info":"≴∭⊉6435⪉⨛≴∭⊉221=≴∭⊉26145","layer":2},{"info":"≴∭⊉-604602↞⋁≴∭⊉26145=NaN","layer":1},{"info":"≴∭⊉-2325∲⫓NaN=NaN","layer":0}]}
+{"id":358,"expression_no_base_symbol":"((⋎⨆(⊄⩳↩$4389$))≃($2783$≳⇉$5099$↙$2169$⩘$3816$))⨥⫆(⨩∲⋌($1165$∇⊂⋱$2055$))≎⪠(($4284$⪛$3815$)⨟⋌⩍($2911$⋻⩜⩜$6599$))","expression":"((⋎⨆(⊄⩳↩≴∭⊉15540))≃(≴∭⊉11054≳⇉≴∭⊉20603↙≴∭⊉6216⩘≴∭⊉14061))⨥⫆(⨩∲⋌(≴∭⊉3253∇⊂⋱≴∭⊉5664))≎⪠((≴∭⊉15330⪛≴∭⊉14060)⨟⋌⩍(≴∭⊉11326⋻⩜⩜≴∭⊉25145))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":360481310,"operation_count":13,"complexity_ratio":27729331.53846154,"tree":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":4389,"base":7}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":2783,"base":7},"right_expr":{"type":"numeric_atoms","value":5099,"base":7}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":2169,"base":7},"right_expr":{"type":"numeric_atoms","value":3816,"base":7}}}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":1165,"base":7},"right_expr":{"type":"numeric_atoms","value":2055,"base":7}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":4284,"base":7},"right_expr":{"type":"numeric_atoms","value":3815,"base":7}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":2911,"base":7},"right_expr":{"type":"numeric_atoms","value":6599,"base":7}}}}},"used_operators":["yXekIHxTD4","YbVcJGFEVW","E64sFOc4tB","8w2t5hMYqp","yyfyN0ffXY","V0kx6qeWkN","cHh1gJQ2o6","aNhz54LH3e","aSik1wnThz","nhYeJWJD5X","rGHVDoGpnC","uFcxV4UQCh","oDCm7WA9JY"],"dependent_operators":["eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","Tcnh7f0tEr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4389","layer":4},{"info":"compute unary expreesion, input=4389, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-13167","layer":3},{"info":"compute unary expreesion, input=-13167, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=8320752","layer":2},{"info":"number node, value=2783","layer":4},{"info":"number node, value=5099","layer":4},{"info":"compute binary expreesion, left_input=2783, right_input=5099, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"number node, value=2169","layer":4},{"info":"number node, value=3816","layer":4},{"info":"compute binary expreesion, left_input=2169, right_input=3816, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=8320752, right_input=nan, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=69","layer":1},{"info":"number node, value=1165","layer":4},{"info":"number node, value=2055","layer":4},{"info":"compute binary expreesion, left_input=1165, right_input=2055, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=1784","layer":3},{"info":"compute unary expreesion, input=1784, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-2307","layer":2},{"info":"number node, value=4284","layer":4},{"info":"number node, value=3815","layer":4},{"info":"compute binary expreesion, left_input=4284, right_input=3815, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=469","layer":3},{"info":"number node, value=2911","layer":4},{"info":"number node, value=6599","layer":4},{"info":"compute binary expreesion, left_input=2911, right_input=6599, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=5822","layer":3},{"info":"compute binary expreesion, left_input=469, right_input=5822, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-2307, right_input=nan, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":1},{"info":"compute binary expreesion, left_input=69, right_input=19558, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=0","layer":0}],"base":7,"result_base":7,"text":"((⋎⨆(⊄⩳↩≴∭⊉15540))≃(≴∭⊉11054≳⇉≴∭⊉20603↙≴∭⊉6216⩘≴∭⊉14061))⨥⫆(⨩∲⋌(≴∭⊉3253∇⊂⋱≴∭⊉5664))≎⪠((≴∭⊉15330⪛≴∭⊉14060)⨟⋌⩍(≴∭⊉11326⋻⩜⩜≴∭⊉25145))=≴∭⊉0","reverse_text":"≴∭⊉0=((⋎⨆(⊄⩳↩≴∭⊉15540))≃(≴∭⊉11054≳⇉≴∭⊉20603↙≴∭⊉6216⩘≴∭⊉14061))⨥⫆(⨩∲⋌(≴∭⊉3253∇⊂⋱≴∭⊉5664))≎⪠((≴∭⊉15330⪛≴∭⊉14060)⨟⋌⩍(≴∭⊉11326⋻⩜⩜≴∭⊉25145))","cot":[{"info":"⊄⩳↩≴∭⊉15540=≴∭⊉-53250","layer":3},{"info":"⋎⨆≴∭⊉-53250=≴∭⊉130503516","layer":2},{"info":"≴∭⊉11054≳⇉≴∭⊉20603=NaN","layer":3},{"info":"≴∭⊉6216⩘≴∭⊉14061=≴∭⊉316","layer":3},{"info":"NaN↙≴∭⊉316=NaN","layer":2},{"info":"≴∭⊉130503516≃NaN=≴∭⊉126","layer":1},{"info":"≴∭⊉3253∇⊂⋱≴∭⊉5664=≴∭⊉5126","layer":3},{"info":"⨩∲⋌≴∭⊉5126=≴∭⊉-6504","layer":2},{"info":"≴∭⊉15330⪛≴∭⊉14060=≴∭⊉1240","layer":3},{"info":"≴∭⊉11326⋻⩜⩜≴∭⊉25145=≴∭⊉22655","layer":3},{"info":"≴∭⊉1240⨟⋌⩍≴∭⊉22655=NaN","layer":2},{"info":"≴∭⊉-6504≎⪠NaN=≴∭⊉111010","layer":1},{"info":"≴∭⊉126⨥⫆≴∭⊉111010=≴∭⊉0","layer":0}]}
+{"id":359,"expression_no_base_symbol":"((⪲⇎$2381$)⫣⪄⊒($2349$⊉↱≁$1432$)⪥(($2732$⩭)⪭≯$4902$⩣⫁∢$1751$))⫠","expression":"((⪲⇎≴∭⊉6641)⫣⪄⊒(≴∭⊉6564⊉↱≁≴∭⊉4114)⪥((≴∭⊉10652⩭)⪭≯≴∭⊉20202⩣⫁∢≴∭⊉5051))⫠","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":25900,"operation_count":8,"complexity_ratio":3237.5,"tree":{"type":"unary","operator":"⫠","unary_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":2381,"base":7}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":2349,"base":7},"right_expr":{"type":"numeric_atoms","value":1432,"base":7}}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"unary","operator":"⩭","unary_expr":{"type":"numeric_atoms","value":2732,"base":7}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":4902,"base":7},"right_expr":{"type":"numeric_atoms","value":1751,"base":7}}}}},"used_operators":["6SnOT2rOjz","QbnwKVWMIQ","RabNbG55vr","XPYlsWDdGa","w2P8NbNXyL","XAx5wpdLa6","yIPP7u6H5x","JDUIKTTSIa"],"dependent_operators":["Bmrmz2XGnR","tmPS8pqC7x","mp7IySMOzn","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","nOKPl9n5zu","SUmda5xLS4","9HNa5Wba9A","fu6greOZ01","3tVxb0NHM4","GjBEYRfMaF","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2381","layer":4},{"info":"compute unary expreesion, input=2381, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=4762","layer":3},{"info":"number node, value=2349","layer":4},{"info":"number node, value=1432","layer":4},{"info":"compute binary expreesion, left_input=2349, right_input=1432, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=14846","layer":3},{"info":"compute binary expreesion, left_input=4762, right_input=14846, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-80064","layer":2},{"info":"number node, value=2732","layer":4},{"info":"compute unary expreesion, input=2732, op_id = yIPP7u6H5x, unary_op_definition = 'a⩭ = { (((a⨐⩸⫘a)⪎↠(696*a))⪔(224⪄(⋗⩴⪓a))) }', output=nan","layer":3},{"info":"number node, value=4902","layer":4},{"info":"number node, value=1751","layer":4},{"info":"compute binary expreesion, left_input=4902, right_input=1751, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-9643","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-9643, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-80064, right_input=nan, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=-633668","layer":1},{"info":"compute unary expreesion, input=-633668, op_id = 6SnOT2rOjz, unary_op_definition = 'a⫠ = { ((a⇷0)⨪↰⇹(a≚⊃≕a)) }', output=0","layer":0}],"base":7,"result_base":7,"text":"((⪲⇎≴∭⊉6641)⫣⪄⊒(≴∭⊉6564⊉↱≁≴∭⊉4114)⪥((≴∭⊉10652⩭)⪭≯≴∭⊉20202⩣⫁∢≴∭⊉5051))⫠=≴∭⊉0","reverse_text":"≴∭⊉0=((⪲⇎≴∭⊉6641)⫣⪄⊒(≴∭⊉6564⊉↱≁≴∭⊉4114)⪥((≴∭⊉10652⩭)⪭≯≴∭⊉20202⩣⫁∢≴∭⊉5051))⫠","cot":[{"info":"⪲⇎≴∭⊉6641=≴∭⊉16612","layer":3},{"info":"≴∭⊉6564⊉↱≁≴∭⊉4114=≴∭⊉61166","layer":3},{"info":"≴∭⊉16612⫣⪄⊒≴∭⊉61166=≴∭⊉-452265","layer":2},{"info":"≴∭⊉10652⩭=NaN","layer":3},{"info":"≴∭⊉20202⩣⫁∢≴∭⊉5051=≴∭⊉-40054","layer":3},{"info":"NaN⪭≯≴∭⊉-40054=NaN","layer":2},{"info":"≴∭⊉-452265⪥NaN=≴∭⊉-5246300","layer":1},{"info":"≴∭⊉-5246300⫠=≴∭⊉0","layer":0}]}
+{"id":360,"expression_no_base_symbol":"((⊆⋠$1621$)⋳⪒($1363$⊜))⪒⊣⊆(⊙↵-($1275$⩵∡$3828$))⊿∆","expression":"((⊆⋠≴∭⊉4504)⋳⪒(≴∭⊉3655⊜))⪒⊣⊆(⊙↵-(≴∭⊉3501⩵∡≴∭⊉14106))⊿∆","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1259,"operation_count":7,"complexity_ratio":179.85714285714286,"tree":{"type":"unary","operator":"⊿∆","unary_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"numeric_atoms","value":1621,"base":7}},"right_expr":{"type":"unary","operator":"⊜","unary_expr":{"type":"numeric_atoms","value":1363,"base":7}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":1275,"base":7},"right_expr":{"type":"numeric_atoms","value":3828,"base":7}}}}},"used_operators":["fv3ZujxkQL","eRqsBgTDFp","12rbrZMWeM","EBhcHTkKd8","Eev2Q7dYIw","oWn0xqSxBt","Y7wcNGrDQJ"],"dependent_operators":["NTOWxs364D","sdazOOVcIp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","g55IO6H4Gj","D4vGDi5EA2","P8v4zCKN1o","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","NTOWxs364D","glklzrTFfD","tifHPKVTfV"],"result":"≴∭⊉-55225","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1621","layer":4},{"info":"compute unary expreesion, input=1621, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=0","layer":3},{"info":"number node, value=1363","layer":4},{"info":"compute unary expreesion, input=1363, op_id = Eev2Q7dYIw, unary_op_definition = 'a⊜ = { ((a≦≮≮)⨸⪁(∥⊫a)) }', output=-3716","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-3716, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=3429","layer":2},{"info":"number node, value=1275","layer":4},{"info":"number node, value=3828","layer":4},{"info":"compute binary expreesion, left_input=1275, right_input=3828, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=1157","layer":3},{"info":"compute unary expreesion, input=1157, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":2},{"info":"compute binary expreesion, left_input=3429, right_input=-1, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=6858","layer":1},{"info":"compute unary expreesion, input=6858, op_id = fv3ZujxkQL, unary_op_definition = 'a⊿∆ = { (a⩚⊴⇥a) }', output=-13837","layer":0}],"base":7,"result_base":7,"text":"((⊆⋠≴∭⊉4504)⋳⪒(≴∭⊉3655⊜))⪒⊣⊆(⊙↵-(≴∭⊉3501⩵∡≴∭⊉14106))⊿∆=≴∭⊉-55225","reverse_text":"≴∭⊉-55225=((⊆⋠≴∭⊉4504)⋳⪒(≴∭⊉3655⊜))⪒⊣⊆(⊙↵-(≴∭⊉3501⩵∡≴∭⊉14106))⊿∆","cot":[{"info":"⊆⋠≴∭⊉4504=≴∭⊉0","layer":3},{"info":"≴∭⊉3655⊜=≴∭⊉-13556","layer":3},{"info":"≴∭⊉0⋳⪒≴∭⊉-13556=≴∭⊉12666","layer":2},{"info":"≴∭⊉3501⩵∡≴∭⊉14106=≴∭⊉3242","layer":3},{"info":"⊙↵-≴∭⊉3242=≴∭⊉-1","layer":2},{"info":"≴∭⊉12666⪒⊣⊆≴∭⊉-1=≴∭⊉25665","layer":1},{"info":"≴∭⊉25665⊿∆=≴∭⊉-55225","layer":0}]}
+{"id":361,"expression_no_base_symbol":"(($5532$⫑)⨚⇆($4681$⇉⇱⇎)⩧⪆(⨈⫕($1163$⪷)))⩼⇪↪(($1445$⩘)⪉⨛$4293$⊹∫⫚$1808$)⨂≜($5949$⪇≇⋚$1093$⋷$4564$⨻⩈⩔$1457$)","expression":"((≴∭⊉22062⫑)⨚⇆(≴∭⊉16435⇉⇱⇎)⩧⪆(⨈⫕(≴∭⊉3251⪷)))⩼⇪↪((≴∭⊉4133⩘)⪉⨛≴∭⊉15342⊹∫⫚≴∭⊉5162)⨂≜(≴∭⊉23226⪇≇⋚≴∭⊉3121⋷≴∭⊉16210⨻⩈⩔≴∭⊉4151)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":31173,"operation_count":14,"complexity_ratio":2226.6428571428573,"tree":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"unary","operator":"⫑","unary_expr":{"type":"numeric_atoms","value":5532,"base":7}},"right_expr":{"type":"unary","operator":"⇉⇱⇎","unary_expr":{"type":"numeric_atoms","value":4681,"base":7}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"unary","operator":"⪷","unary_expr":{"type":"numeric_atoms","value":1163,"base":7}}}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"unary","operator":"⩘","unary_expr":{"type":"numeric_atoms","value":1445,"base":7}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":4293,"base":7},"right_expr":{"type":"numeric_atoms","value":1808,"base":7}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":5949,"base":7},"right_expr":{"type":"numeric_atoms","value":1093,"base":7}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":4564,"base":7},"right_expr":{"type":"numeric_atoms","value":1457,"base":7}}}}},"used_operators":["ocnLzx9CaJ","Ikt5ks8PT7","lwHaAYXP2r","CgIo77xlM2","MRPaB8lBjK","megm06wKyl","Qctrpi3WzA","k1SHOSEABc","EWw2JM7wp4","wvHyciQT5X","uWAJUKEvyW","23Mk6UjR3U","3sJ7IOPOlU","nEsXyWgiOK"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","eewbuw0ToL","t8gj7n24qd","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","cWQsF5MvuD","zR4jO40bMj","SUmda5xLS4","DZ8iAZOCBD","PxpmPgHHJV","ocnLzx9CaJ","Z5m6OM72h2","mqXw5SEYmG","8cLx32lpNA","XhwjNDsVaA","QiR2Oyf5Xj","uFcxV4UQCh","EWw2JM7wp4","t8gj7n24qd","keWfFq85dY","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","Nsiff2A1zJ","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","9ICcGScMcE","dfKe02y8D2","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG"],"result":"≴∭⊉-1105056256","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5532","layer":4},{"info":"compute unary expreesion, input=5532, op_id = CgIo77xlM2, unary_op_definition = 'a⫑ = { (((a⊉≛↸377)⩼⇪↪(a∘a))⪄(841⪶≀⋏a)) , if (a⫸⊐7)<631 ; ((↓⇌(a∌a))⨌↪) , else }', output=3979","layer":3},{"info":"number node, value=4681","layer":4},{"info":"compute unary expreesion, input=4681, op_id = MRPaB8lBjK, unary_op_definition = 'a⇉⇱⇎ = { (((a/a)⪉⨛(≯757))⪛(∷≠(-a))) }', output=-4463","layer":3},{"info":"compute binary expreesion, left_input=3979, right_input=-4463, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":2},{"info":"number node, value=1163","layer":4},{"info":"compute unary expreesion, input=1163, op_id = Qctrpi3WzA, unary_op_definition = 'a⪷ = { (a⊴a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-21, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=21","layer":1},{"info":"number node, value=1445","layer":4},{"info":"compute unary expreesion, input=1445, op_id = wvHyciQT5X, unary_op_definition = 'a⩘ = { (≦∁(a⫚↹⊑129)) }', output=67","layer":3},{"info":"number node, value=4293","layer":4},{"info":"number node, value=1808","layer":4},{"info":"compute binary expreesion, left_input=4293, right_input=1808, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-292","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=-292, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=1292","layer":2},{"info":"number node, value=5949","layer":4},{"info":"number node, value=1093","layer":4},{"info":"compute binary expreesion, left_input=5949, right_input=1093, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"number node, value=4564","layer":4},{"info":"number node, value=1457","layer":4},{"info":"compute binary expreesion, left_input=4564, right_input=1457, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=28111","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=28111, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=1292, right_input=0, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=6674302","layer":1},{"info":"compute binary expreesion, left_input=21, right_input=6674302, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-46720855","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉22062⫑)⨚⇆(≴∭⊉16435⇉⇱⇎)⩧⪆(⨈⫕(≴∭⊉3251⪷)))⩼⇪↪((≴∭⊉4133⩘)⪉⨛≴∭⊉15342⊹∫⫚≴∭⊉5162)⨂≜(≴∭⊉23226⪇≇⋚≴∭⊉3121⋷≴∭⊉16210⨻⩈⩔≴∭⊉4151)=≴∭⊉-1105056256","reverse_text":"≴∭⊉-1105056256=((≴∭⊉22062⫑)⨚⇆(≴∭⊉16435⇉⇱⇎)⩧⪆(⨈⫕(≴∭⊉3251⪷)))⩼⇪↪((≴∭⊉4133⩘)⪉⨛≴∭⊉15342⊹∫⫚≴∭⊉5162)⨂≜(≴∭⊉23226⪇≇⋚≴∭⊉3121⋷≴∭⊉16210⨻⩈⩔≴∭⊉4151)","cot":[{"info":"≴∭⊉22062⫑=≴∭⊉14413","layer":3},{"info":"≴∭⊉16435⇉⇱⇎=≴∭⊉-16004","layer":3},{"info":"≴∭⊉14413⨚⇆≴∭⊉-16004=NaN","layer":2},{"info":"≴∭⊉3251⪷=NaN","layer":3},{"info":"⨈⫕NaN=≴∭⊉-30","layer":2},{"info":"NaN⩧⪆≴∭⊉-30=≴∭⊉30","layer":1},{"info":"≴∭⊉4133⩘=≴∭⊉124","layer":3},{"info":"≴∭⊉15342⊹∫⫚≴∭⊉5162=≴∭⊉-565","layer":3},{"info":"≴∭⊉124⪉⨛≴∭⊉-565=≴∭⊉3524","layer":2},{"info":"≴∭⊉23226⪇≇⋚≴∭⊉3121=≴∭⊉0","layer":3},{"info":"≴∭⊉16210⨻⩈⩔≴∭⊉4151=≴∭⊉144646","layer":3},{"info":"≴∭⊉0⋷≴∭⊉144646=≴∭⊉0","layer":2},{"info":"≴∭⊉3524⨂≜≴∭⊉0=≴∭⊉110505415","layer":1},{"info":"≴∭⊉30⩼⇪↪≴∭⊉110505415=≴∭⊉-1105056256","layer":0}]}
+{"id":362,"expression_no_base_symbol":"≸($3172$∥⊢⊲$2997$⨎$1225$≎⪠$6701$≀⩗∶$3544$⨔⇊$5861$≬⇓($4448$⫌⩉⩟$4925$))","expression":"≸(≴∭⊉12151∥⊢⊲≴∭⊉11511⨎≴∭⊉3400≎⪠≴∭⊉25352≀⩗∶≴∭⊉13222⨔⇊≴∭⊉23042≬⇓(≴∭⊉15653⫌⩉⩟≴∭⊉20234))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":46605,"operation_count":8,"complexity_ratio":5825.625,"tree":{"type":"unary","operator":"≸","unary_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":3172,"base":7},"right_expr":{"type":"numeric_atoms","value":2997,"base":7}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":1225,"base":7},"right_expr":{"type":"numeric_atoms","value":6701,"base":7}}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":3544,"base":7},"right_expr":{"type":"numeric_atoms","value":5861,"base":7}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":4448,"base":7},"right_expr":{"type":"numeric_atoms","value":4925,"base":7}}}}},"used_operators":["eOf03JbCpp","8INZBEW696","rJVOvQCfKK","v1UQAVDJRr","aNhz54LH3e","jWTQ2TZYIH","JclMnS0uGI","XIIwhv8d0m"],"dependent_operators":["WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","EBcxylXtPf","rGHVDoGpnC","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM"],"result":"≴∭⊉1011","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3172","layer":4},{"info":"number node, value=2997","layer":4},{"info":"compute binary expreesion, left_input=3172, right_input=2997, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"number node, value=1225","layer":4},{"info":"number node, value=6701","layer":4},{"info":"compute binary expreesion, left_input=1225, right_input=6701, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=19558, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=19558","layer":2},{"info":"number node, value=3544","layer":4},{"info":"number node, value=5861","layer":4},{"info":"compute binary expreesion, left_input=3544, right_input=5861, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=5861","layer":3},{"info":"number node, value=4448","layer":4},{"info":"number node, value=4925","layer":4},{"info":"compute binary expreesion, left_input=4448, right_input=4925, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute binary expreesion, left_input=5861, right_input=-50, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":2},{"info":"compute binary expreesion, left_input=19558, right_input=-22, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=3","layer":1},{"info":"compute unary expreesion, input=3, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=351","layer":0}],"base":7,"result_base":7,"text":"≸(≴∭⊉12151∥⊢⊲≴∭⊉11511⨎≴∭⊉3400≎⪠≴∭⊉25352≀⩗∶≴∭⊉13222⨔⇊≴∭⊉23042≬⇓(≴∭⊉15653⫌⩉⩟≴∭⊉20234))=≴∭⊉1011","reverse_text":"≴∭⊉1011=≸(≴∭⊉12151∥⊢⊲≴∭⊉11511⨎≴∭⊉3400≎⪠≴∭⊉25352≀⩗∶≴∭⊉13222⨔⇊≴∭⊉23042≬⇓(≴∭⊉15653⫌⩉⩟≴∭⊉20234))","cot":[{"info":"≴∭⊉12151∥⊢⊲≴∭⊉11511=NaN","layer":3},{"info":"≴∭⊉3400≎⪠≴∭⊉25352=≴∭⊉111010","layer":3},{"info":"NaN⨎≴∭⊉111010=≴∭⊉111010","layer":2},{"info":"≴∭⊉13222⨔⇊≴∭⊉23042=≴∭⊉23042","layer":3},{"info":"≴∭⊉15653⫌⩉⩟≴∭⊉20234=≴∭⊉-101","layer":3},{"info":"≴∭⊉23042≬⇓≴∭⊉-101=≴∭⊉-31","layer":2},{"info":"≴∭⊉111010≀⩗∶≴∭⊉-31=≴∭⊉3","layer":1},{"info":"≸≴∭⊉3=≴∭⊉1011","layer":0}]}
+{"id":363,"expression_no_base_symbol":"((⨈⫕$4892$)→⨶⪴$5406$⋹⋡⊁$4320$/(($2725$⊉≛↸$1490$)⇚⪠))∘((↸⊣($3770$⋾⨃∁$2645$))⩚⊴⇥(⨦⪝($5945$↺$2452$)))","expression":"((⨈⫕≴∭⊉20156)→⨶⪴≴∭⊉21522⋹⋡⊁≴∭⊉15411/((≴∭⊉10642⊉≛↸≴∭⊉4226)⇚⪠))∘((↸⊣(≴∭⊉13664⋾⨃∁≴∭⊉10466))⩚⊴⇥(⨦⪝(≴∭⊉23222↺≴∭⊉10102)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":71119,"operation_count":12,"complexity_ratio":5926.583333333333,"tree":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":4892,"base":7}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":5406,"base":7},"right_expr":{"type":"numeric_atoms","value":4320,"base":7}}},"right_expr":{"type":"unary","operator":"⇚⪠","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2725,"base":7},"right_expr":{"type":"numeric_atoms","value":1490,"base":7}}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":3770,"base":7},"right_expr":{"type":"numeric_atoms","value":2645,"base":7}}},"right_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":5945,"base":7},"right_expr":{"type":"numeric_atoms","value":2452,"base":7}}}}},"used_operators":["Z5m6OM72h2","XhwjNDsVaA","bF6eod5Gvf","megm06wKyl","As8RqfVLgs","Loh9y4A90B","DZ8iAZOCBD","NTOWxs364D","wztAlM01eG","212REbPD9h","SUjycxNXIR","7j4O788W3g"],"dependent_operators":["eH2TOUuTDT","rysDP5nf3Z","rysDP5nf3Z","8w2t5hMYqp","9FxExcQeMw","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","Z5m6OM72h2","9HNa5Wba9A","ztP7wcbY7m","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","rysDP5nf3Z","t8gj7n24qd"],"result":"≴∭⊉-2","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4892","layer":4},{"info":"compute unary expreesion, input=4892, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":3},{"info":"number node, value=5406","layer":4},{"info":"number node, value=4320","layer":4},{"info":"compute binary expreesion, left_input=5406, right_input=4320, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=5070","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=5070, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-15210","layer":2},{"info":"number node, value=2725","layer":4},{"info":"number node, value=1490","layer":4},{"info":"compute binary expreesion, left_input=2725, right_input=1490, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5450","layer":3},{"info":"compute unary expreesion, input=5450, op_id = Loh9y4A90B, unary_op_definition = 'a⇚⪠ = { ((a∘(a∈))*a) }', output=59405000","layer":2},{"info":"compute binary expreesion, left_input=-15210, right_input=59405000, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-1","layer":1},{"info":"number node, value=3770","layer":4},{"info":"number node, value=2645","layer":4},{"info":"compute binary expreesion, left_input=3770, right_input=2645, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=69928416","layer":3},{"info":"compute unary expreesion, input=69928416, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-69928129","layer":2},{"info":"number node, value=5945","layer":4},{"info":"number node, value=2452","layer":4},{"info":"compute binary expreesion, left_input=5945, right_input=2452, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2452","layer":3},{"info":"compute unary expreesion, input=2452, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":2},{"info":"compute binary expreesion, left_input=-69928129, right_input=-1884, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=69929892","layer":1},{"info":"compute binary expreesion, left_input=-1, right_input=69929892, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=-2","layer":0}],"base":7,"result_base":7,"text":"((⨈⫕≴∭⊉20156)→⨶⪴≴∭⊉21522⋹⋡⊁≴∭⊉15411/((≴∭⊉10642⊉≛↸≴∭⊉4226)⇚⪠))∘((↸⊣(≴∭⊉13664⋾⨃∁≴∭⊉10466))⩚⊴⇥(⨦⪝(≴∭⊉23222↺≴∭⊉10102)))=≴∭⊉-2","reverse_text":"≴∭⊉-2=((⨈⫕≴∭⊉20156)→⨶⪴≴∭⊉21522⋹⋡⊁≴∭⊉15411/((≴∭⊉10642⊉≛↸≴∭⊉4226)⇚⪠))∘((↸⊣(≴∭⊉13664⋾⨃∁≴∭⊉10466))⩚⊴⇥(⨦⪝(≴∭⊉23222↺≴∭⊉10102)))","cot":[{"info":"⨈⫕≴∭⊉20156=≴∭⊉-30","layer":3},{"info":"≴∭⊉21522⋹⋡⊁≴∭⊉15411=≴∭⊉20532","layer":3},{"info":"≴∭⊉-30→⨶⪴≴∭⊉20532=≴∭⊉-62226","layer":2},{"info":"≴∭⊉10642⊉≛↸≴∭⊉4226=≴∭⊉21614","layer":3},{"info":"≴∭⊉21614⇚⪠=≴∭⊉1320635264","layer":2},{"info":"≴∭⊉-62226/≴∭⊉1320635264=≴∭⊉-1","layer":1},{"info":"≴∭⊉13664⋾⨃∁≴∭⊉10466=≴∭⊉1506244635","layer":3},{"info":"↸⊣≴∭⊉1506244635=≴∭⊉-1506244045","layer":2},{"info":"≴∭⊉23222↺≴∭⊉10102=≴∭⊉10102","layer":3},{"info":"⨦⪝≴∭⊉10102=≴∭⊉-5331","layer":2},{"info":"≴∭⊉-1506244045⩚⊴⇥≴∭⊉-5331=≴∭⊉1506252144","layer":1},{"info":"≴∭⊉-1∘≴∭⊉1506252144=≴∭⊉-2","layer":0}]}
+{"id":364,"expression_no_base_symbol":"(($3321$⫚↹⊑$1685$)≀⫉(⨵≀≌$1140$))⊮⊟↴(⩰$6432$⪘⫢$8506$)*($2676$⫁⪎$4094$)⫯⪬∳($2764$⪶≀⋏$1694$)∌(($6052$⊉↱≁$5366$)⪚⩙≫)","expression":"((≴∭⊉12453⫚↹⊑≴∭⊉4625)≀⫉(⨵≀≌≴∭⊉3216))⊮⊟↴(⩰≴∭⊉24516⪘⫢≴∭⊉33541)*(≴∭⊉10542⫁⪎≴∭⊉14636)⫯⪬∳(≴∭⊉11026⪶≀⋏≴∭⊉4640)∌((≴∭⊉23434⊉↱≁≴∭⊉21434)⪚⩙≫)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":307,"operation_count":13,"complexity_ratio":23.615384615384617,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":3321,"base":7},"right_expr":{"type":"numeric_atoms","value":1685,"base":7}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1140,"base":7}}},"right_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":6432,"base":7},"right_expr":{"type":"numeric_atoms","value":8506,"base":7}}}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":2676,"base":7},"right_expr":{"type":"numeric_atoms","value":4094,"base":7}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":2764,"base":7},"right_expr":{"type":"numeric_atoms","value":1694,"base":7}}},"right_expr":{"type":"unary","operator":"⪚⩙≫","unary_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":6052,"base":7},"right_expr":{"type":"numeric_atoms","value":5366,"base":7}}}}},"used_operators":["9HNa5Wba9A","QDVgd2eftb","oZj3VtZNQx","dfKe02y8D2","srAu1WTS94","WkeUrDK8WX","oacrs7FA3X","8cLx32lpNA","d7ASUq0ydm","xRrnTEsQ6j","zR4jO40bMj","4n53wtyJvv","w2P8NbNXyL"],"dependent_operators":["W4YGzv6Whe","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","Uaa54Peajs","nCS4ZIUYfx","WR6HLWljOP","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3321","layer":4},{"info":"number node, value=1685","layer":4},{"info":"compute binary expreesion, left_input=3321, right_input=1685, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"number node, value=1140","layer":4},{"info":"compute unary expreesion, input=1140, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-3420","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=-3420, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":2},{"info":"number node, value=6432","layer":4},{"info":"number node, value=8506","layer":4},{"info":"compute binary expreesion, left_input=6432, right_input=8506, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=12740","layer":3},{"info":"compute unary expreesion, input=12740, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-13740","layer":2},{"info":"compute binary expreesion, left_input=2822, right_input=-13740, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=785461","layer":1},{"info":"number node, value=2676","layer":4},{"info":"number node, value=4094","layer":4},{"info":"compute binary expreesion, left_input=2676, right_input=4094, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-1418","layer":3},{"info":"number node, value=2764","layer":4},{"info":"number node, value=1694","layer":4},{"info":"compute binary expreesion, left_input=2764, right_input=1694, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-11912","layer":3},{"info":"compute binary expreesion, left_input=-1418, right_input=-11912, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=3781","layer":2},{"info":"number node, value=6052","layer":4},{"info":"number node, value=5366","layer":4},{"info":"compute binary expreesion, left_input=6052, right_input=5366, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=28272","layer":3},{"info":"compute unary expreesion, input=28272, op_id = 4n53wtyJvv, unary_op_definition = 'a⪚⩙≫ = { ((316↢a)⨳⩥⨓(∂255)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=3781, right_input=nan, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=785461, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉12453⫚↹⊑≴∭⊉4625)≀⫉(⨵≀≌≴∭⊉3216))⊮⊟↴(⩰≴∭⊉24516⪘⫢≴∭⊉33541)*(≴∭⊉10542⫁⪎≴∭⊉14636)⫯⪬∳(≴∭⊉11026⪶≀⋏≴∭⊉4640)∌((≴∭⊉23434⊉↱≁≴∭⊉21434)⪚⩙≫)=NaN","reverse_text":"NaN=((≴∭⊉12453⫚↹⊑≴∭⊉4625)≀⫉(⨵≀≌≴∭⊉3216))⊮⊟↴(⩰≴∭⊉24516⪘⫢≴∭⊉33541)*(≴∭⊉10542⫁⪎≴∭⊉14636)⫯⪬∳(≴∭⊉11026⪶≀⋏≴∭⊉4640)∌((≴∭⊉23434⊉↱≁≴∭⊉21434)⪚⩙���)","cot":[{"info":"≴∭⊉12453⫚↹⊑≴∭⊉4625=≴∭⊉-1206","layer":3},{"info":"⨵≀≌≴∭⊉3216=≴∭⊉-12654","layer":3},{"info":"≴∭⊉-1206≀⫉≴∭⊉-12654=≴∭⊉11141","layer":2},{"info":"≴∭⊉24516⪘⫢≴∭⊉33541=≴∭⊉52100","layer":3},{"info":"⩰≴∭⊉52100=≴∭⊉-55026","layer":2},{"info":"≴∭⊉11141⊮⊟↴≴∭⊉-55026=≴∭⊉6450655","layer":1},{"info":"≴∭⊉10542⫁⪎≴∭⊉14636=≴∭⊉-4064","layer":3},{"info":"≴∭⊉11026⪶≀⋏≴∭⊉4640=≴∭⊉-46505","layer":3},{"info":"≴∭⊉-4064⫯⪬∳≴∭⊉-46505=≴∭⊉14011","layer":2},{"info":"≴∭⊉23434⊉↱≁≴∭⊉21434=≴∭⊉145266","layer":3},{"info":"≴∭⊉145266⪚⩙≫=NaN","layer":2},{"info":"≴∭⊉14011∌NaN=NaN","layer":1},{"info":"≴∭⊉6450655*NaN=NaN","layer":0}]}
+{"id":365,"expression_no_base_symbol":"(($2945$≁$1577$∓⋝($2331$⨑≵⋬$2646$))⋹)↞⋁($2281$⋓$3799$⪇≇⋚$8148$↬$4610$∽(≻⋜$7315$)⇻⋧≁(⨝⨆$4447$))","expression":"((≴∭⊉11405≁≴∭⊉4412∓⋝(≴∭⊉6540⨑≵⋬≴∭⊉10500))⋹)↞⋁(≴∭⊉6436⋓≴∭⊉14035⪇≇⋚≴∭⊉32520↬≴∭⊉16304∽(≻⋜≴∭⊉30220)⇻⋧≁(⨝⨆≴∭⊉15652))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":36634,"operation_count":12,"complexity_ratio":3052.8333333333335,"tree":{"type":"binary","operator":"↞⋁","left_expr":{"type":"unary","operator":"⋹","unary_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":2945,"base":7},"right_expr":{"type":"numeric_atoms","value":1577,"base":7}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":2331,"base":7},"right_expr":{"type":"numeric_atoms","value":2646,"base":7}}}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2281,"base":7},"right_expr":{"type":"numeric_atoms","value":3799,"base":7}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":8148,"base":7},"right_expr":{"type":"numeric_atoms","value":4610,"base":7}}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"numeric_atoms","value":7315,"base":7}},"right_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"numeric_atoms","value":4447,"base":7}}}}},"used_operators":["RqrPlJkxDo","opAxDRczMr","PoHhknlbAi","8N2wDY1A35","XnXgA4xnOs","y4ImoPnbV5","3sJ7IOPOlU","T2fj7uvVaJ","B5M0gjZbta","jCPkEVoL5K","3tj9sqzovi","bQ67fsrMVf"],"dependent_operators":["Uaa54Peajs","CArV6hThFE","13rbtpv6ld","13rbtpv6ld","mp7IySMOzn","z63VuFQld9","aN9a90urxU","27wFxooxGf","SVb2v531z1","eewbuw0ToL","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","NTOWxs364D","QMFrweE19q","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rGHVDoGpnC","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","tifHPKVTfV"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2945","layer":4},{"info":"number node, value=1577","layer":4},{"info":"compute binary expreesion, left_input=2945, right_input=1577, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=24647","layer":3},{"info":"number node, value=2331","layer":4},{"info":"number node, value=2646","layer":4},{"info":"compute binary expreesion, left_input=2331, right_input=2646, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-5488","layer":3},{"info":"compute binary expreesion, left_input=24647, right_input=-5488, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":2},{"info":"compute unary expreesion, input=67, op_id = opAxDRczMr, unary_op_definition = 'a⋹ = { ((⨴⫝a)⇷(a↤⩊a)) , if (a≃⋄)<20 or (⊢≑≆a)<=20 ; ((a⨰a)∧) , else }', output=-20","layer":1},{"info":"number node, value=2281","layer":4},{"info":"number node, value=3799","layer":4},{"info":"compute binary expreesion, left_input=2281, right_input=3799, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"number node, value=8148","layer":4},{"info":"number node, value=4610","layer":4},{"info":"compute binary expreesion, left_input=8148, right_input=4610, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":2},{"info":"number node, value=7315","layer":4},{"info":"compute unary expreesion, input=7315, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":3},{"info":"number node, value=4447","layer":4},{"info":"compute unary expreesion, input=4447, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=4238","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4238, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-20, right_input=nan, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉11405≁≴∭⊉4412∓⋝(≴∭⊉6540⨑≵⋬≴∭⊉10500))⋹)↞⋁(≴∭⊉6436⋓≴∭⊉14035⪇≇⋚≴∭⊉32520↬≴∭⊉16304∽(≻⋜≴∭⊉30220)⇻⋧≁(⨝⨆≴∭⊉15652))=NaN","reverse_text":"NaN=((≴∭⊉11405≁≴∭⊉4412∓⋝(≴∭⊉6540⨑≵⋬≴∭⊉10500))⋹)↞⋁(≴∭⊉6436⋓≴∭⊉14035⪇≇⋚≴∭⊉32520↬≴∭⊉16304∽(≻⋜≴∭⊉30220)⇻⋧≁(⨝⨆≴∭⊉15652))","cot":[{"info":"≴∭⊉11405≁≴∭⊉4412=≴∭⊉131600","layer":3},{"info":"≴∭⊉6540⨑≵⋬≴∭⊉10500=≴∭⊉-22000","layer":3},{"info":"≴∭⊉131600∓⋝≴∭⊉-22000=≴∭⊉124","layer":2},{"info":"≴∭⊉124⋹=≴∭⊉-26","layer":1},{"info":"≴∭⊉6436⋓≴∭⊉14035=≴∭⊉0","layer":3},{"info":"≴∭⊉32520↬≴∭⊉16304=NaN","layer":3},{"info":"≴∭⊉0⪇≇⋚NaN=≴∭⊉0","layer":2},{"info":"≻⋜≴∭⊉30220=NaN","layer":3},{"info":"⨝⨆≴∭⊉15652=≴∭⊉15233","layer":3},{"info":"NaN⇻⋧≁≴∭⊉15233=NaN","layer":2},{"info":"≴∭⊉0∽NaN=NaN","layer":1},{"info":"≴∭⊉-26↞⋁NaN=NaN","layer":0}]}
+{"id":366,"expression_no_base_symbol":"((⫛⫱⨽$4603$)⊮⊟↴($1620$⪣⫩)⩘)∌↝((($3206$⪭$2725$)⨎⋸⪻)⊔($5887$⊨$3842$)⨟⋌⩍(⋗⩬⋾$3553$))","expression":"((⫛⫱⨽≴∭⊉16264)⊮⊟↴(≴∭⊉4503⪣⫩)⩘)∌↝(((≴∭⊉12230⪭≴∭⊉10642)⨎⋸⪻)⊔(≴∭⊉23110⊨≴∭⊉14126)⨟⋌⩍(⋗⩬⋾≴∭⊉13234))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1574,"operation_count":11,"complexity_ratio":143.0909090909091,"tree":{"type":"binary","operator":"∌↝","left_expr":{"type":"unary","operator":"⩘","unary_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":4603,"base":7}},"right_expr":{"type":"unary","operator":"⪣⫩","unary_expr":{"type":"numeric_atoms","value":1620,"base":7}}}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"unary","operator":"⨎⋸⪻","unary_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":3206,"base":7},"right_expr":{"type":"numeric_atoms","value":2725,"base":7}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":5887,"base":7},"right_expr":{"type":"numeric_atoms","value":3842,"base":7}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":3553,"base":7}}}}},"used_operators":["9Isq31Ruls","wvHyciQT5X","QDVgd2eftb","DlLNRPXxWL","iuk5sVOGFA","E4l6HwMY31","Dk5vyLCiGd","j9kHMeSvPp","rGHVDoGpnC","vg4gO5BX6G","DpFCA1CohY"],"dependent_operators":["DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","9ICcGScMcE","dfKe02y8D2","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","rGHVDoGpnC","W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","IWmyXbctLI","COABgblf1C","xUOZtlo3hN","Tcnh7f0tEr","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"≴∭⊉251","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4603","layer":4},{"info":"compute unary expreesion, input=4603, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=1620","layer":4},{"info":"compute unary expreesion, input=1620, op_id = iuk5sVOGFA, unary_op_definition = 'a⪣⫩ = { ((a⋥≓≎a)⋷(a+a)) , if a>=275 ; ((a∲⫓a)≧⫂∧(⪲⇎693)) , else }', output=4827","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=4827, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = wvHyciQT5X, unary_op_definition = 'a⩘ = { (≦∁(a⫚↹⊑129)) }', output=67","layer":1},{"info":"number node, value=3206","layer":4},{"info":"number node, value=2725","layer":4},{"info":"compute binary expreesion, left_input=3206, right_input=2725, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"compute unary expreesion, input=5, op_id = Dk5vyLCiGd, unary_op_definition = 'a⨎⋸⪻ = { (a⪮%⊝26) }', output=326","layer":2},{"info":"number node, value=5887","layer":4},{"info":"number node, value=3842","layer":4},{"info":"compute binary expreesion, left_input=5887, right_input=3842, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=24579","layer":3},{"info":"number node, value=3553","layer":4},{"info":"compute unary expreesion, input=3553, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-10659","layer":3},{"info":"compute binary expreesion, left_input=24579, right_input=-10659, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=326, right_input=nan, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=134","layer":0}],"base":7,"result_base":7,"text":"((⫛⫱⨽≴∭⊉16264)⊮⊟↴(≴∭⊉4503⪣⫩)⩘)∌↝(((≴∭⊉12230⪭≴∭⊉10642)⨎⋸⪻)⊔(≴∭⊉23110⊨≴∭⊉14126)⨟⋌⩍(⋗⩬⋾≴∭⊉13234))=≴∭⊉251","reverse_text":"≴∭⊉251=((⫛⫱⨽≴∭⊉16264)⊮⊟↴(≴∭⊉4503⪣⫩)⩘)∌↝(((≴∭⊉12230⪭≴∭⊉10642)⨎⋸⪻)⊔(≴∭⊉23110⊨≴∭⊉14126)⨟⋌⩍(⋗⩬⋾≴∭⊉13234))","cot":[{"info":"⫛⫱⨽≴∭⊉16264=≴∭⊉0","layer":3},{"info":"≴∭⊉4503⪣⫩=≴∭⊉20034","layer":3},{"info":"≴∭⊉0⊮⊟↴≴∭⊉20034=≴∭⊉0","layer":2},{"info":"≴∭⊉0⩘=≴∭⊉124","layer":1},{"info":"≴∭⊉12230⪭≴∭⊉10642=≴∭⊉5","layer":3},{"info":"≴∭⊉5⨎⋸⪻=≴∭⊉644","layer":2},{"info":"≴∭⊉23110⊨≴∭⊉14126=≴∭⊉131442","layer":3},{"info":"⋗⩬⋾≴∭⊉13234=≴∭⊉-43035","layer":3},{"info":"≴∭⊉131442⨟⋌⩍≴∭⊉-43035=NaN","layer":2},{"info":"≴∭⊉644⊔NaN=NaN","layer":1},{"info":"≴∭⊉124∌↝NaN=≴∭⊉251","layer":0}]}
+{"id":367,"expression_no_base_symbol":"((⇙⪊$1403$)⩣⫁∢($3952$⩌⋺$2523$)⊾⪯⋞($4018$⫚⫇)⩚⊴⇥($3126$⪄$3983$))⩍⋽⫝̸((↩⪖$3298$)⩣⫁∢(⨡↴$5791$))↤⩊($1787$≨$1774$≄⊠($2888$⨎$2263$))","expression":"((⇙⪊≴∭⊉4043)⩣⫁∢(≴∭⊉14344⩌⋺≴∭⊉10233)⊾⪯⋞(≴∭⊉14500⫚⫇)⩚⊴⇥(≴∭⊉12054⪄≴∭⊉14420))⩍⋽⫝̸((↩⪖≴∭⊉12421)⩣⫁∢(⨡↴≴∭⊉22612))↤⩊(≴∭⊉5132≨≴∭⊉5113≄⊠(≴∭⊉11264⨎≴∭⊉6412))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":547,"operation_count":15,"complexity_ratio":36.46666666666667,"tree":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"numeric_atoms","value":1403,"base":7}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":3952,"base":7},"right_expr":{"type":"numeric_atoms","value":2523,"base":7}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⫚⫇","unary_expr":{"type":"numeric_atoms","value":4018,"base":7}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3126,"base":7},"right_expr":{"type":"numeric_atoms","value":3983,"base":7}}}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"numeric_atoms","value":3298,"base":7}},"right_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"numeric_atoms","value":5791,"base":7}}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":1787,"base":7},"right_expr":{"type":"numeric_atoms","value":1774,"base":7}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2888,"base":7},"right_expr":{"type":"numeric_atoms","value":2263,"base":7}}}}},"used_operators":["BiWNJpBvwn","HK0tfVPux8","JDUIKTTSIa","pB6Fcnrjim","g7Hmc5v1ko","NTOWxs364D","SdCjLnB6rR","SUmda5xLS4","13rbtpv6ld","fG6uBQFnGz","liw5iZPkLH","vXNesLlMH1","0KMCeP1Jsh","rJVOvQCfKK"],"dependent_operators":["Ph9nP6C5qx","xUOZtlo3hN","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","2td37pGCOC","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","W4YGzv6Whe","P8v4zCKN1o","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1403","layer":4},{"info":"compute unary expreesion, input=1403, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":3},{"info":"number node, value=3952","layer":4},{"info":"number node, value=2523","layer":4},{"info":"compute binary expreesion, left_input=3952, right_input=2523, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-6596","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-6596, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=161","layer":2},{"info":"number node, value=4018","layer":4},{"info":"compute unary expreesion, input=4018, op_id = SdCjLnB6rR, unary_op_definition = 'a⫚⫇ = { ((⨞⊢87)⨸⪁((⩦⩻⨪a)≧⫂∧a)) }', output=6568","layer":3},{"info":"number node, value=3126","layer":4},{"info":"number node, value=3983","layer":4},{"info":"compute binary expreesion, left_input=3126, right_input=3983, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-474669","layer":3},{"info":"compute binary expreesion, left_input=6568, right_input=-474669, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=467980","layer":2},{"info":"compute binary expreesion, left_input=161, right_input=467980, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=935534","layer":1},{"info":"number node, value=3298","layer":4},{"info":"compute unary expreesion, input=3298, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-22770","layer":3},{"info":"number node, value=5791","layer":4},{"info":"compute unary expreesion, input=5791, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=6840","layer":3},{"info":"compute binary expreesion, left_input=-22770, right_input=6840, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=91645","layer":2},{"info":"number node, value=1787","layer":4},{"info":"number node, value=1774","layer":4},{"info":"compute binary expreesion, left_input=1787, right_input=1774, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-15394","layer":3},{"info":"number node, value=2888","layer":4},{"info":"number node, value=2263","layer":4},{"info":"compute binary expreesion, left_input=2888, right_input=2263, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2263","layer":3},{"info":"compute binary expreesion, left_input=-15394, right_input=2263, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=40876","layer":2},{"info":"compute binary expreesion, left_input=91645, right_input=40876, op_id = 13rbtpv6ld binary_op_definition= 'a��⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=935534, right_input=nan, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((⇙⪊≴∭⊉4043)⩣⫁∢(≴∭⊉14344⩌⋺≴∭⊉10233)⊾⪯⋞(≴∭⊉14500⫚⫇)⩚⊴⇥(≴∭⊉12054⪄≴∭⊉14420))⩍⋽⫝̸((↩⪖≴∭⊉12421)⩣⫁∢(⨡↴≴∭⊉22612))↤⩊(≴∭⊉5132≨≴∭⊉5113≄⊠(≴∭⊉11264⨎≴∭⊉6412))=NaN","reverse_text":"NaN=((⇙⪊≴∭⊉4043)⩣⫁∢(≴∭⊉14344⩌⋺≴∭⊉10233)⊾⪯⋞(≴∭⊉14500⫚⫇)⩚⊴⇥(≴∭⊉12054⪄≴∭⊉14420))⩍⋽⫝̸((↩⪖≴∭⊉12421)⩣⫁∢(⨡↴≴∭⊉22612))↤⩊(≴∭⊉5132≨≴∭⊉5113≄⊠(≴∭⊉11264⨎≴∭⊉6412))","cot":[{"info":"⇙⪊≴∭⊉4043=≴∭⊉0","layer":3},{"info":"≴∭⊉14344⩌⋺≴∭⊉10233=≴∭⊉-25142","layer":3},{"info":"≴∭⊉0⩣⫁∢≴∭⊉-25142=≴∭⊉320","layer":2},{"info":"≴∭⊉14500⫚⫇=≴∭⊉25102","layer":3},{"info":"≴∭⊉12054⪄≴∭⊉14420=≴∭⊉-4014606","layer":3},{"info":"≴∭⊉25102⩚⊴⇥≴∭⊉-4014606=≴∭⊉3656242","layer":2},{"info":"≴∭⊉320⊾⪯⋞≴∭⊉3656242=≴∭⊉10644335","layer":1},{"info":"↩⪖≴∭⊉12421=≴∭⊉-123246","layer":3},{"info":"⨡↴≴∭⊉22612=≴∭⊉25641","layer":3},{"info":"≴∭⊉-123246⩣⫁∢≴∭⊉25641=≴∭⊉531121","layer":2},{"info":"≴∭⊉5132≨≴∭⊉5113=≴∭⊉-62611","layer":3},{"info":"≴∭⊉11264⨎≴∭⊉6412=≴∭⊉6412","layer":3},{"info":"≴∭⊉-62611≄⊠≴∭⊉6412=≴∭⊉230113","layer":2},{"info":"≴∭⊉531121↤⩊≴∭⊉230113=NaN","layer":1},{"info":"≴∭⊉10644335⩍⋽⫝̸NaN=NaN","layer":0}]}
+{"id":368,"expression_no_base_symbol":"((⇾⩊⇾($1430$⨚⇆$2374$))⨲)⩷∴($8938$⪎↠$2173$⩼⇪↪($1235$⊪))⪎↠($2574$⊕∕$2256$⩍⋽⫝̸$3125$∌$8542$)","expression":"((⇾⩊⇾(≴∭⊉4112⨚⇆≴∭⊉6631))⨲)⩷∴(≴∭⊉35026⪎↠≴∭⊉6223⩼⇪↪(≴∭⊉3413⊪))⪎↠(≴∭⊉10335⊕∕≴∭⊉6402⩍⋽⫝̸≴∭⊉12053∌≴∭⊉33622)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":15257,"operation_count":11,"complexity_ratio":1387.0,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⨲","unary_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":1430,"base":7},"right_expr":{"type":"numeric_atoms","value":2374,"base":7}}}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":8938,"base":7},"right_expr":{"type":"numeric_atoms","value":2173,"base":7}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":1235,"base":7}}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":2574,"base":7},"right_expr":{"type":"numeric_atoms","value":2256,"base":7}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":3125,"base":7},"right_expr":{"type":"numeric_atoms","value":8542,"base":7}}}}},"used_operators":["9FxExcQeMw","nLYMGWM7L8","bx9Z9DAK5y","lwHaAYXP2r","3tVxb0NHM4","ocnLzx9CaJ","zVYPLywUTj","BiWNJpBvwn","9cloC0Ngie","8cLx32lpNA"],"dependent_operators":["rysDP5nf3Z","DlLNRPXxWL","WR6HLWljOP","48vC8HMD2b","SUmda5xLS4","wicAB68Tmb","hrf7POJlIJ","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","Ph9nP6C5qx","xUOZtlo3hN","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd"],"result":"≴∭⊉142420542","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1430","layer":4},{"info":"number node, value=2374","layer":4},{"info":"compute binary expreesion, left_input=1430, right_input=2374, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = nLYMGWM7L8, unary_op_definition = 'a⨲ = { ((a↢a)∴(118⪝a)) , if a==152 ; ((a⪄a)⫘(⫛⫱⨽a)) , else }', output=4683709","layer":1},{"info":"number node, value=8938","layer":4},{"info":"number node, value=2173","layer":4},{"info":"compute binary expreesion, left_input=8938, right_input=2173, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"number node, value=1235","layer":4},{"info":"compute unary expreesion, input=1235, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=0, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-463","layer":2},{"info":"number node, value=2574","layer":4},{"info":"number node, value=2256","layer":4},{"info":"compute binary expreesion, left_input=2574, right_input=2256, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=2574","layer":3},{"info":"number node, value=3125","layer":4},{"info":"number node, value=8542","layer":4},{"info":"compute binary expreesion, left_input=3125, right_input=8542, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-8542","layer":3},{"info":"compute binary expreesion, left_input=2574, right_input=-8542, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=10643","layer":2},{"info":"compute binary expreesion, left_input=-463, right_input=10643, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=405","layer":1},{"info":"compute binary expreesion, left_input=4683709, right_input=405, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=9366576","layer":0}],"base":7,"result_base":7,"text":"((⇾⩊⇾(≴∭⊉4112⨚⇆≴∭⊉6631))⨲)⩷∴(≴∭⊉35026⪎↠≴∭⊉6223⩼⇪↪(≴∭⊉3413⊪))⪎↠(≴∭⊉10335⊕∕≴∭⊉6402⩍⋽⫝̸≴∭⊉12053∌≴∭⊉33622)=≴∭⊉142420542","reverse_text":"≴∭⊉142420542=((⇾⩊⇾(≴∭⊉4112⨚⇆≴∭⊉6631))⨲)⩷∴(≴∭⊉35026⪎↠≴∭⊉6223⩼⇪↪(≴∭⊉3413⊪))⪎↠(≴∭⊉10335⊕∕≴∭⊉6402⩍⋽⫝̸≴∭⊉12053∌≴∭⊉33622)","cot":[{"info":"≴∭⊉4112⨚⇆≴∭⊉6631=NaN","layer":3},{"info":"⇾⩊⇾NaN=NaN","layer":2},{"info":"NaN⨲=≴∭⊉54545062","layer":1},{"info":"≴∭⊉35026⪎↠≴∭⊉6223=≴∭⊉316","layer":3},{"info":"≴∭⊉3413⊪=≴∭⊉0","layer":3},{"info":"≴∭⊉316⩼⇪↪≴∭⊉0=≴∭⊉-1231","layer":2},{"info":"≴∭⊉10335⊕∕≴∭⊉6402=≴∭⊉10335","layer":3},{"info":"≴∭⊉12053∌≴∭⊉33622=≴∭⊉-33622","layer":3},{"info":"≴∭⊉10335⩍⋽⫝̸≴∭⊉-33622=≴∭⊉43013","layer":2},{"info":"≴∭⊉-1231⪎↠≴∭⊉43013=≴∭⊉1116","layer":1},{"info":"≴∭⊉54545062⩷∴≴∭⊉1116=≴∭⊉142420542","layer":0}]}
+{"id":369,"expression_no_base_symbol":"(($2760$∘$2914$⪪(⨞⊢$8947$))⊀⩕)≋⫹","expression":"((≴∭⊉11022∘≴∭⊉11332⪪(⨞⊢≴∭⊉35041))⊀⩕)≋⫹","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":17961,"operation_count":5,"complexity_ratio":3592.2,"tree":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"unary","operator":"⊀⩕","unary_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":2760,"base":7},"right_expr":{"type":"numeric_atoms","value":2914,"base":7}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":8947,"base":7}}}}},"used_operators":["N41Kp7NANJ","r0FS3hW4cC","xD69zh8xqp","Z5m6OM72h2","xUOZtlo3hN"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","nhYeJWJD5X","FU0Cs4j7VP","JclMnS0uGI","eH2TOUuTDT","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2760","layer":4},{"info":"number node, value=2914","layer":4},{"info":"compute binary expreesion, left_input=2760, right_input=2914, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=5520","layer":3},{"info":"number node, value=8947","layer":4},{"info":"compute unary expreesion, input=8947, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-9121","layer":3},{"info":"compute binary expreesion, left_input=5520, right_input=-9121, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-829609","layer":2},{"info":"compute unary expreesion, input=-829609, op_id = r0FS3hW4cC, unary_op_definition = 'a⊀⩕ = { (a⨟⋌⩍(181∇⊂⋱a)) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=0","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉11022∘≴∭⊉11332⪪(⨞⊢≴∭⊉35041))⊀⩕)≋⫹=≴∭⊉0","reverse_text":"≴∭⊉0=((≴∭⊉11022∘≴∭⊉11332⪪(⨞⊢≴∭⊉35041))⊀⩕)≋⫹","cot":[{"info":"≴∭⊉11022∘≴∭⊉11332=≴∭⊉22044","layer":3},{"info":"⨞⊢≴∭⊉35041=≴∭⊉-35410","layer":3},{"info":"≴∭⊉22044⪪≴∭⊉-35410=≴∭⊉-10023454","layer":2},{"info":"≴∭⊉-10023454⊀⩕=≴∭⊉0","layer":1},{"info":"≴∭⊉0≋⫹=≴∭⊉0","layer":0}]}
+{"id":370,"expression_no_base_symbol":"(($3674$∋$4927$⋭≵$4263$⇡⇂$1022$)⫲≸⪮($2144$⪭≯$3492$)∥⊢⊲($3077$⩺⪪$4882$))⩺⋐⫨","expression":"((≴∭⊉13466∋≴∭⊉20236⋭≵≴∭⊉15300⇡⇂≴∭⊉2660)⫲≸⪮(≴∭⊉6152⪭≯≴∭⊉13116)∥⊢⊲(≴∭⊉11654⩺⪪≴∭⊉20143))⩺⋐⫨","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":7287,"operation_count":8,"complexity_ratio":910.875,"tree":{"type":"unary","operator":"⩺⋐⫨","unary_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":3674,"base":7},"right_expr":{"type":"numeric_atoms","value":4927,"base":7}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":4263,"base":7},"right_expr":{"type":"numeric_atoms","value":1022,"base":7}}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":2144,"base":7},"right_expr":{"type":"numeric_atoms","value":3492,"base":7}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":3077,"base":7},"right_expr":{"type":"numeric_atoms","value":4882,"base":7}}}}},"used_operators":["yS9ePUuUdn","P3lXMJvFrc","jBncVCNhdl","ukq6epAj5P","UMwdvZNt44","v1UQAVDJRr","XAx5wpdLa6","uvdQJvN4PV"],"dependent_operators":["9samAPKr6k","j9kHMeSvPp","Tcnh7f0tEr","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","EBcxylXtPf","rGHVDoGpnC","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3674","layer":4},{"info":"number node, value=4927","layer":4},{"info":"compute binary expreesion, left_input=3674, right_input=4927, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=10346120","layer":3},{"info":"number node, value=4263","layer":4},{"info":"number node, value=1022","layer":4},{"info":"compute binary expreesion, left_input=4263, right_input=1022, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=10346120, right_input=nan, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":2},{"info":"number node, value=2144","layer":4},{"info":"number node, value=3492","layer":4},{"info":"compute binary expreesion, left_input=2144, right_input=3492, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"number node, value=3077","layer":4},{"info":"number node, value=4882","layer":4},{"info":"compute binary expreesion, left_input=3077, right_input=4882, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1818, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=-1818","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=-1818, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=67","layer":1},{"info":"compute unary expreesion, input=67, op_id = yS9ePUuUdn, unary_op_definition = 'a⩺⋐⫨ = { ((a≣⋋)⨽∌(a⪭a)) }', output=0","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉13466∋≴∭⊉20236⋭≵≴∭⊉15300⇡⇂≴∭⊉2660)⫲≸⪮(≴∭⊉6152⪭≯≴∭⊉13116)∥⊢⊲(≴∭⊉11654⩺⪪≴∭⊉20143))⩺⋐⫨=≴∭⊉0","reverse_text":"≴∭⊉0=((≴∭⊉13466∋≴∭⊉20236⋭≵≴∭⊉15300⇡⇂≴∭⊉2660)⫲≸⪮(≴∭⊉6152⪭≯≴∭⊉13116)∥⊢⊲(≴∭⊉11654⩺⪪≴∭⊉20143))⩺⋐⫨","cot":[{"info":"≴∭⊉13466∋≴∭⊉20236=≴∭⊉153640421","layer":3},{"info":"≴∭⊉15300⇡⇂≴∭⊉2660=NaN","layer":3},{"info":"≴∭⊉153640421⋭≵NaN=≴∭⊉124","layer":2},{"info":"≴∭⊉6152⪭≯≴∭⊉13116=NaN","layer":3},{"info":"≴∭⊉11654⩺⪪≴∭⊉20143=≴∭⊉-5205","layer":3},{"info":"NaN∥⊢⊲≴∭⊉-5205=≴∭⊉-5205","layer":2},{"info":"≴∭⊉124⫲≸⪮≴∭⊉-5205=≴∭⊉124","layer":1},{"info":"≴∭⊉124⩺⋐⫨=≴∭⊉0","layer":0}]}
+{"id":371,"expression_no_base_symbol":"(⇾⩊⇾($3486$∺≝⩲$2633$∛($3779$⪛⫼$7442$)))∊∟⩊(($1579$⋹⋡⊁$6172$⇟⨁⪰)⫲≸⪮((⫖→$1792$)⨳⩥⨓$2697$⩍⋽⫝̸$1678$))","expression":"(⇾⩊⇾(≴∭⊉13110∺≝⩲≴∭⊉10451∛(≴∭⊉14006⪛⫼≴∭⊉30461)))∊∟⩊((≴∭⊉4414⋹⋡⊁≴∭⊉23665⇟⨁⪰)⫲≸⪮((⫖→≴∭⊉5140)⨳⩥⨓≴∭⊉10602⩍⋽⫝̸≴∭⊉4615))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":71879,"operation_count":11,"complexity_ratio":6534.454545454545,"tree":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":3486,"base":7},"right_expr":{"type":"numeric_atoms","value":2633,"base":7}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":3779,"base":7},"right_expr":{"type":"numeric_atoms","value":7442,"base":7}}}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"unary","operator":"⇟⨁⪰","unary_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":1579,"base":7},"right_expr":{"type":"numeric_atoms","value":6172,"base":7}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"numeric_atoms","value":1792,"base":7}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":2697,"base":7},"right_expr":{"type":"numeric_atoms","value":1678,"base":7}}}}},"used_operators":["ddLRYrp01A","bx9Z9DAK5y","w2537kitQq","KPf6cnQVty","hyuBjUqXlG","P3lXMJvFrc","BX1lVwlMe0","As8RqfVLgs","nCS4ZIUYfx","U4ylXWHChL","BiWNJpBvwn"],"dependent_operators":["59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","2DDjHMKMc0","xUOZtlo3hN","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","W4YGzv6Whe","rysDP5nf3Z","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","Ph9nP6C5qx","xUOZtlo3hN"],"result":"≴∭⊉-26455","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3486","layer":4},{"info":"number node, value=2633","layer":4},{"info":"compute binary expreesion, left_input=3486, right_input=2633, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"number node, value=3779","layer":4},{"info":"number node, value=7442","layer":4},{"info":"compute binary expreesion, left_input=3779, right_input=7442, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=968, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":2},{"info":"compute unary expreesion, input=67, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-7089","layer":1},{"info":"number node, value=1579","layer":4},{"info":"number node, value=6172","layer":4},{"info":"compute binary expreesion, left_input=1579, right_input=6172, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=6922","layer":3},{"info":"compute unary expreesion, input=6922, op_id = BX1lVwlMe0, unary_op_definition = 'a⇟⨁⪰ = { (⨞⊢(a⋝⋈⪟a)) }', output=-7096","layer":2},{"info":"number node, value=1792","layer":4},{"info":"compute unary expreesion, input=1792, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":3},{"info":"number node, value=2697","layer":4},{"info":"number node, value=1678","layer":4},{"info":"compute binary expreesion, left_input=2697, right_input=1678, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=732","layer":3},{"info":"compute binary expreesion, left_input=177, right_input=732, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=555","layer":2},{"info":"compute binary expreesion, left_input=-7096, right_input=555, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=-7096","layer":1},{"info":"compute binary expreesion, left_input=-7089, right_input=-7096, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=-7096","layer":0}],"base":7,"result_base":7,"text":"(⇾⩊⇾(≴∭⊉13110∺≝⩲≴∭⊉10451∛(≴∭⊉14006⪛⫼≴∭⊉30461)))∊∟⩊((≴∭⊉4414⋹⋡⊁≴∭⊉23665⇟⨁⪰)⫲≸⪮((⫖→≴∭⊉5140)⨳⩥⨓≴∭⊉10602⩍⋽⫝̸≴∭⊉4615))=≴∭⊉-26455","reverse_text":"≴∭⊉-26455=(⇾⩊⇾(≴∭⊉13110∺≝⩲≴∭⊉10451∛(≴∭⊉14006⪛⫼≴∭⊉30461)))∊∟⩊((≴∭⊉4414⋹⋡⊁≴∭⊉23665⇟⨁⪰)⫲≸⪮((⫖→≴∭⊉5140)⨳⩥⨓≴∭⊉10602⩍⋽⫝̸≴∭⊉4615))","cot":[{"info":"≴∭⊉13110∺≝⩲≴∭⊉10451=≴∭⊉316","layer":3},{"info":"≴∭⊉14006⪛⫼≴∭⊉30461=≴∭⊉2552","layer":3},{"info":"≴∭⊉316∛≴∭⊉2552=≴∭⊉124","layer":2},{"info":"⇾⩊⇾≴∭⊉124=≴∭⊉-26445","layer":1},{"info":"≴∭⊉4414⋹⋡⊁≴∭⊉23665=≴∭⊉26116","layer":3},{"info":"≴∭⊉26116⇟⨁⪰=≴∭⊉-26455","layer":2},{"info":"⫖→≴∭⊉5140=≴∭⊉342","layer":3},{"info":"≴∭⊉10602⩍⋽⫝̸≴∭⊉4615=≴∭⊉2064","layer":3},{"info":"≴∭⊉342⨳⩥⨓≴∭⊉2064=≴∭⊉1422","layer":2},{"info":"≴∭⊉-26455⫲≸⪮≴∭⊉1422=≴∭⊉-26455","layer":1},{"info":"≴∭⊉-26445∊∟⩊≴∭⊉-26455=≴∭⊉-26455","layer":0}]}
+{"id":372,"expression_no_base_symbol":"($1644$→⨶⪴$2242$∌↝($6454$≥⨤⩑$4696$))⪒⊣⊆(⇠$1728$⊱⇼⊻$2295$)↱(∥⊫(⪝⪂⫅($4053$%$3003$)))","expression":"(≴∭⊉4536→⨶⪴≴∭⊉6352∌↝(≴∭⊉24550≥⨤⩑≴∭⊉16456))⪒⊣⊆(⇠≴∭⊉5016⊱⇼⊻≴∭⊉6456)↱(∥⊫(⪝⪂⫅(≴∭⊉14550%≴∭⊉11520)))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":251,"operation_count":10,"complexity_ratio":25.1,"tree":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":1644,"base":7},"right_expr":{"type":"numeric_atoms","value":2242,"base":7}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":6454,"base":7},"right_expr":{"type":"numeric_atoms","value":4696,"base":7}}},"right_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":1728,"base":7},"right_expr":{"type":"numeric_atoms","value":2295,"base":7}}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":4053,"base":7},"right_expr":{"type":"numeric_atoms","value":3003,"base":7}}}}},"used_operators":["SR5kFfdi6N","eRqsBgTDFp","9Isq31Ruls","bF6eod5Gvf","gJLn6v0xnP","18saOjeKKm","FyVja0WsTP","P8v4zCKN1o","XTarYq4gQB","k8jYdgA6NY"],"dependent_operators":["k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","sdazOOVcIp","W4YGzv6Whe","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","8w2t5hMYqp","9FxExcQeMw","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z"],"result":"≴∭⊉64220","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1644","layer":4},{"info":"number node, value=2242","layer":4},{"info":"compute binary expreesion, left_input=1644, right_input=2242, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-6726","layer":3},{"info":"number node, value=6454","layer":4},{"info":"number node, value=4696","layer":4},{"info":"compute binary expreesion, left_input=6454, right_input=4696, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=-6726, right_input=1234, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴��145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=-3702","layer":2},{"info":"number node, value=1728","layer":4},{"info":"number node, value=2295","layer":4},{"info":"compute binary expreesion, left_input=1728, right_input=2295, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"compute unary expreesion, input=434, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-192","layer":2},{"info":"compute binary expreesion, left_input=-3702, right_input=-192, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=7122","layer":1},{"info":"number node, value=4053","layer":4},{"info":"number node, value=3003","layer":4},{"info":"compute binary expreesion, left_input=4053, right_input=3003, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1050","layer":3},{"info":"compute unary expreesion, input=1050, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-154350","layer":2},{"info":"compute unary expreesion, input=-154350, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=-55","layer":1},{"info":"compute binary expreesion, left_input=7122, right_input=-55, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=15890","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉4536→⨶⪴≴∭⊉6352∌↝(≴∭⊉24550≥⨤⩑≴∭⊉16456))⪒⊣⊆(⇠≴∭⊉5016⊱⇼⊻≴∭⊉6456)↱(∥⊫(⪝⪂⫅(≴∭⊉14550%≴∭⊉11520)))=≴∭⊉64220","reverse_text":"≴∭⊉64220=(≴∭⊉4536→⨶⪴≴∭⊉6352∌↝(≴∭⊉24550≥⨤⩑≴∭⊉16456))⪒⊣⊆(⇠≴∭⊉5016⊱⇼⊻≴∭⊉6456)↱(∥⊫(⪝⪂⫅(≴∭⊉14550%≴∭⊉11520)))","cot":[{"info":"≴∭⊉4536→⨶⪴≴∭⊉6352=≴∭⊉-25416","layer":3},{"info":"≴∭⊉24550≥⨤⩑≴∭⊉16456=≴∭⊉3412","layer":3},{"info":"≴∭⊉-25416∌↝≴∭⊉3412=≴∭⊉-13536","layer":2},{"info":"≴∭⊉5016⊱⇼⊻≴∭⊉6456=≴∭⊉1160","layer":3},{"info":"⇠≴∭⊉1160=≴∭⊉-363","layer":2},{"info":"≴∭⊉-13536⪒⊣⊆≴∭⊉-363=≴∭⊉26523","layer":1},{"info":"≴∭⊉14550%≴∭⊉11520=≴∭⊉3030","layer":3},{"info":"⪝⪂⫅≴∭⊉3030=≴∭⊉-1212000","layer":2},{"info":"∥⊫≴∭⊉-1212000=≴∭⊉-106","layer":1},{"info":"≴∭⊉26523↱≴∭⊉-106=≴∭⊉64220","layer":0}]}
+{"id":373,"expression_no_base_symbol":"(≀↧⇸(↡($5231$∙⊟$1034$)))⋥⋵⩄(($3111$⨂≜$5037$∷)↯⫤)","expression":"(≀↧⇸(↡(≴∭⊉21152∙⊟≴∭⊉3005)))⋥⋵⩄((≴∭⊉12033⨂≜≴∭⊉20454∷)↯⫤)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":8526,"operation_count":7,"complexity_ratio":1218.0,"tree":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":5231,"base":7},"right_expr":{"type":"numeric_atoms","value":1034,"base":7}}}},"right_expr":{"type":"unary","operator":"↯⫤","unary_expr":{"type":"unary","operator":"∷","unary_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":3111,"base":7},"right_expr":{"type":"numeric_atoms","value":5037,"base":7}}}}},"used_operators":["7t3wd0Fuz7","ljTHtUsqzn","MXaNJeIAZ3","SxTAKzQCrw","VwlE7vj6HS","nFAOW8KTqp","k1SHOSEABc"],"dependent_operators":["IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","XPYlsWDdGa","23Mk6UjR3U","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","W4YGzv6Whe","23Mk6UjR3U","tifHPKVTfV","glklzrTFfD","eH2TOUuTDT","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","g55IO6H4Gj","nCS4ZIUYfx","D4vGDi5EA2","t8gj7n24qd","2DDjHMKMc0","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5231","layer":4},{"info":"number node, value=1034","layer":4},{"info":"compute binary expreesion, left_input=5231, right_input=1034, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=77849","layer":3},{"info":"compute unary expreesion, input=77849, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=700641","layer":2},{"info":"compute unary expreesion, input=700641, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=1401282","layer":1},{"info":"number node, value=3111","layer":4},{"info":"number node, value=5037","layer":4},{"info":"compute binary expreesion, left_input=3111, right_input=5037, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = nFAOW8KTqp, unary_op_definition = 'a∷ = { ((-(a⋝⋈⪟a))≦≮≮) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = VwlE7vj6HS, unary_op_definition = 'a↯⫤ = { (((-a)⋝⋈⪟(a⨳⩥⨓a))⨸⪁((a⨁⊸⫻)⇼⇔∾(a+a))) , if (a⋷221)!=277 ; (((300⪐)⨁⊸⫻)⇼⇔∾(a≧⫂∧(26≧⫂∧87))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1401282, right_input=nan, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≀↧⇸(↡(≴∭⊉21152∙⊟≴∭⊉3005)))⋥⋵⩄((≴∭⊉12033⨂≜≴∭⊉20454∷)↯⫤)=NaN","reverse_text":"NaN=(≀↧⇸(↡(≴∭⊉21152∙⊟≴∭⊉3005)))⋥⋵⩄((≴∭⊉12033⨂≜≴∭⊉20454∷)↯⫤)","cot":[{"info":"≴∭⊉21152∙⊟≴∭⊉3005=≴∭⊉442652","layer":3},{"info":"↡≴∭⊉442652=≴∭⊉5645454","layer":2},{"info":"≀↧⇸≴∭⊉5645454=≴∭⊉14624241","layer":1},{"info":"≴∭⊉12033⨂≜≴∭⊉20454=NaN","layer":3},{"info":"NaN∷=NaN","layer":2},{"info":"NaN↯⫤=NaN","layer":1},{"info":"≴∭⊉14624241⋥⋵⩄NaN=NaN","layer":0}]}
+{"id":374,"expression_no_base_symbol":"(($1893$⇯⋐)⇮⋭$5912$⊴$4003$⫡⨏$1030$↺$2843$∷$2525$⫸⊐$1437$)*($1427$⇮⋭$1560$)⩇∃⫛$3939$⩌⋺$5204$+⇶⊼(≑⋹($1779$⫉⨲⊜$2932$))","expression":"((≴∭⊉5343⇯⋐)⇮⋭≴∭⊉23144⊴≴∭⊉14446⫡⨏≴∭⊉3001↺≴∭⊉11201∷≴∭⊉10235⫸⊐≴∭⊉4122)*(≴∭⊉4106⇮⋭≴∭⊉4356)⩇∃⫛≴∭⊉14325⩌⋺≴∭⊉21113+⇶⊼(≑⋹(≴∭⊉5121⫉⨲⊜≴∭⊉11356))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":9906,"operation_count":14,"complexity_ratio":707.5714285714286,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"unary","operator":"⇯⋐","unary_expr":{"type":"numeric_atoms","value":1893,"base":7}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":5912,"base":7},"right_expr":{"type":"numeric_atoms","value":4003,"base":7}}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1030,"base":7},"right_expr":{"type":"numeric_atoms","value":2843,"base":7}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2525,"base":7},"right_expr":{"type":"numeric_atoms","value":1437,"base":7}}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":1427,"base":7},"right_expr":{"type":"numeric_atoms","value":1560,"base":7}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":3939,"base":7},"right_expr":{"type":"numeric_atoms","value":5204,"base":7}}},"right_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":1779,"base":7},"right_expr":{"type":"numeric_atoms","value":2932,"base":7}}}}},"used_operators":["9HNa5Wba9A","QMFrweE19q","vkpjKywKVM","LkLIoiE525","Nsiff2A1zJ","D3AQDKkPcf","7j4O788W3g","mqXw5SEYmG","TpPTUOHfaN","1aApVXNlOP","g7Hmc5v1ko","6B9nyZLogK","WhqkvtTD3t"],"dependent_operators":["W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q","dWAJyo7jo9","14qkJME0vr","9FxExcQeMw","NTOWxs364D","7j4O788W3g","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","AHs5Up7iyr","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","eewbuw0ToL","zVYPLywUTj"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1893","layer":4},{"info":"compute unary expreesion, input=1893, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=6557","layer":3},{"info":"number node, value=5912","layer":4},{"info":"number node, value=4003","layer":4},{"info":"compute binary expreesion, left_input=5912, right_input=4003, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=6557, right_input=nan, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=nan","layer":2},{"info":"number node, value=1030","layer":4},{"info":"number node, value=2843","layer":4},{"info":"compute binary expreesion, left_input=1030, right_input=2843, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2843","layer":3},{"info":"number node, value=2525","layer":4},{"info":"number node, value=1437","layer":4},{"info":"compute binary expreesion, left_input=2525, right_input=1437, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=5623","layer":3},{"info":"compute binary expreesion, left_input=2843, right_input=5623, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=5623","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=5623, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":1},{"info":"number node, value=1427","layer":4},{"info":"number node, value=1560","layer":4},{"info":"compute binary expreesion, left_input=1427, right_input=1560, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"number node, value=3939","layer":4},{"info":"number node, value=5204","layer":4},{"info":"compute binary expreesion, left_input=3939, right_input=5204, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-9264","layer":3},{"info":"compute binary expreesion, left_input=-473, right_input=-9264, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=-473","layer":2},{"info":"number node, value=1779","layer":4},{"info":"number node, value=2932","layer":4},{"info":"compute binary expreesion, left_input=1779, right_input=2932, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=-694","layer":2},{"info":"compute binary expreesion, left_input=-473, right_input=-694, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉5343⇯⋐)⇮⋭≴∭⊉23144⊴≴∭⊉14446⫡⨏≴∭⊉3001↺≴∭⊉11201∷≴∭⊉10235⫸⊐≴∭⊉4122)*(≴∭⊉4106⇮⋭≴∭⊉4356)⩇∃⫛≴∭⊉14325⩌⋺≴∭⊉21113+⇶⊼(≑⋹(≴∭⊉5121⫉⨲⊜≴∭⊉11356))=NaN","reverse_text":"NaN=((≴∭⊉5343⇯⋐)⇮⋭≴∭⊉23144⊴≴∭⊉14446⫡⨏≴∭⊉3001↺≴∭⊉11201∷≴∭⊉10235⫸⊐≴∭⊉4122)*(≴∭⊉4106⇮⋭≴∭⊉4356)⩇∃⫛≴∭⊉14325⩌⋺≴∭⊉21113+⇶⊼(≑⋹(≴∭⊉5121⫉⨲⊜≴∭⊉11356))","cot":[{"info":"≴∭⊉5343⇯⋐=≴∭⊉25055","layer":3},{"info":"≴∭⊉23144⊴≴∭⊉14446=NaN","layer":3},{"info":"≴∭⊉25055⇮⋭NaN=NaN","layer":2},{"info":"≴∭⊉3001↺≴∭⊉11201=≴∭⊉11201","layer":3},{"info":"≴∭⊉10235⫸⊐≴∭⊉4122=≴∭⊉22252","layer":3},{"info":"≴∭⊉11201∷≴∭⊉22252=≴∭⊉22252","layer":2},{"info":"NaN⫡⨏≴∭⊉22252=NaN","layer":1},{"info":"≴∭⊉4106⇮⋭≴∭⊉4356=≴∭⊉-1244","layer":3},{"info":"≴∭⊉14325⩌⋺≴∭⊉21113=≴∭⊉-36003","layer":3},{"info":"≴∭⊉-1244⩇∃⫛≴∭⊉-36003=≴∭⊉-1244","layer":2},{"info":"≴∭⊉5121⫉⨲⊜≴∭⊉11356=≴∭⊉0","layer":3},{"info":"≑⋹≴∭⊉0=≴∭⊉-2011","layer":2},{"info":"≴∭⊉-1244+⇶⊼≴∭⊉-2011=NaN","layer":1},{"info":"NaN*NaN=NaN","layer":0}]}
+{"id":375,"expression_no_base_symbol":"(∤(≋($1028$⪶≀⋏$1703$)))≀⩗∶(∐⩳⋚((∂$3616$)⇴∐($1052$⫭)))","expression":"(∤(≋(≴∭⊉2666⪶≀⋏≴∭⊉4652)))≀⩗∶(∐⩳⋚((∂≴∭⊉13354)⇴∐(���∭⊉3032⫭)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":96,"operation_count":8,"complexity_ratio":12.0,"tree":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":1028,"base":7},"right_expr":{"type":"numeric_atoms","value":1703,"base":7}}}},"right_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":3616,"base":7}},"right_expr":{"type":"unary","operator":"⫭","unary_expr":{"type":"numeric_atoms","value":1052,"base":7}}}}},"used_operators":["8INZBEW696","k2HlF1dBQh","61wBmkZwlr","zR4jO40bMj","SL6IHkK8vl","HnzytWxmAO","Uaa54Peajs","t4WUHVGj7f"],"dependent_operators":["KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","7j4O788W3g","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","NTOWxs364D","2DDjHMKMc0","xUOZtlo3hN","g55IO6H4Gj"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1028","layer":4},{"info":"number node, value=1703","layer":4},{"info":"compute binary expreesion, left_input=1028, right_input=1703, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-6722","layer":3},{"info":"compute unary expreesion, input=-6722, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=-6722","layer":2},{"info":"compute unary expreesion, input=-6722, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":1},{"info":"number node, value=3616","layer":4},{"info":"compute unary expreesion, input=3616, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"number node, value=1052","layer":4},{"info":"compute unary expreesion, input=1052, op_id = t4WUHVGj7f, unary_op_definition = 'a⫭ = { (⨞⊢((a⨸⪁147)⩚⊴⇥(a⋝⋈⪟a))) }', output=3397","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3397, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=9, right_input=nan, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(∤(≋(≴∭⊉2666⪶≀⋏≴∭⊉4652)))≀⩗∶(∐⩳⋚((∂≴∭⊉13354)⇴∐(≴∭⊉3032⫭)))=NaN","reverse_text":"NaN=(∤(≋(≴∭⊉2666⪶≀⋏≴∭⊉4652)))≀⩗∶(∐⩳⋚((∂≴∭⊉13354)⇴∐(≴∭⊉3032⫭)))","cot":[{"info":"≴∭⊉2666⪶≀⋏≴∭⊉4652=≴∭⊉-25412","layer":3},{"info":"≋≴∭⊉-25412=≴∭⊉-25412","layer":2},{"info":"∤≴∭⊉-25412=≴∭⊉12","layer":1},{"info":"∂≴∭⊉13354=NaN","layer":3},{"info":"≴∭⊉3032⫭=≴∭⊉12622","layer":3},{"info":"NaN⇴∐≴∭⊉12622=NaN","layer":2},{"info":"∐⩳⋚NaN=NaN","layer":1},{"info":"≴∭⊉12≀⩗∶NaN=NaN","layer":0}]}
+{"id":376,"expression_no_base_symbol":"$4035$∊∟⩊$3470$≧⫂∧(⫓⪴$3680$)⇄(($6932$⫔⩽⩺$5451$)⇄($3190$⊿∆))≬⋮($1218$⪚$1789$)⋹⋡⊁$2379$⊕∕$3926$⫘(($1364$⋝⋈⪟$1506$)⊝⪿⪼($6131$⪹))","expression":"≴∭⊉14523∊∟⩊≴∭⊉13055≧⫂∧(⫓⪴≴∭⊉13505)⇄((≴∭⊉26132⫔⩽⩺≴∭⊉21615)⇄(≴∭⊉12205⊿∆))≬⋮(≴∭⊉3360⪚≴∭⊉5134)⋹⋡⊁≴∭⊉6636⊕∕≴∭⊉14306⫘((≴∭⊉3656⋝⋈⪟≴∭⊉4251)⊝⪿⪼(≴∭⊉23606⪹))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":69680,"operation_count":15,"complexity_ratio":4645.333333333333,"tree":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":4035,"base":7},"right_expr":{"type":"numeric_atoms","value":3470,"base":7}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":3680,"base":7}}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":6932,"base":7},"right_expr":{"type":"numeric_atoms","value":5451,"base":7}},"right_expr":{"type":"unary","operator":"⊿∆","unary_expr":{"type":"numeric_atoms","value":3190,"base":7}}}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":1218,"base":7},"right_expr":{"type":"numeric_atoms","value":1789,"base":7}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":2379,"base":7},"right_expr":{"type":"numeric_atoms","value":3926,"base":7}}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1364,"base":7},"right_expr":{"type":"numeric_atoms","value":1506,"base":7}},"right_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":6131,"base":7}}}}},"used_operators":["kbkesczE7y","3EYGwJThht","Ph9nP6C5qx","ddLRYrp01A","eLxqMNBOBk","i9eR4S00cU","fv3ZujxkQL","48vC8HMD2b","As8RqfVLgs","HrjLwUk87U","9cloC0Ngie","3Oe9XWJUTD","2DDjHMKMc0","B3sABdIn96"],"dependent_operators":["P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","rysDP5nf3Z","t8gj7n24qd","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","9HNa5Wba9A","Tw270M8GLb","fu6greOZ01","NTOWxs364D","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","e1ybzncUwg","QMFrweE19q"],"result":"≴∭⊉2350","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4035","layer":4},{"info":"number node, value=3470","layer":4},{"info":"compute binary expreesion, left_input=4035, right_input=3470, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=3470","layer":3},{"info":"number node, value=3680","layer":4},{"info":"compute unary expreesion, input=3680, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=13542400","layer":3},{"info":"compute binary expreesion, left_input=3470, right_input=13542400, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=13541927","layer":2},{"info":"number node, value=6932","layer":4},{"info":"number node, value=5451","layer":4},{"info":"compute binary expreesion, left_input=6932, right_input=5451, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"number node, value=3190","layer":4},{"info":"compute unary expreesion, input=3190, op_id = fv3ZujxkQL, unary_op_definition = 'a⊿∆ = { (a⩚⊴⇥a) }', output=-6501","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-6501, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=13541927, right_input=nan, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":1},{"info":"number node, value=1218","layer":4},{"info":"number node, value=1789","layer":4},{"info":"compute binary expreesion, left_input=1218, right_input=1789, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-1498","layer":3},{"info":"number node, value=2379","layer":4},{"info":"number node, value=3926","layer":4},{"info":"compute binary expreesion, left_input=2379, right_input=3926, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=2379","layer":3},{"info":"compute binary expreesion, left_input=-1498, right_input=2379, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=3129","layer":2},{"info":"number node, value=1364","layer":4},{"info":"number node, value=1506","layer":4},{"info":"compute binary expreesion, left_input=1364, right_input=1506, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1364","layer":3},{"info":"number node, value=6131","layer":4},{"info":"compute unary expreesion, input=6131, op_id = B3sABdIn96, unary_op_definition = 'a⪹ = { ((402⫡⨏a)⩷∴(≉a)) }', output=16754","layer":3},{"info":"compute binary expreesion, left_input=1364, right_input=16754, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=30392","layer":2},{"info":"compute binary expreesion, left_input=3129, right_input=30392, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=3684109","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=3684109, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉14523∊∟⩊≴∭⊉13055≧⫂∧(⫓⪴≴∭⊉13505)⇄((≴∭⊉26132⫔⩽⩺≴∭⊉21615)⇄(≴∭⊉12205⊿∆))≬⋮(≴∭⊉3360⪚≴∭⊉5134)⋹⋡⊁≴∭⊉6636⊕∕≴∭⊉14306⫘((≴∭⊉3656⋝⋈⪟≴∭⊉4251)⊝⪿⪼(≴∭⊉23606⪹))=≴∭⊉2350","reverse_text":"≴∭⊉2350=≴∭⊉14523∊∟⩊≴∭⊉13055≧⫂∧(⫓⪴≴∭⊉13505)⇄((≴∭⊉26132⫔⩽⩺≴∭⊉21615)⇄(≴∭⊉12205⊿∆))≬⋮(≴∭⊉3360⪚≴∭⊉5134)⋹⋡⊁≴∭⊉6636⊕∕≴∭⊉14306⫘((≴∭⊉3656⋝⋈⪟≴∭⊉4251)⊝⪿⪼(≴∭⊉23606⪹))","cot":[{"info":"≴∭⊉14523∊∟⩊≴∭⊉13055=≴∭⊉13055","layer":3},{"info":"⫓⪴≴∭⊉13505=≴∭⊉223052134","layer":3},{"info":"≴∭⊉13055≧⫂∧≴∭⊉223052134=≴∭⊉223050560","layer":2},{"info":"≴∭⊉26132⫔⩽⩺≴∭⊉21615=NaN","layer":3},{"info":"≴∭⊉12205⊿∆=≴∭⊉-24645","layer":3},{"info":"NaN⇄≴∭⊉-24645=NaN","layer":2},{"info":"≴∭⊉223050560⇄NaN=≴∭⊉0","layer":1},{"info":"≴∭⊉3360⪚≴∭⊉5134=≴∭⊉-4240","layer":3},{"info":"≴∭⊉6636⊕∕≴∭⊉14306=≴∭⊉6636","layer":3},{"info":"≴∭⊉-4240⋹⋡⊁≴∭⊉6636=≴∭⊉12060","layer":2},{"info":"≴∭⊉3656⋝⋈⪟≴∭⊉4251=≴∭⊉3656","layer":3},{"info":"≴∭⊉23606⪹=≴∭⊉66563","layer":3},{"info":"≴∭⊉3656⊝⪿⪼≴∭⊉66563=≴∭⊉154415","layer":2},{"info":"≴∭⊉12060⫘≴∭⊉154415=≴∭⊉43212562","layer":1},{"info":"≴∭⊉0≬⋮≴∭⊉43212562=≴∭⊉2350","layer":0}]}
+{"id":377,"expression_no_base_symbol":"(≪(($6426$⊪)∋($7923$⫔⩽⩺$5165$)))≎⪠(⩦⩻⨪($5958$∛$1312$⩵∡$4366$⨔⇊$1543$))","expression":"(≪((≴∭⊉24510⊪)∋(≴∭⊉32046⫔⩽⩺≴∭⊉21026)))≎⪠(⩦⩻⨪(≴∭⊉23241∛≴∭⊉3553⩵∡≴∭⊉15505⨔⇊≴∭⊉4333))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":19330,"operation_count":9,"complexity_ratio":2147.777777777778,"tree":{"type":"binary","operator":"≎⪠","left_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"binary","operator":"∋","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":6426,"base":7}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":7923,"base":7},"right_expr":{"type":"numeric_atoms","value":5165,"base":7}}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":5958,"base":7},"right_expr":{"type":"numeric_atoms","value":1312,"base":7}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":4366,"base":7},"right_expr":{"type":"numeric_atoms","value":1543,"base":7}}}}},"used_operators":["aNhz54LH3e","Qtd6bqUJcN","ukq6epAj5P","zVYPLywUTj","i9eR4S00cU","2td37pGCOC","Y7wcNGrDQJ","w2537kitQq","JclMnS0uGI"],"dependent_operators":["bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","Tw270M8GLb","fu6greOZ01","rysDP5nf3Z","t8gj7n24qd","NTOWxs364D","glklzrTFfD","tifHPKVTfV","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI"],"result":"≴∭⊉111010","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=6426","layer":4},{"info":"compute unary expreesion, input=6426, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":3},{"info":"number node, value=7923","layer":4},{"info":"number node, value=5165","layer":4},{"info":"compute binary expreesion, left_input=7923, right_input=5165, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=-54624","layer":2},{"info":"compute unary expreesion, input=-54624, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=655359","layer":1},{"info":"number node, value=5958","layer":4},{"info":"number node, value=1312","layer":4},{"info":"compute binary expreesion, left_input=5958, right_input=1312, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":3},{"info":"number node, value=4366","layer":4},{"info":"number node, value=1543","layer":4},{"info":"compute binary expreesion, left_input=4366, right_input=1543, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=1543","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=1543, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=1288","layer":2},{"info":"compute unary expreesion, input=1288, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1288","layer":1},{"info":"compute binary expreesion, left_input=655359, right_input=1288, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":0}],"base":7,"result_base":7,"text":"(≪((≴∭⊉24510⊪)∋(≴∭⊉32046⫔⩽⩺≴∭⊉21026)))≎⪠(⩦⩻⨪(≴∭⊉23241∛≴∭⊉3553⩵∡≴∭⊉15505⨔⇊≴∭⊉4333))=≴∭⊉111010","reverse_text":"≴∭⊉111010=(≪((≴∭⊉24510⊪)∋(≴∭⊉32046⫔⩽⩺≴∭⊉21026)))≎⪠(⩦⩻⨪(≴∭⊉23241∛≴∭⊉3553⩵∡≴∭⊉15505⨔⇊≴∭⊉4333))","cot":[{"info":"≴∭⊉24510⊪=≴∭⊉0","layer":3},{"info":"≴∭⊉32046⫔⩽⩺≴∭⊉21026=NaN","layer":3},{"info":"≴∭⊉0∋NaN=≴∭⊉-315153","layer":2},{"info":"≪≴∭⊉-315153=≴∭⊉5366445","layer":1},{"info":"≴∭⊉23241∛≴∭⊉3553=≴∭⊉124","layer":3},{"info":"≴∭⊉15505⨔⇊≴∭⊉4333=≴∭⊉4333","layer":3},{"info":"≴∭⊉124⩵∡≴∭⊉4333=≴∭⊉3520","layer":2},{"info":"⩦⩻⨪≴∭⊉3520=≴∭⊉3520","layer":1},{"info":"≴∭⊉5366445≎⪠≴∭⊉3520=≴∭⊉111010","layer":0}]}
+{"id":378,"expression_no_base_symbol":"($4269$⪮%⊝$1979$⪛($4199$⨎$2285$)⊭∹↮)∙⊟(∥⊫(⊁⨺$5828$))⪍↜⋙($1396$∓⋝$7635$)⋕⪉⪜($1108$≦≮≮)","expression":"(≴∭⊉15306⪮%⊝≴∭⊉5525⪛(≴∭⊉15146⨎≴∭⊉6443)⊭∹↮)∙⊟(∥⊫(⊁⨺≴∭⊉22664))⪍↜⋙(≴∭⊉4033∓⋝≴∭⊉31155)⋕⪉⪜(≴∭⊉3142≦≮≮)","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4194,"operation_count":11,"complexity_ratio":381.27272727272725,"tree":{"type":"binary","operator":"∙⊟","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":4269,"base":7},"right_expr":{"type":"numeric_atoms","value":1979,"base":7}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":4199,"base":7},"right_expr":{"type":"numeric_atoms","value":2285,"base":7}}}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"numeric_atoms","value":5828,"base":7}}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":1396,"base":7},"right_expr":{"type":"numeric_atoms","value":7635,"base":7}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":1108,"base":7}}}}},"used_operators":["SxTAKzQCrw","xNBdhnnwKq","uFcxV4UQCh","IWmyXbctLI","rJVOvQCfKK","L05ObWFQCd","P8v4zCKN1o","PxiHyQbrIp","z6LnFrNh4i","PoHhknlbAi","D4vGDi5EA2"],"dependent_operators":["6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","W4YGzv6Whe","t8gj7n24qd"],"result":"≴∭⊉345143","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4269","layer":4},{"info":"number node, value=1979","layer":4},{"info":"compute binary expreesion, left_input=4269, right_input=1979, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=8854","layer":3},{"info":"number node, value=4199","layer":4},{"info":"number node, value=2285","layer":4},{"info":"compute binary expreesion, left_input=4199, right_input=2285, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2285","layer":3},{"info":"compute binary expreesion, left_input=8854, right_input=2285, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1999","layer":2},{"info":"compute unary expreesion, input=1999, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=3998","layer":1},{"info":"number node, value=5828","layer":4},{"info":"compute unary expreesion, input=5828, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=1028","layer":2},{"info":"number node, value=1396","layer":4},{"info":"number node, value=7635","layer":4},{"info":"compute binary expreesion, left_input=1396, right_input=7635, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"number node, value=1108","layer":4},{"info":"compute unary expreesion, input=1108, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-3324","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=-3324, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":2},{"info":"compute binary expreesion, left_input=1028, right_input=2802, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-11527","layer":1},{"info":"compute binary expreesion, left_input=3998, right_input=-11527, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=61820","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉15306⪮%⊝≴∭⊉5525⪛(≴∭⊉15146⨎≴∭⊉6443)⊭∹↮)∙⊟(∥⊫(⊁⨺≴∭⊉22664))⪍↜⋙(≴∭⊉4033∓⋝≴∭⊉31155)⋕⪉⪜(≴∭⊉3142≦≮≮)=≴∭⊉345143","reverse_text":"≴∭⊉345143=(≴∭⊉15306⪮%⊝≴∭⊉5525⪛(≴∭⊉15146⨎≴∭⊉6443)⊭∹↮)∙⊟(∥⊫(⊁⨺≴∭⊉22664))⪍↜⋙(≴∭⊉4033∓⋝≴∭⊉31155)⋕⪉⪜(≴∭⊉3142≦≮≮)","cot":[{"info":"≴∭⊉15306⪮%⊝≴∭⊉5525=≴∭⊉34546","layer":3},{"info":"≴∭⊉15146⨎≴∭⊉6443=≴∭⊉6443","layer":3},{"info":"≴∭⊉34546⪛≴∭⊉6443=≴∭⊉5554","layer":2},{"info":"≴∭⊉5554⊭∹↮=≴∭⊉14441","layer":1},{"info":"⊁⨺≴∭⊉22664=≴∭⊉316","layer":3},{"info":"∥⊫≴∭⊉316=≴∭⊉2666","layer":2},{"info":"≴∭⊉4033∓⋝≴∭⊉31155=≴∭⊉124","layer":3},{"info":"≴∭⊉3142≦≮≮=≴∭⊉-12456","layer":3},{"info":"≴∭⊉124⋕⪉⪜≴∭⊉-12456=≴∭⊉11112","layer":2},{"info":"≴∭⊉2666⪍↜⋙≴∭⊉11112=≴∭⊉-45415","layer":1},{"info":"≴∭⊉14441∙⊟≴∭⊉-45415=≴∭⊉345143","layer":0}]}
+{"id":379,"expression_no_base_symbol":"(($2345$⨪↰⇹$6002$⋥≓≎(∂⩏⊆$4702$))⇴∐($2772$∘$3039$)⨿($1536$⫉⨲⊜$4423$))⩁⩘((⊖∈$2440$⪢$7221$)⇼⇔∾($4954$⨔≚≋$1337$)⊢($1164$⪇≇⋚$5792$))","expression":"((≴∭⊉6560⨪↰⇹≴∭⊉23333⋥≓≎(∂⩏⊆≴∭⊉16465))⇴∐(≴∭⊉11040∘≴∭⊉11601)⨿(≴∭⊉4323⫉⨲⊜≴∭⊉15616))⩁⩘((⊖∈≴∭⊉10054⪢≴∭⊉30024)⇼⇔∾(≴∭⊉20305⨔≚≋≴∭⊉3620)⊢(≴∭⊉3252⪇≇⋚≴∭⊉22613))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":111758,"operation_count":14,"complexity_ratio":7982.714285714285,"tree":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2345,"base":7},"right_expr":{"type":"numeric_atoms","value":6002,"base":7}},"right_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"numeric_atoms","value":4702,"base":7}}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":2772,"base":7},"right_expr":{"type":"numeric_atoms","value":3039,"base":7}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":1536,"base":7},"right_expr":{"type":"numeric_atoms","value":4423,"base":7}}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2440,"base":7},"right_expr":{"type":"numeric_atoms","value":7221,"base":7}}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":4954,"base":7},"right_expr":{"type":"numeric_atoms","value":1337,"base":7}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":1164,"base":7},"right_expr":{"type":"numeric_atoms","value":5792,"base":7}}}}},"used_operators":["gub5Cegaqo","HnzytWxmAO","Qy55tPpLXF","tmPS8pqC7x","8WDwsbhb0R","abYXlopdE0","Z5m6OM72h2","WhqkvtTD3t","tifHPKVTfV","YFxL8Sc2Zy","dWAJyo7jo9","5twsqlHp2o","Z57zeUYC9z","3sJ7IOPOlU"],"dependent_operators":["DpFCA1CohY","IWmyXbctLI","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","14qkJME0vr","eLAdDNolq6","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","eH2TOUuTDT","rysDP5nf3Z","eewbuw0ToL","zVYPLywUTj","rysDP5nf3Z","t8gj7n24qd","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","k8jYdgA6NY","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2345","layer":4},{"info":"number node, value=6002","layer":4},{"info":"compute binary expreesion, left_input=2345, right_input=6002, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2345","layer":3},{"info":"number node, value=4702","layer":4},{"info":"compute unary expreesion, input=4702, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-14185","layer":3},{"info":"compute binary expreesion, left_input=2345, right_input=-14185, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-30682","layer":2},{"info":"number node, value=2772","layer":4},{"info":"number node, value=3039","layer":4},{"info":"compute binary expreesion, left_input=2772, right_input=3039, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=5544","layer":3},{"info":"number node, value=1536","layer":4},{"info":"number node, value=4423","layer":4},{"info":"compute binary expreesion, left_input=1536, right_input=4423, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=5544, right_input=0, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":2},{"info":"compute binary expreesion, left_input=-30682, right_input=-319, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=-116","layer":1},{"info":"number node, value=2440","layer":4},{"info":"number node, value=7221","layer":4},{"info":"compute binary expreesion, left_input=2440, right_input=7221, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=nan","layer":2},{"info":"number node, value=4954","layer":4},{"info":"number node, value=1337","layer":4},{"info":"compute binary expreesion, left_input=4954, right_input=1337, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"number node, value=1164","layer":4},{"info":"number node, value=5792","layer":4},{"info":"compute binary expreesion, left_input=1164, right_input=5792, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=9872, right_input=0, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-19988","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-19988, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-116, right_input=nan, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉6560���↰⇹≴∭⊉23333⋥≓≎(∂⩏⊆≴∭⊉16465))⇴∐(≴∭⊉11040∘≴∭⊉11601)⨿(≴∭⊉4323⫉⨲⊜≴∭⊉15616))⩁⩘((⊖∈≴∭⊉10054⪢≴∭⊉30024)⇼⇔∾(≴∭⊉20305⨔≚≋≴∭⊉3620)⊢(≴∭⊉3252⪇≇⋚≴∭⊉22613))=NaN","reverse_text":"NaN=((≴∭⊉6560⨪↰⇹≴∭⊉23333⋥≓≎(∂⩏⊆≴∭⊉16465))⇴∐(≴∭⊉11040∘≴∭⊉11601)⨿(≴∭⊉4323⫉⨲⊜≴∭⊉15616))⩁⩘((⊖∈≴∭⊉10054⪢≴∭⊉30024)⇼⇔∾(≴∭⊉20305⨔≚≋≴∭⊉3620)⊢(≴∭⊉3252⪇≇⋚≴∭⊉22613))","cot":[{"info":"≴∭⊉6560⨪↰⇹≴∭⊉23333=≴∭⊉6560","layer":3},{"info":"∂⩏⊆≴∭⊉16465=≴∭⊉-56233","layer":3},{"info":"≴∭⊉6560⋥≓≎≴∭⊉-56233=≴∭⊉-155311","layer":2},{"info":"≴∭⊉11040∘≴∭⊉11601=≴∭⊉22110","layer":3},{"info":"≴∭⊉4323⫉⨲⊜≴∭⊉15616=≴∭⊉0","layer":3},{"info":"≴∭⊉22110⨿≴∭⊉0=≴∭⊉-634","layer":2},{"info":"≴∭⊉-155311⇴∐≴∭⊉-634=≴∭⊉-224","layer":1},{"info":"≴∭⊉10054⪢≴∭⊉30024=NaN","layer":3},{"info":"⊖∈NaN=NaN","layer":2},{"info":"≴∭⊉20305⨔≚≋≴∭⊉3620=≴∭⊉40532","layer":3},{"info":"≴∭⊉3252⪇≇⋚≴∭⊉22613=≴∭⊉0","layer":3},{"info":"≴∭⊉40532⊢≴∭⊉0=≴∭⊉-112163","layer":2},{"info":"NaN⇼⇔∾≴∭⊉-112163=NaN","layer":1},{"info":"≴∭⊉-224⩁⩘NaN=NaN","layer":0}]}
+{"id":380,"expression_no_base_symbol":"(($4277$⨐⩸⫘$4923$)∋(⇨$3925$)∣((⇉-⫰$1360$)⪡($7357$∷$3874$)))⋛(($4332$⫣⪄⊒$2009$+$4174$⩣⫁∢$5658$)⇣⩺⋵((⪁⇼$4817$)⋐⇩⊬))","expression":"((≴∭⊉15320⨐⩸⫘≴∭⊉20232)∋(⇨≴∭⊉14305)∣((⇉-⫰≴∭⊉3652)⪡(≴∭⊉30310∷≴∭⊉14203)))⋛((≴∭⊉15426⫣⪄⊒≴∭⊉5600+≴∭⊉15112⩣⫁∢≴∭⊉22332)⇣⩺⋵((⪁⇼≴∭⊉20021)⋐⇩⊬))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":217,"operation_count":14,"complexity_ratio":15.5,"tree":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":4277,"base":7},"right_expr":{"type":"numeric_atoms","value":4923,"base":7}},"right_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"numeric_atoms","value":3925,"base":7}}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"numeric_atoms","value":1360,"base":7}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":7357,"base":7},"right_expr":{"type":"numeric_atoms","value":3874,"base":7}}}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":4332,"base":7},"right_expr":{"type":"numeric_atoms","value":2009,"base":7}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":4174,"base":7},"right_expr":{"type":"numeric_atoms","value":5658,"base":7}}},"right_expr":{"type":"unary","operator":"⋐⇩⊬","unary_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"numeric_atoms","value":4817,"base":7}}}}},"used_operators":["YbUVn0Rbpy","PPChnnnBFF","ukq6epAj5P","fu6greOZ01","G9tJMlZ94a","oraRL2iQuh","IGFM8TAlm9","D3AQDKkPcf","F4yD0voBRQ","W4YGzv6Whe","RabNbG55vr","JDUIKTTSIa","JuuLT1NoCs","ZNVVrZ94lY"],"dependent_operators":["d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","3ViojmjbAp","k8jYdgA6NY","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","eH2TOUuTDT","eewbuw0ToL","9FxExcQeMw","NTOWxs364D","7j4O788W3g","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","mp7IySMOzn","JclMnS0uGI","ddLRYrp01A","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV"],"result":"≴∭⊉-1150620","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4277","layer":4},{"info":"number node, value=4923","layer":4},{"info":"compute binary expreesion, left_input=4277, right_input=4923, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=3925","layer":4},{"info":"compute unary expreesion, input=3925, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=nan","layer":2},{"info":"number node, value=1360","layer":4},{"info":"compute unary expreesion, input=1360, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":3},{"info":"number node, value=7357","layer":4},{"info":"number node, value=3874","layer":4},{"info":"compute binary expreesion, left_input=7357, right_input=3874, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=3874","layer":3},{"info":"compute binary expreesion, left_input=20, right_input=3874, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=-1856","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1856, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=nan","layer":1},{"info":"number node, value=4332","layer":4},{"info":"number node, value=2009","layer":4},{"info":"compute binary expreesion, left_input=4332, right_input=2009, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-3902","layer":3},{"info":"number node, value=4174","layer":4},{"info":"number node, value=5658","layer":4},{"info":"compute binary expreesion, left_input=4174, right_input=5658, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-8187","layer":3},{"info":"compute binary expreesion, left_input=-3902, right_input=-8187, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-12089","layer":2},{"info":"number node, value=4817","layer":4},{"info":"compute unary expreesion, input=4817, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":3},{"info":"compute unary expreesion, input=422, op_id = JuuLT1NoCs, unary_op_definition = 'a⋐⇩⊬ = { (a⨔⇊a) , if (a∊∟⩊189)<=582 ; (a⇷a) , else }', output=422","layer":2},{"info":"compute binary expreesion, left_input=-12089, right_input=422, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-49138","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-49138, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-146769","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉15320⨐⩸⫘≴∭⊉20232)∋(⇨≴∭⊉14305)∣((⇉-⫰≴∭⊉3652)⪡(≴∭⊉30310∷≴∭⊉14203)))⋛((≴∭⊉15426⫣⪄⊒≴∭⊉5600+≴∭⊉15112⩣⫁∢≴∭⊉22332)⇣⩺⋵((⪁⇼≴∭⊉20021)⋐⇩⊬))=≴∭⊉-1150620","reverse_text":"≴∭⊉-1150620=((≴∭⊉15320⨐⩸⫘≴∭⊉20232)∋(⇨≴∭⊉14305)∣((⇉-⫰≴∭⊉3652)⪡(≴∭⊉30310∷≴∭⊉14203)))⋛((≴∭⊉15426⫣⪄⊒≴∭⊉5600+≴∭⊉15112⩣⫁∢≴∭⊉22332)⇣⩺⋵((⪁⇼≴∭⊉20021)⋐⇩⊬))","cot":[{"info":"≴∭⊉15320⨐⩸⫘≴∭⊉20232=NaN","layer":3},{"info":"⇨≴∭⊉14305=≴∭⊉0","layer":3},{"info":"NaN∋≴∭⊉0=NaN","layer":2},{"info":"⇉-⫰≴∭⊉3652=≴∭⊉26","layer":3},{"info":"≴∭⊉30310∷≴∭⊉14203=≴∭⊉14203","layer":3},{"info":"≴∭⊉26⪡≴∭⊉14203=≴∭⊉-5261","layer":2},{"info":"NaN∣≴∭⊉-5261=NaN","layer":1},{"info":"≴∭⊉15426⫣⪄⊒≴∭⊉5600=≴∭⊉-14243","layer":3},{"info":"≴∭⊉15112⩣⫁∢≴∭⊉22332=≴∭⊉-32604","layer":3},{"info":"≴∭⊉-14243+≴∭⊉-32604=≴∭⊉-50150","layer":2},{"info":"⪁⇼≴∭⊉20021=≴∭⊉1142","layer":3},{"info":"≴∭⊉1142⋐⇩⊬=≴∭⊉1142","layer":2},{"info":"≴∭⊉-50150⇣⩺⋵≴∭⊉1142=≴∭⊉-263155","layer":1},{"info":"NaN⋛≴∭⊉-263155=≴∭⊉-1150620","layer":0}]}
+{"id":381,"expression_no_base_symbol":"(⋃($9223$⫳≱↱$1115$))⊹∫⫚(⪭⩑⪱(⨭⩧⫛$3693$))⩺⪪(⊑((⋂$3175$)⫠↝⫳))","expression":"(⋃(≴∭⊉35614⫳≱↱≴∭⊉3152))⊹∫⫚(⪭⩑⪱(⨭⩧⫛≴∭⊉13524))⩺⪪(⊑((⋂≴∭⊉12154)⫠↝⫳))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":85373,"operation_count":9,"complexity_ratio":9485.888888888889,"tree":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":9223,"base":7},"right_expr":{"type":"numeric_atoms","value":1115,"base":7}}},"right_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"numeric_atoms","value":3693,"base":7}}}},"right_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"unary","operator":"⫠↝⫳","unary_expr":{"type":"unary","operator":"⋂","unary_expr":{"type":"numeric_atoms","value":3175,"base":7}}}}},"used_operators":["uvdQJvN4PV","uWAJUKEvyW","3mBM5G4a3l","ZvLB05nZmT","SIgE0bArFf","g21JL6JxX7","IkUmn0D7oy","8n5YIzOsVS","BUOGQAYlQx"],"dependent_operators":["Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","g55IO6H4Gj","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","9FxExcQeMw","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C"],"result":"≴∭⊉-56605","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=9223","layer":4},{"info":"number node, value=1115","layer":4},{"info":"compute binary expreesion, left_input=9223, right_input=1115, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"compute unary expreesion, input=-204, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=-306","layer":2},{"info":"number node, value=3693","layer":4},{"info":"compute unary expreesion, input=3693, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":2},{"info":"compute binary expreesion, left_input=-306, right_input=8320752, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=0","layer":1},{"info":"number node, value=3175","layer":4},{"info":"compute unary expreesion, input=3175, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=-43854","layer":3},{"info":"compute unary expreesion, input=-43854, op_id = 8n5YIzOsVS, unary_op_definition = 'a⫠↝⫳ = { (((a⨸⪁a)⩷∴(⩦⩻⨪a))⫡⨏a) }', output=-1402705","layer":2},{"info":"compute unary expreesion, input=-1402705, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=192, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-14362","layer":0}],"base":7,"result_base":7,"text":"(⋃(≴∭⊉35614⫳≱↱≴∭⊉3152))⊹∫⫚(⪭⩑⪱(⨭⩧⫛≴∭⊉13524))⩺⪪(⊑((⋂≴∭⊉12154)⫠↝⫳))=≴∭⊉-56605","reverse_text":"≴∭⊉-56605=(⋃(≴∭⊉35614⫳≱↱≴∭⊉3152))⊹∫⫚(⪭⩑⪱(⨭⩧⫛≴∭⊉13524))⩺⪪(⊑((⋂≴∭⊉12154)⫠↝⫳))","cot":[{"info":"≴∭⊉35614⫳≱↱≴∭⊉3152=≴∭⊉-411","layer":3},{"info":"⋃≴∭⊉-411=≴∭⊉-615","layer":2},{"info":"⨭⩧⫛≴∭⊉13524=NaN","layer":3},{"info":"⪭⩑⪱NaN=≴∭⊉130503516","layer":2},{"info":"≴∭⊉-615⊹∫⫚≴∭⊉130503516=≴∭⊉0","layer":1},{"info":"⋂≴∭⊉12154=≴∭⊉-241566","layer":3},{"info":"≴∭⊉-241566⫠↝⫳=≴∭⊉-14631343","layer":2},{"info":"⊑≴∭⊉-14631343=≴∭⊉363","layer":1},{"info":"≴∭⊉0⩺⪪≴∭⊉363=≴∭⊉-56605","layer":0}]}
+{"id":382,"expression_no_base_symbol":"($7193$≴⪞⇿$1743$⪨≂(⊥$1167$))⨽($3682$⪁$7849$)⋣⋖($4271$⪨⊡$8519$)⪒(⫇(($4029$∷)⪮%⊝($1861$⋅⇍$1047$)))","expression":"(≴∭⊉26654≴⪞⇿≴∭⊉5040⪨≂(⊥≴∭⊉3255))⨽(≴∭⊉13510⪁≴∭⊉31612)⋣⋖(≴∭⊉15311⪨⊡≴∭⊉33560)⪒(⫇((≴∭⊉14514∷)⪮%⊝(≴∭⊉5266⋅⇍≴∭⊉3024)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":18591,"operation_count":12,"complexity_ratio":1549.25,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":7193,"base":7},"right_expr":{"type":"numeric_atoms","value":1743,"base":7}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1167,"base":7}}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":3682,"base":7},"right_expr":{"type":"numeric_atoms","value":7849,"base":7}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":4271,"base":7},"right_expr":{"type":"numeric_atoms","value":8519,"base":7}}}},"right_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"∷","unary_expr":{"type":"numeric_atoms","value":4029,"base":7}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":1861,"base":7},"right_expr":{"type":"numeric_atoms","value":1047,"base":7}}}}},"used_operators":["f6k1SAg4EE","8HhzD0ZcuI","sdazOOVcIp","lvlrscuwVU","Q3PJZHRvZv","J0M6qkBnIM","I7sXao9hZE","kuIXHzHcAH","YjI8oCXuph","IWmyXbctLI","nFAOW8KTqp","AdZkA7nFnk"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","fu6greOZ01","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","D4vGDi5EA2","t8gj7n24qd","2DDjHMKMc0","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=7193","layer":4},{"info":"number node, value=1743","layer":4},{"info":"compute binary expreesion, left_input=7193, right_input=1743, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=95773034","layer":3},{"info":"number node, value=1167","layer":4},{"info":"compute unary expreesion, input=1167, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=95773034, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":2},{"info":"number node, value=3682","layer":4},{"info":"number node, value=7849","layer":4},{"info":"compute binary expreesion, left_input=3682, right_input=7849, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"number node, value=4271","layer":4},{"info":"number node, value=8519","layer":4},{"info":"compute binary expreesion, left_input=4271, right_input=8519, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":1},{"info":"number node, value=4029","layer":4},{"info":"compute unary expreesion, input=4029, op_id = nFAOW8KTqp, unary_op_definition = 'a∷ = { ((-(a⋝⋈⪟a))≦≮≮) }', output=12087","layer":3},{"info":"number node, value=1861","layer":4},{"info":"number node, value=1047","layer":4},{"info":"compute binary expreesion, left_input=1861, right_input=1047, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"compute binary expreesion, left_input=12087, right_input=-22, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=24490","layer":2},{"info":"compute unary expreesion, input=24490, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-47766","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-47766, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉26654≴⪞⇿≴∭⊉5040⪨≂(⊥≴∭⊉3255))⨽(≴∭⊉13510⪁≴∭⊉31612)⋣⋖(≴∭⊉15311⪨⊡≴∭⊉33560)⪒(⫇((≴∭⊉14514∷)⪮%⊝(≴∭⊉5266⋅⇍≴∭⊉3024)))=NaN","reverse_text":"NaN=(≴∭⊉26654≴⪞⇿≴∭⊉5040⪨≂(⊥≴∭⊉3255))⨽(≴∭⊉13510⪁≴∭⊉31612)⋣⋖(≴∭⊉15311⪨⊡≴∭⊉33560)⪒(⫇((≴∭⊉14514∷)⪮%⊝(≴∭⊉5266⋅⇍≴∭⊉3024)))","cot":[{"info":"≴∭⊉26654≴⪞⇿≴∭⊉5040=≴∭⊉2242025450","layer":3},{"info":"⊥≴∭⊉3255=NaN","layer":3},{"info":"≴∭⊉2242025450⪨≂NaN=NaN","layer":2},{"info":"≴∭⊉13510⪁≴∭⊉31612=NaN","layer":3},{"info":"≴∭⊉15311⪨⊡≴∭⊉33560=≴∭⊉0","layer":3},{"info":"NaN⋣⋖≴∭⊉0=NaN","layer":2},{"info":"NaN⨽NaN=NaN","layer":1},{"info":"≴∭⊉14514∷=≴∭⊉50145","layer":3},{"info":"≴∭⊉5266⋅⇍≴∭⊉3024=≴∭⊉-31","layer":3},{"info":"≴∭⊉50145⪮%⊝≴∭⊉-31=≴∭⊉131254","layer":2},{"info":"⫇≴∭⊉131254=≴∭⊉-256155","layer":1},{"info":"NaN⪒≴∭⊉-256155=NaN","layer":0}]}
+{"id":383,"expression_no_base_symbol":"(($1135$⋅⇍$5705$)≒∊$1930$⊔$3273$)∓⋝(⋼∭⪍(↡$4471$))⊋≦⊧($3334$⪡$1002$⪡($3859$⪄$1623$))⪢($3594$⪒⊣⊆$1026$⊝⪿⪼($3852$⩵∡$2783$))","expression":"((≴∭⊉3211⋅⇍≴∭⊉22430)≒∊≴∭⊉5425⊔≴∭⊉12354)∓⋝(⋼∭⪍(↡≴∭⊉16015))⊋≦⊧(≴∭⊉12502⪡≴∭⊉2631⪡(≴∭⊉14152⪄≴∭⊉4506))⪢(≴∭⊉13323⪒⊣⊆≴∭⊉2664⊝⪿⪼(≴∭⊉14142⩵∡≴∭⊉11054))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":133626,"operation_count":14,"complexity_ratio":9544.714285714286,"tree":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":1135,"base":7},"right_expr":{"type":"numeric_atoms","value":5705,"base":7}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":1930,"base":7},"right_expr":{"type":"numeric_atoms","value":3273,"base":7}}},"right_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"numeric_atoms","value":4471,"base":7}}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":3334,"base":7},"right_expr":{"type":"numeric_atoms","value":1002,"base":7}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3859,"base":7},"right_expr":{"type":"numeric_atoms","value":1623,"base":7}}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":3594,"base":7},"right_expr":{"type":"numeric_atoms","value":1026,"base":7}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":3852,"base":7},"right_expr":{"type":"numeric_atoms","value":2783,"base":7}}}}},"used_operators":["oRDoc9rAEX","PoHhknlbAi","5KTvxBwnZo","AdZkA7nFnk","E4l6HwMY31","DbCuESL50I","MXaNJeIAZ3","dWAJyo7jo9","oraRL2iQuh","SUmda5xLS4","3Oe9XWJUTD","eRqsBgTDFp","Y7wcNGrDQJ"],"dependent_operators":["DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","k8jYdgA6NY","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","sdazOOVcIp","W4YGzv6Whe","NTOWxs364D","glklzrTFfD","tifHPKVTfV"],"result":"≴∭⊉363","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1135","layer":4},{"info":"number node, value=5705","layer":4},{"info":"compute binary expreesion, left_input=1135, right_input=5705, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"number node, value=1930","layer":4},{"info":"number node, value=3273","layer":4},{"info":"compute binary expreesion, left_input=1930, right_input=3273, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=17825","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=17825, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=506","layer":2},{"info":"number node, value=4471","layer":4},{"info":"compute unary expreesion, input=4471, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=40239","layer":3},{"info":"compute unary expreesion, input=40239, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-159216","layer":2},{"info":"compute binary expreesion, left_input=506, right_input=-159216, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":1},{"info":"number node, value=3334","layer":4},{"info":"number node, value=1002","layer":4},{"info":"compute binary expreesion, left_input=3334, right_input=1002, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"number node, value=3859","layer":4},{"info":"number node, value=1623","layer":4},{"info":"compute binary expreesion, left_input=3859, right_input=1623, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-573713","layer":3},{"info":"compute binary expreesion, left_input=107, right_input=-573713, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=-573608","layer":2},{"info":"number node, value=3594","layer":4},{"info":"number node, value=1026","layer":4},{"info":"compute binary expreesion, left_input=3594, right_input=1026, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=7188","layer":3},{"info":"number node, value=3852","layer":4},{"info":"number node, value=2783","layer":4},{"info":"compute binary expreesion, left_input=3852, right_input=2783, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-5042","layer":3},{"info":"compute binary expreesion, left_input=7188, right_input=-5042, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=113372","layer":2},{"info":"compute binary expreesion, left_input=-573608, right_input=113372, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=192","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉3211⋅⇍≴∭⊉22430)≒∊≴∭⊉5425⊔≴∭⊉12354)∓⋝(⋼∭⪍(↡≴∭⊉16015))⊋≦⊧(≴∭⊉12502⪡≴∭⊉2631⪡(≴∭⊉14152⪄≴∭⊉4506))⪢(≴∭⊉13323⪒⊣⊆≴∭⊉2664⊝⪿⪼(≴∭⊉14142⩵∡≴∭⊉11054))=≴∭⊉363","reverse_text":"≴∭⊉363=((≴∭⊉3211⋅⇍≴∭⊉22430)≒∊≴∭⊉5425⊔≴∭⊉12354)∓⋝(⋼∭⪍(↡≴∭⊉16015))⊋≦⊧(≴∭⊉12502⪡≴∭⊉2631⪡(≴∭⊉14152⪄≴∭⊉4506))⪢(≴∭⊉13323⪒⊣⊆≴∭⊉2664⊝⪿⪼(≴∭⊉14142⩵∡≴∭⊉11054))","cot":[{"info":"≴∭⊉3211⋅⇍≴∭⊉22430=≴∭⊉-31","layer":3},{"info":"≴∭⊉5425⊔≴∭⊉12354=≴∭⊉102653","layer":3},{"info":"≴∭⊉-31≒∊≴∭⊉102653=≴∭⊉1322","layer":2},{"info":"↡≴∭⊉16015=≴∭⊉225213","layer":3},{"info":"⋼∭⪍≴∭⊉225213=≴∭⊉-1232121","layer":2},{"info":"≴∭⊉1322∓⋝≴∭⊉-1232121=≴∭⊉124","layer":1},{"info":"≴∭⊉12502⪡≴∭⊉2631=≴∭⊉212","layer":3},{"info":"≴∭⊉14152⪄≴∭⊉4506=≴∭⊉-4606430","layer":3},{"info":"≴∭⊉212⪡≴∭⊉-4606430=≴∭⊉-4606220","layer":2},{"info":"≴∭⊉13323⪒⊣⊆≴∭⊉2664=≴∭⊉26646","layer":3},{"info":"≴∭⊉14142⩵∡≴∭⊉11054=≴∭⊉-20462","layer":3},{"info":"≴∭⊉26646⊝⪿⪼≴∭⊉-20462=≴∭⊉651350","layer":2},{"info":"≴∭⊉-4606220⪢≴∭⊉651350=NaN","layer":1},{"info":"≴∭⊉124⊋≦⊧NaN=≴∭⊉363","layer":0}]}
+{"id":384,"expression_no_base_symbol":"(⇨(($2263$⇷$7293$)⊋($8329$⩚⊴⇥$3438$)))⊵↤","expression":"(⇨((≴∭⊉6412⇷≴∭⊉30156)⊋(≴∭⊉33166⩚⊴⇥≴∭⊉13011)))⊵↤","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":31798,"operation_count":5,"complexity_ratio":6359.6,"tree":{"type":"unary","operator":"⊵↤","unary_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2263,"base":7},"right_expr":{"type":"numeric_atoms","value":7293,"base":7}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":8329,"base":7},"right_expr":{"type":"numeric_atoms","value":3438,"base":7}}}}},"used_operators":["7IPrd9c3lf","G9tJMlZ94a","W4tP9CfskL","mp7IySMOzn","NTOWxs364D"],"dependent_operators":["eLAdDNolq6","W4YGzv6Whe","9FxExcQeMw","Qy55tPpLXF","BjRHVeLaeN","tifHPKVTfV","2DDjHMKMc0","f6k1SAg4EE","Z2TMIBDE3Q","eewbuw0ToL","QMFrweE19q","k8jYdgA6NY","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"≴∭⊉-101","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2263","layer":4},{"info":"number node, value=7293","layer":4},{"info":"compute binary expreesion, left_input=2263, right_input=7293, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=14586","layer":3},{"info":"number node, value=8329","layer":4},{"info":"number node, value=3438","layer":4},{"info":"compute binary expreesion, left_input=8329, right_input=3438, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-11888","layer":3},{"info":"compute binary expreesion, left_input=14586, right_input=-11888, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=-243214","layer":2},{"info":"compute unary expreesion, input=-243214, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = 7IPrd9c3lf, unary_op_definition = 'a⊵↤ = { (((a⪒a)+a)⇼⇔∾((a⫡⨏a)⩤)) , if (a!=425 and (≤/a)>523) ; (((a⫩⊇)⨰(a⋥≓≎a))⋥≓≎((a⩷∴a)⋝⋈⪟(a⩷∴a))) , else }', output=-50","layer":0}],"base":7,"result_base":7,"text":"(⇨((≴∭⊉6412⇷≴∭⊉30156)⊋(≴∭⊉33166⩚⊴⇥≴∭⊉13011)))⊵↤=≴∭⊉-101","reverse_text":"≴∭⊉-101=(⇨((≴∭⊉6412⇷≴∭⊉30156)⊋(≴∭⊉33166⩚⊴⇥≴∭⊉13011)))⊵↤","cot":[{"info":"≴∭⊉6412⇷≴∭⊉30156=≴∭⊉60345","layer":3},{"info":"≴∭⊉33166⩚⊴⇥≴∭⊉13011=≴∭⊉-46442","layer":3},{"info":"≴∭⊉60345⊋≴∭⊉-46442=≴∭⊉-2032036","layer":2},{"info":"⇨≴∭⊉-2032036=≴∭⊉0","layer":1},{"info":"≴∭⊉0⊵↤=≴∭⊉-101","layer":0}]}
+{"id":385,"expression_no_base_symbol":"((↸⊣$1343$)≒∊($1247$+$1008$)⋷($1664$⊉↱≁$6029$∈))∥⊢⊲(($1766$⋹)∼($1161$⫚↹⊑$2498$)⩎⪣⊞)","expression":"((↸⊣≴∭⊉3626)≒∊(≴∭⊉3431+≴∭⊉2640)⋷(≴∭⊉4565⊉↱≁≴∭⊉23402∈))∥⊢⊲((≴∭⊉5102⋹)∼(≴∭⊉3246⫚↹⊑≴∭⊉10166)⩎⪣⊞)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1964,"operation_count":11,"complexity_ratio":178.54545454545453,"tree":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"numeric_atoms","value":1343,"base":7}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1247,"base":7},"right_expr":{"type":"numeric_atoms","value":1008,"base":7}}},"right_expr":{"type":"unary","operator":"∈","unary_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":1664,"base":7},"right_expr":{"type":"numeric_atoms","value":6029,"base":7}}}},"right_expr":{"type":"unary","operator":"⩎⪣⊞","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⋹","unary_expr":{"type":"numeric_atoms","value":1766,"base":7}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":1161,"base":7},"right_expr":{"type":"numeric_atoms","value":2498,"base":7}}}}},"used_operators":["v1UQAVDJRr","23Mk6UjR3U","5KTvxBwnZo","wztAlM01eG","W4YGzv6Whe","ztP7wcbY7m","w2P8NbNXyL","waWucp1uQ4","DyGG3AbaNP","opAxDRczMr","dfKe02y8D2"],"dependent_operators":["EBcxylXtPf","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","rysDP5nf3Z","XPYlsWDdGa","8w2t5hMYqp","f6k1SAg4EE","14qkJME0vr","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","mp7IySMOzn","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","13rbtpv6ld","mp7IySMOzn","z63VuFQld9","aN9a90urxU","27wFxooxGf","SVb2v531z1","eewbuw0ToL","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1343","layer":4},{"info":"compute unary expreesion, input=1343, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-1056","layer":3},{"info":"number node, value=1247","layer":4},{"info":"number node, value=1008","layer":4},{"info":"compute binary expreesion, left_input=1247, right_input=1008, op_id = W4YGzv6Whe binary_op_definition= 'None', output=2255","layer":3},{"info":"compute binary expreesion, left_input=-1056, right_input=2255, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=1540","layer":2},{"info":"number node, value=1664","layer":4},{"info":"number node, value=6029","layer":4},{"info":"compute binary expreesion, left_input=1664, right_input=6029, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-20648","layer":3},{"info":"compute unary expreesion, input=-20648, op_id = ztP7wcbY7m, unary_op_definition = 'a∈ = { ((⊄⩳↩250)-(a⊦⊿)) , if ((⪲⇎a)>320 or (a⪒777)>25 or a!=39) ; a , else }', output=-62615","layer":2},{"info":"compute binary expreesion, left_input=1540, right_input=-62615, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-126770","layer":1},{"info":"number node, value=1766","layer":4},{"info":"compute unary expreesion, input=1766, op_id = opAxDRczMr, unary_op_definition = 'a⋹ = { ((⨴⫝a)⇷(a↤⩊a)) , if (a≃⋄)<20 or (⊢≑≆a)<=20 ; ((a⨰a)∧) , else }', output=-20","layer":3},{"info":"number node, value=1161","layer":4},{"info":"number node, value=2498","layer":4},{"info":"compute binary expreesion, left_input=1161, right_input=2498, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=-20, right_input=-447, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = waWucp1uQ4, unary_op_definition = 'a⩎⪣⊞ = { (a⇷a) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-126770, right_input=0, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=0","layer":0}],"base":7,"result_base":7,"text":"((↸⊣≴∭⊉3626)≒∊(≴∭⊉3431+≴∭⊉2640)⋷(≴∭⊉4565⊉↱≁≴∭⊉23402∈))∥⊢⊲((≴∭⊉5102⋹)∼(≴∭⊉3246⫚↹⊑≴∭⊉10166)⩎⪣⊞)=≴∭⊉0","reverse_text":"≴∭⊉0=((↸⊣≴∭⊉3626)≒∊(≴∭⊉3431+≴∭⊉2640)⋷(≴∭⊉4565⊉↱≁≴∭⊉23402∈))∥⊢⊲((≴∭⊉5102⋹)∼(≴∭⊉3246⫚↹⊑≴∭⊉10166)⩎⪣⊞)","cot":[{"info":"↸⊣≴∭⊉3626=≴∭⊉-3036","layer":3},{"info":"≴∭⊉3431+≴∭⊉2640=≴∭⊉6401","layer":3},{"info":"≴∭⊉-3036≒∊≴∭⊉6401=≴∭⊉4330","layer":2},{"info":"≴∭⊉4565⊉↱≁≴∭⊉23402=≴∭⊉-114125","layer":3},{"info":"≴∭⊉-114125∈=≴∭⊉-350360","layer":2},{"info":"≴∭⊉4330⋷≴∭⊉-350360=≴∭⊉-1035410","layer":1},{"info":"≴∭⊉5102⋹=≴∭⊉-26","layer":3},{"info":"≴∭⊉3246⫚↹⊑≴∭⊉10166=≴∭⊉-1206","layer":3},{"info":"≴∭⊉-26∼≴∭⊉-1206=≴∭⊉0","layer":2},{"info":"≴∭⊉0⩎⪣⊞=≴∭⊉0","layer":1},{"info":"≴∭⊉-1035410∥⊢⊲≴∭⊉0=≴∭⊉0","layer":0}]}
+{"id":386,"expression_no_base_symbol":"(($2513$⊋≦⊧$2717$)⨔⇊(∜⨇$1027$)⫥∨⫟($1803$↸$1500$)⨓$4926$⩁⩘$3683$)⇣⩺⋵(($2453$⨳⩥⨓$5291$)⨔⇊($1855$⩖⊿$4078$)∖(⪨⨬($2658$⪥⨬⪅)))","expression":"((≴∭⊉10220⊋≦⊧≴∭⊉10631)⨔⇊(∜⨇≴∭⊉2665)⫥∨⫟(≴∭⊉5154↸≴∭⊉4242)⨓≴∭⊉20235⩁⩘≴∭⊉13511)⇣⩺⋵((≴∭⊉10103⨳⩥⨓≴∭⊉21266)⨔⇊(≴∭⊉5260⩖⊿≴∭⊉14614)∖(⪨⨬(≴∭⊉10515⪥⨬⪅)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":17842,"operation_count":14,"complexity_ratio":1274.4285714285713,"tree":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":2513,"base":7},"right_expr":{"type":"numeric_atoms","value":2717,"base":7}},"right_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"numeric_atoms","value":1027,"base":7}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":1803,"base":7},"right_expr":{"type":"numeric_atoms","value":1500,"base":7}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":4926,"base":7},"right_expr":{"type":"numeric_atoms","value":3683,"base":7}}}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2453,"base":7},"right_expr":{"type":"numeric_atoms","value":5291,"base":7}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":1855,"base":7},"right_expr":{"type":"numeric_atoms","value":4078,"base":7}}},"right_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"unary","operator":"⪥⨬⪅","unary_expr":{"type":"numeric_atoms","value":2658,"base":7}}}}},"used_operators":["F4yD0voBRQ","KYD54nUTWz","JclMnS0uGI","oRDoc9rAEX","uFPyJr306J","3ViojmjbAp","1eCjFl0mb9","gub5Cegaqo","tXD093vOjl","nCS4ZIUYfx","RZ5CV9rWsJ","5obUd6DV38","zNRQejTB5A"],"dependent_operators":["NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","8HhzD0ZcuI","rGHVDoGpnC","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","DpFCA1CohY","IWmyXbctLI","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","W4YGzv6Whe","rysDP5nf3Z","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","T2fj7uvVaJ","nlCqmYiOvY","d7ASUq0ydm","Uaa54Peajs","3EYGwJThht","y4ImoPnbV5","JwTKLfZU96","rJVOvQCfKK","uWAJUKEvyW"],"result":"≴∭⊉-521","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2513","layer":4},{"info":"number node, value=2717","layer":4},{"info":"compute binary expreesion, left_input=2513, right_input=2717, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=-4990","layer":3},{"info":"number node, value=1027","layer":4},{"info":"compute unary expreesion, input=1027, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-4990, right_input=nan, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=nan","layer":2},{"info":"number node, value=1803","layer":4},{"info":"number node, value=1500","layer":4},{"info":"compute binary expreesion, left_input=1803, right_input=1500, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=1803","layer":3},{"info":"number node, value=4926","layer":4},{"info":"number node, value=3683","layer":4},{"info":"compute binary expreesion, left_input=4926, right_input=3683, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=15680","layer":3},{"info":"compute binary expreesion, left_input=1803, right_input=15680, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-15683","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-15683, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=2453","layer":4},{"info":"number node, value=5291","layer":4},{"info":"compute binary expreesion, left_input=2453, right_input=5291, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=2838","layer":3},{"info":"number node, value=1855","layer":4},{"info":"number node, value=4078","layer":4},{"info":"compute binary expreesion, left_input=1855, right_input=4078, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=25122","layer":3},{"info":"compute binary expreesion, left_input=2838, right_input=25122, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=25122","layer":2},{"info":"number node, value=2658","layer":4},{"info":"compute unary expreesion, input=2658, op_id = zNRQejTB5A, unary_op_definition = 'a⪥⨬⪅ = { (((a⨎1)⊹∫⫚(a⇄a))⫯⪬∳((a∽a)↳≱(∂a))) }', output=-473","layer":3},{"info":"compute unary expreesion, input=-473, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":2},{"info":"compute binary expreesion, left_input=25122, right_input=-526, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉10220⊋≦⊧≴∭⊉10631)⨔⇊(∜⨇≴∭⊉2665)⫥∨⫟(≴∭⊉5154↸≴∭⊉4242)⨓≴∭⊉20235⩁⩘≴∭⊉13511)⇣⩺⋵((≴∭⊉10103⨳⩥⨓≴∭⊉21266)⨔⇊(≴∭⊉5260⩖⊿≴∭⊉14614)∖(⪨⨬(≴∭⊉10515⪥⨬⪅)))=≴∭⊉-521","reverse_text":"≴∭⊉-521=((≴∭⊉10220⊋≦⊧≴∭⊉10631)⨔⇊(∜⨇≴∭⊉2665)⫥∨⫟(≴∭⊉5154↸≴∭⊉4242)⨓≴∭⊉20235⩁⩘≴∭⊉13511)⇣⩺⋵((≴∭⊉10103⨳⩥⨓≴∭⊉21266)⨔⇊(≴∭⊉5260⩖⊿≴∭⊉14614)∖(⪨⨬(≴∭⊉10515⪥⨬⪅)))","cot":[{"info":"≴∭⊉10220⊋≦⊧≴∭⊉10631=≴∭⊉-20356","layer":3},{"info":"∜⨇≴∭⊉2665=NaN","layer":3},{"info":"≴∭⊉-20356⨔⇊NaN=NaN","layer":2},{"info":"≴∭⊉5154↸≴∭⊉4242=≴∭⊉5154","layer":3},{"info":"≴∭⊉20235⩁⩘≴∭⊉13511=≴∭⊉63500","layer":3},{"info":"≴∭⊉5154⨓≴∭⊉63500=≴∭⊉-63503","layer":2},{"info":"NaN⫥∨⫟≴∭⊉-63503=NaN","layer":1},{"info":"≴∭⊉10103⨳⩥⨓≴∭⊉21266=≴∭⊉11163","layer":3},{"info":"≴∭⊉5260⩖⊿≴∭⊉14614=≴∭⊉133146","layer":3},{"info":"≴∭⊉11163⨔��≴∭⊉133146=≴∭⊉133146","layer":2},{"info":"≴∭⊉10515⪥⨬⪅=≴∭⊉-1244","layer":3},{"info":"⪨⨬≴∭⊉-1244=≴∭⊉-1351","layer":2},{"info":"≴∭⊉133146∖≴∭⊉-1351=≴∭⊉0","layer":1},{"info":"NaN⇣⩺⋵≴∭⊉0=≴∭⊉-521","layer":0}]}
+{"id":387,"expression_no_base_symbol":"((⨝⨆$1911$)⨓($3780$≭$1970$)-$4833$⇤$6437$⋣⋖($1782$⫭))⪎↠($1742$⩌⋺$2406$↼⊘⨖(⇨$3893$))≦↸(($7315$⫚↹⊑$2429$)⨓$2931$⨪↰⇹$2804$)","expression":"((⨝⨆≴∭⊉5400)⨓(≴∭⊉14010≭≴∭⊉5513)-≴∭⊉20043⇤≴∭⊉24524⋣⋖(≴∭⊉5124⫭))⪎↠(≴∭⊉5036⩌⋺≴∭⊉10005↼⊘⨖(⇨≴∭⊉14231))≦↸((≴∭⊉30220⫚↹⊑≴∭⊉10040)⨓≴∭⊉11355⨪↰⇹≴∭⊉11114)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":5966,"operation_count":15,"complexity_ratio":397.73333333333335,"tree":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"numeric_atoms","value":1911,"base":7}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3780,"base":7},"right_expr":{"type":"numeric_atoms","value":1970,"base":7}}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":4833,"base":7},"right_expr":{"type":"numeric_atoms","value":6437,"base":7}},"right_expr":{"type":"unary","operator":"⫭","unary_expr":{"type":"numeric_atoms","value":1782,"base":7}}}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":1742,"base":7},"right_expr":{"type":"numeric_atoms","value":2406,"base":7}},"right_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"numeric_atoms","value":3893,"base":7}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":7315,"base":7},"right_expr":{"type":"numeric_atoms","value":2429,"base":7}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2931,"base":7},"right_expr":{"type":"numeric_atoms","value":2804,"base":7}}}}},"used_operators":["3tVxb0NHM4","rysDP5nf3Z","3ViojmjbAp","bQ67fsrMVf","rxpJgHHUmx","J0M6qkBnIM","YSKBFp38Pu","t4WUHVGj7f","RygbFNSyEJ","bPywburJMS","g7Hmc5v1ko","G9tJMlZ94a","dfKe02y8D2","tmPS8pqC7x"],"dependent_operators":["P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","tifHPKVTfV","AHs5Up7iyr","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","NTOWxs364D","2DDjHMKMc0","xUOZtlo3hN","g55IO6H4Gj","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","k8jYdgA6NY","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1911","layer":4},{"info":"compute unary expreesion, input=1911, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=1702","layer":3},{"info":"number node, value=3780","layer":4},{"info":"number node, value=1970","layer":4},{"info":"compute binary expreesion, left_input=3780, right_input=1970, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1702, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":2},{"info":"number node, value=4833","layer":4},{"info":"number node, value=6437","layer":4},{"info":"compute binary expreesion, left_input=4833, right_input=6437, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-53502","layer":3},{"info":"number node, value=1782","layer":4},{"info":"compute unary expreesion, input=1782, op_id = t4WUHVGj7f, unary_op_definition = 'a⫭ = { (⨞⊢((a⨸⪁147)⩚⊴⇥(a⋝⋈⪟a))) }', output=5587","layer":3},{"info":"compute binary expreesion, left_input=-53502, right_input=5587, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=-53502","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-53502, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=1742","layer":4},{"info":"number node, value=2406","layer":4},{"info":"compute binary expreesion, left_input=1742, right_input=2406, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-4269","layer":3},{"info":"number node, value=3893","layer":4},{"info":"compute unary expreesion, input=3893, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-4269, right_input=0, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=-222","layer":2},{"info":"number node, value=7315","layer":4},{"info":"number node, value=2429","layer":4},{"info":"compute binary expreesion, left_input=7315, right_input=2429, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"number node, value=2931","layer":4},{"info":"number node, value=2804","layer":4},{"info":"compute binary expreesion, left_input=2931, right_input=2804, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2931","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=2931, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2934","layer":2},{"info":"compute binary expreesion, left_input=-222, right_input=-2934, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=903","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=903, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((⨝⨆≴∭⊉5400)⨓(≴∭⊉14010≭≴∭⊉5513)-≴∭⊉20043⇤≴∭⊉24524⋣⋖(≴∭⊉5124⫭))⪎↠(≴∭⊉5036⩌⋺≴∭⊉10005↼⊘⨖(⇨≴∭⊉14231))≦↸((≴∭⊉30220⫚↹⊑≴∭⊉10040)⨓≴∭⊉11355⨪↰⇹≴∭⊉11114)=NaN","reverse_text":"NaN=((⨝⨆≴∭⊉5400)⨓(≴∭⊉14010≭≴∭⊉5513)-≴∭⊉20043⇤≴∭⊉24524⋣⋖(≴∭⊉5124⫭))⪎↠(≴∭⊉5036⩌⋺≴∭⊉10005↼⊘⨖(⇨≴∭⊉14231))≦↸((≴∭⊉30220⫚↹⊑≴∭⊉10040)⨓≴∭⊉11355⨪↰⇹≴∭⊉11114)","cot":[{"info":"⨝⨆≴∭⊉5400=≴∭⊉4651","layer":3},{"info":"≴∭⊉14010≭≴∭⊉5513=NaN","layer":3},{"info":"≴∭⊉4651⨓NaN=NaN","layer":2},{"info":"≴∭⊉20043⇤≴∭⊉24524=≴∭⊉-311661","layer":3},{"info":"≴∭⊉5124⫭=≴∭⊉22201","layer":3},{"info":"≴∭⊉-311661⋣⋖≴∭⊉22201=≴∭⊉-311661","layer":2},{"info":"NaN-≴∭⊉-311661=NaN","layer":1},{"info":"≴∭⊉5036⩌⋺≴∭⊉10005=≴∭⊉-15306","layer":3},{"info":"⇨≴∭⊉14231=≴∭⊉0","layer":3},{"info":"≴∭⊉-15306↼⊘⨖≴∭⊉0=≴∭⊉-435","layer":2},{"info":"≴∭⊉30220⫚↹⊑≴∭⊉10040=≴∭⊉-1206","layer":3},{"info":"≴∭⊉11355⨪↰⇹≴∭⊉11114=≴∭⊉11355","layer":3},{"info":"≴∭⊉-1206⨓≴∭⊉11355=≴∭⊉-11361","layer":2},{"info":"≴∭⊉-435≦↸≴∭⊉-11361=≴∭⊉2430","layer":1},{"info":"NaN⪎↠≴∭⊉2430=NaN","layer":0}]}
+{"id":388,"expression_no_base_symbol":"((⩩(⫶⊄≣$2523$))⫸⊐(⇘$1558$)≁↽≥($4887$⫳≱↱$2553$))⪮%⊝((($2665$⪭≯$5939$)⊵↤)⪬∳)","expression":"((⩩(⫶⊄≣≴∭⊉10233))⫸⊐(⇘≴∭⊉4354)≁↽≥(≴∭⊉20151⫳≱↱≴∭⊉10305))⪮%⊝(((≴∭⊉10525⪭≯≴∭⊉23213)⊵↤)⪬∳)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":7755,"operation_count":10,"complexity_ratio":775.5,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"numeric_atoms","value":2523,"base":7}}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"numeric_atoms","value":1558,"base":7}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":4887,"base":7},"right_expr":{"type":"numeric_atoms","value":2553,"base":7}}}},"right_expr":{"type":"unary","operator":"⪬∳","unary_expr":{"type":"unary","operator":"⊵↤","unary_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":2665,"base":7},"right_expr":{"type":"numeric_atoms","value":5939,"base":7}}}}},"used_operators":["IWmyXbctLI","mqXw5SEYmG","kMhfGuqI2H","wxb3vTeyAj","ncHt1X6cMc","MGuIdZPyUC","ZvLB05nZmT","O9U3z1385E","7IPrd9c3lf","XAx5wpdLa6"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","oWn0xqSxBt","3Oe9XWJUTD","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","FU0Cs4j7VP","ukq6epAj5P","k7HXdKtiEU","zVYPLywUTj","LYeZOJ0nQG","kuIXHzHcAH","tcjXMdvYtA","eLAdDNolq6","W4YGzv6Whe","9FxExcQeMw","Qy55tPpLXF","BjRHVeLaeN","tifHPKVTfV","2DDjHMKMc0","f6k1SAg4EE","Z2TMIBDE3Q","eewbuw0ToL","QMFrweE19q","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2523","layer":4},{"info":"compute unary expreesion, input=2523, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=114621625","layer":3},{"info":"compute unary expreesion, input=114621625, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":2},{"info":"number node, value=1558","layer":4},{"info":"compute unary expreesion, input=1558, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=87862","layer":3},{"info":"number node, value=4887","layer":4},{"info":"number node, value=2553","layer":4},{"info":"compute binary expreesion, left_input=4887, right_input=2553, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"compute binary expreesion, left_input=87862, right_input=-204, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":1},{"info":"number node, value=2665","layer":4},{"info":"number node, value=5939","layer":4},{"info":"compute binary expreesion, left_input=2665, right_input=5939, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 7IPrd9c3lf, unary_op_definition = 'a⊵↤ = { (((a⪒a)+a)⇼⇔∾((a⫡⨏a)⩤)) , if (a!=425 and (≤/a)>523) ; (((a⫩⊇)⨰(a⋥≓≎a))⋥≓≎((a⩷∴a)⋝⋈⪟(a⩷∴a))) , else }', output=67","layer":2},{"info":"compute unary expreesion, input=67, op_id = O9U3z1385E, unary_op_definition = 'a⪬∳ = { ((a∋a)⊪) , if ((a⪨⊡684)!=357 and (≘a)<480 and (⊲⪭a)>=673) ; (⫎≠⋺(a↛⩡⫤)) , else }', output=-709","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-709, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((⩩(⫶⊄≣≴∭⊉10233))⫸⊐(⇘≴∭⊉4354)≁↽≥(≴∭⊉20151⫳≱↱≴∭⊉10305))⪮%⊝(((≴∭⊉10525⪭≯≴∭⊉23213)⊵↤)⪬∳)=NaN","reverse_text":"NaN=((⩩(⫶⊄≣≴∭⊉10233))⫸⊐(⇘≴∭⊉4354)≁↽≥(≴∭⊉20151⫳≱↱≴∭⊉10305))⪮%⊝(((≴∭⊉10525⪭≯≴∭⊉23213)⊵↤)⪬∳)","cot":[{"info":"⫶⊄≣≴∭⊉10233=≴∭⊉2561160556","layer":3},{"info":"⩩≴∭⊉2561160556=NaN","layer":2},{"info":"⇘≴∭⊉4354=≴∭⊉514105","layer":3},{"info":"≴∭⊉20151⫳≱↱≴∭⊉10305=≴∭⊉-411","layer":3},{"info":"≴∭⊉514105≁↽≥≴∭⊉-411=≴∭⊉0","layer":2},{"info":"NaN⫸⊐≴∭⊉0=NaN","layer":1},{"info":"≴∭⊉10525⪭≯≴∭⊉23213=NaN","layer":3},{"info":"NaN⊵↤=≴∭⊉124","layer":2},{"info":"≴∭⊉124⪬∳=≴∭⊉-2032","layer":1},{"info":"NaN⪮%⊝≴∭⊉-2032=NaN","layer":0}]}
+{"id":389,"expression_no_base_symbol":"($1915$≌$3016$⫣⪄⊒($5299$⩁⩘$1008$)⩼⇪↪((↞≼$2179$)⪨⊡(⋃$6644$)))≁($1133$⪬$2671$⪐)⇻⋧≁(($2962$⪪$1378$)⊴(⇘$1132$))","expression":"(≴∭⊉5404≌≴∭⊉11536⫣⪄⊒(≴∭⊉21310⩁⩘≴∭⊉2640)⩼⇪↪((↞≼≴∭⊉6232)⪨⊡(⋃≴∭⊉25241)))≁(≴∭⊉3206⪬≴∭⊉10534⪐)⇻⋧≁((≴∭⊉11431⪪≴∭⊉4006)⊴(⇘≴∭⊉3205))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":549583,"operation_count":14,"complexity_ratio":39255.92857142857,"tree":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":1915,"base":7},"right_expr":{"type":"numeric_atoms","value":3016,"base":7}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":5299,"base":7},"right_expr":{"type":"numeric_atoms","value":1008,"base":7}}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"numeric_atoms","value":2179,"base":7}},"right_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"numeric_atoms","value":6644,"base":7}}}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":1133,"base":7},"right_expr":{"type":"numeric_atoms","value":2671,"base":7}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":2962,"base":7},"right_expr":{"type":"numeric_atoms","value":1378,"base":7}},"right_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"numeric_atoms","value":1132,"base":7}}}}},"used_operators":["8N2wDY1A35","ocnLzx9CaJ","RabNbG55vr","lyWz822IDG","gub5Cegaqo","kuIXHzHcAH","DE7zCoGJt9","3mBM5G4a3l","jCPkEVoL5K","eH2TOUuTDT","Ez1Nq5fNfI","Nsiff2A1zJ","xD69zh8xqp","MGuIdZPyUC"],"dependent_operators":["B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","DpFCA1CohY","IWmyXbctLI","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","g55IO6H4Gj","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","dWAJyo7jo9","14qkJME0vr","FU0Cs4j7VP","JclMnS0uGI","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1915","layer":4},{"info":"number node, value=3016","layer":4},{"info":"compute binary expreesion, left_input=1915, right_input=3016, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"number node, value=5299","layer":4},{"info":"number node, value=1008","layer":4},{"info":"compute binary expreesion, left_input=5299, right_input=1008, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=4980","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4980, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=nan","layer":2},{"info":"number node, value=2179","layer":4},{"info":"compute unary expreesion, input=2179, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=17018","layer":3},{"info":"number node, value=6644","layer":4},{"info":"compute unary expreesion, input=6644, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=13390","layer":3},{"info":"compute binary expreesion, left_input=17018, right_input=13390, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=nan","layer":1},{"info":"number node, value=1133","layer":4},{"info":"number node, value=2671","layer":4},{"info":"compute binary expreesion, left_input=1133, right_input=2671, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=2468","layer":2},{"info":"number node, value=2962","layer":4},{"info":"number node, value=1378","layer":4},{"info":"compute binary expreesion, left_input=2962, right_input=1378, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-443351","layer":3},{"info":"number node, value=1132","layer":4},{"info":"compute unary expreesion, input=1132, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=62302","layer":3},{"info":"compute binary expreesion, left_input=-443351, right_input=62302, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=2468, right_input=nan, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-447, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉5404≌≴∭⊉11536⫣⪄⊒(≴∭⊉21310⩁⩘≴∭⊉2640)⩼⇪↪((↞≼≴∭⊉6232)⪨⊡(⋃≴∭⊉25241)))≁(≴∭⊉3206⪬≴∭⊉10534⪐)⇻⋧≁((≴∭⊉11431⪪≴∭⊉4006)⊴(⇘≴∭⊉3205))=NaN","reverse_text":"NaN=(≴∭⊉5404≌≴∭⊉11536⫣⪄⊒(≴∭⊉21310⩁⩘≴∭⊉2640)⩼⇪↪((↞≼≴∭⊉6232)⪨⊡(⋃≴∭⊉25241)))≁(≴∭⊉3206⪬≴∭⊉10534⪐)⇻⋧≁((≴∭⊉11431⪪≴∭⊉4006)⊴(⇘≴∭⊉3205))","cot":[{"info":"≴∭⊉5404≌≴∭⊉11536=NaN","layer":3},{"info":"≴∭⊉21310⩁⩘≴∭⊉2640=≴∭⊉20343","layer":3},{"info":"NaN⫣⪄⊒≴∭⊉20343=NaN","layer":2},{"info":"↞≼≴∭⊉6232=≴∭⊉100421","layer":3},{"info":"⋃≴∭⊉25241=≴∭⊉54016","layer":3},{"info":"≴∭⊉100421⪨⊡≴∭⊉54016=≴∭⊉0","layer":2},{"info":"NaN⩼⇪↪≴∭⊉0=NaN","layer":1},{"info":"≴∭⊉3206⪬≴∭⊉10534=≴∭⊉3412","layer":3},{"info":"≴∭⊉3412⪐=≴∭⊉10124","layer":2},{"info":"≴∭⊉11431⪪≴∭⊉4006=≴∭⊉-3524366","layer":3},{"info":"⇘≴∭⊉3205=≴∭⊉346432","layer":3},{"info":"≴∭⊉-3524366⊴≴∭⊉346432=NaN","layer":2},{"info":"≴∭⊉10124⇻⋧≁NaN=≴∭⊉-1206","layer":1},{"info":"NaN≁≴∭⊉-1206=NaN","layer":0}]}
+{"id":390,"expression_no_base_symbol":"∑⇻≧(∜⨇(⊬↢($4106$⨪↰⇹$1668$)))","expression":"∑⇻≧(∜⨇(⊬↢(≴∭⊉14654⨪↰⇹≴∭⊉4602)))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":9410,"operation_count":4,"complexity_ratio":2352.5,"tree":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":4106,"base":7},"right_expr":{"type":"numeric_atoms","value":1668,"base":7}}}}},"used_operators":["l1M9WJ3V7u","uFPyJr306J","WPoGxAaPR1","tmPS8pqC7x"],"dependent_operators":["23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","rJVOvQCfKK"],"result":"≴∭⊉-2325","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4106","layer":4},{"info":"number node, value=1668","layer":4},{"info":"compute binary expreesion, left_input=4106, right_input=1668, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=4106","layer":3},{"info":"compute unary expreesion, input=4106, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=218","layer":2},{"info":"compute unary expreesion, input=218, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":0}],"base":7,"result_base":7,"text":"∑⇻≧(∜⨇(⊬↢(≴∭⊉14654⨪↰⇹≴∭⊉4602)))=≴∭⊉-2325","reverse_text":"≴∭⊉-2325=∑⇻≧(∜⨇(⊬↢(≴∭⊉14654⨪↰⇹≴∭⊉4602)))","cot":[{"info":"≴∭⊉14654⨪↰⇹≴∭⊉4602=≴∭⊉14654","layer":3},{"info":"⊬↢≴∭⊉14654=≴∭⊉431","layer":2},{"info":"∜⨇≴∭⊉431=≴∭⊉0","layer":1},{"info":"∑⇻≧≴∭⊉0=≴∭⊉-2325","layer":0}]}
+{"id":391,"expression_no_base_symbol":"(($4470$⋷$1915$)⪪($4168$⊾⪯⋞$1777$)⪮%⊝(($2837$⇄$2155$)⨚⇆($4432$∲⫓$4820$)))⩘(⩦⩻⨪$1859$≚⊃≕$1282$)⋹⋡⊁(⋗⩴⪓$4989$⩣⫁∢$2708$)","expression":"((≴∭⊉16014⋷≴∭⊉5404)⪪(≴∭⊉15103⊾⪯⋞≴∭⊉5116)⪮%⊝((≴∭⊉11162⇄≴∭⊉6166)⨚⇆(≴∭⊉15631∲⫓≴∭⊉20024)))⩘(⩦⩻⨪≴∭⊉5264≚⊃≕≴∭⊉3511)⋹⋡⊁(⋗⩴⪓≴∭⊉20355��⫁∢≴∭⊉10616)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":99434,"operation_count":13,"complexity_ratio":7648.7692307692305,"tree":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":4470,"base":7},"right_expr":{"type":"numeric_atoms","value":1915,"base":7}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":4168,"base":7},"right_expr":{"type":"numeric_atoms","value":1777,"base":7}}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":2837,"base":7},"right_expr":{"type":"numeric_atoms","value":2155,"base":7}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":4432,"base":7},"right_expr":{"type":"numeric_atoms","value":4820,"base":7}}}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":1859,"base":7},"right_expr":{"type":"numeric_atoms","value":1282,"base":7}}},"right_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":4989,"base":7},"right_expr":{"type":"numeric_atoms","value":2708,"base":7}}}}},"used_operators":["cHh1gJQ2o6","IWmyXbctLI","xD69zh8xqp","23Mk6UjR3U","HK0tfVPux8","lwHaAYXP2r","3EYGwJThht","i8ToyICDmI","As8RqfVLgs","2td37pGCOC","Bmrmz2XGnR","nOKPl9n5zu","JDUIKTTSIa"],"dependent_operators":["23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","FU0Cs4j7VP","JclMnS0uGI","W4YGzv6Whe","t8gj7n24qd","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG"],"result":"≴∭⊉316","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4470","layer":4},{"info":"number node, value=1915","layer":4},{"info":"compute binary expreesion, left_input=4470, right_input=1915, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-640","layer":3},{"info":"number node, value=4168","layer":4},{"info":"number node, value=1777","layer":4},{"info":"compute binary expreesion, left_input=4168, right_input=1777, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=3128","layer":3},{"info":"compute binary expreesion, left_input=-640, right_input=3128, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-6206","layer":2},{"info":"number node, value=2837","layer":4},{"info":"number node, value=2155","layer":4},{"info":"compute binary expreesion, left_input=2837, right_input=2155, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"number node, value=4432","layer":4},{"info":"number node, value=4820","layer":4},{"info":"compute binary expreesion, left_input=4432, right_input=4820, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=8530","layer":2},{"info":"compute binary expreesion, left_input=-6206, right_input=8530, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-12096","layer":1},{"info":"number node, value=1859","layer":4},{"info":"number node, value=1282","layer":4},{"info":"compute binary expreesion, left_input=1859, right_input=1282, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":3},{"info":"compute unary expreesion, input=67, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=67","layer":2},{"info":"number node, value=4989","layer":4},{"info":"number node, value=2708","layer":4},{"info":"compute binary expreesion, left_input=4989, right_input=2708, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (���⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-9817","layer":3},{"info":"compute unary expreesion, input=-9817, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=41888","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=41888, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=42638","layer":1},{"info":"compute binary expreesion, left_input=-12096, right_input=42638, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉16014⋷≴∭⊉5404)⪪(≴∭⊉15103⊾⪯⋞≴∭⊉5116)⪮%⊝((≴∭⊉11162⇄≴∭⊉6166)⨚⇆(≴∭⊉15631∲⫓≴∭⊉20024)))⩘(⩦⩻⨪≴∭⊉5264≚⊃≕≴∭⊉3511)⋹⋡⊁(⋗⩴⪓≴∭⊉20355⩣⫁∢≴∭⊉10616)=≴∭⊉316","reverse_text":"≴∭⊉316=((≴∭⊉16014⋷≴∭⊉5404)⪪(≴∭⊉15103⊾⪯⋞≴∭⊉5116)⪮%⊝((≴∭⊉11162⇄≴∭⊉6166)⨚⇆(≴∭⊉15631∲⫓≴∭⊉20024)))⩘(⩦⩻⨪≴∭⊉5264≚⊃≕≴∭⊉3511)⋹⋡⊁(⋗⩴⪓≴∭⊉20355⩣⫁∢≴∭⊉10616)","cot":[{"info":"≴∭⊉16014⋷≴∭⊉5404=≴∭⊉-1603","layer":3},{"info":"≴∭⊉15103⊾⪯⋞≴∭⊉5116=≴∭⊉12056","layer":3},{"info":"≴∭⊉-1603⪪≴∭⊉12056=≴∭⊉-24044","layer":2},{"info":"≴∭⊉11162⇄≴∭⊉6166=≴∭⊉0","layer":3},{"info":"≴∭⊉15631∲⫓≴∭⊉20024=≴∭⊉0","layer":3},{"info":"≴∭⊉0⨚⇆≴∭⊉0=≴∭⊉33604","layer":2},{"info":"≴∭⊉-24044⪮%⊝≴∭⊉33604=≴∭⊉-50160","layer":1},{"info":"≴∭⊉5264≚⊃≕≴∭⊉3511=≴∭⊉124","layer":3},{"info":"⩦⩻⨪≴∭⊉124=≴∭⊉124","layer":2},{"info":"≴∭⊉20355⩣⫁∢≴∭⊉10616=≴∭⊉-40423","layer":3},{"info":"⋗⩴⪓≴∭⊉-40423=≴∭⊉233060","layer":2},{"info":"≴∭⊉124⋹⋡⊁≴∭⊉233060=≴∭⊉235211","layer":1},{"info":"≴∭⊉-50160⩘≴∭⊉235211=≴∭⊉316","layer":0}]}
+{"id":392,"expression_no_base_symbol":"(($2159$⇻⋧≁$7413$⊔$4057$∀⇚≩$5595$)∼(⩩($6793$⪇≇⋚$1549$)))⩼⇪↪(⩎⋉(⇁⨣⪵($2506$⨁⊸⫻)))","expression":"((≴∭⊉6203⇻⋧≁≴∭⊉30420⊔≴∭⊉14554∀⇚≩≴∭⊉22212)∼(⩩(≴∭⊉25543⪇≇⋚≴∭⊉4342)))⩼⇪↪(⩎⋉(⇁⨣⪵(≴∭⊉10210⨁⊸⫻)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":32566,"operation_count":10,"complexity_ratio":3256.6,"tree":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":2159,"base":7},"right_expr":{"type":"numeric_atoms","value":7413,"base":7}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":4057,"base":7},"right_expr":{"type":"numeric_atoms","value":5595,"base":7}}},"right_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":6793,"base":7},"right_expr":{"type":"numeric_atoms","value":1549,"base":7}}}},"right_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":2506,"base":7}}}}},"used_operators":["ocnLzx9CaJ","DyGG3AbaNP","E4l6HwMY31","jCPkEVoL5K","LRNGc0VcxI","kMhfGuqI2H","3sJ7IOPOlU","FlXk3pOYe8","inkyxCbjAn","glklzrTFfD"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","X99M06cbEe","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","B5M0gjZbta","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2159","layer":4},{"info":"number node, value=7413","layer":4},{"info":"compute binary expreesion, left_input=2159, right_input=7413, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"number node, value=4057","layer":4},{"info":"number node, value=5595","layer":4},{"info":"compute binary expreesion, left_input=4057, right_input=5595, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=nan, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=nan","layer":2},{"info":"number node, value=6793","layer":4},{"info":"number node, value=1549","layer":4},{"info":"compute binary expreesion, left_input=6793, right_input=1549, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=232","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=232, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=0","layer":1},{"info":"number node, value=2506","layer":4},{"info":"compute unary expreesion, input=2506, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=2506","layer":3},{"info":"compute unary expreesion, input=2506, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = FlXk3pOYe8, unary_op_definition = '⩎⋉a = { (((a/a)∲⫓(≛a))∴((a⩨a)⨳⩥⨓(⊄⩳↩a))) , if (a⩇∃⫛268)<=24 or a==244 or (↩⪖a)>=4 ; (((a⨔⇊a)∠↢(↸⊣a))≚⊃≕((≦∁a)⨐461)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉6203⇻⋧≁≴∭⊉30420⊔≴∭⊉14554∀⇚≩≴∭⊉22212)∼(⩩(≴∭⊉25543⪇≇⋚≴∭⊉4342)))⩼⇪↪(⩎⋉(⇁⨣⪵(≴∭⊉10210⨁⊸⫻)))=NaN","reverse_text":"NaN=((≴∭⊉6203⇻⋧≁≴∭⊉30420⊔≴∭⊉14554∀⇚≩≴∭⊉22212)∼(⩩(≴∭⊉25543⪇≇⋚≴∭⊉4342)))⩼⇪↪(⩎⋉(⇁⨣⪵(≴∭⊉10210⨁⊸⫻)))","cot":[{"info":"≴∭⊉6203⇻⋧≁≴∭⊉30420=≴∭⊉-1206","layer":3},{"info":"≴∭⊉14554∀⇚≩≴∭⊉22212=NaN","layer":3},{"info":"≴∭⊉-1206⊔NaN=NaN","layer":2},{"info":"≴∭⊉25543⪇≇⋚≴∭⊉4342=≴∭⊉0","layer":3},{"info":"⩩≴∭⊉0=≴∭⊉451","layer":2},{"info":"NaN∼≴∭⊉451=≴∭⊉0","layer":1},{"info":"≴∭⊉10210⨁⊸⫻=≴∭⊉10210","layer":3},{"info":"⇁⨣⪵≴∭⊉10210=NaN","layer":2},{"info":"⩎⋉NaN=NaN","layer":1},{"info":"≴∭⊉0⩼⇪↪NaN=NaN","layer":0}]}
+{"id":393,"expression_no_base_symbol":"↯⪼($2877$⩦$4958$⋣⋖($2824$⋅⇍$3157$)⫸⇳($5061$⩺⪪$4087$)≬⇓$2083$≒∊$4153$)","expression":"↯⪼(≴∭⊉11250⩦≴∭⊉20312⋣⋖(≴∭⊉11143⋅⇍≴∭⊉12130)⫸⇳(≴∭⊉20520⩺⪪≴∭⊉14626)≬⇓≴∭⊉6034≒∊≴∭⊉15052)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":49806,"operation_count":8,"complexity_ratio":6225.75,"tree":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":2877,"base":7},"right_expr":{"type":"numeric_atoms","value":4958,"base":7}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":2824,"base":7},"right_expr":{"type":"numeric_atoms","value":3157,"base":7}}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":5061,"base":7},"right_expr":{"type":"numeric_atoms","value":4087,"base":7}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":2083,"base":7},"right_expr":{"type":"numeric_atoms","value":4153,"base":7}}}}},"used_operators":["8jW3W4yZS5","gx7XJ7hdpj","J0M6qkBnIM","0kmYd0q39Y","AdZkA7nFnk","jWTQ2TZYIH","uvdQJvN4PV","5KTvxBwnZo"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl"],"result":"≴∭⊉-30","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2877","layer":4},{"info":"number node, value=4958","layer":4},{"info":"compute binary expreesion, left_input=2877, right_input=4958, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=5754","layer":3},{"info":"number node, value=2824","layer":4},{"info":"number node, value=3157","layer":4},{"info":"compute binary expreesion, left_input=2824, right_input=3157, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"compute binary expreesion, left_input=5754, right_input=-22, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=5754","layer":2},{"info":"number node, value=5061","layer":4},{"info":"number node, value=4087","layer":4},{"info":"compute binary expreesion, left_input=5061, right_input=4087, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-16482","layer":3},{"info":"number node, value=2083","layer":4},{"info":"number node, value=4153","layer":4},{"info":"compute binary expreesion, left_input=2083, right_input=4153, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-1599","layer":3},{"info":"compute binary expreesion, left_input=-16482, right_input=-1599, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=inf","layer":2},{"info":"compute binary expreesion, left_input=5754, right_input=inf, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":0}],"base":7,"result_base":7,"text":"↯⪼(≴∭⊉11250⩦≴∭⊉20312⋣⋖(≴∭⊉11143⋅⇍≴∭⊉12130)⫸⇳(≴∭⊉20520⩺⪪≴∭⊉14626)≬⇓≴∭⊉6034≒∊≴∭⊉15052)=≴∭⊉-30","reverse_text":"≴∭⊉-30=↯⪼(≴∭⊉11250⩦≴∭⊉20312⋣⋖(≴∭⊉11143⋅⇍≴∭⊉12130)⫸⇳(≴∭⊉20520⩺⪪≴∭⊉14626)≬⇓≴∭⊉6034≒∊≴∭⊉15052)","cot":[{"info":"≴∭⊉11250⩦≴∭⊉20312=≴∭⊉22530","layer":3},{"info":"≴∭⊉11143⋅⇍≴∭⊉12130=≴∭⊉-31","layer":3},{"info":"≴∭⊉22530⋣⋖≴∭⊉-31=≴∭⊉22530","layer":2},{"info":"≴∭⊉20520⩺⪪≴∭⊉14626=≴∭⊉-66024","layer":3},{"info":"≴∭⊉6034≒∊≴∭⊉15052=≴∭⊉-4443","layer":3},{"info":"≴∭⊉-66024≬⇓≴∭⊉-4443=Inf","layer":2},{"info":"≴∭⊉22530⫸⇳Inf=≴∭⊉0","layer":1},{"info":"↯⪼≴∭⊉0=≴∭⊉-30","layer":0}]}
+{"id":394,"expression_no_base_symbol":"((∡($4801$⨑≵⋬$1124$))⩧⪆(⩦⊞$1788$)↞⋁(⪭⩑⪱$4087$))⨜⨶(⪓⩚(⊗$8988$↓$4209$))","expression":"((∡(≴∭⊉16666⨑≵⋬≴∭⊉3164))⩧⪆(⩦⊞≴∭⊉5133)↞⋁(⪭⩑⪱≴∭⊉14626))⨜⨶(⪓⩚(⊗≴∭⊉35130↓≴∭⊉15162))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":385600,"operation_count":10,"complexity_ratio":38560.0,"tree":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":4801,"base":7},"right_expr":{"type":"numeric_atoms","value":1124,"base":7}}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"numeric_atoms","value":1788,"base":7}},"right_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"numeric_atoms","value":4087,"base":7}}}},"right_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":8988,"base":7},"right_expr":{"type":"numeric_atoms","value":4209,"base":7}}}}},"used_operators":["HiPekx5b7W","Ikt5ks8PT7","pRsWfj4Fpp","XnXgA4xnOs","RqrPlJkxDo","u7fv1HBiaC","SIgE0bArFf","u0R0Locfp2","RhiyfpczSx","Af076pWI7l"],"dependent_operators":["N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","eewbuw0ToL","t8gj7n24qd","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4801","layer":4},{"info":"number node, value=1124","layer":4},{"info":"compute binary expreesion, left_input=4801, right_input=1124, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=17516","layer":3},{"info":"compute unary expreesion, input=17516, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=-17516","layer":2},{"info":"number node, value=1788","layer":4},{"info":"compute unary expreesion, input=1788, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-1515","layer":3},{"info":"number node, value=4087","layer":4},{"info":"compute unary expreesion, input=4087, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":3},{"info":"compute binary expreesion, left_input=-1515, right_input=8320752, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-17516, right_input=nan, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=nan","layer":1},{"info":"number node, value=8988","layer":4},{"info":"number node, value=4209","layer":4},{"info":"compute binary expreesion, left_input=8988, right_input=4209, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"compute unary expreesion, input=-134, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-268","layer":2},{"info":"compute unary expreesion, input=-268, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=426, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((∡(≴∭⊉16666⨑≵⋬≴∭⊉3164))⩧⪆(⩦⊞≴∭⊉5133)↞⋁(⪭⩑⪱≴∭⊉14626))⨜⨶(⪓⩚(⊗≴∭⊉35130↓≴∭⊉15162))=NaN","reverse_text":"NaN=((∡(≴∭⊉16666⨑≵⋬≴∭⊉3164))⩧⪆(⩦⊞≴∭⊉5133)↞⋁(⪭⩑⪱≴∭⊉14626))⨜⨶(⪓⩚(⊗≴∭⊉35130↓≴∭⊉15162))","cot":[{"info":"≴∭⊉16666⨑≵⋬≴∭⊉3164=≴∭⊉102032","layer":3},{"info":"∡≴∭⊉102032=≴∭⊉-102032","layer":2},{"info":"⩦⊞≴∭⊉5133=≴∭⊉-4263","layer":3},{"info":"⪭⩑⪱≴∭⊉14626=≴∭⊉130503516","layer":3},{"info":"≴∭⊉-4263↞⋁≴∭⊉130503516=NaN","layer":2},{"info":"≴∭⊉-102032⩧⪆NaN=NaN","layer":1},{"info":"≴∭⊉35130↓≴∭⊉15162=≴∭⊉-251","layer":3},{"info":"⊗≴∭⊉-251=≴∭⊉-532","layer":2},{"info":"⪓⩚≴∭⊉-532=≴∭⊉1146","layer":1},{"info":"NaN⨜⨶≴∭⊉1146=NaN","layer":0}]}
+{"id":395,"expression_no_base_symbol":"((⋗⩴⪓$5003$⩌⋺$1647$)⨓$2793$⩖⊿$2647$⊱⇼⊻($5045$⫲≸⪮$5503$))∀⇚≩((↥≼⋛$2380$)⪍↜⋙($2333$⇣⩺⋵$4670$)⇼⇔∾$5852$∀⇚≩$3375$∠↢$1803$⋥⋵⩄$2060$)","expression":"((⋗⩴⪓≴∭⊉20405⩌⋺≴∭⊉4542)⨓≴∭⊉11100⩖⊿≴∭⊉10501⊱⇼⊻(≴∭⊉20465⫲≸⪮≴∭⊉22021))∀⇚≩((↥≼⋛≴∭⊉6640)⪍↜⋙(≴∭⊉6542⇣⩺⋵≴∭⊉16421)⇼⇔∾≴∭⊉23030∀⇚≩≴∭⊉12561∠↢≴∭⊉5154⋥⋵⩄≴∭⊉6002)","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":49705,"operation_count":14,"complexity_ratio":3550.3571428571427,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":5003,"base":7},"right_expr":{"type":"numeric_atoms","value":1647,"base":7}}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":2793,"base":7},"right_expr":{"type":"numeric_atoms","value":2647,"base":7}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":5045,"base":7},"right_expr":{"type":"numeric_atoms","value":5503,"base":7}}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"numeric_atoms","value":2380,"base":7}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":2333,"base":7},"right_expr":{"type":"numeric_atoms","value":4670,"base":7}}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":5852,"base":7},"right_expr":{"type":"numeric_atoms","value":3375,"base":7}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":1803,"base":7},"right_expr":{"type":"numeric_atoms","value":2060,"base":7}}}}},"used_operators":["LRNGc0VcxI","3ViojmjbAp","nOKPl9n5zu","g7Hmc5v1ko","FyVja0WsTP","RZ5CV9rWsJ","P3lXMJvFrc","tifHPKVTfV","L05ObWFQCd","x5lMkHmzsq","F4yD0voBRQ","KbjG8mgYpV","7t3wd0Fuz7"],"dependent_operators":["X99M06cbEe","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5003","layer":4},{"info":"number node, value=1647","layer":4},{"info":"compute binary expreesion, left_input=5003, right_input=1647, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-6771","layer":3},{"info":"compute unary expreesion, input=-6771, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=29704","layer":2},{"info":"number node, value=2793","layer":4},{"info":"number node, value=2647","layer":4},{"info":"compute binary expreesion, left_input=2793, right_input=2647, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=9922","layer":3},{"info":"number node, value=5045","layer":4},{"info":"number node, value=5503","layer":4},{"info":"compute binary expreesion, left_input=5045, right_input=5503, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=5045","layer":3},{"info":"compute binary expreesion, left_input=9922, right_input=5045, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":2},{"info":"compute binary expreesion, left_input=29704, right_input=434, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-437","layer":1},{"info":"number node, value=2380","layer":4},{"info":"compute unary expreesion, input=2380, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-113","layer":3},{"info":"number node, value=2333","layer":4},{"info":"number node, value=4670","layer":4},{"info":"compute binary expreesion, left_input=2333, right_input=4670, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"compute binary expreesion, left_input=-113, right_input=-260, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=294","layer":2},{"info":"number node, value=5852","layer":4},{"info":"number node, value=3375","layer":4},{"info":"compute binary expreesion, left_input=5852, right_input=3375, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1803","layer":4},{"info":"number node, value=2060","layer":4},{"info":"compute binary expreesion, left_input=1803, right_input=2060, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=113, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=294, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-437, right_input=nan, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":0}],"base":7,"result_base":7,"text":"((⋗⩴⪓≴∭⊉20405⩌⋺≴∭⊉4542)⨓≴∭⊉11100⩖⊿≴∭⊉10501⊱⇼⊻(≴∭⊉20465⫲≸⪮≴∭⊉22021))∀⇚≩((↥≼⋛≴∭⊉6640)⪍↜⋙(≴∭⊉6542⇣⩺⋵≴∭⊉16421)⇼⇔∾≴∭⊉23030∀⇚≩≴∭⊉12561∠↢≴∭⊉5154⋥⋵⩄≴∭⊉6002)=NaN","reverse_text":"NaN=((⋗⩴⪓≴∭⊉20405⩌⋺≴∭⊉4542)⨓≴∭⊉11100⩖⊿≴∭⊉10501⊱⇼⊻(≴∭⊉20465⫲≸⪮≴∭⊉22021))∀⇚≩((↥≼⋛≴∭⊉6640)⪍↜⋙(≴∭⊉6542⇣⩺⋵≴∭⊉16421)⇼⇔∾≴∭⊉23030∀⇚≩≴∭⊉12561∠↢≴∭⊉5154⋥⋵⩄≴∭⊉6002)","cot":[{"info":"≴∭⊉20405⩌⋺≴∭⊉4542=≴∭⊉-25512","layer":3},{"info":"⋗⩴⪓≴∭⊉-25512=≴∭⊉152413","layer":2},{"info":"≴∭⊉11100⩖⊿≴∭⊉10501=≴∭⊉40633","layer":3},{"info":"≴∭⊉20465⫲≸⪮≴∭⊉22021=≴∭⊉20465","layer":3},{"info":"≴∭⊉40633⊱⇼⊻≴∭⊉20465=≴∭⊉1160","layer":2},{"info":"≴∭⊉152413⨓≴∭⊉1160=≴∭⊉-1163","layer":1},{"info":"↥≼⋛≴∭⊉6640=≴∭⊉-221","layer":3},{"info":"≴∭⊉6542⇣⩺⋵≴∭⊉16421=≴∭⊉-521","layer":3},{"info":"≴∭⊉-221⪍↜⋙≴∭⊉-521=≴∭⊉600","layer":2},{"info":"≴∭⊉23030∀⇚≩≴∭⊉12561=NaN","layer":3},{"info":"≴∭⊉5154⋥⋵⩄≴∭⊉6002=≴∭⊉221","layer":3},{"info":"NaN∠↢≴∭⊉221=NaN","layer":2},{"info":"≴∭⊉600⇼⇔∾NaN=NaN","layer":1},{"info":"≴∭⊉-1163∀⇚≩NaN=NaN","layer":0}]}
+{"id":396,"expression_no_base_symbol":"($1826$⪛$1894$)∘$1905$↳∿⪆$6646$⊴(⫡⇟⇯$1902$)⪚($5416$≃$1575$)⊔(⨈⪑(($2872$≬⇓$1201$)∝$6436$⊹∫⫚$5965$))","expression":"(≴∭⊉5216⪛≴∭⊉5344)∘≴∭⊉5361↳∿⪆≴∭⊉25243⊴(⫡⇟⇯≴∭⊉5355)⪚(≴∭⊉21535≃≴∭⊉4410)⊔(⨈⪑((≴∭⊉11242≬⇓≴∭⊉3334)∝≴∭⊉24523⊹∫⫚≴∭⊉23251))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":55117,"operation_count":12,"complexity_ratio":4593.083333333333,"tree":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1826,"base":7},"right_expr":{"type":"numeric_atoms","value":1894,"base":7}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":1905,"base":7},"right_expr":{"type":"numeric_atoms","value":6646,"base":7}}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"numeric_atoms","value":1902,"base":7}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":5416,"base":7},"right_expr":{"type":"numeric_atoms","value":1575,"base":7}}}},"right_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":2872,"base":7},"right_expr":{"type":"numeric_atoms","value":1201,"base":7}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":6436,"base":7},"right_expr":{"type":"numeric_atoms","value":5965,"base":7}}}}},"used_operators":["E4l6HwMY31","Nsiff2A1zJ","Z5m6OM72h2","uFcxV4UQCh","Cw4SuJJGHO","HrjLwUk87U","qWUSsah53b","YbVcJGFEVW","mp94q5OcYM","cTDWOvIxvz","jWTQ2TZYIH","uWAJUKEvyW"],"dependent_operators":["W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","dWAJyo7jo9","14qkJME0vr","eH2TOUuTDT","rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","DZ8iAZOCBD","P8v4zCKN1o","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","7j4O788W3g","W4YGzv6Whe","COABgblf1C","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1826","layer":4},{"info":"number node, value=1894","layer":4},{"info":"compute binary expreesion, left_input=1826, right_input=1894, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1826","layer":3},{"info":"number node, value=1905","layer":4},{"info":"number node, value=6646","layer":4},{"info":"compute binary expreesion, left_input=1905, right_input=6646, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1826, right_input=nan, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=3652","layer":2},{"info":"number node, value=1902","layer":4},{"info":"compute unary expreesion, input=1902, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=4672","layer":3},{"info":"number node, value=5416","layer":4},{"info":"number node, value=1575","layer":4},{"info":"compute binary expreesion, left_input=5416, right_input=1575, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-21704","layer":3},{"info":"compute binary expreesion, left_input=4672, right_input=-21704, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=52396","layer":2},{"info":"compute binary expreesion, left_input=3652, right_input=52396, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=2872","layer":4},{"info":"number node, value=1201","layer":4},{"info":"compute binary expreesion, left_input=2872, right_input=1201, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":3},{"info":"number node, value=6436","layer":4},{"info":"number node, value=5965","layer":4},{"info":"compute binary expreesion, left_input=6436, right_input=5965, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-296","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=-296, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=-17","layer":2},{"info":"compute unary expreesion, input=-17, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=868, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉5216⪛≴∭⊉5344)∘≴∭⊉5361↳∿⪆≴∭⊉25243⊴(⫡⇟⇯≴∭⊉5355)⪚(≴∭⊉21535≃≴∭⊉4410)⊔(⨈⪑((≴∭⊉11242≬⇓≴∭⊉3334)∝≴∭⊉24523⊹∫⫚≴∭⊉23251))=NaN","reverse_text":"NaN=(≴∭⊉5216⪛≴∭⊉5344)∘≴∭⊉5361↳∿⪆≴∭⊉25243⊴(⫡⇟⇯≴∭⊉5355)⪚(≴∭⊉21535≃≴∭⊉4410)⊔(⨈⪑((≴∭⊉11242≬⇓≴∭⊉3334)∝≴∭⊉24523⊹∫⫚≴∭⊉23251))","cot":[{"info":"≴∭⊉5216⪛≴∭⊉5344=≴∭⊉5216","layer":3},{"info":"≴∭⊉5361↳∿⪆≴∭⊉25243=NaN","layer":3},{"info":"≴∭⊉5216∘NaN=≴∭⊉13435","layer":2},{"info":"⫡⇟⇯≴∭⊉5355=≴∭⊉16423","layer":3},{"info":"≴∭⊉21535≃≴∭⊉4410=≴∭⊉-120164","layer":3},{"info":"≴∭⊉16423⪚≴∭⊉-120164=≴∭⊉305521","layer":2},{"info":"≴∭⊉13435⊴≴∭⊉305521=NaN","layer":1},{"info":"≴∭⊉11242≬⇓≴∭⊉3334=≴∭⊉-31","layer":3},{"info":"≴∭⊉24523⊹∫⫚≴∭⊉23251=≴∭⊉-602","layer":3},{"info":"≴∭⊉-31∝≴∭⊉-602=≴∭⊉-23","layer":2},{"info":"⨈⪑≴∭⊉-23=≴∭⊉2350","layer":1},{"info":"NaN⊔≴∭⊉2350=NaN","layer":0}]}
+{"id":397,"expression_no_base_symbol":"(($4316$⊢$2198$)⫁($1798$⩦$2195$)⩤)⫚↹⊑($1121$↸$6939$⨸⪁($2949$⫩))↙($1215$⩼⇪↪$5869$⊎←↗)","expression":"((≴∭⊉15404⊢≴∭⊉6260)⫁(≴∭⊉5146⩦≴∭⊉6254)⩤)⫚↹⊑(≴∭⊉3161↸≴∭⊉26142⨸⪁(≴∭⊉11412⫩))↙(≴∭⊉3354⩼⇪↪≴∭⊉23053⊎←↗)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":4251,"operation_count":11,"complexity_ratio":386.45454545454544,"tree":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":4316,"base":7},"right_expr":{"type":"numeric_atoms","value":2198,"base":7}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":1798,"base":7},"right_expr":{"type":"numeric_atoms","value":2195,"base":7}}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":1121,"base":7},"right_expr":{"type":"numeric_atoms","value":6939,"base":7}},"right_expr":{"type":"unary","operator":"⫩","unary_expr":{"type":"numeric_atoms","value":2949,"base":7}}},"right_expr":{"type":"unary","operator":"⊎←↗","unary_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":1215,"base":7},"right_expr":{"type":"numeric_atoms","value":5869,"base":7}}}}},"used_operators":["dfKe02y8D2","Z2TMIBDE3Q","0ajvFaJAv0","5twsqlHp2o","0kmYd0q39Y","yyfyN0ffXY","g55IO6H4Gj","1eCjFl0mb9","6aG7x05OhS","dwb5p0fa6d","ocnLzx9CaJ"],"dependent_operators":["2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","rysDP5nf3Z","t8gj7n24qd","cHh1gJQ2o6","AHs5Up7iyr","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","dWAJyo7jo9","sdazOOVcIp","COABgblf1C","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q"],"result":"≴∭⊉-1206","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4316","layer":4},{"info":"number node, value=2198","layer":4},{"info":"compute binary expreesion, left_input=4316, right_input=2198, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-8876","layer":3},{"info":"number node, value=1798","layer":4},{"info":"number node, value=2195","layer":4},{"info":"compute binary expreesion, left_input=1798, right_input=2195, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=3596","layer":3},{"info":"compute binary expreesion, left_input=-8876, right_input=3596, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-160","layer":1},{"info":"number node, value=1121","layer":4},{"info":"number node, value=6939","layer":4},{"info":"compute binary expreesion, left_input=1121, right_input=6939, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=1121","layer":3},{"info":"number node, value=2949","layer":4},{"info":"compute unary expreesion, input=2949, op_id = 6aG7x05OhS, unary_op_definition = 'a⫩ = { (a⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1121, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":2},{"info":"number node, value=1215","layer":4},{"info":"number node, value=5869","layer":4},{"info":"compute binary expreesion, left_input=1215, right_input=5869, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-39436","layer":3},{"info":"compute unary expreesion, input=-39436, op_id = dwb5p0fa6d, unary_op_definition = 'a⊎←↗ = { (a⊭↱340) , if (a⪨≂940)!=203 ; (a⊭↱a) , else }', output=79557","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=79557, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-160, right_input=nan, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉15404⊢≴∭⊉6260)⫁(≴∭⊉5146⩦≴∭⊉6254)⩤)⫚↹⊑(≴∭⊉3161↸≴∭⊉26142⨸⪁(≴∭⊉11412⫩))↙(≴∭⊉3354⩼⇪↪≴∭⊉23053⊎←↗)=≴∭⊉-1206","reverse_text":"≴∭⊉-1206=((≴∭⊉15404⊢≴∭⊉6260)⫁(≴∭⊉5146⩦≴∭⊉6254)⩤)⫚↹⊑(≴∭⊉3161↸≴∭⊉26142⨸⪁(≴∭⊉11412⫩))↙(≴∭⊉3354⩼⇪↪≴∭⊉23053⊎←↗)","cot":[{"info":"≴∭⊉15404⊢≴∭⊉6260=≴∭⊉-34610","layer":3},{"info":"≴∭⊉5146⩦≴∭⊉6254=≴∭⊉13325","layer":3},{"info":"≴∭⊉-34610⫁≴∭⊉13325=≴∭⊉316","layer":2},{"info":"≴∭⊉316⩤=≴∭⊉-316","layer":1},{"info":"≴∭⊉3161↸≴∭⊉26142=≴∭⊉3161","layer":3},{"info":"≴∭⊉11412⫩=NaN","layer":3},{"info":"≴∭⊉3161⨸⪁NaN=NaN","layer":2},{"info":"≴∭⊉3354⩼⇪↪≴∭⊉23053=≴∭⊉-222655","layer":3},{"info":"≴∭⊉-222655⊎←↗=≴∭⊉450642","layer":2},{"info":"NaN↙≴∭⊉450642=NaN","layer":1},{"info":"≴∭⊉-316⫚↹⊑NaN=≴∭⊉-1206","layer":0}]}
+{"id":398,"expression_no_base_symbol":"((⪝⪂⫅($2492$≒∊$1220$))⪚($3575$≁$1168$⫥∨⫟$3206$⪇≇⋚$4663$))⇂≾⫗($1626$≨$1421$⊬⫿⊭)⇻⋧≁(($1170$⇣⩺⋵$2919$)≝⊿($4090$⇮⋭$3665$))","expression":"((⪝⪂⫅(≴∭⊉10160≒∊≴∭⊉3362))⪚(≴∭⊉13265≁≴∭⊉3256⫥∨⫟≴∭⊉12230⪇≇⋚≴∭⊉16411))⇂≾⫗(≴∭⊉4512≨≴∭⊉4100⊬⫿⊭)⇻⋧≁((≴∭⊉3261⇣⩺⋵≴∭⊉11340)≝⊿(≴∭⊉14632⇮⋭≴∭⊉13454))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":14693,"operation_count":13,"complexity_ratio":1130.2307692307693,"tree":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":2492,"base":7},"right_expr":{"type":"numeric_atoms","value":1220,"base":7}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":3575,"base":7},"right_expr":{"type":"numeric_atoms","value":1168,"base":7}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":3206,"base":7},"right_expr":{"type":"numeric_atoms","value":4663,"base":7}}}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"unary","operator":"⊬⫿⊭","unary_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":1626,"base":7},"right_expr":{"type":"numeric_atoms","value":1421,"base":7}}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":1170,"base":7},"right_expr":{"type":"numeric_atoms","value":2919,"base":7}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":4090,"base":7},"right_expr":{"type":"numeric_atoms","value":3665,"base":7}}}}},"used_operators":["aBQ6xLxuTc","HrjLwUk87U","XTarYq4gQB","5KTvxBwnZo","KYD54nUTWz","8N2wDY1A35","3sJ7IOPOlU","jCPkEVoL5K","v0DYgG9ikt","0KMCeP1Jsh","OKKcZfAt5B","F4yD0voBRQ","vkpjKywKVM"],"dependent_operators":["g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","9HNa5Wba9A","8w2t5hMYqp","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","8HhzD0ZcuI","rGHVDoGpnC","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","eLAdDNolq6","P8v4zCKN1o","7j4O788W3g","8w2t5hMYqp","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","12rbrZMWeM","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2492","layer":4},{"info":"number node, value=1220","layer":4},{"info":"compute binary expreesion, left_input=2492, right_input=1220, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-2008","layer":3},{"info":"compute unary expreesion, input=-2008, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=295176","layer":2},{"info":"number node, value=3575","layer":4},{"info":"number node, value=1168","layer":4},{"info":"compute binary expreesion, left_input=3575, right_input=1168, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=14831","layer":3},{"info":"number node, value=3206","layer":4},{"info":"number node, value=4663","layer":4},{"info":"compute binary expreesion, left_input=3206, right_input=4663, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=14831, right_input=0, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=295176, right_input=nan, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=nan","layer":1},{"info":"number node, value=1626","layer":4},{"info":"number node, value=1421","layer":4},{"info":"compute binary expreesion, left_input=1626, right_input=1421, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-13784","layer":3},{"info":"compute unary expreesion, input=-13784, op_id = v0DYgG9ikt, unary_op_definition = 'a⊬⫿⊭ = { ((⨑⩽⪐(≤/a))↺((⨞⊢a)⨰(↽≂188))) , if a<119 ; (((∥⊫a)⨳⩥⨓(a⨵⪆a))↺(⊄⩳↩(a⋝⋈⪟a))) , else }', output=13996","layer":2},{"info":"number node, value=1170","layer":4},{"info":"number node, value=2919","layer":4},{"info":"compute binary expreesion, left_input=1170, right_input=2919, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-1096","layer":3},{"info":"number node, value=4090","layer":4},{"info":"number node, value=3665","layer":4},{"info":"compute binary expreesion, left_input=4090, right_input=3665, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute binary expreesion, left_input=-1096, right_input=-473, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=1509","layer":2},{"info":"compute binary expreesion, left_input=13996, right_input=1509, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-447, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((⪝⪂⫅(≴∭⊉10160≒∊≴∭⊉3362))⪚(≴∭⊉13265≁≴∭⊉3256⫥∨⫟≴∭⊉12230⪇≇⋚≴∭⊉16411))⇂≾⫗(≴∭⊉4512≨≴∭⊉4100⊬⫿⊭)⇻⋧≁((≴∭⊉3261⇣⩺⋵≴∭⊉11340)≝⊿(≴∭⊉14632⇮⋭≴∭⊉13454))=NaN","reverse_text":"NaN=((⪝⪂⫅(≴∭⊉10160≒∊≴∭⊉3362))⪚(≴∭⊉13265≁≴∭⊉3256⫥∨⫟≴∭⊉12230⪇≇⋚≴∭⊉16411))⇂≾⫗(≴∭⊉4512≨≴∭⊉4100⊬⫿⊭)⇻⋧≁((≴∭⊉3261⇣⩺⋵≴∭⊉11340)≝⊿(≴∭⊉14632⇮⋭≴∭⊉13454))","cot":[{"info":"≴∭⊉10160≒∊≴∭⊉3362=≴∭⊉-5566","layer":3},{"info":"⪝⪂⫅≴∭⊉-5566=≴∭⊉2336400","layer":2},{"info":"≴∭⊉13265≁≴∭⊉3256=≴∭⊉61145","layer":3},{"info":"≴∭⊉12230⪇≇⋚≴∭⊉16411=≴∭⊉0","layer":3},{"info":"≴∭⊉61145⫥∨⫟≴∭⊉0=NaN","layer":2},{"info":"≴∭⊉2336400⪚NaN=NaN","layer":1},{"info":"≴∭⊉4512≨≴∭⊉4100=≴∭⊉-55121","layer":3},{"info":"≴∭⊉-55121⊬⫿⊭=≴∭⊉55543","layer":2},{"info":"≴∭⊉3261⇣⩺⋵≴∭⊉11340=≴∭⊉-3124","layer":3},{"info":"≴∭⊉14632⇮⋭≴∭⊉13454=≴∭⊉-1244","layer":3},{"info":"≴∭⊉-3124≝⊿≴∭⊉-1244=≴∭⊉4254","layer":2},{"info":"≴∭⊉55543⇻⋧≁≴∭⊉4254=≴∭⊉-1206","layer":1},{"info":"NaN⇂≾⫗≴∭⊉-1206=NaN","layer":0}]}
+{"id":399,"expression_no_base_symbol":"((≛$4622$≓∲$4423$)⋖∅⋲)⊉↱≁(⊗($4388$⇻⋧≁$2912$⊎←↗))","expression":"((≛≴∭⊉16322≓∲≴∭⊉15616)⋖∅⋲)⊉↱≁(⊗(≴∭⊉15536⇻⋧≁≴∭⊉11330⊎←↗))","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":4569,"operation_count":7,"complexity_ratio":652.7142857142857,"tree":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"unary","operator":"⋖∅⋲","unary_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":4622,"base":7},"right_expr":{"type":"numeric_atoms","value":4423,"base":7}}}},"right_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"unary","operator":"⊎←↗","unary_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":4388,"base":7},"right_expr":{"type":"numeric_atoms","value":2912,"base":7}}}}},"used_operators":["w2P8NbNXyL","L95AwlJzhO","W7eaUhjymW","s1XTVnmDOJ","RhiyfpczSx","dwb5p0fa6d","jCPkEVoL5K"],"dependent_operators":["9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","gx7XJ7hdpj","3nqY3DE9mg","XTarYq4gQB","y4ImoPnbV5","i8ToyICDmI","xNBdhnnwKq","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","sdazOOVcIp","COABgblf1C","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe"],"result":"≴∭⊉106043","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4622","layer":4},{"info":"number node, value=4423","layer":4},{"info":"compute binary expreesion, left_input=4622, right_input=4423, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=47003","layer":3},{"info":"compute unary expreesion, input=47003, op_id = W7eaUhjymW, unary_op_definition = '≛a = { (((a+a)⊉≛↸(a⪠⩆⊳))⊭↱((a⪒a)⩚⊴⇥(a⋝⋈⪟a))) , if (a⫩⊇)>7 or a==273 ; (((a-a)⪒(a⪨≂a))⊉≛↸((a⨰a)⋝⋈⪟(a+a))) , else }', output=-10","layer":2},{"info":"compute unary expreesion, input=-10, op_id = L95AwlJzhO, unary_op_definition = 'a⋖∅⋲ = { ((⪝⪂⫅431)⊍) , if (a∲⫓500)>7 ; ((a∽304)⫸⇳(a⊭∹↮)) , else }', output=0","layer":1},{"info":"number node, value=4388","layer":4},{"info":"number node, value=2912","layer":4},{"info":"compute binary expreesion, left_input=4388, right_input=2912, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"compute unary expreesion, input=-447, op_id = dwb5p0fa6d, unary_op_definition = 'a⊎←↗ = { (a⊭↱340) , if (a⪨≂940)!=203 ; (a⊭↱a) , else }', output=1579","layer":2},{"info":"compute unary expreesion, input=1579, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-3158","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-3158, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=18896","layer":0}],"base":7,"result_base":7,"text":"((≛≴∭⊉16322≓∲≴∭⊉15616)⋖∅⋲)⊉↱≁(⊗(≴∭⊉15536⇻⋧≁≴∭⊉11330⊎←↗))=≴∭⊉106043","reverse_text":"≴∭⊉106043=((≛≴∭⊉16322≓∲≴∭⊉15616)⋖∅⋲)⊉↱≁(⊗(≴∭⊉15536⇻⋧≁≴∭⊉11330⊎←↗))","cot":[{"info":"≴∭⊉16322≓∲≴∭⊉15616=≴∭⊉254015","layer":3},{"info":"≛≴∭⊉254015=≴∭⊉-13","layer":2},{"info":"≴∭⊉-13⋖∅⋲=≴∭⊉0","layer":1},{"info":"≴∭⊉15536⇻⋧≁≴∭⊉11330=≴∭⊉-1206","layer":3},{"info":"≴∭⊉-1206⊎←↗=≴∭⊉4414","layer":2},{"info":"⊗≴∭⊉4414=≴∭⊉-12131","layer":1},{"info":"≴∭⊉0⊉↱≁≴∭⊉-12131=≴∭⊉106043","layer":0}]}
+{"id":400,"expression_no_base_symbol":"((≔$1208$⇡⇂$3289$)∘((⊈$8439$)⊹≧⊝))⩦((∤↝$6449$)∠⫱$7205$∘$1033$+$1498$⫁$2162$⪄$3639$⩼⇪↪$3504$)","expression":"((≔≴∭⊉3344⇡⇂≴∭⊉12406)∘((⊈≴∭⊉33414)⊹≧⊝))⩦((∤↝≴∭⊉24542)∠⫱≴∭⊉30002∘≴∭⊉3004+≴∭⊉4240⫁≴∭⊉6206⪄≴∭⊉13416⩼⇪↪≴∭⊉13134)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":16319,"operation_count":13,"complexity_ratio":1255.3076923076924,"tree":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":1208,"base":7},"right_expr":{"type":"numeric_atoms","value":3289,"base":7}}},"right_expr":{"type":"unary","operator":"⊹≧⊝","unary_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"numeric_atoms","value":8439,"base":7}}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"numeric_atoms","value":6449,"base":7}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":7205,"base":7},"right_expr":{"type":"numeric_atoms","value":1033,"base":7}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":1498,"base":7},"right_expr":{"type":"numeric_atoms","value":2162,"base":7}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":3639,"base":7},"right_expr":{"type":"numeric_atoms","value":3504,"base":7}}}}},"used_operators":["0kmYd0q39Y","Z5m6OM72h2","8FLs4eVsLt","UMwdvZNt44","LxFB4K6j0n","RHru8klgy8","W4YGzv6Whe","QvoQhV0rrE","3UMq87Qwqg","SUmda5xLS4","0ajvFaJAv0","ocnLzx9CaJ"],"dependent_operators":["N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","eH2TOUuTDT","rysDP5nf3Z","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","NTOWxs364D","P8v4zCKN1o","XPYlsWDdGa","DZ8iAZOCBD","t8gj7n24qd","g55IO6H4Gj","eewbuw0ToL","i8ToyICDmI","COABgblf1C","12rbrZMWeM","xUOZtlo3hN","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","cHh1gJQ2o6","AHs5Up7iyr","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1208","layer":4},{"info":"number node, value=3289","layer":4},{"info":"compute binary expreesion, left_input=1208, right_input=3289, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=nan","layer":2},{"info":"number node, value=8439","layer":4},{"info":"compute unary expreesion, input=8439, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-8613","layer":3},{"info":"compute unary expreesion, input=-8613, op_id = LxFB4K6j0n, unary_op_definition = 'a⊹≧⊝ = { (((∥⊫a)⊭↱(a⩚⊴⇥a))⊉≛↸(⪲⇎(⪲⇎a))) , if a!=566 ; (-((a∲⫓a)⨸⪁(a⨰a))) , else }', output=68650","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=68650, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=nan","layer":1},{"info":"number node, value=6449","layer":4},{"info":"compute unary expreesion, input=6449, op_id = 3UMq87Qwqg, unary_op_definition = '∤↝a = { a , if ((a⊬⨰244)<=56 or (⫇a)>308 or (a⨐673)<=60) ; (((↩⪖a)⩼⇪↪(57∝206))↺(↩(⊲⪭a))) , else }', output=6449","layer":3},{"info":"number node, value=7205","layer":4},{"info":"number node, value=1033","layer":4},{"info":"compute binary expreesion, left_input=7205, right_input=1033, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=14410","layer":3},{"info":"compute binary expreesion, left_input=6449, right_input=14410, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":2},{"info":"number node, value=1498","layer":4},{"info":"number node, value=2162","layer":4},{"info":"compute binary expreesion, left_input=1498, right_input=2162, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"number node, value=3639","layer":4},{"info":"number node, value=3504","layer":4},{"info":"compute binary expreesion, left_input=3639, right_input=3504, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-18033","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-18033, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=52363","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=52363, op_id = W4YGzv6Whe binary_op_definition= 'None', output=53597","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=53597, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((≔≴∭⊉3344⇡⇂≴∭⊉12406)∘((⊈≴∭⊉33414)⊹≧⊝))⩦((∤↝≴∭⊉24542)∠⫱≴∭⊉30002∘≴∭⊉3004+≴∭⊉4240⫁≴∭⊉6206⪄≴∭⊉13416⩼⇪↪≴∭⊉13134)=NaN","reverse_text":"NaN=((≔≴∭⊉3344⇡⇂≴∭⊉12406)∘((⊈≴∭⊉33414)⊹≧⊝))⩦((∤↝≴∭⊉24542)∠⫱≴∭⊉30002∘≴∭⊉3004+≴∭⊉4240⫁≴∭⊉6206⪄≴∭⊉13416⩼⇪↪≴∭⊉13134)","cot":[{"info":"≴∭⊉3344⇡⇂≴∭⊉12406=NaN","layer":3},{"info":"≔NaN=NaN","layer":2},{"info":"⊈≴∭⊉33414=≴∭⊉-34053","layer":3},{"info":"≴∭⊉-34053⊹≧⊝=≴∭⊉404101","layer":2},{"info":"NaN∘≴∭⊉404101=NaN","layer":1},{"info":"∤↝≴∭⊉24542=≴∭⊉24542","layer":3},{"info":"≴∭⊉30002∘≴∭⊉3004=≴∭⊉60004","layer":3},{"info":"≴∭⊉24542∠⫱≴∭⊉60004=≴∭⊉3412","layer":2},{"info":"≴∭⊉4240⫁≴∭⊉6206=≴∭⊉316","layer":3},{"info":"≴∭⊉13416⩼⇪↪≴∭⊉13134=≴∭⊉-103401","layer":3},{"info":"≴∭⊉316⪄≴∭⊉-103401=≴∭⊉305443","layer":2},{"info":"≴∭⊉3412+≴∭⊉305443=≴∭⊉312155","layer":1},{"info":"NaN⩦≴∭⊉312155=NaN","layer":0}]}
+{"id":401,"expression_no_base_symbol":"((∓⪦$1208$)⩘($1336$⨸⪁$6636$)↱(⨂⪏⇭$2389$)⨥⫆$2622$⨽∌$2690$)⋛((↑$5239$≌$1988$)↓⨍⋜)","expression":"((∓⪦≴∭⊉3344)⩘(≴∭⊉3616⨸⪁≴∭⊉25230)↱(⨂⪏⇭≴∭⊉6652)⨥⫆≴∭⊉10434⨽∌≴∭⊉10562)⋛((↑≴∭⊉21163≌≴∭⊉5540)↓⨍⋜)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2755,"operation_count":11,"complexity_ratio":250.45454545454547,"tree":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"numeric_atoms","value":1208,"base":7}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1336,"base":7},"right_expr":{"type":"numeric_atoms","value":6636,"base":7}}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"numeric_atoms","value":2389,"base":7}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":2622,"base":7},"right_expr":{"type":"numeric_atoms","value":2690,"base":7}}}},"right_expr":{"type":"unary","operator":"↓⨍⋜","unary_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":5239,"base":7},"right_expr":{"type":"numeric_atoms","value":1988,"base":7}}}}},"used_operators":["YbUVn0Rbpy","SR5kFfdi6N","cHh1gJQ2o6","D309nIvmXG","g55IO6H4Gj","yXekIHxTD4","AYdpE9sXAk","9samAPKr6k","3DVzLFNsE9","tR7O2zTn5j","lyWz822IDG"],"dependent_operators":["d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","W4YGzv6Whe","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","OKKcZfAt5B","zR4jO40bMj","XnXgA4xnOs","o20kRiQErp","7t3wd0Fuz7","Z5m6OM72h2","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1208","layer":4},{"info":"compute unary expreesion, input=1208, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=800","layer":3},{"info":"number node, value=1336","layer":4},{"info":"number node, value=6636","layer":4},{"info":"compute binary expreesion, left_input=1336, right_input=6636, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=15944","layer":3},{"info":"compute binary expreesion, left_input=800, right_input=15944, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":2},{"info":"number node, value=2389","layer":4},{"info":"compute unary expreesion, input=2389, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=6188","layer":3},{"info":"number node, value=2622","layer":4},{"info":"number node, value=2690","layer":4},{"info":"compute binary expreesion, left_input=2622, right_input=2690, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=6188, right_input=0, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=-1156","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-1156, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=6064","layer":1},{"info":"number node, value=5239","layer":4},{"info":"number node, value=1988","layer":4},{"info":"compute binary expreesion, left_input=5239, right_input=1988, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 3DVzLFNsE9, unary_op_definition = 'a↓⨍⋜ = { (((a≝⊿a)⪶≀⋏(a∸))⨑≵⋬((a⋥⋵⩄a)∘(a⪶≀⋏a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=6064, right_input=nan, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((∓⪦≴∭⊉3344)⩘(≴∭⊉3616⨸⪁≴∭⊉25230)↱(⨂⪏⇭≴∭⊉6652)⨥⫆≴∭⊉10434⨽∌≴∭⊉10562)⋛((↑≴∭⊉21163≌≴∭⊉5540)↓⨍⋜)=NaN","reverse_text":"NaN=((∓⪦≴∭⊉3344)⩘(≴∭⊉3616⨸⪁≴∭⊉25230)↱(⨂⪏⇭≴∭⊉6652)⨥⫆≴∭⊉10434⨽∌≴∭⊉10562)⋛((↑≴∭⊉21163≌≴∭⊉5540)↓⨍⋜)","cot":[{"info":"∓⪦≴∭⊉3344=≴∭⊉2222","layer":3},{"info":"≴∭⊉3616⨸⪁≴∭⊉25230=≴∭⊉64325","layer":3},{"info":"≴∭⊉2222⩘≴∭⊉64325=≴∭⊉316","layer":2},{"info":"⨂⪏⇭≴∭⊉6652=≴∭⊉24020","layer":3},{"info":"≴∭⊉10434⨽∌≴∭⊉10562=≴∭⊉0","layer":3},{"info":"≴∭⊉24020⨥⫆≴∭⊉0=≴∭⊉-3241","layer":2},{"info":"≴∭⊉316↱≴∭⊉-3241=≴∭⊉23452","layer":1},{"info":"≴∭⊉21163≌≴∭⊉5540=NaN","layer":3},{"info":"↑NaN=NaN","layer":2},{"info":"NaN↓⨍⋜=NaN","layer":1},{"info":"≴∭⊉23452⋛NaN=NaN","layer":0}]}
+{"id":402,"expression_no_base_symbol":"(⫖→($2783$⩁))⪕((⫇$5479$)⊬⫿⊭)⋥≓≎(⪨⨬$1139$)≹⇙⪍($4085$∖$2022$)≠≀(⩷⨜⫀$6818$↤⩊$4125$)","expression":"(⫖→(≴∭⊉11054⩁))⪕((⫇≴∭⊉21655)⊬⫿⊭)⋥≓≎(⪨⨬≴∭⊉3215)≹⇙⪍(≴∭⊉14624∖≴∭⊉5616)≠≀(⩷⨜⫀≴∭⊉25610↤⩊≴∭⊉15012)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":20317,"operation_count":12,"complexity_ratio":1693.0833333333333,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"unary","operator":"⩁","unary_expr":{"type":"numeric_atoms","value":2783,"base":7}}},"right_expr":{"type":"unary","operator":"⊬⫿⊭","unary_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"numeric_atoms","value":5479,"base":7}}}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"numeric_atoms","value":1139,"base":7}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":4085,"base":7},"right_expr":{"type":"numeric_atoms","value":2022,"base":7}}},"right_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":6818,"base":7},"right_expr":{"type":"numeric_atoms","value":4125,"base":7}}}}},"used_operators":["Qy55tPpLXF","umQnsF7QlU","U4ylXWHChL","5GqDbVmqXU","v0DYgG9ikt","YjI8oCXuph","IwW236VD4Y","AHs5Up7iyr","5obUd6DV38","tXD093vOjl","CDi0ktkjQ4","13rbtpv6ld"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","7j4O788W3g","jLgFTUHLKL","8cLx32lpNA","eLAdDNolq6","P8v4zCKN1o","7j4O788W3g","8w2t5hMYqp","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","dWAJyo7jo9","T2fj7uvVaJ","nlCqmYiOvY","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","ruOEQAzv1W","nhYeJWJD5X","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY"],"result":"≴∭⊉3254","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2783","layer":4},{"info":"compute unary expreesion, input=2783, op_id = 5GqDbVmqXU, unary_op_definition = 'a⩁ = { ((↩a)∌(a↺a)) }', output=-19484","layer":3},{"info":"compute unary expreesion, input=-19484, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":2},{"info":"number node, value=5479","layer":4},{"info":"compute unary expreesion, input=5479, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-9744","layer":3},{"info":"compute unary expreesion, input=-9744, op_id = v0DYgG9ikt, unary_op_definition = 'a⊬⫿⊭ = { ((⨑⩽⪐(≤/a))↺((⨞⊢a)⨰(↽≂188))) , if a<119 ; (((∥⊫a)⨳⩥⨓(a⨵⪆a))↺(⊄⩳↩(a⋝⋈⪟a))) , else }', output=9956","layer":2},{"info":"compute binary expreesion, left_input=177, right_input=9956, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=-55","layer":1},{"info":"number node, value=1139","layer":4},{"info":"compute unary expreesion, input=1139, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":3},{"info":"number node, value=4085","layer":4},{"info":"number node, value=2022","layer":4},{"info":"compute binary expreesion, left_input=4085, right_input=2022, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-526, right_input=0, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=-526","layer":2},{"info":"number node, value=6818","layer":4},{"info":"number node, value=4125","layer":4},{"info":"compute binary expreesion, left_input=6818, right_input=4125, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-134","layer":2},{"info":"compute binary expreesion, left_input=-526, right_input=-134, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=539","layer":1},{"info":"compute binary expreesion, left_input=-55, right_input=539, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1166","layer":0}],"base":7,"result_base":7,"text":"(⫖→(≴∭⊉11054⩁))⪕((⫇≴∭⊉21655)⊬⫿⊭)⋥≓≎(⪨⨬≴∭⊉3215)≹⇙⪍(≴∭⊉14624∖≴∭⊉5616)≠≀(⩷⨜⫀≴∭⊉25610↤⩊≴∭⊉15012)=≴∭⊉3254","reverse_text":"≴∭⊉3254=(⫖→(≴∭⊉11054⩁))⪕((⫇≴∭⊉21655)⊬⫿⊭)⋥≓≎(⪨⨬≴∭⊉3215)≹⇙⪍(≴∭⊉14624∖≴∭⊉5616)≠≀(⩷⨜⫀≴∭⊉25610↤⩊≴∭⊉15012)","cot":[{"info":"≴∭⊉11054⩁=≴∭⊉-110543","layer":3},{"info":"⫖→≴∭⊉-110543=≴∭⊉342","layer":2},{"info":"⫇≴∭⊉21655=≴∭⊉-40260","layer":3},{"info":"≴∭⊉-40260⊬⫿⊭=≴∭⊉41012","layer":2},{"info":"≴∭⊉342⪕≴∭⊉41012=≴∭⊉-106","layer":1},{"info":"⪨⨬≴∭⊉3215=≴∭⊉-1351","layer":3},{"info":"≴∭⊉14624∖≴∭⊉5616=≴∭⊉0","layer":3},{"info":"≴∭⊉-1351≹⇙⪍≴∭⊉0=≴∭⊉-1351","layer":2},{"info":"≴∭⊉25610↤⩊≴∭⊉15012=NaN","layer":3},{"info":"⩷⨜⫀NaN=≴∭⊉-251","layer":2},{"info":"≴∭⊉-1351≠≀≴∭⊉-251=≴∭⊉1400","layer":1},{"info":"≴∭⊉-106⋥≓≎≴∭⊉1400=≴∭⊉3254","layer":0}]}
+{"id":403,"expression_no_base_symbol":"⫡⇟⇯($3529$⩘$2512$⋝⋈⪟($5810$∕⩚$1363$)⨵⪆$1416$⨪↰⇹$8160$⇄$2260$∺≝⩲$2402$)","expression":"⫡⇟⇯(≴∭⊉13201⩘≴∭⊉10216⋝⋈⪟(≴∭⊉22640∕⩚≴∭⊉3655)⨵⪆≴∭⊉4062⨪↰⇹≴∭⊉32535⇄≴∭⊉6406∺≝⩲≴∭⊉10001)","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":7361,"operation_count":8,"complexity_ratio":920.125,"tree":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":3529,"base":7},"right_expr":{"type":"numeric_atoms","value":2512,"base":7}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":5810,"base":7},"right_expr":{"type":"numeric_atoms","value":1363,"base":7}}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1416,"base":7},"right_expr":{"type":"numeric_atoms","value":8160,"base":7}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":2260,"base":7},"right_expr":{"type":"numeric_atoms","value":2402,"base":7}}}}},"used_operators":["qWUSsah53b","2DQ55sFlQl","2DDjHMKMc0","cHh1gJQ2o6","z9ffQ9n5Zr","3EYGwJThht","tmPS8pqC7x","KPf6cnQVty"],"dependent_operators":["DZ8iAZOCBD","P8v4zCKN1o","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","rJVOvQCfKK","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl"],"result":"≴∭⊉3315","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3529","layer":4},{"info":"number node, value=2512","layer":4},{"info":"compute binary expreesion, left_input=3529, right_input=2512, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"number node, value=5810","layer":4},{"info":"number node, value=1363","layer":4},{"info":"compute binary expreesion, left_input=5810, right_input=1363, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-5813","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-5813, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=160","layer":2},{"info":"number node, value=1416","layer":4},{"info":"number node, value=8160","layer":4},{"info":"compute binary expreesion, left_input=1416, right_input=8160, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1416","layer":3},{"info":"number node, value=2260","layer":4},{"info":"number node, value=2402","layer":4},{"info":"compute binary expreesion, left_input=2260, right_input=2402, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=1416, right_input=160, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=0, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"compute unary expreesion, input=160, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=1188","layer":0}],"base":7,"result_base":7,"text":"⫡⇟⇯(≴∭⊉13201⩘≴∭⊉10216⋝⋈⪟(≴∭⊉22640∕⩚≴∭⊉3655)⨵⪆≴∭⊉4062⨪↰⇹≴∭⊉32535⇄≴∭⊉6406∺≝⩲≴∭⊉10001)=≴∭⊉3315","reverse_text":"≴∭⊉3315=⫡⇟⇯(≴∭⊉13201⩘≴∭⊉10216⋝⋈⪟(≴∭⊉22640∕⩚≴∭⊉3655)⨵⪆≴∭⊉4062⨪↰⇹≴∭⊉32535⇄≴∭⊉6406∺≝⩲≴∭⊉10001)","cot":[{"info":"≴∭⊉13201⩘≴∭⊉10216=≴∭⊉316","layer":3},{"info":"≴∭⊉22640∕⩚≴∭⊉3655=≴∭⊉-22643","layer":3},{"info":"≴∭⊉316⋝⋈⪟≴∭⊉-22643=≴∭⊉316","layer":2},{"info":"≴∭⊉4062⨪↰⇹≴∭⊉32535=≴∭⊉4062","layer":3},{"info":"≴∭⊉6406∺≝⩲≴∭⊉10001=≴∭⊉316","layer":3},{"info":"≴∭⊉4062⇄≴∭⊉316=≴∭⊉0","layer":2},{"info":"≴∭⊉316⨵⪆≴∭⊉0=≴∭⊉316","layer":1},{"info":"⫡⇟⇯≴∭⊉316=≴∭⊉3315","layer":0}]}
+{"id":404,"expression_no_base_symbol":"((($6112$≀⫉$3674$)⊴⇁⪶)⫚↹⊑$6274$⪎↠$2760$⩘($7775$∩⋅))⨥⫆(($6500$≳⇉$1113$)⊬⨰$1143$⨑⩅≇$1017$∷(($4543$⫃⨇$1555$)⊟⇱))","expression":"(((≴∭⊉23551≀⫉≴∭⊉13466)⊴⇁⪶)⫚↹⊑≴∭⊉24202⪎↠≴∭⊉11022⩘(≴∭⊉31445∩⋅))⨥⫆((≴∭⊉24644≳⇉≴∭⊉3150)⊬⨰≴∭⊉3222⨑⩅≇≴∭⊉2652∷((≴∭⊉16150⫃⨇≴∭⊉4351)⊟⇱))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":20122169,"operation_count":13,"complexity_ratio":1547859.1538461538,"tree":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"unary","operator":"⊴⇁⪶","unary_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":6112,"base":7},"right_expr":{"type":"numeric_atoms","value":3674,"base":7}}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":6274,"base":7},"right_expr":{"type":"numeric_atoms","value":2760,"base":7}},"right_expr":{"type":"unary","operator":"∩⋅","unary_expr":{"type":"numeric_atoms","value":7775,"base":7}}}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":6500,"base":7},"right_expr":{"type":"numeric_atoms","value":1113,"base":7}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":1143,"base":7},"right_expr":{"type":"numeric_atoms","value":1017,"base":7}}},"right_expr":{"type":"unary","operator":"⊟⇱","unary_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":4543,"base":7},"right_expr":{"type":"numeric_atoms","value":1555,"base":7}}}}},"used_operators":["yXekIHxTD4","dfKe02y8D2","oo9mF6JIpo","oZj3VtZNQx","cHh1gJQ2o6","3tVxb0NHM4","2MzE1hQ0cz","D3AQDKkPcf","s3Fd5m9Dh2","V0kx6qeWkN","h92wMvzauj","03sUfWo75k","09Ly4LVMIf"],"dependent_operators":["eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","L05ObWFQCd","oacrs7FA3X","2Wsdkap16l","zR4jO40bMj","HrjLwUk87U","YSKBFp38Pu","cHh1gJQ2o6","tmPS8pqC7x","YbVcJGFEVW","12rbrZMWeM","DmTXOeWf9t","RhiyfpczSx","uOZ1tnYMDE","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","Qy55tPpLXF","9FxExcQeMw","NTOWxs364D","7j4O788W3g","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","IWmyXbctLI","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6112","layer":4},{"info":"number node, value=3674","layer":4},{"info":"compute binary expreesion, left_input=6112, right_input=3674, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"compute unary expreesion, input=2822, op_id = oo9mF6JIpo, unary_op_definition = 'a⊴⇁⪶ = { (⊗((157⇤a)⋳⪒(a⨪↰⇹a))) , if ((a⪶≀⋏180)>=510 or (a⩘665)!=249) ; (((a⪍↜⋙a)≃(a⪚343))⪘⫢((a⩹a)⊲⩕⊾(⩏⊷≩a))) , else }', output=54406","layer":2},{"info":"number node, value=6274","layer":4},{"info":"number node, value=2760","layer":4},{"info":"compute binary expreesion, left_input=6274, right_input=2760, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"number node, value=7775","layer":4},{"info":"compute unary expreesion, input=7775, op_id = 2MzE1hQ0cz, unary_op_definition = 'a∩⋅ = { (a⋥≓≎44) }', output=-7654","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-7654, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=54406, right_input=160, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":1},{"info":"number node, value=6500","layer":4},{"info":"number node, value=1113","layer":4},{"info":"compute binary expreesion, left_input=6500, right_input=1113, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"number node, value=1143","layer":4},{"info":"number node, value=1017","layer":4},{"info":"compute binary expreesion, left_input=1143, right_input=1017, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-3429","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3429, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=nan","layer":2},{"info":"number node, value=4543","layer":4},{"info":"number node, value=1555","layer":4},{"info":"compute binary expreesion, left_input=4543, right_input=1555, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-6252","layer":3},{"info":"compute unary expreesion, input=-6252, op_id = 03sUfWo75k, unary_op_definition = 'a⊟⇱ = { (a⪮%⊝a) }', output=-12188","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-12188, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-447, right_input=nan, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(((≴∭⊉23551≀⫉≴∭⊉13466)⊴⇁⪶)⫚↹⊑≴∭⊉24202⪎↠≴∭⊉11022⩘(≴∭⊉31445∩⋅))⨥⫆((≴∭⊉24644≳⇉≴∭⊉3150)⊬⨰≴∭⊉3222⨑⩅≇≴∭⊉2652∷((≴∭⊉16150⫃⨇≴∭⊉4351)⊟⇱))=NaN","reverse_text":"NaN=(((≴∭⊉23551≀⫉≴∭⊉13466)⊴⇁⪶)⫚↹⊑≴∭⊉24202⪎↠≴∭⊉11022⩘(≴∭⊉31445∩⋅))⨥⫆((≴∭⊉24644≳⇉≴∭⊉3150)⊬⨰≴∭⊉3222⨑⩅≇≴∭⊉2652∷((≴∭⊉16150⫃⨇≴∭⊉4351)⊟⇱))","cot":[{"info":"≴∭⊉23551≀⫉≴∭⊉13466=≴∭⊉11141","layer":3},{"info":"≴∭⊉11141⊴⇁⪶=≴∭⊉314422","layer":2},{"info":"≴∭⊉24202⪎↠≴∭⊉11022=≴∭⊉316","layer":3},{"info":"≴∭⊉31445∩⋅=≴∭⊉-31213","layer":3},{"info":"≴∭⊉316⩘≴∭⊉-31213=≴∭⊉316","layer":2},{"info":"≴∭⊉314422⫚↹⊑≴∭⊉316=≴∭⊉-1206","layer":1},{"info":"≴∭⊉24644≳⇉≴∭⊉3150=NaN","layer":3},{"info":"≴∭⊉3222⨑⩅≇≴∭⊉2652=≴∭⊉-12666","layer":3},{"info":"NaN⊬⨰≴∭⊉-12666=NaN","layer":2},{"info":"≴∭⊉16150⫃⨇≴∭⊉4351=≴∭⊉-24141","layer":3},{"info":"≴∭⊉-24141⊟⇱=≴∭⊉-50351","layer":2},{"info":"NaN∷≴∭⊉-50351=NaN","layer":1},{"info":"≴∭⊉-1206⨥⫆NaN=NaN","layer":0}]}
+{"id":405,"expression_no_base_symbol":"(⩦⊞($1382$≚⊃≕$3126$))⊱⇼⊻($3186$∕⩚$1270$)∋($6842$⋻⩜⩜$1088$)⩍⋽⫝̸(∜⨇(($5032$⊟⇱)⊅))","expression":"(⩦⊞(≴∭⊉4013≚⊃≕≴∭⊉12054))⊱⇼⊻(≴∭⊉12201∕⩚≴∭⊉3463)∋(≴∭⊉25643⋻⩜⩜≴∭⊉3113)⩍⋽⫝̸(∜⨇((≴∭⊉20446⊟⇱)⊅))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":19644,"operation_count":10,"complexity_ratio":1964.4,"tree":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":1382,"base":7},"right_expr":{"type":"numeric_atoms","value":3126,"base":7}}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":3186,"base":7},"right_expr":{"type":"numeric_atoms","value":1270,"base":7}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":6842,"base":7},"right_expr":{"type":"numeric_atoms","value":1088,"base":7}}}},"right_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"unary","operator":"⊅","unary_expr":{"type":"unary","operator":"⊟⇱","unary_expr":{"type":"numeric_atoms","value":5032,"base":7}}}}},"used_operators":["BiWNJpBvwn","FyVja0WsTP","u7fv1HBiaC","Bmrmz2XGnR","ukq6epAj5P","z9ffQ9n5Zr","oDCm7WA9JY","uFPyJr306J","7p6YLioM7f","03sUfWo75k"],"dependent_operators":["Ph9nP6C5qx","xUOZtlo3hN","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","SUmda5xLS4","vg4gO5BX6G","HrjLwUk87U","IWmyXbctLI"],"result":"≴∭⊉-416","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1382","layer":4},{"info":"number node, value=3126","layer":4},{"info":"compute binary expreesion, left_input=1382, right_input=3126, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=-10110","layer":3},{"info":"compute unary expreesion, input=-10110, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-20276","layer":2},{"info":"number node, value=3186","layer":4},{"info":"number node, value=1270","layer":4},{"info":"compute binary expreesion, left_input=3186, right_input=1270, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-3189","layer":3},{"info":"number node, value=6842","layer":4},{"info":"number node, value=1088","layer":4},{"info":"compute binary expreesion, left_input=6842, right_input=1088, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=13684","layer":3},{"info":"compute binary expreesion, left_input=-3189, right_input=13684, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=28133748","layer":2},{"info":"compute binary expreesion, left_input=-20276, right_input=28133748, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=81308","layer":1},{"info":"number node, value=5032","layer":4},{"info":"compute unary expreesion, input=5032, op_id = 03sUfWo75k, unary_op_definition = 'a⊟⇱ = { (a⪮%⊝a) }', output=10380","layer":3},{"info":"compute unary expreesion, input=10380, op_id = 7p6YLioM7f, unary_op_definition = 'a⊅ = { ((a⪄a)⊨(517⪚a)) }', output=-174","layer":2},{"info":"compute unary expreesion, input=-174, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=81308, right_input=0, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=-209","layer":0}],"base":7,"result_base":7,"text":"(⩦⊞(≴∭⊉4013≚⊃≕≴∭⊉12054))⊱⇼⊻(≴∭⊉12201∕⩚≴∭⊉3463)∋(≴∭⊉25643⋻⩜⩜≴∭⊉3113)⩍⋽⫝̸(∜⨇((≴∭⊉20446⊟⇱)⊅))=≴∭⊉-416","reverse_text":"≴∭⊉-416=(⩦⊞(≴∭⊉4013≚⊃≕≴∭⊉12054))⊱⇼⊻(≴∭⊉12201∕⩚≴∭⊉3463)∋(≴∭⊉25643⋻⩜⩜≴∭⊉3113)⩍⋽⫝̸(∜⨇((≴∭⊉20446⊟⇱)⊅))","cot":[{"info":"≴∭⊉4013≚⊃≕≴∭⊉12054=≴∭⊉-41322","layer":3},{"info":"⩦⊞≴∭⊉-41322=≴∭⊉-113054","layer":2},{"info":"≴∭⊉12201∕⩚≴∭⊉3463=≴∭⊉-12204","layer":3},{"info":"≴∭⊉25643⋻⩜⩜≴∭⊉3113=≴∭⊉54616","layer":3},{"info":"≴∭⊉-12204∋≴∭⊉54616=≴∭⊉461063406","layer":2},{"info":"≴∭⊉-113054⊱⇼⊻≴∭⊉461063406=≴∭⊉456023","layer":1},{"info":"≴∭⊉20446⊟⇱=≴∭⊉42156","layer":3},{"info":"≴∭⊉42156⊅=≴∭⊉-336","layer":2},{"info":"∜⨇≴∭⊉-336=≴∭⊉0","layer":1},{"info":"≴∭⊉456023⩍⋽⫝̸≴∭⊉0=≴∭⊉-416","layer":0}]}
+{"id":406,"expression_no_base_symbol":"(∓($4539$⨔≚≋$2107$))⩦(($3647$⨼⩣$1286$)⨲∙)⇌⫙⪟((⪝⪂⫅($1508$∝$2403$))↑)","expression":"(∓(≴∭⊉16143⨔≚≋≴∭⊉6100))⩦((≴∭⊉13430⨼⩣≴∭⊉3515)⨲∙)⇌⫙⪟((⪝⪂⫅(≴∭⊉4253∝≴∭⊉10002))↑)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":838,"operation_count":9,"complexity_ratio":93.11111111111111,"tree":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":4539,"base":7},"right_expr":{"type":"numeric_atoms","value":2107,"base":7}}},"right_expr":{"type":"unary","operator":"⨲∙","unary_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":3647,"base":7},"right_expr":{"type":"numeric_atoms","value":1286,"base":7}}}},"right_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":1508,"base":7},"right_expr":{"type":"numeric_atoms","value":2403,"base":7}}}}},"used_operators":["AFVx7xoS7T","0kmYd0q39Y","OwUj7dcsQK","Z57zeUYC9z","cRahaglYVE","JxwMv5le6e","BThhyOhh10","XTarYq4gQB","cTDWOvIxvz"],"dependent_operators":["DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","XGcMNugi78","zR4jO40bMj","mp7IySMOzn","bJkvcejdHO","grXIztHqDa","dWAJyo7jo9","DmTXOeWf9t","g55IO6H4Gj","D4vGDi5EA2","A8NUZmVepG","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","i8ToyICDmI","3EYGwJThht","xNBdhnnwKq","9HNa5Wba9A","8w2t5hMYqp","7j4O788W3g","W4YGzv6Whe","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4539","layer":4},{"info":"number node, value=2107","layer":4},{"info":"compute binary expreesion, left_input=4539, right_input=2107, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"compute unary expreesion, input=9872, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-152952","layer":2},{"info":"number node, value=3647","layer":4},{"info":"number node, value=1286","layer":4},{"info":"compute binary expreesion, left_input=3647, right_input=1286, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = cRahaglYVE, unary_op_definition = 'a⨲∙ = { ((a⪢(a⇷a))⪶≀⋏(↥(30⫞⩸⩒376))) , if (a≦≮≮)>473 ; (121⨸⪁((a⊲⩕⊾a)≎⊠⪸(28⪃↞⩐))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-152952, right_input=nan, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=nan","layer":1},{"info":"number node, value=1508","layer":4},{"info":"number node, value=2403","layer":4},{"info":"compute binary expreesion, left_input=1508, right_input=2403, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=1513","layer":3},{"info":"compute unary expreesion, input=1513, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-222411","layer":2},{"info":"compute unary expreesion, input=-222411, op_id = BThhyOhh10, unary_op_definition = 'a↑ = { ((a∲⫓a)⇄(262⊭∹↮)) }', output=222","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=222, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(∓(≴∭⊉16143⨔≚≋≴∭⊉6100))⩦((≴∭⊉13430⨼⩣≴∭⊉3515)⨲∙)⇌⫙⪟((⪝⪂⫅(≴∭⊉4253∝≴∭⊉10002))↑)=NaN","reverse_text":"NaN=(∓(≴∭⊉16143⨔≚≋≴∭⊉6100))⩦((≴∭⊉13430⨼⩣≴∭⊉3515)⨲∙)⇌⫙⪟((⪝⪂⫅(≴∭⊉4253∝≴∭⊉10002))↑)","cot":[{"info":"≴∭⊉16143⨔≚≋≴∭⊉6100=≴∭⊉40532","layer":3},{"info":"∓≴∭⊉40532=≴∭⊉-1204632","layer":2},{"info":"≴∭⊉13430⨼⩣≴∭⊉3515=NaN","layer":3},{"info":"NaN⨲∙=NaN","layer":2},{"info":"≴∭⊉-1204632⩦NaN=NaN","layer":1},{"info":"≴∭⊉4253∝≴∭⊉10002=≴∭⊉4261","layer":3},{"info":"⪝⪂⫅≴∭⊉4261=≴∭⊉-1614300","layer":2},{"info":"≴∭⊉-1614300↑=≴∭⊉435","layer":1},{"info":"NaN⇌⫙⪟≴∭⊉435=NaN","layer":0}]}
+{"id":407,"expression_no_base_symbol":"(↪⫪⫘($1513$↳∿⪆$4355$⨫⇇↔($4157$⋥≓≎$1302$)))⫉⨲⊜(⨞⊢($2219$⊝⪿⪼$2957$⪹))","expression":"(↪⫪⫘(≴∭⊉4261↳∿⪆≴∭⊉15461⨫⇇↔(≴∭⊉15056⋥≓≎≴∭⊉3540)))⫉⨲⊜(⨞⊢(≴∭⊉6320⊝⪿⪼≴∭⊉11423⪹))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2573,"operation_count":8,"complexity_ratio":321.625,"tree":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":1513,"base":7},"right_expr":{"type":"numeric_atoms","value":4355,"base":7}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":4157,"base":7},"right_expr":{"type":"numeric_atoms","value":1302,"base":7}}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":2219,"base":7},"right_expr":{"type":"numeric_atoms","value":2957,"base":7}}}}},"used_operators":["WhqkvtTD3t","9dWsAM3GFt","LXhwmt4mBO","Cw4SuJJGHO","Qy55tPpLXF","xUOZtlo3hN","B3sABdIn96","3Oe9XWJUTD"],"dependent_operators":["eewbuw0ToL","zVYPLywUTj","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","e1ybzncUwg","QMFrweE19q","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q"],"result":"≴∭⊉-526630","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1513","layer":4},{"info":"number node, value=4355","layer":4},{"info":"compute binary expreesion, left_input=1513, right_input=4355, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"number node, value=4157","layer":4},{"info":"number node, value=1302","layer":4},{"info":"compute binary expreesion, left_input=4157, right_input=1302, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-1520","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1520, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":2},{"info":"compute unary expreesion, input=-527, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":1},{"info":"number node, value=2219","layer":4},{"info":"number node, value=2957","layer":4},{"info":"compute binary expreesion, left_input=2219, right_input=2957, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=43217","layer":3},{"info":"compute unary expreesion, input=43217, op_id = B3sABdIn96, unary_op_definition = 'a⪹ = { ((402⫡⨏a)⩷∴(≉a)) }', output=90926","layer":2},{"info":"compute unary expreesion, input=90926, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-91100","layer":1},{"info":"compute binary expreesion, left_input=20, right_input=-91100, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=-91210","layer":0}],"base":7,"result_base":7,"text":"(↪⫪⫘(≴∭⊉4261↳∿⪆≴∭⊉15461⨫⇇↔(≴∭⊉15056⋥≓≎≴∭⊉3540)))⫉⨲⊜(⨞⊢(≴∭⊉6320⊝⪿⪼≴∭⊉11423⪹))=≴∭⊉-526630","reverse_text":"≴∭⊉-526630=(↪⫪⫘(≴∭⊉4261↳∿⪆≴∭⊉15461⨫⇇↔(≴∭⊉15056⋥≓≎≴∭⊉3540)))⫉⨲⊜(⨞⊢(≴∭⊉6320⊝⪿⪼≴∭⊉11423⪹))","cot":[{"info":"≴∭⊉4261↳∿⪆≴∭⊉15461=NaN","layer":3},{"info":"≴∭⊉15056⋥≓≎≴∭⊉3540=≴∭⊉-4301","layer":3},{"info":"NaN⨫⇇↔≴∭⊉-4301=≴∭⊉-1352","layer":2},{"info":"↪⫪⫘≴∭⊉-1352=≴∭⊉26","layer":1},{"info":"≴∭⊉6320⊝⪿⪼≴∭⊉11423=≴∭⊉236666","layer":3},{"info":"≴∭⊉236666⪹=≴∭⊉526043","layer":2},{"info":"⨞⊢≴∭⊉526043=≴∭⊉-526412","layer":1},{"info":"≴∭⊉26⫉⨲⊜≴∭⊉-526412=≴∭⊉-526630","layer":0}]}
+{"id":408,"expression_no_base_symbol":"((∐⩳⋚$3240$)≭$7437$⫁$1761$)∣($2819$⪥$5764$⫌⩉⩟$1352$⋳⪒$5069$)⫥∨⫟(($1319$⊉≛↸$2929$)⪃⊛⇣($2765$⨥⫆$2363$)≀⩗∶((⫵↿$2386$)⫔⩽⩺($6889$⊬⫿⊭)))","expression":"((∐⩳⋚≴∭⊉12306)≭≴∭⊉30453⫁≴∭⊉5064)∣(≴∭⊉11135⪥≴∭⊉22543⫌⩉⩟≴∭⊉3641⋳⪒≴∭⊉20531)⫥∨⫟((≴∭⊉3563⊉≛↸≴∭⊉11353)⪃⊛⇣(≴∭⊉11030⨥⫆≴∭⊉6614)≀⩗∶((⫵↿≴∭⊉6646)⫔⩽⩺(≴∭⊉26041⊬⫿⊭)))","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":21745,"operation_count":15,"complexity_ratio":1449.6666666666667,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"numeric_atoms","value":3240,"base":7}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":7437,"base":7},"right_expr":{"type":"numeric_atoms","value":1761,"base":7}}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":2819,"base":7},"right_expr":{"type":"numeric_atoms","value":5764,"base":7}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1352,"base":7},"right_expr":{"type":"numeric_atoms","value":5069,"base":7}}}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1319,"base":7},"right_expr":{"type":"numeric_atoms","value":2929,"base":7}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":2765,"base":7},"right_expr":{"type":"numeric_atoms","value":2363,"base":7}}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"numeric_atoms","value":2386,"base":7}},"right_expr":{"type":"unary","operator":"⊬⫿⊭","unary_expr":{"type":"numeric_atoms","value":6889,"base":7}}}}},"used_operators":["KYD54nUTWz","PPChnnnBFF","rxpJgHHUmx","SL6IHkK8vl","0ajvFaJAv0","XIIwhv8d0m","QbnwKVWMIQ","12rbrZMWeM","8INZBEW696","rrgAzCduG9","DZ8iAZOCBD","yXekIHxTD4","i9eR4S00cU","ivGwdmUAux","v0DYgG9ikt"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","AHs5Up7iyr","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","cHh1gJQ2o6","AHs5Up7iyr","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","rysDP5nf3Z","t8gj7n24qd","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","Tw270M8GLb","fu6greOZ01","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","eLAdDNolq6","P8v4zCKN1o","7j4O788W3g","8w2t5hMYqp","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3240","layer":4},{"info":"compute unary expreesion, input=3240, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=470857","layer":3},{"info":"number node, value=7437","layer":4},{"info":"number node, value=1761","layer":4},{"info":"compute binary expreesion, left_input=7437, right_input=1761, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=470857, right_input=160, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=2819","layer":4},{"info":"number node, value=5764","layer":4},{"info":"compute binary expreesion, left_input=2819, right_input=5764, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=15928","layer":3},{"info":"number node, value=1352","layer":4},{"info":"number node, value=5069","layer":4},{"info":"compute binary expreesion, left_input=1352, right_input=5069, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-2652","layer":3},{"info":"compute binary expreesion, left_input=15928, right_input=-2652, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-50, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=nan","layer":1},{"info":"number node, value=1319","layer":4},{"info":"number node, value=2929","layer":4},{"info":"compute binary expreesion, left_input=1319, right_input=2929, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2638","layer":3},{"info":"number node, value=2765","layer":4},{"info":"number node, value=2363","layer":4},{"info":"compute binary expreesion, left_input=2765, right_input=2363, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=4602","layer":3},{"info":"compute binary expreesion, left_input=2638, right_input=4602, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":2},{"info":"number node, value=2386","layer":4},{"info":"compute unary expreesion, input=2386, op_id = ivGwdmUAux, unary_op_definition = '⫵↿a = { ((a⫃⨇256)∽(a∀⇚≩66)) , if (⇨a)>=1 ; (↯⪼(a⨫⇇↔a)) , else }', output=137","layer":3},{"info":"number node, value=6889","layer":4},{"info":"compute unary expreesion, input=6889, op_id = v0DYgG9ikt, unary_op_definition = 'a⊬⫿⊭ = { ((⨑⩽⪐(≤/a))↺((⨞⊢a)⨰(↽≂188))) , if a<119 ; (((∥⊫a)⨳⩥⨓(a⨵⪆a))↺(⊄⩳↩(a⋝⋈⪟a))) , else }', output=-20667","layer":3},{"info":"compute binary expreesion, left_input=137, right_input=-20667, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=nan, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((∐⩳⋚≴∭⊉12306)≭≴∭⊉30453⫁≴∭⊉5064)∣(≴∭⊉11135⪥≴∭⊉22543⫌⩉⩟≴∭⊉3641⋳⪒≴∭⊉20531)⫥∨⫟((≴∭⊉3563⊉≛↸≴∭⊉11353)⪃⊛⇣(≴∭⊉11030⨥⫆≴∭⊉6614)≀⩗∶((⫵↿≴∭⊉6646)⫔⩽⩺(≴∭⊉26041⊬⫿⊭)))=NaN","reverse_text":"NaN=((∐⩳⋚≴∭⊉12306)≭≴∭⊉30453⫁≴∭⊉5064)∣(≴∭⊉11135⪥≴∭⊉22543⫌⩉⩟≴∭⊉3641⋳⪒≴∭⊉20531)⫥∨⫟((≴∭⊉3563⊉≛↸≴∭⊉11353)⪃⊛⇣(≴∭⊉11030⨥⫆≴∭⊉6614)≀⩗∶((⫵↿≴∭⊉6646)⫔⩽⩺(≴∭⊉26041⊬⫿⊭)))","cot":[{"info":"∐⩳⋚≴∭⊉12306=≴∭⊉4000522","layer":3},{"info":"≴∭⊉30453⫁≴∭⊉5064=≴∭⊉316","layer":3},{"info":"≴∭⊉4000522≭≴∭⊉316=NaN","layer":2},{"info":"≴∭⊉11135⪥≴∭⊉22543=≴∭⊉64303","layer":3},{"info":"≴∭⊉3641⋳⪒≴∭⊉20531=≴∭⊉-10506","layer":3},{"info":"≴∭⊉64303⫌⩉⩟≴∭⊉-10506=≴∭⊉-101","layer":2},{"info":"NaN∣≴∭⊉-101=NaN","layer":1},{"info":"≴∭⊉3563⊉≛↸≴∭⊉11353=≴∭⊉10456","layer":3},{"info":"≴∭⊉11030⨥⫆≴∭⊉6614=≴∭⊉16263","layer":3},{"info":"≴∭⊉10456⪃⊛⇣≴∭⊉16263=≴∭⊉3412","layer":2},{"info":"⫵↿≴∭⊉6646=≴∭⊉254","layer":3},{"info":"≴∭⊉26041⊬⫿⊭=≴∭⊉-114153","layer":3},{"info":"≴∭⊉254⫔⩽⩺≴∭⊉-114153=NaN","layer":2},{"info":"≴∭⊉3412≀⩗∶NaN=NaN","layer":1},{"info":"NaN⫥∨⫟NaN=NaN","layer":0}]}
+{"id":409,"expression_no_base_symbol":"(($1330$⊲⩕⊾$2366$⩹$2494$↼⊘⨖$3698$)⊎←↗)↙(((≸$4055$)⪒$5414$⊬⨰$1064$)⩁)","expression":"((≴∭⊉3610⊲⩕⊾≴∭⊉6620⩹≴∭⊉10162↼⊘⨖≴∭⊉13532)⊎←↗)↙(((≸≴∭⊉14552)⪒≴∭⊉21533⊬⨰≴∭⊉3050)⩁)","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":150,"operation_count":9,"complexity_ratio":16.666666666666668,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⊎←↗","unary_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":1330,"base":7},"right_expr":{"type":"numeric_atoms","value":2366,"base":7}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":2494,"base":7},"right_expr":{"type":"numeric_atoms","value":3698,"base":7}}}},"right_expr":{"type":"unary","operator":"⩁","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"numeric_atoms","value":4055,"base":7}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":5414,"base":7},"right_expr":{"type":"numeric_atoms","value":1064,"base":7}}}}},"used_operators":["yyfyN0ffXY","dwb5p0fa6d","2Wsdkap16l","DmTXOeWf9t","bPywburJMS","5GqDbVmqXU","f6k1SAg4EE","eOf03JbCpp","s3Fd5m9Dh2"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","sdazOOVcIp","COABgblf1C","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","7j4O788W3g","jLgFTUHLKL","8cLx32lpNA","W4YGzv6Whe","t8gj7n24qd","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx"],"result":"≴∭⊉-54552","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1330","layer":4},{"info":"number node, value=2366","layer":4},{"info":"compute binary expreesion, left_input=1330, right_input=2366, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-41570","layer":3},{"info":"number node, value=2494","layer":4},{"info":"number node, value=3698","layer":4},{"info":"compute binary expreesion, left_input=2494, right_input=3698, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=7174","layer":3},{"info":"compute binary expreesion, left_input=-41570, right_input=7174, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=7172","layer":2},{"info":"compute unary expreesion, input=7172, op_id = dwb5p0fa6d, unary_op_definition = 'a⊎←↗ = { (a⊭↱340) , if (a⪨≂940)!=203 ; (a⊭↱a) , else }', output=-13659","layer":1},{"info":"number node, value=4055","layer":4},{"info":"compute unary expreesion, input=4055, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=58","layer":3},{"info":"number node, value=5414","layer":4},{"info":"number node, value=1064","layer":4},{"info":"compute binary expreesion, left_input=5414, right_input=1064, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=8614","layer":3},{"info":"compute binary expreesion, left_input=58, right_input=8614, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8672","layer":2},{"info":"compute unary expreesion, input=-8672, op_id = 5GqDbVmqXU, unary_op_definition = 'a⩁ = { ((↩a)∌(a↺a)) }', output=8672","layer":1},{"info":"compute binary expreesion, left_input=-13659, right_input=8672, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-13659","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉3610⊲⩕⊾≴∭⊉6620⩹≴∭⊉10162↼⊘⨖≴∭⊉13532)⊎←↗)↙(((≸≴∭⊉14552)⪒≴∭⊉21533⊬⨰≴∭⊉3050)⩁)=≴∭⊉-54552","reverse_text":"≴∭⊉-54552=((≴∭⊉3610⊲⩕⊾≴∭⊉6620⩹≴∭⊉10162↼⊘⨖≴∭⊉13532)⊎←↗)↙(((≸≴∭⊉14552)⪒≴∭⊉21533⊬⨰≴∭⊉3050)⩁)","cot":[{"info":"≴∭⊉3610⊲⩕⊾≴∭⊉6620=≴∭⊉-232124","layer":3},{"info":"≴∭⊉10162↼⊘⨖≴∭⊉13532=≴∭⊉26626","layer":3},{"info":"≴∭⊉-232124⩹≴∭⊉26626=≴∭⊉26624","layer":2},{"info":"≴∭⊉26624⊎←↗=≴∭⊉-54552","layer":1},{"info":"≸≴∭⊉14552=≴∭⊉112","layer":3},{"info":"≴∭⊉21533⊬⨰≴∭⊉3050=≴∭⊉34054","layer":3},{"info":"≴∭⊉112⪒≴∭⊉34054=≴∭⊉-34166","layer":2},{"info":"≴∭⊉-34166⩁=≴∭⊉34166","layer":1},{"info":"≴∭⊉-54552↙≴∭⊉34166=≴∭⊉-54552","layer":0}]}
+{"id":410,"expression_no_base_symbol":"(∟⋨(⨈⫕$6461$⪭$1780$))⫚↹⊑($1041$⇮⋭$3053$)≌($1005$⩺⪪$7818$)⪭($1131$∙∹∝$2697$-$2399$⪭≯$4386$)","expression":"(∟⋨(⨈⫕≴∭⊉24560⪭≴∭⊉5122))⫚↹⊑(≴∭⊉3015⇮⋭≴∭⊉11621)≌(≴∭⊉2634⩺⪪≴∭⊉31536)⪭(≴∭⊉3204∙∹∝≴∭⊉10602-≴∭⊉6665⪭≯≴∭⊉15534)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2841,"operation_count":11,"complexity_ratio":258.27272727272725,"tree":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":6461,"base":7},"right_expr":{"type":"numeric_atoms","value":1780,"base":7}}}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":1041,"base":7},"right_expr":{"type":"numeric_atoms","value":3053,"base":7}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":1005,"base":7},"right_expr":{"type":"numeric_atoms","value":7818,"base":7}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":1131,"base":7},"right_expr":{"type":"numeric_atoms","value":2697,"base":7}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":2399,"base":7},"right_expr":{"type":"numeric_atoms","value":4386,"base":7}}}}},"used_operators":["dfKe02y8D2","ctOc4cKSDt","megm06wKyl","j9kHMeSvPp","lyWz822IDG","vkpjKywKVM","uvdQJvN4PV","rysDP5nf3Z","HmxsFra2vL","XAx5wpdLa6"],"dependent_operators":["2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","eLAdDNolq6","tmPS8pqC7x","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","xUOZtlo3hN","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW"],"result":"≴∭⊉-1206","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6461","layer":4},{"info":"number node, value=1780","layer":4},{"info":"compute binary expreesion, left_input=6461, right_input=1780, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"compute unary expreesion, input=5, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":2},{"info":"compute unary expreesion, input=-21, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=463","layer":1},{"info":"number node, value=1041","layer":4},{"info":"number node, value=3053","layer":4},{"info":"compute binary expreesion, left_input=1041, right_input=3053, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"number node, value=1005","layer":4},{"info":"number node, value=7818","layer":4},{"info":"compute binary expreesion, left_input=1005, right_input=7818, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":3},{"info":"compute binary expreesion, left_input=-473, right_input=-1818, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":2},{"info":"number node, value=1131","layer":4},{"info":"number node, value=2697","layer":4},{"info":"compute binary expreesion, left_input=1131, right_input=2697, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=2399","layer":4},{"info":"number node, value=4386","layer":4},{"info":"compute binary expreesion, left_input=2399, right_input=4386, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=463, right_input=nan, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":0}],"base":7,"result_base":7,"text":"(∟⋨(⨈⫕≴∭⊉24560⪭≴∭⊉5122))⫚↹⊑(≴∭⊉3015⇮⋭≴∭⊉11621)≌(≴∭⊉2634⩺⪪≴∭⊉31536)⪭(≴∭⊉3204∙∹∝≴∭⊉10602-≴∭⊉6665⪭≯≴∭⊉15534)=≴∭⊉-1206","reverse_text":"≴∭⊉-1206=(∟⋨(⨈⫕≴∭⊉24560⪭≴∭⊉5122))⫚↹⊑(≴∭⊉3015⇮⋭≴∭⊉11621)≌(≴∭⊉2634⩺⪪≴∭⊉31536)⪭(≴∭⊉3204∙∹∝≴∭⊉10602-≴∭⊉6665⪭≯≴∭⊉15534)","cot":[{"info":"≴∭⊉24560⪭≴∭⊉5122=≴∭⊉5","layer":3},{"info":"⨈⫕≴∭⊉5=≴∭⊉-30","layer":2},{"info":"∟⋨≴∭⊉-30=≴∭⊉1231","layer":1},{"info":"≴∭⊉3015⇮⋭≴∭⊉11621=≴∭⊉-1244","layer":3},{"info":"≴∭⊉2634⩺⪪≴∭⊉31536=≴∭⊉-5205","layer":3},{"info":"≴∭⊉-1244≌≴∭⊉-5205=NaN","layer":2},{"info":"≴∭⊉3204∙∹∝≴∭⊉10602=≴∭⊉0","layer":3},{"info":"≴∭⊉6665⪭≯≴∭⊉15534=NaN","layer":3},{"info":"≴∭⊉0-NaN=NaN","layer":2},{"info":"NaN⪭NaN=NaN","layer":1},{"info":"≴∭⊉1231⫚↹⊑NaN=≴∭⊉-1206","layer":0}]}
+{"id":411,"expression_no_base_symbol":"⊵⊁((⨣⨃⇪($1411$⫢⨠$3875$))⩚⊴⇥(⩦⩻⨪$1296$⫘$2910$))","expression":"⊵⊁((⨣⨃⇪(≴∭⊉4054⫢⨠≴∭⊉14204))⩚⊴⇥(⩦⩻⨪≴∭⊉3531⫘≴∭⊉11325))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1595,"operation_count":6,"complexity_ratio":265.8333333333333,"tree":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":1411,"base":7},"right_expr":{"type":"numeric_atoms","value":3875,"base":7}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":1296,"base":7},"right_expr":{"type":"numeric_atoms","value":2910,"base":7}}}}},"used_operators":["AvED76WdY7","NTOWxs364D","AcOhelriW5","xlXykHWxX1","2td37pGCOC","48vC8HMD2b"],"dependent_operators":["uBihLCJcMX","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1411","layer":4},{"info":"number node, value=3875","layer":4},{"info":"compute binary expreesion, left_input=1411, right_input=3875, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":2},{"info":"number node, value=1296","layer":4},{"info":"number node, value=2910","layer":4},{"info":"compute binary expreesion, left_input=1296, right_input=2910, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=1528501","layer":3},{"info":"compute unary expreesion, input=1528501, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1528501","layer":2},{"info":"compute binary expreesion, left_input=1405, right_input=1528501, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-1530027","layer":1},{"info":"compute unary expreesion, input=-1530027, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=0","layer":0}],"base":7,"result_base":7,"text":"⊵⊁((⨣⨃⇪(≴∭⊉4054⫢⨠≴∭⊉14204))⩚⊴⇥(⩦⩻⨪≴∭⊉3531⫘≴∭⊉11325))=≴∭⊉0","reverse_text":"≴∭⊉0=⊵⊁((⨣⨃⇪(≴∭⊉4054⫢⨠≴∭⊉14204))⩚⊴⇥(⩦⩻⨪≴∭⊉3531⫘≴∭⊉11325))","cot":[{"info":"≴∭⊉4054⫢⨠≴∭⊉14204=≴∭⊉316","layer":3},{"info":"⨣⨃⇪≴∭⊉316=≴∭⊉4045","layer":2},{"info":"≴∭⊉3531⫘≴∭⊉11325=≴∭⊉15664162","layer":3},{"info":"⩦⩻⨪≴∭⊉15664162=≴∭⊉15664162","layer":2},{"info":"≴∭⊉4045⩚⊴⇥≴∭⊉15664162=≴∭⊉-16001502","layer":1},{"info":"⊵⊁≴∭⊉-16001502=≴∭⊉0","layer":0}]}
+{"id":412,"expression_no_base_symbol":"(($3285$∕⩚$2827$)⊧↖)⨐(($5202$⨎$4707$)↬$1651$⊴$1488$)⨐⩸⫘(≱⇩⩕(⊤⊝($1245$⊧↖)))","expression":"((≴∭⊉12402∕⩚≴∭⊉11146)⊧↖)⨐((≴∭⊉21111⨎≴∭⊉16503)↬≴∭⊉4546⊴≴∭⊉4224)⨐⩸⫘(≱⇩⩕(⊤⊝(≴∭⊉3426⊧↖)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":23119,"operation_count":10,"complexity_ratio":2311.9,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"unary","operator":"⊧↖","unary_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":3285,"base":7},"right_expr":{"type":"numeric_atoms","value":2827,"base":7}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":5202,"base":7},"right_expr":{"type":"numeric_atoms","value":4707,"base":7}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1651,"base":7},"right_expr":{"type":"numeric_atoms","value":1488,"base":7}}}},"right_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"unary","operator":"⊧↖","unary_expr":{"type":"numeric_atoms","value":1245,"base":7}}}}},"used_operators":["fu6greOZ01","Noe24qw2ks","EKiFHuOFxO","z9ffQ9n5Zr","B5M0gjZbta","rJVOvQCfKK","Nsiff2A1zJ","3DZMoQKiUl","rXAclfmB4M"],"dependent_operators":["3ViojmjbAp","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","5twsqlHp2o","dfKe02y8D2","8HhzD0ZcuI","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","rGHVDoGpnC","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","dWAJyo7jo9","14qkJME0vr","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","sdazOOVcIp"],"result":"≴∭⊉-224","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3285","layer":4},{"info":"number node, value=2827","layer":4},{"info":"compute binary expreesion, left_input=3285, right_input=2827, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-3288","layer":3},{"info":"compute unary expreesion, input=-3288, op_id = EKiFHuOFxO, unary_op_definition = 'a⊧↖ = { ((a⨽a)⊢(a⫚↹⊑79)) }', output=64843064","layer":2},{"info":"number node, value=5202","layer":4},{"info":"number node, value=4707","layer":4},{"info":"compute binary expreesion, left_input=5202, right_input=4707, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4707","layer":3},{"info":"number node, value=1651","layer":4},{"info":"number node, value=1488","layer":4},{"info":"compute binary expreesion, left_input=1651, right_input=1488, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=4707, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=64843064, right_input=nan, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-129686128","layer":1},{"info":"number node, value=1245","layer":4},{"info":"compute unary expreesion, input=1245, op_id = EKiFHuOFxO, unary_op_definition = 'a⊧↖ = { ((a⨽a)⊢(a⫚↹⊑79)) }', output=9304748","layer":3},{"info":"compute unary expreesion, input=9304748, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=18608198","layer":2},{"info":"compute unary expreesion, input=18608198, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":1},{"info":"compute binary expreesion, left_input=-129686128, right_input=113, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=-116","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉12402∕⩚≴∭⊉11146)⊧↖)⨐((≴∭⊉21111⨎≴∭⊉16503)↬≴∭⊉4546⊴≴∭⊉4224)⨐⩸⫘(≱⇩⩕(⊤⊝(≴∭⊉3426⊧↖)))=≴∭⊉-224","reverse_text":"≴∭⊉-224=((≴∭⊉12402∕⩚≴∭⊉11146)⊧↖)⨐((≴∭⊉21111⨎≴∭⊉16503)↬≴∭⊉4546⊴≴∭⊉4224)⨐⩸⫘(≱⇩⩕(⊤⊝(≴∭⊉3426⊧↖)))","cot":[{"info":"≴∭⊉12402∕⩚≴∭⊉11146=≴∭⊉-12405","layer":3},{"info":"≴∭⊉-12405⊧↖=≴∭⊉1415104556","layer":2},{"info":"≴∭⊉21111⨎≴∭⊉16503=≴∭⊉16503","layer":3},{"info":"≴∭⊉4546⊴≴∭⊉4224=NaN","layer":3},{"info":"≴∭⊉16503↬NaN=NaN","layer":2},{"info":"≴∭⊉1415104556⨐NaN=≴∭⊉-3133212445","layer":1},{"info":"≴∭⊉3426⊧↖=≴∭⊉142042355","layer":3},{"info":"⊤⊝≴∭⊉142042355=≴∭⊉314111210","layer":2},{"info":"≱⇩⩕≴∭⊉314111210=≴∭⊉221","layer":1},{"info":"≴∭⊉-3133212445⨐⩸⫘≴∭⊉221=≴∭⊉-224","layer":0}]}
+{"id":413,"expression_no_base_symbol":"($4537$⪉⨛$1481$≋⫹)⊴($1132$⪕$3887$)↳∿⪆($2401$⨓$6627$)≄⊠((⨣⨃⇪$4296$∊∟⩊$1099$)⫰⋱($6979$⫥∨⫟$2887$)∀⇚≩($3099$⨳⩥⨓$7210$))","expression":"(≴∭⊉16141⪉⨛≴∭⊉4214≋⫹)⊴(≴∭⊉3205⪕≴∭⊉14222)↳∿⪆(≴∭⊉10000⨓≴∭⊉25215)≄⊠((⨣⨃⇪≴∭⊉15345∊∟⩊≴∭⊉3130)⫰⋱(≴∭⊉26230⫥∨⫟≴∭⊉11263)∀⇚≩(≴∭⊉12015⨳⩥⨓≴∭⊉30010))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":9515,"operation_count":13,"complexity_ratio":731.9230769230769,"tree":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":4537,"base":7},"right_expr":{"type":"numeric_atoms","value":1481,"base":7}}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":1132,"base":7},"right_expr":{"type":"numeric_atoms","value":3887,"base":7}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2401,"base":7},"right_expr":{"type":"numeric_atoms","value":6627,"base":7}}}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":4296,"base":7},"right_expr":{"type":"numeric_atoms","value":1099,"base":7}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":6979,"base":7},"right_expr":{"type":"numeric_atoms","value":2887,"base":7}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3099,"base":7},"right_expr":{"type":"numeric_atoms","value":7210,"base":7}}}}},"used_operators":["vXNesLlMH1","Nsiff2A1zJ","N41Kp7NANJ","EWw2JM7wp4","Cw4SuJJGHO","umQnsF7QlU","3ViojmjbAp","6o9Blt3TJ6","AcOhelriW5","ddLRYrp01A","LRNGc0VcxI","KYD54nUTWz","nCS4ZIUYfx"],"dependent_operators":["d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","X99M06cbEe","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z"],"result":"≴∭⊉4242","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4537","layer":4},{"info":"number node, value=1481","layer":4},{"info":"compute binary expreesion, left_input=4537, right_input=1481, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=12345","layer":3},{"info":"compute unary expreesion, input=12345, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-24690","layer":2},{"info":"number node, value=1132","layer":4},{"info":"number node, value=3887","layer":4},{"info":"compute binary expreesion, left_input=1132, right_input=3887, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=-55","layer":3},{"info":"number node, value=2401","layer":4},{"info":"number node, value=6627","layer":4},{"info":"compute binary expreesion, left_input=2401, right_input=6627, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-6630","layer":3},{"info":"compute binary expreesion, left_input=-55, right_input=-6630, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-24690, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=4296","layer":4},{"info":"number node, value=1099","layer":4},{"info":"compute binary expreesion, left_input=4296, right_input=1099, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=12","layer":3},{"info":"compute unary expreesion, input=12, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":2},{"info":"number node, value=6979","layer":4},{"info":"number node, value=2887","layer":4},{"info":"compute binary expreesion, left_input=6979, right_input=2887, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=3099","layer":4},{"info":"number node, value=7210","layer":4},{"info":"compute binary expreesion, left_input=3099, right_input=7210, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=4111","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4111, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1405, right_input=nan, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉16141⪉⨛≴∭⊉4214≋⫹)⊴(≴∭⊉3205⪕≴∭⊉14222)↳∿⪆(≴∭⊉10000⨓≴∭⊉25215)≄⊠((⨣⨃⇪≴∭⊉15345∊∟⩊≴∭⊉3130)⫰⋱(≴∭⊉26230⫥∨⫟≴∭⊉11263)∀⇚≩(≴∭⊉12015⨳⩥⨓≴∭⊉30010))=≴∭⊉4242","reverse_text":"≴∭⊉4242=(≴∭⊉16141⪉⨛≴∭⊉4214≋⫹)⊴(≴∭⊉3205⪕≴∭⊉14222)↳∿⪆(≴∭⊉10000⨓≴∭⊉25215)≄⊠((⨣⨃⇪≴∭⊉15345∊∟⩊≴∭⊉3130)⫰⋱(≴∭⊉26230⫥∨⫟≴∭⊉11263)∀⇚≩(≴∭⊉12015⨳⩥⨓≴∭⊉30010))","cot":[{"info":"≴∭⊉16141⪉⨛≴∭⊉4214=≴∭⊉50664","layer":3},{"info":"≴∭⊉50664≋⫹=≴∭⊉-131661","layer":2},{"info":"≴∭⊉3205⪕≴∭⊉14222=≴∭⊉-106","layer":3},{"info":"≴∭⊉10000⨓≴∭⊉25215=≴∭⊉-25221","layer":3},{"info":"≴∭⊉-106↳∿⪆≴∭⊉-25221=NaN","layer":2},{"info":"≴∭⊉-131661⊴NaN=NaN","layer":1},{"info":"≴∭⊉15345∊∟⩊≴∭⊉3130=≴∭⊉15","layer":3},{"info":"⨣⨃⇪≴∭⊉15=≴∭⊉4045","layer":2},{"info":"≴∭⊉26230⫥∨⫟≴∭⊉11263=NaN","layer":3},{"info":"≴∭⊉12015⨳⩥⨓≴∭⊉30010=≴∭⊉14662","layer":3},{"info":"NaN∀⇚≩≴∭⊉14662=NaN","layer":2},{"info":"≴∭⊉4045⫰⋱NaN=NaN","layer":1},{"info":"NaN≄⊠NaN=≴∭⊉4242","layer":0}]}
+{"id":414,"expression_no_base_symbol":"(($4999$≬⋮$3156$)⨓($3287$≝⊰⇂)≎⊠⪸($3562$⇍⊗$6330$)⇻⋧≁$1890$⊮⊟↴$1233$)⩱","expression":"((≴∭⊉20401≬⋮≴∭⊉12126)⨓(≴∭⊉12404≝⊰⇂)≎⊠⪸(≴∭⊉13246⇍⊗≴∭⊉24312)⇻⋧≁≴∭⊉5340⊮⊟↴≴∭⊉3411)⩱","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1833,"operation_count":8,"complexity_ratio":229.125,"tree":{"type":"unary","operator":"⩱","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":4999,"base":7},"right_expr":{"type":"numeric_atoms","value":3156,"base":7}},"right_expr":{"type":"unary","operator":"≝⊰⇂","unary_expr":{"type":"numeric_atoms","value":3287,"base":7}}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":3562,"base":7},"right_expr":{"type":"numeric_atoms","value":6330,"base":7}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":1890,"base":7},"right_expr":{"type":"numeric_atoms","value":1233,"base":7}}}}},"used_operators":["uyq1hVkAcj","bJkvcejdHO","3ViojmjbAp","kbkesczE7y","htSmYCowi5","jCPkEVoL5K","5uvYHDjeKN","QDVgd2eftb"],"dependent_operators":["DpFCA1CohY","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","COABgblf1C","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","9FxExcQeMw","DlLNRPXxWL","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK"],"result":"≴∭⊉-1621","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4999","layer":4},{"info":"number node, value=3156","layer":4},{"info":"compute binary expreesion, left_input=4999, right_input=3156, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"number node, value=3287","layer":4},{"info":"compute unary expreesion, input=3287, op_id = htSmYCowi5, unary_op_definition = 'a≝⊰⇂ = { (a⩷∴51) , if a<491 ; (⫛⫱⨽a) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=0, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":2},{"info":"number node, value=3562","layer":4},{"info":"number node, value=6330","layer":4},{"info":"compute binary expreesion, left_input=3562, right_input=6330, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"number node, value=1890","layer":4},{"info":"number node, value=1233","layer":4},{"info":"compute binary expreesion, left_input=1890, right_input=1233, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-244, right_input=0, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-447, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":1},{"info":"compute unary expreesion, input=67, op_id = uyq1hVkAcj, unary_op_definition = 'a⩱ = { ((⋗⩬⋾(a⊭↱a))↺((a⨸⪁a)⪒(a⨸⪁125))) }', output=-652","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉20401≬⋮≴∭⊉12126)⨓(≴∭⊉12404≝⊰⇂)≎⊠⪸(≴∭⊉13246⇍⊗≴∭⊉24312)⇻⋧≁≴∭⊉5340⊮⊟↴≴∭⊉3411)⩱=≴∭⊉-1621","reverse_text":"≴∭⊉-1621=((≴∭⊉20401≬⋮≴∭⊉12126)⨓(≴∭⊉12404≝⊰⇂)≎⊠⪸(≴∭⊉13246⇍⊗≴∭⊉24312)⇻⋧≁≴∭⊉5340⊮⊟↴≴∭⊉3411)⩱","cot":[{"info":"≴∭⊉20401≬⋮≴∭⊉12126=≴∭⊉2350","layer":3},{"info":"≴∭⊉12404≝⊰⇂=≴∭⊉0","layer":3},{"info":"≴∭⊉2350⨓≴∭⊉0=NaN","layer":2},{"info":"≴∭⊉13246⇍⊗≴∭⊉24312=≴∭⊉-466","layer":3},{"info":"≴∭⊉5340⊮⊟↴≴∭⊉3411=≴∭⊉0","layer":3},{"info":"≴∭⊉-466⇻⋧≁≴∭⊉0=≴∭⊉-1206","layer":2},{"info":"NaN≎⊠⪸≴∭⊉-1206=≴∭⊉124","layer":1},{"info":"≴∭⊉124⩱=≴∭⊉-1621","layer":0}]}
+{"id":415,"expression_no_base_symbol":"⨭⩧⫛((⫇$8558$⨐$9191$)⩒⫫($2269$⊋≦⊧$6465$)⩇∃⫛(≇⪴$1885$))","expression":"⨭⩧⫛((⫇≴∭⊉33644⨐≴∭⊉35540)⩒⫫(≴∭⊉6421⊋≦⊧≴∭⊉24564)⩇∃⫛(≇⪴≴∭⊉5332))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":25680,"operation_count":7,"complexity_ratio":3668.5714285714284,"tree":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":8558,"base":7},"right_expr":{"type":"numeric_atoms","value":9191,"base":7}}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":2269,"base":7},"right_expr":{"type":"numeric_atoms","value":6465,"base":7}},"right_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"numeric_atoms","value":1885,"base":7}}}}},"used_operators":["g21JL6JxX7","KFSx94NKJn","YjI8oCXuph","Noe24qw2ks","1aApVXNlOP","oRDoc9rAEX","zoVPnxeHJ3"],"dependent_operators":["Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=8558","layer":4},{"info":"number node, value=9191","layer":4},{"info":"compute binary expreesion, left_input=8558, right_input=9191, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-17116","layer":3},{"info":"compute unary expreesion, input=-17116, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-16170","layer":2},{"info":"number node, value=2269","layer":4},{"info":"number node, value=6465","layer":4},{"info":"compute binary expreesion, left_input=2269, right_input=6465, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=-8494","layer":3},{"info":"number node, value=1885","layer":4},{"info":"compute unary expreesion, input=1885, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-4315","layer":3},{"info":"compute binary expreesion, left_input=-8494, right_input=-4315, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=-8494","layer":2},{"info":"compute binary expreesion, left_input=-16170, right_input=-8494, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=160","layer":1},{"info":"compute unary expreesion, input=160, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"⨭⩧⫛((⫇≴∭⊉33644⨐≴∭⊉35540)⩒⫫(≴∭⊉6421⊋≦⊧≴∭⊉24564)⩇∃⫛(≇⪴≴∭⊉5332))=NaN","reverse_text":"NaN=⨭⩧⫛((⫇≴∭⊉33644⨐≴∭⊉35540)⩒⫫(≴∭⊉6421⊋≦⊧≴∭⊉24564)⩇∃⫛(≇⪴≴∭⊉5332))","cot":[{"info":"≴∭⊉33644⨐≴∭⊉35540=≴∭⊉-100621","layer":3},{"info":"⫇≴∭⊉-100621=≴∭⊉-65100","layer":2},{"info":"≴∭⊉6421⊋≦⊧≴∭⊉24564=≴∭⊉-33523","layer":3},{"info":"≇⪴≴∭⊉5332=≴∭⊉-15403","layer":3},{"info":"≴∭⊉-33523⩇∃⫛≴∭⊉-15403=≴∭⊉-33523","layer":2},{"info":"≴∭⊉-65100⩒⫫≴∭⊉-33523=≴∭⊉316","layer":1},{"info":"⨭⩧⫛≴∭⊉316=NaN","layer":0}]}
+{"id":416,"expression_no_base_symbol":"≀↧⇸((↔$3376$⩼⇪↪$2817$)⪇≇⋚(($1476$⨎$3557$)⪨⊡($2386$+⇶⊼$1140$)))","expression":"≀↧⇸((↔≴∭⊉12562⩼⇪↪≴∭⊉11133)⪇≇⋚((≴∭⊉4206⨎≴∭⊉13241)⪨⊡(≴∭⊉6646+⇶⊼≴∭⊉3216)))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":64,"operation_count":7,"complexity_ratio":9.142857142857142,"tree":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":3376,"base":7},"right_expr":{"type":"numeric_atoms","value":2817,"base":7}}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1476,"base":7},"right_expr":{"type":"numeric_atoms","value":3557,"base":7}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2386,"base":7},"right_expr":{"type":"numeric_atoms","value":1140,"base":7}}}}},"used_operators":["ljTHtUsqzn","3sJ7IOPOlU","ruOEQAzv1W","ocnLzx9CaJ","kuIXHzHcAH","rJVOvQCfKK","TpPTUOHfaN"],"dependent_operators":["XPYlsWDdGa","23Mk6UjR3U","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3376","layer":4},{"info":"number node, value=2817","layer":4},{"info":"compute binary expreesion, left_input=3376, right_input=2817, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-13750","layer":3},{"info":"compute unary expreesion, input=-13750, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":2},{"info":"number node, value=1476","layer":4},{"info":"number node, value=3557","layer":4},{"info":"compute binary expreesion, left_input=1476, right_input=3557, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3557","layer":3},{"info":"number node, value=2386","layer":4},{"info":"number node, value=1140","layer":4},{"info":"compute binary expreesion, left_input=2386, right_input=1140, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3557, right_input=nan, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-134, right_input=nan, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"≀↧⇸((↔≴∭⊉12562⩼⇪↪≴∭⊉11133)⪇≇⋚((≴∭⊉4206⨎≴∭⊉13241)⪨⊡(≴∭⊉6646+⇶⊼≴∭⊉3216)))=NaN","reverse_text":"NaN=≀↧⇸((↔≴∭⊉12562⩼⇪↪≴∭⊉11133)⪇≇⋚((≴∭⊉4206⨎≴∭⊉13241)⪨⊡(≴∭⊉6646+⇶⊼≴∭⊉3216)))","cot":[{"info":"≴∭⊉12562⩼⇪↪≴∭⊉11133=≴∭⊉-55042","layer":3},{"info":"↔≴∭⊉-55042=≴∭⊉-251","layer":2},{"info":"≴∭⊉4206⨎≴∭⊉13241=≴∭⊉13241","layer":3},{"info":"≴∭⊉6646+⇶⊼≴∭⊉3216=NaN","layer":3},{"info":"≴∭⊉13241⪨⊡NaN=NaN","layer":2},{"info":"≴∭⊉-251⪇≇⋚NaN=NaN","layer":1},{"info":"≀↧⇸NaN=NaN","layer":0}]}
+{"id":417,"expression_no_base_symbol":"(↴⪽⋼((⊵⊁$2621$)∖$2327$⊋$1378$))+((⩎⋉($3702$⨱∎))⪨≂(⨡↴$9732$↤⩊$5993$))","expression":"(↴⪽⋼((⊵⊁≴∭⊉10433)∖≴∭⊉6533⊋≴∭⊉4006))+((⩎⋉(≴∭⊉13536⨱∎))⪨≂(⨡↴≴∭⊉40242↤⩊≴∭⊉23321))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":806826,"operation_count":10,"complexity_ratio":80682.6,"tree":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"binary","operator":"∖","left_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"numeric_atoms","value":2621,"base":7}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":2327,"base":7},"right_expr":{"type":"numeric_atoms","value":1378,"base":7}}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"unary","operator":"⨱∎","unary_expr":{"type":"numeric_atoms","value":3702,"base":7}}},"right_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":9732,"base":7},"right_expr":{"type":"numeric_atoms","value":5993,"base":7}}}}},"used_operators":["W4YGzv6Whe","5TUYCnJO6w","tXD093vOjl","AvED76WdY7","W4tP9CfskL","sdazOOVcIp","FlXk3pOYe8","MmTdOpaElr","liw5iZPkLH","13rbtpv6ld"],"dependent_operators":["MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","uBihLCJcMX","k8jYdgA6NY","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","rysDP5nf3Z","t8gj7n24qd","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","tifHPKVTfV","W4YGzv6Whe","P8v4zCKN1o","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2621","layer":4},{"info":"compute unary expreesion, input=2621, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=14656","layer":3},{"info":"number node, value=2327","layer":4},{"info":"number node, value=1378","layer":4},{"info":"compute binary expreesion, left_input=2327, right_input=1378, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=10255440","layer":3},{"info":"compute binary expreesion, left_input=14656, right_input=10255440, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=0","layer":1},{"info":"number node, value=3702","layer":4},{"info":"compute unary expreesion, input=3702, op_id = MmTdOpaElr, unary_op_definition = 'a⨱∎ = { (a⇼⇔∾a) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = FlXk3pOYe8, unary_op_definition = '⩎⋉a = { (((a/a)∲⫓(≛a))∴((a⩨a)⨳⩥⨓(⊄⩳↩a))) , if (a⩇∃⫛268)<=24 or a==244 or (↩⪖a)>=4 ; (((a⨔⇊a)∠↢(↸⊣a))≚⊃≕((≦∁a)⨐461)) , else }', output=67","layer":2},{"info":"number node, value=9732","layer":4},{"info":"number node, value=5993","layer":4},{"info":"compute binary expreesion, left_input=9732, right_input=5993, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":7,"result_base":7,"text":"(↴⪽⋼((⊵⊁≴∭⊉10433)∖≴∭⊉6533⊋≴∭⊉4006))+((⩎⋉(≴∭⊉13536⨱∎))⪨≂(⨡↴≴∭⊉40242↤⩊≴∭⊉23321))=NaN","reverse_text":"NaN=(↴⪽⋼((⊵⊁≴∭⊉10433)∖≴∭⊉6533⊋≴∭⊉4006))+((⩎⋉(≴∭⊉13536⨱∎))⪨≂(⨡↴≴∭⊉40242↤⩊≴∭⊉23321))","cot":[{"info":"⊵⊁≴∭⊉10433=≴∭⊉60505","layer":3},{"info":"≴∭⊉6533⊋≴∭⊉4006=≴∭⊉153112146","layer":3},{"info":"≴∭⊉60505∖≴∭⊉153112146=≴∭⊉0","layer":2},{"info":"↴⪽⋼≴∭⊉0=≴∭⊉0","layer":1},{"info":"≴∭⊉13536⨱∎=≴∭⊉0","layer":3},{"info":"⩎⋉≴∭⊉0=≴∭⊉124","layer":2},{"info":"≴∭⊉40242↤⩊≴∭⊉23321=NaN","layer":3},{"info":"⨡↴NaN=NaN","layer":2},{"info":"≴∭⊉124⪨≂NaN=NaN","layer":1},{"info":"≴∭⊉0+NaN=NaN","layer":0}]}
+{"id":418,"expression_no_base_symbol":"(⋼∭⪍(⊖∈$3132$⇷$2320$))⨑⩅≇(($6575$⨽$5599$)⪢($2816$⩹$2406$)∀⇚≩($4219$⪭≯$1789$⊭↱(⊬↢$5080$)))","expression":"(⋼∭⪍(⊖∈≴∭⊉12063⇷≴∭⊉6523))⨑⩅≇((≴∭⊉25112⨽≴∭⊉22216)⪢(≴∭⊉11132⩹≴∭⊉10005)∀⇚≩(≴∭⊉15205⪭≯≴∭⊉5134⊭↱(⊬↢≴∭⊉20545)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2358314,"operation_count":11,"complexity_ratio":214392.18181818182,"tree":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3132,"base":7},"right_expr":{"type":"numeric_atoms","value":2320,"base":7}}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":6575,"base":7},"right_expr":{"type":"numeric_atoms","value":5599,"base":7}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":2816,"base":7},"right_expr":{"type":"numeric_atoms","value":2406,"base":7}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":4219,"base":7},"right_expr":{"type":"numeric_atoms","value":1789,"base":7}},"right_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"numeric_atoms","value":5080,"base":7}}}}},"used_operators":["h92wMvzauj","DbCuESL50I","YFxL8Sc2Zy","mp7IySMOzn","LRNGc0VcxI","dWAJyo7jo9","8HhzD0ZcuI","2Wsdkap16l","COABgblf1C","XAx5wpdLa6","WPoGxAaPR1"],"dependent_operators":["s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","X99M06cbEe","k8jYdgA6NY","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","W4YGzv6Whe","t8gj7n24qd","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA"],"result":"≴∭⊉2504","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3132","layer":4},{"info":"number node, value=2320","layer":4},{"info":"compute binary expreesion, left_input=3132, right_input=2320, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4640","layer":3},{"info":"compute unary expreesion, input=4640, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=87206","layer":2},{"info":"compute unary expreesion, input=87206, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-347084","layer":1},{"info":"number node, value=6575","layer":4},{"info":"number node, value=5599","layer":4},{"info":"compute binary expreesion, left_input=6575, right_input=5599, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-129707358","layer":3},{"info":"number node, value=2816","layer":4},{"info":"number node, value=2406","layer":4},{"info":"compute binary expreesion, left_input=2816, right_input=2406, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=2404","layer":3},{"info":"compute binary expreesion, left_input=-129707358, right_input=2404, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"number node, value=4219","layer":4},{"info":"number node, value=1789","layer":4},{"info":"compute binary expreesion, left_input=4219, right_input=1789, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"number node, value=5080","layer":4},{"info":"compute unary expreesion, input=5080, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=218","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=218, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-347084, right_input=nan, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=935","layer":0}],"base":7,"result_base":7,"text":"(⋼∭⪍(⊖∈≴∭⊉12063⇷≴∭⊉6523))⨑⩅≇((≴∭⊉25112⨽≴∭⊉22216)⪢(≴∭⊉11132⩹≴∭⊉10005)∀⇚≩(≴∭⊉15205⪭≯≴∭⊉5134⊭↱(⊬↢≴∭⊉20545)))=≴∭⊉2504","reverse_text":"≴∭⊉2504=(⋼∭⪍(⊖∈≴∭⊉12063⇷≴∭⊉6523))⨑⩅≇((≴∭⊉25112⨽≴∭⊉22216)⪢(≴∭⊉11132⩹≴∭⊉10005)∀⇚≩(≴∭⊉15205⪭≯≴∭⊉5134⊭↱(⊬↢≴∭⊉20545)))","cot":[{"info":"≴∭⊉12063⇷≴∭⊉6523=≴∭⊉16346","layer":3},{"info":"⊖∈≴∭⊉16346=≴∭⊉512150","layer":2},{"info":"⋼∭⪍≴∭⊉512150=≴∭⊉-2643623","layer":1},{"info":"≴∭⊉25112⨽≴∭⊉22216=≴∭⊉-3133331364","layer":3},{"info":"≴∭⊉11132⩹≴∭⊉10005=≴∭⊉10003","layer":3},{"info":"≴∭⊉-3133331364⪢≴∭⊉10003=NaN","layer":2},{"info":"≴∭⊉15205⪭≯≴∭⊉5134=NaN","layer":3},{"info":"⊬↢≴∭⊉20545=≴∭⊉431","layer":3},{"info":"NaN⊭↱≴∭⊉431=NaN","layer":2},{"info":"NaN∀⇚≩NaN=NaN","layer":1},{"info":"≴∭⊉-2643623⨑⩅≇NaN=≴∭⊉2504","layer":0}]}
+{"id":419,"expression_no_base_symbol":"($4274$↞⋁$2439$∪⫐$1385$≌$1005$)∣($1024$⨽$2978$⩵∡$5517$⨐⩸⫘$4094$)⋝⋈⪟(($1452$↳∿⪆$2094$)⪬($4846$⇪⋭)∙∹∝$1338$⨥⫆$2084$⋛($1239$⊲⩕⊾$5485$))","expression":"(≴∭⊉15314↞⋁≴∭⊉10053∪⫐≴∭⊉4016≌≴∭⊉2634)∣(≴∭⊉2662⨽≴∭⊉11453⩵∡≴∭⊉22041⨐⩸⫘≴∭⊉14636)⋝⋈⪟((≴∭⊉4143↳∿⪆≴∭⊉6051)⪬(≴∭⊉20062⇪⋭)∙∹∝≴∭⊉3621⨥⫆≴∭⊉6035⋛(≴∭⊉3420⊲⩕⊾≴∭⊉21664))","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":5461,"operation_count":15,"complexity_ratio":364.06666666666666,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":4274,"base":7},"right_expr":{"type":"numeric_atoms","value":2439,"base":7}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":1385,"base":7},"right_expr":{"type":"numeric_atoms","value":1005,"base":7}}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1024,"base":7},"right_expr":{"type":"numeric_atoms","value":2978,"base":7}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":5517,"base":7},"right_expr":{"type":"numeric_atoms","value":4094,"base":7}}}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":1452,"base":7},"right_expr":{"type":"numeric_atoms","value":2094,"base":7}},"right_expr":{"type":"unary","operator":"⇪⋭","unary_expr":{"type":"numeric_atoms","value":4846,"base":7}}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":1338,"base":7},"right_expr":{"type":"numeric_atoms","value":2084,"base":7}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":1239,"base":7},"right_expr":{"type":"numeric_atoms","value":5485,"base":7}}}}},"used_operators":["2DDjHMKMc0","PPChnnnBFF","7YooWSwCyH","RqrPlJkxDo","lyWz822IDG","Y7wcNGrDQJ","8HhzD0ZcuI","fu6greOZ01","HmxsFra2vL","Ez1Nq5fNfI","Cw4SuJJGHO","Z8Yg6dlDSp","YbUVn0Rbpy","yXekIHxTD4","DmTXOeWf9t"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","rJVOvQCfKK","2DDjHMKMc0","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","NTOWxs364D","glklzrTFfD","tifHPKVTfV","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","3ViojmjbAp","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","T2fj7uvVaJ","5KTvxBwnZo","inkyxCbjAn","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4274","layer":4},{"info":"number node, value=2439","layer":4},{"info":"compute binary expreesion, left_input=4274, right_input=2439, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"number node, value=1385","layer":4},{"info":"number node, value=1005","layer":4},{"info":"compute binary expreesion, left_input=1385, right_input=1005, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=nan","layer":2},{"info":"number node, value=1024","layer":4},{"info":"number node, value=2978","layer":4},{"info":"compute binary expreesion, left_input=1024, right_input=2978, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-3153348","layer":3},{"info":"number node, value=5517","layer":4},{"info":"number node, value=4094","layer":4},{"info":"compute binary expreesion, left_input=5517, right_input=4094, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-3153348, right_input=nan, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=nan","layer":1},{"info":"number node, value=1452","layer":4},{"info":"number node, value=2094","layer":4},{"info":"compute binary expreesion, left_input=1452, right_input=2094, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"number node, value=4846","layer":4},{"info":"compute unary expreesion, input=4846, op_id = Z8Yg6dlDSp, unary_op_definition = 'a⇪⋭ = { ((a≒∊a)⋓(⇁⨣⪵a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"number node, value=1338","layer":4},{"info":"number node, value=2084","layer":4},{"info":"compute binary expreesion, left_input=1338, right_input=2084, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=4044","layer":3},{"info":"number node, value=1239","layer":4},{"info":"number node, value=5485","layer":4},{"info":"compute binary expreesion, left_input=1239, right_input=5485, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-71304","layer":3},{"info":"compute binary expreesion, left_input=4044, right_input=-71304, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-213267","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=-213267, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉15314↞⋁≴∭⊉10053∪⫐≴∭⊉4016≌≴∭⊉2634)∣(≴∭⊉2662⨽≴∭⊉11453⩵∡≴∭⊉22041⨐⩸⫘≴∭⊉14636)⋝⋈⪟((≴∭⊉4143↳∿⪆≴∭⊉6051)⪬(≴∭⊉20062⇪⋭)∙∹∝≴∭⊉3621⨥⫆≴∭⊉6035⋛(≴∭⊉3420⊲⩕⊾≴∭⊉21664))=NaN","reverse_text":"NaN=(≴∭⊉15314↞⋁≴∭⊉10053∪⫐≴∭⊉4016≌≴∭⊉2634)∣(≴∭⊉2662⨽≴∭⊉11453⩵∡≴∭⊉22041⨐⩸⫘≴∭⊉14636)⋝⋈⪟((≴∭⊉4143↳∿⪆≴∭⊉6051)⪬(≴∭⊉20062⇪⋭)∙∹∝≴∭⊉3621⨥⫆≴∭⊉6035⋛(≴∭⊉3420⊲⩕⊾≴∭⊉21664))","cot":[{"info":"≴∭⊉15314↞⋁≴∭⊉10053=NaN","layer":3},{"info":"≴∭⊉4016≌≴∭⊉2634=NaN","layer":3},{"info":"NaN∪⫐NaN=NaN","layer":2},{"info":"≴∭⊉2662⨽≴∭⊉11453=≴∭⊉-35542302","layer":3},{"info":"≴∭⊉22041⨐⩸⫘≴∭⊉14636=NaN","layer":3},{"info":"≴∭⊉-35542302⩵∡NaN=NaN","layer":2},{"info":"NaN∣NaN=NaN","layer":1},{"info":"≴∭⊉4143↳∿⪆≴∭⊉6051=NaN","layer":3},{"info":"≴∭⊉20062⇪⋭=NaN","layer":3},{"info":"NaN⪬NaN=≴∭⊉3412","layer":2},{"info":"≴∭⊉3621⨥⫆≴∭⊉6035=≴∭⊉14535","layer":3},{"info":"≴∭⊉3420⊲⩕⊾≴∭⊉21664=≴∭⊉-414612","layer":3},{"info":"≴∭⊉14535⋛≴∭⊉-414612=≴∭⊉-1545525","layer":2},{"info":"≴∭⊉3412∙∹∝≴∭⊉-1545525=≴∭⊉0","layer":1},{"info":"NaN⋝⋈⪟≴∭⊉0=NaN","layer":0}]}
+{"id":420,"expression_no_base_symbol":"⨦⪝((∂⩏⊆($4553$∙∹∝$1503$))⨔⇊($2169$⇴∐$2844$)≎⪠($7404$↙$4976$))","expression":"⨦⪝((∂⩏⊆(≴∭⊉16163∙∹∝≴∭⊉4245))⨔⇊(≴∭⊉6216⇴∐≴∭⊉11202)≎⪠(≴∭⊉30405↙≴∭⊉20336))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":24150,"operation_count":7,"complexity_ratio":3450.0,"tree":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":4553,"base":7},"right_expr":{"type":"numeric_atoms","value":1503,"base":7}}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":2169,"base":7},"right_expr":{"type":"numeric_atoms","value":2844,"base":7}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":7404,"base":7},"right_expr":{"type":"numeric_atoms","value":4976,"base":7}}}}},"used_operators":["SUjycxNXIR","JclMnS0uGI","8WDwsbhb0R","HmxsFra2vL","aNhz54LH3e","HnzytWxmAO","yyfyN0ffXY"],"dependent_operators":["V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","14qkJME0vr","eLAdDNolq6","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","tmPS8pqC7x","DpFCA1CohY"],"result":"≴∭⊉-5331","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4553","layer":4},{"info":"number node, value=1503","layer":4},{"info":"compute binary expreesion, left_input=4553, right_input=1503, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=484","layer":2},{"info":"number node, value=2169","layer":4},{"info":"number node, value=2844","layer":4},{"info":"compute binary expreesion, left_input=2169, right_input=2844, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"number node, value=7404","layer":4},{"info":"number node, value=4976","layer":4},{"info":"compute binary expreesion, left_input=7404, right_input=4976, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-14928","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-14928, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":2},{"info":"compute binary expreesion, left_input=484, right_input=19558, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=19558","layer":1},{"info":"compute unary expreesion, input=19558, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":0}],"base":7,"result_base":7,"text":"⨦⪝((∂⩏⊆(≴∭⊉16163∙∹∝≴∭⊉4245))⨔⇊(≴∭⊉6216⇴∐≴∭⊉11202)≎⪠(≴∭⊉30405↙≴∭⊉20336))=≴∭⊉-5331","reverse_text":"≴∭⊉-5331=⨦⪝((∂⩏⊆(≴∭⊉16163∙∹∝≴∭⊉4245))⨔⇊(≴∭⊉6216⇴∐≴∭⊉11202)≎⪠(≴∭⊉30405↙≴∭⊉20336))","cot":[{"info":"≴∭⊉16163∙∹∝≴∭⊉4245=≴∭⊉0","layer":3},{"info":"∂⩏⊆≴∭⊉0=≴∭⊉1261","layer":2},{"info":"≴∭⊉6216⇴∐≴∭⊉11202=NaN","layer":3},{"info":"≴∭⊉30405↙≴∭⊉20336=≴∭⊉-61344","layer":3},{"info":"NaN≎⪠≴∭⊉-61344=≴∭⊉111010","layer":2},{"info":"≴∭⊉1261⨔⇊≴∭⊉111010=≴∭⊉111010","layer":1},{"info":"⨦⪝≴∭⊉111010=≴∭⊉-5331","layer":0}]}
+{"id":421,"expression_no_base_symbol":"($1041$⨰$2437$∠⫱(∂⩏⊆$2049$))⇴(↔($1589$⨻⩈⩔$5145$))∀⋜↑","expression":"(≴∭⊉3015⨰≴∭⊉10051∠⫱(∂⩏⊆≴∭⊉5655))⇴(↔(≴∭⊉4430⨻⩈⩔≴∭⊉21000))∀⋜↑","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":153,"operation_count":7,"complexity_ratio":21.857142857142858,"tree":{"type":"unary","operator":"∀⋜↑","unary_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1041,"base":7},"right_expr":{"type":"numeric_atoms","value":2437,"base":7}},"right_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"numeric_atoms","value":2049,"base":7}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":1589,"base":7},"right_expr":{"type":"numeric_atoms","value":5145,"base":7}}}}},"used_operators":["KipPnG1M2J","4JB6nKBMSY","QvoQhV0rrE","eewbuw0ToL","8WDwsbhb0R","ruOEQAzv1W","nEsXyWgiOK"],"dependent_operators":["eLAdDNolq6","23Mk6UjR3U","f6k1SAg4EE","sdazOOVcIp","NTOWxs364D","COABgblf1C","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","14qkJME0vr","eLAdDNolq6","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG"],"result":"≴∭⊉-1261","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1041","layer":4},{"info":"number node, value=2437","layer":4},{"info":"compute binary expreesion, left_input=1041, right_input=2437, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1386","layer":3},{"info":"number node, value=2049","layer":4},{"info":"compute unary expreesion, input=2049, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-6226","layer":3},{"info":"compute binary expreesion, left_input=-1386, right_input=-6226, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=4840","layer":2},{"info":"number node, value=1589","layer":4},{"info":"number node, value=5145","layer":4},{"info":"compute binary expreesion, left_input=1589, right_input=5145, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=4311","layer":3},{"info":"compute unary expreesion, input=4311, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-4038","layer":2},{"info":"compute binary expreesion, left_input=4840, right_input=-4038, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=20578","layer":1},{"info":"compute unary expreesion, input=20578, op_id = KipPnG1M2J, unary_op_definition = 'a∀⋜↑ = { ((≤/a)⪒(a⋷a)) }', output=-484","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉3015⨰≴∭⊉10051∠⫱(∂⩏⊆≴∭⊉5655))⇴(↔(≴∭⊉4430⨻⩈⩔≴∭⊉21000))∀⋜↑=≴∭⊉-1261","reverse_text":"≴∭⊉-1261=(≴∭⊉3015⨰≴∭⊉10051∠⫱(∂⩏⊆≴∭⊉5655))⇴(↔(≴∭⊉4430⨻⩈⩔≴∭⊉21000))∀⋜↑","cot":[{"info":"≴∭⊉3015⨰≴∭⊉10051=≴∭⊉-4020","layer":3},{"info":"∂⩏⊆≴∭⊉5655=≴∭⊉-24103","layer":3},{"info":"≴∭⊉-4020∠⫱≴∭⊉-24103=≴∭⊉20053","layer":2},{"info":"≴∭⊉4430⨻⩈⩔≴∭⊉21000=≴∭⊉15366","layer":3},{"info":"↔≴∭⊉15366=≴∭⊉-14526","layer":2},{"info":"≴∭⊉20053⇴≴∭⊉-14526=≴∭⊉113665","layer":1},{"info":"≴∭⊉113665∀⋜↑=≴∭⊉-1261","layer":0}]}
+{"id":422,"expression_no_base_symbol":"($2111$⋅⇍$2662$⊉≛↸$2608$≒∊$2671$+(↥≼⋛$7273$)⫗⊷⫓($2363$⩨$1010$))⊬⨰($1468$⋛$1193$⩹(⫖→$5533$))⊉↱≁($2835$⫘$6145$≃$2315$∇⊂⋱$3920$)","expression":"(≴∭⊉6104⋅⇍≴∭⊉10522⊉≛↸≴∭⊉10414≒∊≴∭⊉10534+(↥≼⋛≴∭⊉30130)⫗⊷⫓(≴∭⊉6614⩨≴∭⊉2642))⊬⨰(≴∭⊉4165⋛≴∭⊉3323⩹(⫖→≴∭⊉22063))⊉↱≁(≴∭⊉11160⫘≴∭⊉23626≃≴∭⊉6515∇⊂⋱≴∭⊉14300)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":96721,"operation_count":15,"complexity_ratio":6448.066666666667,"tree":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":2111,"base":7},"right_expr":{"type":"numeric_atoms","value":2662,"base":7}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":2608,"base":7},"right_expr":{"type":"numeric_atoms","value":2671,"base":7}}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"numeric_atoms","value":7273,"base":7}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2363,"base":7},"right_expr":{"type":"numeric_atoms","value":1010,"base":7}}}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":1468,"base":7},"right_expr":{"type":"numeric_atoms","value":1193,"base":7}},"right_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"numeric_atoms","value":5533,"base":7}}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":2835,"base":7},"right_expr":{"type":"numeric_atoms","value":6145,"base":7}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":2315,"base":7},"right_expr":{"type":"numeric_atoms","value":3920,"base":7}}}}},"used_operators":["s3Fd5m9Dh2","W4YGzv6Whe","DZ8iAZOCBD","AdZkA7nFnk","5KTvxBwnZo","zashukvMKz","x5lMkHmzsq","2DlMacCsIx","w2P8NbNXyL","2Wsdkap16l","YbUVn0Rbpy","U4ylXWHChL","YbVcJGFEVW","48vC8HMD2b","nhYeJWJD5X"],"dependent_operators":["23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx"],"result":"≴∭⊉10641060310","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2111","layer":4},{"info":"number node, value=2662","layer":4},{"info":"compute binary expreesion, left_input=2111, right_input=2662, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"number node, value=2608","layer":4},{"info":"number node, value=2671","layer":4},{"info":"compute binary expreesion, left_input=2608, right_input=2671, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-2124","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=-2124, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-44","layer":2},{"info":"number node, value=7273","layer":4},{"info":"compute unary expreesion, input=7273, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-113","layer":3},{"info":"number node, value=2363","layer":4},{"info":"number node, value=1010","layer":4},{"info":"compute binary expreesion, left_input=2363, right_input=1010, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-113, right_input=0, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":2},{"info":"compute binary expreesion, left_input=-44, right_input=-134, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-178","layer":1},{"info":"number node, value=1468","layer":4},{"info":"number node, value=1193","layer":4},{"info":"compute binary expreesion, left_input=1468, right_input=1193, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-118980","layer":3},{"info":"number node, value=5533","layer":4},{"info":"compute unary expreesion, input=5533, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":3},{"info":"compute binary expreesion, left_input=-118980, right_input=177, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=175","layer":2},{"info":"number node, value=2835","layer":4},{"info":"number node, value=6145","layer":4},{"info":"compute binary expreesion, left_input=2835, right_input=6145, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=3338365","layer":3},{"info":"number node, value=2315","layer":4},{"info":"number node, value=3920","layer":4},{"info":"compute binary expreesion, left_input=2315, right_input=3920, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=4084","layer":3},{"info":"compute binary expreesion, left_input=3338365, right_input=4084, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-13353500","layer":2},{"info":"compute binary expreesion, left_input=175, right_input=-13353500, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=80122698","layer":1},{"info":"compute binary expreesion, left_input=-178, right_input=80122698, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=320490436","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉6104⋅⇍≴∭⊉10522⊉≛↸≴∭⊉10414≒∊≴∭⊉10534+(↥≼⋛≴∭⊉30130)⫗⊷⫓(≴∭⊉6614⩨≴∭⊉2642))⊬⨰(≴∭⊉4165⋛≴∭⊉3323⩹(⫖→≴∭⊉22063))⊉↱≁(≴∭⊉11160⫘≴∭⊉23626≃≴∭⊉6515∇⊂⋱≴∭⊉14300)=≴∭⊉10641060310","reverse_text":"≴∭⊉10641060310=(≴∭⊉6104⋅⇍≴∭⊉10522⊉≛↸≴∭⊉10414≒∊≴∭⊉10534+(↥≼⋛≴∭⊉30130)⫗⊷⫓(≴∭⊉6614⩨≴∭⊉2642))⊬⨰(≴∭⊉4165⋛≴∭⊉3323⩹(⫖→≴∭⊉22063))⊉↱≁(≴∭⊉11160⫘≴∭⊉23626≃≴∭⊉6515∇⊂⋱≴∭⊉14300)","cot":[{"info":"≴∭⊉6104⋅⇍≴∭⊉10522=≴∭⊉-31","layer":3},{"info":"≴∭⊉10414≒∊≴∭⊉10534=≴∭⊉-6123","layer":3},{"info":"≴∭⊉-31⊉≛↸≴∭⊉-6123=≴∭⊉-62","layer":2},{"info":"↥��⋛≴∭⊉30130=≴∭⊉-221","layer":3},{"info":"≴∭⊉6614⩨≴∭⊉2642=≴∭⊉0","layer":3},{"info":"≴∭⊉-221⫗⊷⫓≴∭⊉0=≴∭⊉-251","layer":2},{"info":"≴∭⊉-62+≴∭⊉-251=≴∭⊉-343","layer":1},{"info":"≴∭⊉4165⋛≴∭⊉3323=≴∭⊉-1003611","layer":3},{"info":"⫖→≴∭⊉22063=≴∭⊉342","layer":3},{"info":"≴∭⊉-1003611⩹≴∭⊉342=≴∭⊉340","layer":2},{"info":"≴∭⊉11160⫘≴∭⊉23626=≴∭⊉40242562","layer":3},{"info":"≴∭⊉6515∇⊂⋱≴∭⊉14300=≴∭⊉14623","layer":3},{"info":"≴∭⊉40242562≃≴∭⊉14623=≴∭⊉-221334326","layer":2},{"info":"≴∭⊉340⊉↱≁≴∭⊉-221334326=≴∭⊉1662013605","layer":1},{"info":"≴∭⊉-343⊬⨰≴∭⊉1662013605=≴∭⊉10641060310","layer":0}]}
+{"id":423,"expression_no_base_symbol":"(⨈⫕$2125$)∋(⩦⊞$1998$)⩁⩘(⨞⊢$7287$⫲≸⪮$2209$)⋣⋖(⫟(↨⩢⫨$1587$)⇍⊗($2928$⋳⪒$9642$))","expression":"(⨈⫕≴∭⊉6124)∋(⩦⊞≴∭⊉5553)⩁⩘(⨞⊢≴∭⊉30150⫲≸⪮≴∭⊉6304)⋣⋖(⫟(↨⩢⫨≴∭⊉4425)⇍⊗(≴∭⊉11352⋳⪒≴∭⊉40053))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":8377,"operation_count":11,"complexity_ratio":761.5454545454545,"tree":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":2125,"base":7}},"right_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"numeric_atoms","value":1998,"base":7}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":7287,"base":7},"right_expr":{"type":"numeric_atoms","value":2209,"base":7}}}},"right_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"numeric_atoms","value":1587,"base":7}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2928,"base":7},"right_expr":{"type":"numeric_atoms","value":9642,"base":7}}}}},"used_operators":["J0M6qkBnIM","gub5Cegaqo","ukq6epAj5P","megm06wKyl","u7fv1HBiaC","xUOZtlo3hN","P3lXMJvFrc","z4E1FaHLuy","5uvYHDjeKN","Z5CJsN7DuW","12rbrZMWeM"],"dependent_operators":["VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","DpFCA1CohY","IWmyXbctLI","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","rysDP5nf3Z","t8gj7n24qd"],"result":"≴∭⊉-150150","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2125","layer":4},{"info":"compute unary expreesion, input=2125, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":3},{"info":"number node, value=1998","layer":4},{"info":"compute unary expreesion, input=1998, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-1725","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=-1725, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=-54540","layer":2},{"info":"number node, value=7287","layer":4},{"info":"number node, value=2209","layer":4},{"info":"compute binary expreesion, left_input=7287, right_input=2209, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=7287","layer":3},{"info":"compute unary expreesion, input=7287, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-7461","layer":2},{"info":"compute binary expreesion, left_input=-54540, right_input=-7461, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=-28896","layer":1},{"info":"number node, value=1587","layer":4},{"info":"compute unary expreesion, input=1587, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":3},{"info":"number node, value=2928","layer":4},{"info":"number node, value=9642","layer":4},{"info":"compute binary expreesion, left_input=2928, right_input=9642, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-4073","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-4073, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":2},{"info":"compute unary expreesion, input=-244, op_id = z4E1FaHLuy, unary_op_definition = '⫟a = { (((-a)⪨≂(a⨸⪁a))≧⫂∧((a⩷∴a)⨰(a⫡⨏a))) , if (a⫌⩹⨱)>=11 ; (((a+263)⋝⋈⪟(a⨳⩥⨓a))⪒((a⋥≓≎a)⫩⊇)) , else }', output=430","layer":1},{"info":"compute binary expreesion, left_input=-28896, right_input=430, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=-28896","layer":0}],"base":7,"result_base":7,"text":"(⨈⫕≴∭⊉6124)∋(⩦⊞≴∭⊉5553)⩁⩘(⨞⊢≴∭⊉30150⫲≸⪮≴∭⊉6304)⋣⋖(⫟(↨⩢⫨≴∭⊉4425)⇍⊗(≴∭⊉11352⋳⪒≴∭⊉40053))=≴∭⊉-150150","reverse_text":"≴∭⊉-150150=(⨈⫕≴∭⊉6124)∋(⩦⊞≴∭⊉5553)⩁⩘(⨞⊢≴∭⊉30150⫲≸⪮≴∭⊉6304)⋣⋖(⫟(↨⩢⫨≴∭⊉4425)⇍⊗(≴∭⊉11352⋳⪒≴∭⊉40053))","cot":[{"info":"⨈⫕≴∭⊉6124=≴∭⊉-30","layer":3},{"info":"⩦⊞≴∭⊉5553=≴∭⊉-5013","layer":3},{"info":"≴∭⊉-30∋≴∭⊉-5013=≴∭⊉-315003","layer":2},{"info":"≴∭⊉30150⫲≸⪮≴∭⊉6304=≴∭⊉30150","layer":3},{"info":"⨞⊢≴∭⊉30150=≴∭⊉-30516","layer":2},{"info":"≴∭⊉-315003⩁⩘≴∭⊉-30516=≴∭⊉-150150","layer":1},{"info":"↨⩢⫨≴∭⊉4425=≴∭⊉0","layer":3},{"info":"≴∭⊉11352⋳⪒≴∭⊉40053=≴∭⊉-14606","layer":3},{"info":"≴∭⊉0⇍⊗≴∭⊉-14606=≴∭⊉-466","layer":2},{"info":"⫟≴∭⊉-466=≴∭⊉1153","layer":1},{"info":"≴∭⊉-150150⋣⋖≴∭⊉1153=≴∭⊉-150150","layer":0}]}
+{"id":424,"expression_no_base_symbol":"⨩∲⋌((($3027$⊓⋫)⪉⨛(⪓⩚$1060$))⫏⊷)","expression":"⨩∲⋌(((≴∭⊉11553⊓⋫)⪉⨛(⪓⩚≴∭⊉3043))⫏⊷)","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":35175,"operation_count":5,"complexity_ratio":7035.0,"tree":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"unary","operator":"⫏⊷","unary_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"unary","operator":"⊓⋫","unary_expr":{"type":"numeric_atoms","value":3027,"base":7}},"right_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"numeric_atoms","value":1060,"base":7}}}}},"used_operators":["aSik1wnThz","dcShxvzhyw","EWw2JM7wp4","IqGBaFP0uj","u0R0Locfp2"],"dependent_operators":["rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","FU0Cs4j7VP","7YooWSwCyH","HK0tfVPux8","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","2td37pGCOC","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","nCS4ZIUYfx","QMFrweE19q","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ"],"result":"≴∭⊉-11333","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3027","layer":4},{"info":"compute unary expreesion, input=3027, op_id = IqGBaFP0uj, unary_op_definition = 'a⊓⋫ = { (((a⪨≂a)⨳⩥⨓(⩦⩻⨪230))⪒(a⋝⋈⪟(542⫡⨏384))) }', output=-3155","layer":3},{"info":"number node, value=1060","layer":4},{"info":"compute unary expreesion, input=1060, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":3},{"info":"compute binary expreesion, left_input=-3155, right_input=426, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=-10528","layer":2},{"info":"compute unary expreesion, input=-10528, op_id = dcShxvzhyw, unary_op_definition = 'a⫏⊷ = { ((224∪⫐a)⊾⪯⋞(a↛⩡⫤)) }', output=2392","layer":1},{"info":"compute unary expreesion, input=2392, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-2915","layer":0}],"base":7,"result_base":7,"text":"⨩∲⋌(((≴∭⊉11553⊓⋫)⪉⨛(⪓⩚≴∭⊉3043))⫏⊷)=≴∭⊉-11333","reverse_text":"≴∭⊉-11333=⨩∲⋌(((≴∭⊉11553⊓⋫)⪉⨛(⪓⩚≴∭⊉3043))⫏⊷)","cot":[{"info":"≴∭⊉11553⊓⋫=≴∭⊉-12125","layer":3},{"info":"⪓⩚≴∭⊉3043=≴∭⊉1146","layer":3},{"info":"≴∭⊉-12125⪉⨛≴∭⊉1146=≴∭⊉-42460","layer":2},{"info":"≴∭⊉-42460⫏⊷=≴∭⊉6655","layer":1},{"info":"⨩∲⋌≴∭⊉6655=≴∭⊉-11333","layer":0}]}
+{"id":425,"expression_no_base_symbol":"((($1537$∑⇟⊟$9546$)⊝⪿⪼($1296$⫚↹⊑$5330$))⪘⫢(⪭⩑⪱($1260$⩒⫫$3730$)))⇔⨋","expression":"(((≴∭⊉4324∑⇟⊟≴∭⊉36555)⊝⪿⪼(≴∭⊉3531⫚↹⊑≴∭⊉21353))⪘⫢(⪭⩑⪱(≴∭⊉3450⩒⫫≴∭⊉13606)))⇔⨋","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":243543,"operation_count":7,"complexity_ratio":34791.857142857145,"tree":{"type":"unary","operator":"⇔⨋","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1537,"base":7},"right_expr":{"type":"numeric_atoms","value":9546,"base":7}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":1296,"base":7},"right_expr":{"type":"numeric_atoms","value":5330,"base":7}}},"right_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":1260,"base":7},"right_expr":{"type":"numeric_atoms","value":3730,"base":7}}}}},"used_operators":["uBihLCJcMX","oacrs7FA3X","3Oe9XWJUTD","U7g4x0WXJJ","dfKe02y8D2","SIgE0bArFf","KFSx94NKJn"],"dependent_operators":["N41Kp7NANJ","7j4O788W3g","glklzrTFfD","tifHPKVTfV","12rbrZMWeM","f6k1SAg4EE","D4vGDi5EA2","nCS4ZIUYfx","QMFrweE19q","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1537","layer":4},{"info":"number node, value=9546","layer":4},{"info":"compute binary expreesion, left_input=1537, right_input=9546, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1296","layer":4},{"info":"number node, value=5330","layer":4},{"info":"compute binary expreesion, left_input=1296, right_input=5330, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-447, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=nan","layer":2},{"info":"number node, value=1260","layer":4},{"info":"number node, value=3730","layer":4},{"info":"compute binary expreesion, left_input=1260, right_input=3730, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=958","layer":3},{"info":"compute unary expreesion, input=958, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=8320752, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = uBihLCJcMX, unary_op_definition = 'a⇔⨋ = { (((a⨁⊸⫻)⋳⪒a)⪒((a≦≮≮)⨁⊸⫻)) , if a<217 ; (((a≋⫹)⨳⩥⨓(a↺a))⋳⪒((a⨳⩥⨓a)⫡⨏(a⇼⇔∾a))) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(((≴∭⊉4324∑⇟⊟≴∭⊉36555)⊝⪿⪼(≴∭⊉3531⫚↹⊑≴∭⊉21353))⪘⫢(⪭⩑⪱(≴∭⊉3450⩒⫫≴∭⊉13606)))⇔⨋=NaN","reverse_text":"NaN=(((≴∭⊉4324∑⇟⊟≴∭⊉36555)⊝⪿⪼(≴∭⊉3531⫚↹⊑≴∭⊉21353))⪘⫢(⪭⩑⪱(≴∭⊉3450⩒⫫≴∭⊉13606)))⇔⨋","cot":[{"info":"≴∭⊉4324∑⇟⊟≴∭⊉36555=NaN","layer":3},{"info":"≴∭⊉3531⫚↹⊑≴∭⊉21353=≴∭⊉-1206","layer":3},{"info":"NaN⊝⪿⪼≴∭⊉-1206=NaN","layer":2},{"info":"≴∭⊉3450⩒⫫≴∭⊉13606=≴∭⊉2536","layer":3},{"info":"⪭⩑⪱≴∭⊉2536=≴∭⊉130503516","layer":2},{"info":"NaN⪘⫢≴∭⊉130503516=NaN","layer":1},{"info":"NaN⇔⨋=NaN","layer":0}]}
+{"id":426,"expression_no_base_symbol":"⇋↷((∮$3593$)⨚⇆$1368$⨫⇇↔$2915$⪨⊡(⨵≀≌$4142$⫒⫫$1135$))","expression":"⇋↷((∮≴∭⊉13322)⨚⇆≴∭⊉3663⨫⇇↔≴∭⊉11333⪨⊡(⨵≀≌≴∭⊉15035⫒⫫≴∭⊉3211))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":848,"operation_count":7,"complexity_ratio":121.14285714285714,"tree":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"numeric_atoms","value":3593,"base":7}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":1368,"base":7},"right_expr":{"type":"numeric_atoms","value":2915,"base":7}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":4142,"base":7},"right_expr":{"type":"numeric_atoms","value":1135,"base":7}}}}},"used_operators":["SWo3A1KBJH","kuIXHzHcAH","lwHaAYXP2r","CqXKPLVYql","LXhwmt4mBO","srAu1WTS94","6Ko8hGgeMq"],"dependent_operators":["XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=3593","layer":4},{"info":"compute unary expreesion, input=3593, op_id = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=67","layer":3},{"info":"number node, value=1368","layer":4},{"info":"number node, value=2915","layer":4},{"info":"compute binary expreesion, left_input=1368, right_input=2915, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=-527, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":2},{"info":"number node, value=4142","layer":4},{"info":"number node, value=1135","layer":4},{"info":"compute binary expreesion, left_input=4142, right_input=1135, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"⇋↷((∮≴∭⊉13322)⨚⇆≴∭⊉3663⨫⇇↔≴∭⊉11333⪨⊡(⨵≀≌≴∭⊉15035⫒⫫≴∭⊉3211))=NaN","reverse_text":"NaN=⇋↷((∮≴∭⊉13322)⨚⇆≴∭⊉3663⨫⇇↔≴∭⊉11333⪨⊡(⨵≀≌≴∭⊉15035⫒⫫≴∭⊉3211))","cot":[{"info":"∮≴∭⊉13322=≴∭⊉124","layer":3},{"info":"≴∭⊉3663⨫⇇↔≴∭⊉11333=≴∭⊉-1352","layer":3},{"info":"≴∭⊉124⨚⇆≴∭⊉-1352=NaN","layer":2},{"info":"≴∭⊉15035⫒⫫≴∭⊉3211=NaN","layer":3},{"info":"⨵≀≌NaN=NaN","layer":2},{"info":"NaN⪨⊡NaN=NaN","layer":1},{"info":"⇋↷NaN=NaN","layer":0}]}
+{"id":427,"expression_no_base_symbol":"⫡⇟⇯(($6032$⋳⪒$3584$)⇌⫙⪟$3505$∇⊂⋱$3648$)∀⇚≩(⨆≐≲$2656$)⫗⊷⫓(⋣$4057$)","expression":"⫡⇟⇯((≴∭⊉23405⋳⪒≴∭⊉13310)⇌⫙⪟≴∭⊉13135∇⊂⋱≴∭⊉13431)∀⇚≩(⨆≐≲≴∭⊉10513)⫗⊷⫓(⋣≴∭⊉14554)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1767,"operation_count":8,"complexity_ratio":220.875,"tree":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":6032,"base":7},"right_expr":{"type":"numeric_atoms","value":3584,"base":7}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":3505,"base":7},"right_expr":{"type":"numeric_atoms","value":3648,"base":7}}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"numeric_atoms","value":2656,"base":7}},"right_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"numeric_atoms","value":4057,"base":7}}}}},"used_operators":["qWUSsah53b","LRNGc0VcxI","AFVx7xoS7T","12rbrZMWeM","nhYeJWJD5X","zashukvMKz","Bi9z9uYZqW","zQWRhDnn8F"],"dependent_operators":["DZ8iAZOCBD","P8v4zCKN1o","X99M06cbEe","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","rysDP5nf3Z","t8gj7n24qd","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6032","layer":4},{"info":"number node, value=3584","layer":4},{"info":"compute binary expreesion, left_input=6032, right_input=3584, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=8193","layer":3},{"info":"number node, value=3505","layer":4},{"info":"number node, value=3648","layer":4},{"info":"compute binary expreesion, left_input=3505, right_input=3648, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=6464","layer":3},{"info":"compute binary expreesion, left_input=8193, right_input=6464, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":2},{"info":"number node, value=2656","layer":4},{"info":"compute unary expreesion, input=2656, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=28733784","layer":3},{"info":"number node, value=4057","layer":4},{"info":"compute unary expreesion, input=4057, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-1192663","layer":3},{"info":"compute binary expreesion, left_input=28733784, right_input=-1192663, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":2},{"info":"compute binary expreesion, left_input=113, right_input=-134, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"⫡⇟⇯((≴∭⊉23405⋳⪒≴∭⊉13310)⇌⫙⪟≴∭⊉13135∇⊂⋱≴∭⊉13431)∀⇚≩(⨆≐≲≴∭⊉10513)⫗⊷⫓(⋣≴∭⊉14554)=NaN","reverse_text":"NaN=⫡⇟⇯((≴∭⊉23405⋳⪒≴∭⊉13310)⇌⫙⪟≴∭⊉13135∇⊂⋱≴∭⊉13431)∀⇚≩(⨆≐≲≴∭⊉10513)⫗⊷⫓(⋣≴∭⊉14554)","cot":[{"info":"≴∭⊉23405⋳⪒≴∭⊉13310=≴∭⊉32613","layer":3},{"info":"≴∭⊉13135∇⊂⋱≴∭⊉13431=≴∭⊉24563","layer":3},{"info":"≴∭⊉32613⇌⫙⪟≴∭⊉24563=≴∭⊉221","layer":2},{"info":"⨆≐≲≴∭⊉10513=≴∭⊉466142652","layer":3},{"info":"⋣≴∭⊉14554=≴∭⊉-13065103","layer":3},{"info":"≴∭⊉466142652⫗⊷⫓≴∭⊉-13065103=≴∭⊉-251","layer":2},{"info":"≴∭⊉221∀⇚≩≴∭⊉-251=NaN","layer":1},{"info":"⫡⇟⇯NaN=NaN","layer":0}]}
+{"id":428,"expression_no_base_symbol":"⪓⩚($7290$⊴$6184$⩒⫫(⨵$3798$))≁($2040$⊔$1151$)⨿($5438$⨓$2324$)","expression":"⪓⩚(≴∭⊉30153⊴≴∭⊉24013⩒⫫(⨵≴∭⊉14034))≁(≴∭⊉5643⊔≴∭⊉3233)⨿(≴∭⊉21566⨓≴∭⊉6530)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":12402,"operation_count":8,"complexity_ratio":1550.25,"tree":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":7290,"base":7},"right_expr":{"type":"numeric_atoms","value":6184,"base":7}},"right_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"numeric_atoms","value":3798,"base":7}}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":2040,"base":7},"right_expr":{"type":"numeric_atoms","value":1151,"base":7}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":5438,"base":7},"right_expr":{"type":"numeric_atoms","value":2324,"base":7}}}}},"used_operators":["u0R0Locfp2","8N2wDY1A35","KFSx94NKJn","Nsiff2A1zJ","Tl3Y52tvF8","abYXlopdE0","E4l6HwMY31","3ViojmjbAp"],"dependent_operators":["6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","dWAJyo7jo9","14qkJME0vr","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"≴∭⊉1146","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=7290","layer":4},{"info":"number node, value=6184","layer":4},{"info":"compute binary expreesion, left_input=7290, right_input=6184, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=3798","layer":4},{"info":"compute unary expreesion, input=3798, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=-31593","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-31593, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=nan","layer":2},{"info":"number node, value=2040","layer":4},{"info":"number node, value=1151","layer":4},{"info":"compute binary expreesion, left_input=2040, right_input=1151, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=7435","layer":3},{"info":"number node, value=5438","layer":4},{"info":"number node, value=2324","layer":4},{"info":"compute binary expreesion, left_input=5438, right_input=2324, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2327","layer":3},{"info":"compute binary expreesion, left_input=7435, right_input=-2327, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-319, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":0}],"base":7,"result_base":7,"text":"⪓⩚(≴∭⊉30153⊴≴∭⊉24013⩒⫫(⨵≴∭⊉14034))≁(≴∭⊉5643⊔≴∭⊉3233)⨿(≴∭⊉21566⨓≴∭⊉6530)=≴∭⊉1146","reverse_text":"≴∭⊉1146=⪓⩚(≴∭⊉30153⊴≴∭⊉24013⩒⫫(⨵≴∭⊉14034))≁(≴∭⊉5643⊔≴∭⊉3233)⨿(≴∭⊉21566⨓≴∭⊉6530)","cot":[{"info":"≴∭⊉30153⊴≴∭⊉24013=NaN","layer":3},{"info":"⨵≴∭⊉14034=≴∭⊉-161052","layer":3},{"info":"NaN⩒⫫≴∭⊉-161052=NaN","layer":2},{"info":"≴∭⊉5643⊔≴∭⊉3233=≴∭⊉30451","layer":3},{"info":"≴∭⊉21566⨓≴∭⊉6530=≴∭⊉-6533","layer":3},{"info":"≴∭⊉30451⨿≴∭⊉-6533=≴∭⊉-634","layer":2},{"info":"NaN≁≴∭⊉-634=NaN","layer":1},{"info":"⪓⩚NaN=≴∭⊉1146","layer":0}]}
+{"id":429,"expression_no_base_symbol":"(($7519$⩺⪪$1162$)≬⇓($1146$⋻⩜⩜$2323$))⨓(≻⋜(⫖→$6394$))⩏","expression":"((≴∭⊉30631⩺⪪≴∭⊉3250)≬⇓(≴∭⊉3225⋻⩜⩜≴∭⊉6526))⨓(≻⋜(⫖→≴∭⊉24433))⩏","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":348765,"operation_count":7,"complexity_ratio":49823.57142857143,"tree":{"type":"unary","operator":"⩏","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":7519,"base":7},"right_expr":{"type":"numeric_atoms","value":1162,"base":7}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":1146,"base":7},"right_expr":{"type":"numeric_atoms","value":2323,"base":7}}},"right_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"numeric_atoms","value":6394,"base":7}}}}},"used_operators":["iA2gmKZ3Wj","3ViojmjbAp","jWTQ2TZYIH","uvdQJvN4PV","oDCm7WA9JY","3tj9sqzovi","U4ylXWHChL"],"dependent_operators":["z6LnFrNh4i","Tcnh7f0tEr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=7519","layer":4},{"info":"number node, value=1162","layer":4},{"info":"compute binary expreesion, left_input=7519, right_input=1162, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-102610","layer":3},{"info":"number node, value=1146","layer":4},{"info":"number node, value=2323","layer":4},{"info":"compute binary expreesion, left_input=1146, right_input=2323, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=2292","layer":3},{"info":"compute binary expreesion, left_input=-102610, right_input=2292, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=inf","layer":2},{"info":"number node, value=6394","layer":4},{"info":"compute unary expreesion, input=6394, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":3},{"info":"compute unary expreesion, input=177, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=inf, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = iA2gmKZ3Wj, unary_op_definition = 'a⩏ = { ((a⋕⪉⪜272)≣⋋) }', output=0","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉30631⩺⪪≴∭⊉3250)≬⇓(≴∭⊉3225⋻⩜⩜≴∭⊉6526))⨓(≻⋜(⫖→≴∭⊉24433))⩏=≴∭⊉0","reverse_text":"≴∭⊉0=((≴∭⊉30631⩺⪪≴∭⊉3250)≬⇓(≴∭⊉3225⋻⩜⩜≴∭⊉6526))⨓(≻⋜(⫖→≴∭⊉24433))⩏","cot":[{"info":"≴∭⊉30631⩺⪪≴∭⊉3250=≴∭⊉-605104","layer":3},{"info":"≴∭⊉3225⋻⩜⩜≴∭⊉6526=≴∭⊉6453","layer":3},{"info":"≴∭⊉-605104≬⇓≴∭⊉6453=Inf","layer":2},{"info":"⫖→≴∭⊉24433=≴∭⊉342","layer":3},{"info":"≻⋜≴∭⊉342=NaN","layer":2},{"info":"Inf⨓NaN=NaN","layer":1},{"info":"NaN⩏=≴∭⊉0","layer":0}]}
+{"id":430,"expression_no_base_symbol":"((($3806$⪊≅)⊉≛↸$2759$≚⊃≕$7352$)⨎$7293$↢$1974$∣($3627$⊟⇱))↓⨍⋜","expression":"(((≴∭⊉14045⪊≅)⊉≛↸≴∭⊉11021≚⊃≕≴∭⊉30302)⨎≴∭⊉30156↢≴∭⊉5520∣(≴∭⊉13401⊟⇱))↓⨍⋜","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":309,"operation_count":8,"complexity_ratio":38.625,"tree":{"type":"unary","operator":"↓⨍⋜","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⪊≅","unary_expr":{"type":"numeric_atoms","value":3806,"base":7}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":2759,"base":7},"right_expr":{"type":"numeric_atoms","value":7352,"base":7}}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":7293,"base":7},"right_expr":{"type":"numeric_atoms","value":1974,"base":7}},"right_expr":{"type":"unary","operator":"⊟⇱","unary_expr":{"type":"numeric_atoms","value":3627,"base":7}}}}},"used_operators":["3DVzLFNsE9","rJVOvQCfKK","DZ8iAZOCBD","bjFbhXSADs","Bmrmz2XGnR","PPChnnnBFF","WR6HLWljOP","03sUfWo75k"],"dependent_operators":["OKKcZfAt5B","zR4jO40bMj","XnXgA4xnOs","o20kRiQErp","7t3wd0Fuz7","Z5m6OM72h2","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","COABgblf1C","JLbD19bQDL","nCS4ZIUYfx","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","IWmyXbctLI"],"result":"≴∭⊉25133","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3806","layer":4},{"info":"compute unary expreesion, input=3806, op_id = bjFbhXSADs, unary_op_definition = 'a⪊≅ = { (377⪠⩆⊳) , if (a⊭↱876)>=867 ; (a⨳⩥⨓a) , else }', output=0","layer":3},{"info":"number node, value=2759","layer":4},{"info":"number node, value=7352","layer":4},{"info":"compute binary expreesion, left_input=2759, right_input=7352, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=-20034","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-20034, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=0","layer":2},{"info":"number node, value=7293","layer":4},{"info":"number node, value=1974","layer":4},{"info":"compute binary expreesion, left_input=7293, right_input=1974, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=6809","layer":3},{"info":"number node, value=3627","layer":4},{"info":"compute unary expreesion, input=3627, op_id = 03sUfWo75k, unary_op_definition = 'a⊟⇱ = { (a⪮%⊝a) }', output=7570","layer":3},{"info":"compute binary expreesion, left_input=6809, right_input=7570, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=6809","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=6809, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=6809","layer":1},{"info":"compute unary expreesion, input=6809, op_id = 3DVzLFNsE9, unary_op_definition = 'a↓⨍⋜ = { (((a≝⊿a)⪶≀⋏(a∸))⨑≵⋬((a⋥⋵⩄a)∘(a⪶≀⋏a))) }', output=6590","layer":0}],"base":7,"result_base":7,"text":"(((≴∭⊉14045⪊≅)⊉≛↸≴∭⊉11021≚⊃≕≴∭⊉30302)⨎≴∭⊉30156↢≴∭⊉5520∣(≴∭⊉13401⊟⇱))↓⨍⋜=≴∭⊉25133","reverse_text":"≴∭⊉25133=(((≴∭⊉14045⪊≅)⊉≛↸≴∭⊉11021≚⊃≕≴∭⊉30302)⨎≴∭⊉30156↢≴∭⊉5520∣(≴∭⊉13401⊟⇱))↓⨍⋜","cot":[{"info":"≴∭⊉14045⪊≅=≴∭⊉0","layer":3},{"info":"≴∭⊉11021≚⊃≕≴∭⊉30302=≴∭⊉-112260","layer":3},{"info":"≴∭⊉0⊉≛↸≴∭⊉-112260=≴∭⊉0","layer":2},{"info":"≴∭⊉30156↢≴∭⊉5520=≴∭⊉25565","layer":3},{"info":"≴∭⊉13401⊟⇱=≴∭⊉31033","layer":3},{"info":"≴∭⊉25565∣≴∭⊉31033=≴∭⊉25565","layer":2},{"info":"≴∭⊉0⨎≴∭⊉25565=≴∭⊉25565","layer":1},{"info":"≴∭⊉25565↓⨍⋜=≴∭⊉25133","layer":0}]}
+{"id":431,"expression_no_base_symbol":"≸≮(⊽($1593$⪕$4902$))≌(↨⩢⫨($2195$⨽$2614$))","expression":"≸≮(⊽(≴∭⊉4434⪕≴∭⊉20202))≌(↨⩢⫨(≴∭⊉6254⨽≴∭⊉10423))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":12977,"operation_count":6,"complexity_ratio":2162.8333333333335,"tree":{"type":"unary","operator":"≸≮","unary_expr":{"type":"binary","operator":"≌","left_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":1593,"base":7},"right_expr":{"type":"numeric_atoms","value":4902,"base":7}}},"right_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2195,"base":7},"right_expr":{"type":"numeric_atoms","value":2614,"base":7}}}}},"used_operators":["AljMvE3RRm","lyWz822IDG","QxG7OkqoLX","umQnsF7QlU","Z5CJsN7DuW","8HhzD0ZcuI"],"dependent_operators":["3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1593","layer":4},{"info":"number node, value=4902","layer":4},{"info":"compute binary expreesion, left_input=1593, right_input=4902, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=-55","layer":3},{"info":"compute unary expreesion, input=-55, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=1412","layer":2},{"info":"number node, value=2195","layer":4},{"info":"number node, value=2614","layer":4},{"info":"compute binary expreesion, left_input=2195, right_input=2614, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-14460603","layer":3},{"info":"compute unary expreesion, input=-14460603, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=1412, right_input=0, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=9080","layer":1},{"info":"compute unary expreesion, input=9080, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"≸≮(⊽(≴∭⊉4434⪕≴∭⊉20202))≌(↨⩢⫨(≴∭⊉6254⨽≴∭⊉10423))=NaN","reverse_text":"NaN=≸≮(⊽(≴∭⊉4434⪕≴∭⊉20202))≌(↨⩢⫨(≴∭⊉6254⨽≴∭⊉10423))","cot":[{"info":"≴∭⊉4434⪕≴∭⊉20202=≴∭⊉-106","layer":3},{"info":"⊽≴∭⊉-106=≴∭⊉4055","layer":2},{"info":"≴∭⊉6254⨽≴∭⊉10423=≴∭⊉-233625123","layer":3},{"info":"↨⩢⫨≴∭⊉-233625123=≴∭⊉0","layer":2},{"info":"≴∭⊉4055≌≴∭⊉0=≴∭⊉35321","layer":1},{"info":"≸≮≴∭⊉35321=NaN","layer":0}]}
+{"id":432,"expression_no_base_symbol":"⪨⨬(($3569$≝⊿$4063$⋭≵$1732$∊∟⩊$6191$)≓∲(⇙⪊$5439$)∙⊟$3611$⩵∡$2958$)","expression":"⪨⨬((≴∭⊉13256≝⊿≴∭⊉14563⋭≵≴∭⊉5023∊∟⩊≴∭⊉24023)≓∲(⇙⪊≴∭⊉21600)∙⊟≴∭⊉13346⩵∡≴∭⊉11424)","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":199,"operation_count":8,"complexity_ratio":24.875,"tree":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":3569,"base":7},"right_expr":{"type":"numeric_atoms","value":4063,"base":7}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":1732,"base":7},"right_expr":{"type":"numeric_atoms","value":6191,"base":7}}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"numeric_atoms","value":5439,"base":7}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":3611,"base":7},"right_expr":{"type":"numeric_atoms","value":2958,"base":7}}}}},"used_operators":["5obUd6DV38","s1XTVnmDOJ","jBncVCNhdl","OKKcZfAt5B","ddLRYrp01A","SxTAKzQCrw","pB6Fcnrjim","Y7wcNGrDQJ"],"dependent_operators":["T2fj7uvVaJ","nlCqmYiOvY","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","12rbrZMWeM","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","tifHPKVTfV"],"result":"≴∭⊉-1351","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3569","layer":4},{"info":"number node, value=4063","layer":4},{"info":"compute binary expreesion, left_input=3569, right_input=4063, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-12228","layer":3},{"info":"number node, value=1732","layer":4},{"info":"number node, value=6191","layer":4},{"info":"compute binary expreesion, left_input=1732, right_input=6191, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=6191","layer":3},{"info":"compute binary expreesion, left_input=-12228, right_input=6191, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":2},{"info":"number node, value=5439","layer":4},{"info":"compute unary expreesion, input=5439, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":3},{"info":"number node, value=3611","layer":4},{"info":"number node, value=2958","layer":4},{"info":"compute binary expreesion, left_input=3611, right_input=2958, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-4385","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-4385, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=22285","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=22285, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=1453","layer":1},{"info":"compute unary expreesion, input=1453, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":0}],"base":7,"result_base":7,"text":"⪨⨬((≴∭⊉13256≝⊿≴∭⊉14563⋭≵≴∭⊉5023∊∟⩊≴∭⊉24023)≓∲(⇙⪊≴∭⊉21600)∙⊟≴∭⊉13346⩵∡≴∭⊉11424)=≴∭⊉-1351","reverse_text":"≴∭⊉-1351=⪨⨬((≴∭⊉13256≝⊿≴∭⊉14563⋭≵≴∭⊉5023∊∟⩊≴∭⊉24023)≓∲(⇙⪊≴∭⊉21600)∙⊟≴∭⊉13346⩵∡≴∭⊉11424)","cot":[{"info":"≴∭⊉13256≝⊿≴∭⊉14563=≴∭⊉-50436","layer":3},{"info":"≴∭⊉5023∊∟⩊≴∭⊉24023=≴∭⊉24023","layer":3},{"info":"≴∭⊉-50436⋭≵≴∭⊉24023=≴∭⊉124","layer":2},{"info":"⇙⪊≴∭⊉21600=≴∭⊉0","layer":3},{"info":"≴∭⊉13346⩵∡≴∭⊉11424=≴∭⊉-15533","layer":3},{"info":"≴∭⊉0∙⊟≴∭⊉-15533=≴∭⊉121654","layer":2},{"info":"≴∭⊉124≓∲≴∭⊉121654=≴∭⊉4144","layer":1},{"info":"⪨⨬≴∭⊉4144=≴∭⊉-1351","layer":0}]}
+{"id":433,"expression_no_base_symbol":"⋼∭⪍(≤/$1039$+⪬∐$3078$)⨔⇊((⪝⪂⫅$1841$)⩒⫫$3192$∇⊂⋱$4351$)","expression":"⋼∭⪍(≤/≴∭⊉3013+⪬∐≴∭⊉11655)⨔⇊((⪝⪂⫅≴∭⊉5240)⩒⫫≴∭⊉12210∇⊂⋱≴∭⊉15454)","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":205,"operation_count":7,"complexity_ratio":29.285714285714285,"tree":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":1039,"base":7},"right_expr":{"type":"numeric_atoms","value":3078,"base":7}}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1841,"base":7}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":3192,"base":7},"right_expr":{"type":"numeric_atoms","value":4351,"base":7}}}}},"used_operators":["DbCuESL50I","JclMnS0uGI","eLAdDNolq6","2GS7woTJqF","KFSx94NKJn","XTarYq4gQB","nhYeJWJD5X"],"dependent_operators":["e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","rysDP5nf3Z","g55IO6H4Gj","D4vGDi5EA2","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","9HNa5Wba9A","8w2t5hMYqp","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx"],"result":"≴∭⊉3131","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1039","layer":4},{"info":"number node, value=3078","layer":4},{"info":"compute binary expreesion, left_input=1039, right_input=3078, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-3117","layer":3},{"info":"compute unary expreesion, input=-3117, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=3601","layer":2},{"info":"number node, value=1841","layer":4},{"info":"compute unary expreesion, input=1841, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-270627","layer":3},{"info":"number node, value=3192","layer":4},{"info":"number node, value=4351","layer":4},{"info":"compute binary expreesion, left_input=3192, right_input=4351, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=5838","layer":3},{"info":"compute binary expreesion, left_input=-270627, right_input=5838, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=3601, right_input=160, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=160","layer":1},{"info":"compute unary expreesion, input=160, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=1100","layer":0}],"base":7,"result_base":7,"text":"⋼∭⪍(≤/≴∭⊉3013+⪬∐≴∭⊉11655)⨔⇊((⪝⪂⫅≴∭⊉5240)⩒⫫≴∭⊉12210∇⊂⋱≴∭⊉15454)=≴∭⊉3131","reverse_text":"≴∭⊉3131=⋼∭⪍(≤/≴∭⊉3013+⪬∐≴∭⊉11655)⨔⇊((⪝⪂⫅≴∭⊉5240)⩒⫫≴∭⊉12210∇⊂⋱≴∭⊉15454)","cot":[{"info":"≴∭⊉3013+⪬∐≴∭⊉11655=≴∭⊉-12042","layer":3},{"info":"≤/≴∭⊉-12042=≴∭⊉13333","layer":2},{"info":"⪝⪂⫅≴∭⊉5240=≴∭⊉-2205000","layer":3},{"info":"≴∭⊉12210∇⊂⋱≴∭⊉15454=≴∭⊉23010","layer":3},{"info":"≴∭⊉-2205000⩒⫫≴∭⊉23010=≴∭⊉316","layer":2},{"info":"≴∭⊉13333⨔⇊≴∭⊉316=≴∭⊉316","layer":1},{"info":"⋼∭⪍≴∭⊉316=≴∭⊉3131","layer":0}]}
+{"id":434,"expression_no_base_symbol":"$2239$∇⊂⋱$2280$+⪬∐($7557$∴≳≥)⪡($5174$⊢)∊∟⩊$3916$⊮⊟↴$2265$⨶","expression":"≴∭⊉6346∇⊂⋱≴∭⊉6435+⪬∐(≴∭⊉31014∴≳≥)⪡(≴∭⊉21041⊢)∊∟⩊≴∭⊉14263⊮⊟↴≴∭⊉6414⨶","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":187,"operation_count":8,"complexity_ratio":23.375,"tree":{"type":"unary","operator":"⨶","unary_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":2239,"base":7},"right_expr":{"type":"numeric_atoms","value":2280,"base":7}},"right_expr":{"type":"unary","operator":"∴≳≥","unary_expr":{"type":"numeric_atoms","value":7557,"base":7}}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"unary","operator":"⊢","unary_expr":{"type":"numeric_atoms","value":5174,"base":7}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":3916,"base":7},"right_expr":{"type":"numeric_atoms","value":2265,"base":7}}}}},"used_operators":["rFxw8gIMmB","oraRL2iQuh","2GS7woTJqF","nhYeJWJD5X","a3N2hFLK0J","ddLRYrp01A","40aOVDgCDB","QDVgd2eftb"],"dependent_operators":["f6k1SAg4EE","Qy55tPpLXF","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","g55IO6H4Gj","D4vGDi5EA2","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","g55IO6H4Gj","DpFCA1CohY","xUOZtlo3hN","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","NTOWxs364D","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK"],"result":"≴∭⊉255055","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2239","layer":4},{"info":"number node, value=2280","layer":4},{"info":"compute binary expreesion, left_input=2239, right_input=2280, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=3932","layer":3},{"info":"number node, value=7557","layer":4},{"info":"compute unary expreesion, input=7557, op_id = a3N2hFLK0J, unary_op_definition = 'a∴≳≥ = { (⨞⊢a) , if (⋗⩬⋾a)==641 ; (a⨸⪁a) , else }', output=30228","layer":3},{"info":"compute binary expreesion, left_input=3932, right_input=30228, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-11796","layer":2},{"info":"number node, value=5174","layer":4},{"info":"compute unary expreesion, input=5174, op_id = 40aOVDgCDB, unary_op_definition = 'a⊢ = { a , if a<=675 ; (a⩚⊴⇥126) , else }', output=-5421","layer":3},{"info":"number node, value=3916","layer":4},{"info":"number node, value=2265","layer":4},{"info":"compute binary expreesion, left_input=3916, right_input=2265, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-5421, right_input=0, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=36","layer":2},{"info":"compute binary expreesion, left_input=-11796, right_input=36, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=24560","layer":1},{"info":"compute unary expreesion, input=24560, op_id = rFxw8gIMmB, unary_op_definition = 'a⨶ = { ((a⋥≓≎303)⪒(a⋥≓≎537)) }', output=47374","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉6346∇⊂⋱≴∭⊉6435+⪬∐(≴∭⊉31014∴≳≥)⪡(≴∭⊉21041⊢)∊∟⩊≴∭⊉14263⊮⊟↴≴∭⊉6414⨶=≴∭⊉255055","reverse_text":"≴∭⊉255055=≴∭⊉6346∇⊂⋱≴∭⊉6435+⪬∐(≴∭⊉31014∴≳≥)⪡(≴∭⊉21041⊢)∊∟⩊≴∭⊉14263⊮⊟↴≴∭⊉6414⨶","cot":[{"info":"≴∭⊉6346∇⊂⋱≴∭⊉6435=≴∭⊉14315","layer":3},{"info":"≴∭⊉31014∴≳≥=≴∭⊉154062","layer":3},{"info":"≴∭⊉14315+⪬∐≴∭⊉154062=≴∭⊉-46251","layer":2},{"info":"≴∭⊉21041⊢=≴∭⊉-21543","layer":3},{"info":"≴∭⊉14263⊮⊟↴≴∭⊉6414=≴∭⊉0","layer":3},{"info":"≴∭⊉-21543∊∟⩊≴∭⊉0=≴∭⊉51","layer":2},{"info":"≴∭⊉-46251⪡≴∭⊉51=≴∭⊉131414","layer":1},{"info":"≴∭⊉131414⨶=≴∭⊉255055","layer":0}]}
+{"id":435,"expression_no_base_symbol":"($2558$⇴$1547$)⫉⨲⊜$3491$∊∟⩊$2865$∇⊂⋱(($2318$≄⊠$1473$)⪚⩙≫)⇀∌","expression":"(≴∭⊉10313⇴≴∭⊉4340)⫉⨲⊜≴∭⊉13115∊∟⩊≴∭⊉11232∇⊂⋱((≴∭⊉6521≄⊠≴∭⊉4203)⪚⩙≫)⇀∌","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":178,"operation_count":7,"complexity_ratio":25.428571428571427,"tree":{"type":"unary","operator":"⇀∌","unary_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":2558,"base":7},"right_expr":{"type":"numeric_atoms","value":1547,"base":7}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":3491,"base":7},"right_expr":{"type":"numeric_atoms","value":2865,"base":7}}},"right_expr":{"type":"unary","operator":"⪚⩙≫","unary_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":2318,"base":7},"right_expr":{"type":"numeric_atoms","value":1473,"base":7}}}}},"used_operators":["2k53nXOpI5","nhYeJWJD5X","WhqkvtTD3t","4JB6nKBMSY","ddLRYrp01A","4n53wtyJvv","vXNesLlMH1"],"dependent_operators":["Q3PJZHRvZv","ddLRYrp01A","AcOhelriW5","7t3wd0Fuz7","3tVxb0NHM4","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","eewbuw0ToL","zVYPLywUTj","sdazOOVcIp","NTOWxs364D","COABgblf1C","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","Uaa54Peajs","nCS4ZIUYfx","WR6HLWljOP","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2558","layer":4},{"info":"number node, value=1547","layer":4},{"info":"compute binary expreesion, left_input=2558, right_input=1547, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=18056","layer":3},{"info":"number node, value=3491","layer":4},{"info":"number node, value=2865","layer":4},{"info":"compute binary expreesion, left_input=3491, right_input=2865, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=2865","layer":3},{"info":"compute binary expreesion, left_input=18056, right_input=2865, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":2},{"info":"number node, value=2318","layer":4},{"info":"number node, value=1473","layer":4},{"info":"compute binary expreesion, left_input=2318, right_input=1473, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=28236","layer":3},{"info":"compute unary expreesion, input=28236, op_id = 4n53wtyJvv, unary_op_definition = 'a⪚⩙≫ = { ((316↢a)⨳⩥⨓(∂255)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 2k53nXOpI5, unary_op_definition = 'a⇀∌ = { ((a⪎↠(⨣⨃⇪a))⋥⋵⩄(a∊∟⩊(⊥a))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉10313⇴≴∭⊉4340)⫉⨲⊜≴∭⊉13115∊∟⩊≴∭⊉11232∇⊂⋱((≴∭⊉6521≄⊠≴∭⊉4203)⪚⩙≫)⇀∌=NaN","reverse_text":"NaN=(≴∭⊉10313⇴≴∭⊉4340)⫉⨲⊜≴∭⊉13115∊∟⩊≴∭⊉11232∇⊂⋱((≴∭⊉6521≄⊠≴∭⊉4203)⪚⩙≫)⇀∌","cot":[{"info":"≴∭⊉10313⇴≴∭⊉4340=≴∭⊉103433","layer":3},{"info":"≴∭⊉13115∊∟⩊≴∭⊉11232=≴∭⊉11232","layer":3},{"info":"≴∭⊉103433⫉⨲⊜≴∭⊉11232=≴∭⊉0","layer":2},{"info":"≴∭⊉6521≄⊠≴∭⊉4203=≴∭⊉145215","layer":3},{"info":"≴∭⊉145215⪚⩙≫=NaN","layer":2},{"info":"≴∭⊉0∇⊂⋱NaN=NaN","layer":1},{"info":"NaN⇀∌=NaN","layer":0}]}
+{"id":436,"expression_no_base_symbol":"(⋼∭⪍($3363$⇄$1313$))⩷∴($5951$⫦⪉$2125$∷$4243$∠↢$6031$)⩒⫫(($1841$⫰⋱$1330$)⇣⩺⋵($2835$⫡⨏$1125$))⫘(($3968$⨒$1020$)⊋$2021$⩘$2545$)","expression":"(⋼∭⪍(≴∭⊉12543⇄≴∭⊉3554))⩷∴(≴∭⊉23231⫦⪉≴∭⊉6124∷≴∭⊉15241∠↢≴∭⊉23404)⩒⫫((≴∭⊉5240⫰⋱≴∭⊉3610)⇣⩺⋵(≴∭⊉11160⫡⨏≴∭⊉3165))⫘((≴∭⊉14366⨒≴∭⊉2655)⊋≴∭⊉5615⩘≴∭⊉10264)","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":42128,"operation_count":14,"complexity_ratio":3009.1428571428573,"tree":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":3363,"base":7},"right_expr":{"type":"numeric_atoms","value":1313,"base":7}}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":5951,"base":7},"right_expr":{"type":"numeric_atoms","value":2125,"base":7}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":4243,"base":7},"right_expr":{"type":"numeric_atoms","value":6031,"base":7}}}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":1841,"base":7},"right_expr":{"type":"numeric_atoms","value":1330,"base":7}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2835,"base":7},"right_expr":{"type":"numeric_atoms","value":1125,"base":7}}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":3968,"base":7},"right_expr":{"type":"numeric_atoms","value":1020,"base":7}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":2021,"base":7},"right_expr":{"type":"numeric_atoms","value":2545,"base":7}}}}},"used_operators":["KFSx94NKJn","9FxExcQeMw","DbCuESL50I","3EYGwJThht","D3AQDKkPcf","wscyQdcy20","KbjG8mgYpV","48vC8HMD2b","F4yD0voBRQ","6o9Blt3TJ6","QMFrweE19q","W4tP9CfskL","y75s1iXyHd","cHh1gJQ2o6"],"dependent_operators":["NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","rysDP5nf3Z","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","9FxExcQeMw","NTOWxs364D","7j4O788W3g","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","W4YGzv6Whe","t8gj7n24qd","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o"],"result":"≴∭⊉316","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3363","layer":4},{"info":"number node, value=1313","layer":4},{"info":"compute binary expreesion, left_input=3363, right_input=1313, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=946","layer":2},{"info":"number node, value=5951","layer":4},{"info":"number node, value=2125","layer":4},{"info":"compute binary expreesion, left_input=5951, right_input=2125, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-7002","layer":3},{"info":"number node, value=4243","layer":4},{"info":"number node, value=6031","layer":4},{"info":"compute binary expreesion, left_input=4243, right_input=6031, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-100324","layer":3},{"info":"compute binary expreesion, left_input=-7002, right_input=-100324, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=6208","layer":2},{"info":"compute binary expreesion, left_input=946, right_input=6208, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-10556","layer":1},{"info":"number node, value=1841","layer":4},{"info":"number node, value=1330","layer":4},{"info":"compute binary expreesion, left_input=1841, right_input=1330, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-1808","layer":3},{"info":"number node, value=2835","layer":4},{"info":"number node, value=1125","layer":4},{"info":"compute binary expreesion, left_input=2835, right_input=1125, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=17208","layer":3},{"info":"compute binary expreesion, left_input=-1808, right_input=17208, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-41586","layer":2},{"info":"number node, value=3968","layer":4},{"info":"number node, value=1020","layer":4},{"info":"compute binary expreesion, left_input=3968, right_input=1020, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-23436","layer":3},{"info":"number node, value=2021","layer":4},{"info":"number node, value=2545","layer":4},{"info":"compute binary expreesion, left_input=2021, right_input=2545, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-23436, right_input=160, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=-2254","layer":2},{"info":"compute binary expreesion, left_input=-41586, right_input=-2254, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=183383999","layer":1},{"info":"compute binary expreesion, left_input=-10556, right_input=183383999, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=160","layer":0}],"base":7,"result_base":7,"text":"(⋼∭⪍(≴∭⊉12543⇄≴∭⊉3554))⩷∴(≴∭⊉23231⫦⪉≴∭⊉6124∷≴∭⊉15241∠↢≴∭⊉23404)⩒⫫((≴∭⊉5240⫰⋱≴∭⊉3610)⇣⩺⋵(≴∭⊉11160⫡⨏≴∭⊉3165))⫘((≴∭⊉14366⨒≴∭⊉2655)⊋≴∭⊉5615⩘≴∭⊉10264)=≴∭⊉316","reverse_text":"≴∭⊉316=(⋼∭⪍(≴∭⊉12543⇄≴∭⊉3554))⩷∴(≴∭⊉23231⫦⪉≴∭⊉6124∷≴∭⊉15241∠↢≴∭⊉23404)⩒⫫((≴∭⊉5240⫰⋱≴∭⊉3610)⇣⩺⋵(≴∭⊉11160⫡⨏≴∭⊉3165))⫘((≴∭⊉14366⨒≴∭⊉2655)⊋≴∭⊉5615⩘≴∭⊉10264)","cot":[{"info":"≴∭⊉12543⇄≴∭⊉3554=≴∭⊉0","layer":3},{"info":"⋼∭⪍≴∭⊉0=≴∭⊉2521","layer":2},{"info":"≴∭⊉23231⫦⪉≴∭⊉6124=≴∭⊉-26262","layer":3},{"info":"≴∭⊉15241∠↢≴∭⊉23404=≴∭⊉-565330","layer":3},{"info":"≴∭⊉-26262∷≴∭⊉-565330=≴∭⊉24046","layer":2},{"info":"≴∭⊉2521⩷∴≴∭⊉24046=≴∭⊉-42530","layer":1},{"info":"≴∭⊉5240⫰⋱≴∭⊉3610=≴∭⊉-5162","layer":3},{"info":"≴∭⊉11160⫡⨏≴∭⊉3165=≴∭⊉101112","layer":3},{"info":"≴∭⊉-5162⇣⩺⋵≴∭⊉101112=≴∭⊉-232146","layer":2},{"info":"≴∭⊉14366⨒≴∭⊉2655=≴∭⊉-125220","layer":3},{"info":"≴∭⊉5615⩘≴∭⊉10264=≴∭⊉316","layer":3},{"info":"≴∭⊉-125220⊋≴∭⊉316=≴∭⊉-6400","layer":2},{"info":"≴∭⊉-232146⫘≴∭⊉-6400=≴∭⊉4354511141","layer":1},{"info":"≴∭⊉-42530⩒⫫≴∭⊉4354511141=≴∭⊉316","layer":0}]}
+{"id":437,"expression_no_base_symbol":"((≘($2921$⩺⪪$1058$))≀⩗∶($6228$≎⊠⪸$7184$)⪡$5740$⪎↠$8301$)⊵↤","expression":"((≘(≴∭⊉11342⩺⪪≴∭⊉3041))≀⩗∶(≴∭⊉24105≎⊠⪸≴∭⊉26642)⪡≴∭⊉22510⪎↠≴∭⊉33126)⊵↤","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":664,"operation_count":7,"complexity_ratio":94.85714285714286,"tree":{"type":"unary","operator":"⊵↤","unary_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":2921,"base":7},"right_expr":{"type":"numeric_atoms","value":1058,"base":7}}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":6228,"base":7},"right_expr":{"type":"numeric_atoms","value":7184,"base":7}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":5740,"base":7},"right_expr":{"type":"numeric_atoms","value":8301,"base":7}}}}},"used_operators":["7IPrd9c3lf","8INZBEW696","tcjXMdvYtA","uvdQJvN4PV","oraRL2iQuh","bJkvcejdHO","3tVxb0NHM4"],"dependent_operators":["eLAdDNolq6","W4YGzv6Whe","9FxExcQeMw","Qy55tPpLXF","BjRHVeLaeN","tifHPKVTfV","2DDjHMKMc0","f6k1SAg4EE","Z2TMIBDE3Q","eewbuw0ToL","QMFrweE19q","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM"],"result":"≴∭⊉-101","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2921","layer":4},{"info":"number node, value=1058","layer":4},{"info":"compute binary expreesion, left_input=2921, right_input=1058, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-30706","layer":3},{"info":"compute unary expreesion, input=-30706, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=18054866","layer":2},{"info":"number node, value=6228","layer":4},{"info":"number node, value=7184","layer":4},{"info":"compute binary expreesion, left_input=6228, right_input=7184, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1612579","layer":3},{"info":"number node, value=5740","layer":4},{"info":"number node, value=8301","layer":4},{"info":"compute binary expreesion, left_input=5740, right_input=8301, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=1612579, right_input=160, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":2},{"info":"compute binary expreesion, left_input=18054866, right_input=107, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = 7IPrd9c3lf, unary_op_definition = 'a⊵↤ = { (((a⪒a)+a)⇼⇔∾((a⫡⨏a)⩤)) , if (a!=425 and (≤/a)>523) ; (((a⫩⊇)⨰(a⋥≓≎a))⋥≓≎((a⩷∴a)⋝⋈⪟(a⩷∴a))) , else }', output=-50","layer":0}],"base":7,"result_base":7,"text":"((≘(≴∭⊉11342⩺⪪≴∭⊉3041))≀⩗∶(≴∭⊉24105≎⊠⪸≴∭⊉26642)⪡≴∭⊉22510⪎↠≴∭⊉33126)⊵↤=≴∭⊉-101","reverse_text":"≴∭⊉-101=((≘(≴∭⊉11342⩺⪪≴∭⊉3041))≀⩗∶(≴∭⊉24105≎⊠⪸≴∭⊉26642)⪡≴∭⊉22510⪎↠≴∭⊉33126)⊵↤","cot":[{"info":"≴∭⊉11342⩺⪪≴∭⊉3041=≴∭⊉-155344","layer":3},{"info":"≘≴∭⊉-155344=≴∭⊉306315044","layer":2},{"info":"≴∭⊉24105≎⊠⪸≴∭⊉26642=≴∭⊉16464253","layer":3},{"info":"≴∭⊉22510⪎↠≴∭⊉33126=≴∭⊉316","layer":3},{"info":"≴∭⊉16464253⪡≴∭⊉316=≴∭⊉212","layer":2},{"info":"≴∭⊉306315044≀⩗∶≴∭⊉212=≴∭⊉0","layer":1},{"info":"≴∭⊉0⊵↤=≴∭⊉-101","layer":0}]}
+{"id":438,"expression_no_base_symbol":"($6785$⫒⫫$6267$⊓⋫)⩖⊿(≱⇩⩕($1042$≝⊰⇂))⪃↞⩐","expression":"(≴∭⊉25532⫒⫫≴∭⊉24162⊓⋫)⩖⊿(≱⇩⩕(≴∭⊉3016≝⊰⇂))⪃↞⩐","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1521,"operation_count":6,"complexity_ratio":253.5,"tree":{"type":"unary","operator":"⪃↞⩐","unary_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"unary","operator":"⊓⋫","unary_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":6785,"base":7},"right_expr":{"type":"numeric_atoms","value":6267,"base":7}}},"right_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"unary","operator":"≝⊰⇂","unary_expr":{"type":"numeric_atoms","value":1042,"base":7}}}}},"used_operators":["grXIztHqDa","RZ5CV9rWsJ","IqGBaFP0uj","6Ko8hGgeMq","3DZMoQKiUl","htSmYCowi5"],"dependent_operators":["IwW236VD4Y","bF6eod5Gvf","l07mrZUIn9","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","2td37pGCOC","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","nCS4ZIUYfx","QMFrweE19q","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","9FxExcQeMw","DlLNRPXxWL"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6785","layer":4},{"info":"number node, value=6267","layer":4},{"info":"compute binary expreesion, left_input=6785, right_input=6267, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = IqGBaFP0uj, unary_op_definition = 'a⊓⋫ = { (((a⪨≂a)⨳⩥⨓(⩦⩻⨪230))⪒(a⋝⋈⪟(542⫡⨏384))) }', output=nan","layer":2},{"info":"number node, value=1042","layer":4},{"info":"compute unary expreesion, input=1042, op_id = htSmYCowi5, unary_op_definition = 'a≝⊰⇂ = { (a⩷∴51) , if a<491 ; (⫛⫱⨽a) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=113, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = grXIztHqDa, unary_op_definition = 'a⪃↞⩐ = { ((a→⨶⪴a)≠≀(a↪⪝)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉25532⫒⫫≴∭⊉24162⊓⋫)⩖⊿(≱⇩⩕(≴∭⊉3016≝⊰⇂))⪃↞⩐=NaN","reverse_text":"NaN=(≴∭⊉25532⫒⫫≴∭⊉24162⊓⋫)⩖⊿(≱⇩⩕(≴∭⊉3016≝⊰⇂))⪃↞⩐","cot":[{"info":"≴∭⊉25532⫒⫫≴∭⊉24162=NaN","layer":3},{"info":"NaN⊓⋫=NaN","layer":2},{"info":"≴∭⊉3016≝⊰⇂=≴∭⊉0","layer":3},{"info":"≱⇩⩕≴∭⊉0=≴∭⊉221","layer":2},{"info":"NaN⩖⊿≴∭⊉221=NaN","layer":1},{"info":"NaN⪃↞⩐=NaN","layer":0}]}
+{"id":439,"expression_no_base_symbol":"($1567$⇡)⇍⊗$2796$⪃⊛⇣$2628$/($3461$⫳≱↱$3411$)⨜⨶($1516$⩣⫁∢$3998$)∕⩚(⫛⫱⨽(($1357$⋆⋳)≚⊃≕($2358$⇮⋭$1699$)))","expression":"(≴∭⊉4366⇡)⇍⊗≴∭⊉11103⪃⊛⇣≴∭⊉10443/(≴∭⊉13043⫳≱↱≴∭⊉12642)⨜⨶(≴∭⊉4264⩣⫁∢≴∭⊉14441)∕⩚(⫛⫱⨽((≴∭⊉3646⋆⋳)≚⊃≕(≴∭⊉6606⇮⋭≴∭⊉4645)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2552,"operation_count":12,"complexity_ratio":212.66666666666666,"tree":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"unary","operator":"⇡","unary_expr":{"type":"numeric_atoms","value":1567,"base":7}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":2796,"base":7},"right_expr":{"type":"numeric_atoms","value":2628,"base":7}}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":3461,"base":7},"right_expr":{"type":"numeric_atoms","value":3411,"base":7}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":1516,"base":7},"right_expr":{"type":"numeric_atoms","value":3998,"base":7}}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"unary","operator":"⋆⋳","unary_expr":{"type":"numeric_atoms","value":1357,"base":7}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":2358,"base":7},"right_expr":{"type":"numeric_atoms","value":1699,"base":7}}}}},"used_operators":["z9ffQ9n5Zr","XhwjNDsVaA","5uvYHDjeKN","UqFzSgLMvQ","rrgAzCduG9","HiPekx5b7W","ZvLB05nZmT","JDUIKTTSIa","DlLNRPXxWL","Bmrmz2XGnR","6MpZysEj17","vkpjKywKVM"],"dependent_operators":["3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","rysDP5nf3Z","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","3sJ7IOPOlU","sJAwomhLZr","4JB6nKBMSY","k2HlF1dBQh","BiWNJpBvwn","YSKBFp38Pu","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","rGHVDoGpnC","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","9FxExcQeMw","7j4O788W3g","DIvbN7qnHd","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW"],"result":"≴∭⊉-1264","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1567","layer":4},{"info":"compute unary expreesion, input=1567, op_id = UqFzSgLMvQ, unary_op_definition = 'a⇡ = { (((a⇴a)⪇≇⋚(∤27))⇤((a⩍⋽⫝̸27)⩠)) }', output=-2917","layer":3},{"info":"number node, value=2796","layer":4},{"info":"number node, value=2628","layer":4},{"info":"compute binary expreesion, left_input=2796, right_input=2628, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=-2917, right_input=1234, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":2},{"info":"number node, value=3461","layer":4},{"info":"number node, value=3411","layer":4},{"info":"compute binary expreesion, left_input=3461, right_input=3411, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"number node, value=1516","layer":4},{"info":"number node, value=3998","layer":4},{"info":"compute binary expreesion, left_input=1516, right_input=3998, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-2871","layer":3},{"info":"compute binary expreesion, left_input=-204, right_input=-2871, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-18483","layer":2},{"info":"compute binary expreesion, left_input=-244, right_input=-18483, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":1},{"info":"number node, value=1357","layer":4},{"info":"compute unary expreesion, input=1357, op_id = 6MpZysEj17, unary_op_definition = 'a⋆⋳ = { ((a⊠≄⫣)⩷∴(a↺a)) }', output=-2746","layer":3},{"info":"number node, value=2358","layer":4},{"info":"number node, value=1699","layer":4},{"info":"compute binary expreesion, left_input=2358, right_input=1699, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute binary expreesion, left_input=-2746, right_input=-473, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=-12096","layer":2},{"info":"compute unary expreesion, input=-12096, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉4366⇡)⇍⊗≴∭⊉11103⪃⊛⇣≴∭⊉10443/(≴∭⊉13043⫳≱↱≴∭⊉12642)⨜⨶(≴∭⊉4264⩣⫁∢≴∭⊉14441)∕⩚(⫛⫱⨽((≴∭⊉3646⋆⋳)≚⊃≕(≴∭⊉6606⇮⋭≴∭⊉4645)))=≴∭⊉-1264","reverse_text":"≴∭⊉-1264=(≴∭⊉4366⇡)⇍⊗≴∭⊉11103⪃⊛⇣≴∭⊉10443/(≴∭⊉13043⫳≱↱≴∭⊉12642)⨜⨶(≴∭⊉4264⩣⫁∢≴∭⊉14441)∕⩚(⫛⫱⨽((≴∭⊉3646⋆⋳)≚⊃≕(≴∭⊉6606⇮⋭≴∭⊉4645)))","cot":[{"info":"≴∭⊉4366⇡=≴∭⊉-11335","layer":3},{"info":"≴∭⊉11103⪃⊛⇣≴∭⊉10443=≴∭⊉3412","layer":3},{"info":"≴∭⊉-11335⇍⊗≴∭⊉3412=≴∭⊉-466","layer":2},{"info":"≴∭⊉13043⫳≱↱≴∭⊉12642=≴∭⊉-411","layer":3},{"info":"≴∭⊉4264⩣⫁∢≴∭⊉14441=≴∭⊉-11241","layer":3},{"info":"≴∭⊉-411⨜⨶≴∭⊉-11241=≴∭⊉-104613","layer":2},{"info":"≴∭⊉-466/≴∭⊉-104613=≴∭⊉0","layer":1},{"info":"≴∭⊉3646⋆⋳=≴∭⊉-11002","layer":3},{"info":"≴∭⊉6606⇮⋭≴∭⊉4645=≴∭⊉-1244","layer":3},{"info":"≴∭⊉-11002≚⊃≕≴∭⊉-1244=≴∭⊉-50160","layer":2},{"info":"⫛⫱⨽≴∭⊉-50160=≴∭⊉0","layer":1},{"info":"≴∭⊉0∕⩚≴∭⊉0=≴∭⊉-1264","layer":0}]}
+{"id":440,"expression_no_base_symbol":"(($1980$∋$1379$⋥≓≎$5234$⪚$2093$)⩘⨬⇊)⪄(∤$1018$⪒⊣⊆$1771$⋳⪒$6631$⊬⨰$5171$)","expression":"((≴∭⊉5526∋≴∭⊉4010⋥≓≎≴∭⊉21155⪚≴∭⊉6050)⩘⨬⇊)⪄(∤≴∭⊉2653⪒⊣⊆≴∭⊉5110⋳⪒≴∭⊉25222⊬⨰≴∭⊉21035)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1430531,"operation_count":9,"complexity_ratio":158947.88888888888,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⩘⨬⇊","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":1980,"base":7},"right_expr":{"type":"numeric_atoms","value":1379,"base":7}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":5234,"base":7},"right_expr":{"type":"numeric_atoms","value":2093,"base":7}}}},"right_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":1018,"base":7},"right_expr":{"type":"numeric_atoms","value":1771,"base":7}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":6631,"base":7},"right_expr":{"type":"numeric_atoms","value":5171,"base":7}}}}},"used_operators":["SUmda5xLS4","XXmTpEpWTW","Qy55tPpLXF","ukq6epAj5P","HrjLwUk87U","k2HlF1dBQh","12rbrZMWeM","eRqsBgTDFp","s3Fd5m9Dh2"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rxpJgHHUmx","HnzytWxmAO","8cLx32lpNA","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","W4YGzv6Whe","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx"],"result":"≴∭⊉14413","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1980","layer":4},{"info":"number node, value=1379","layer":4},{"info":"compute binary expreesion, left_input=1980, right_input=1379, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=2906576","layer":3},{"info":"number node, value=5234","layer":4},{"info":"number node, value=2093","layer":4},{"info":"compute binary expreesion, left_input=5234, right_input=2093, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=5926","layer":3},{"info":"compute binary expreesion, left_input=2906576, right_input=5926, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-2894691","layer":2},{"info":"compute unary expreesion, input=-2894691, op_id = XXmTpEpWTW, unary_op_definition = 'a⩘⨬⇊ = { ((a⇴∐a)∌(a≭31)) }', output=-116","layer":1},{"info":"number node, value=1018","layer":4},{"info":"number node, value=1771","layer":4},{"info":"compute binary expreesion, left_input=1018, right_input=1771, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=2036","layer":3},{"info":"number node, value=6631","layer":4},{"info":"number node, value=5171","layer":4},{"info":"compute binary expreesion, left_input=6631, right_input=5171, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=26259","layer":3},{"info":"compute binary expreesion, left_input=2036, right_input=26259, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-22474","layer":2},{"info":"compute unary expreesion, input=-22474, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":1},{"info":"compute binary expreesion, left_input=-116, right_input=9, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉5526∋≴∭⊉4010⋥≓≎≴∭⊉21155⪚≴∭⊉6050)⩘⨬⇊)⪄(∤≴∭⊉2653⪒⊣⊆≴∭⊉5110⋳⪒≴∭⊉25222⊬⨰≴∭⊉21035)=≴∭⊉14413","reverse_text":"≴∭⊉14413=((≴∭⊉5526∋≴∭⊉4010⋥≓≎≴∭⊉21155⪚≴∭⊉6050)⩘⨬⇊)⪄(∤≴∭⊉2653⪒⊣⊆≴∭⊉5110⋳⪒≴∭⊉25222⊬⨰≴∭⊉21035)","cot":[{"info":"≴∭⊉5526∋≴∭⊉4010=≴∭⊉33463661","layer":3},{"info":"≴∭⊉21155⪚≴∭⊉6050=≴∭⊉23164","layer":3},{"info":"≴∭⊉33463661⋥≓≎≴∭⊉23164=≴∭⊉-33414222","layer":2},{"info":"≴∭⊉-33414222⩘⨬⇊=≴∭⊉-224","layer":1},{"info":"≴∭⊉2653⪒⊣⊆≴∭⊉5110=≴∭⊉5636","layer":3},{"info":"≴∭⊉25222⊬⨰≴∭⊉21035=≴∭⊉136362","layer":3},{"info":"≴∭⊉5636⋳⪒≴∭⊉136362=≴∭⊉-122344","layer":2},{"info":"∤≴∭⊉-122344=≴∭⊉12","layer":1},{"info":"≴∭⊉-224⪄≴∭⊉12=≴∭⊉14413","layer":0}]}
+{"id":441,"expression_no_base_symbol":"(($5089$↱$2251$)⩁⩘($7235$⊟⇱))⫘(≤/$1190$)⫁⪎(⪲⇎$3472$)⊵↤","expression":"((≴∭⊉20560↱≴∭⊉6364)⩁⩘(≴∭⊉30044⊟⇱))���(≤/≴∭⊉3320)⫁⪎(⪲⇎≴∭⊉13060)⊵↤","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":60426,"operation_count":8,"complexity_ratio":7553.25,"tree":{"type":"unary","operator":"⊵↤","unary_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":5089,"base":7},"right_expr":{"type":"numeric_atoms","value":2251,"base":7}},"right_expr":{"type":"unary","operator":"⊟⇱","unary_expr":{"type":"numeric_atoms","value":7235,"base":7}}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1190,"base":7}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":3472,"base":7}}}}},"used_operators":["7IPrd9c3lf","48vC8HMD2b","gub5Cegaqo","SR5kFfdi6N","03sUfWo75k","xRrnTEsQ6j","eLAdDNolq6","XPYlsWDdGa"],"dependent_operators":["eLAdDNolq6","W4YGzv6Whe","9FxExcQeMw","Qy55tPpLXF","BjRHVeLaeN","tifHPKVTfV","2DDjHMKMc0","f6k1SAg4EE","Z2TMIBDE3Q","eewbuw0ToL","QMFrweE19q","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","DpFCA1CohY","IWmyXbctLI","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","IWmyXbctLI","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"≴∭⊉124","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5089","layer":4},{"info":"number node, value=2251","layer":4},{"info":"compute binary expreesion, left_input=5089, right_input=2251, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-6231","layer":3},{"info":"number node, value=7235","layer":4},{"info":"compute unary expreesion, input=7235, op_id = 03sUfWo75k, unary_op_definition = 'a⊟⇱ = { (a⪮%⊝a) }', output=14786","layer":3},{"info":"compute binary expreesion, left_input=-6231, right_input=14786, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=60092","layer":2},{"info":"number node, value=1190","layer":4},{"info":"compute unary expreesion, input=1190, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-706","layer":3},{"info":"number node, value=3472","layer":4},{"info":"compute unary expreesion, input=3472, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=6944","layer":3},{"info":"compute binary expreesion, left_input=-706, right_input=6944, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-7650","layer":2},{"info":"compute binary expreesion, left_input=60092, right_input=-7650, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=70672597","layer":1},{"info":"compute unary expreesion, input=70672597, op_id = 7IPrd9c3lf, unary_op_definition = 'a⊵↤ = { (((a⪒a)+a)⇼⇔∾((a⫡⨏a)⩤)) , if (a!=425 and (≤/a)>523) ; (((a⫩⊇)⨰(a⋥≓≎a))⋥≓≎((a⩷∴a)⋝⋈⪟(a⩷∴a))) , else }', output=67","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉20560↱≴∭⊉6364)⩁⩘(≴∭⊉30044⊟⇱))⫘(≤/≴∭⊉3320)⫁⪎(⪲⇎≴∭⊉13060)⊵↤=≴∭⊉124","reverse_text":"≴∭⊉124=((≴∭⊉20560↱≴∭⊉6364)⩁⩘(≴∭⊉30044⊟⇱))⫘(≤/≴∭⊉3320)⫁⪎(⪲⇎≴∭⊉13060)⊵↤","cot":[{"info":"≴∭⊉20560↱≴∭⊉6364=≴∭⊉-24111","layer":3},{"info":"≴∭⊉30044⊟⇱=≴∭⊉61052","layer":3},{"info":"≴∭⊉-24111⩁⩘≴∭⊉61052=≴∭⊉340124","layer":2},{"info":"≤/≴∭⊉3320=≴∭⊉-2026","layer":3},{"info":"⪲⇎≴∭⊉13060=≴∭⊉26150","layer":3},{"info":"≴∭⊉-2026⫁⪎≴∭⊉26150=≴∭⊉-31206","layer":2},{"info":"≴∭⊉340124⫘≴∭⊉-31206=≴∭⊉1515464362","layer":1},{"info":"≴∭⊉1515464362⊵↤=≴∭⊉124","layer":0}]}
+{"id":442,"expression_no_base_symbol":"(($6168$⪎↠$6016$⊭∹↮)∽(≑⋹$1545$)⪢($5484$⊘))⊭∹↮","expression":"((≴∭⊉23661⪎↠≴∭⊉23353⊭∹↮)∽(≑⋹≴∭⊉4335)⪢(≴∭⊉21663⊘))⊭∹↮","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":148,"operation_count":7,"complexity_ratio":21.142857142857142,"tree":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"∽","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":6168,"base":7},"right_expr":{"type":"numeric_atoms","value":6016,"base":7}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"numeric_atoms","value":1545,"base":7}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":5484,"base":7}}}}},"used_operators":["xNBdhnnwKq","y4ImoPnbV5","3tVxb0NHM4","dWAJyo7jo9","6B9nyZLogK","gu96TGCTMs"],"dependent_operators":["2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","NTOWxs364D","QMFrweE19q","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","k8jYdgA6NY","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D"],"result":"≴∭⊉-1546","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6168","layer":4},{"info":"number node, value=6016","layer":4},{"info":"compute binary expreesion, left_input=6168, right_input=6016, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=160","layer":2},{"info":"number node, value=1545","layer":4},{"info":"compute unary expreesion, input=1545, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=1650","layer":3},{"info":"number node, value=5484","layer":4},{"info":"compute unary expreesion, input=5484, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1650, right_input=0, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=0","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=0, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-622","layer":1},{"info":"compute unary expreesion, input=-622, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=-622","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉23661⪎↠≴∭⊉23353⊭∹↮)∽(≑⋹≴∭⊉4335)⪢(≴∭⊉21663⊘))⊭∹↮=≴∭⊉-1546","reverse_text":"≴∭⊉-1546=((≴∭⊉23661⪎↠≴∭⊉23353⊭∹↮)∽(≑⋹≴∭⊉4335)⪢(≴∭⊉21663⊘))⊭∹↮","cot":[{"info":"≴∭⊉23661⪎↠≴∭⊉23353=≴∭⊉316","layer":3},{"info":"≴∭⊉316⊭∹↮=≴∭⊉316","layer":2},{"info":"≑⋹≴∭⊉4335=≴∭⊉4545","layer":3},{"info":"≴∭⊉21663⊘=≴∭⊉0","layer":3},{"info":"≴∭⊉4545⪢≴∭⊉0=≴∭⊉0","layer":2},{"info":"≴∭⊉316∽≴∭⊉0=≴∭⊉-1546","layer":1},{"info":"≴∭⊉-1546⊭∹↮=≴∭⊉-1546","layer":0}]}
+{"id":443,"expression_no_base_symbol":"((⇈$1627$)⫁($1741$≃$1910$)≥⨤⩑(⊗($1098$⊍⩺⋍$3246$)))⨽∌((↴⪽⋼$2080$⇍⊗$2372$)⇋≉)","expression":"((⇈≴∭⊉4513)⫁(≴∭⊉5035≃≴∭⊉5366)≥⨤⩑(⊗(≴∭⊉3126⊍⩺⋍≴∭⊉12315)))⨽∌((↴⪽⋼≴∭⊉6031⇍⊗≴∭⊉6626)⇋≉)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":22597,"operation_count":10,"complexity_ratio":2259.7,"tree":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"numeric_atoms","value":1627,"base":7}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":1741,"base":7},"right_expr":{"type":"numeric_atoms","value":1910,"base":7}}},"right_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":1098,"base":7},"right_expr":{"type":"numeric_atoms","value":3246,"base":7}}}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":2080,"base":7},"right_expr":{"type":"numeric_atoms","value":2372,"base":7}}}}},"used_operators":["9samAPKr6k","gJLn6v0xnP","0ajvFaJAv0","SLLxy00UIr","YbVcJGFEVW","RhiyfpczSx","OXDGMFPWZM","XIabStNQrY","5TUYCnJO6w","5uvYHDjeKN"],"dependent_operators":["YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","cHh1gJQ2o6","AHs5Up7iyr","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","rysDP5nf3Z","t8gj7n24qd","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1627","layer":4},{"info":"compute unary expreesion, input=1627, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":3},{"info":"number node, value=1741","layer":4},{"info":"number node, value=1910","layer":4},{"info":"compute binary expreesion, left_input=1741, right_input=1910, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-7004","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=-7004, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":2},{"info":"number node, value=1098","layer":4},{"info":"number node, value=3246","layer":4},{"info":"compute binary expreesion, left_input=1098, right_input=3246, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":1},{"info":"number node, value=2080","layer":4},{"info":"number node, value=2372","layer":4},{"info":"compute binary expreesion, left_input=2080, right_input=2372, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"compute unary expreesion, input=-244, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=35822","layer":2},{"info":"compute unary expreesion, input=35822, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=71546","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=71546, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":0}],"base":7,"result_base":7,"text":"((⇈≴∭⊉4513)⫁(≴∭⊉5035≃≴∭⊉5366)≥⨤⩑(⊗(≴∭⊉3126⊍⩺⋍≴∭⊉12315)))⨽∌((↴⪽⋼≴∭⊉6031⇍⊗≴∭⊉6626)⇋≉)=≴∭⊉0","reverse_text":"≴∭⊉0=((⇈≴∭⊉4513)⫁(≴∭⊉5035≃≴∭⊉5366)≥⨤⩑(⊗(≴∭⊉3126⊍⩺⋍≴∭⊉12315)))⨽∌((↴⪽⋼≴∭⊉6031⇍⊗≴∭⊉6626)⇋≉)","cot":[{"info":"⇈≴∭⊉4513=≴∭⊉-1206","layer":3},{"info":"≴∭⊉5035≃≴∭⊉5366=≴∭⊉-26264","layer":3},{"info":"≴∭⊉-1206⫁≴∭⊉-26264=≴∭⊉316","layer":2},{"info":"≴∭⊉3126⊍⩺⋍≴∭⊉12315=NaN","layer":3},{"info":"⊗NaN=NaN","layer":2},{"info":"≴∭⊉316≥⨤⩑NaN=≴∭⊉3412","layer":1},{"info":"≴∭⊉6031⇍⊗≴∭⊉6626=≴∭⊉-466","layer":3},{"info":"↴⪽⋼≴∭⊉-466=≴∭⊉206303","layer":2},{"info":"≴∭⊉206303⇋≉=≴∭⊉415406","layer":1},{"info":"≴∭⊉3412⨽∌≴∭⊉415406=≴∭⊉0","layer":0}]}
+{"id":444,"expression_no_base_symbol":"(⋗⩬⋾(⊖∈$2103$⨜⨶$1599$))∷(⫓⪴$1690$)⨑⩅≇($1770$∠⫱$6460$)⪟⇏((⪓⩚$1151$)⇣⩺⋵$1482$⪎↠$1253$)","expression":"(⋗⩬⋾(⊖∈≴∭⊉6063⨜⨶≴∭⊉4443))∷(⫓⪴≴∭⊉4633)⨑⩅≇(≴∭⊉5106∠⫱≴∭⊉24556)⪟⇏((⪓⩚≴∭⊉3233)⇣⩺⋵≴∭⊉4215⪎↠≴∭⊉3440)","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":15363,"operation_count":11,"complexity_ratio":1396.6363636363637,"tree":{"type":"binary","operator":"∷","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":2103,"base":7},"right_expr":{"type":"numeric_atoms","value":1599,"base":7}}}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1690,"base":7}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":1770,"base":7},"right_expr":{"type":"numeric_atoms","value":6460,"base":7}}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"numeric_atoms","value":1151,"base":7}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":1482,"base":7},"right_expr":{"type":"numeric_atoms","value":1253,"base":7}}}}},"used_operators":["D3AQDKkPcf","DpFCA1CohY","YFxL8Sc2Zy","HiPekx5b7W","GODebY97qR","h92wMvzauj","eLxqMNBOBk","QvoQhV0rrE","F4yD0voBRQ","u0R0Locfp2","3tVxb0NHM4"],"dependent_operators":["9FxExcQeMw","NTOWxs364D","7j4O788W3g","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","9HNa5Wba9A","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM"],"result":"≴∭⊉15625640056","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2103","layer":4},{"info":"number node, value=1599","layer":4},{"info":"compute binary expreesion, left_input=2103, right_input=1599, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-2942","layer":3},{"info":"compute unary expreesion, input=-2942, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=173726234","layer":2},{"info":"compute unary expreesion, input=173726234, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-521178702","layer":1},{"info":"number node, value=1690","layer":4},{"info":"compute unary expreesion, input=1690, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=2856100","layer":3},{"info":"number node, value=1770","layer":4},{"info":"number node, value=6460","layer":4},{"info":"compute binary expreesion, left_input=1770, right_input=6460, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=2856100, right_input=1234, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-8568300","layer":2},{"info":"number node, value=1151","layer":4},{"info":"compute unary expreesion, input=1151, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":3},{"info":"number node, value=1482","layer":4},{"info":"number node, value=1253","layer":4},{"info":"compute binary expreesion, left_input=1482, right_input=1253, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=426, right_input=160, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":2},{"info":"compute binary expreesion, left_input=-8568300, right_input=-260, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-521178702, right_input=0, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=521177908","layer":0}],"base":7,"result_base":7,"text":"(⋗⩬⋾(⊖∈≴∭⊉6063⨜⨶≴∭⊉4443))∷(⫓⪴≴∭⊉4633)⨑⩅≇(≴∭⊉5106∠⫱≴∭⊉24556)⪟⇏((⪓⩚≴∭⊉3233)⇣⩺⋵≴∭⊉4215⪎↠≴∭⊉3440)=≴∭⊉15625640056","reverse_text":"≴∭⊉15625640056=(⋗⩬⋾(⊖∈≴∭⊉6063⨜⨶≴∭⊉4443))∷(⫓⪴≴∭⊉4633)⨑⩅≇(≴∭⊉5106∠⫱≴∭⊉24556)⪟⇏((⪓⩚≴∭⊉3233)⇣⩺⋵≴∭⊉4215⪎↠≴∭⊉3440)","cot":[{"info":"≴∭⊉6063⨜⨶≴∭⊉4443=≴∭⊉-11402","layer":3},{"info":"⊖∈≴∭⊉-11402=≴∭⊉4206435323","layer":2},{"info":"⋗⩬⋾≴∭⊉4206435323=≴∭⊉-15625642302","layer":1},{"info":"⫓⪴≴∭⊉4633=≴∭⊉33163552","layer":3},{"info":"≴∭⊉5106∠⫱≴∭⊉24556=≴∭⊉3412","layer":3},{"info":"≴∭⊉33163552⨑⩅≇≴∭⊉3412=≴∭⊉-132554316","layer":2},{"info":"⪓⩚≴∭⊉3233=≴∭⊉1146","layer":3},{"info":"≴∭⊉4215⪎↠≴∭⊉3440=≴∭⊉316","layer":3},{"info":"≴∭⊉1146⇣⩺⋵≴∭⊉316=≴∭⊉-521","layer":2},{"info":"≴∭⊉-132554316⪟⇏≴∭⊉-521=≴∭⊉0","layer":1},{"info":"≴∭⊉-15625642302∷≴∭⊉0=≴∭⊉15625640056","layer":0}]}
+{"id":445,"expression_no_base_symbol":"($2146$↳≱$3330$⊱⇼⊻(⇋↷$1014$)⩨(≸≮($2647$⊉↱≁$3201$)))⫉⨲⊜(⇜($2468$∁)⩦($3474$⫰⋱$1654$))","expression":"(≴∭⊉6154↳≱≴∭⊉12465⊱⇼⊻(⇋↷≴∭⊉2646)⩨(≸≮(≴∭⊉10501⊉↱≁≴∭⊉12222)))⫉⨲⊜(⇜(≴∭⊉10124∁)⩦(≴∭⊉13062⫰⋱≴∭⊉4552))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":10510,"operation_count":11,"complexity_ratio":955.4545454545455,"tree":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":2146,"base":7},"right_expr":{"type":"numeric_atoms","value":3330,"base":7}},"right_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"numeric_atoms","value":1014,"base":7}}},"right_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":2647,"base":7},"right_expr":{"type":"numeric_atoms","value":3201,"base":7}}}},"right_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"unary","operator":"∁","unary_expr":{"type":"numeric_atoms","value":2468,"base":7}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":3474,"base":7},"right_expr":{"type":"numeric_atoms","value":1654,"base":7}}}}},"used_operators":["WhqkvtTD3t","2DlMacCsIx","FyVja0WsTP","JwTKLfZU96","SWo3A1KBJH","AljMvE3RRm","w2P8NbNXyL","lFBm8KRb8F","0kmYd0q39Y","jdwGQqwJi5","6o9Blt3TJ6"],"dependent_operators":["eewbuw0ToL","zVYPLywUTj","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","2DDjHMKMc0","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF"],"result":"≴∭⊉-224431","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2146","layer":4},{"info":"number node, value=3330","layer":4},{"info":"compute binary expreesion, left_input=2146, right_input=3330, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"number node, value=1014","layer":4},{"info":"compute unary expreesion, input=1014, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=8112","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=8112, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=204","layer":2},{"info":"number node, value=2647","layer":4},{"info":"number node, value=3201","layer":4},{"info":"compute binary expreesion, left_input=2647, right_input=3201, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=6150","layer":3},{"info":"compute unary expreesion, input=6150, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=204, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":1},{"info":"number node, value=2468","layer":4},{"info":"compute unary expreesion, input=2468, op_id = jdwGQqwJi5, unary_op_definition = 'a∁ = { (a⋝⋈⪟a) }', output=2468","layer":3},{"info":"number node, value=3474","layer":4},{"info":"number node, value=1654","layer":4},{"info":"compute binary expreesion, left_input=3474, right_input=1654, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-3441","layer":3},{"info":"compute binary expreesion, left_input=2468, right_input=-3441, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=4936","layer":2},{"info":"compute unary expreesion, input=4936, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-39896","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-39896, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=-40006","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉6154↳≱≴∭⊉12465⊱⇼⊻(⇋↷≴∭⊉2646)⩨(≸≮(≴∭⊉10501⊉↱≁≴∭⊉12222)))⫉⨲⊜(⇜(≴∭⊉10124∁)⩦(≴∭⊉13062⫰⋱≴∭⊉4552))=≴∭⊉-224431","reverse_text":"≴∭⊉-224431=(≴∭⊉6154↳≱≴∭⊉12465⊱⇼⊻(⇋↷≴∭⊉2646)⩨(≸≮(≴∭⊉10501⊉↱≁≴∭⊉12222)))⫉⨲⊜(⇜(≴∭⊉10124∁)⩦(≴∭⊉13062⫰⋱≴∭⊉4552))","cot":[{"info":"≴∭⊉6154↳≱≴∭⊉12465=≴∭⊉0","layer":3},{"info":"⇋↷≴∭⊉2646=≴∭⊉32436","layer":3},{"info":"≴∭⊉0⊱⇼⊻≴∭⊉32436=≴∭⊉411","layer":2},{"info":"≴∭⊉10501⊉↱≁≴∭⊉12222=≴∭⊉23634","layer":3},{"info":"≸≮≴∭⊉23634=NaN","layer":2},{"info":"≴∭⊉411⩨NaN=NaN","layer":1},{"info":"≴∭⊉10124∁=≴∭⊉10124","layer":3},{"info":"≴∭⊉13062⫰⋱≴∭⊉4552=≴∭⊉-13014","layer":3},{"info":"≴∭⊉10124⩦≴∭⊉-13014=≴∭⊉20251","layer":2},{"info":"⇜≴∭⊉20251=≴∭⊉-224213","layer":1},{"info":"NaN⫉⨲⊜≴∭⊉-224213=≴∭⊉-224431","layer":0}]}
+{"id":446,"expression_no_base_symbol":"⇉-⫰(($4967$⪉⨛$1460$)≹⇙⪍(≦∁$2743$)⩚⊴⇥($4818$⩹$1443$)∺≝⩲(→⩰$1065$))","expression":"⇉-⫰((≴∭⊉20324⪉⨛≴∭⊉4154)≹⇙⪍(≦∁≴∭⊉10666)⩚⊴⇥(≴∭⊉20022⩹≴∭⊉4131)∺≝⩲(→⩰≴∭⊉3051))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1507,"operation_count":8,"complexity_ratio":188.375,"tree":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":4967,"base":7},"right_expr":{"type":"numeric_atoms","value":1460,"base":7}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":2743,"base":7}}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":4818,"base":7},"right_expr":{"type":"numeric_atoms","value":1443,"base":7}},"right_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"numeric_atoms","value":1065,"base":7}}}}},"used_operators":["IGFM8TAlm9","NTOWxs364D","AHs5Up7iyr","EWw2JM7wp4","9ICcGScMcE","KPf6cnQVty","2Wsdkap16l","o8Pngz0Tml"],"dependent_operators":["eH2TOUuTDT","eewbuw0ToL","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=4967","layer":4},{"info":"number node, value=1460","layer":4},{"info":"compute binary expreesion, left_input=4967, right_input=1460, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=13656","layer":3},{"info":"number node, value=2743","layer":4},{"info":"compute unary expreesion, input=2743, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2743","layer":3},{"info":"compute binary expreesion, left_input=13656, right_input=2743, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=4818","layer":4},{"info":"number node, value=1443","layer":4},{"info":"compute binary expreesion, left_input=4818, right_input=1443, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=1441","layer":3},{"info":"number node, value=1065","layer":4},{"info":"compute unary expreesion, input=1065, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1441, right_input=nan, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"⇉-⫰((≴∭⊉20324���⨛≴∭⊉4154)≹⇙⪍(≦∁≴∭⊉10666)⩚⊴⇥(≴∭⊉20022⩹≴∭⊉4131)∺≝⩲(→⩰≴∭⊉3051))=NaN","reverse_text":"NaN=⇉-⫰((≴∭⊉20324⪉⨛≴∭⊉4154)≹⇙⪍(≦∁≴∭⊉10666)⩚⊴⇥(≴∭⊉20022⩹≴∭⊉4131)∺≝⩲(→⩰≴∭⊉3051))","cot":[{"info":"≴∭⊉20324⪉⨛≴∭⊉4154=≴∭⊉54546","layer":3},{"info":"≦∁≴∭⊉10666=≴∭⊉10666","layer":3},{"info":"≴∭⊉54546≹⇙⪍≴∭⊉10666=NaN","layer":2},{"info":"≴∭⊉20022⩹≴∭⊉4131=≴∭⊉4126","layer":3},{"info":"→⩰≴∭⊉3051=NaN","layer":3},{"info":"≴∭⊉4126∺≝⩲NaN=≴∭⊉316","layer":2},{"info":"NaN⩚⊴⇥≴∭⊉316=NaN","layer":1},{"info":"⇉-⫰NaN=NaN","layer":0}]}
+{"id":447,"expression_no_base_symbol":"((≑⋹$3266$)⪛$4373$⇡⇂$3611$)⨔⇊(($2158$⩺⋐⫨)≝⊰⇂)≬⋮($2173$⩖⊿$2018$≧⫂∧$5562$∥⊢⊲$1142$)⇷(∟⋨$3939$)≀⫉$3043$≚⊃≕$5836$","expression":"((≑⋹≴∭⊉12344)⪛≴∭⊉15515⇡⇂≴∭⊉13346)⨔⇊((≴∭⊉6202⩺⋐⫨)≝⊰⇂)≬⋮(≴∭⊉6223⩖⊿≴∭⊉5612≧⫂∧≴∭⊉22134∥⊢⊲≴∭⊉3221)⇷(∟⋨≴∭⊉14325)≀⫉≴∭⊉11605≚⊃≕≴∭⊉23005","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":22826,"operation_count":14,"complexity_ratio":1630.4285714285713,"tree":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"numeric_atoms","value":3266,"base":7}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":4373,"base":7},"right_expr":{"type":"numeric_atoms","value":3611,"base":7}}},"right_expr":{"type":"unary","operator":"≝⊰⇂","unary_expr":{"type":"unary","operator":"⩺⋐⫨","unary_expr":{"type":"numeric_atoms","value":2158,"base":7}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":2173,"base":7},"right_expr":{"type":"numeric_atoms","value":2018,"base":7}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":5562,"base":7},"right_expr":{"type":"numeric_atoms","value":1142,"base":7}}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"numeric_atoms","value":3939,"base":7}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":3043,"base":7},"right_expr":{"type":"numeric_atoms","value":5836,"base":7}}}}},"used_operators":["kbkesczE7y","JclMnS0uGI","uFcxV4UQCh","6B9nyZLogK","UMwdvZNt44","htSmYCowi5","yS9ePUuUdn","mp7IySMOzn","Ph9nP6C5qx","RZ5CV9rWsJ","v1UQAVDJRr","oZj3VtZNQx","ctOc4cKSDt","Bmrmz2XGnR"],"dependent_operators":["P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","9FxExcQeMw","DlLNRPXxWL","9samAPKr6k","j9kHMeSvPp","Tcnh7f0tEr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","EBcxylXtPf","rGHVDoGpnC","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","eLAdDNolq6","tmPS8pqC7x","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q"],"result":"≴∭⊉2350","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3266","layer":4},{"info":"compute unary expreesion, input=3266, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=1650","layer":3},{"info":"number node, value=4373","layer":4},{"info":"number node, value=3611","layer":4},{"info":"compute binary expreesion, left_input=4373, right_input=3611, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1650, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":2},{"info":"number node, value=2158","layer":4},{"info":"compute unary expreesion, input=2158, op_id = yS9ePUuUdn, unary_op_definition = 'a⩺⋐⫨ = { ((a≣⋋)⨽∌(a⪭a)) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = htSmYCowi5, unary_op_definition = 'a≝⊰⇂ = { (a⩷∴51) , if a<491 ; (⫛⫱⨽a) , else }', output=-134","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-134, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=67","layer":1},{"info":"number node, value=2173","layer":4},{"info":"number node, value=2018","layer":4},{"info":"compute binary expreesion, left_input=2173, right_input=2018, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=7370","layer":3},{"info":"number node, value=5562","layer":4},{"info":"number node, value=1142","layer":4},{"info":"compute binary expreesion, left_input=5562, right_input=1142, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=7370, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":2},{"info":"number node, value=3939","layer":4},{"info":"compute unary expreesion, input=3939, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-3455","layer":3},{"info":"number node, value=3043","layer":4},{"info":"number node, value=5836","layer":4},{"info":"compute binary expreesion, left_input=3043, right_input=5836, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=-3455, right_input=67, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2822, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=5644","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=5644, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":0}],"base":7,"result_base":7,"text":"((≑⋹≴∭⊉12344)⪛≴∭⊉15515⇡⇂≴∭⊉13346)⨔⇊((≴∭⊉6202⩺⋐⫨)≝⊰⇂)≬⋮(≴∭⊉6223⩖⊿≴∭⊉5612≧⫂∧≴∭⊉22134∥⊢⊲≴∭⊉3221)⇷(∟⋨≴∭⊉14325)≀⫉≴∭⊉11605≚⊃≕≴∭⊉23005=≴∭⊉2350","reverse_text":"≴∭⊉2350=((≑⋹≴∭⊉12344)⪛≴∭⊉15515⇡⇂≴∭⊉13346)⨔⇊((≴∭⊉6202⩺⋐⫨)≝⊰⇂)≬⋮(≴∭⊉6223⩖⊿≴∭⊉5612≧⫂∧≴∭⊉22134∥⊢⊲≴∭⊉3221)⇷(∟⋨≴∭⊉14325)≀⫉≴∭⊉11605≚⊃≕≴∭⊉23005","cot":[{"info":"≑⋹≴∭⊉12344=≴∭⊉4545","layer":3},{"info":"≴∭⊉15515⇡⇂≴∭⊉13346=NaN","layer":3},{"info":"≴∭⊉4545⪛NaN=NaN","layer":2},{"info":"≴∭⊉6202⩺⋐⫨=≴∭⊉0","layer":3},{"info":"≴∭⊉0≝⊰⇂=≴∭⊉-251","layer":2},{"info":"NaN⨔⇊≴∭⊉-251=≴∭⊉124","layer":1},{"info":"≴∭⊉6223⩖⊿≴∭⊉5612=≴∭⊉30326","layer":3},{"info":"≴∭⊉22134∥⊢⊲≴∭⊉3221=NaN","layer":3},{"info":"≴∭⊉30326≧⫂∧NaN=NaN","layer":2},{"info":"∟⋨≴∭⊉14325=≴∭⊉-13034","layer":3},{"info":"≴∭⊉11605≚⊃≕≴∭⊉23005=≴∭⊉124","layer":3},{"info":"≴∭⊉-13034≀⫉≴∭⊉124=≴∭⊉11141","layer":2},{"info":"NaN⇷≴∭⊉11141=≴∭⊉22312","layer":1},{"info":"≴∭⊉124≬⋮≴∭⊉22312=≴∭⊉2350","layer":0}]}
+{"id":448,"expression_no_base_symbol":"(($3736$⩨$3808$)∀⇚≩($2500$⋭≵$4428$))⨿($1179$⪶≀⋏$1072$)⪝(∂⩏⊆$9237$)∣(↥≼⋛(⨈⫕$2707$)∠⫱$1023$⪶≀⋏$2855$)","expression":"((≴∭⊉13615⩨≴∭⊉14050)∀⇚≩(≴∭⊉10201⋭≵≴∭⊉15624))⨿(≴∭⊉3303⪶≀⋏≴∭⊉3061)⪝(∂⩏⊆≴∭⊉35634)∣(↥≼⋛(⨈⫕≴∭⊉10615)∠⫱≴∭⊉2661⪶≀⋏≴∭⊉11216)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":15557,"operation_count":12,"complexity_ratio":1296.4166666666667,"tree":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3736,"base":7},"right_expr":{"type":"numeric_atoms","value":3808,"base":7}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":2500,"base":7},"right_expr":{"type":"numeric_atoms","value":4428,"base":7}}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":1179,"base":7},"right_expr":{"type":"numeric_atoms","value":1072,"base":7}},"right_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"numeric_atoms","value":9237,"base":7}}}},"right_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":2707,"base":7}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":1023,"base":7},"right_expr":{"type":"numeric_atoms","value":2855,"base":7}}}}},"used_operators":["PPChnnnBFF","abYXlopdE0","LRNGc0VcxI","2DlMacCsIx","jBncVCNhdl","wicAB68Tmb","zR4jO40bMj","8WDwsbhb0R","x5lMkHmzsq","QvoQhV0rrE","megm06wKyl"],"dependent_operators":["eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","X99M06cbEe","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","14qkJME0vr","eLAdDNolq6","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"≴∭⊉2411","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3736","layer":4},{"info":"number node, value=3808","layer":4},{"info":"compute binary expreesion, left_input=3736, right_input=3808, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"number node, value=2500","layer":4},{"info":"number node, value=4428","layer":4},{"info":"compute binary expreesion, left_input=2500, right_input=4428, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=-3, right_input=67, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=-4739","layer":2},{"info":"number node, value=1179","layer":4},{"info":"number node, value=1072","layer":4},{"info":"compute binary expreesion, left_input=1179, right_input=1072, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-5913","layer":3},{"info":"number node, value=9237","layer":4},{"info":"compute unary expreesion, input=9237, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-27790","layer":3},{"info":"compute binary expreesion, left_input=-5913, right_input=-27790, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-87907","layer":2},{"info":"compute binary expreesion, left_input=-4739, right_input=-87907, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=67","layer":1},{"info":"number node, value=2707","layer":4},{"info":"compute unary expreesion, input=2707, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":3},{"info":"number node, value=1023","layer":4},{"info":"number node, value=2855","layer":4},{"info":"compute binary expreesion, left_input=1023, right_input=2855, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-9011","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=-9011, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=8990","layer":2},{"info":"compute unary expreesion, input=8990, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-113","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=-113, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=890","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉13615⩨≴∭⊉14050)∀⇚≩(≴∭⊉10201⋭≵≴∭⊉15624))⨿(≴∭⊉3303⪶≀⋏≴∭⊉3061)⪝(∂⩏⊆≴∭⊉35634)∣(↥≼⋛(⨈⫕≴∭⊉10615)∠⫱≴∭⊉2661⪶≀⋏≴∭⊉11216)=≴∭⊉2411","reverse_text":"≴∭⊉2411=((≴∭⊉13615⩨≴∭⊉14050)∀⇚≩(≴∭⊉10201⋭≵≴∭⊉15624))⨿(≴∭⊉3303⪶≀⋏≴∭⊉3061)⪝(∂⩏⊆≴∭⊉35634)∣(↥≼⋛(⨈⫕≴∭⊉10615)∠⫱≴∭⊉2661⪶≀⋏≴∭⊉11216)","cot":[{"info":"≴∭⊉13615⩨≴∭⊉14050=≴∭⊉-3","layer":3},{"info":"≴∭⊉10201⋭≵≴∭⊉15624=≴∭⊉124","layer":3},{"info":"≴∭⊉-3∀⇚≩≴∭⊉124=≴∭⊉-16550","layer":2},{"info":"≴∭⊉3303⪶≀⋏≴∭⊉3061=≴∭⊉-23145","layer":3},{"info":"∂⩏⊆≴∭⊉35634=≴∭⊉-144010","layer":3},{"info":"≴∭⊉-23145⪝≴∭⊉-144010=≴∭⊉-514201","layer":2},{"info":"≴∭⊉-16550⨿≴∭⊉-514201=≴∭⊉124","layer":1},{"info":"⨈⫕≴∭⊉10615=≴∭⊉-30","layer":3},{"info":"≴∭⊉2661⪶≀⋏≴∭⊉11216=≴∭⊉-35162","layer":3},{"info":"≴∭⊉-30∠⫱≴∭⊉-35162=≴∭⊉35132","layer":2},{"info":"↥≼⋛≴∭⊉35132=≴∭⊉-221","layer":1},{"info":"≴∭⊉124∣≴∭⊉-221=≴∭⊉2411","layer":0}]}
+{"id":449,"expression_no_base_symbol":"(($3158$⊀⩕)⊋($2450$⇮⋭$6597$)≭($7082$⨚$1971$)⇤($1163$⊘))∴((⩦⊞$6987$⪎↠$1500$)⩘(≇⪴($2396$⫢⨠$2055$)))","expression":"((≴∭⊉12131⊀⩕)⊋(≴∭⊉10100⇮⋭≴∭⊉25143)≭(≴∭⊉26435⨚≴∭⊉5514)⇤(≴∭⊉3251⊘))∴((⩦⊞≴∭⊉26241⪎↠≴∭⊉4242)⩘(≇⪴(≴∭⊉6662⫢⨠≴∭⊉5664)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1634,"operation_count":13,"complexity_ratio":125.6923076923077,"tree":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"unary","operator":"⊀⩕","unary_expr":{"type":"numeric_atoms","value":3158,"base":7}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":2450,"base":7},"right_expr":{"type":"numeric_atoms","value":6597,"base":7}}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":7082,"base":7},"right_expr":{"type":"numeric_atoms","value":1971,"base":7}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":1163,"base":7}}}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":6987,"base":7},"right_expr":{"type":"numeric_atoms","value":1500,"base":7}}},"right_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":2396,"base":7},"right_expr":{"type":"numeric_atoms","value":2055,"base":7}}}}},"used_operators":["hrf7POJlIJ","rxpJgHHUmx","W4tP9CfskL","r0FS3hW4cC","vkpjKywKVM","YSKBFp38Pu","nREPSIbpBE","gu96TGCTMs","cHh1gJQ2o6","u7fv1HBiaC","3tVxb0NHM4","zoVPnxeHJ3","xlXykHWxX1"],"dependent_operators":["g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","AHs5Up7iyr","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","rGHVDoGpnC","nhYeJWJD5X","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","BjRHVeLaeN","12rbrZMWeM","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3158","layer":4},{"info":"compute unary expreesion, input=3158, op_id = r0FS3hW4cC, unary_op_definition = 'a⊀⩕ = { (a⨟⋌⩍(181∇⊂⋱a)) }', output=0","layer":3},{"info":"number node, value=2450","layer":4},{"info":"number node, value=6597","layer":4},{"info":"compute binary expreesion, left_input=2450, right_input=6597, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-473, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=-14914","layer":2},{"info":"number node, value=7082","layer":4},{"info":"number node, value=1971","layer":4},{"info":"compute binary expreesion, left_input=7082, right_input=1971, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=7214","layer":3},{"info":"number node, value=1163","layer":4},{"info":"compute unary expreesion, input=1163, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=7214, right_input=0, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-33222","layer":2},{"info":"compute binary expreesion, left_input=-14914, right_input=-33222, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"number node, value=6987","layer":4},{"info":"number node, value=1500","layer":4},{"info":"compute binary expreesion, left_input=6987, right_input=1500, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=264","layer":2},{"info":"number node, value=2396","layer":4},{"info":"number node, value=2055","layer":4},{"info":"compute binary expreesion, left_input=2396, right_input=2055, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=640","layer":2},{"info":"compute binary expreesion, left_input=264, right_input=640, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉12131⊀⩕)⊋(≴∭⊉10100⇮⋭≴∭⊉25143)≭(≴∭⊉26435⨚≴∭⊉5514)⇤(≴∭⊉3251⊘))∴((⩦⊞≴∭⊉26241⪎↠≴∭⊉4242)⩘(≇⪴(≴∭⊉6662⫢⨠≴∭⊉5664)))=NaN","reverse_text":"NaN=((≴∭⊉12131⊀⩕)⊋(≴∭⊉10100⇮⋭≴∭⊉25143)≭(≴∭⊉26435⨚≴∭⊉5514)⇤(≴∭⊉3251⊘))∴((⩦⊞≴∭⊉26241⪎↠≴∭⊉4242)⩘(≇⪴(≴∭⊉6662⫢⨠≴∭⊉5664)))","cot":[{"info":"≴∭⊉12131⊀⩕=≴∭⊉0","layer":3},{"info":"≴∭⊉10100⇮⋭≴∭⊉25143=≴∭⊉-1244","layer":3},{"info":"≴∭⊉0⊋≴∭⊉-1244=≴∭⊉-61324","layer":2},{"info":"≴∭⊉26435⨚≴∭⊉5514=≴∭⊉30014","layer":3},{"info":"≴∭⊉3251⊘=≴∭⊉0","layer":3},{"info":"≴∭⊉30014⇤≴∭⊉0=≴∭⊉-165600","layer":2},{"info":"≴∭⊉-61324≭≴∭⊉-165600=NaN","layer":1},{"info":"≴∭⊉26241⪎↠≴∭⊉4242=≴∭⊉316","layer":3},{"info":"⩦⊞≴∭⊉316=≴∭⊉525","layer":2},{"info":"≴∭⊉6662⫢⨠≴∭⊉5664=≴∭⊉316","layer":3},{"info":"≇⪴≴∭⊉316=≴∭⊉1603","layer":2},{"info":"≴∭⊉525⩘≴∭⊉1603=≴∭⊉316","layer":1},{"info":"NaN∴≴∭⊉316=NaN","layer":0}]}
+{"id":450,"expression_no_base_symbol":"⩎⋉($1188$⫞⩸⩒$1299$≚⊃≕($7490$⩱)∽($1163$⊝⪿⪼$3493$)⪝($5205$∷))","expression":"⩎⋉(≴∭⊉3315⫞⩸⩒≴∭⊉3534≚⊃≕(≴∭⊉30560⩱)∽(≴∭⊉3251⊝⪿⪼≴∭⊉13120)⪝(≴∭⊉21114∷))","highest_n_order":2,"priority_hierarchical_complexity":8,"normalized_expansion_degree":596,"operation_count":8,"complexity_ratio":74.5,"tree":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":1188,"base":7},"right_expr":{"type":"numeric_atoms","value":1299,"base":7}},"right_expr":{"type":"unary","operator":"⩱","unary_expr":{"type":"numeric_atoms","value":7490,"base":7}}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":1163,"base":7},"right_expr":{"type":"numeric_atoms","value":3493,"base":7}},"right_expr":{"type":"unary","operator":"∷","unary_expr":{"type":"numeric_atoms","value":5205,"base":7}}}}},"used_operators":["FlXk3pOYe8","y4ImoPnbV5","Bmrmz2XGnR","XGcMNugi78","uyq1hVkAcj","wicAB68Tmb","3Oe9XWJUTD","nFAOW8KTqp"],"dependent_operators":["KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","NTOWxs364D","QMFrweE19q","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","DpFCA1CohY","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","COABgblf1C","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","D4vGDi5EA2","t8gj7n24qd","2DDjHMKMc0"],"result":"≴∭⊉4545","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1188","layer":4},{"info":"number node, value=1299","layer":4},{"info":"compute binary expreesion, left_input=1188, right_input=1299, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=1299","layer":3},{"info":"number node, value=7490","layer":4},{"info":"compute unary expreesion, input=7490, op_id = uyq1hVkAcj, unary_op_definition = 'a⩱ = { ((⋗⩬⋾(a⊭↱a))↺((a⨸⪁a)⪒(a⨸⪁125))) }', output=-45190","layer":3},{"info":"compute binary expreesion, left_input=1299, right_input=-45190, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=-85350","layer":2},{"info":"number node, value=1163","layer":4},{"info":"number node, value=3493","layer":4},{"info":"compute binary expreesion, left_input=1163, right_input=3493, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=27377","layer":3},{"info":"number node, value=5205","layer":4},{"info":"compute unary expreesion, input=5205, op_id = nFAOW8KTqp, unary_op_definition = 'a∷ = { ((-(a⋝⋈⪟a))≦≮≮) }', output=15615","layer":3},{"info":"compute binary expreesion, left_input=27377, right_input=15615, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-47447","layer":2},{"info":"compute binary expreesion, left_input=-85350, right_input=-47447, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=569269","layer":1},{"info":"compute unary expreesion, input=569269, op_id = FlXk3pOYe8, unary_op_definition = '⩎⋉a = { (((a/a)∲⫓(≛a))∴((a⩨a)⨳⩥⨓(⊄⩳↩a))) , if (a⩇∃⫛268)<=24 or a==244 or (↩⪖a)>=4 ; (((a⨔⇊a)∠↢(↸⊣a))≚⊃≕((≦∁a)⨐461)) , else }', output=1650","layer":0}],"base":7,"result_base":7,"text":"⩎⋉(≴∭⊉3315⫞⩸⩒≴∭⊉3534≚⊃≕(≴∭⊉30560⩱)∽(≴∭⊉3251⊝⪿⪼≴∭⊉13120)⪝(≴∭⊉21114∷))=≴∭⊉4545","reverse_text":"≴∭⊉4545=⩎⋉(≴∭⊉3315⫞⩸⩒≴∭⊉3534≚⊃≕(≴∭⊉30560⩱)∽(≴∭⊉3251⊝⪿⪼≴∭⊉13120)⪝(≴∭⊉21114∷))","cot":[{"info":"≴∭⊉3315⫞⩸⩒≴∭⊉3534=≴∭⊉3534","layer":3},{"info":"≴∭⊉30560⩱=≴∭⊉-245515","layer":3},{"info":"≴∭⊉3534≚⊃≕≴∭⊉-245515=≴∭⊉-503556","layer":2},{"info":"≴∭⊉3251⊝⪿⪼≴∭⊉13120=≴∭⊉142550","layer":3},{"info":"≴∭⊉21114∷=≴∭⊉63345","layer":3},{"info":"≴∭⊉142550⪝≴∭⊉63345=≴∭⊉-255221","layer":2},{"info":"≴∭⊉-503556∽≴∭⊉-255221=≴∭⊉4560451","layer":1},{"info":"⩎⋉≴∭⊉4560451=≴∭⊉4545","layer":0}]}
+{"id":451,"expression_no_base_symbol":"($1982$⇤$1457$→⨶⪴($1763$⋥≓≎$7015$))⇡⇂(∡(⩪∧⨌$1330$))≬⇓($2187$≄⊠$1090$⊪)⋝⋈⪟($2300$∣$1525$)⊉↱≁$8918$⊮⊟↴$3556$","expression":"(≴∭⊉5531⇤≴∭⊉4151→⨶⪴(≴∭⊉5066⋥≓≎≴∭⊉26311))⇡⇂(∡(⩪∧⨌≴∭⊉3610))≬⇓(≴∭⊉6243≄⊠≴∭⊉3115⊪)⋝⋈⪟(≴∭⊉6464∣≴∭⊉4306)⊉↱≁≴∭⊉35000⊮⊟↴≴∭⊉13240","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":105714,"operation_count":13,"complexity_ratio":8131.846153846154,"tree":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":1982,"base":7},"right_expr":{"type":"numeric_atoms","value":1457,"base":7}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1763,"base":7},"right_expr":{"type":"numeric_atoms","value":7015,"base":7}}},"right_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"numeric_atoms","value":1330,"base":7}}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":2187,"base":7},"right_expr":{"type":"numeric_atoms","value":1090,"base":7}}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":2300,"base":7},"right_expr":{"type":"numeric_atoms","value":1525,"base":7}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":8918,"base":7},"right_expr":{"type":"numeric_atoms","value":3556,"base":7}}}}},"used_operators":["jWTQ2TZYIH","UMwdvZNt44","bF6eod5Gvf","YSKBFp38Pu","Qy55tPpLXF","pRsWfj4Fpp","6iOiAJX1F8","2DDjHMKMc0","zVYPLywUTj","vXNesLlMH1","w2P8NbNXyL","PPChnnnBFF","QDVgd2eftb"],"dependent_operators":["AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","8w2t5hMYqp","9FxExcQeMw","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK"],"result":"≴∭⊉-31","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1982","layer":4},{"info":"number node, value=1457","layer":4},{"info":"compute binary expreesion, left_input=1982, right_input=1457, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-14347","layer":3},{"info":"number node, value=1763","layer":4},{"info":"number node, value=7015","layer":4},{"info":"compute binary expreesion, left_input=1763, right_input=7015, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=12300","layer":3},{"info":"compute binary expreesion, left_input=-14347, right_input=12300, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-36900","layer":2},{"info":"number node, value=1330","layer":4},{"info":"compute unary expreesion, input=1330, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=13300","layer":3},{"info":"compute unary expreesion, input=13300, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=-13300","layer":2},{"info":"compute binary expreesion, left_input=-36900, right_input=-13300, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":1},{"info":"number node, value=2187","layer":4},{"info":"number node, value=1090","layer":4},{"info":"compute binary expreesion, left_input=2187, right_input=1090, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=22108","layer":3},{"info":"compute unary expreesion, input=22108, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":2},{"info":"number node, value=2300","layer":4},{"info":"number node, value=1525","layer":4},{"info":"compute binary expreesion, left_input=2300, right_input=1525, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=2300","layer":3},{"info":"number node, value=8918","layer":4},{"info":"number node, value=3556","layer":4},{"info":"compute binary expreesion, left_input=8918, right_input=3556, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=2300, right_input=0, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=22948","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=22948, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉5531⇤≴∭⊉4151→⨶⪴(≴∭⊉5066⋥≓≎≴∭⊉26311))⇡⇂(∡(⩪∧⨌≴∭⊉3610))≬⇓(≴∭⊉6243≄⊠≴∭⊉3115⊪)⋝⋈⪟(≴∭⊉6464∣≴∭⊉4306)⊉↱≁≴∭⊉35000⊮⊟↴≴∭⊉13240=≴∭⊉-31","reverse_text":"≴∭⊉-31=(≴∭⊉5531⇤≴∭⊉4151→⨶⪴(≴∭⊉5066⋥≓≎≴∭⊉26311))⇡⇂(∡(⩪∧⨌≴∭⊉3610))≬⇓(≴∭⊉6243≄⊠≴∭⊉3115⊪)⋝⋈⪟(≴∭⊉6464∣≴∭⊉4306)⊉↱≁≴∭⊉35000⊮⊟↴≴∭⊉13240","cot":[{"info":"≴∭⊉5531⇤≴∭⊉4151=≴∭⊉-56554","layer":3},{"info":"≴∭⊉5066⋥≓≎≴∭⊉26311=≴∭⊉50601","layer":3},{"info":"≴∭⊉-56554→⨶⪴≴∭⊉50601=≴∭⊉-212403","layer":2},{"info":"⩪∧⨌≴∭⊉3610=≴∭⊉53530","layer":3},{"info":"∡≴∭⊉53530=≴∭⊉-53530","layer":2},{"info":"≴∭⊉-212403⇡⇂≴∭⊉-53530=NaN","layer":1},{"info":"≴∭⊉6243≄⊠≴∭⊉3115=≴∭⊉121312","layer":3},{"info":"≴∭⊉121312⊪=≴∭⊉0","layer":2},{"info":"≴∭⊉6464∣≴∭⊉4306=≴∭⊉6464","layer":3},{"info":"≴∭⊉35000⊮⊟↴≴∭⊉13240=≴∭⊉0","layer":3},{"info":"≴∭⊉6464⊉↱≁≴∭⊉0=≴∭⊉123622","layer":2},{"info":"≴∭⊉0⋝⋈⪟≴∭⊉123622=≴∭⊉0","layer":1},{"info":"NaN≬⇓≴∭⊉0=≴∭⊉-31","layer":0}]}
+{"id":452,"expression_no_base_symbol":"($3903$∼$5837$∽($4564$⋩≍≻))+⇶⊼($2588$≹⇙⪍$1096$)⇻⋧≁($8729$∓⋝$1540$)⫥∨⫟($3824$⫌⩉⩟$3659$)⩁⩘(≛$5887$)∑⇟⊟(∡($1673$⪠⩆⊳))","expression":"(≴∭⊉14244∼≴∭⊉23006∽(≴∭⊉16210⋩≍≻))+⇶⊼(≴∭⊉10355≹⇙⪍≴∭⊉3124)⇻⋧≁(≴∭⊉34310∓⋝≴∭⊉4330)⫥∨⫟(≴∭⊉14102⫌⩉⩟≴∭⊉13445)⩁⩘(≛≴∭⊉23110)∑⇟⊟(∡(≴∭⊉4610⪠⩆⊳))","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":18406,"operation_count":14,"complexity_ratio":1314.7142857142858,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3903,"base":7},"right_expr":{"type":"numeric_atoms","value":5837,"base":7}},"right_expr":{"type":"unary","operator":"⋩≍≻","unary_expr":{"type":"numeric_atoms","value":4564,"base":7}}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2588,"base":7},"right_expr":{"type":"numeric_atoms","value":1096,"base":7}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":8729,"base":7},"right_expr":{"type":"numeric_atoms","value":1540,"base":7}}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":3824,"base":7},"right_expr":{"type":"numeric_atoms","value":3659,"base":7}},"right_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"numeric_atoms","value":5887,"base":7}}},"right_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":1673,"base":7}}}}},"used_operators":["KYD54nUTWz","TpPTUOHfaN","y4ImoPnbV5","DyGG3AbaNP","WYd1w68Nbz","jCPkEVoL5K","AHs5Up7iyr","PoHhknlbAi","U7g4x0WXJJ","gub5Cegaqo","XIIwhv8d0m","W7eaUhjymW","pRsWfj4Fpp","JLbD19bQDL"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","AHs5Up7iyr","NTOWxs364D","QMFrweE19q","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","P8v4zCKN1o","Noe24qw2ks","mqXw5SEYmG","IWmyXbctLI","COABgblf1C","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","dWAJyo7jo9","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","DpFCA1CohY","IWmyXbctLI","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=3903","layer":4},{"info":"number node, value=5837","layer":4},{"info":"compute binary expreesion, left_input=3903, right_input=5837, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"number node, value=4564","layer":4},{"info":"compute unary expreesion, input=4564, op_id = WYd1w68Nbz, unary_op_definition = 'a⋩≍≻ = { (∥⊫(a⊭↱21)) , if a>=390 ; ((a⨐a)⫸⊐(a⪮%⊝a)) , else }', output=-55","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-55, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=nan","layer":2},{"info":"number node, value=2588","layer":4},{"info":"number node, value=1096","layer":4},{"info":"compute binary expreesion, left_input=2588, right_input=1096, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=8729","layer":4},{"info":"number node, value=1540","layer":4},{"info":"compute binary expreesion, left_input=8729, right_input=1540, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"number node, value=3824","layer":4},{"info":"number node, value=3659","layer":4},{"info":"compute binary expreesion, left_input=3824, right_input=3659, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"number node, value=5887","layer":4},{"info":"compute unary expreesion, input=5887, op_id = W7eaUhjymW, unary_op_definition = '≛a = { (((a+a)⊉≛↸(a⪠⩆⊳))⊭↱((a⪒a)⩚⊴⇥(a⋝⋈⪟a))) , if (a⫩⊇)>7 or a==273 ; (((a-a)⪒(a⪨≂a))⊉≛↸((a⨰a)⋝⋈⪟(a+a))) , else }', output=-10","layer":3},{"info":"compute binary expreesion, left_input=-50, right_input=-10, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=908","layer":2},{"info":"number node, value=1673","layer":4},{"info":"compute unary expreesion, input=1673, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=908, right_input=0, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=908","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=908, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉14244∼≴∭⊉23006∽(≴∭⊉16210⋩≍≻))+⇶⊼(≴∭⊉10355≹⇙⪍≴∭⊉3124)⇻⋧≁(≴∭⊉34310∓⋝≴∭⊉4330)⫥∨⫟(≴∭⊉14102⫌⩉⩟≴∭⊉13445)⩁⩘(≛≴∭⊉23110)∑⇟⊟(∡(≴∭⊉4610⪠⩆⊳))=NaN","reverse_text":"NaN=(≴∭⊉14244∼≴∭⊉23006∽(≴∭⊉16210⋩≍≻))+⇶⊼(≴∭⊉10355≹⇙⪍≴∭⊉3124)⇻⋧≁(≴∭⊉34310∓⋝≴∭⊉4330)⫥∨⫟(≴∭⊉14102⫌⩉⩟≴∭⊉13445)⩁⩘(≛≴∭⊉23110)∑⇟⊟(∡(≴∭⊉4610⪠⩆⊳))","cot":[{"info":"≴∭⊉14244∼≴∭⊉23006=NaN","layer":3},{"info":"≴∭⊉16210⋩≍≻=≴∭⊉-106","layer":3},{"info":"NaN∽≴∭⊉-106=NaN","layer":2},{"info":"≴∭⊉10355≹⇙⪍≴∭⊉3124=NaN","layer":3},{"info":"≴∭⊉34310∓⋝≴∭⊉4330=≴∭⊉124","layer":3},{"info":"NaN⇻⋧≁≴∭⊉124=NaN","layer":2},{"info":"NaN+⇶⊼NaN=NaN","layer":1},{"info":"≴∭⊉14102⫌⩉⩟≴∭⊉13445=≴∭⊉-101","layer":3},{"info":"≛≴∭⊉23110=≴∭⊉-13","layer":3},{"info":"≴∭⊉-101⩁⩘≴∭⊉-13=≴∭⊉2435","layer":2},{"info":"≴∭⊉4610⪠⩆⊳=≴∭⊉0","layer":3},{"info":"∡≴∭⊉0=≴∭⊉0","layer":2},{"info":"≴∭⊉2435∑⇟⊟≴∭⊉0=≴∭⊉2435","layer":1},{"info":"NaN⫥∨⫟≴∭⊉2435=NaN","layer":0}]}
+{"id":453,"expression_no_base_symbol":"∓(≛($2393$⇚⪠)⨳⩥⨓(∓⪦$4755$))","expression":"∓(≛(≴∭⊉6656⇚⪠)⨳⩥⨓(∓⪦≴∭⊉16602))","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":2488,"operation_count":5,"complexity_ratio":497.6,"tree":{"type":"unary","operator":"∓","unary_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"⇚⪠","unary_expr":{"type":"numeric_atoms","value":2393,"base":7}},"right_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"numeric_atoms","value":4755,"base":7}}}}},"used_operators":["OwUj7dcsQK","W7eaUhjymW","nCS4ZIUYfx","Loh9y4A90B","D309nIvmXG"],"dependent_operators":["DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","Z5m6OM72h2","9HNa5Wba9A","ztP7wcbY7m","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL"],"result":"≴∭⊉11340215103","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2393","layer":4},{"info":"compute unary expreesion, input=2393, op_id = Loh9y4A90B, unary_op_definition = 'a⇚⪠ = { ((a∘(a∈))*a) }', output=11452898","layer":3},{"info":"number node, value=4755","layer":4},{"info":"compute unary expreesion, input=4755, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=4347","layer":3},{"info":"compute binary expreesion, left_input=11452898, right_input=4347, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥���b = { ((b+a)-(a+a)) }', output=-11448551","layer":2},{"info":"compute unary expreesion, input=-11448551, op_id = W7eaUhjymW, unary_op_definition = '≛a = { (((a+a)⊉≛↸(a⪠⩆⊳))⊭↱((a⪒a)⩚⊴⇥(a⋝⋈⪟a))) , if (a⫩⊇)>7 or a==273 ; (((a-a)⪒(a⪨≂a))⊉≛↸((a⨰a)⋝⋈⪟(a+a))) , else }', output=-22897339","layer":1},{"info":"compute unary expreesion, input=-22897339, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=343455213","layer":0}],"base":7,"result_base":7,"text":"∓(≛(≴∭⊉6656⇚⪠)⨳⩥⨓(∓⪦≴∭⊉16602))=≴∭⊉11340215103","reverse_text":"≴∭⊉11340215103=∓(≛(≴∭⊉6656⇚⪠)⨳⩥⨓(∓⪦≴∭⊉16602))","cot":[{"info":"≴∭⊉6656⇚⪠=≴∭⊉166230242","layer":3},{"info":"∓⪦≴∭⊉16602=≴∭⊉15450","layer":3},{"info":"≴∭⊉166230242⨳⩥⨓≴∭⊉15450=≴∭⊉-166211462","layer":2},{"info":"≛≴∭⊉-166211462=≴∭⊉-365424043","layer":1},{"info":"∓≴∭⊉-365424043=≴∭⊉11340215103","layer":0}]}
+{"id":454,"expression_no_base_symbol":"⪨⨬(($1035$⨳⩥⨓$1507$)⫥∨⫟($6793$⊉≛↸$5064$)-($6144$≃$1784$)≠≀$2424$↼⊘⨖$3410$)","expression":"⪨⨬((≴∭⊉3006⨳⩥⨓≴∭⊉4252)⫥∨⫟(≴∭⊉25543⊉≛↸≴∭⊉20523)-(≴∭⊉23625≃≴∭⊉5126)≠≀≴∭⊉10032↼⊘⨖≴∭⊉12641)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":220,"operation_count":8,"complexity_ratio":27.5,"tree":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1035,"base":7},"right_expr":{"type":"numeric_atoms","value":1507,"base":7}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":6793,"base":7},"right_expr":{"type":"numeric_atoms","value":5064,"base":7}}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":6144,"base":7},"right_expr":{"type":"numeric_atoms","value":1784,"base":7}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":2424,"base":7},"right_expr":{"type":"numeric_atoms","value":3410,"base":7}}}}},"used_operators":["5obUd6DV38","rysDP5nf3Z","KYD54nUTWz","nCS4ZIUYfx","DZ8iAZOCBD","IwW236VD4Y","YbVcJGFEVW","bPywburJMS"],"dependent_operators":["T2fj7uvVaJ","nlCqmYiOvY","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1035","layer":4},{"info":"number node, value=1507","layer":4},{"info":"compute binary expreesion, left_input=1035, right_input=1507, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=472","layer":3},{"info":"number node, value=6793","layer":4},{"info":"number node, value=5064","layer":4},{"info":"compute binary expreesion, left_input=6793, right_input=5064, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=13586","layer":3},{"info":"compute binary expreesion, left_input=472, right_input=13586, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=6144","layer":4},{"info":"number node, value=1784","layer":4},{"info":"compute binary expreesion, left_input=6144, right_input=1784, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-24616","layer":3},{"info":"number node, value=2424","layer":4},{"info":"number node, value=3410","layer":4},{"info":"compute binary expreesion, left_input=2424, right_input=3410, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=6598","layer":3},{"info":"compute binary expreesion, left_input=-24616, right_input=6598, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=49538","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=49538, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"⪨⨬((≴∭⊉3006⨳⩥⨓≴∭⊉4252)⫥∨⫟(≴∭⊉25543⊉≛↸≴∭⊉20523)-(≴∭⊉23625≃≴∭⊉5126)≠≀��∭⊉10032↼⊘⨖≴∭⊉12641)=NaN","reverse_text":"NaN=⪨⨬((≴∭⊉3006⨳⩥⨓≴∭⊉4252)⫥∨⫟(≴∭⊉25543⊉≛↸≴∭⊉20523)-(≴∭⊉23625≃≴∭⊉5126)≠≀≴∭⊉10032↼⊘⨖≴∭⊉12641)","cot":[{"info":"≴∭⊉3006⨳⩥⨓≴∭⊉4252=≴∭⊉1243","layer":3},{"info":"≴∭⊉25543⊉≛↸≴∭⊉20523=≴∭⊉54416","layer":3},{"info":"≴∭⊉1243⫥∨⫟≴∭⊉54416=NaN","layer":2},{"info":"≴∭⊉23625≃≴∭⊉5126=≴∭⊉-131524","layer":3},{"info":"≴∭⊉10032↼⊘⨖≴∭⊉12641=≴∭⊉25144","layer":3},{"info":"≴∭⊉-131524≠≀≴∭⊉25144=≴∭⊉264266","layer":2},{"info":"NaN-≴∭⊉264266=NaN","layer":1},{"info":"⪨⨬NaN=NaN","layer":0}]}
+{"id":455,"expression_no_base_symbol":"((↽≂$7764$)∼$9632$⊋$1630$)⊮⊟↴(($6068$⨀⨒)⪁($2541$⩤))⊍⩺⋍(($5126$⫚↹⊑$2777$)⊉≛↸$1546$∠↢$4075$)⇡⇂($2217$⊮⊟↴$5684$⪛($2956$+$1350$))","expression":"((↽≂≴∭⊉31431)∼≴∭⊉40040⊋≴∭⊉4516)⊮⊟↴((≴∭⊉23456⨀⨒)⪁(≴∭⊉10260⩤))⊍⩺⋍((≴∭⊉20642⫚↹⊑≴∭⊉11045)⊉≛↸≴∭⊉4336∠↢≴∭⊉14611)⇡⇂(≴∭⊉6315⊮⊟↴≴∭⊉22400⪛(≴∭⊉11422+≴∭⊉3636))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":82626238,"operation_count":15,"complexity_ratio":5508415.866666666,"tree":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":7764,"base":7}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":9632,"base":7},"right_expr":{"type":"numeric_atoms","value":1630,"base":7}}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"unary","operator":"⨀⨒","unary_expr":{"type":"numeric_atoms","value":6068,"base":7}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":2541,"base":7}}}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":5126,"base":7},"right_expr":{"type":"numeric_atoms","value":2777,"base":7}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":1546,"base":7},"right_expr":{"type":"numeric_atoms","value":4075,"base":7}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":2217,"base":7},"right_expr":{"type":"numeric_atoms","value":5684,"base":7}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2956,"base":7},"right_expr":{"type":"numeric_atoms","value":1350,"base":7}}}}},"used_operators":["OXDGMFPWZM","QDVgd2eftb","DyGG3AbaNP","u6S6b8DprG","W4tP9CfskL","I7sXao9hZE","j6NVkjMzuk","Z2TMIBDE3Q","UMwdvZNt44","DZ8iAZOCBD","dfKe02y8D2","KbjG8mgYpV","uFcxV4UQCh","W4YGzv6Whe"],"dependent_operators":["kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","E4l6HwMY31","Ikt5ks8PT7","HmxsFra2vL","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=7764","layer":4},{"info":"compute unary expreesion, input=7764, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-15528","layer":3},{"info":"number node, value=9632","layer":4},{"info":"number node, value=1630","layer":4},{"info":"compute binary expreesion, left_input=9632, right_input=1630, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=99676236","layer":3},{"info":"compute binary expreesion, left_input=-15528, right_input=99676236, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"number node, value=6068","layer":4},{"info":"compute unary expreesion, input=6068, op_id = j6NVkjMzuk, unary_op_definition = 'a⨀⨒ = { ((a⪘⫢a)⊔(a⪘⫢a)) , if a!=184 ; ((a⩧⪆a)∙∹∝a) , else }', output=81684","layer":3},{"info":"number node, value=2541","layer":4},{"info":"compute unary expreesion, input=2541, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-2541","layer":3},{"info":"compute binary expreesion, left_input=81684, right_input=-2541, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=nan","layer":1},{"info":"number node, value=5126","layer":4},{"info":"number node, value=2777","layer":4},{"info":"compute binary expreesion, left_input=5126, right_input=2777, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"number node, value=1546","layer":4},{"info":"number node, value=4075","layer":4},{"info":"compute binary expreesion, left_input=1546, right_input=4075, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-62152","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=-62152, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=62152","layer":2},{"info":"number node, value=2217","layer":4},{"info":"number node, value=5684","layer":4},{"info":"compute binary expreesion, left_input=2217, right_input=5684, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"number node, value=2956","layer":4},{"info":"number node, value=1350","layer":4},{"info":"compute binary expreesion, left_input=2956, right_input=1350, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4306","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=4306, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=62152, right_input=0, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((↽≂≴∭⊉31431)∼≴∭⊉40040⊋≴∭⊉4516)⊮⊟↴((≴∭⊉23456⨀⨒)⪁(≴∭⊉10260⩤))⊍⩺⋍((≴∭⊉20642⫚↹⊑≴∭⊉11045)⊉≛↸≴∭⊉4336∠↢≴∭⊉14611)⇡⇂(≴∭⊉6315⊮⊟↴≴∭⊉22400⪛(≴∭⊉11422+≴∭⊉3636))=NaN","reverse_text":"NaN=((↽≂≴∭⊉31431)∼≴∭⊉40040⊋≴∭⊉4516)⊮⊟↴((≴∭⊉23456⨀⨒)⪁(≴∭⊉10260⩤))⊍⩺⋍((≴∭⊉20642⫚↹⊑≴∭⊉11045)⊉≛↸≴∭⊉4336∠↢≴∭⊉14611)⇡⇂(≴∭⊉6315⊮⊟↴≴∭⊉22400⪛(≴∭⊉11422+≴∭⊉3636))","cot":[{"info":"↽≂≴∭⊉31431=≴∭⊉-63162","layer":3},{"info":"≴∭⊉40040⊋≴∭⊉4516=≴∭⊉2320143162","layer":3},{"info":"≴∭⊉-63162∼≴∭⊉2320143162=NaN","layer":2},{"info":"≴∭⊉23456⨀⨒=≴∭⊉460101","layer":3},{"info":"≴∭⊉10260⩤=≴∭⊉-10260","layer":3},{"info":"≴∭⊉460101⪁≴∭⊉-10260=NaN","layer":2},{"info":"NaN⊮⊟↴NaN=NaN","layer":1},{"info":"≴∭⊉20642⫚↹⊑≴∭⊉11045=≴∭⊉-1206","layer":3},{"info":"≴∭⊉4336∠↢≴∭⊉14611=≴∭⊉-346126","layer":3},{"info":"≴∭⊉-1206⊉≛↸≴∭⊉-346126=≴∭⊉346126","layer":2},{"info":"≴∭⊉6315⊮⊟↴≴∭⊉22400=≴∭⊉0","layer":3},{"info":"≴∭⊉11422+≴∭⊉3636=≴∭⊉15361","layer":3},{"info":"≴∭⊉0⪛≴∭⊉15361=≴∭⊉0","layer":2},{"info":"≴∭⊉346126⇡⇂≴∭⊉0=NaN","layer":1},{"info":"NaN⊍⩺⋍NaN=NaN","layer":0}]}
+{"id":456,"expression_no_base_symbol":"(⋂($4110$≄⊠$1225$⩟))⩣⫁∢(((⋗⩴⪓$7515$)≬⇓$1181$⨚$8041$)↫)","expression":"(⋂(≴∭⊉14661≄⊠≴∭⊉3400⩟))⩣⫁∢(((⋗⩴⪓≴∭⊉30624)≬⇓≴∭⊉3305⨚≴∭⊉32305)↫)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":27655,"operation_count":8,"complexity_ratio":3456.875,"tree":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"unary","operator":"⋂","unary_expr":{"type":"unary","operator":"⩟","unary_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":4110,"base":7},"right_expr":{"type":"numeric_atoms","value":1225,"base":7}}}},"right_expr":{"type":"unary","operator":"���","unary_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"numeric_atoms","value":7515,"base":7}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":1181,"base":7},"right_expr":{"type":"numeric_atoms","value":8041,"base":7}}}}},"used_operators":["JDUIKTTSIa","BUOGQAYlQx","fOIeswaMU4","vXNesLlMH1","uPb5QRN0te","jWTQ2TZYIH","nOKPl9n5zu","nREPSIbpBE"],"dependent_operators":["sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","W4YGzv6Whe","Qy55tPpLXF","8w2t5hMYqp","12rbrZMWeM","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","i8ToyICDmI","2DQ55sFlQl","t8gj7n24qd","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","BjRHVeLaeN","12rbrZMWeM"],"result":"≴∭⊉-102461252","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4110","layer":4},{"info":"number node, value=1225","layer":4},{"info":"compute binary expreesion, left_input=4110, right_input=1225, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=24268","layer":3},{"info":"compute unary expreesion, input=24268, op_id = fOIeswaMU4, unary_op_definition = 'a⩟ = { (⊄⩳↩((a⋳⪒a)+(155⋥≓≎a))) }', output=-217185","layer":2},{"info":"compute unary expreesion, input=-217185, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=3041186","layer":1},{"info":"number node, value=7515","layer":4},{"info":"compute unary expreesion, input=7515, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=-6602","layer":3},{"info":"number node, value=1181","layer":4},{"info":"number node, value=8041","layer":4},{"info":"compute binary expreesion, left_input=1181, right_input=8041, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-28868","layer":3},{"info":"compute binary expreesion, left_input=-6602, right_input=-28868, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=436630294","layer":2},{"info":"compute unary expreesion, input=436630294, op_id = uPb5QRN0te, unary_op_definition = 'a↫ = { (a∲⫓a) , if (-a)>=333 ; (a⨵⪆a) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=3041186, right_input=160, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-6082211","layer":0}],"base":7,"result_base":7,"text":"(⋂(≴∭⊉14661≄⊠≴∭⊉3400⩟))⩣⫁∢(((⋗⩴⪓≴∭⊉30624)≬⇓≴∭⊉3305⨚≴∭⊉32305)↫)=≴∭⊉-102461252","reverse_text":"≴∭⊉-102461252=(⋂(≴∭⊉14661≄⊠≴∭⊉3400⩟))⩣⫁∢(((⋗⩴⪓≴∭⊉30624)≬⇓≴∭⊉3305⨚≴∭⊉32305)↫)","cot":[{"info":"≴∭⊉14661≄⊠≴∭⊉3400=≴∭⊉130516","layer":3},{"info":"≴∭⊉130516⩟=≴∭⊉-1563123","layer":2},{"info":"⋂≴∭⊉-1563123=≴∭⊉34564301","layer":1},{"info":"⋗⩴⪓≴∭⊉30624=≴∭⊉-25151","layer":3},{"info":"≴∭⊉3305⨚≴∭⊉32305=≴∭⊉-150110","layer":3},{"info":"≴∭⊉-25151≬⇓≴∭⊉-150110=≴∭⊉13551203422","layer":2},{"info":"≴∭⊉13551203422↫=≴∭⊉316","layer":1},{"info":"≴∭⊉34564301⩣⫁∢≴∭⊉316=≴∭⊉-102461252","layer":0}]}
+{"id":457,"expression_no_base_symbol":"(($6271$⪒$6235$)⊢)⋥⋵⩄(($6142$⫸⇳$4257$)⪚($1061$∷$1671$))⊢","expression":"((≴∭⊉24166⪒≴∭⊉24115)⊢)⋥⋵⩄((≴∭⊉23623⫸⇳≴∭⊉15261)⪚(≴∭⊉3044∷≴∭⊉4605))⊢","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":73,"operation_count":7,"complexity_ratio":10.428571428571429,"tree":{"type":"unary","operator":"⊢","unary_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"unary","operator":"⊢","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":6271,"base":7},"right_expr":{"type":"numeric_atoms","value":6235,"base":7}}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":6142,"base":7},"right_expr":{"type":"numeric_atoms","value":4257,"base":7}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":1061,"base":7},"right_expr":{"type":"numeric_atoms","value":1671,"base":7}}}}},"used_operators":["40aOVDgCDB","7t3wd0Fuz7","f6k1SAg4EE","HrjLwUk87U","gx7XJ7hdpj","D3AQDKkPcf"],"dependent_operators":["NTOWxs364D","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","9FxExcQeMw","NTOWxs364D","7j4O788W3g"],"result":"≴∭⊉-341645","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6271","layer":4},{"info":"number node, value=6235","layer":4},{"info":"compute binary expreesion, left_input=6271, right_input=6235, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-12506","layer":3},{"info":"compute unary expreesion, input=-12506, op_id = 40aOVDgCDB, unary_op_definition = 'a⊢ = { a , if a<=675 ; (a⩚⊴⇥126) , else }', output=-12506","layer":2},{"info":"number node, value=6142","layer":4},{"info":"number node, value=4257","layer":4},{"info":"compute binary expreesion, left_input=6142, right_input=4257, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"number node, value=1061","layer":4},{"info":"number node, value=1671","layer":4},{"info":"compute binary expreesion, left_input=1061, right_input=1671, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=1671","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1671, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-3698","layer":2},{"info":"compute binary expreesion, left_input=-12506, right_input=-3698, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=60448","layer":1},{"info":"compute unary expreesion, input=60448, op_id = 40aOVDgCDB, unary_op_definition = 'a⊢ = { a , if a<=675 ; (a⩚⊴⇥126) , else }', output=-60695","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉24166⪒≴∭⊉24115)⊢)⋥⋵⩄((≴∭⊉23623⫸⇳≴∭⊉15261)⪚(≴∭⊉3044∷≴∭⊉4605))⊢=≴∭⊉-341645","reverse_text":"≴∭⊉-341645=((≴∭⊉24166⪒≴∭⊉24115)⊢)⋥⋵⩄((≴∭⊉23623⫸⇳≴∭⊉15261)⪚(≴∭⊉3044∷≴∭⊉4605))⊢","cot":[{"info":"≴∭⊉24166⪒≴∭⊉24115=≴∭⊉-51314","layer":3},{"info":"≴∭⊉-51314⊢=≴∭⊉-51314","layer":2},{"info":"≴∭⊉23623⫸⇳≴∭⊉15261=≴∭⊉0","layer":3},{"info":"≴∭⊉3044∷≴∭⊉4605=≴∭⊉4605","layer":3},{"info":"≴∭⊉0⪚≴∭⊉4605=≴∭⊉-13532","layer":2},{"info":"≴∭⊉-51314⋥⋵⩄≴∭⊉-13532=≴∭⊉341143","layer":1},{"info":"≴∭⊉341143⊢=≴∭⊉-341645","layer":0}]}
+{"id":458,"expression_no_base_symbol":"(($2695$⫩)∠↢($3103$≦≮≮))∳⫺((⋗⩬⋾$4003$)∌↝$3272$⫁$1707$)⊉↱≁(⨩∲⋌(⪹($1051$⪁$3139$)))","expression":"((≴∭⊉10600⫩)∠↢(≴∭⊉12022≦≮≮))∳⫺((⋗⩬⋾≴∭⊉14446)∌↝≴∭⊉12353⫁≴∭⊉4656)⊉↱≁(⨩∲⋌(⪹(≴∭⊉3031⪁≴∭⊉12103)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":100919224,"operation_count":11,"complexity_ratio":9174474.909090908,"tree":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"unary","operator":"⫩","unary_expr":{"type":"numeric_atoms","value":2695,"base":7}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":3103,"base":7}}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":4003,"base":7}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":3272,"base":7},"right_expr":{"type":"numeric_atoms","value":1707,"base":7}}}},"right_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":1051,"base":7},"right_expr":{"type":"numeric_atoms","value":3139,"base":7}}}}},"used_operators":["w2P8NbNXyL","AzXXKTstlj","KbjG8mgYpV","6aG7x05OhS","D4vGDi5EA2","9Isq31Ruls","DpFCA1CohY","0ajvFaJAv0","aSik1wnThz","USyYr0JgAa","I7sXao9hZE"],"dependent_operators":["9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","cHh1gJQ2o6","AHs5Up7iyr","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","tifHPKVTfV","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2695","layer":4},{"info":"compute unary expreesion, input=2695, op_id = 6aG7x05OhS, unary_op_definition = 'a⫩ = { (a⪢a) }', output=nan","layer":3},{"info":"number node, value=3103","layer":4},{"info":"compute unary expreesion, input=3103, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-9309","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-9309, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=nan","layer":2},{"info":"number node, value=4003","layer":4},{"info":"compute unary expreesion, input=4003, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-12009","layer":3},{"info":"number node, value=3272","layer":4},{"info":"number node, value=1707","layer":4},{"info":"compute binary expreesion, left_input=3272, right_input=1707, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-12009, right_input=160, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=-480","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-480, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":1},{"info":"number node, value=1051","layer":4},{"info":"number node, value=3139","layer":4},{"info":"compute binary expreesion, left_input=1051, right_input=3139, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-260, right_input=nan, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉10600⫩)∠↢(≴∭⊉12022≦≮≮))∳⫺((⋗⩬⋾≴∭⊉14446)∌↝≴∭⊉12353⫁≴∭⊉4656)⊉↱≁(⨩∲⋌(⪹(≴∭⊉3031⪁≴∭⊉12103)))=NaN","reverse_text":"NaN=((≴∭⊉10600⫩)∠↢(≴∭⊉12022≦≮≮))∳⫺((⋗⩬⋾≴∭⊉14446)∌↝≴∭⊉12353⫁≴∭⊉4656)⊉↱≁(⨩∲⋌(⪹(≴∭⊉3031⪁≴∭⊉12103)))","cot":[{"info":"≴∭⊉10600⫩=NaN","layer":3},{"info":"≴∭⊉12022≦≮≮=≴∭⊉-36066","layer":3},{"info":"NaN∠↢≴∭⊉-36066=NaN","layer":2},{"info":"⋗⩬⋾≴∭⊉14446=≴∭⊉-50004","layer":3},{"info":"≴∭⊉12353⫁≴∭⊉4656=≴∭⊉316","layer":3},{"info":"≴∭⊉-50004∌↝≴∭⊉316=≴∭⊉-1254","layer":2},{"info":"NaN∳⫺≴∭⊉-1254=≴∭⊉-521","layer":1},{"info":"≴∭⊉3031⪁≴∭⊉12103=NaN","layer":3},{"info":"⪹NaN=NaN","layer":2},{"info":"⨩∲⋌NaN=NaN","layer":1},{"info":"≴∭⊉-521⊉↱≁NaN=NaN","layer":0}]}
+{"id":459,"expression_no_base_symbol":"((($3436$⪒$1847$)⩤)⪹)⨜⨶((($2839$≚⋢)≠≀$2493$⫯⪬∳$3767$)⨟⋌⩍(($2853$⨉)≣⋋))","expression":"(((≴∭⊉13006⪒≴∭⊉5246)⩤)⪹)⨜⨶(((≴∭⊉11164≚⋢)≠≀≴∭⊉10161⫯⪬∳≴∭⊉13661)⨟⋌⩍((≴∭⊉11214⨉)≣⋋))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3532,"operation_count":10,"complexity_ratio":353.2,"tree":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3436,"base":7},"right_expr":{"type":"numeric_atoms","value":1847,"base":7}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"unary","operator":"≚⋢","unary_expr":{"type":"numeric_atoms","value":2839,"base":7}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":2493,"base":7},"right_expr":{"type":"numeric_atoms","value":3767,"base":7}}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"unary","operator":"⨉","unary_expr":{"type":"numeric_atoms","value":2853,"base":7}}}}},"used_operators":["HiPekx5b7W","B3sABdIn96","Z2TMIBDE3Q","f6k1SAg4EE","rGHVDoGpnC","IwW236VD4Y","MahUMFw56D","d7ASUq0ydm","Tcnh7f0tEr","aMUSaJuDRU"],"dependent_operators":["N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","9FxExcQeMw","e1ybzncUwg","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","3ViojmjbAp","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","tmPS8pqC7x","g55IO6H4Gj","qWUSsah53b"],"result":"≴∭⊉1211521","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3436","layer":4},{"info":"number node, value=1847","layer":4},{"info":"compute binary expreesion, left_input=3436, right_input=1847, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5283","layer":3},{"info":"compute unary expreesion, input=-5283, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=5283","layer":2},{"info":"compute unary expreesion, input=5283, op_id = B3sABdIn96, unary_op_definition = 'a⪹ = { ((402⫡⨏a)⩷∴(≉a)) }', output=15058","layer":1},{"info":"number node, value=2839","layer":4},{"info":"compute unary expreesion, input=2839, op_id = MahUMFw56D, unary_op_definition = 'a≚⋢ = { (a⨓86) }', output=-89","layer":3},{"info":"number node, value=2493","layer":4},{"info":"number node, value=3767","layer":4},{"info":"compute binary expreesion, left_input=2493, right_input=3767, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=8731","layer":3},{"info":"compute binary expreesion, left_input=-89, right_input=8731, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=484","layer":2},{"info":"number node, value=2853","layer":4},{"info":"compute unary expreesion, input=2853, op_id = aMUSaJuDRU, unary_op_definition = 'a⨉ = { ((⫡⇟⇯148)⨸⪁(a⨪↰⇹a)) }', output=8034","layer":3},{"info":"compute unary expreesion, input=8034, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=484, right_input=0, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=484","layer":1},{"info":"compute binary expreesion, left_input=15058, right_input=484, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=154267","layer":0}],"base":7,"result_base":7,"text":"(((≴∭⊉13006⪒≴∭⊉5246)⩤)⪹)⨜⨶(((≴∭⊉11164≚⋢)≠≀≴∭⊉10161⫯⪬∳≴∭⊉13661)⨟⋌⩍((≴∭⊉11214⨉)≣⋋))=≴∭⊉1211521","reverse_text":"≴∭⊉1211521=(((≴∭⊉13006⪒≴∭⊉5246)⩤)⪹)⨜⨶(((≴∭⊉11164≚⋢)≠≀≴∭⊉10161⫯⪬∳≴∭⊉13661)⨟⋌⩍((≴∭⊉11214⨉)≣⋋))","cot":[{"info":"≴∭⊉13006⪒≴∭⊉5246=≴∭⊉-21255","layer":3},{"info":"≴∭⊉-21255⩤=≴∭⊉21255","layer":2},{"info":"≴∭⊉21255⪹=≴∭⊉61621","layer":1},{"info":"≴∭⊉11164≚⋢=≴∭⊉-155","layer":3},{"info":"≴∭⊉10161⫯⪬∳≴∭⊉13661=≴∭⊉34312","layer":3},{"info":"≴∭⊉-155≠≀≴∭⊉34312=≴∭⊉1261","layer":2},{"info":"≴∭⊉11214⨉=≴∭⊉32265","layer":3},{"info":"≴∭⊉32265≣⋋=≴∭⊉0","layer":2},{"info":"≴∭⊉1261⨟⋌⩍≴∭⊉0=≴∭⊉1261","layer":1},{"info":"≴∭⊉61621⨜⨶≴∭⊉1261=≴∭⊉1211521","layer":0}]}
+{"id":460,"expression_no_base_symbol":"⫟(⨣⨃⇪($1077$∷$2987$⫚↹⊑$4616$⫰⋱$2629$))","expression":"⫟(⨣⨃⇪(≴∭⊉3066∷≴∭⊉11465⫚↹⊑≴∭⊉16313⫰⋱≴∭⊉10444))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":76,"operation_count":5,"complexity_ratio":15.2,"tree":{"type":"unary","operator":"⫟","unary_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":1077,"base":7},"right_expr":{"type":"numeric_atoms","value":2987,"base":7}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":4616,"base":7},"right_expr":{"type":"numeric_atoms","value":2629,"base":7}}}}},"used_operators":["z4E1FaHLuy","AcOhelriW5","dfKe02y8D2","D3AQDKkPcf","6o9Blt3TJ6"],"dependent_operators":["9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","9FxExcQeMw","NTOWxs364D","7j4O788W3g","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF"],"result":"≴∭⊉-12434","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1077","layer":4},{"info":"number node, value=2987","layer":4},{"info":"compute binary expreesion, left_input=1077, right_input=2987, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=2987","layer":3},{"info":"number node, value=4616","layer":4},{"info":"number node, value=2629","layer":4},{"info":"compute binary expreesion, left_input=4616, right_input=2629, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-4583","layer":3},{"info":"compute binary expreesion, left_input=2987, right_input=-4583, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"compute unary expreesion, input=-447, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":1},{"info":"compute unary expreesion, input=1405, op_id = z4E1FaHLuy, unary_op_definition = '⫟a = { (((-a)⪨≂(a⨸⪁a))≧⫂∧((a⩷∴a)⨰(a⫡⨏a))) , if (a⫌⩹⨱)>=11 ; (((a+263)⋝⋈⪟(a⨳⩥⨓a))⪒((a⋥≓≎a)⫩⊇)) , else }', output=-3308","layer":0}],"base":7,"result_base":7,"text":"⫟(⨣⨃⇪(≴∭⊉3066∷≴∭⊉11465⫚↹⊑≴∭⊉16313⫰⋱≴∭⊉10444))=≴∭⊉-12434","reverse_text":"≴∭⊉-12434=⫟(⨣⨃⇪(≴∭⊉3066∷≴∭⊉11465⫚↹⊑≴∭⊉16313⫰⋱≴∭⊉10444))","cot":[{"info":"≴∭⊉3066∷≴∭⊉11465=≴∭⊉11465","layer":3},{"info":"≴∭⊉16313⫰⋱≴∭⊉10444=≴∭⊉-16235","layer":3},{"info":"≴∭⊉11465⫚↹⊑≴∭⊉-16235=≴∭⊉-1206","layer":2},{"info":"⨣⨃⇪≴∭⊉-1206=≴∭⊉4045","layer":1},{"info":"⫟≴∭⊉4045=≴∭⊉-12434","layer":0}]}
+{"id":461,"expression_no_base_symbol":"(($1760$⫣⪄⊒$1465$≬⋮(⩪∧⨌$1818$))⫢⨠($3951$↙$1311$)⫘($1197$⩧⪆$1142$))⫉⨲⊜(((-$3357$)∲⫓$8281$⩨$1948$)⇮⋭($4399$⪨≂$3261$)⪔⊥($2590$⪎⩰))","expression":"((≴∭⊉5063⫣⪄⊒≴∭⊉4162≬⋮(⩪∧⨌≴∭⊉5205))⫢⨠(≴∭⊉14343↙≴∭⊉3552)⫘(≴∭⊉3330⩧⪆≴∭⊉3221))⫉⨲⊜(((-≴∭⊉12534)∲⫓≴∭⊉33100⩨≴∭⊉5452)⇮⋭(≴∭⊉15553⪨≂≴∭⊉12336)⪔⊥(≴∭⊉10360⪎⩰))","highest_n_order":3,"priority_hierarchical_complexity":12,"normalized_expansion_degree":5674,"operation_count":15,"complexity_ratio":378.26666666666665,"tree":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":1760,"base":7},"right_expr":{"type":"numeric_atoms","value":1465,"base":7}},"right_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"numeric_atoms","value":1818,"base":7}}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3951,"base":7},"right_expr":{"type":"numeric_atoms","value":1311,"base":7}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":1197,"base":7},"right_expr":{"type":"numeric_atoms","value":1142,"base":7}}}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":3357,"base":7}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":8281,"base":7},"right_expr":{"type":"numeric_atoms","value":1948,"base":7}}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":4399,"base":7},"right_expr":{"type":"numeric_atoms","value":3261,"base":7}},"right_expr":{"type":"unary","operator":"⪎⩰","unary_expr":{"type":"numeric_atoms","value":2590,"base":7}}}}},"used_operators":["WhqkvtTD3t","xlXykHWxX1","kbkesczE7y","RabNbG55vr","6iOiAJX1F8","48vC8HMD2b","yyfyN0ffXY","Ikt5ks8PT7","vkpjKywKVM","i8ToyICDmI","t8gj7n24qd","2DlMacCsIx","HJ9erzHUuu","sdazOOVcIp","2ufhKmSs5H"],"dependent_operators":["eewbuw0ToL","zVYPLywUTj","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","tmPS8pqC7x","DpFCA1CohY","eewbuw0ToL","t8gj7n24qd","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","DpFCA1CohY","N41Kp7NANJ","sdazOOVcIp","EBcxylXtPf","f6k1SAg4EE","COABgblf1C"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1760","layer":4},{"info":"number node, value=1465","layer":4},{"info":"compute binary expreesion, left_input=1760, right_input=1465, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-5782","layer":3},{"info":"number node, value=1818","layer":4},{"info":"compute unary expreesion, input=1818, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=18180","layer":3},{"info":"compute binary expreesion, left_input=-5782, right_input=18180, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":2},{"info":"number node, value=3951","layer":4},{"info":"number node, value=1311","layer":4},{"info":"compute binary expreesion, left_input=3951, right_input=1311, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3933","layer":3},{"info":"number node, value=1197","layer":4},{"info":"number node, value=1142","layer":4},{"info":"compute binary expreesion, left_input=1197, right_input=1142, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-1142","layer":3},{"info":"compute binary expreesion, left_input=-3933, right_input=-1142, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=4629613","layer":2},{"info":"compute binary expreesion, left_input=868, right_input=4629613, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":1},{"info":"number node, value=3357","layer":4},{"info":"compute unary expreesion, input=3357, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-3357","layer":3},{"info":"number node, value=8281","layer":4},{"info":"number node, value=1948","layer":4},{"info":"compute binary expreesion, left_input=8281, right_input=1948, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-3357, right_input=0, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-3357","layer":2},{"info":"number node, value=4399","layer":4},{"info":"number node, value=3261","layer":4},{"info":"compute binary expreesion, left_input=4399, right_input=3261, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=2378","layer":3},{"info":"number node, value=2590","layer":4},{"info":"compute unary expreesion, input=2590, op_id = 2ufhKmSs5H, unary_op_definition = 'a⪎⩰ = { (17≋⫹) , if a>=326 and a!=597 ; (((a⪒a)⫌⩹⨱)⊭↱(⋗⩬⋾(756⪨≂a))) , else }', output=-34","layer":3},{"info":"compute binary expreesion, left_input=2378, right_input=-34, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=-1579","layer":2},{"info":"compute binary expreesion, left_input=-3357, right_input=-1579, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=67, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉5063⫣⪄⊒≴∭⊉4162≬⋮(⩪∧⨌≴∭⊉5205))⫢⨠(≴∭⊉14343↙≴∭⊉3552)⫘(≴∭⊉3330⩧⪆≴∭⊉3221))⫉⨲⊜(((-≴∭⊉12534)∲⫓≴∭⊉33100⩨≴∭⊉5452)⇮⋭(≴∭⊉15553⪨≂≴∭⊉12336)⪔⊥(≴∭⊉10360⪎⩰))=≴∭⊉0","reverse_text":"≴∭⊉0=((≴∭⊉5063⫣⪄⊒≴∭⊉4162≬⋮(⩪∧⨌≴∭⊉5205))⫢⨠(≴∭⊉14343↙≴∭⊉3552)⫘(≴∭⊉3330⩧⪆≴∭⊉3221))⫉⨲⊜(((-≴∭⊉12534)∲⫓≴∭⊉33100⩨≴∭⊉5452)⇮⋭(≴∭⊉15553⪨≂≴∭⊉12336)⪔⊥(≴∭⊉10360⪎⩰))","cot":[{"info":"≴∭⊉5063⫣⪄⊒≴∭⊉4162=≴∭⊉-22600","layer":3},{"info":"⩪∧⨌≴∭⊉5205=≴∭⊉104001","layer":3},{"info":"≴∭⊉-22600≬⋮≴∭⊉104001=≴∭⊉2350","layer":2},{"info":"≴∭⊉14343↙≴∭⊉3552=≴∭⊉-14316","layer":3},{"info":"≴∭⊉3330⩧⪆≴∭⊉3221=≴∭⊉-3221","layer":3},{"info":"≴∭⊉-14316⫘≴∭⊉-3221=≴∭⊉54231262","layer":2},{"info":"≴∭⊉2350⫢⨠≴∭⊉54231262=≴∭⊉316","layer":1},{"info":"-≴∭⊉12534=≴∭⊉-12534","layer":3},{"info":"≴∭⊉33100⩨≴∭⊉5452=≴∭⊉0","layer":3},{"info":"≴∭⊉-12534∲⫓≴∭⊉0=≴∭⊉-12534","layer":2},{"info":"≴∭⊉15553⪨≂≴∭⊉12336=≴∭⊉6635","layer":3},{"info":"≴∭⊉10360⪎⩰=≴∭⊉-46","layer":3},{"info":"≴∭⊉6635⪔⊥≴∭⊉-46=≴∭⊉-4414","layer":2},{"info":"≴∭⊉-12534⇮⋭≴∭⊉-4414=≴∭⊉124","layer":1},{"info":"≴∭⊉316⫉⨲⊜≴∭⊉124=≴∭⊉0","layer":0}]}
+{"id":462,"expression_no_base_symbol":"((≀↧⇸($1936$⩒⫫$4576$))⪡($5151$⩚⊴⇥$6051$)∣($1769$⪭$4088$))∣(($1265$⫸⊐$1007$)⨿($1863$≹⇙⪍$4100$)∖(↽≂$1994$)↱$6939$⩁⩘$2057$)","expression":"((≀↧⇸(≴∭⊉5434⩒⫫≴∭⊉16225))⪡(≴∭⊉21006⩚⊴⇥≴∭⊉23433)∣(≴∭⊉5105⪭≴∭⊉14630))∣((≴∭⊉3455⫸⊐≴∭⊉2636)⨿(≴∭⊉5301≹⇙⪍≴∭⊉14645)∖(↽≂≴∭⊉5546)↱≴∭⊉26142⩁⩘≴∭⊉5666)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":571,"operation_count":14,"complexity_ratio":40.785714285714285,"tree":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":1936,"base":7},"right_expr":{"type":"numeric_atoms","value":4576,"base":7}}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":5151,"base":7},"right_expr":{"type":"numeric_atoms","value":6051,"base":7}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":1769,"base":7},"right_expr":{"type":"numeric_atoms","value":4088,"base":7}}}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1265,"base":7},"right_expr":{"type":"numeric_atoms","value":1007,"base":7}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1863,"base":7},"right_expr":{"type":"numeric_atoms","value":4100,"base":7}}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1994,"base":7}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":6939,"base":7},"right_expr":{"type":"numeric_atoms","value":2057,"base":7}}}}},"used_operators":["PPChnnnBFF","oraRL2iQuh","ljTHtUsqzn","KFSx94NKJn","NTOWxs364D","j9kHMeSvPp","tXD093vOjl","abYXlopdE0","mqXw5SEYmG","AHs5Up7iyr","SR5kFfdi6N","u6S6b8DprG","gub5Cegaqo"],"dependent_operators":["eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","XPYlsWDdGa","23Mk6UjR3U","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","COABgblf1C","xUOZtlo3hN","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","DpFCA1CohY","IWmyXbctLI"],"result":"≴∭⊉2323","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1936","layer":4},{"info":"number node, value=4576","layer":4},{"info":"compute binary expreesion, left_input=1936, right_input=4576, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=1634","layer":3},{"info":"compute unary expreesion, input=1634, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=3268","layer":2},{"info":"number node, value=5151","layer":4},{"info":"number node, value=6051","layer":4},{"info":"compute binary expreesion, left_input=5151, right_input=6051, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-11323","layer":3},{"info":"number node, value=1769","layer":4},{"info":"number node, value=4088","layer":4},{"info":"compute binary expreesion, left_input=1769, right_input=4088, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"compute binary expreesion, left_input=-11323, right_input=5, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=11807","layer":2},{"info":"compute binary expreesion, left_input=3268, right_input=11807, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":1},{"info":"number node, value=1265","layer":4},{"info":"number node, value=1007","layer":4},{"info":"compute binary expreesion, left_input=1265, right_input=1007, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=3903","layer":3},{"info":"number node, value=1863","layer":4},{"info":"number node, value=4100","layer":4},{"info":"compute binary expreesion, left_input=1863, right_input=4100, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3903, right_input=nan, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":2},{"info":"number node, value=1994","layer":4},{"info":"compute unary expreesion, input=1994, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-3988","layer":3},{"info":"number node, value=6939","layer":4},{"info":"number node, value=2057","layer":4},{"info":"compute binary expreesion, left_input=6939, right_input=2057, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=9176","layer":3},{"info":"compute binary expreesion, left_input=-3988, right_input=9176, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-27006","layer":2},{"info":"compute binary expreesion, left_input=-319, right_input=-27006, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=107, right_input=0, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=850","layer":0}],"base":7,"result_base":7,"text":"((≀↧⇸(≴∭⊉5434⩒⫫≴∭⊉16225))⪡(≴∭⊉21006⩚⊴⇥≴∭⊉23433)∣(≴∭⊉5105⪭≴∭⊉14630))∣((≴∭⊉3455⫸⊐≴∭⊉2636)⨿(≴∭⊉5301≹⇙⪍≴∭⊉14645)∖(↽≂≴∭⊉5546)↱≴∭⊉26142⩁⩘≴∭⊉5666)=≴∭⊉2323","reverse_text":"≴∭⊉2323=((≀↧⇸(≴∭⊉5434⩒⫫≴∭⊉16225))⪡(≴∭⊉21006⩚⊴⇥≴∭⊉23433)∣(≴∭⊉5105⪭≴∭⊉14630))∣((≴∭⊉3455⫸⊐≴∭⊉2636)⨿(≴∭⊉5301≹⇙⪍≴∭⊉14645)∖(↽≂≴∭⊉5546)↱≴∭⊉26142⩁⩘≴∭⊉5666)","cot":[{"info":"≴∭⊉5434⩒⫫≴∭⊉16225=≴∭⊉4523","layer":3},{"info":"≀↧⇸≴∭⊉4523=≴∭⊉12346","layer":2},{"info":"≴∭⊉21006⩚⊴⇥≴∭⊉23433=≴∭⊉-45004","layer":3},{"info":"≴∭⊉5105⪭≴∭⊉14630=≴∭⊉5","layer":3},{"info":"≴∭⊉-45004∣≴∭⊉5=≴∭⊉46265","layer":2},{"info":"≴∭⊉12346⪡≴∭⊉46265=≴∭⊉212","layer":1},{"info":"≴∭⊉3455⫸⊐≴∭⊉2636=≴∭⊉14244","layer":3},{"info":"≴∭⊉5301≹⇙⪍≴∭⊉14645=NaN","layer":3},{"info":"≴∭⊉14244⨿NaN=≴∭⊉-634","layer":2},{"info":"↽≂≴∭⊉5546=≴∭⊉-14425","layer":3},{"info":"≴∭⊉26142⩁⩘≴∭⊉5666=≴∭⊉35516","layer":3},{"info":"≴∭⊉-14425↱≴∭⊉35516=≴∭⊉-141510","layer":2},{"info":"≴∭⊉-634∖≴∭⊉-141510=≴∭⊉0","layer":1},{"info":"≴∭⊉212∣≴∭⊉0=≴∭⊉2323","layer":0}]}
+{"id":463,"expression_no_base_symbol":"(((⊽$1955$)⫃⨇$4131$∳⫺$6801$)⊝⪿⪼(≛$1669$⫉⨲⊜$1164$))⨽∌(≱⇩⩕($7169$⋕⪉⪜$2353$)⇂≾⫗($1074$⫘$6242$))","expression":"(((⊽≴∭⊉5462)⫃⨇≴∭⊉15021∳⫺≴∭⊉25554)⊝⪿⪼(≛≴∭⊉4603⫉⨲⊜≴∭⊉3252))⨽∌(≱⇩⩕(≴∭⊉26621⋕⪉⪜≴∭⊉6601)⇂≾⫗(≴∭⊉3063⫘≴∭⊉24125))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1624,"operation_count":11,"complexity_ratio":147.63636363636363,"tree":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"numeric_atoms","value":1955,"base":7}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":4131,"base":7},"right_expr":{"type":"numeric_atoms","value":6801,"base":7}}},"right_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":1669,"base":7},"right_expr":{"type":"numeric_atoms","value":1164,"base":7}}}},"right_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":7169,"base":7},"right_expr":{"type":"numeric_atoms","value":2353,"base":7}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":1074,"base":7},"right_expr":{"type":"numeric_atoms","value":6242,"base":7}}}}},"used_operators":["9samAPKr6k","3Oe9XWJUTD","09Ly4LVMIf","QxG7OkqoLX","AzXXKTstlj","W7eaUhjymW","WhqkvtTD3t","3DZMoQKiUl","aBQ6xLxuTc","z6LnFrNh4i","48vC8HMD2b"],"dependent_operators":["YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","eewbuw0ToL","zVYPLywUTj","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1955","layer":4},{"info":"compute unary expreesion, input=1955, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=5432","layer":3},{"info":"number node, value=4131","layer":4},{"info":"number node, value=6801","layer":4},{"info":"compute binary expreesion, left_input=4131, right_input=6801, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":3},{"info":"compute binary expreesion, left_input=5432, right_input=-260, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=1008","layer":2},{"info":"number node, value=1669","layer":4},{"info":"number node, value=1164","layer":4},{"info":"compute binary expreesion, left_input=1669, right_input=1164, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = W7eaUhjymW, unary_op_definition = '≛a = { (((a+a)⊉≛↸(a⪠⩆⊳))⊭↱((a⪒a)⩚⊴⇥(a⋝⋈⪟a))) , if (a⫩⊇)>7 or a==273 ; (((a-a)⪒(a⪨≂a))⊉≛↸((a⨰a)⋝⋈⪟(a+a))) , else }', output=-237","layer":2},{"info":"compute binary expreesion, left_input=1008, right_input=-237, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=23422","layer":1},{"info":"number node, value=7169","layer":4},{"info":"number node, value=2353","layer":4},{"info":"compute binary expreesion, left_input=7169, right_input=2353, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":3},{"info":"number node, value=1074","layer":4},{"info":"number node, value=6242","layer":4},{"info":"compute binary expreesion, left_input=1074, right_input=6242, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=1267429","layer":3},{"info":"compute binary expreesion, left_input=2802, right_input=1267429, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":2},{"info":"compute unary expreesion, input=-676, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=5342","layer":1},{"info":"compute binary expreesion, left_input=23422, right_input=5342, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":0}],"base":7,"result_base":7,"text":"(((⊽≴∭⊉5462)⫃⨇≴∭⊉15021∳⫺≴∭⊉25554)⊝⪿⪼(≛≴∭⊉4603⫉⨲⊜≴∭⊉3252))⨽∌(≱⇩⩕(≴∭⊉26621⋕⪉⪜≴∭⊉6601)⇂≾⫗(≴∭⊉3063⫘≴∭⊉24125))=≴∭⊉0","reverse_text":"≴∭⊉0=(((⊽≴∭⊉5462)⫃⨇≴∭⊉15021∳⫺≴∭⊉25554)⊝⪿⪼(≛≴∭⊉4603⫉⨲⊜≴∭⊉3252))⨽∌(≱⇩⩕(≴∭⊉26621⋕⪉⪜≴∭⊉6601)⇂≾⫗(≴∭⊉3063⫘≴∭⊉24125))","cot":[{"info":"⊽≴∭⊉5462=≴∭⊉21560","layer":3},{"info":"≴∭⊉15021∳⫺≴∭⊉25554=≴∭⊉-521","layer":3},{"info":"≴∭⊉21560⫃⨇≴∭⊉-521=≴∭⊉2640","layer":2},{"info":"≴∭⊉4603⫉⨲⊜≴∭⊉3252=≴∭⊉0","layer":3},{"info":"≛≴∭⊉0=≴∭⊉-456","layer":2},{"info":"≴∭⊉2640⊝⪿⪼≴∭⊉-456=≴∭⊉125200","layer":1},{"info":"≴∭⊉26621⋕⪉⪜≴∭⊉6601=≴∭⊉11112","layer":3},{"info":"≴∭⊉3063⫘≴∭⊉24125=≴∭⊉13526062","layer":3},{"info":"≴∭⊉11112⇂≾⫗≴∭⊉13526062=≴∭⊉-1654","layer":2},{"info":"≱⇩⩕≴∭⊉-1654=≴∭⊉21401","layer":1},{"info":"≴∭⊉125200⨽∌≴∭⊉21401=≴∭⊉0","layer":0}]}
+{"id":464,"expression_no_base_symbol":"⫟$8866$⨔⇊$5710$∌↝$3930$≎⪠$1119$⇷(��⊎⋝($2886$⪒$6487$))","expression":"⫟≴∭⊉34564⨔⇊≴∭⊉22435∌↝≴∭⊉14313≎⪠≴∭⊉3156⇷(⇋⊎⋝(≴∭⊉11262⪒≴∭⊉24625))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":28520,"operation_count":7,"complexity_ratio":4074.285714285714,"tree":{"type":"unary","operator":"⫟","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":8866,"base":7},"right_expr":{"type":"numeric_atoms","value":5710,"base":7}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":3930,"base":7},"right_expr":{"type":"numeric_atoms","value":1119,"base":7}}},"right_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2886,"base":7},"right_expr":{"type":"numeric_atoms","value":6487,"base":7}}}}},"used_operators":["z4E1FaHLuy","mp7IySMOzn","9Isq31Ruls","JclMnS0uGI","aNhz54LH3e","CzM2PEoXns","f6k1SAg4EE"],"dependent_operators":["9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=8866","layer":4},{"info":"number node, value=5710","layer":4},{"info":"compute binary expreesion, left_input=8866, right_input=5710, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=5710","layer":3},{"info":"number node, value=3930","layer":4},{"info":"number node, value=1119","layer":4},{"info":"compute binary expreesion, left_input=3930, right_input=1119, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"compute binary expreesion, left_input=5710, right_input=19558, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":2},{"info":"number node, value=2886","layer":4},{"info":"number node, value=6487","layer":4},{"info":"compute binary expreesion, left_input=2886, right_input=6487, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-9373","layer":3},{"info":"compute unary expreesion, input=-9373, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = z4E1FaHLuy, unary_op_definition = '⫟a = { (((-a)⪨≂(a⨸⪁a))≧⫂∧((a⩷∴a)⨰(a⫡⨏a))) , if (a⫌⩹⨱)>=11 ; (((a+263)⋝⋈⪟(a⨳⩥⨓a))⪒((a⋥≓≎a)⫩⊇)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"⫟≴∭⊉34564⨔⇊≴∭⊉22435∌↝≴∭⊉14313≎⪠≴∭⊉3156⇷(⇋⊎⋝(≴∭⊉11262⪒≴∭⊉24625))=NaN","reverse_text":"NaN=⫟≴∭⊉34564⨔⇊≴∭⊉22435∌↝≴∭⊉14313≎⪠≴∭⊉3156⇷(⇋⊎⋝(≴∭⊉11262⪒≴∭⊉24625))","cot":[{"info":"≴∭⊉34564⨔⇊≴∭⊉22435=≴∭⊉22435","layer":3},{"info":"≴∭⊉14313≎⪠≴∭⊉3156=≴∭⊉111010","layer":3},{"info":"≴∭⊉22435∌↝≴∭⊉111010=≴∭⊉0","layer":2},{"info":"≴∭⊉11262⪒≴∭⊉24625=≴∭⊉-36220","layer":3},{"info":"⇋⊎⋝≴∭⊉-36220=NaN","layer":2},{"info":"≴∭⊉0⇷NaN=NaN","layer":1},{"info":"⫟NaN=NaN","layer":0}]}
+{"id":465,"expression_no_base_symbol":"(($1434$∴$2833$⪄(⨡↴$1307$))∠↢($6992$⊬⨰$1401$)↞⋁($1310$≬⋮$3733$))↳∿⪆((($7325$≓∲$1961$)⫚⫇)⨽(⩏⊷≩($2617$⊍)))","expression":"((≴∭⊉4116∴≴∭⊉11155⪄(⨡↴≴∭⊉3545))∠↢(≴∭⊉26246⊬⨰≴∭⊉4041)↞⋁(≴∭⊉3551≬⋮≴∭⊉13612))↳∿⪆(((≴∭⊉30233≓∲≴∭⊉5501)⫚⫇)⨽(⩏⊷≩(≴∭⊉10426⊍)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":149357,"operation_count":13,"complexity_ratio":11489.0,"tree":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":1434,"base":7},"right_expr":{"type":"numeric_atoms","value":2833,"base":7}},"right_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"numeric_atoms","value":1307,"base":7}}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":6992,"base":7},"right_expr":{"type":"numeric_atoms","value":1401,"base":7}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":1310,"base":7},"right_expr":{"type":"numeric_atoms","value":3733,"base":7}}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⫚⫇","unary_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":7325,"base":7},"right_expr":{"type":"numeric_atoms","value":1961,"base":7}}},"right_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"unary","operator":"⊍","unary_expr":{"type":"numeric_atoms","value":2617,"base":7}}}}},"used_operators":["Cw4SuJJGHO","KbjG8mgYpV","SUmda5xLS4","hrf7POJlIJ","liw5iZPkLH","RqrPlJkxDo","s3Fd5m9Dh2","kbkesczE7y","8HhzD0ZcuI","SdCjLnB6rR","s1XTVnmDOJ","uOZ1tnYMDE","3nqY3DE9mg"],"dependent_operators":["hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","W4YGzv6Whe","P8v4zCKN1o","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","2td37pGCOC","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","23Mk6UjR3U","12rbrZMWeM","8w2t5hMYqp","AF7qkfDlqP","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1434","layer":4},{"info":"number node, value=2833","layer":4},{"info":"compute binary expreesion, left_input=1434, right_input=2833, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=4516","layer":3},{"info":"number node, value=1307","layer":4},{"info":"compute unary expreesion, input=1307, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=2356","layer":3},{"info":"compute binary expreesion, left_input=4516, right_input=2356, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-673881","layer":2},{"info":"number node, value=6992","layer":4},{"info":"number node, value=1401","layer":4},{"info":"compute binary expreesion, left_input=6992, right_input=1401, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=11540","layer":3},{"info":"number node, value=1310","layer":4},{"info":"number node, value=3733","layer":4},{"info":"compute binary expreesion, left_input=1310, right_input=3733, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=11540, right_input=868, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-673881, right_input=nan, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=nan","layer":1},{"info":"number node, value=7325","layer":4},{"info":"number node, value=1961","layer":4},{"info":"compute binary expreesion, left_input=7325, right_input=1961, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=74033","layer":3},{"info":"compute unary expreesion, input=74033, op_id = SdCjLnB6rR, unary_op_definition = 'a⫚⫇ = { ((⨞⊢87)⨸⪁((⩦⩻⨪a)≧⫂∧a)) }', output=146598","layer":2},{"info":"number node, value=2617","layer":4},{"info":"compute unary expreesion, input=2617, op_id = 3nqY3DE9mg, unary_op_definition = 'a⊍ = { (⊄⩳↩(⨑⩽⪐(a⋳⪒a))) }', output=6171","layer":3},{"info":"compute unary expreesion, input=6171, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=12041","layer":2},{"info":"compute binary expreesion, left_input=146598, right_input=12041, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-inf","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-inf, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉4116∴≴∭⊉11155⪄(⨡↴≴∭⊉3545))∠↢(≴∭⊉26246⊬⨰≴∭⊉4041)↞⋁(≴∭⊉3551≬⋮≴∭⊉13612))↳∿⪆(((≴∭⊉30233≓∲≴∭⊉5501)⫚⫇)⨽(⩏⊷≩(≴∭⊉10426⊍)))=NaN","reverse_text":"NaN=((≴∭⊉4116∴≴∭⊉11155⪄(⨡↴≴∭⊉3545))∠↢(≴∭⊉26246⊬⨰≴∭⊉4041)↞⋁(≴∭⊉3551≬⋮≴∭⊉13612))↳∿⪆(((≴∭⊉30233≓∲≴∭⊉5501)⫚⫇)⨽(⩏⊷≩(≴∭⊉10426⊍)))","cot":[{"info":"≴∭⊉4116∴≴∭⊉11155=≴∭⊉16111","layer":3},{"info":"⨡↴≴∭⊉3545=≴∭⊉6604","layer":3},{"info":"≴∭⊉16111⪄≴∭⊉6604=≴∭⊉-5504445","layer":2},{"info":"≴∭⊉26246⊬⨰≴∭⊉4041=≴∭⊉45434","layer":3},{"info":"≴∭⊉3551≬⋮≴∭⊉13612=≴∭⊉2350","layer":3},{"info":"≴∭⊉45434↞⋁≴∭⊉2350=NaN","layer":2},{"info":"≴∭⊉-5504445∠↢NaN=NaN","layer":1},{"info":"≴∭⊉30233≓∲≴∭⊉5501=≴∭⊉425561","layer":3},{"info":"≴∭⊉425561⫚⫇=≴∭⊉1150254","layer":2},{"info":"≴∭⊉10426⊍=≴∭⊉23664","layer":3},{"info":"⩏⊷≩≴∭⊉23664=≴∭⊉50051","layer":2},{"info":"≴∭⊉1150254⨽≴∭⊉50051=-Inf","layer":1},{"info":"NaN↳∿⪆-Inf=NaN","layer":0}]}
+{"id":466,"expression_no_base_symbol":"($1584$⪨⊡$2261$≥⨤⩑$2202$≁$1134$⨵⪆($3819$⨳⩥⨓$1143$)⇷$5141$∋$5013$)⪎↠(⊖($6211$∠↢$4139$)⪛⫼$2637$∠↢$1811$)","expression":"(≴∭⊉4422⪨⊡≴∭⊉6410≥⨤⩑≴∭⊉6264≁≴∭⊉3210⨵⪆(≴∭⊉14064⨳⩥⨓≴∭⊉3222)⇷≴∭⊉20663∋≴∭⊉20421)⪎↠(⊖(≴∭⊉24052∠↢≴∭⊉15032)⪛⫼≴∭⊉10455∠↢≴∭⊉5165)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":39407,"operation_count":12,"complexity_ratio":3283.9166666666665,"tree":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":1584,"base":7},"right_expr":{"type":"numeric_atoms","value":2261,"base":7}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":2202,"base":7},"right_expr":{"type":"numeric_atoms","value":1134,"base":7}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3819,"base":7},"right_expr":{"type":"numeric_atoms","value":1143,"base":7}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":5141,"base":7},"right_expr":{"type":"numeric_atoms","value":5013,"base":7}}}},"right_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":6211,"base":7},"right_expr":{"type":"numeric_atoms","value":4139,"base":7}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":2637,"base":7},"right_expr":{"type":"numeric_atoms","value":1811,"base":7}}}}},"used_operators":["3tVxb0NHM4","2DQ55sFlQl","gJLn6v0xnP","kuIXHzHcAH","8N2wDY1A35","mp7IySMOzn","nCS4ZIUYfx","ukq6epAj5P","U6pG0PXrV3","hyuBjUqXlG","KbjG8mgYpV"],"dependent_operators":["P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C"],"result":"≴∭⊉2666","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1584","layer":4},{"info":"number node, value=2261","layer":4},{"info":"compute binary expreesion, left_input=1584, right_input=2261, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=2202","layer":4},{"info":"number node, value=1134","layer":4},{"info":"compute binary expreesion, left_input=2202, right_input=1134, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=14015","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=14015, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":2},{"info":"number node, value=3819","layer":4},{"info":"number node, value=1143","layer":4},{"info":"compute binary expreesion, left_input=3819, right_input=1143, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2676","layer":3},{"info":"number node, value=5141","layer":4},{"info":"number node, value=5013","layer":4},{"info":"compute binary expreesion, left_input=5141, right_input=5013, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=10600596","layer":3},{"info":"compute binary expreesion, left_input=-2676, right_input=10600596, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=21201192","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=21201192, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=6211","layer":4},{"info":"number node, value=4139","layer":4},{"info":"compute binary expreesion, left_input=6211, right_input=4139, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-81708","layer":3},{"info":"number node, value=2637","layer":4},{"info":"number node, value=1811","layer":4},{"info":"compute binary expreesion, left_input=2637, right_input=1811, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-34820","layer":3},{"info":"compute binary expreesion, left_input=-81708, right_input=-34820, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=-1849","layer":2},{"info":"compute unary expreesion, input=-1849, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=5547","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=5547, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=1028","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉4422⪨⊡≴∭⊉6410≥⨤⩑≴∭⊉6264≁≴∭⊉3210⨵⪆(≴∭⊉14064⨳⩥⨓≴∭⊉3222)⇷≴∭⊉20663∋≴∭⊉20421)⪎↠(⊖(≴∭⊉24052∠↢≴∭⊉15032)⪛⫼≴∭⊉10455∠↢≴∭⊉5165)=≴∭⊉2666","reverse_text":"≴∭⊉2666=(≴∭⊉4422⪨⊡≴∭⊉6410≥⨤⩑≴∭⊉6264≁≴∭⊉3210⨵⪆(≴∭⊉14064⨳⩥⨓≴∭⊉3222)⇷≴∭⊉20663∋≴∭⊉20421)⪎↠(⊖(≴∭⊉24052∠↢≴∭⊉15032)⪛⫼≴∭⊉10455∠↢≴∭⊉5165)","cot":[{"info":"≴∭⊉4422⪨⊡≴∭⊉6410=≴∭⊉0","layer":3},{"info":"≴∭⊉6264≁≴∭⊉3210=≴∭⊉55601","layer":3},{"info":"≴∭⊉0≥⨤⩑≴∭⊉55601=≴∭⊉3412","layer":2},{"info":"≴∭⊉14064⨳⩥⨓≴∭⊉3222=≴∭⊉-10542","layer":3},{"info":"≴∭⊉20663∋≴∭⊉20421=≴∭⊉156050346","layer":3},{"info":"≴∭⊉-10542⇷≴∭⊉156050346=≴∭⊉345131025","layer":2},{"info":"≴∭⊉3412⨵⪆≴∭⊉345131025=≴∭⊉316","layer":1},{"info":"≴∭⊉24052∠↢≴∭⊉15032=≴∭⊉-460134","layer":3},{"info":"≴∭⊉10455∠↢≴∭⊉5165=≴∭⊉-203342","layer":3},{"info":"≴∭⊉-460134⪛⫼≴∭⊉-203342=≴∭⊉-5251","layer":2},{"info":"⊖≴∭⊉-5251=≴∭⊉22113","layer":1},{"info":"≴∭⊉316⪎↠≴∭⊉22113=≴∭⊉2666","layer":0}]}
+{"id":467,"expression_no_base_symbol":"((∑⇻≧($1777$≋⫹))⩇∃⫛(($1471$⩉⊫⨁)∠↢$1953$⨭⪣$3830$))⨚(($2869$⨫⇇↔$1438$)⋛$5514$⊬⨰$1532$⫸⇳(($2834$∘$1741$)↯⫤))","expression":"((∑⇻≧(≴∭⊉5116≋⫹))⩇∃⫛((≴∭⊉4201⩉⊫⨁)∠↢≴∭⊉5460⨭⪣≴∭⊉14111))⨚((≴∭⊉11236⨫⇇↔≴∭⊉4123)⋛≴∭⊉22035⊬⨰≴∭⊉4316⫸⇳((≴∭⊉11156∘≴∭⊉5035)↯⫤))","highest_n_order":2,"priority_hierarchical_complexity":10,"normalized_expansion_degree":405,"operation_count":13,"complexity_ratio":31.153846153846153,"tree":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":1777,"base":7}}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"unary","operator":"⩉⊫⨁","unary_expr":{"type":"numeric_atoms","value":1471,"base":7}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":1953,"base":7},"right_expr":{"type":"numeric_atoms","value":3830,"base":7}}}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":2869,"base":7},"right_expr":{"type":"numeric_atoms","value":1438,"base":7}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":5514,"base":7},"right_expr":{"type":"numeric_atoms","value":1532,"base":7}}},"right_expr":{"type":"unary","operator":"↯⫤","unary_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":2834,"base":7},"right_expr":{"type":"numeric_atoms","value":1741,"base":7}}}}},"used_operators":["nREPSIbpBE","1aApVXNlOP","l1M9WJ3V7u","N41Kp7NANJ","KbjG8mgYpV","7qqUquhhSb","kn8WO9XteQ","gx7XJ7hdpj","YbUVn0Rbpy","LXhwmt4mBO","s3Fd5m9Dh2","VwlE7vj6HS","Z5m6OM72h2"],"dependent_operators":["BjRHVeLaeN","12rbrZMWeM","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","7j4O788W3g","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","W4YGzv6Whe","23Mk6UjR3U","tifHPKVTfV","glklzrTFfD","eH2TOUuTDT","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","g55IO6H4Gj","nCS4ZIUYfx","eH2TOUuTDT","rysDP5nf3Z"],"result":"≴∭⊉-166151","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1777","layer":4},{"info":"compute unary expreesion, input=1777, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-3554","layer":3},{"info":"compute unary expreesion, input=-3554, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=3380","layer":2},{"info":"number node, value=1471","layer":4},{"info":"compute unary expreesion, input=1471, op_id = 7qqUquhhSb, unary_op_definition = 'a⩉⊫⨁ = { (331↺a) }', output=1471","layer":3},{"info":"number node, value=1953","layer":4},{"info":"number node, value=3830","layer":4},{"info":"compute binary expreesion, left_input=1953, right_input=3830, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=674","layer":3},{"info":"compute binary expreesion, left_input=1471, right_input=674, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-14238","layer":2},{"info":"compute binary expreesion, left_input=3380, right_input=-14238, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=-17145","layer":1},{"info":"number node, value=2869","layer":4},{"info":"number node, value=1438","layer":4},{"info":"compute binary expreesion, left_input=2869, right_input=1438, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"number node, value=5514","layer":4},{"info":"number node, value=1532","layer":4},{"info":"compute binary expreesion, left_input=5514, right_input=1532, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=10586","layer":3},{"info":"compute binary expreesion, left_input=-527, right_input=10586, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-127503","layer":2},{"info":"number node, value=2834","layer":4},{"info":"number node, value=1741","layer":4},{"info":"compute binary expreesion, left_input=2834, right_input=1741, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=5668","layer":3},{"info":"compute unary expreesion, input=5668, op_id = VwlE7vj6HS, unary_op_definition = 'a↯⫤ = { (((-a)⋝⋈⪟(a⨳⩥⨓a))⨸⪁((a⨁⊸⫻)⇼⇔∾(a+a))) , if (a⋷221)!=277 ; (((300⪐)⨁⊸⫻)⇼⇔∾(a≧⫂∧(26≧⫂∧87))) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-127503, right_input=0, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-17145, right_input=0, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-33356","layer":0}],"base":7,"result_base":7,"text":"((∑⇻≧(��∭⊉5116≋⫹))⩇∃⫛((≴∭⊉4201⩉⊫⨁)∠↢≴∭⊉5460⨭⪣≴∭⊉14111))⨚((≴∭⊉11236⨫⇇↔≴∭⊉4123)⋛≴∭⊉22035⊬⨰≴∭⊉4316⫸⇳((≴∭⊉11156∘≴∭⊉5035)↯⫤))=≴∭⊉-166151","reverse_text":"≴∭⊉-166151=((∑⇻≧(≴∭⊉5116≋⫹))⩇∃⫛((≴∭⊉4201⩉⊫⨁)∠↢≴∭⊉5460⨭⪣≴∭⊉14111))⨚((≴∭⊉11236⨫⇇↔≴∭⊉4123)⋛≴∭⊉22035⊬⨰≴∭⊉4316⫸⇳((≴∭⊉11156∘≴∭⊉5035)↯⫤))","cot":[{"info":"≴∭⊉5116≋⫹=≴∭⊉-13235","layer":3},{"info":"∑⇻≧≴∭⊉-13235=≴∭⊉12566","layer":2},{"info":"≴∭⊉4201⩉⊫⨁=≴∭⊉4201","layer":3},{"info":"≴∭⊉5460⨭⪣≴∭⊉14111=≴∭⊉1652","layer":3},{"info":"≴∭⊉4201∠↢≴∭⊉1652=≴∭⊉-56340","layer":2},{"info":"≴∭⊉12566⩇∃⫛≴∭⊉-56340=≴∭⊉-100662","layer":1},{"info":"≴∭⊉11236⨫⇇↔≴∭⊉4123=≴∭⊉-1352","layer":3},{"info":"≴∭⊉22035⊬⨰≴∭⊉4316=≴∭⊉42602","layer":3},{"info":"≴∭⊉-1352⋛≴∭⊉42602=≴∭⊉-1040505","layer":2},{"info":"≴∭⊉11156∘≴∭⊉5035=≴∭⊉22345","layer":3},{"info":"≴∭⊉22345↯⫤=≴∭⊉0","layer":2},{"info":"≴∭⊉-1040505⫸⇳≴∭⊉0=≴∭⊉0","layer":1},{"info":"≴∭⊉-100662⨚≴∭⊉0=≴∭⊉-166151","layer":0}]}
+{"id":468,"expression_no_base_symbol":"(⨩∲⋌(≘($1503$⫲⨊)))⨐⩸⫘((∜⨇$2072$)⪛⫼$7948$⊬⨰$7950$)↬($1662$⩇∃⫛$1909$↺$1236$⨔≚≋$5208$)","expression":"(⨩∲⋌(≘(≴∭⊉4245⫲⨊)))⨐⩸⫘((∜⨇≴∭⊉6020)⪛⫼≴∭⊉32113⊬⨰≴∭⊉32115)↬(≴∭⊉4563⩇∃⫛≴∭⊉5365↺≴∭⊉3414⨔≚≋≴∭⊉21120)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":418,"operation_count":11,"complexity_ratio":38.0,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"unary","operator":"⫲⨊","unary_expr":{"type":"numeric_atoms","value":1503,"base":7}}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"numeric_atoms","value":2072,"base":7}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":7948,"base":7},"right_expr":{"type":"numeric_atoms","value":7950,"base":7}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":1662,"base":7},"right_expr":{"type":"numeric_atoms","value":1909,"base":7}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":1236,"base":7},"right_expr":{"type":"numeric_atoms","value":5208,"base":7}}}}},"used_operators":["fu6greOZ01","aSik1wnThz","tcjXMdvYtA","CArV6hThFE","B5M0gjZbta","hyuBjUqXlG","uFPyJr306J","s3Fd5m9Dh2","7j4O788W3g","1aApVXNlOP","Z57zeUYC9z"],"dependent_operators":["3ViojmjbAp","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","WmT3o8z6ya","uFcxV4UQCh","2DDjHMKMc0","B3sABdIn96","X99M06cbEe","rGHVDoGpnC","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1503","layer":4},{"info":"compute unary expreesion, input=1503, op_id = CArV6hThFE, unary_op_definition = 'a⫲⨊ = { ((332≫≃)⪹) , if a==35 ; ((a⋘⨑⨽)⋝⋈⪟(a⪛290)) , else }', output=8298","layer":3},{"info":"compute unary expreesion, input=8298, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=18297874","layer":2},{"info":"compute unary expreesion, input=18297874, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-18298397","layer":1},{"info":"number node, value=2072","layer":4},{"info":"compute unary expreesion, input=2072, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=nan","layer":3},{"info":"number node, value=7948","layer":4},{"info":"number node, value=7950","layer":4},{"info":"compute binary expreesion, left_input=7948, right_input=7950, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=38692","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=38692, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":2},{"info":"number node, value=1662","layer":4},{"info":"number node, value=1909","layer":4},{"info":"compute binary expreesion, left_input=1662, right_input=1909, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=720","layer":3},{"info":"number node, value=1236","layer":4},{"info":"number node, value=5208","layer":4},{"info":"compute binary expreesion, left_input=1236, right_input=5208, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"compute binary expreesion, left_input=720, right_input=9872, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=9872","layer":2},{"info":"compute binary expreesion, left_input=968, right_input=9872, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-18298397, right_input=nan, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":7,"result_base":7,"text":"(⨩∲⋌(≘(≴∭⊉4245⫲⨊)))⨐⩸⫘((∜⨇≴∭⊉6020)⪛⫼≴∭⊉32113⊬⨰≴∭⊉32115)↬(≴∭⊉4563⩇∃⫛≴∭⊉5365↺≴∭⊉3414⨔≚≋≴∭⊉21120)=NaN","reverse_text":"NaN=(⨩∲⋌(≘(≴∭⊉4245⫲⨊)))⨐⩸⫘((∜⨇≴∭⊉6020)⪛⫼≴∭⊉32113⊬⨰≴∭⊉32115)↬(≴∭⊉4563⩇∃⫛≴∭⊉5365↺≴∭⊉3414⨔≚≋≴∭⊉21120)","cot":[{"info":"≴∭⊉4245⫲⨊=≴∭⊉33123","layer":3},{"info":"≘≴∭⊉33123=≴∭⊉311346400","layer":2},{"info":"⨩∲⋌≴∭⊉311346400=≴∭⊉-311351045","layer":1},{"info":"∜⨇≴∭⊉6020=NaN","layer":3},{"info":"≴∭⊉32113⊬⨰≴∭⊉32115=≴∭⊉220543","layer":3},{"info":"NaN⪛⫼≴∭⊉220543=≴∭⊉2552","layer":2},{"info":"≴∭⊉4563⩇∃⫛≴∭⊉5365=≴∭⊉2046","layer":3},{"info":"≴∭⊉3414⨔≚≋≴∭⊉21120=≴∭⊉40532","layer":3},{"info":"≴∭⊉2046↺≴∭⊉40532=≴∭⊉40532","layer":2},{"info":"≴∭⊉2552↬≴∭⊉40532=NaN","layer":1},{"info":"≴∭⊉-311351045⨐⩸⫘NaN=NaN","layer":0}]}
+{"id":469,"expression_no_base_symbol":"⫟($2198$⩧⪆$2133$)≌($2894$↢$3840$)⩣⫁∢(($3687$⊍)⨵⪆(⨈⫕$2900$))","expression":"⫟(≴∭⊉6260⩧⪆≴∭⊉6135)≌(≴∭⊉11303↢≴∭⊉14124)⩣⫁∢((≴∭⊉13515⊍)⨵⪆(⨈⫕≴∭⊉11312))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2990,"operation_count":8,"complexity_ratio":373.75,"tree":{"type":"unary","operator":"⫟","unary_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":2198,"base":7},"right_expr":{"type":"numeric_atoms","value":2133,"base":7}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":2894,"base":7},"right_expr":{"type":"numeric_atoms","value":3840,"base":7}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⊍","unary_expr":{"type":"numeric_atoms","value":3687,"base":7}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":2900,"base":7}}}}},"used_operators":["z4E1FaHLuy","JDUIKTTSIa","lyWz822IDG","Ikt5ks8PT7","WR6HLWljOP","2DQ55sFlQl","3nqY3DE9mg","megm06wKyl"],"dependent_operators":["9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","eewbuw0ToL","t8gj7n24qd","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","AF7qkfDlqP","12rbrZMWeM","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2198","layer":4},{"info":"number node, value=2133","layer":4},{"info":"compute binary expreesion, left_input=2198, right_input=2133, op_id = Ikt5ks8PT7 binary_op_definition= 'a��⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-2133","layer":3},{"info":"number node, value=2894","layer":4},{"info":"number node, value=3840","layer":4},{"info":"compute binary expreesion, left_input=2894, right_input=3840, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=2410","layer":3},{"info":"compute binary expreesion, left_input=-2133, right_input=2410, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":2},{"info":"number node, value=3687","layer":4},{"info":"compute unary expreesion, input=3687, op_id = 3nqY3DE9mg, unary_op_definition = 'a⊍ = { (⊄⩳↩(⨑⩽⪐(a⋳⪒a))) }', output=9381","layer":3},{"info":"number node, value=2900","layer":4},{"info":"compute unary expreesion, input=2900, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":3},{"info":"compute binary expreesion, left_input=9381, right_input=-21, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = z4E1FaHLuy, unary_op_definition = '⫟a = { (((-a)⪨≂(a⨸⪁a))≧⫂∧((a⩷∴a)⨰(a⫡⨏a))) , if (a⫌⩹⨱)>=11 ; (((a+263)⋝⋈⪟(a⨳⩥⨓a))⪒((a⋥≓≎a)⫩⊇)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"⫟(≴∭⊉6260⩧⪆≴∭⊉6135)≌(≴∭⊉11303↢≴∭⊉14124)⩣⫁∢((≴∭⊉13515⊍)⨵⪆(⨈⫕≴∭⊉11312))=NaN","reverse_text":"NaN=⫟(≴∭⊉6260⩧⪆≴∭⊉6135)≌(≴∭⊉11303↢≴∭⊉14124)⩣⫁∢((≴∭⊉13515⊍)⨵⪆(⨈⫕≴∭⊉11312))","cot":[{"info":"≴∭⊉6260⩧⪆≴∭⊉6135=≴∭⊉-6135","layer":3},{"info":"≴∭⊉11303↢≴∭⊉14124=≴∭⊉10012","layer":3},{"info":"≴∭⊉-6135≌≴∭⊉10012=NaN","layer":2},{"info":"≴∭⊉13515⊍=≴∭⊉36231","layer":3},{"info":"⨈⫕≴∭⊉11312=≴∭⊉-30","layer":3},{"info":"≴∭⊉36231⨵⪆≴∭⊉-30=≴∭⊉316","layer":2},{"info":"NaN⩣⫁∢≴∭⊉316=NaN","layer":1},{"info":"⫟NaN=NaN","layer":0}]}
+{"id":470,"expression_no_base_symbol":"(($1970$⩺⪪$2211$/($5070$↬⩅∪))⫌⩉⩟($3071$∖$1009$)≳⇉$6656$⨓$3397$)⇄(($9313$⫑)⪮%⊝$4008$⨜⨶$2839$⫔⩽⩺($6125$↡⊰⫅$1771$)⪔($1571$≦≮≮))","expression":"((≴∭⊉5513⩺⪪≴∭⊉6306/(≴∭⊉20532↬⩅∪))⫌⩉⩟(≴∭⊉11645∖≴∭⊉2641)≳⇉≴∭⊉25256⨓≴∭⊉12622)⇄((≴∭⊉36103⫑)⪮%⊝≴∭⊉14454⨜⨶≴∭⊉11164⫔⩽⩺(≴∭⊉23600↡⊰⫅≴∭⊉5110)⪔(≴∭⊉4403≦≮≮))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":177255584,"operation_count":15,"complexity_ratio":11817038.933333334,"tree":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":1970,"base":7},"right_expr":{"type":"numeric_atoms","value":2211,"base":7}},"right_expr":{"type":"unary","operator":"↬⩅∪","unary_expr":{"type":"numeric_atoms","value":5070,"base":7}}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":3071,"base":7},"right_expr":{"type":"numeric_atoms","value":1009,"base":7}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":6656,"base":7},"right_expr":{"type":"numeric_atoms","value":3397,"base":7}}}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⫑","unary_expr":{"type":"numeric_atoms","value":9313,"base":7}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":4008,"base":7},"right_expr":{"type":"numeric_atoms","value":2839,"base":7}}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":6125,"base":7},"right_expr":{"type":"numeric_atoms","value":1771,"base":7}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":1571,"base":7}}}}},"used_operators":["3EYGwJThht","XIIwhv8d0m","XhwjNDsVaA","uvdQJvN4PV","VJ330n2nnx","V0kx6qeWkN","tXD093vOjl","3ViojmjbAp","i9eR4S00cU","IWmyXbctLI","CgIo77xlM2","HiPekx5b7W","GjBEYRfMaF","VCtxkLNOzz","D4vGDi5EA2"],"dependent_operators":["eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","rysDP5nf3Z","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","D4vGDi5EA2","23Mk6UjR3U","u6S6b8DprG","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","Tw270M8GLb","fu6greOZ01","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","cWQsF5MvuD","zR4jO40bMj","SUmda5xLS4","DZ8iAZOCBD","PxpmPgHHJV","ocnLzx9CaJ","Z5m6OM72h2","mqXw5SEYmG","8cLx32lpNA","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1970","layer":4},{"info":"number node, value=2211","layer":4},{"info":"compute binary expreesion, left_input=1970, right_input=2211, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=1914","layer":3},{"info":"number node, value=5070","layer":4},{"info":"compute unary expreesion, input=5070, op_id = VJ330n2nnx, unary_op_definition = 'a↬⩅∪ = { (a≦≮≮) , if (↽≂a)!=185 or a>=376 or a<=585 ; (a⋷a) , else }', output=-15210","layer":3},{"info":"compute binary expreesion, left_input=1914, right_input=-15210, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-1","layer":2},{"info":"number node, value=3071","layer":4},{"info":"number node, value=1009","layer":4},{"info":"compute binary expreesion, left_input=3071, right_input=1009, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"number node, value=6656","layer":4},{"info":"number node, value=3397","layer":4},{"info":"compute binary expreesion, left_input=6656, right_input=3397, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3400","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-3400, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=nan, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":1},{"info":"number node, value=9313","layer":4},{"info":"compute unary expreesion, input=9313, op_id = CgIo77xlM2, unary_op_definition = 'a⫑ = { (((a⊉≛↸377)⩼⇪↪(a∘a))⪄(841⪶≀⋏a)) , if (a⫸⊐7)<631 ; ((↓⇌(a∌a))⨌↪) , else }', output=3979","layer":3},{"info":"number node, value=4008","layer":4},{"info":"number node, value=2839","layer":4},{"info":"compute binary expreesion, left_input=4008, right_input=2839, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-5422","layer":3},{"info":"compute binary expreesion, left_input=3979, right_input=-5422, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=8274","layer":2},{"info":"number node, value=6125","layer":4},{"info":"number node, value=1771","layer":4},{"info":"compute binary expreesion, left_input=6125, right_input=1771, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=3542","layer":3},{"info":"number node, value=1571","layer":4},{"info":"compute unary expreesion, input=1571, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-4713","layer":3},{"info":"compute binary expreesion, left_input=3542, right_input=-4713, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":2},{"info":"compute binary expreesion, left_input=8274, right_input=450, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-50, right_input=nan, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉5513⩺⪪≴∭⊉6306/(≴∭⊉20532↬⩅∪))⫌⩉⩟(≴∭⊉11645∖≴∭⊉2641)≳⇉≴∭⊉25256⨓≴∭⊉12622)⇄((≴∭⊉36103⫑)⪮%⊝≴∭⊉14454⨜⨶≴∭⊉11164⫔⩽⩺(≴∭⊉23600↡⊰⫅≴∭⊉5110)⪔(≴∭⊉4403≦≮≮))=NaN","reverse_text":"NaN=((≴∭⊉5513⩺⪪≴∭⊉6306/(≴∭⊉20532↬⩅∪))⫌⩉⩟(≴∭⊉11645∖≴∭⊉2641)≳⇉≴∭⊉25256⨓≴∭⊉12622)⇄((≴∭⊉36103⫑)⪮%⊝≴∭⊉14454⨜⨶≴∭⊉11164⫔⩽⩺(≴∭⊉23600↡⊰⫅≴��⊉5110)⪔(≴∭⊉4403≦≮≮))","cot":[{"info":"≴∭⊉5513⩺⪪≴∭⊉6306=≴∭⊉5403","layer":3},{"info":"≴∭⊉20532↬⩅∪=≴∭⊉-62226","layer":3},{"info":"≴∭⊉5403/≴∭⊉-62226=≴∭⊉-1","layer":2},{"info":"≴∭⊉11645∖≴∭⊉2641=≴∭⊉0","layer":3},{"info":"≴∭⊉25256⨓≴∭⊉12622=≴∭⊉-12625","layer":3},{"info":"≴∭⊉0≳⇉≴∭⊉-12625=NaN","layer":2},{"info":"≴∭⊉-1⫌⩉⩟NaN=≴∭⊉-101","layer":1},{"info":"≴∭⊉36103⫑=≴∭⊉14413","layer":3},{"info":"≴∭⊉14454⨜⨶≴∭⊉11164=≴∭⊉-21544","layer":3},{"info":"≴∭⊉14413⪮%⊝≴∭⊉-21544=≴∭⊉33060","layer":2},{"info":"≴∭⊉23600↡⊰⫅≴∭⊉5110=≴∭⊉13220","layer":3},{"info":"≴∭⊉4403≦≮≮=≴∭⊉-16512","layer":3},{"info":"≴∭⊉13220⪔≴∭⊉-16512=≴∭⊉1212","layer":2},{"info":"≴∭⊉33060⫔⩽⩺≴∭⊉1212=NaN","layer":1},{"info":"≴∭⊉-101⇄NaN=NaN","layer":0}]}
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(a⨪↰⇹b) , else }', output=2938","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2938, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":2},{"info":"number node, value=3174","layer":4},{"info":"number node, value=1112","layer":4},{"info":"compute binary expreesion, left_input=3174, right_input=1112, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":3},{"info":"number node, value=3256","layer":4},{"info":"number node, value=1273","layer":4},{"info":"compute binary expreesion, left_input=3256, right_input=1273, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=968, right_input=nan, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-527, right_input=nan, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=nan","layer":1},{"info":"number node, value=2702","layer":4},{"info":"compute unary expreesion, input=2702, op_id = 6aG7x05OhS, unary_op_definition = 'a⫩ = { (a⪢a) }', output=nan","layer":3},{"info":"number node, value=1780","layer":4},{"info":"compute unary expreesion, input=1780, op_id = tGSeddj7UK, unary_op_definition = 'a≑≱⪘ = { ((⊄⩳↩(6≧⫂∧a))⩍⋽⫝̸((a⊲⩕⊾a)≦↸(a⋆⋳))) , if (a↹⊜255)>=30 or (a↯⫤)>122 ; ((a⩷∴(a⪒⊣⊆a))⨽(a⊬⫿⊭)) , else }', output=42645","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=42645, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":2},{"info":"number node, value=2168","layer":4},{"info":"compute unary expreesion, input=2168, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-6583","layer":3},{"info":"number node, value=1809","layer":4},{"info":"number node, value=7727","layer":4},{"info":"compute binary expreesion, left_input=1809, right_input=7727, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-269248","layer":3},{"info":"compute binary expreesion, left_input=-6583, right_input=-269248, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-525325","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-525325, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((⇺⋃≴∭⊉13566)⨫⇇↔(≴∭⊉11365⫲≸⪮≴∭⊉6420))⩼⇪↪(≴∭⊉12153⪛⫼≴∭⊉3146)⨑⩅≇(≴∭⊉12331⪢≴∭⊉3466)⪘⫢((≴∭⊉10610⫩)⨼⩣(≴∭⊉5122≑≱⪘)⊋≦⊧((∂⩏⊆≴∭⊉6215)⊭↱≴∭⊉5163⪪≴∭⊉31346))=NaN","reverse_text":"NaN=((⇺⋃≴∭⊉13566)⨫⇇↔(≴∭⊉11365⫲≸⪮≴∭⊉6420))⩼⇪↪(≴∭⊉12153⪛⫼≴∭⊉3146)⨑⩅≇(≴∭⊉12331⪢≴∭⊉3466)⪘⫢((≴∭⊉10610⫩)⨼⩣(≴∭⊉5122≑≱⪘)⊋≦⊧((∂⩏⊆≴∭⊉6215)⊭↱≴∭⊉5163⪪≴∭⊉31346))","cot":[{"info":"⇺⋃≴∭⊉13566=NaN","layer":3},{"info":"≴∭⊉11365⫲≸⪮≴∭⊉6420=≴∭⊉11365","layer":3},{"info":"NaN⨫⇇↔≴∭⊉11365=≴∭⊉-1352","layer":2},{"info":"≴∭⊉12153⪛⫼≴∭⊉3146=≴∭⊉2552","layer":3},{"info":"≴∭⊉12331⪢≴∭⊉3466=NaN","layer":3},{"info":"≴∭⊉2552⨑⩅≇NaN=NaN","layer":2},{"info":"≴∭⊉-1352⩼⇪↪NaN=NaN","layer":1},{"info":"≴∭⊉10610⫩=NaN","layer":3},{"info":"≴∭⊉5122≑≱⪘=≴∭⊉235221","layer":3},{"info":"NaN⨼⩣≴∭⊉235221=NaN","layer":2},{"info":"∂⩏⊆≴∭⊉6215=≴∭⊉-25123","layer":3},{"info":"≴∭⊉5163⪪≴∭⊉31346=≴∭⊉-2200660","layer":3},{"info":"≴∭⊉-25123⊭↱≴∭⊉-2200660=≴∭⊉-4315363","layer":2},{"info":"NaN⊋≦⊧≴∭⊉-4315363=NaN","layer":1},{"info":"NaN⪘⫢NaN=NaN","layer":0}]}
+{"id":472,"expression_no_base_symbol":"((($2942$⇼⇔∾$1217$)⊹≧⊝)∙⊟$1085$↳≱$1864$≁($1213$⨫⇇↔$1880$))≳⇉(⩦⊞(⫖→$4665$))⪮%⊝((⪨⨬$5606$)⨻⩈⩔($4087$⊜))","expression":"(((���∭⊉11402⇼⇔∾≴∭⊉3356)⊹≧⊝)∙⊟≴∭⊉3110↳≱≴∭⊉5302≁(≴∭⊉3352⨫⇇↔≴∭⊉5324))≳⇉(⩦⊞(⫖→≴∭⊉16413))⪮%⊝((⪨⨬≴∭⊉22226)⨻⩈⩔(≴∭⊉14626⊜))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":11342063,"operation_count":13,"complexity_ratio":872466.3846153846,"tree":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"unary","operator":"⊹≧⊝","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2942,"base":7},"right_expr":{"type":"numeric_atoms","value":1217,"base":7}}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":1085,"base":7},"right_expr":{"type":"numeric_atoms","value":1864,"base":7}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":1213,"base":7},"right_expr":{"type":"numeric_atoms","value":1880,"base":7}}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"numeric_atoms","value":4665,"base":7}}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"numeric_atoms","value":5606,"base":7}},"right_expr":{"type":"unary","operator":"⊜","unary_expr":{"type":"numeric_atoms","value":4087,"base":7}}}}},"used_operators":["V0kx6qeWkN","SxTAKzQCrw","LxFB4K6j0n","tifHPKVTfV","8N2wDY1A35","JwTKLfZU96","LXhwmt4mBO","IWmyXbctLI","u7fv1HBiaC","U4ylXWHChL","nEsXyWgiOK","5obUd6DV38","Eev2Q7dYIw"],"dependent_operators":["KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","NTOWxs364D","P8v4zCKN1o","XPYlsWDdGa","DZ8iAZOCBD","t8gj7n24qd","g55IO6H4Gj","eewbuw0ToL","i8ToyICDmI","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","T2fj7uvVaJ","nlCqmYiOvY","g55IO6H4Gj","D4vGDi5EA2","P8v4zCKN1o"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2942","layer":4},{"info":"number node, value=1217","layer":4},{"info":"compute binary expreesion, left_input=2942, right_input=1217, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1725","layer":3},{"info":"compute unary expreesion, input=-1725, op_id = LxFB4K6j0n, unary_op_definition = 'a⊹≧⊝ = { (((∥⊫a)⊭↱(a⩚⊴⇥a))⊉≛↸(⪲⇎(⪲⇎a))) , if a!=566 ; (-((a∲⫓a)⨸⪁(a⨰a))) , else }', output=13546","layer":2},{"info":"number node, value=1085","layer":4},{"info":"number node, value=1864","layer":4},{"info":"compute binary expreesion, left_input=1085, right_input=1864, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"number node, value=1213","layer":4},{"info":"number node, value=1880","layer":4},{"info":"compute binary expreesion, left_input=1213, right_input=1880, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-527, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=13546, right_input=nan, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=185944","layer":1},{"info":"number node, value=4665","layer":4},{"info":"compute unary expreesion, input=4665, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":3},{"info":"compute unary expreesion, input=177, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=298","layer":2},{"info":"number node, value=5606","layer":4},{"info":"compute unary expreesion, input=5606, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":3},{"info":"number node, value=4087","layer":4},{"info":"compute unary expreesion, input=4087, op_id = Eev2Q7dYIw, unary_op_definition = 'a⊜ = { ((a≦≮≮)⨸⪁(∥⊫a)) }', output=-14612","layer":3},{"info":"compute binary expreesion, left_input=-526, right_input=-14612, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":2},{"info":"compute binary expreesion, left_input=298, right_input=-174, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=912","layer":1},{"info":"compute binary expreesion, left_input=185944, right_input=912, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(((≴∭⊉11402⇼⇔∾≴∭⊉3356)⊹≧⊝)∙⊟≴∭⊉3110↳≱≴∭⊉5302≁(≴∭⊉3352⨫⇇↔≴∭⊉5324))≳⇉(⩦⊞(⫖→≴∭⊉16413))⪮%⊝((⪨⨬≴∭⊉22226)⨻⩈⩔(≴∭⊉14626⊜))=NaN","reverse_text":"NaN=(((≴∭⊉11402⇼⇔∾≴∭⊉3356)⊹≧⊝)∙⊟≴∭⊉3110↳≱≴∭⊉5302≁(≴∭⊉3352⨫⇇↔≴∭⊉5324))≳⇉(⩦⊞(⫖→≴∭⊉16413))⪮%⊝((⪨⨬≴∭⊉22226)⨻⩈⩔(≴∭⊉14626⊜))","cot":[{"info":"≴∭⊉11402⇼⇔∾≴∭⊉3356=≴∭⊉-5013","layer":3},{"info":"≴∭⊉-5013⊹≧⊝=≴∭⊉54331","layer":2},{"info":"≴∭⊉3110↳≱≴∭⊉5302=≴∭⊉0","layer":3},{"info":"≴∭⊉3352⨫⇇↔≴∭⊉5324=≴∭⊉-1352","layer":3},{"info":"≴∭⊉0≁≴∭⊉-1352=NaN","layer":2},{"info":"≴∭⊉54331∙⊟NaN=≴∭⊉1403053","layer":1},{"info":"⫖→≴∭⊉16413=≴∭⊉342","layer":3},{"info":"⩦⊞≴∭⊉342=≴∭⊉604","layer":2},{"info":"⪨⨬≴∭⊉22226=≴∭⊉-1351","layer":3},{"info":"≴∭⊉14626⊜=≴∭⊉-60413","layer":3},{"info":"≴∭⊉-1351⨻⩈⩔≴∭⊉-60413=≴∭⊉-336","layer":2},{"info":"≴∭⊉604⪮%⊝≴∭⊉-336=≴∭⊉2442","layer":1},{"info":"≴∭⊉1403053≳⇉≴∭⊉2442=NaN","layer":0}]}
+{"id":473,"expression_no_base_symbol":"-($6933$⫸⊐$2268$)⋹⋡⊁($6860$⨻⩈⩔$5419$)⊝⪿⪼($2021$⇮⋭$4820$)⪔⊥(⫇$1791$)","expression":"-(≴∭⊉26133⫸⊐≴∭⊉6420)⋹⋡⊁(≴∭⊉26000⨻⩈⩔≴∭⊉21541)⊝⪿⪼(≴∭⊉5615⇮⋭≴∭⊉20024)⪔⊥(⫇≴∭⊉5136)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":62764,"operation_count":8,"complexity_ratio":7845.5,"tree":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":6933,"base":7},"right_expr":{"type":"numeric_atoms","value":2268,"base":7}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":6860,"base":7},"right_expr":{"type":"numeric_atoms","value":5419,"base":7}}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":2021,"base":7},"right_expr":{"type":"numeric_atoms","value":4820,"base":7}},"right_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"numeric_atoms","value":1791,"base":7}}}}},"used_operators":["t8gj7n24qd","3Oe9XWJUTD","As8RqfVLgs","mqXw5SEYmG","nEsXyWgiOK","HJ9erzHUuu","vkpjKywKVM","YjI8oCXuph"],"dependent_operators":["NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI"],"result":"≴∭⊉-5165206","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6933","layer":4},{"info":"number node, value=2268","layer":4},{"info":"compute binary expreesion, left_input=6933, right_input=2268, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=8947","layer":3},{"info":"number node, value=6860","layer":4},{"info":"number node, value=5419","layer":4},{"info":"compute binary expreesion, left_input=6860, right_input=5419, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=46479","layer":3},{"info":"compute binary expreesion, left_input=8947, right_input=46479, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=47229","layer":2},{"info":"number node, value=2021","layer":4},{"info":"number node, value=4820","layer":4},{"info":"compute binary expreesion, left_input=2021, right_input=4820, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"number node, value=1791","layer":4},{"info":"compute unary expreesion, input=1791, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-2368","layer":3},{"info":"compute binary expreesion, left_input=-473, right_input=-2368, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=1272","layer":2},{"info":"compute binary expreesion, left_input=47229, right_input=1272, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=621277","layer":1},{"info":"compute unary expreesion, input=621277, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-621277","layer":0}],"base":7,"result_base":7,"text":"-(≴∭⊉26133⫸⊐≴∭⊉6420)⋹⋡⊁(≴∭⊉26000⨻⩈⩔≴∭⊉21541)⊝⪿⪼(≴∭⊉5615⇮⋭≴∭⊉20024)⪔⊥(⫇≴∭⊉5136)=≴∭⊉-5165206","reverse_text":"≴∭⊉-5165206=-(≴∭⊉26133⫸⊐≴∭⊉6420)⋹⋡⊁(≴∭⊉26000⨻⩈⩔≴∭⊉21541)⊝⪿⪼(≴∭⊉5615⇮⋭≴∭⊉20024)⪔⊥(⫇≴∭⊉5136)","cot":[{"info":"≴∭⊉26133⫸⊐≴∭⊉6420=≴∭⊉35041","layer":3},{"info":"≴∭⊉26000⨻⩈⩔≴∭⊉21541=≴∭⊉252336","layer":3},{"info":"≴∭⊉35041⋹⋡⊁≴∭⊉252336=≴∭⊉254460","layer":2},{"info":"≴∭⊉5615⇮⋭≴∭⊉20024=≴∭⊉-1244","layer":3},{"info":"⫇≴∭⊉5136=≴∭⊉-6622","layer":3},{"info":"≴∭⊉-1244⪔⊥≴∭⊉-6622=≴∭⊉3465","layer":2},{"info":"≴∭⊉254460⊝⪿⪼≴∭⊉3465=≴∭⊉5165206","layer":1},{"info":"-≴∭⊉5165206=≴∭⊉-5165206","layer":0}]}
+{"id":474,"expression_no_base_symbol":"(($3275$⨕⋳)↢($3323$↛⩡⫤)⫳≱↱($3409$⪚$2016$)∊∟⩊$1723$⊮⊟↴$2828$)⫰⋱($2720$⋓$1111$)⇻⋧≁($2196$∛≔)≒∊(≯(⋗⩴⪓$3272$))","expression":"((≴∭⊉12356⨕⋳)↢(≴∭⊉12455↛⩡⫤)⫳≱↱(≴∭⊉12640⪚≴∭⊉5610)∊∟⩊≴∭⊉5011⊮⊟↴≴∭⊉11150)⫰⋱(≴∭⊉10634⋓≴∭⊉3145)⇻⋧≁(≴∭⊉6255∛≔)≒∊(≯(⋗⩴⪓≴∭⊉12353))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":25384,"operation_count":14,"complexity_ratio":1813.142857142857,"tree":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"unary","operator":"⨕⋳","unary_expr":{"type":"numeric_atoms","value":3275,"base":7}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":3323,"base":7}}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":3409,"base":7},"right_expr":{"type":"numeric_atoms","value":2016,"base":7}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":1723,"base":7},"right_expr":{"type":"numeric_atoms","value":2828,"base":7}}}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2720,"base":7},"right_expr":{"type":"numeric_atoms","value":1111,"base":7}},"right_expr":{"type":"unary","operator":"∛≔","unary_expr":{"type":"numeric_atoms","value":2196,"base":7}}},"right_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"numeric_atoms","value":3272,"base":7}}}}},"used_operators":["6o9Blt3TJ6","ZvLB05nZmT","WR6HLWljOP","4X4GscPmMf","FU0Cs4j7VP","ddLRYrp01A","HrjLwUk87U","QDVgd2eftb","5KTvxBwnZo","jCPkEVoL5K","T2fj7uvVaJ","mGnSCrte3L","keWfFq85dY","nOKPl9n5zu"],"dependent_operators":["W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","9bazX3JMtO","nhYeJWJD5X","DbCuESL50I","3EYGwJThht","w2P8NbNXyL","uFcxV4UQCh","bJkvcejdHO","BUOGQAYlQx","cTDWOvIxvz","hrf7POJlIJ","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","d7ASUq0ydm","OKKcZfAt5B","212REbPD9h","gx7XJ7hdpj","nEsXyWgiOK","oWn0xqSxBt","g55IO6H4Gj","JLbD19bQDL","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG"],"result":"≴∭⊉1365","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3275","layer":4},{"info":"compute unary expreesion, input=3275, op_id = 4X4GscPmMf, unary_op_definition = 'a⨕⋳ = { ((⋼∭⪍(a∴a))⊉↱≁(⋂(a↹⊜60))) , if (a∝72)!=68 ; (((a≎⊠⪸503)⇄(a∇⊂⋱a))⪛a) , else }', output=207828","layer":3},{"info":"number node, value=3323","layer":4},{"info":"compute unary expreesion, input=3323, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-497862","layer":3},{"info":"compute binary expreesion, left_input=207828, right_input=-497862, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=207344","layer":2},{"info":"number node, value=3409","layer":4},{"info":"number node, value=2016","layer":4},{"info":"compute binary expreesion, left_input=3409, right_input=2016, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=2430","layer":3},{"info":"number node, value=1723","layer":4},{"info":"number node, value=2828","layer":4},{"info":"compute binary expreesion, left_input=1723, right_input=2828, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=2430, right_input=0, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=33","layer":2},{"info":"compute binary expreesion, left_input=207344, right_input=33, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-504","layer":1},{"info":"number node, value=2720","layer":4},{"info":"number node, value=1111","layer":4},{"info":"compute binary expreesion, left_input=2720, right_input=1111, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"number node, value=2196","layer":4},{"info":"compute unary expreesion, input=2196, op_id = mGnSCrte3L, unary_op_definition = 'a∛≔ = { (((⊙↵-a)⋾⨃∁(a⨻⩈⩔a))≝⊿(a⫸⇳(a⫯⪬∳a))) }', output=-840229325","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-840229325, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":2},{"info":"number node, value=3272","layer":4},{"info":"compute unary expreesion, input=3272, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=-2359","layer":3},{"info":"compute unary expreesion, input=-2359, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=0, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=931","layer":1},{"info":"compute binary expreesion, left_input=-504, right_input=931, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=537","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉12356⨕⋳)↢(≴∭⊉12455↛⩡⫤)⫳≱↱(≴∭⊉12640⪚≴∭⊉5610)∊∟⩊≴∭⊉5011⊮⊟↴≴∭⊉11150)⫰⋱(≴∭⊉10634⋓≴∭⊉3145)⇻⋧≁(≴∭⊉6255∛≔)≒∊(≯(⋗⩴⪓≴∭⊉12353))=≴∭⊉1365","reverse_text":"≴∭⊉1365=((≴∭⊉12356⨕⋳)↢(≴∭⊉12455↛⩡⫤)⫳≱↱(≴∭⊉12640⪚≴∭⊉5610)∊∟⩊≴∭⊉5011⊮⊟↴≴∭⊉11150)⫰⋱(≴∭⊉10634⋓≴∭⊉3145)⇻⋧≁(≴∭⊉6255∛≔)≒∊(≯(⋗⩴⪓≴∭⊉12353))","cot":[{"info":"≴∭⊉12356⨕⋳=≴∭⊉1523625","layer":3},{"info":"≴∭⊉12455↛⩡⫤=≴∭⊉-4142331","layer":3},{"info":"≴∭⊉1523625↢≴∭⊉-4142331=≴∭⊉1522334","layer":2},{"info":"≴∭⊉12640⪚≴∭⊉5610=≴∭⊉10041","layer":3},{"info":"≴∭⊉5011⊮⊟↴≴∭⊉11150=≴∭⊉0","layer":3},{"info":"≴∭⊉10041∊∟⩊≴∭⊉0=≴∭⊉45","layer":2},{"info":"≴∭⊉1522334⫳≱↱≴∭⊉45=≴∭⊉-1320","layer":1},{"info":"≴∭⊉10634⋓≴∭⊉3145=≴∭⊉0","layer":3},{"info":"≴∭⊉6255∛≔=≴∭⊉-26551555115","layer":3},{"info":"≴∭⊉0⇻⋧≁≴∭⊉-26551555115=≴∭⊉-1206","layer":2},{"info":"⋗⩴⪓≴∭⊉12353=≴∭⊉-6610","layer":3},{"info":"≯≴∭⊉-6610=≴∭⊉0","layer":2},{"info":"≴∭⊉-1206≒∊≴∭⊉0=≴∭⊉2500","layer":1},{"info":"≴∭⊉-1320⫰⋱≴∭⊉2500=≴∭⊉1365","layer":0}]}
+{"id":475,"expression_no_base_symbol":"$3739$⨸$2141$⊉↱≁$3278$≝⊿$5982$⩁⩘(∑⇻≧$6033$≳⇉$2678$)∕⩚(($8170$⋷$6135$)⪛$6966$∊∟⩊$5505$)⫁⪎(⫶⊄≣($4267$⨒$5730$))","expression":"≴∭⊉13621⨸≴∭⊉6146⊉↱≁≴∭⊉12362≝⊿≴∭⊉23304⩁⩘(∑⇻≧≴∭⊉23406≳⇉≴∭⊉10544)∕⩚((≴∭⊉32551⋷≴∭⊉23613)⪛≴∭⊉26211∊∟⩊≴∭⊉22023)⫁⪎(⫶⊄≣(≴∭⊉15304⨒≴∭⊉22464))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":80249601,"operation_count":13,"complexity_ratio":6173046.230769231,"tree":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":3739,"base":7},"right_expr":{"type":"numeric_atoms","value":2141,"base":7}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":3278,"base":7},"right_expr":{"type":"numeric_atoms","value":5982,"base":7}}},"right_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":6033,"base":7},"right_expr":{"type":"numeric_atoms","value":2678,"base":7}}}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":8170,"base":7},"right_expr":{"type":"numeric_atoms","value":6135,"base":7}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":6966,"base":7},"right_expr":{"type":"numeric_atoms","value":5505,"base":7}}},"right_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":4267,"base":7},"right_expr":{"type":"numeric_atoms","value":5730,"base":7}}}}},"used_operators":["z9ffQ9n5Zr","gub5Cegaqo","w2P8NbNXyL","KmoU8R5UQR","OKKcZfAt5B","l1M9WJ3V7u","V0kx6qeWkN","xRrnTEsQ6j","uFcxV4UQCh","23Mk6UjR3U","ddLRYrp01A","wxb3vTeyAj","y75s1iXyHd"],"dependent_operators":["3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","DpFCA1CohY","IWmyXbctLI","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","12rbrZMWeM","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","srAu1WTS94","oacrs7FA3X","7qqUquhhSb"],"result":"≴∭⊉-1264","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3739","layer":4},{"info":"number node, value=2141","layer":4},{"info":"compute binary expreesion, left_input=3739, right_input=2141, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=7478","layer":3},{"info":"number node, value=3278","layer":4},{"info":"number node, value=5982","layer":4},{"info":"compute binary expreesion, left_input=3278, right_input=5982, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-15775","layer":3},{"info":"compute binary expreesion, left_input=7478, right_input=-15775, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=169378","layer":2},{"info":"number node, value=6033","layer":4},{"info":"number node, value=2678","layer":4},{"info":"compute binary expreesion, left_input=6033, right_input=2678, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":2},{"info":"compute binary expreesion, left_input=169378, right_input=-852, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=-2460","layer":1},{"info":"number node, value=8170","layer":4},{"info":"number node, value=6135","layer":4},{"info":"compute binary expreesion, left_input=8170, right_input=6135, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=4100","layer":3},{"info":"number node, value=6966","layer":4},{"info":"number node, value=5505","layer":4},{"info":"compute binary expreesion, left_input=6966, right_input=5505, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=5505","layer":3},{"info":"compute binary expreesion, left_input=4100, right_input=5505, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=4100","layer":2},{"info":"number node, value=4267","layer":4},{"info":"number node, value=5730","layer":4},{"info":"compute binary expreesion, left_input=4267, right_input=5730, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-25230","layer":3},{"info":"compute unary expreesion, input=-25230, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=inf","layer":2},{"info":"compute binary expreesion, left_input=4100, right_input=inf, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-inf","layer":1},{"info":"compute binary expreesion, left_input=-2460, right_input=-inf, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉13621⨸≴∭⊉6146⊉↱≁≴∭⊉12362≝⊿≴∭⊉23304⩁⩘(∑⇻≧≴∭⊉23406≳⇉≴∭⊉10544)∕⩚((≴∭⊉32551⋷≴∭⊉23613)⪛≴∭⊉26211∊∟⩊≴∭⊉22023)⫁⪎(⫶⊄≣(≴∭⊉15304⨒≴∭⊉22464))=≴∭⊉-1264","reverse_text":"≴∭⊉-1264=≴∭⊉13621⨸≴∭⊉6146⊉↱≁≴∭⊉12362≝⊿≴∭⊉23304⩁⩘(∑⇻≧≴∭⊉23406≳⇉≴∭⊉10544)∕⩚((≴∭⊉32551⋷≴∭⊉23613)⪛≴∭⊉26211∊∟⩊≴∭⊉22023)⫁⪎(⫶⊄≣(≴∭⊉15304⨒≴∭⊉22464))","cot":[{"info":"≴∭⊉13621⨸≴∭⊉6146=≴∭⊉30542","layer":3},{"info":"≴∭⊉12362≝⊿≴∭⊉23304=≴∭⊉-63664","layer":3},{"info":"≴∭⊉30542⊉↱≁≴∭⊉-63664=≴∭⊉1303546","layer":2},{"info":"≴∭⊉23406≳⇉≴∭⊉10544=NaN","layer":3},{"info":"∑⇻≧NaN=≴∭⊉-2325","layer":2},{"info":"≴∭⊉1303546⩁⩘≴∭⊉-2325=≴∭⊉-10113","layer":1},{"info":"≴∭⊉32551⋷≴∭⊉23613=≴∭⊉14645","layer":3},{"info":"≴∭⊉26211∊∟⩊≴∭⊉22023=≴∭⊉22023","layer":3},{"info":"≴∭⊉14645⪛≴∭⊉22023=≴∭⊉14645","layer":2},{"info":"≴∭⊉15304⨒≴∭⊉22464=≴∭⊉-133362","layer":3},{"info":"⫶⊄≣≴∭⊉-133362=Inf","layer":2},{"info":"≴∭⊉14645⫁⪎Inf=-Inf","layer":1},{"info":"≴∭⊉-10113∕⩚-Inf=≴∭⊉-1264","layer":0}]}
+{"id":476,"expression_no_base_symbol":"($1164$⫌⩉⩟$5966$)↬($7746$∽$6069$)⇴(⊗$3135$)⨟⋌⩍(⊆⋠$1754$)≃(⩏⊷≩($1116$⫦⪉$5995$))≀⫉($1200$⪪$6966$)→⨶⪴($1966$∷)","expression":"(≴∭⊉3252⫌⩉⩟≴∭⊉23252)↬(≴∭⊉31404∽≴∭⊉23460)⇴(⊗≴∭⊉12066)⨟⋌⩍(⊆⋠≴∭⊉5054)≃(⩏⊷≩(≴∭⊉3153⫦⪉≴∭⊉23323))≀⫉(≴∭⊉3333⪪≴∭⊉26211)→⨶⪴(≴∭⊉5506∷)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":36612,"operation_count":14,"complexity_ratio":2615.1428571428573,"tree":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":1164,"base":7},"right_expr":{"type":"numeric_atoms","value":5966,"base":7}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":7746,"base":7},"right_expr":{"type":"numeric_atoms","value":6069,"base":7}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"numeric_atoms","value":3135,"base":7}},"right_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"numeric_atoms","value":1754,"base":7}}}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":1116,"base":7},"right_expr":{"type":"numeric_atoms","value":5995,"base":7}}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":1200,"base":7},"right_expr":{"type":"numeric_atoms","value":6966,"base":7}},"right_expr":{"type":"unary","operator":"∷","unary_expr":{"type":"numeric_atoms","value":1966,"base":7}}}}},"used_operators":["YbVcJGFEVW","4JB6nKBMSY","B5M0gjZbta","XIIwhv8d0m","y4ImoPnbV5","rGHVDoGpnC","RhiyfpczSx","EBhcHTkKd8","oZj3VtZNQx","uOZ1tnYMDE","wscyQdcy20","bF6eod5Gvf","xD69zh8xqp","nFAOW8KTqp"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","sdazOOVcIp","NTOWxs364D","COABgblf1C","rGHVDoGpnC","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","NTOWxs364D","QMFrweE19q","Tcnh7f0tEr","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","23Mk6UjR3U","12rbrZMWeM","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","8w2t5hMYqp","9FxExcQeMw","FU0Cs4j7VP","JclMnS0uGI","D4vGDi5EA2","t8gj7n24qd","2DDjHMKMc0"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1164","layer":4},{"info":"number node, value=5966","layer":4},{"info":"compute binary expreesion, left_input=1164, right_input=5966, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"number node, value=7746","layer":4},{"info":"number node, value=6069","layer":4},{"info":"compute binary expreesion, left_input=7746, right_input=6069, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-56759","layer":3},{"info":"compute binary expreesion, left_input=-50, right_input=-56759, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=3135","layer":4},{"info":"compute unary expreesion, input=3135, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-6270","layer":3},{"info":"number node, value=1754","layer":4},{"info":"compute unary expreesion, input=1754, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-6270, right_input=0, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=-6270","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-6270, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=nan","layer":1},{"info":"number node, value=1116","layer":4},{"info":"number node, value=5995","layer":4},{"info":"compute binary expreesion, left_input=1116, right_input=5995, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=2668","layer":3},{"info":"compute unary expreesion, input=2668, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=5035","layer":2},{"info":"number node, value=1200","layer":4},{"info":"number node, value=6966","layer":4},{"info":"compute binary expreesion, left_input=1200, right_input=6966, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-177289","layer":3},{"info":"number node, value=1966","layer":4},{"info":"compute unary expreesion, input=1966, op_id = nFAOW8KTqp, unary_op_definition = 'a∷ = { ((-(a⋝⋈⪟a))≦≮≮) }', output=5898","layer":3},{"info":"compute binary expreesion, left_input=-177289, right_input=5898, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-17694","layer":2},{"info":"compute binary expreesion, left_input=5035, right_input=-17694, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2822, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉3252⫌⩉⩟≴∭⊉23252)↬(≴∭⊉31404∽≴∭⊉23460)⇴(⊗≴∭⊉12066)⨟⋌⩍(⊆⋠≴∭⊉5054)≃(⩏⊷≩(≴∭⊉3153⫦⪉≴∭⊉23323))≀⫉(≴∭⊉3333⪪≴∭⊉26211)→⨶⪴(≴∭⊉5506∷)=NaN","reverse_text":"NaN=(≴∭⊉3252⫌⩉⩟≴∭⊉23252)↬(≴∭⊉31404∽≴∭⊉23460)⇴(⊗≴∭⊉12066)⨟⋌⩍(⊆⋠≴∭⊉5054)≃(⩏⊷≩(≴∭⊉3153⫦⪉≴∭⊉23323))≀⫉(≴∭⊉3333⪪≴∭⊉26211)→⨶⪴(≴∭⊉5506∷)","cot":[{"info":"≴∭⊉3252⫌⩉⩟≴∭⊉23252=≴∭⊉-101","layer":3},{"info":"≴∭⊉31404∽≴∭⊉23460=≴∭⊉-324323","layer":3},{"info":"≴∭⊉-101↬≴∭⊉-324323=NaN","layer":2},{"info":"⊗≴∭⊉12066=≴∭⊉-24165","layer":3},{"info":"⊆⋠≴∭⊉5054=≴∭⊉0","layer":3},{"info":"≴∭⊉-24165⨟⋌⩍≴∭⊉0=≴∭⊉-24165","layer":2},{"info":"NaN⇴≴∭⊉-24165=NaN","layer":1},{"info":"≴∭⊉3153⫦⪉≴∭⊉23323=≴∭⊉10531","layer":3},{"info":"⩏⊷≩≴∭⊉10531=≴∭⊉20452","layer":2},{"info":"≴∭⊉3333⪪≴∭⊉26211=≴∭⊉-1335610","layer":3},{"info":"≴∭⊉5506∷=≴∭⊉23124","layer":3},{"info":"≴∭⊉-1335610→⨶⪴≴∭⊉23124=≴∭⊉-102405","layer":2},{"info":"≴∭⊉20452≀⫉≴∭⊉-102405=≴∭⊉11141","layer":1},{"info":"NaN≃≴∭⊉11141=NaN","layer":0}]}
+{"id":477,"expression_no_base_symbol":"(($5074$⋣⋖$1165$⫌⩉⩟$3810$≦↸$1545$)⊜)↼⊘⨖(($2819$∪⫐$6540$)⪃↞⩐)↳≱($2487$⪕$4153$⋥≓≎(→⩰$4206$))","expression":"((≴∭⊉20536⋣⋖≴∭⊉3253⫌⩉⩟≴∭⊉14052≦↸≴∭⊉4335)⊜)↼⊘⨖((≴∭⊉11135∪⫐≴∭⊉25032)⪃↞⩐)↳≱(≴∭⊉10152⪕≴∭⊉15052⋥≓≎(→⩰≴∭⊉15156))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":89342,"operation_count":11,"complexity_ratio":8122.0,"tree":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"unary","operator":"⊜","unary_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":5074,"base":7},"right_expr":{"type":"numeric_atoms","value":1165,"base":7}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":3810,"base":7},"right_expr":{"type":"numeric_atoms","value":1545,"base":7}}}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"unary","operator":"⪃↞⩐","unary_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":2819,"base":7},"right_expr":{"type":"numeric_atoms","value":6540,"base":7}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":2487,"base":7},"right_expr":{"type":"numeric_atoms","value":4153,"base":7}},"right_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"numeric_atoms","value":4206,"base":7}}}}},"used_operators":["bPywburJMS","Eev2Q7dYIw","XIIwhv8d0m","J0M6qkBnIM","RygbFNSyEJ","JwTKLfZU96","grXIztHqDa","7YooWSwCyH","Qy55tPpLXF","umQnsF7QlU","o8Pngz0Tml"],"dependent_operators":["9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","g55IO6H4Gj","D4vGDi5EA2","P8v4zCKN1o","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","IwW236VD4Y","bF6eod5Gvf","l07mrZUIn9","rJVOvQCfKK","2DDjHMKMc0","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL"],"result":"≴∭⊉-435","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5074","layer":4},{"info":"number node, value=1165","layer":4},{"info":"compute binary expreesion, left_input=5074, right_input=1165, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=5074","layer":3},{"info":"number node, value=3810","layer":4},{"info":"number node, value=1545","layer":4},{"info":"compute binary expreesion, left_input=3810, right_input=1545, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-10029","layer":3},{"info":"compute binary expreesion, left_input=5074, right_input=-10029, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":2},{"info":"compute unary expreesion, input=-50, op_id = Eev2Q7dYIw, unary_op_definition = 'a⊜ = { ((a≦≮≮)⨸⪁(∥⊫a)) }', output=1936","layer":1},{"info":"number node, value=2819","layer":4},{"info":"number node, value=6540","layer":4},{"info":"compute binary expreesion, left_input=2819, right_input=6540, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=2819","layer":3},{"info":"compute unary expreesion, input=2819, op_id = grXIztHqDa, unary_op_definition = 'a⪃↞⩐ = { ((a→⨶⪴a)≠≀(a↪⪝)) }', output=17220","layer":2},{"info":"number node, value=2487","layer":4},{"info":"number node, value=4153","layer":4},{"info":"compute binary expreesion, left_input=2487, right_input=4153, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=1722","layer":3},{"info":"number node, value=4206","layer":4},{"info":"compute unary expreesion, input=4206, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1722, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=17220, right_input=nan, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=1936, right_input=0, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=-222","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉20536⋣⋖≴∭⊉3253⫌⩉⩟≴∭⊉14052≦↸≴∭⊉4335)⊜)↼⊘⨖((≴∭⊉11135∪⫐≴∭⊉25032)⪃↞⩐)↳≱(≴∭⊉10152⪕≴∭⊉15052⋥≓≎(→⩰≴∭⊉15156))=≴∭⊉-435","reverse_text":"≴∭⊉-435=((≴∭⊉20536⋣⋖≴∭⊉3253⫌⩉⩟≴∭⊉14052≦↸≴∭⊉4335)⊜)↼⊘⨖((≴∭⊉11135∪⫐≴∭⊉25032)⪃↞⩐)↳≱(≴∭⊉10152⪕≴∭⊉15052⋥≓≎(→⩰≴∭⊉15156))","cot":[{"info":"≴∭⊉20536⋣⋖≴∭⊉3253=≴∭⊉20536","layer":3},{"info":"≴∭⊉14052≦↸≴∭⊉4335=≴∭⊉-41145","layer":3},{"info":"≴∭⊉20536⫌⩉⩟≴∭⊉-41145=≴∭⊉-101","layer":2},{"info":"≴∭⊉-101⊜=≴∭⊉5434","layer":1},{"info":"≴∭⊉11135∪⫐≴∭⊉25032=≴∭⊉11135","layer":3},{"info":"≴∭⊉11135⪃↞⩐=≴∭⊉101130","layer":2},{"info":"≴∭⊉10152⪕≴∭⊉15052=≴∭⊉5010","layer":3},{"info":"→⩰≴∭⊉15156=NaN","layer":3},{"info":"≴∭⊉5010⋥≓≎NaN=NaN","layer":2},{"info":"≴∭⊉101130↳≱NaN=≴∭⊉0","layer":1},{"info":"≴∭⊉5434↼⊘⨖≴∭⊉0=≴∭⊉-435","layer":0}]}
+{"id":478,"expression_no_base_symbol":"(($3110$⪶≀⋏$4118$⨵⪆$6507$⫞⩸⩒$2749$)⇄(⋣(⇋⊎⋝$1035$)))⪡(($8395$⨂≜$2821$⊋≦⊧$1841$⇌⫙⪟$5131$)⩷∴($2143$≳⇉$5217$⇆⨓≜))","expression":"((≴∭⊉12032⪶≀⋏≴∭⊉15002⨵⪆≴∭⊉24654⫞⩸⩒≴∭⊉11005)⇄(⋣(⇋⊎⋝≴∭⊉3006)))⪡((≴∭⊉33322⨂≜≴∭⊉11140⊋≦⊧≴∭⊉5240⇌⫙⪟≴∭⊉20650)⩷∴(≴∭⊉6151≳⇉≴∭⊉21132⇆⨓≜))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":392335035,"operation_count":13,"complexity_ratio":30179618.076923076,"tree":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":3110,"base":7},"right_expr":{"type":"numeric_atoms","value":4118,"base":7}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":6507,"base":7},"right_expr":{"type":"numeric_atoms","value":2749,"base":7}}},"right_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"numeric_atoms","value":1035,"base":7}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":8395,"base":7},"right_expr":{"type":"numeric_atoms","value":2821,"base":7}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":1841,"base":7},"right_expr":{"type":"numeric_atoms","value":5131,"base":7}}},"right_expr":{"type":"unary","operator":"⇆⨓≜","unary_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":2143,"base":7},"right_expr":{"type":"numeric_atoms","value":5217,"base":7}}}}},"used_operators":["oraRL2iQuh","3EYGwJThht","2DQ55sFlQl","zR4jO40bMj","XGcMNugi78","zQWRhDnn8F","CzM2PEoXns","9FxExcQeMw","oRDoc9rAEX","k1SHOSEABc","AFVx7xoS7T","KvvgdUaMHJ","V0kx6qeWkN"],"dependent_operators":["2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","dWAJyo7jo9","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","Uaa54Peajs","KYD54nUTWz","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3110","layer":4},{"info":"number node, value=4118","layer":4},{"info":"compute binary expreesion, left_input=3110, right_input=4118, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-17798","layer":3},{"info":"number node, value=6507","layer":4},{"info":"number node, value=2749","layer":4},{"info":"compute binary expreesion, left_input=6507, right_input=2749, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=2749","layer":3},{"info":"compute binary expreesion, left_input=-17798, right_input=2749, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=1035","layer":4},{"info":"compute unary expreesion, input=1035, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-113","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-113, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=597","layer":1},{"info":"number node, value=8395","layer":4},{"info":"number node, value=2821","layer":4},{"info":"compute binary expreesion, left_input=8395, right_input=2821, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"number node, value=1841","layer":4},{"info":"number node, value=5131","layer":4},{"info":"compute binary expreesion, left_input=1841, right_input=5131, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=113, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=nan","layer":2},{"info":"number node, value=2143","layer":4},{"info":"number node, value=5217","layer":4},{"info":"compute binary expreesion, left_input=2143, right_input=5217, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = KvvgdUaMHJ, unary_op_definition = 'a⇆⨓≜ = { (∂(a⫥∨⫟a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=597, right_input=nan, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉12032⪶≀⋏≴∭⊉15002⨵⪆≴∭⊉24654⫞⩸⩒≴∭⊉11005)⇄(⋣(⇋⊎⋝≴∭⊉3006)))⪡((≴∭⊉33322⨂≜≴∭⊉11140⊋≦⊧≴∭⊉5240⇌⫙⪟≴∭⊉20650)⩷∴(≴∭⊉6151≳⇉≴∭⊉21132⇆⨓≜))=NaN","reverse_text":"NaN=((≴∭⊉12032⪶≀⋏≴∭⊉15002⨵⪆≴∭⊉24654⫞⩸⩒≴∭⊉11005)⇄(⋣(⇋⊎⋝≴∭⊉3006)))⪡((≴∭⊉33322⨂≜≴∭⊉11140⊋≦⊧≴∭⊉5240⇌⫙⪟≴∭⊉20650)⩷∴(≴∭⊉6151≳⇉≴∭⊉21132⇆⨓≜))","cot":[{"info":"≴∭⊉12032⪶≀⋏≴∭⊉15002=≴∭⊉-102614","layer":3},{"info":"≴∭⊉24654⫞⩸⩒≴∭⊉11005=≴∭⊉11005","layer":3},{"info":"≴∭⊉-102614⨵⪆≴∭⊉11005=≴∭⊉316","layer":2},{"info":"⇋⊎⋝≴∭⊉3006=NaN","layer":3},{"info":"⋣NaN=≴∭⊉-221","layer":2},{"info":"≴∭⊉316⇄≴∭⊉-221=≴∭⊉1512","layer":1},{"info":"≴∭⊉33322⨂≜≴∭⊉11140=NaN","layer":3},{"info":"≴∭⊉5240⇌⫙⪟≴∭⊉20650=≴∭⊉221","layer":3},{"info":"NaN⊋≦⊧≴∭⊉221=NaN","layer":2},{"info":"≴∭⊉6151≳⇉≴∭⊉21132=NaN","layer":3},{"info":"NaN⇆⨓≜=NaN","layer":2},{"info":"NaN⩷∴NaN=NaN","layer":1},{"info":"≴∭⊉1512⪡NaN=NaN","layer":0}]}
+{"id":479,"expression_no_base_symbol":"((($1356$+$4866$)⪥(∂$1615$))⊟⇱)⇴∐((⊵⊁($1113$⊜))∙⊟(⪭⩑⪱($8308$⇷$2863$)))","expression":"(((≴∭⊉3645+≴∭⊉20121)⪥(∂≴∭⊉4465))⊟⇱)⇴∐((⊵⊁(≴∭⊉3150⊜))∙⊟(⪭⩑⪱(≴∭⊉33136⇷≴∭⊉11230)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":218180,"operation_count":10,"complexity_ratio":21818.0,"tree":{"type":"binary","operator":"⇴∐","left_expr":{"type":"unary","operator":"⊟⇱","unary_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1356,"base":7},"right_expr":{"type":"numeric_atoms","value":4866,"base":7}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1615,"base":7}}}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"unary","operator":"⊜","unary_expr":{"type":"numeric_atoms","value":1113,"base":7}}},"right_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":8308,"base":7},"right_expr":{"type":"numeric_atoms","value":2863,"base":7}}}}},"used_operators":["HnzytWxmAO","03sUfWo75k","QbnwKVWMIQ","W4YGzv6Whe","Uaa54Peajs","SxTAKzQCrw","AvED76WdY7","Eev2Q7dYIw","SIgE0bArFf","mp7IySMOzn"],"dependent_operators":["2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","IWmyXbctLI","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","uBihLCJcMX","k8jYdgA6NY","g55IO6H4Gj","D4vGDi5EA2","P8v4zCKN1o","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1356","layer":4},{"info":"number node, value=4866","layer":4},{"info":"compute binary expreesion, left_input=1356, right_input=4866, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6222","layer":3},{"info":"number node, value=1615","layer":4},{"info":"compute unary expreesion, input=1615, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=6222, right_input=nan, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=29540","layer":2},{"info":"compute unary expreesion, input=29540, op_id = 03sUfWo75k, unary_op_definition = 'a⊟⇱ = { (a⪮%⊝a) }', output=59396","layer":1},{"info":"number node, value=1113","layer":4},{"info":"compute unary expreesion, input=1113, op_id = Eev2Q7dYIw, unary_op_definition = 'a⊜ = { ((a≦≮≮)⨸⪁(∥⊫a)) }', output=-2716","layer":3},{"info":"compute unary expreesion, input=-2716, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=0","layer":2},{"info":"number node, value=8308","layer":4},{"info":"number node, value=2863","layer":4},{"info":"compute binary expreesion, left_input=8308, right_input=2863, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=5726","layer":3},{"info":"compute unary expreesion, input=5726, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=8320752, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=22285","layer":1},{"info":"compute binary expreesion, left_input=59396, right_input=22285, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(((≴∭⊉3645+≴∭⊉20121)⪥(∂≴∭⊉4465))⊟⇱)⇴∐((⊵⊁(≴∭⊉3150⊜))∙⊟(⪭⩑⪱(≴∭⊉33136⇷≴∭⊉11230)))=NaN","reverse_text":"NaN=(((≴∭⊉3645+≴∭⊉20121)⪥(∂≴∭⊉4465))⊟⇱)⇴∐((⊵⊁(≴∭⊉3150⊜))∙⊟(⪭⩑⪱(≴∭⊉33136⇷≴∭⊉11230)))","cot":[{"info":"≴∭⊉3645+≴∭⊉20121=≴∭⊉24066","layer":3},{"info":"∂≴∭⊉4465=NaN","layer":3},{"info":"≴∭⊉24066⪥NaN=≴∭⊉152060","layer":2},{"info":"≴∭⊉152060⊟⇱=≴∭⊉335111","layer":1},{"info":"≴∭⊉3150⊜=≴∭⊉-10630","layer":3},{"info":"⊵⊁≴∭⊉-10630=≴∭⊉0","layer":2},{"info":"≴∭⊉33136⇷≴∭⊉11230=≴∭⊉22460","layer":3},{"info":"⪭⩑⪱≴∭⊉22460=≴∭⊉130503516","layer":2},{"info":"≴∭⊉0∙⊟≴∭⊉130503516=≴∭⊉121654","layer":1},{"info":"≴∭⊉335111⇴∐≴∭⊉121654=NaN","layer":0}]}
+{"id":480,"expression_no_base_symbol":"((⨦⪝($2662$⨸⪁$3232$))⩧⪆(⇈($2759$⩼⇪↪$4913$)))⩏","expression":"((⨦⪝(≴∭⊉10522⨸⪁≴∭⊉12265))⩧⪆(⇈(≴∭⊉11021⩼⇪↪≴∭⊉20216)))⩏","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1603,"operation_count":6,"complexity_ratio":267.1666666666667,"tree":{"type":"unary","operator":"⩏","unary_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2662,"base":7},"right_expr":{"type":"numeric_atoms","value":3232,"base":7}}},"right_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":2759,"base":7},"right_expr":{"type":"numeric_atoms","value":4913,"base":7}}}}},"used_operators":["iA2gmKZ3Wj","Ikt5ks8PT7","SUjycxNXIR","g55IO6H4Gj","SLLxy00UIr","ocnLzx9CaJ"],"dependent_operators":["z6LnFrNh4i","Tcnh7f0tEr","eewbuw0ToL","t8gj7n24qd","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","W4YGzv6Whe","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2662","layer":4},{"info":"number node, value=3232","layer":4},{"info":"compute binary expreesion, left_input=2662, right_input=3232, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=11788","layer":3},{"info":"compute unary expreesion, input=11788, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙���∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":2},{"info":"number node, value=2759","layer":4},{"info":"number node, value=4913","layer":4},{"info":"compute binary expreesion, left_input=2759, right_input=4913, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-29656","layer":3},{"info":"compute unary expreesion, input=-29656, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=-1884, right_input=-447, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=447","layer":1},{"info":"compute unary expreesion, input=447, op_id = iA2gmKZ3Wj, unary_op_definition = 'a⩏ = { ((a⋕⪉⪜272)≣⋋) }', output=0","layer":0}],"base":7,"result_base":7,"text":"((⨦⪝(≴∭⊉10522⨸⪁≴∭⊉12265))⩧⪆(⇈(≴∭⊉11021⩼⇪↪≴∭⊉20216)))⩏=≴∭⊉0","reverse_text":"≴∭⊉0=((⨦⪝(≴∭⊉10522⨸⪁≴∭⊉12265))⩧⪆(⇈(≴∭⊉11021⩼⇪↪≴∭⊉20216)))⩏","cot":[{"info":"≴∭⊉10522⨸⪁≴∭⊉12265=≴∭⊉46240","layer":3},{"info":"⨦⪝≴∭⊉46240=≴∭⊉-5331","layer":2},{"info":"≴∭⊉11021⩼⇪↪≴∭⊉20216=≴∭⊉-152314","layer":3},{"info":"⇈≴∭⊉-152314=≴∭⊉-1206","layer":2},{"info":"≴∭⊉-5331⩧⪆≴∭⊉-1206=≴∭⊉1206","layer":1},{"info":"≴∭⊉1206⩏=≴∭⊉0","layer":0}]}
+{"id":481,"expression_no_base_symbol":"((⨵$3180$)⊊)⩇∃⫛($5757$⪢$1622$⫔⩽⩺$1127$⊹∫⫚$6368$)⪡((($1234$⫌⩹⨱)⇄$2450$⩣⫁∢$3638$)≳⇉($1225$⊬⨰$1012$)⫁⪎($8570$⨵⪆$4643$))","expression":"((⨵≴∭⊉12162)⊊)⩇∃⫛(≴∭⊉22533⪢≴∭⊉4505⫔⩽⩺≴∭⊉3200⊹∫⫚≴∭⊉24365)⪡(((≴∭⊉3412⫌⩹⨱)⇄≴∭⊉10100⩣⫁∢≴∭⊉13415)≳⇉(≴∭⊉3400⊬⨰≴∭⊉2644)⫁⪎(≴∭⊉33662⨵⪆≴∭⊉16352))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":273783601,"operation_count":14,"complexity_ratio":19555971.5,"tree":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"unary","operator":"⊊","unary_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"numeric_atoms","value":3180,"base":7}}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":5757,"base":7},"right_expr":{"type":"numeric_atoms","value":1622,"base":7}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":1127,"base":7},"right_expr":{"type":"numeric_atoms","value":6368,"base":7}}}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":1234,"base":7}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":2450,"base":7},"right_expr":{"type":"numeric_atoms","value":3638,"base":7}}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":1225,"base":7},"right_expr":{"type":"numeric_atoms","value":1012,"base":7}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":8570,"base":7},"right_expr":{"type":"numeric_atoms","value":4643,"base":7}}}}},"used_operators":["oraRL2iQuh","1aApVXNlOP","W9R8I5fN5A","Tl3Y52tvF8","i9eR4S00cU","dWAJyo7jo9","uWAJUKEvyW","V0kx6qeWkN","3EYGwJThht","EBcxylXtPf","JDUIKTTSIa","xRrnTEsQ6j","s3Fd5m9Dh2","2DQ55sFlQl"],"dependent_operators":["2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","DlLNRPXxWL","aBQ6xLxuTc","8n5YIzOsVS","oZj3VtZNQx","MahUMFw56D","hyuBjUqXlG","aA7tF3KVD3","2DDjHMKMc0","QMFrweE19q","SxTAKzQCrw","8cLx32lpNA","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","Tw270M8GLb","fu6greOZ01","k8jYdgA6NY","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","W4YGzv6Whe","rysDP5nf3Z","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3180","layer":4},{"info":"compute unary expreesion, input=3180, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=-26649","layer":3},{"info":"compute unary expreesion, input=-26649, op_id = W9R8I5fN5A, unary_op_definition = 'a⊊ = { (((⫛⫱⨽a)∙⊟a)∌((a⇂≾⫗536)⋝⋈⪟(a⫡⨏a))) , if ((a≚⋢)==7 or (a⪘⨀)==15) ; ((a≀⫉(6⪛⫼a))⫠↝⫳) , else }', output=90927","layer":2},{"info":"number node, value=5757","layer":4},{"info":"number node, value=1622","layer":4},{"info":"compute binary expreesion, left_input=5757, right_input=1622, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1127","layer":4},{"info":"number node, value=6368","layer":4},{"info":"compute binary expreesion, left_input=1127, right_input=6368, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-268","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-268, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=90927, right_input=nan, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=nan","layer":1},{"info":"number node, value=1234","layer":4},{"info":"compute unary expreesion, input=1234, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=3869","layer":3},{"info":"number node, value=2450","layer":4},{"info":"number node, value=3638","layer":4},{"info":"compute binary expreesion, left_input=2450, right_input=3638, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-4739","layer":3},{"info":"compute binary expreesion, left_input=3869, right_input=-4739, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":2},{"info":"number node, value=1225","layer":4},{"info":"number node, value=1012","layer":4},{"info":"compute binary expreesion, left_input=1225, right_input=1012, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=4217","layer":3},{"info":"number node, value=8570","layer":4},{"info":"number node, value=4643","layer":4},{"info":"compute binary expreesion, left_input=8570, right_input=4643, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=4217, right_input=160, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=4057","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=4057, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((⨵≴∭⊉12162)⊊)⩇∃⫛(≴∭⊉22533⪢≴∭⊉4505⫔⩽⩺≴∭⊉3200⊹∫⫚≴∭⊉24365)⪡(((≴∭⊉3412⫌⩹⨱)⇄≴∭⊉10100⩣⫁∢≴∭⊉13415)≳⇉(≴∭⊉3400⊬⨰≴∭⊉2644)⫁⪎(≴∭⊉33662⨵⪆≴∭⊉16352))=NaN","reverse_text":"NaN=((⨵≴∭⊉12162)⊊)⩇∃⫛(≴∭⊉22533⪢≴∭⊉4505⫔⩽⩺≴∭⊉3200⊹∫⫚≴∭⊉24365)⪡(((≴∭⊉3412⫌⩹⨱)⇄≴∭⊉10100⩣⫁∢≴∭⊉13415)≳⇉(≴∭⊉3400⊬⨰≴∭⊉2644)⫁⪎(≴∭⊉33662⨵⪆≴∭⊉16352))","cot":[{"info":"⨵≴∭⊉12162=≴∭⊉-140460","layer":3},{"info":"≴∭⊉-140460⊊=≴∭⊉526044","layer":2},{"info":"≴∭⊉22533⪢≴∭⊉4505=NaN","layer":3},{"info":"≴∭⊉3200⊹∫⫚≴∭⊉24365=≴∭⊉-532","layer":3},{"info":"NaN⫔⩽⩺≴∭⊉-532=NaN","layer":2},{"info":"≴∭⊉526044⩇∃⫛NaN=NaN","layer":1},{"info":"≴∭⊉3412⫌⩹⨱=≴∭⊉14165","layer":3},{"info":"≴∭⊉10100⩣⫁∢≴∭⊉13415=≴∭⊉-16550","layer":3},{"info":"≴∭⊉14165⇄≴∭⊉-16550=≴∭⊉0","layer":2},{"info":"≴∭⊉3400⊬⨰≴∭⊉2644=≴∭⊉15203","layer":3},{"info":"≴∭⊉33662⨵⪆≴∭⊉16352=≴∭⊉316","layer":3},{"info":"≴∭⊉15203⫁⪎≴∭⊉316=≴∭⊉14554","layer":2},{"info":"≴∭⊉0≳⇉≴∭⊉14554=NaN","layer":1},{"info":"NaN⪡NaN=NaN","layer":0}]}
+{"id":482,"expression_no_base_symbol":"($5056$⫠↝⫳)⪥($1800$≀⫉$1020$)⨭⪣($6218$⩨$4598$↰)⪠⩆⊳","expression":"(≴∭⊉20512⫠↝⫳)⪥(≴∭⊉5151≀⫉≴∭⊉2655)⨭⪣(≴∭⊉24062⩨≴∭⊉16256↰)⪠⩆⊳","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":225,"operation_count":7,"complexity_ratio":32.142857142857146,"tree":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"unary","operator":"⫠↝⫳","unary_expr":{"type":"numeric_atoms","value":5056,"base":7}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":1800,"base":7},"right_expr":{"type":"numeric_atoms","value":1020,"base":7}}},"right_expr":{"type":"unary","operator":"↰","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":6218,"base":7},"right_expr":{"type":"numeric_atoms","value":4598,"base":7}}}}},"used_operators":["JLbD19bQDL","kn8WO9XteQ","QbnwKVWMIQ","8n5YIzOsVS","oZj3VtZNQx","bl5wxAcryP","2DlMacCsIx"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","9FxExcQeMw","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","nCS4ZIUYfx","Z2TMIBDE3Q","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5056","layer":4},{"info":"compute unary expreesion, input=5056, op_id = 8n5YIzOsVS, unary_op_definition = 'a⫠↝⫳ = { (((a⨸⪁a)⩷∴(⩦⩻⨪a))⫡⨏a) }', output=162415","layer":3},{"info":"number node, value=1800","layer":4},{"info":"number node, value=1020","layer":4},{"info":"compute binary expreesion, left_input=1800, right_input=1020, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"compute binary expreesion, left_input=162415, right_input=2822, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=654312","layer":2},{"info":"number node, value=6218","layer":4},{"info":"number node, value=4598","layer":4},{"info":"compute binary expreesion, left_input=6218, right_input=4598, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = bl5wxAcryP, unary_op_definition = 'a↰ = { ((a⨳⩥⨓101)⩤) }', output=-101","layer":2},{"info":"compute binary expreesion, left_input=654312, right_input=-101, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=653033","layer":1},{"info":"compute unary expreesion, input=653033, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉20512⫠↝⫳)⪥(≴∭⊉5151≀⫉≴∭⊉2655)⨭⪣(≴∭⊉24062⩨≴∭⊉16256↰)⪠⩆⊳=≴∭⊉0","reverse_text":"≴∭⊉0=(≴∭⊉20512⫠↝⫳)⪥(≴∭⊉5151≀⫉≴∭⊉2655)⨭⪣(≴∭⊉24062⩨≴∭⊉16256↰)⪠⩆⊳","cot":[{"info":"≴∭⊉20512⫠↝⫳=≴∭⊉1244341","layer":3},{"info":"≴∭⊉5151≀⫉≴∭⊉2655=≴∭⊉11141","layer":3},{"info":"≴∭⊉1244341⪥≴∭⊉11141=≴∭⊉5363421","layer":2},{"info":"≴∭⊉24062⩨≴∭⊉16256=≴∭⊉0","layer":3},{"info":"≴∭⊉0↰=≴∭⊉-203","layer":2},{"info":"≴∭⊉5363421⨭⪣≴∭⊉-203=≴∭⊉5356613","layer":1},{"info":"≴∭⊉5356613⪠⩆⊳=≴∭⊉0","layer":0}]}
+{"id":483,"expression_no_base_symbol":"(⨂⪏⇭(⊀($6956$⊎←↗)))⊉≛↸(⊵⊁(⋗⩬⋾$2603$))⪢(($1196$≝⊿$2967$)⫠)","expression":"(⨂⪏⇭(⊀(≴∭⊉26165⊎←↗)))⊉≛↸(⊵⊁(⋗⩬⋾≴∭⊉10406))⪢((≴∭⊉3326≝⊿≴∭⊉11436)⫠)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":107379,"operation_count":9,"complexity_ratio":11931.0,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"unary","operator":"⊎←↗","unary_expr":{"type":"numeric_atoms","value":6956,"base":7}}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":2603,"base":7}}},"right_expr":{"type":"unary","operator":"⫠","unary_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":1196,"base":7},"right_expr":{"type":"numeric_atoms","value":2967,"base":7}}}}},"used_operators":["DZ8iAZOCBD","AYdpE9sXAk","oPMjh9089D","dwb5p0fa6d","dWAJyo7jo9","AvED76WdY7","DpFCA1CohY","6SnOT2rOjz","OKKcZfAt5B"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","sdazOOVcIp","COABgblf1C","k8jYdgA6NY","uBihLCJcMX","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Bmrmz2XGnR","tmPS8pqC7x","mp7IySMOzn","12rbrZMWeM"],"result":"≴∭⊉13066426","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6956","layer":4},{"info":"compute unary expreesion, input=6956, op_id = dwb5p0fa6d, unary_op_definition = 'a⊎←↗ = { (a⊭↱340) , if (a⪨≂940)!=203 ; (a⊭↱a) , else }', output=-13227","layer":3},{"info":"compute unary expreesion, input=-13227, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=199188","layer":2},{"info":"compute unary expreesion, input=199188, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=596585","layer":1},{"info":"number node, value=2603","layer":4},{"info":"compute unary expreesion, input=2603, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-7809","layer":3},{"info":"compute unary expreesion, input=-7809, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=0","layer":2},{"info":"number node, value=1196","layer":4},{"info":"number node, value=2967","layer":4},{"info":"compute binary expreesion, left_input=1196, right_input=2967, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-7663","layer":3},{"info":"compute unary expreesion, input=-7663, op_id = 6SnOT2rOjz, unary_op_definition = 'a⫠ = { ((a⇷0)⨪↰⇹(a≚⊃≕a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=0","layer":1},{"info":"compute binary expreesion, left_input=596585, right_input=0, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=1193170","layer":0}],"base":7,"result_base":7,"text":"(⨂⪏⇭(⊀(≴∭⊉26165⊎←↗)))⊉≛↸(⊵⊁(⋗⩬⋾≴∭⊉10406))⪢((≴∭⊉3326≝⊿≴∭⊉11436)⫠)=≴∭⊉13066426","reverse_text":"≴∭⊉13066426=(⨂⪏⇭(⊀(≴∭⊉26165⊎←↗)))⊉≛↸(⊵⊁(⋗⩬⋾≴∭⊉10406))⪢((≴∭⊉3326≝⊿≴∭⊉11436)⫠)","cot":[{"info":"≴∭⊉26165⊎←↗=≴∭⊉-53364","layer":3},{"info":"⊀≴∭⊉-53364=≴∭⊉1456503","layer":2},{"info":"⨂⪏⇭≴∭⊉1456503=≴∭⊉5033213","layer":1},{"info":"⋗⩬⋾≴∭⊉10406=≴∭⊉-31524","layer":3},{"info":"⊵⊁≴∭⊉-31524=≴∭⊉0","layer":2},{"info":"≴∭⊉3326≝⊿≴∭⊉11436=≴∭⊉-31225","layer":3},{"info":"≴∭⊉-31225⫠=≴∭⊉0","layer":2},{"info":"≴∭⊉0⪢≴∭⊉0=≴∭⊉0","layer":1},{"info":"≴∭⊉5033213⊉≛↸≴∭⊉0=≴∭⊉13066426","layer":0}]}
+{"id":484,"expression_no_base_symbol":"($2543$≀⫉$5222$)⨸($7709$≭$3196$)⪒⊣⊆((⪁⇼$1723$)⋳⪒($5112$⨌↪))⊓⋫","expression":"(≴∭⊉10262≀⫉≴∭⊉21140)⨸(≴∭⊉31322≭≴∭⊉12214)⪒⊣⊆((⪁⇼≴∭⊉5011)⋳⪒(≴∭⊉20622⨌↪))⊓⋫","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3149,"operation_count":8,"complexity_ratio":393.625,"tree":{"type":"unary","operator":"⊓⋫","unary_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":2543,"base":7},"right_expr":{"type":"numeric_atoms","value":5222,"base":7}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":7709,"base":7},"right_expr":{"type":"numeric_atoms","value":3196,"base":7}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"numeric_atoms","value":1723,"base":7}},"right_expr":{"type":"unary","operator":"⨌↪","unary_expr":{"type":"numeric_atoms","value":5112,"base":7}}}}},"used_operators":["IqGBaFP0uj","eRqsBgTDFp","KmoU8R5UQR","oZj3VtZNQx","rxpJgHHUmx","12rbrZMWeM","ZNVVrZ94lY","cWQsF5MvuD"],"dependent_operators":["2td37pGCOC","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","nCS4ZIUYfx","QMFrweE19q","sdazOOVcIp","W4YGzv6Whe","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","8w2t5hMYqp","2DQ55sFlQl","i8ToyICDmI","QMFrweE19q"],"result":"≴∭⊉-45166","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2543","layer":4},{"info":"number node, value=5222","layer":4},{"info":"compute binary expreesion, left_input=2543, right_input=5222, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"number node, value=7709","layer":4},{"info":"number node, value=3196","layer":4},{"info":"compute binary expreesion, left_input=7709, right_input=3196, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2822, right_input=nan, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=5644","layer":2},{"info":"number node, value=1723","layer":4},{"info":"compute unary expreesion, input=1723, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":3},{"info":"number node, value=5112","layer":4},{"info":"compute unary expreesion, input=5112, op_id = cWQsF5MvuD, unary_op_definition = 'a⨌↪ = { (⊄⩳↩((a∲⫓a)⨵⪆(a⫡⨏a))) }', output=-480","layer":3},{"info":"compute binary expreesion, left_input=422, right_input=-480, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1037","layer":2},{"info":"compute binary expreesion, left_input=5644, right_input=1037, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=11288","layer":1},{"info":"compute unary expreesion, input=11288, op_id = IqGBaFP0uj, unary_op_definition = 'a⊓⋫ = { (((a⪨≂a)⨳⩥⨓(⩦⩻⨪230))⪒(a⋝⋈⪟(542⫡⨏384))) }', output=-11416","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉10262≀⫉≴∭⊉21140)⨸(≴∭⊉31322≭≴∭⊉12214)⪒⊣⊆((⪁⇼≴∭⊉5011)⋳⪒(≴∭⊉20622⨌↪))⊓⋫=≴∭⊉-45166","reverse_text":"≴∭⊉-45166=(≴∭⊉10262≀⫉≴∭⊉21140)⨸(≴∭⊉31322≭≴∭⊉12214)⪒⊣⊆((⪁⇼≴∭⊉5011)⋳⪒(≴∭⊉20622⨌↪))⊓⋫","cot":[{"info":"≴∭⊉10262≀⫉≴∭⊉21140=≴∭⊉11141","layer":3},{"info":"≴∭⊉31322≭≴∭⊉12214=NaN","layer":3},{"info":"≴∭⊉11141⨸NaN=≴∭⊉22312","layer":2},{"info":"⪁⇼≴∭⊉5011=≴∭⊉1142","layer":3},{"info":"≴∭⊉20622⨌↪=≴∭⊉-1254","layer":3},{"info":"≴∭⊉1142⋳⪒≴∭⊉-1254=≴∭⊉3011","layer":2},{"info":"≴∭⊉22312⪒⊣⊆≴∭⊉3011=≴∭⊉44624","layer":1},{"info":"≴∭⊉44624⊓⋫=≴∭⊉-45166","layer":0}]}
+{"id":485,"expression_no_base_symbol":"(($1149$≹⇙⪍$1258$⪥(⊬↢$3071$))⪔⊥((≔$2699$)∀⋜↑))⨜⨶(($2315$⩘$4175$⨽(⋣$1113$))≎⊠⪸(⫛⫱⨽($3177$∠⫱$1098$)))","expression":"((≴∭⊉3231≹⇙⪍≴∭⊉3445⪥(⊬↢≴∭⊉11645))⪔⊥((≔≴∭⊉10604)∀⋜↑))⨜⨶((≴∭⊉6515⩘≴∭⊉15113⨽(⋣≴∭⊉3150))≎⊠⪸(⫛⫱⨽(≴∭⊉12156∠⫱≴∭⊉3126)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5359,"operation_count":13,"complexity_ratio":412.2307692307692,"tree":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1149,"base":7},"right_expr":{"type":"numeric_atoms","value":1258,"base":7}},"right_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"numeric_atoms","value":3071,"base":7}}},"right_expr":{"type":"unary","operator":"∀⋜↑","unary_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"numeric_atoms","value":2699,"base":7}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":2315,"base":7},"right_expr":{"type":"numeric_atoms","value":4175,"base":7}},"right_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"numeric_atoms","value":1113,"base":7}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":3177,"base":7},"right_expr":{"type":"numeric_atoms","value":1098,"base":7}}}}},"used_operators":["HiPekx5b7W","HJ9erzHUuu","QbnwKVWMIQ","AHs5Up7iyr","WPoGxAaPR1","KipPnG1M2J","8FLs4eVsLt","bJkvcejdHO","8HhzD0ZcuI","cHh1gJQ2o6","zQWRhDnn8F","DlLNRPXxWL","QvoQhV0rrE"],"dependent_operators":["N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","dWAJyo7jo9","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","eLAdDNolq6","23Mk6UjR3U","f6k1SAg4EE","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","rGHVDoGpnC","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP"],"result":"≴∭⊉-14425402552","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1149","layer":4},{"info":"number node, value=1258","layer":4},{"info":"compute binary expreesion, left_input=1149, right_input=1258, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=3071","layer":4},{"info":"compute unary expreesion, input=3071, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=218","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=218, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=-110","layer":2},{"info":"number node, value=2699","layer":4},{"info":"compute unary expreesion, input=2699, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-74278","layer":3},{"info":"compute unary expreesion, input=-74278, op_id = KipPnG1M2J, unary_op_definition = 'a∀⋜↑ = { ((≤/a)⪒(a⋷a)) }', output=-223318","layer":2},{"info":"compute binary expreesion, left_input=-110, right_input=-223318, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=909","layer":1},{"info":"number node, value=2315","layer":4},{"info":"number node, value=4175","layer":4},{"info":"compute binary expreesion, left_input=2315, right_input=4175, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"number node, value=1113","layer":4},{"info":"compute unary expreesion, input=1113, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-327127","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-327127, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=905895","layer":2},{"info":"number node, value=3177","layer":4},{"info":"number node, value=1098","layer":4},{"info":"compute binary expreesion, left_input=3177, right_input=1098, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=905895, right_input=0, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=234626332","layer":1},{"info":"compute binary expreesion, left_input=909, right_input=234626332, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-469252408","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉3231≹⇙⪍≴∭⊉3445⪥(⊬↢≴∭⊉11645))⪔⊥((≔≴∭⊉10604)∀⋜↑))⨜⨶((≴∭⊉6515⩘≴∭⊉15113⨽(⋣≴∭⊉3150))≎⊠⪸(⫛⫱⨽(≴∭⊉12156∠⫱≴∭⊉3126)))=≴∭⊉-14425402552","reverse_text":"≴∭⊉-14425402552=((≴∭⊉3231≹⇙⪍≴∭⊉3445⪥(⊬↢≴∭⊉11645))⪔⊥((≔≴∭⊉10604)∀⋜↑))⨜⨶((≴∭⊉6515⩘≴∭⊉15113⨽(⋣≴∭⊉3150))≎⊠⪸(⫛⫱⨽(≴∭⊉12156∠⫱≴∭⊉3126)))","cot":[{"info":"≴∭⊉3231≹⇙⪍≴∭⊉3445=NaN","layer":3},{"info":"⊬↢≴∭⊉11645=≴∭⊉431","layer":3},{"info":"NaN⪥≴∭⊉431=≴∭⊉-215","layer":2},{"info":"≔≴∭⊉10604=≴∭⊉-426361","layer":3},{"info":"≴∭⊉-426361∀⋜↑=≴∭⊉-1620034","layer":2},{"info":"≴∭⊉-215⪔⊥≴∭⊉-1620034=≴∭⊉2436","layer":1},{"info":"≴∭⊉6515⩘≴∭⊉15113=≴∭⊉316","layer":3},{"info":"⋣≴∭⊉3150=≴∭⊉-2531503","layer":3},{"info":"≴∭⊉316⨽≴∭⊉-2531503=≴∭⊉10462044","layer":2},{"info":"≴∭⊉12156∠⫱≴∭⊉3126=≴∭⊉3412","layer":3},{"info":"⫛⫱⨽≴∭⊉3412=≴∭⊉0","layer":2},{"info":"≴∭⊉10462044≎⊠⪸≴∭⊉0=≴∭⊉5546201533","layer":1},{"info":"≴∭⊉2436⨜⨶≴∭⊉5546201533=≴∭⊉-14425402552","layer":0}]}
+{"id":486,"expression_no_base_symbol":"((⨩∲⋌$4945$)⊲⩕⊾($1495$⊹≧⊝))⨿($3737$⩌⋺$3369$⫉⨲⊜($1125$⨎$2214$))⩌⋺(≪((⊢≑≆$2416$)⋝⋈⪟($1298$⋩≍≻)))","expression":"((⨩∲⋌≴∭⊉20263)⊲⩕⊾(≴∭⊉4234⊹≧⊝))⨿(≴∭⊉13616⩌⋺≴∭⊉12552⫉⨲⊜(≴∭⊉3165⨎≴∭⊉6312))⩌⋺(≪((⊢≑≆≴∭⊉10021)⋝⋈⪟(≴∭⊉3533⋩≍≻)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":22057,"operation_count":12,"complexity_ratio":1838.0833333333333,"tree":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"numeric_atoms","value":4945,"base":7}},"right_expr":{"type":"unary","operator":"⊹≧⊝","unary_expr":{"type":"numeric_atoms","value":1495,"base":7}}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":3737,"base":7},"right_expr":{"type":"numeric_atoms","value":3369,"base":7}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1125,"base":7},"right_expr":{"type":"numeric_atoms","value":2214,"base":7}}}},"right_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"numeric_atoms","value":2416,"base":7}},"right_expr":{"type":"unary","operator":"⋩≍≻","unary_expr":{"type":"numeric_atoms","value":1298,"base":7}}}}},"used_operators":["g7Hmc5v1ko","abYXlopdE0","DmTXOeWf9t","aSik1wnThz","LxFB4K6j0n","WhqkvtTD3t","rJVOvQCfKK","Qtd6bqUJcN","2DDjHMKMc0","27wFxooxGf","WYd1w68Nbz"],"dependent_operators":["9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","NTOWxs364D","P8v4zCKN1o","XPYlsWDdGa","DZ8iAZOCBD","t8gj7n24qd","g55IO6H4Gj","eewbuw0ToL","i8ToyICDmI","COABgblf1C","eewbuw0ToL","zVYPLywUTj","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","P8v4zCKN1o","Noe24qw2ks","mqXw5SEYmG","IWmyXbctLI","COABgblf1C"],"result":"≴∭⊉-2041","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4945","layer":4},{"info":"compute unary expreesion, input=4945, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-5468","layer":3},{"info":"number node, value=1495","layer":4},{"info":"compute unary expreesion, input=1495, op_id = LxFB4K6j0n, unary_op_definition = 'a⊹≧⊝ = { (((∥⊫a)⊭↱(a⩚⊴⇥a))⊉≛↸(⪲⇎(⪲⇎a))) , if a!=566 ; (-((a∲⫓a)⨸⪁(a⨰a))) , else }', output=-5980","layer":3},{"info":"compute binary expreesion, left_input=-5468, right_input=-5980, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=81398","layer":2},{"info":"number node, value=3737","layer":4},{"info":"number node, value=3369","layer":4},{"info":"compute binary expreesion, left_input=3737, right_input=3369, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-7227","layer":3},{"info":"number node, value=1125","layer":4},{"info":"number node, value=2214","layer":4},{"info":"compute binary expreesion, left_input=1125, right_input=2214, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2214","layer":3},{"info":"compute binary expreesion, left_input=-7227, right_input=2214, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=523134044","layer":2},{"info":"compute binary expreesion, left_input=81398, right_input=523134044, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":1},{"info":"number node, value=2416","layer":4},{"info":"compute unary expreesion, input=2416, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=10116","layer":3},{"info":"number node, value=1298","layer":4},{"info":"compute unary expreesion, input=1298, op_id = WYd1w68Nbz, unary_op_definition = 'a⋩��≻ = { (∥⊫(a⊭↱21)) , if a>=390 ; ((a⨐a)⫸⊐(a⪮%⊝a)) , else }', output=-55","layer":3},{"info":"compute binary expreesion, left_input=10116, right_input=-55, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=10116","layer":2},{"info":"compute unary expreesion, input=10116, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":1},{"info":"compute binary expreesion, left_input=-319, right_input=913, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-715","layer":0}],"base":7,"result_base":7,"text":"((⨩∲⋌≴∭⊉20263)⊲⩕⊾(≴∭⊉4234⊹≧⊝))⨿(≴∭⊉13616⩌⋺≴∭⊉12552⫉⨲⊜(≴∭⊉3165⨎≴∭⊉6312))⩌⋺(≪((⊢≑≆≴∭⊉10021)⋝⋈⪟(≴∭⊉3533⋩≍≻)))=≴∭⊉-2041","reverse_text":"≴∭⊉-2041=((⨩∲⋌≴∭⊉20263)⊲⩕⊾(≴∭⊉4234⊹≧⊝))⨿(≴∭⊉13616⩌⋺≴∭⊉12552⫉⨲⊜(≴∭⊉3165⨎≴∭⊉6312))⩌⋺(≪((⊢≑≆≴∭⊉10021)⋝⋈⪟(≴∭⊉3533⋩≍≻)))","cot":[{"info":"⨩∲⋌≴∭⊉20263=≴∭⊉-21641","layer":3},{"info":"≴∭⊉4234⊹≧⊝=≴∭⊉-23302","layer":3},{"info":"≴∭⊉-21641⊲⩕⊾≴∭⊉-23302=≴∭⊉456212","layer":2},{"info":"≴∭⊉13616⩌⋺≴∭⊉12552=≴∭⊉-30033","layer":3},{"info":"≴∭⊉3165⨎≴∭⊉6312=≴∭⊉6312","layer":3},{"info":"≴∭⊉-30033⫉⨲⊜≴∭⊉6312=≴∭⊉15651365066","layer":2},{"info":"≴∭⊉456212⨿≴∭⊉15651365066=≴∭⊉-634","layer":1},{"info":"⊢≑≆≴∭⊉10021=≴∭⊉41331","layer":3},{"info":"≴∭⊉3533⋩≍≻=≴∭⊉-106","layer":3},{"info":"≴∭⊉41331⋝⋈⪟≴∭⊉-106=≴∭⊉41331","layer":2},{"info":"≪≴∭⊉41331=≴∭⊉2443","layer":1},{"info":"≴∭⊉-634⩌⋺≴∭⊉2443=≴∭⊉-2041","layer":0}]}
+{"id":487,"expression_no_base_symbol":"(≀↧⇸($4212$⊾⪯⋞$2271$)⨂≜($1622$⩷∴$8185$))⪛($2181$⫉⨲⊜$2377$↛⩡⫤)⨟⋌⩍(↣≠⋷$3615$)⨑⩅≇($2113$⪑⩈)","expression":"(≀↧⇸(≴∭⊉15165⊾⪯⋞≴∭⊉6423)⨂≜(≴∭⊉4505⩷∴≴∭⊉32602))⪛(≴∭⊉6234⫉⨲⊜≴∭⊉6634↛⩡⫤)⨟⋌⩍(↣≠⋷≴∭⊉13353)⨑⩅≇(≴∭⊉6106⪑⩈)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":8190,"operation_count":11,"complexity_ratio":744.5454545454545,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":4212,"base":7},"right_expr":{"type":"numeric_atoms","value":2271,"base":7}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1622,"base":7},"right_expr":{"type":"numeric_atoms","value":8185,"base":7}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":2181,"base":7},"right_expr":{"type":"numeric_atoms","value":2377,"base":7}}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":3615,"base":7}},"right_expr":{"type":"unary","operator":"⪑⩈","unary_expr":{"type":"numeric_atoms","value":2113,"base":7}}}}},"used_operators":["uFcxV4UQCh","ljTHtUsqzn","k1SHOSEABc","HK0tfVPux8","9FxExcQeMw","rGHVDoGpnC","FU0Cs4j7VP","WhqkvtTD3t","h92wMvzauj","Asc51vEJeQ","C6VvDP6HwP"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","XPYlsWDdGa","23Mk6UjR3U","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","rysDP5nf3Z","Tcnh7f0tEr","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","eewbuw0ToL","zVYPLywUTj","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","XhwjNDsVaA","AHs5Up7iyr","9FxExcQeMw","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","Z2TMIBDE3Q","i8ToyICDmI","eewbuw0ToL","2td37pGCOC","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4212","layer":4},{"info":"number node, value=2271","layer":4},{"info":"compute binary expreesion, left_input=4212, right_input=2271, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=4116","layer":3},{"info":"number node, value=1622","layer":4},{"info":"number node, value=8185","layer":4},{"info":"compute binary expreesion, left_input=1622, right_input=8185, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-13158","layer":3},{"info":"compute binary expreesion, left_input=4116, right_input=-13158, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=nan","layer":1},{"info":"number node, value=2181","layer":4},{"info":"number node, value=2377","layer":4},{"info":"compute binary expreesion, left_input=2181, right_input=2377, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=0","layer":2},{"info":"number node, value=3615","layer":4},{"info":"compute unary expreesion, input=3615, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=2113","layer":4},{"info":"compute unary expreesion, input=2113, op_id = C6VvDP6HwP, unary_op_definition = 'a⪑⩈ = { (((a⫡⨏a)⩚⊴⇥(477⪨≂185))⇼⇔∾(⩦⩻⨪(a∲⫓a))) , if (a⨰851)>=379 ; (((a⩷∴a)⩤)⨰a) , else }', output=16381","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=16381, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=935","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=935, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≀↧⇸(≴∭⊉15165⊾⪯⋞≴∭⊉6423)⨂≜(≴∭⊉4505⩷∴≴∭⊉32602))⪛(≴∭⊉6234⫉⨲⊜≴∭⊉6634↛⩡⫤)⨟⋌⩍(↣≠⋷≴∭⊉13353)⨑⩅≇(≴∭⊉6106⪑⩈)=NaN","reverse_text":"NaN=(≀↧⇸(≴∭⊉15165⊾⪯⋞≴∭⊉6423)⨂≜(≴∭⊉4505⩷∴≴∭⊉32602))⪛(≴∭⊉6234⫉⨲⊜≴∭⊉6634↛⩡⫤)⨟⋌⩍(↣≠⋷≴∭⊉13353)⨑⩅≇(≴∭⊉6106⪑⩈)","cot":[{"info":"≴∭⊉15165⊾⪯⋞≴∭⊉6423=≴∭⊉15000","layer":3},{"info":"≴∭⊉4505⩷∴≴∭⊉32602=≴∭⊉-53235","layer":3},{"info":"≴∭⊉15000⨂≜≴∭⊉-53235=NaN","layer":2},{"info":"≀↧⇸NaN=NaN","layer":1},{"info":"≴∭⊉6234⫉⨲⊜≴∭⊉6634=≴∭⊉0","layer":3},{"info":"≴∭⊉0↛⩡⫤=≴∭⊉0","layer":2},{"info":"↣≠⋷≴∭⊉13353=NaN","layer":3},{"info":"≴∭⊉6106⪑⩈=≴∭⊉65521","layer":3},{"info":"NaN⨑⩅≇≴∭⊉65521=≴∭⊉2504","layer":2},{"info":"≴∭⊉0⨟⋌⩍≴∭⊉2504=≴∭⊉0","layer":1},{"info":"NaN⪛≴∭⊉0=NaN","layer":0}]}
+{"id":488,"expression_no_base_symbol":"((↓⇌$4340$⪬$1053$)⫥∨⫟(⫇$2719$)∺≝⩲($3772$⨟⋌⩍$1744$))↢(⇺⋃($1286$⩘$3327$⫔⩽⩺(⨦⪝$2906$)))","expression":"((↓⇌≴∭⊉15440⪬≴∭⊉3033)⫥∨⫟(⫇≴∭⊉10633)∺≝⩲(≴∭⊉13666⨟⋌⩍≴∭⊉5041))↢(⇺⋃(≴∭⊉3515⩘≴∭⊉12462⫔⩽⩺(⨦⪝≴∭⊉11321)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":975,"operation_count":11,"complexity_ratio":88.63636363636364,"tree":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":4340,"base":7},"right_expr":{"type":"numeric_atoms","value":1053,"base":7}}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"numeric_atoms","value":2719,"base":7}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":3772,"base":7},"right_expr":{"type":"numeric_atoms","value":1744,"base":7}}}},"right_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":1286,"base":7},"right_expr":{"type":"numeric_atoms","value":3327,"base":7}},"right_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"numeric_atoms","value":2906,"base":7}}}}},"used_operators":["WR6HLWljOP","KYD54nUTWz","PxpmPgHHJV","Ez1Nq5fNfI","KPf6cnQVty","YjI8oCXuph","rGHVDoGpnC","E5v5B3UAjG","i9eR4S00cU","cHh1gJQ2o6","SUjycxNXIR"],"dependent_operators":["eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","8HhzD0ZcuI","rGHVDoGpnC","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","Tcnh7f0tEr","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","Tw270M8GLb","fu6greOZ01","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4340","layer":4},{"info":"number node, value=1053","layer":4},{"info":"compute binary expreesion, left_input=4340, right_input=1053, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=1234","layer":2},{"info":"number node, value=2719","layer":4},{"info":"compute unary expreesion, input=2719, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-4224","layer":3},{"info":"number node, value=3772","layer":4},{"info":"number node, value=1744","layer":4},{"info":"compute binary expreesion, left_input=3772, right_input=1744, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-4224, right_input=nan, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=160, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=1286","layer":4},{"info":"number node, value=3327","layer":4},{"info":"compute binary expreesion, left_input=1286, right_input=3327, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"number node, value=2906","layer":4},{"info":"compute unary expreesion, input=2906, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-1884, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((↓⇌≴∭⊉15440⪬≴∭⊉3033)⫥∨⫟(⫇≴∭⊉10633)∺≝⩲(≴∭⊉13666⨟⋌⩍≴∭⊉5041))↢(⇺⋃(≴∭⊉3515⩘≴∭⊉12462⫔⩽⩺(⨦⪝≴∭⊉11321)))=NaN","reverse_text":"NaN=((↓⇌≴∭⊉15440⪬≴∭⊉3033)⫥∨⫟(⫇≴∭⊉10633)∺≝⩲(≴∭⊉13666⨟⋌⩍≴∭⊉5041))↢(⇺⋃(≴∭⊉3515⩘≴∭⊉12462⫔⩽⩺(⨦⪝≴∭⊉11321)))","cot":[{"info":"≴∭⊉15440⪬≴∭⊉3033=≴∭⊉3412","layer":3},{"info":"↓⇌≴∭⊉3412=≴∭⊉3412","layer":2},{"info":"⫇≴∭⊉10633=≴∭⊉-15213","layer":3},{"info":"≴∭⊉13666⨟⋌⩍≴∭⊉5041=NaN","layer":3},{"info":"≴∭⊉-15213∺≝⩲NaN=≴∭⊉316","layer":2},{"info":"≴∭⊉3412⫥∨⫟≴∭⊉316=NaN","layer":1},{"info":"≴∭⊉3515⩘≴∭⊉12462=≴∭⊉316","layer":3},{"info":"⨦⪝≴∭⊉11321=≴∭⊉-5331","layer":3},{"info":"≴∭⊉316⫔⩽⩺≴∭⊉-5331=NaN","layer":2},{"info":"⇺⋃NaN=NaN","layer":1},{"info":"NaN↢NaN=NaN","layer":0}]}
+{"id":489,"expression_no_base_symbol":"≑⋹(⇵⪽(($2019$⫃⨇$8691$)⨿($3269$∌↝$3334$)))","expression":"≑⋹(⇵⪽((≴∭⊉5613⫃⨇≴∭⊉34224)⨿(≴∭⊉12350∌↝≴∭⊉12502)))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":109369,"operation_count":5,"complexity_ratio":21873.8,"tree":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":2019,"base":7},"right_expr":{"type":"numeric_atoms","value":8691,"base":7}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":3269,"base":7},"right_expr":{"type":"numeric_atoms","value":3334,"base":7}}}}},"used_operators":["6B9nyZLogK","ZGCBLdVRRX","abYXlopdE0","09Ly4LVMIf","9Isq31Ruls"],"dependent_operators":["aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","U7g4x0WXJJ","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2019","layer":4},{"info":"number node, value=8691","layer":4},{"info":"compute binary expreesion, left_input=2019, right_input=8691, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-34796","layer":3},{"info":"number node, value=3269","layer":4},{"info":"number node, value=3334","layer":4},{"info":"compute binary expreesion, left_input=3269, right_input=3334, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-34796, right_input=0, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=67","layer":2},{"info":"compute unary expreesion, input=67, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"≑⋹(⇵⪽((≴∭⊉5613⫃⨇≴∭⊉34224)⨿(≴∭⊉12350∌↝≴∭⊉12502)))=NaN","reverse_text":"NaN=≑⋹(⇵⪽((≴∭⊉5613⫃⨇≴∭⊉34224)⨿(≴∭⊉12350∌↝≴∭⊉12502)))","cot":[{"info":"≴∭⊉5613⫃⨇≴∭⊉34224=≴∭⊉-203306","layer":3},{"info":"≴∭⊉12350∌↝≴∭⊉12502=≴∭⊉0","layer":3},{"info":"≴∭⊉-203306⨿≴∭⊉0=≴∭⊉124","layer":2},{"info":"⇵⪽≴∭⊉124=NaN","layer":1},{"info":"≑⋹NaN=NaN","layer":0}]}
+{"id":490,"expression_no_base_symbol":"((⊬↢$1260$)⋣⋖($4033$≚⋢)≠≀(($1122$↡⊰⫅$2130$)⊋≦⊧$4893$↬$1090$))∓⋝(($7416$⋭≵$1520$)∴≳≥)⨿(($4182$⊴$2009$)⨚$1125$↓$1087$)","expression":"((⊬↢≴∭⊉3450)⋣⋖(≴∭⊉14521≚⋢)≠≀((≴∭⊉3162↡⊰⫅≴∭⊉6132)⊋≦⊧≴∭⊉20160↬≴∭⊉3115))∓⋝((≴∭⊉30423⋭≵≴∭⊉4301)∴≳≥)⨿((≴∭⊉15123⊴≴∭⊉5600)⨚≴∭⊉3165↓≴∭⊉3112)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":49201,"operation_count":14,"complexity_ratio":3514.3571428571427,"tree":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"numeric_atoms","value":1260,"base":7}},"right_expr":{"type":"unary","operator":"≚⋢","unary_expr":{"type":"numeric_atoms","value":4033,"base":7}}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":1122,"base":7},"right_expr":{"type":"numeric_atoms","value":2130,"base":7}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":4893,"base":7},"right_expr":{"type":"numeric_atoms","value":1090,"base":7}}}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"unary","operator":"∴≳≥","unary_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":7416,"base":7},"right_expr":{"type":"numeric_atoms","value":1520,"base":7}}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":4182,"base":7},"right_expr":{"type":"numeric_atoms","value":2009,"base":7}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":1125,"base":7},"right_expr":{"type":"numeric_atoms","value":1087,"base":7}}}}},"used_operators":["PoHhknlbAi","IwW236VD4Y","J0M6qkBnIM","WPoGxAaPR1","MahUMFw56D","oRDoc9rAEX","VCtxkLNOzz","B5M0gjZbta","abYXlopdE0","a3N2hFLK0J","jBncVCNhdl","nREPSIbpBE","Nsiff2A1zJ","Af076pWI7l"],"dependent_operators":["DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","3ViojmjbAp","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","rGHVDoGpnC","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","g55IO6H4Gj","DpFCA1CohY","xUOZtlo3hN","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","BjRHVeLaeN","12rbrZMWeM","dWAJyo7jo9","14qkJME0vr","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi"],"result":"≴∭⊉-256","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1260","layer":4},{"info":"compute unary expreesion, input=1260, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=218","layer":3},{"info":"number node, value=4033","layer":4},{"info":"compute unary expreesion, input=4033, op_id = MahUMFw56D, unary_op_definition = 'a≚⋢ = { (a⨓86) }', output=-89","layer":3},{"info":"compute binary expreesion, left_input=218, right_input=-89, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=218","layer":2},{"info":"number node, value=1122","layer":4},{"info":"number node, value=2130","layer":4},{"info":"compute binary expreesion, left_input=1122, right_input=2130, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=4260","layer":3},{"info":"number node, value=4893","layer":4},{"info":"number node, value=1090","layer":4},{"info":"compute binary expreesion, left_input=4893, right_input=1090, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=4260, right_input=nan, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=218, right_input=nan, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-130","layer":1},{"info":"number node, value=7416","layer":4},{"info":"number node, value=1520","layer":4},{"info":"compute binary expreesion, left_input=7416, right_input=1520, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"compute unary expreesion, input=67, op_id = a3N2hFLK0J, unary_op_definition = 'a∴≳≥ = { (⨞⊢a) , if (⋗⩬⋾a)==641 ; (a⨸⪁a) , else }', output=268","layer":2},{"info":"number node, value=4182","layer":4},{"info":"number node, value=2009","layer":4},{"info":"compute binary expreesion, left_input=4182, right_input=2009, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1125","layer":4},{"info":"number node, value=1087","layer":4},{"info":"compute binary expreesion, left_input=1125, right_input=1087, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-134, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=268, right_input=nan, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":1},{"info":"compute binary expreesion, left_input=-130, right_input=-319, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=-139","layer":0}],"base":7,"result_base":7,"text":"((⊬↢≴∭⊉3450)⋣⋖(≴∭⊉14521≚⋢)≠≀((≴∭⊉3162↡⊰⫅≴∭⊉6132)⊋≦⊧≴∭⊉20160↬≴∭⊉3115))∓⋝((≴∭⊉30423⋭≵≴∭⊉4301)∴≳≥)⨿((≴∭⊉15123⊴≴∭⊉5600)⨚≴∭⊉3165↓≴∭⊉3112)=≴∭⊉-256","reverse_text":"≴∭⊉-256=((⊬↢≴∭⊉3450)⋣⋖(≴∭⊉14521≚⋢)≠≀((≴∭⊉3162↡⊰⫅≴∭⊉6132)⊋≦⊧≴∭⊉20160↬≴∭⊉3115))∓⋝((≴∭⊉30423⋭≵≴∭⊉4301)∴≳≥)⨿((≴∭⊉15123⊴≴∭⊉5600)⨚≴∭⊉3165↓≴∭⊉3112)","cot":[{"info":"⊬↢≴∭⊉3450=≴∭⊉431","layer":3},{"info":"≴∭⊉14521≚⋢=≴∭⊉-155","layer":3},{"info":"≴∭⊉431⋣⋖≴∭⊉-155=≴∭⊉431","layer":2},{"info":"≴∭⊉3162↡⊰⫅≴∭⊉6132=≴∭⊉15264","layer":3},{"info":"≴∭⊉20160↬≴∭⊉3115=NaN","layer":3},{"info":"≴∭⊉15264⊋≦⊧NaN=NaN","layer":2},{"info":"≴∭⊉431≠≀NaN=≴∭⊉-244","layer":1},{"info":"≴∭⊉30423⋭≵≴∭⊉4301=≴∭⊉124","layer":3},{"info":"≴∭⊉124∴≳≥=≴∭⊉532","layer":2},{"info":"≴∭⊉15123⊴≴∭⊉5600=NaN","layer":3},{"info":"≴∭⊉3165↓≴∭⊉3112=≴∭⊉-251","layer":3},{"info":"NaN⨚≴∭⊉-251=NaN","layer":2},{"info":"≴∭⊉532⨿NaN=≴∭⊉-634","layer":1},{"info":"≴∭⊉-244∓⋝≴∭⊉-634=≴∭⊉-256","layer":0}]}
+{"id":491,"expression_no_base_symbol":"(($1944$≎⪠$2465$⊔($5233$⋭≵$1482$))≹⇙⪍(⨴⫝$4335$)↓($3505$⊴$3300$))≁↽≥((⋠∜(⪓⩚$7733$))⫘($6514$⩌⋺$3376$⩭))","expression":"((≴∭⊉5445≎⪠≴∭⊉10121⊔(≴∭⊉21154⋭≵≴∭⊉4215))≹⇙⪍(⨴⫝≴∭⊉15432)↓(≴∭⊉13135⊴≴∭⊉12423))≁↽≥((⋠∜(⪓⩚≴∭⊉31355))⫘(≴∭⊉24664⩌⋺≴∭⊉12562⩭))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":252667,"operation_count":13,"complexity_ratio":19435.923076923078,"tree":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":1944,"base":7},"right_expr":{"type":"numeric_atoms","value":2465,"base":7}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":5233,"base":7},"right_expr":{"type":"numeric_atoms","value":1482,"base":7}}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"numeric_atoms","value":4335,"base":7}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3505,"base":7},"right_expr":{"type":"numeric_atoms","value":3300,"base":7}}}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"numeric_atoms","value":7733,"base":7}}},"right_expr":{"type":"unary","operator":"⩭","unary_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":6514,"base":7},"right_expr":{"type":"numeric_atoms","value":3376,"base":7}}}}},"used_operators":["ncHt1X6cMc","AHs5Up7iyr","E4l6HwMY31","aNhz54LH3e","jBncVCNhdl","Af076pWI7l","SVb2v531z1","Nsiff2A1zJ","48vC8HMD2b","ZJpFhNJr3x","u0R0Locfp2","yIPP7u6H5x","g7Hmc5v1ko"],"dependent_operators":["oWn0xqSxBt","3Oe9XWJUTD","dWAJyo7jo9","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","dWAJyo7jo9","14qkJME0vr","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","nOKPl9n5zu","SUmda5xLS4","9HNa5Wba9A","fu6greOZ01","3tVxb0NHM4","GjBEYRfMaF","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1944","layer":4},{"info":"number node, value=2465","layer":4},{"info":"compute binary expreesion, left_input=1944, right_input=2465, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"number node, value=5233","layer":4},{"info":"number node, value=1482","layer":4},{"info":"compute binary expreesion, left_input=5233, right_input=1482, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=19558, right_input=67, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=37051","layer":2},{"info":"number node, value=4335","layer":4},{"info":"compute unary expreesion, input=4335, op_id = SVb2v531z1, unary_op_definition = '⨴⫝a = { ((⪨⨬(⇋↷a))≬⇓((a⋅⇍a)⨑≵⋬(∡178))) , if (a⪇≇⋚963)!=62 ; (((541⋛107)⩼⇪↪(⪭⩑⪱a))⋻⩜⩜((a⊕∕a)∼(459⨽6))) , else }', output=2828198","layer":3},{"info":"number node, value=3505","layer":4},{"info":"number node, value=3300","layer":4},{"info":"compute binary expreesion, left_input=3505, right_input=3300, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2828198, right_input=nan, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":2},{"info":"compute binary expreesion, left_input=37051, right_input=-134, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"number node, value=7733","layer":4},{"info":"compute unary expreesion, input=7733, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":3},{"info":"compute unary expreesion, input=426, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=3988","layer":2},{"info":"number node, value=6514","layer":4},{"info":"number node, value=3376","layer":4},{"info":"compute binary expreesion, left_input=6514, right_input=3376, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-10011","layer":3},{"info":"compute unary expreesion, input=-10011, op_id = yIPP7u6H5x, unary_op_definition = 'a⩭ = { (((a⨐⩸⫘a)⪎↠(696*a))⪔(224⪄(⋗⩴⪓a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=3988, right_input=nan, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=4694293","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=4694293, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉5445≎⪠≴∭⊉10121⊔(≴∭⊉21154⋭≵≴∭⊉4215))≹⇙⪍(⨴⫝≴∭⊉15432)↓(≴∭⊉13135⊴≴∭⊉12423))≁↽≥((⋠∜(⪓⩚≴∭⊉31355))⫘(≴∭⊉24664⩌⋺≴∭⊉12562⩭))=NaN","reverse_text":"NaN=((≴∭⊉5445≎⪠≴∭⊉10121⊔(≴∭⊉21154⋭≵≴∭⊉4215))≹⇙⪍(⨴⫝≴∭⊉15432)↓(≴∭⊉13135⊴≴∭⊉12423))≁↽≥((⋠∜(⪓⩚≴∭⊉31355))⫘(≴∭⊉24664⩌⋺≴∭⊉12562⩭))","cot":[{"info":"≴∭⊉5445≎⪠≴∭⊉10121=≴∭⊉111010","layer":3},{"info":"≴∭⊉21154⋭≵≴∭⊉4215=≴∭⊉124","layer":3},{"info":"≴∭⊉111010⊔≴∭⊉124=≴∭⊉213010","layer":2},{"info":"⨴⫝≴∭⊉15432=≴∭⊉33016322","layer":3},{"info":"≴∭⊉13135⊴≴∭⊉12423=NaN","layer":3},{"info":"≴∭⊉33016322↓NaN=≴∭⊉-251","layer":2},{"info":"≴∭⊉213010≹⇙⪍≴∭⊉-251=NaN","layer":1},{"info":"⪓⩚≴∭⊉31355=≴∭⊉1146","layer":3},{"info":"⋠∜≴∭⊉1146=≴∭⊉14425","layer":2},{"info":"≴∭⊉24664⩌⋺≴∭⊉12562=≴∭⊉-41121","layer":3},{"info":"≴∭⊉-41121⩭=NaN","layer":2},{"info":"≴∭⊉14425⫘NaN=≴∭⊉54620662","layer":1},{"info":"NaN≁↽≥≴∭⊉54620662=NaN","layer":0}]}
+{"id":492,"expression_no_base_symbol":"(⋗⩴⪓$6524$∴$1030$∋$5376$⫞⩸⩒$3720$)⨎($4086$≃$1654$⨔≚≋($1468$⫦⪉$3352$))⨫⇇↔($5523$⊮⊟↴$1883$⫲≸⪮$2386$↬$4982$)","expression":"(⋗⩴⪓≴∭⊉25010∴≴∭⊉3001∋≴∭⊉21450⫞⩸⩒≴∭⊉13563)⨎(≴∭⊉14625≃≴∭⊉4552⨔≚≋(≴∭⊉4165⫦⪉≴∭⊉12526))⨫⇇↔(≴∭⊉22050⊮⊟↴≴∭⊉5330⫲≸⪮≴∭⊉6646↬≴∭⊉20345)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":323,"operation_count":12,"complexity_ratio":26.916666666666668,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":6524,"base":7},"right_expr":{"type":"numeric_atoms","value":1030,"base":7}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":5376,"base":7},"right_expr":{"type":"numeric_atoms","value":3720,"base":7}}}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":4086,"base":7},"right_expr":{"type":"numeric_atoms","value":1654,"base":7}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":1468,"base":7},"right_expr":{"type":"numeric_atoms","value":3352,"base":7}}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":5523,"base":7},"right_expr":{"type":"numeric_atoms","value":1883,"base":7}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2386,"base":7},"right_expr":{"type":"numeric_atoms","value":4982,"base":7}}}}},"used_operators":["rJVOvQCfKK","nOKPl9n5zu","ukq6epAj5P","hrf7POJlIJ","XGcMNugi78","LXhwmt4mBO","Z57zeUYC9z","YbVcJGFEVW","wscyQdcy20","P3lXMJvFrc","QDVgd2eftb","B5M0gjZbta"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","rGHVDoGpnC"],"result":"≴∭⊉-1352","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6524","layer":4},{"info":"number node, value=1030","layer":4},{"info":"compute binary expreesion, left_input=6524, right_input=1030, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=14696","layer":3},{"info":"number node, value=5376","layer":4},{"info":"number node, value=3720","layer":4},{"info":"compute binary expreesion, left_input=5376, right_input=3720, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=3720","layer":3},{"info":"compute binary expreesion, left_input=14696, right_input=3720, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=8418360","layer":2},{"info":"compute unary expreesion, input=8418360, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=-8417447","layer":1},{"info":"number node, value=4086","layer":4},{"info":"number node, value=1654","layer":4},{"info":"compute binary expreesion, left_input=4086, right_input=1654, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-16384","layer":3},{"info":"number node, value=1468","layer":4},{"info":"number node, value=3352","layer":4},{"info":"compute binary expreesion, left_input=1468, right_input=3352, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=1964","layer":3},{"info":"compute binary expreesion, left_input=-16384, right_input=1964, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=243672","layer":2},{"info":"number node, value=5523","layer":4},{"info":"number node, value=1883","layer":4},{"info":"compute binary expreesion, left_input=5523, right_input=1883, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"number node, value=2386","layer":4},{"info":"number node, value=4982","layer":4},{"info":"compute binary expreesion, left_input=2386, right_input=4982, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=243672, right_input=0, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":1},{"info":"compute binary expreesion, left_input=-8417447, right_input=-527, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-527","layer":0}],"base":7,"result_base":7,"text":"(⋗⩴⪓≴∭⊉25010∴≴∭⊉3001∋≴∭⊉21450⫞⩸⩒≴∭⊉13563)⨎(≴∭⊉14625≃≴∭⊉4552⨔≚≋(≴∭⊉4165⫦⪉≴∭⊉12526))⨫⇇↔(≴∭⊉22050⊮⊟↴≴∭⊉5330⫲≸⪮≴∭⊉6646↬≴∭⊉20345)=≴∭⊉-1352","reverse_text":"≴∭⊉-1352=(⋗⩴⪓≴∭⊉25010∴≴∭⊉3001∋≴∭⊉21450⫞⩸⩒≴∭⊉13563)⨎(≴∭⊉14625≃≴∭⊉4552⨔≚≋(≴∭⊉4165⫦⪉≴∭⊉12526))⨫⇇↔(≴∭⊉22050⊮⊟↴≴∭⊉5330⫲≸⪮≴∭⊉6646↬≴∭⊉20345)","cot":[{"info":"≴∭⊉25010∴≴∭⊉3001=≴∭⊉60563","layer":3},{"info":"≴∭⊉21450⫞��⩒≴∭⊉13563=≴∭⊉13563","layer":3},{"info":"≴∭⊉60563∋≴∭⊉13563=≴∭⊉131361216","layer":2},{"info":"⋗⩴⪓≴∭⊉131361216=≴∭⊉-131355443","layer":1},{"info":"≴∭⊉14625≃≴∭⊉4552=≴∭⊉-65524","layer":3},{"info":"≴∭⊉4165⫦⪉≴∭⊉12526=≴∭⊉5504","layer":3},{"info":"≴∭⊉-65524⨔≚≋≴∭⊉5504=≴∭⊉2033262","layer":2},{"info":"≴∭⊉22050⊮⊟↴≴∭⊉5330=≴∭⊉0","layer":3},{"info":"≴∭⊉6646↬≴∭⊉20345=NaN","layer":3},{"info":"≴∭⊉0⫲≸⪮NaN=≴∭⊉0","layer":2},{"info":"≴∭⊉2033262⨫⇇↔≴∭⊉0=≴∭⊉-1352","layer":1},{"info":"≴∭⊉-131355443⨎≴∭⊉-1352=≴∭⊉-1352","layer":0}]}
+{"id":493,"expression_no_base_symbol":"(($1621$≹⇙⪍$3954$⨵⪆$5852$⫦⪉$4146$)⪉⨛(⊊≼∋($1226$⪉⨛$1937$)))⩼⇪↪((⇨$5914$)⪃⊛⇣($6498$↤⩊$3298$)+⪬∐($1879$≁↽≥$2311$⊴($3485$⪶≀⋏$6602$)))","expression":"((≴∭⊉4504≹⇙⪍≴∭⊉14346⨵⪆≴∭⊉23030⫦⪉≴∭⊉15042)⪉⨛(⊊≼∋(≴∭⊉3401⪉⨛≴∭⊉5435)))⩼⇪↪((⇨≴∭⊉23146)⪃⊛⇣(≴∭⊉24642↤⩊≴∭⊉12421)+⪬∐(≴∭⊉5323≁↽≥≴∭⊉6511⊴(≴∭⊉13106⪶≀⋏≴∭⊉25151)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":49736,"operation_count":14,"complexity_ratio":3552.5714285714284,"tree":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1621,"base":7},"right_expr":{"type":"numeric_atoms","value":3954,"base":7}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":5852,"base":7},"right_expr":{"type":"numeric_atoms","value":4146,"base":7}}},"right_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":1226,"base":7},"right_expr":{"type":"numeric_atoms","value":1937,"base":7}}}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"numeric_atoms","value":5914,"base":7}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":6498,"base":7},"right_expr":{"type":"numeric_atoms","value":3298,"base":7}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":1879,"base":7},"right_expr":{"type":"numeric_atoms","value":2311,"base":7}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":3485,"base":7},"right_expr":{"type":"numeric_atoms","value":6602,"base":7}}}}},"used_operators":["ocnLzx9CaJ","EWw2JM7wp4","2DQ55sFlQl","AHs5Up7iyr","wscyQdcy20","FWz7pXsQhA","2GS7woTJqF","rrgAzCduG9","G9tJMlZ94a","13rbtpv6ld","Nsiff2A1zJ","ncHt1X6cMc","zR4jO40bMj"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","B5M0gjZbta","jCPkEVoL5K","g55IO6H4Gj","D4vGDi5EA2","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","k8jYdgA6NY","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","dWAJyo7jo9","14qkJME0vr","oWn0xqSxBt","3Oe9XWJUTD","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL"],"result":"≴∭⊉151066","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1621","layer":4},{"info":"number node, value=3954","layer":4},{"info":"compute binary expreesion, left_input=1621, right_input=3954, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=5852","layer":4},{"info":"number node, value=4146","layer":4},{"info":"compute binary expreesion, left_input=5852, right_input=4146, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-6804","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-6804, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=1226","layer":4},{"info":"number node, value=1937","layer":4},{"info":"compute binary expreesion, left_input=1226, right_input=1937, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=1956","layer":3},{"info":"compute unary expreesion, input=1956, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-447, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=2036","layer":1},{"info":"number node, value=5914","layer":4},{"info":"compute unary expreesion, input=5914, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":3},{"info":"number node, value=6498","layer":4},{"info":"number node, value=3298","layer":4},{"info":"compute binary expreesion, left_input=6498, right_input=3298, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":2},{"info":"number node, value=1879","layer":4},{"info":"number node, value=2311","layer":4},{"info":"compute binary expreesion, left_input=1879, right_input=2311, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=29649","layer":3},{"info":"number node, value=3485","layer":4},{"info":"number node, value=6602","layer":4},{"info":"compute binary expreesion, left_input=3485, right_input=6602, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-23891","layer":3},{"info":"compute binary expreesion, left_input=29649, right_input=-23891, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=nan, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-3702","layer":1},{"info":"compute binary expreesion, left_input=2036, right_input=-3702, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=29203","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉4504≹⇙⪍≴∭⊉14346⨵⪆≴∭⊉23030⫦⪉≴∭⊉15042)⪉⨛(⊊≼∋(≴∭⊉3401⪉⨛≴∭⊉5435)))⩼⇪↪((⇨≴∭⊉23146)⪃⊛⇣(≴∭⊉24642↤⩊≴∭⊉12421)+⪬∐(≴∭⊉5323≁↽≥≴∭⊉6511⊴(≴∭⊉13106⪶≀⋏≴∭⊉25151)))=≴∭⊉151066","reverse_text":"≴∭⊉151066=((≴∭⊉4504≹⇙⪍≴∭⊉14346⨵⪆≴∭⊉23030⫦⪉≴∭⊉15042)⪉⨛(⊊≼∋(≴∭⊉3401⪉⨛≴∭⊉5435)))⩼⇪↪((⇨≴∭⊉23146)⪃⊛⇣(≴∭⊉24642↤⩊≴∭⊉12421)+⪬∐(≴∭⊉5323≁↽≥≴∭⊉6511⊴(≴∭⊉13106⪶≀⋏≴∭⊉25151)))","cot":[{"info":"≴∭⊉4504≹⇙⪍≴∭⊉14346=NaN","layer":3},{"info":"≴∭⊉23030⫦⪉≴∭⊉15042=≴∭⊉-25560","layer":3},{"info":"NaN⨵⪆≴∭⊉-25560=≴∭⊉316","layer":2},{"info":"≴∭⊉3401⪉⨛≴∭⊉5435=≴∭⊉5463","layer":3},{"info":"⊊≼∋≴∭⊉5463=≴∭⊉-1206","layer":2},{"info":"≴∭⊉316⪉⨛≴∭⊉-1206=≴∭⊉5636","layer":1},{"info":"⇨≴∭⊉23146=≴∭⊉0","layer":3},{"info":"≴∭⊉24642↤⩊≴∭⊉12421=NaN","layer":3},{"info":"≴∭⊉0⪃⊛⇣NaN=≴∭⊉3412","layer":2},{"info":"≴∭⊉5323≁↽≥≴∭⊉6511=≴∭⊉152304","layer":3},{"info":"≴∭⊉13106⪶≀⋏≴∭⊉25151=≴∭⊉-126440","layer":3},{"info":"≴∭⊉152304⊴≴∭⊉-126440=NaN","layer":2},{"info":"≴∭⊉3412+⪬∐NaN=≴∭⊉-13536","layer":1},{"info":"≴∭⊉5636⩼⇪↪≴∭⊉-13536=≴∭⊉151066","layer":0}]}
+{"id":494,"expression_no_base_symbol":"(⇉-⫰($1309$∛$2765$⩠))⊹∫⫚((↔(≻⋜$4841$))+(≘$1197$)⩖⊿$2871$⇂≾⫗$1546$)","expression":"(⇉-⫰(≴∭⊉3550∛≴∭⊉11030⩠))⊹∫⫚((↔(≻⋜≴∭⊉20054))+(≘≴∭⊉3330)⩖⊿≴∭⊉11241⇂≾⫗≴∭⊉4336)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":131978,"operation_count":10,"complexity_ratio":13197.8,"tree":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":1309,"base":7},"right_expr":{"type":"numeric_atoms","value":2765,"base":7}}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"numeric_atoms","value":4841,"base":7}}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"numeric_atoms","value":1197,"base":7}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":2871,"base":7},"right_expr":{"type":"numeric_atoms","value":1546,"base":7}}}}},"used_operators":["uWAJUKEvyW","IGFM8TAlm9","sJAwomhLZr","w2537kitQq","W4YGzv6Whe","ruOEQAzv1W","3tj9sqzovi","RZ5CV9rWsJ","tcjXMdvYtA","aBQ6xLxuTc"],"dependent_operators":["BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","eH2TOUuTDT","eewbuw0ToL","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U"],"result":"≴∭⊉-231","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1309","layer":4},{"info":"number node, value=2765","layer":4},{"info":"compute binary expreesion, left_input=1309, right_input=2765, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"compute unary expreesion, input=-670, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=2889","layer":2},{"info":"compute unary expreesion, input=2889, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":1},{"info":"number node, value=4841","layer":4},{"info":"compute unary expreesion, input=4841, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":2},{"info":"number node, value=1197","layer":4},{"info":"compute unary expreesion, input=1197, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=2640169","layer":3},{"info":"number node, value=2871","layer":4},{"info":"number node, value=1546","layer":4},{"info":"compute binary expreesion, left_input=2871, right_input=1546, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"compute binary expreesion, left_input=2640169, right_input=-676, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-10566166","layer":2},{"info":"compute binary expreesion, left_input=-134, right_input=-10566166, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-10566300","layer":1},{"info":"compute binary expreesion, left_input=20, right_input=-10566300, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-120","layer":0}],"base":7,"result_base":7,"text":"(⇉-⫰(≴∭⊉3550∛≴∭⊉11030⩠))⊹∫⫚((↔(≻⋜≴∭⊉20054))+(≘≴∭⊉3330)⩖⊿≴∭⊉11241⇂≾⫗≴∭⊉4336)=≴∭⊉-231","reverse_text":"≴∭⊉-231=(⇉-⫰(≴∭⊉3550∛≴∭⊉11030⩠))⊹∫⫚((↔(≻⋜≴∭⊉20054))+(≘≴∭⊉3330)⩖⊿≴∭⊉11241⇂≾⫗≴∭⊉4336)","cot":[{"info":"≴∭⊉3550∛≴∭⊉11030=≴∭⊉-1645","layer":3},{"info":"≴∭⊉-1645⩠=≴∭⊉11265","layer":2},{"info":"⇉-⫰≴∭⊉11265=≴∭⊉26","layer":1},{"info":"≻⋜≴∭⊉20054=NaN","layer":3},{"info":"↔NaN=≴∭⊉-251","layer":2},{"info":"≘≴∭⊉3330=≴∭⊉31304200","layer":3},{"info":"≴∭⊉11241⇂≾⫗≴∭⊉4336=≴∭⊉-1654","layer":3},{"info":"≴∭⊉31304200⩖⊿≴∭⊉-1654=≴∭⊉-155545102","layer":2},{"info":"≴∭⊉-251+≴∭⊉-155545102=≴∭⊉-155545353","layer":1},{"info":"≴∭⊉26⊹∫⫚≴∭⊉-155545353=≴∭⊉-231","layer":0}]}
+{"id":495,"expression_no_base_symbol":"($7883$↤⩊$2786$∲⫓$4009$⫯⪬∳$4598$)⪎↠((⪲⇎$2940$)∷$5874$≭$1066$)⫚⫇","expression":"(≴∭⊉31661↤⩊≴∭⊉11060∲⫓≴∭⊉14455⫯⪬∳≴∭⊉16256)⪎↠((⪲⇎≴∭⊉11400)∷≴∭⊉23061≭≴∭⊉3052)⫚⫇","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":207,"operation_count":8,"complexity_ratio":25.875,"tree":{"type":"unary","operator":"⫚⫇","unary_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":7883,"base":7},"right_expr":{"type":"numeric_atoms","value":2786,"base":7}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":4009,"base":7},"right_expr":{"type":"numeric_atoms","value":4598,"base":7}}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":2940,"base":7}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":5874,"base":7},"right_expr":{"type":"numeric_atoms","value":1066,"base":7}}}}},"used_operators":["SdCjLnB6rR","3tVxb0NHM4","i8ToyICDmI","13rbtpv6ld","d7ASUq0ydm","D3AQDKkPcf","XPYlsWDdGa","rxpJgHHUmx"],"dependent_operators":["Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","2td37pGCOC","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","9FxExcQeMw","NTOWxs364D","7j4O788W3g","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr"],"result":"≴∭⊉532","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=7883","layer":4},{"info":"number node, value=2786","layer":4},{"info":"compute binary expreesion, left_input=7883, right_input=2786, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"number node, value=4009","layer":4},{"info":"number node, value=4598","layer":4},{"info":"compute binary expreesion, left_input=4009, right_input=4598, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=15480","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=15480, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"number node, value=2940","layer":4},{"info":"compute unary expreesion, input=2940, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=5880","layer":3},{"info":"number node, value=5874","layer":4},{"info":"number node, value=1066","layer":4},{"info":"compute binary expreesion, left_input=5874, right_input=1066, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=5880, right_input=nan, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=868","layer":1},{"info":"compute unary expreesion, input=868, op_id = SdCjLnB6rR, unary_op_definition = 'a⫚⫇ = { ((⨞⊢87)⨸⪁((⩦⩻⨪a)≧⫂∧a)) }', output=268","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉31661↤⩊≴∭⊉11060∲⫓≴∭⊉14455⫯⪬∳≴∭⊉16256)⪎↠((⪲⇎≴∭⊉11400)∷≴∭⊉23061≭≴∭⊉3052)⫚⫇=≴∭⊉532","reverse_text":"≴∭⊉532=(≴∭⊉31661↤⩊≴∭⊉11060∲⫓≴∭⊉14455⫯⪬∳≴∭⊉16256)⪎↠((⪲⇎≴∭⊉11400)∷≴∭⊉23061≭≴∭⊉3052)⫚⫇","cot":[{"info":"≴∭⊉31661↤⩊≴∭⊉11060=NaN","layer":3},{"info":"≴∭⊉14455⫯⪬∳≴∭⊉16256=≴∭⊉63063","layer":3},{"info":"NaN∲⫓≴∭⊉63063=≴∭⊉0","layer":2},{"info":"⪲⇎≴∭⊉11400=≴∭⊉23100","layer":3},{"info":"≴∭⊉23061≭≴∭⊉3052=NaN","layer":3},{"info":"≴∭⊉23100∷NaN=NaN","layer":2},{"info":"≴∭⊉0⪎↠NaN=≴∭⊉2350","layer":1},{"info":"≴∭⊉2350⫚⫇=≴∭⊉532","layer":0}]}
+{"id":496,"expression_no_base_symbol":"((($3534$-$2996$)∖($6531$⫌⩹⨱))⫳≱↱($2139$⫉⨲⊜$3570$)≦↸($4115$⩼⇪↪$7406$))⫰⋱((⫇(⊑$5562$))⨐⩸⫘($3635$⪕$6473$)⋹⋡⊁($2108$⫻⋑⊟))","expression":"(((≴∭⊉13206-≴∭⊉11510)∖(≴∭⊉25020⫌⩹⨱))⫳≱↱(≴∭⊉6144⫉⨲⊜≴∭⊉13260)≦↸(≴∭⊉14666⩼⇪↪≴∭⊉30410))⫰⋱((⫇(⊑≴∭⊉22134))⨐⩸⫘(≴∭⊉13412⪕≴∭⊉24605)⋹⋡⊁(≴∭⊉6101⫻⋑⊟))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":2190,"operation_count":14,"complexity_ratio":156.42857142857142,"tree":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3534,"base":7},"right_expr":{"type":"numeric_atoms","value":2996,"base":7}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":6531,"base":7}}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":2139,"base":7},"right_expr":{"type":"numeric_atoms","value":3570,"base":7}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":4115,"base":7},"right_expr":{"type":"numeric_atoms","value":7406,"base":7}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"numeric_atoms","value":5562,"base":7}}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":3635,"base":7},"right_expr":{"type":"numeric_atoms","value":6473,"base":7}},"right_expr":{"type":"unary","operator":"⫻⋑⊟","unary_expr":{"type":"numeric_atoms","value":2108,"base":7}}}}},"used_operators":["6o9Blt3TJ6","ZvLB05nZmT","tXD093vOjl","rysDP5nf3Z","EBcxylXtPf","RygbFNSyEJ","WhqkvtTD3t","ocnLzx9CaJ","fu6greOZ01","YjI8oCXuph","IkUmn0D7oy","As8RqfVLgs","umQnsF7QlU","o575Zjdmzy"],"dependent_operators":["W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","W4YGzv6Whe","rysDP5nf3Z","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","zVYPLywUTj","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","3ViojmjbAp","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","rysDP5nf3Z","sdazOOVcIp","12rbrZMWeM","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3534","layer":4},{"info":"number node, value=2996","layer":4},{"info":"compute binary expreesion, left_input=3534, right_input=2996, op_id = rysDP5nf3Z binary_op_definition= 'None', output=538","layer":3},{"info":"number node, value=6531","layer":4},{"info":"compute unary expreesion, input=6531, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=14463","layer":3},{"info":"compute binary expreesion, left_input=538, right_input=14463, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":2},{"info":"number node, value=2139","layer":4},{"info":"number node, value=3570","layer":4},{"info":"compute binary expreesion, left_input=2139, right_input=3570, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"number node, value=4115","layer":4},{"info":"number node, value=7406","layer":4},{"info":"compute binary expreesion, left_input=4115, right_input=7406, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-44395","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-44395, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=681","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=681, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":1},{"info":"number node, value=5562","layer":4},{"info":"compute unary expreesion, input=5562, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":3},{"info":"compute unary expreesion, input=192, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=900","layer":2},{"info":"number node, value=3635","layer":4},{"info":"number node, value=6473","layer":4},{"info":"compute binary expreesion, left_input=3635, right_input=6473, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=1698","layer":3},{"info":"number node, value=2108","layer":4},{"info":"compute unary expreesion, input=2108, op_id = o575Zjdmzy, unary_op_definition = 'a⫻⋑⊟ = { ((a⨸⪁(⨞⊢a))⪨≂((a∲⫓a)⋳⪒(265-a))) }', output=-3706","layer":3},{"info":"compute binary expreesion, left_input=1698, right_input=-3706, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=13322","layer":2},{"info":"compute binary expreesion, left_input=900, right_input=13322, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-204, right_input=nan, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(((≴∭⊉13206-≴∭⊉11510)∖(≴∭⊉25020⫌⩹⨱))⫳≱↱(≴∭⊉6144⫉⨲⊜≴∭⊉13260)≦↸(≴∭⊉14666⩼⇪↪≴∭⊉30410))⫰⋱((⫇(⊑≴∭⊉22134))⨐⩸⫘(≴∭⊉13412⪕≴∭⊉24605)⋹⋡⊁(≴∭⊉6101⫻⋑⊟))=NaN","reverse_text":"NaN=(((≴∭⊉13206-≴∭⊉11510)∖(≴∭⊉25020⫌⩹⨱))⫳≱↱(≴∭⊉6144⫉⨲⊜≴∭⊉13260)≦↸(≴∭⊉14666⩼⇪↪≴∭⊉30410))⫰⋱((⫇(⊑≴∭⊉22134))⨐⩸⫘(≴∭⊉13412⪕≴∭⊉24605)⋹⋡⊁(≴∭⊉6101⫻⋑⊟))","cot":[{"info":"≴∭⊉13206-≴∭⊉11510=≴∭⊉1366","layer":3},{"info":"≴∭⊉25020⫌⩹⨱=≴∭⊉60111","layer":3},{"info":"≴∭⊉1366∖≴∭⊉60111=≴∭⊉0","layer":2},{"info":"≴∭⊉6144⫉⨲⊜≴∭⊉13260=≴∭⊉0","layer":3},{"info":"≴∭⊉14666⩼⇪↪≴∭⊉30410=≴∭⊉-243301","layer":3},{"info":"≴∭⊉0≦↸≴∭⊉-243301=≴∭⊉1662","layer":2},{"info":"≴∭⊉0⫳≱↱≴∭⊉1662=≴∭⊉-411","layer":1},{"info":"⊑≴∭⊉22134=≴∭⊉363","layer":3},{"info":"⫇≴∭⊉363=≴∭⊉2424","layer":2},{"info":"≴∭⊉13412⪕≴∭⊉24605=≴∭⊉4644","layer":3},{"info":"≴∭⊉6101⫻⋑⊟=≴∭⊉-13543","layer":3},{"info":"≴∭⊉4644⋹⋡⊁≴∭⊉-13543=≴∭⊉53561","layer":2},{"info":"≴∭⊉2424⨐⩸⫘≴∭⊉53561=NaN","layer":1},{"info":"≴∭⊉-411⫰⋱NaN=NaN","layer":0}]}
+{"id":497,"expression_no_base_symbol":"($5197$⨂≜$4409$≴⪞⇿($2227$⫰⋱$3273$)⪭≯(⨝⨆$2312$)⪶≀⋏$1915$⇍⊗$1886$)⊋((⨞⊢(↞≼$1039$))⊉≛↸(⇋↷$1623$)∓⋝($1011$≒∊$4556$))","expression":"(≴∭⊉21103⨂≜≴∭⊉15566≴⪞⇿(≴∭⊉6331⫰⋱≴∭⊉12354)⪭≯(⨝⨆≴∭⊉6512)⪶≀⋏≴∭⊉5404⇍⊗≴∭⊉5333)⊋((⨞⊢(↞≼≴∭⊉3013))⊉≛↸(⇋↷≴∭⊉4506)∓⋝(≴∭⊉2643≒∊≴∭⊉16166))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":5655,"operation_count":14,"complexity_ratio":403.92857142857144,"tree":{"type":"binary","operator":"⊋","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":5197,"base":7},"right_expr":{"type":"numeric_atoms","value":4409,"base":7}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":2227,"base":7},"right_expr":{"type":"numeric_atoms","value":3273,"base":7}}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"numeric_atoms","value":2312,"base":7}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":1915,"base":7},"right_expr":{"type":"numeric_atoms","value":1886,"base":7}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"numeric_atoms","value":1039,"base":7}}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"numeric_atoms","value":1623,"base":7}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":1011,"base":7},"right_expr":{"type":"numeric_atoms","value":4556,"base":7}}}}},"used_operators":["W4tP9CfskL","XAx5wpdLa6","lvlrscuwVU","k1SHOSEABc","6o9Blt3TJ6","zR4jO40bMj","bQ67fsrMVf","5uvYHDjeKN","DZ8iAZOCBD","xUOZtlo3hN","DE7zCoGJt9","PoHhknlbAi","SWo3A1KBJH","5KTvxBwnZo"],"dependent_operators":["2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","tifHPKVTfV","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl"],"result":"≴∭⊉-25544","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5197","layer":4},{"info":"number node, value=4409","layer":4},{"info":"compute binary expreesion, left_input=5197, right_input=4409, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"number node, value=2227","layer":4},{"info":"number node, value=3273","layer":4},{"info":"compute binary expreesion, left_input=2227, right_input=3273, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-2194","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2194, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=nan","layer":2},{"info":"number node, value=2312","layer":4},{"info":"compute unary expreesion, input=2312, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=2103","layer":3},{"info":"number node, value=1915","layer":4},{"info":"number node, value=1886","layer":4},{"info":"compute binary expreesion, left_input=1915, right_input=1886, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"compute binary expreesion, left_input=2103, right_input=-244, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-6053","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-6053, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":1},{"info":"number node, value=1039","layer":4},{"info":"compute unary expreesion, input=1039, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=7898","layer":3},{"info":"compute unary expreesion, input=7898, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-8072","layer":2},{"info":"number node, value=1623","layer":4},{"info":"compute unary expreesion, input=1623, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=12984","layer":3},{"info":"number node, value=1011","layer":4},{"info":"number node, value=4556","layer":4},{"info":"compute binary expreesion, left_input=1011, right_input=4556, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-527","layer":3},{"info":"compute binary expreesion, left_input=12984, right_input=-527, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":2},{"info":"compute binary expreesion, left_input=-8072, right_input=67, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-67","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-67, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=-6794","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉21103⨂≜≴∭⊉15566≴⪞⇿(≴∭⊉6331⫰⋱≴∭⊉12354)⪭≯(⨝⨆≴∭⊉6512)⪶≀⋏≴∭⊉5404⇍⊗≴∭⊉5333)⊋((⨞⊢(↞≼≴∭⊉3013))⊉≛↸(⇋↷≴∭⊉4506)∓⋝(≴∭⊉2643≒∊≴∭⊉16166))=≴∭⊉-25544","reverse_text":"≴∭⊉-25544=(≴∭⊉21103⨂≜≴∭⊉15566≴⪞⇿(≴∭⊉6331⫰⋱≴∭⊉12354)⪭≯(⨝⨆≴∭⊉6512)⪶≀⋏≴∭⊉5404⇍⊗≴∭⊉5333)⊋((⨞⊢(↞≼≴∭⊉3013))⊉≛↸(⇋↷≴∭⊉4506)∓⋝(≴∭⊉2643≒∊≴∭⊉16166))","cot":[{"info":"≴∭⊉21103⨂≜≴∭⊉15566=NaN","layer":3},{"info":"≴∭⊉6331⫰⋱≴∭⊉12354=≴∭⊉-6253","layer":3},{"info":"NaN≴⪞⇿≴∭⊉-6253=NaN","layer":2},{"info":"⨝⨆≴∭⊉6512=≴∭⊉6063","layer":3},{"info":"≴∭⊉5404⇍⊗≴∭⊉5333=≴∭⊉-466","layer":3},{"info":"≴∭⊉6063⪶≀⋏≴∭⊉-466=≴∭⊉-23435","layer":2},{"info":"NaN⪭≯≴∭⊉-23435=NaN","layer":1},{"info":"↞≼≴∭⊉3013=≴∭⊉32012","layer":3},{"info":"⨞⊢≴∭⊉32012=≴∭⊉-32351","layer":2},{"info":"⇋↷≴∭⊉4506=≴∭⊉52566","layer":3},{"info":"≴∭⊉2643≒∊≴∭⊉16166=≴∭⊉-1352","layer":3},{"info":"≴∭⊉52566∓⋝≴∭⊉-1352=≴∭⊉124","layer":2},{"info":"≴∭⊉-32351⊉≛↸≴∭⊉124=≴∭⊉-124","layer":1},{"info":"NaN⊋≴∭⊉-124=≴∭⊉-25544","layer":0}]}
+{"id":498,"expression_no_base_symbol":"($3226$↼⊘⨖$3236$⇴∐$1844$∺≝⩲$4133$)↳∿⪆(($1653$⇌⫙⪟$1079$)⨪↰⇹($1688$⫢⨠$1862$))⋭≵(⨈⪑((⪡⇡≛$1840$)%$6227$⪉⨛$1812$))","expression":"(≴∭⊉12256↼⊘⨖≴∭⊉12302⇴∐≴∭⊉5243∺≝⩲≴∭⊉15023)↳∿⪆((≴∭⊉4551⇌⫙⪟≴∭⊉3101)⨪↰⇹(≴∭⊉4631⫢⨠≴∭⊉5300))⋭≵(⨈⪑((⪡⇡≛≴∭⊉5236)%≴∭⊉24104⪉⨛≴∭⊉5166))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":28374,"operation_count":12,"complexity_ratio":2364.5,"tree":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":3226,"base":7},"right_expr":{"type":"numeric_atoms","value":3236,"base":7}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":1844,"base":7},"right_expr":{"type":"numeric_atoms","value":4133,"base":7}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":1653,"base":7},"right_expr":{"type":"numeric_atoms","value":1079,"base":7}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":1688,"base":7},"right_expr":{"type":"numeric_atoms","value":1862,"base":7}}}},"right_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"numeric_atoms","value":1840,"base":7}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":6227,"base":7},"right_expr":{"type":"numeric_atoms","value":1812,"base":7}}}}},"used_operators":["jBncVCNhdl","Cw4SuJJGHO","HnzytWxmAO","bPywburJMS","KPf6cnQVty","tmPS8pqC7x","AFVx7xoS7T","xlXykHWxX1","mp94q5OcYM","k8jYdgA6NY","qL4PrbW1Dq","EWw2JM7wp4"],"dependent_operators":["RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","rJVOvQCfKK","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","rysDP5nf3Z","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL"],"result":"≴∭⊉124","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3226","layer":4},{"info":"number node, value=3236","layer":4},{"info":"compute binary expreesion, left_input=3226, right_input=3236, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=6250","layer":3},{"info":"number node, value=1844","layer":4},{"info":"number node, value=4133","layer":4},{"info":"compute binary expreesion, left_input=1844, right_input=4133, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=6250, right_input=160, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":2},{"info":"number node, value=1653","layer":4},{"info":"number node, value=1079","layer":4},{"info":"compute binary expreesion, left_input=1653, right_input=1079, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"number node, value=1688","layer":4},{"info":"number node, value=1862","layer":4},{"info":"compute binary expreesion, left_input=1688, right_input=1862, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=160, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=113","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=113, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":1},{"info":"number node, value=1840","layer":4},{"info":"compute unary expreesion, input=1840, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-1840","layer":3},{"info":"number node, value=6227","layer":4},{"info":"number node, value=1812","layer":4},{"info":"compute binary expreesion, left_input=6227, right_input=1812, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=17084","layer":3},{"info":"compute binary expreesion, left_input=-1840, right_input=17084, op_id = k8jYdgA6NY binary_op_definition= 'None', output=15244","layer":2},{"info":"compute unary expreesion, input=15244, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=868, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉12256↼⊘⨖≴∭⊉12302⇴∐≴∭⊉5243∺≝⩲≴∭⊉15023)↳∿⪆((≴∭⊉4551⇌⫙⪟≴∭⊉3101)⨪↰⇹(≴∭⊉4631⫢⨠≴∭⊉5300))⋭≵(⨈⪑((⪡⇡≛≴∭⊉5236)%≴∭⊉24104⪉⨛≴∭⊉5166))=≴∭⊉124","reverse_text":"≴∭⊉124=(≴∭⊉12256↼⊘⨖≴∭⊉12302⇴∐≴∭⊉5243∺≝⩲≴∭⊉15023)↳∿⪆((≴∭⊉4551⇌⫙⪟≴∭⊉3101)⨪↰⇹(≴∭⊉4631⫢⨠≴∭⊉5300))⋭≵(⨈⪑((⪡⇡≛≴∭⊉5236)%≴∭⊉24104⪉⨛≴∭⊉5166))","cot":[{"info":"≴∭⊉12256↼⊘⨖≴∭⊉12302=≴∭⊉24136","layer":3},{"info":"≴∭⊉5243∺≝⩲≴∭⊉15023=≴∭⊉316","layer":3},{"info":"≴∭⊉24136⇴∐≴∭⊉316=NaN","layer":2},{"info":"≴∭⊉4551⇌⫙⪟≴∭⊉3101=≴∭⊉221","layer":3},{"info":"≴∭⊉4631⫢⨠≴∭⊉5300=≴∭⊉316","layer":3},{"info":"≴∭⊉221⨪↰⇹≴∭⊉316=≴∭⊉221","layer":2},{"info":"NaN↳∿⪆≴∭⊉221=NaN","layer":1},{"info":"⪡⇡≛≴∭⊉5236=≴∭⊉-5236","layer":3},{"info":"≴∭⊉24104⪉⨛≴∭⊉5166=≴∭⊉100544","layer":3},{"info":"≴∭⊉-5236%≴∭⊉100544=≴∭⊉62305","layer":2},{"info":"⨈⪑≴∭⊉62305=≴∭⊉2350","layer":1},{"info":"NaN⋭≵≴∭⊉2350=≴∭⊉124","layer":0}]}
+{"id":499,"expression_no_base_symbol":"($2167$⪪$9703$⨐⩸⫘($2021$⇼⇔∾$2354$))⪢((⩏⊷≩$2211$)⨻⩈⩔($3462$⇴∐$2656$))⋓(($1685$∕⩚$3070$)⫑)↞⋁(⊖∈($1056$⫔⩽⩺$2442$))","expression":"(≴∭⊉6214⪪≴∭⊉40201⨐⩸⫘(≴∭⊉5615⇼⇔∾≴∭⊉6602))⪢((⩏⊷≩≴∭⊉6306)⨻⩈⩔(≴∭⊉13044⇴∐≴∭⊉10513))⋓((≴∭⊉4625∕⩚≴∭⊉11644)⫑)↞⋁(⊖∈(≴∭⊉3036⫔⩽⩺≴∭⊉10056))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":146318,"operation_count":13,"complexity_ratio":11255.23076923077,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":2167,"base":7},"right_expr":{"type":"numeric_atoms","value":9703,"base":7}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2021,"base":7},"right_expr":{"type":"numeric_atoms","value":2354,"base":7}}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"numeric_atoms","value":2211,"base":7}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":3462,"base":7},"right_expr":{"type":"numeric_atoms","value":2656,"base":7}}}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"unary","operator":"⫑","unary_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":1685,"base":7},"right_expr":{"type":"numeric_atoms","value":3070,"base":7}}},"right_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":1056,"base":7},"right_expr":{"type":"numeric_atoms","value":2442,"base":7}}}}},"used_operators":["T2fj7uvVaJ","dWAJyo7jo9","fu6greOZ01","xD69zh8xqp","tifHPKVTfV","nEsXyWgiOK","uOZ1tnYMDE","HnzytWxmAO","RqrPlJkxDo","CgIo77xlM2","z9ffQ9n5Zr","YFxL8Sc2Zy","i9eR4S00cU"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","k8jYdgA6NY","3ViojmjbAp","FU0Cs4j7VP","JclMnS0uGI","rysDP5nf3Z","t8gj7n24qd","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","23Mk6UjR3U","12rbrZMWeM","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","cWQsF5MvuD","zR4jO40bMj","SUmda5xLS4","DZ8iAZOCBD","PxpmPgHHJV","ocnLzx9CaJ","Z5m6OM72h2","mqXw5SEYmG","8cLx32lpNA","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","Tw270M8GLb","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2167","layer":4},{"info":"number node, value=9703","layer":4},{"info":"compute binary expreesion, left_input=2167, right_input=9703, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-323306","layer":3},{"info":"number node, value=2021","layer":4},{"info":"number node, value=2354","layer":4},{"info":"compute binary expreesion, left_input=2021, right_input=2354, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=333","layer":3},{"info":"compute binary expreesion, left_input=-323306, right_input=333, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=-336","layer":2},{"info":"number node, value=2211","layer":4},{"info":"compute unary expreesion, input=2211, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=4121","layer":3},{"info":"number node, value=3462","layer":4},{"info":"number node, value=2656","layer":4},{"info":"compute binary expreesion, left_input=3462, right_input=2656, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=4121, right_input=nan, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=24567","layer":2},{"info":"compute binary expreesion, left_input=-336, right_input=24567, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":1},{"info":"number node, value=1685","layer":4},{"info":"number node, value=3070","layer":4},{"info":"compute binary expreesion, left_input=1685, right_input=3070, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-1688","layer":3},{"info":"compute unary expreesion, input=-1688, op_id = CgIo77xlM2, unary_op_definition = 'a⫑ = { (((a⊉≛↸377)⩼⇪↪(a∘a))⪄(841⪶≀⋏a)) , if (a⫸⊐7)<631 ; ((↓⇌(a∌a))⨌↪) , else }', output=-480","layer":2},{"info":"number node, value=1056","layer":4},{"info":"number node, value=2442","layer":4},{"info":"compute binary expreesion, left_input=1056, right_input=2442, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-480, right_input=nan, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉6214⪪≴∭⊉40201⨐⩸⫘(≴∭⊉5615⇼⇔∾≴∭⊉6602))⪢((⩏⊷≩≴∭⊉6306)⨻⩈⩔(≴∭⊉13044⇴∐≴∭⊉10513))⋓((≴∭⊉4625∕⩚≴∭⊉11644)⫑)↞⋁(⊖∈(≴∭⊉3036⫔⩽⩺≴∭⊉10056))=NaN","reverse_text":"NaN=(≴∭⊉6214⪪≴∭⊉40201⨐⩸⫘(≴∭⊉5615⇼⇔∾≴∭⊉6602))⪢((⩏⊷≩≴∭⊉6306)⨻⩈⩔(≴∭⊉13044⇴∐≴∭⊉10513))⋓((≴∭⊉4625∕⩚≴∭⊉11644)⫑)↞⋁(⊖∈(≴∭⊉3036⫔⩽⩺≴∭⊉10056))","cot":[{"info":"≴∭⊉6214⪪≴∭⊉40201=≴∭⊉-2514404","layer":3},{"info":"≴∭⊉5615⇼⇔∾≴∭⊉6602=≴∭⊉654","layer":3},{"info":"≴∭⊉-2514404⨐⩸⫘≴∭⊉654=≴∭⊉-660","layer":2},{"info":"⩏⊷≩≴∭⊉6306=≴∭⊉15005","layer":3},{"info":"≴∭⊉13044⇴∐≴∭⊉10513=NaN","layer":3},{"info":"≴∭⊉15005⨻⩈⩔NaN=≴∭⊉131424","layer":2},{"info":"≴∭⊉-660⪢≴∭⊉131424=NaN","layer":1},{"info":"≴∭⊉4625∕⩚≴∭⊉11644=≴∭⊉-4631","layer":3},{"info":"≴∭⊉-4631⫑=≴∭⊉-1254","layer":2},{"info":"≴∭⊉3036⫔⩽⩺≴∭⊉10056=NaN","layer":3},{"info":"⊖∈NaN=NaN","layer":2},{"info":"≴∭⊉-1254↞⋁NaN=NaN","layer":1},{"info":"NaN⋓NaN=NaN","layer":0}]}
+{"id":500,"expression_no_base_symbol":"($3442$⪭≯$3607$⫚↹⊑$4316$∌$6392$)∣($4914$⨐$5041$⪒(≑⋹$6848$))⫒⫫((→⩰$2769$)⨸⪁($1912$⇆⨓≜))⇂≾⫗(⩒∊($7895$∼$3027$))","expression":"(≴∭⊉13015⪭≯≴∭⊉13342⫚↹⊑≴∭⊉15404∌≴∭⊉24431)∣(≴∭⊉20220⨐≴∭⊉20461⪒(≑⋹≴∭⊉25652))⫒⫫((→⩰≴∭⊉11034)⨸⪁(≴∭⊉5401⇆⨓≜))⇂≾⫗(⩒∊(≴∭⊉32006∼≴∭⊉11553))","highest_n_order":5,"priority_hierarchical_complexity":14,"normalized_expansion_degree":3883,"operation_count":14,"complexity_ratio":277.35714285714283,"tree":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":3442,"base":7},"right_expr":{"type":"numeric_atoms","value":3607,"base":7}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":4316,"base":7},"right_expr":{"type":"numeric_atoms","value":6392,"base":7}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":4914,"base":7},"right_expr":{"type":"numeric_atoms","value":5041,"base":7}},"right_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"numeric_atoms","value":6848,"base":7}}}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"numeric_atoms","value":2769,"base":7}},"right_expr":{"type":"unary","operator":"⇆⨓≜","unary_expr":{"type":"numeric_atoms","value":1912,"base":7}}},"right_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":7895,"base":7},"right_expr":{"type":"numeric_atoms","value":3027,"base":7}}}}},"used_operators":["6Ko8hGgeMq","PPChnnnBFF","dfKe02y8D2","XAx5wpdLa6","8cLx32lpNA","f6k1SAg4EE","Noe24qw2ks","6B9nyZLogK","aBQ6xLxuTc","g55IO6H4Gj","o8Pngz0Tml","KvvgdUaMHJ","qazvmhNBbN","DyGG3AbaNP"],"dependent_operators":["jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","W4YGzv6Whe","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","Uaa54Peajs","KYD54nUTWz","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3442","layer":4},{"info":"number node, value=3607","layer":4},{"info":"compute binary expreesion, left_input=3442, right_input=3607, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"number node, value=4316","layer":4},{"info":"number node, value=6392","layer":4},{"info":"compute binary expreesion, left_input=4316, right_input=6392, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-6392","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-6392, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"number node, value=4914","layer":4},{"info":"number node, value=5041","layer":4},{"info":"compute binary expreesion, left_input=4914, right_input=5041, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-9828","layer":3},{"info":"number node, value=6848","layer":4},{"info":"compute unary expreesion, input=6848, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=1650","layer":3},{"info":"compute binary expreesion, left_input=-9828, right_input=1650, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=8178","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=8178, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=-447","layer":1},{"info":"number node, value=2769","layer":4},{"info":"compute unary expreesion, input=2769, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":3},{"info":"number node, value=1912","layer":4},{"info":"compute unary expreesion, input=1912, op_id = KvvgdUaMHJ, unary_op_definition = 'a⇆⨓≜ = { (∂(a⫥∨⫟a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":2},{"info":"number node, value=7895","layer":4},{"info":"number node, value=3027","layer":4},{"info":"compute binary expreesion, left_input=7895, right_input=3027, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-447, right_input=nan, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉13015⪭≯≴∭⊉13342⫚↹⊑≴∭⊉15404∌≴∭⊉24431)∣(≴∭⊉20220⨐≴∭⊉20461⪒(≑⋹≴∭⊉25652))⫒⫫((→⩰≴∭⊉11034)⨸⪁(≴∭⊉5401⇆⨓≜))⇂≾⫗(⩒∊(≴∭⊉32006∼≴∭⊉11553))=NaN","reverse_text":"NaN=(≴∭⊉13015⪭≯≴∭⊉13342⫚↹⊑≴∭⊉15404∌≴∭⊉24431)∣(≴∭⊉20220⨐≴∭⊉20461⪒(≑⋹≴∭⊉25652))⫒⫫((→⩰≴∭⊉11034)⨸⪁(≴∭⊉5401⇆⨓≜))⇂≾⫗(⩒∊(≴∭⊉32006∼≴∭⊉11553))","cot":[{"info":"≴∭⊉13015⪭≯≴∭⊉13342=NaN","layer":3},{"info":"≴∭⊉15404∌≴∭⊉24431=≴∭⊉-24431","layer":3},{"info":"NaN⫚↹⊑≴∭⊉-24431=≴∭⊉-1206","layer":2},{"info":"≴∭⊉20220⨐≴∭⊉20461=≴∭⊉-40440","layer":3},{"info":"≑⋹≴∭⊉25652=≴∭⊉4545","layer":3},{"info":"≴∭⊉-40440⪒≴∭⊉4545=≴∭⊉32562","layer":2},{"info":"≴∭⊉-1206∣≴∭⊉32562=≴∭⊉-1206","layer":1},{"info":"→⩰≴∭⊉11034=NaN","layer":3},{"info":"≴∭⊉5401⇆⨓≜=NaN","layer":3},{"info":"NaN⨸⪁NaN=NaN","layer":2},{"info":"≴∭⊉32006∼≴∭⊉11553=NaN","layer":3},{"info":"⩒∊NaN=NaN","layer":2},{"info":"NaN⇂≾⫗NaN=NaN","layer":1},{"info":"≴∭⊉-1206⫒⫫NaN=NaN","layer":0}]}
+{"id":501,"expression_no_base_symbol":"→⩰($1792$⪨⊡$1156$)⋹⋡⊁($4509$⪒$1596$)⇄(⊥($1773$≝⊰⇂))","expression":"→⩰(≴∭⊉5140⪨⊡≴∭⊉3241)⋹⋡⊁(≴∭⊉16101⪒≴∭⊉4440)⇄(⊥(≴∭⊉5112≝⊰⇂))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2331,"operation_count":7,"complexity_ratio":333.0,"tree":{"type":"unary","operator":"→⩰","unary_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":1792,"base":7},"right_expr":{"type":"numeric_atoms","value":1156,"base":7}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":4509,"base":7},"right_expr":{"type":"numeric_atoms","value":1596,"base":7}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"unary","operator":"≝⊰⇂","unary_expr":{"type":"numeric_atoms","value":1773,"base":7}}}}},"used_operators":["o8Pngz0Tml","3EYGwJThht","As8RqfVLgs","kuIXHzHcAH","f6k1SAg4EE","Q3PJZHRvZv","htSmYCowi5"],"dependent_operators":["9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","9FxExcQeMw","DlLNRPXxWL"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1792","layer":4},{"info":"number node, value=1156","layer":4},{"info":"compute binary expreesion, left_input=1792, right_input=1156, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=4509","layer":4},{"info":"number node, value=1596","layer":4},{"info":"compute binary expreesion, left_input=4509, right_input=1596, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6105","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-6105, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=-262","layer":2},{"info":"number node, value=1773","layer":4},{"info":"compute unary expreesion, input=1773, op_id = htSmYCowi5, unary_op_definition = 'a≝⊰⇂ = { (a⩷∴51) , if a<491 ; (⫛⫱⨽a) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-262, right_input=0, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=484","layer":1},{"info":"compute unary expreesion, input=484, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"→⩰(≴∭⊉5140⪨⊡≴∭⊉3241)⋹⋡⊁(≴∭⊉16101⪒≴∭⊉4440)⇄(⊥(≴∭⊉5112≝⊰⇂))=NaN","reverse_text":"NaN=→⩰(≴∭⊉5140⪨⊡≴∭⊉3241)⋹⋡⊁(≴∭⊉16101⪒≴∭⊉4440)⇄(⊥(≴∭⊉5112≝⊰⇂))","cot":[{"info":"≴∭⊉5140⪨⊡≴∭⊉3241=≴∭⊉0","layer":3},{"info":"≴∭⊉16101⪒≴∭⊉4440=≴∭⊉-23541","layer":3},{"info":"≴∭⊉0⋹⋡⊁≴∭⊉-23541=≴∭⊉-523","layer":2},{"info":"≴∭⊉5112≝⊰⇂=≴∭⊉0","layer":3},{"info":"⊥≴∭⊉0=≴∭⊉0","layer":2},{"info":"≴∭⊉-523⇄≴∭⊉0=≴∭⊉1261","layer":1},{"info":"→⩰≴∭⊉1261=NaN","layer":0}]}
+{"id":502,"expression_no_base_symbol":"((∷≠$6293$⨂≜$1773$)∌↝((⩰$2357$)⪠⩆⊳))↢($2078$⫞⩸⩒$2044$⊭↱$4330$⊴$5367$)⨿((⨵$2066$)⪑⩈)","expression":"((∷≠≴∭⊉24230⨂≜≴∭⊉5112)∌↝((⩰≴∭⊉6605)⪠⩆⊳))↢(≴∭⊉6026⫞⩸⩒≴∭⊉5650⊭↱≴∭⊉15424⊴≴∭⊉21435)⨿((⨵≴∭⊉6011)⪑⩈)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":12055,"operation_count":12,"complexity_ratio":1004.5833333333334,"tree":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":6293,"base":7},"right_expr":{"type":"numeric_atoms","value":1773,"base":7}}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"numeric_atoms","value":2357,"base":7}}}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":2078,"base":7},"right_expr":{"type":"numeric_atoms","value":2044,"base":7}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":4330,"base":7},"right_expr":{"type":"numeric_atoms","value":5367,"base":7}}},"right_expr":{"type":"unary","operator":"⪑⩈","unary_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"numeric_atoms","value":2066,"base":7}}}}},"used_operators":["WR6HLWljOP","9Isq31Ruls","QiR2Oyf5Xj","k1SHOSEABc","JLbD19bQDL","WkeUrDK8WX","abYXlopdE0","COABgblf1C","XGcMNugi78","Nsiff2A1zJ","C6VvDP6HwP","Tl3Y52tvF8"],"dependent_operators":["eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","7j4O788W3g","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","W4YGzv6Whe","t8gj7n24qd","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","dWAJyo7jo9","14qkJME0vr","9FxExcQeMw","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","Z2TMIBDE3Q","i8ToyICDmI","eewbuw0ToL","2td37pGCOC","QMFrweE19q","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6293","layer":4},{"info":"number node, value=1773","layer":4},{"info":"compute binary expreesion, left_input=6293, right_input=1773, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=nan","layer":2},{"info":"number node, value=2357","layer":4},{"info":"compute unary expreesion, input=2357, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-3357","layer":3},{"info":"compute unary expreesion, input=-3357, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=nan","layer":1},{"info":"number node, value=2078","layer":4},{"info":"number node, value=2044","layer":4},{"info":"compute binary expreesion, left_input=2078, right_input=2044, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=2044","layer":3},{"info":"number node, value=4330","layer":4},{"info":"number node, value=5367","layer":4},{"info":"compute binary expreesion, left_input=4330, right_input=5367, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2044, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"number node, value=2066","layer":4},{"info":"compute unary expreesion, input=2066, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=-17737","layer":3},{"info":"compute unary expreesion, input=-17737, op_id = C6VvDP6HwP, unary_op_definition = 'a⪑⩈ = { (((a⫡⨏a)⩚⊴⇥(477⪨≂185))⇼⇔∾(⩦⩻⨪(a∲⫓a))) , if (a⨰851)>=379 ; (((a⩷∴a)⩤)⨰a) , else }', output=17779","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=17779, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=67","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((∷≠≴∭⊉24230⨂≜≴∭⊉5112)∌↝((⩰≴∭⊉6605)⪠⩆⊳))↢(≴∭⊉6026⫞⩸⩒≴∭⊉5650⊭↱≴∭⊉15424⊴≴∭⊉21435)⨿((⨵≴∭⊉6011)⪑⩈)=NaN","reverse_text":"NaN=((∷≠≴∭⊉24230⨂≜≴∭⊉5112)∌↝((⩰≴∭⊉6605)⪠⩆⊳))↢(≴∭⊉6026⫞⩸⩒≴∭⊉5650⊭↱≴∭⊉15424⊴≴∭⊉21435)⨿((⨵≴∭⊉6011)⪑⩈)","cot":[{"info":"≴∭⊉24230⨂≜≴∭⊉5112=NaN","layer":3},{"info":"∷≠NaN=NaN","layer":2},{"info":"⩰≴∭⊉6605=≴∭⊉-12534","layer":3},{"info":"≴∭⊉-12534⪠⩆⊳=≴∭⊉0","layer":2},{"info":"NaN∌↝≴∭⊉0=NaN","layer":1},{"info":"≴∭⊉6026⫞⩸⩒≴∭⊉5650=≴∭⊉5650","layer":3},{"info":"≴∭⊉15424⊴≴∭⊉21435=NaN","layer":3},{"info":"≴∭⊉5650⊭↱NaN=NaN","layer":2},{"info":"⨵≴∭⊉6011=≴∭⊉-102466","layer":3},{"info":"≴∭⊉-102466⪑⩈=≴∭⊉102556","layer":2},{"info":"NaN⨿≴∭⊉102556=≴∭⊉124","layer":1},{"info":"NaN↢≴∭⊉124=NaN","layer":0}]}
+{"id":503,"expression_no_base_symbol":"((($1429$↓⨍⋜)⪭$2511$⫉⨲⊜$7000$)⊋(⊿$2843$⪚$1197$))⨥⫆(↥≼⋛(≀↧⇸$2578$))⨸(($1569$⨔≚≋$2720$)⩉⊫⨁)","expression":"(((≴∭⊉4111↓⨍⋜)⪭≴∭⊉10215⫉⨲⊜≴∭⊉26260)⊋(⊿≴∭⊉11201⪚≴∭⊉3330))⨥⫆(↥≼⋛(≀↧⇸≴∭⊉10342))⨸((≴∭⊉4401⨔≚≋≴∭⊉10634)⩉⊫⨁)","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":719,"operation_count":12,"complexity_ratio":59.916666666666664,"tree":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"unary","operator":"↓⨍⋜","unary_expr":{"type":"numeric_atoms","value":1429,"base":7}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":2511,"base":7},"right_expr":{"type":"numeric_atoms","value":7000,"base":7}}},"right_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":2843,"base":7},"right_expr":{"type":"numeric_atoms","value":1197,"base":7}}}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"numeric_atoms","value":2578,"base":7}}},"right_expr":{"type":"unary","operator":"⩉⊫⨁","unary_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":1569,"base":7},"right_expr":{"type":"numeric_atoms","value":2720,"base":7}}}}},"used_operators":["yXekIHxTD4","W4tP9CfskL","j9kHMeSvPp","3DVzLFNsE9","WhqkvtTD3t","DO4fhlbJSI","HrjLwUk87U","KmoU8R5UQR","x5lMkHmzsq","ljTHtUsqzn","7qqUquhhSb","Z57zeUYC9z"],"dependent_operators":["eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","COABgblf1C","xUOZtlo3hN","OKKcZfAt5B","zR4jO40bMj","XnXgA4xnOs","o20kRiQErp","7t3wd0Fuz7","Z5m6OM72h2","eewbuw0ToL","zVYPLywUTj","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI"],"result":"≴∭⊉-1","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1429","layer":4},{"info":"compute unary expreesion, input=1429, op_id = 3DVzLFNsE9, unary_op_definition = 'a↓⨍⋜ = { (((a≝⊿a)⪶≀⋏(a∸))⨑≵⋬((a⋥⋵⩄a)∘(a⪶≀⋏a))) }', output=6590","layer":3},{"info":"number node, value=2511","layer":4},{"info":"number node, value=7000","layer":4},{"info":"compute binary expreesion, left_input=2511, right_input=7000, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=6590, right_input=0, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":2},{"info":"number node, value=2843","layer":4},{"info":"number node, value=1197","layer":4},{"info":"compute binary expreesion, left_input=2843, right_input=1197, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=2936","layer":3},{"info":"compute unary expreesion, input=2936, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-12482","layer":2},{"info":"compute binary expreesion, left_input=5, right_input=-12482, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)���(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=-255094","layer":1},{"info":"number node, value=2578","layer":4},{"info":"compute unary expreesion, input=2578, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=5156","layer":3},{"info":"compute unary expreesion, input=5156, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-113","layer":2},{"info":"number node, value=1569","layer":4},{"info":"number node, value=2720","layer":4},{"info":"compute binary expreesion, left_input=1569, right_input=2720, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"compute unary expreesion, input=9872, op_id = 7qqUquhhSb, unary_op_definition = 'a⩉⊫⨁ = { (331↺a) }', output=9872","layer":2},{"info":"compute binary expreesion, left_input=-113, right_input=9872, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=226","layer":1},{"info":"compute binary expreesion, left_input=-255094, right_input=226, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=-1","layer":0}],"base":7,"result_base":7,"text":"(((≴∭⊉4111↓⨍⋜)⪭≴∭⊉10215⫉⨲⊜≴∭⊉26260)⊋(⊿≴∭⊉11201⪚≴∭⊉3330))⨥⫆(↥≼⋛(≀↧⇸≴∭⊉10342))⨸((≴∭⊉4401⨔≚≋≴∭⊉10634)⩉⊫⨁)=≴∭⊉-1","reverse_text":"≴∭⊉-1=(((≴∭⊉4111↓⨍⋜)⪭≴∭⊉10215⫉⨲⊜≴∭⊉26260)⊋(⊿≴∭⊉11201⪚≴∭⊉3330))⨥⫆(↥≼⋛(≀↧⇸≴∭⊉10342))⨸((≴∭⊉4401⨔≚≋≴∭⊉10634)⩉⊫⨁)","cot":[{"info":"≴∭⊉4111↓⨍⋜=≴∭⊉25133","layer":3},{"info":"≴∭⊉10215⫉⨲⊜≴∭⊉26260=≴∭⊉0","layer":3},{"info":"≴∭⊉25133⪭≴∭⊉0=≴∭⊉5","layer":2},{"info":"≴∭⊉11201⪚≴∭⊉3330=≴∭⊉11363","layer":3},{"info":"⊿≴∭⊉11363=≴∭⊉-51251","layer":2},{"info":"≴∭⊉5⊋≴∭⊉-51251=≴∭⊉-2111500","layer":1},{"info":"≀↧⇸≴∭⊉10342=≴∭⊉21014","layer":3},{"info":"↥≼⋛≴∭⊉21014=≴∭⊉-221","layer":2},{"info":"≴∭⊉4401⨔≚≋≴∭⊉10634=≴∭⊉40532","layer":3},{"info":"≴∭⊉40532⩉⊫⨁=≴∭⊉40532","layer":2},{"info":"≴∭⊉-221⨸≴∭⊉40532=≴∭⊉442","layer":1},{"info":"≴∭⊉-2111500⨥⫆≴∭⊉442=≴∭⊉-1","layer":0}]}
+{"id":504,"expression_no_base_symbol":"(((⊄⩳↩$1547$)⨔≚≋($1643$⪛⫼$3184$))≀⫉(($5942$⇴$3266$)⇯⋐))≎⪠(((⇖$1493$)⊘)∙∹∝($5805$↼⊘⨖$2531$)⪢($2592$↱$1231$))","expression":"(((⊄⩳↩≴∭⊉4340)⨔≚≋(≴∭⊉4535⪛⫼≴∭⊉12166))≀⫉((≴∭⊉23216⇴≴∭⊉12344)⇯⋐))≎⪠(((⇖≴∭⊉4232)⊘)∙∹∝(≴∭⊉22632↼⊘⨖≴∭⊉10244)⪢(≴∭⊉10362↱≴∭⊉3406))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":22931,"operation_count":13,"complexity_ratio":1763.923076923077,"tree":{"type":"binary","operator":"≎⪠","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1547,"base":7}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":1643,"base":7},"right_expr":{"type":"numeric_atoms","value":3184,"base":7}}},"right_expr":{"type":"unary","operator":"⇯⋐","unary_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":5942,"base":7},"right_expr":{"type":"numeric_atoms","value":3266,"base":7}}}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"numeric_atoms","value":1493,"base":7}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":5805,"base":7},"right_expr":{"type":"numeric_atoms","value":2531,"base":7}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":2592,"base":7},"right_expr":{"type":"numeric_atoms","value":1231,"base":7}}}}},"used_operators":["aNhz54LH3e","oZj3VtZNQx","Z57zeUYC9z","8w2t5hMYqp","hyuBjUqXlG","LkLIoiE525","4JB6nKBMSY","HmxsFra2vL","gu96TGCTMs","tfWHHpNKUN","dWAJyo7jo9","bPywburJMS","SR5kFfdi6N"],"dependent_operators":["bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q","sdazOOVcIp","NTOWxs364D","COABgblf1C","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","2DQ55sFlQl","k8jYdgA6NY","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe"],"result":"≴∭⊉111010","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1547","layer":4},{"info":"compute unary expreesion, input=1547, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-4641","layer":3},{"info":"number node, value=1643","layer":4},{"info":"number node, value=3184","layer":4},{"info":"compute binary expreesion, left_input=1643, right_input=3184, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":3},{"info":"compute binary expreesion, left_input=-4641, right_input=968, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=63752","layer":2},{"info":"number node, value=5942","layer":4},{"info":"number node, value=3266","layer":4},{"info":"compute binary expreesion, left_input=5942, right_input=3266, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=41798","layer":3},{"info":"compute unary expreesion, input=41798, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=126272","layer":2},{"info":"compute binary expreesion, left_input=63752, right_input=126272, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":1},{"info":"number node, value=1493","layer":4},{"info":"compute unary expreesion, input=1493, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":2},{"info":"number node, value=5805","layer":4},{"info":"number node, value=2531","layer":4},{"info":"compute binary expreesion, left_input=5805, right_input=2531, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=4840","layer":3},{"info":"number node, value=2592","layer":4},{"info":"number node, value=1231","layer":4},{"info":"compute binary expreesion, left_input=2592, right_input=1231, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-3171","layer":3},{"info":"compute binary expreesion, left_input=4840, right_input=-3171, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=2822, right_input=0, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":0}],"base":7,"result_base":7,"text":"(((⊄⩳↩≴∭⊉4340)⨔≚≋(≴∭⊉4535⪛⫼≴∭⊉12166))≀⫉((≴∭⊉23216⇴≴∭⊉12344)⇯⋐))≎⪠(((⇖≴∭⊉4232)⊘)∙∹∝(≴∭⊉22632↼⊘⨖≴∭⊉10244)⪢(≴∭⊉10362↱≴∭⊉3406))=≴∭⊉111010","reverse_text":"≴∭⊉111010=(((⊄⩳↩≴∭⊉4340)⨔≚≋(≴∭⊉4535⪛⫼≴∭⊉12166))≀⫉((≴∭⊉23216⇴≴∭⊉12344)⇯⋐))≎⪠(((⇖≴∭⊉4232)⊘)∙∹∝(≴∭⊉22632↼⊘⨖≴∭⊉10244)⪢(≴∭⊉10362↱≴∭⊉3406))","cot":[{"info":"⊄⩳↩≴∭⊉4340=≴∭⊉-16350","layer":3},{"info":"≴∭⊉4535⪛⫼≴∭⊉12166=≴∭⊉2552","layer":3},{"info":"≴∭⊉-16350⨔≚≋≴∭⊉2552=≴∭⊉353603","layer":2},{"info":"≴∭⊉23216⇴≴∭⊉12344=≴∭⊉232601","layer":3},{"info":"≴∭⊉232601⇯⋐=≴∭⊉1034066","layer":2},{"info":"≴∭⊉353603≀⫉≴∭⊉1034066=≴∭⊉11141","layer":1},{"info":"⇖≴∭⊉4232=≴∭⊉316","layer":3},{"info":"≴∭⊉316⊘=≴∭⊉0","layer":2},{"info":"≴∭⊉22632↼⊘⨖≴∭⊉10244=≴∭⊉20053","layer":3},{"info":"≴∭⊉10362↱≴∭⊉3406=≴∭⊉-12150","layer":3},{"info":"≴∭⊉20053⪢≴∭⊉-12150=NaN","layer":2},{"info":"≴∭⊉0∙∹∝NaN=≴∭⊉0","layer":1},{"info":"≴∭⊉11141≎⪠≴∭⊉0=≴∭⊉111010","layer":0}]}
+{"id":505,"expression_no_base_symbol":"(⇋⊎⋝((∤↝$2747$)∷$1107$⇮⋭$1345$))⊊","expression":"(⇋⊎⋝((∤↝≴∭⊉11003)∷≴∭⊉3141⇮⋭≴∭⊉3631))⊊","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":3841,"operation_count":5,"complexity_ratio":768.2,"tree":{"type":"unary","operator":"⊊","unary_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"binary","operator":"∷","left_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"numeric_atoms","value":2747,"base":7}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":1107,"base":7},"right_expr":{"type":"numeric_atoms","value":1345,"base":7}}}}},"used_operators":["W9R8I5fN5A","CzM2PEoXns","D3AQDKkPcf","3UMq87Qwqg","vkpjKywKVM"],"dependent_operators":["DlLNRPXxWL","aBQ6xLxuTc","8n5YIzOsVS","oZj3VtZNQx","MahUMFw56D","hyuBjUqXlG","aA7tF3KVD3","2DDjHMKMc0","QMFrweE19q","SxTAKzQCrw","8cLx32lpNA","dWAJyo7jo9","9FxExcQeMw","NTOWxs364D","7j4O788W3g","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2747","layer":4},{"info":"compute unary expreesion, input=2747, op_id = 3UMq87Qwqg, unary_op_definition = '∤↝a = { a , if ((a⊬⨰244)<=56 or (⫇a)>308 or (a⨐673)<=60) ; (((↩⪖a)⩼⇪↪(57∝206))↺(↩(⊲⪭a))) , else }', output=2747","layer":3},{"info":"number node, value=1107","layer":4},{"info":"number node, value=1345","layer":4},{"info":"compute binary expreesion, left_input=1107, right_input=1345, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute binary expreesion, left_input=2747, right_input=-473, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=-3541","layer":2},{"info":"compute unary expreesion, input=-3541, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = W9R8I5fN5A, unary_op_definition = 'a⊊ = { (((⫛⫱⨽a)∙⊟a)∌((a⇂≾⫗536)⋝⋈⪟(a⫡⨏a))) , if ((a≚⋢)==7 or (a⪘⨀)==15) ; ((a≀⫉(6⪛⫼a))⫠↝⫳) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(⇋⊎⋝((∤↝≴∭⊉11003)∷≴∭⊉3141⇮⋭≴∭⊉3631))⊊=NaN","reverse_text":"NaN=(⇋⊎⋝((∤↝≴∭⊉11003)∷≴∭⊉3141⇮⋭≴∭⊉3631))⊊","cot":[{"info":"∤↝≴∭⊉11003=≴∭⊉11003","layer":3},{"info":"≴∭⊉3141⇮⋭≴∭⊉3631=≴∭⊉-1244","layer":3},{"info":"≴∭⊉11003∷≴∭⊉-1244=≴∭⊉-13216","layer":2},{"info":"⇋⊎⋝≴∭⊉-13216=NaN","layer":1},{"info":"NaN⊊=NaN","layer":0}]}
+{"id":506,"expression_no_base_symbol":"⫟($1427$⇤$7786$⪉⨛$1060$⫸⊐$1031$)⊬⨰($1650$⫉⨲⊜$2600$+⇶⊼$4156$∣$1582$)","expression":"⫟(≴∭⊉4106⇤≴∭⊉31462⪉⨛≴∭⊉3043⫸⊐≴∭⊉3002)⊬⨰(≴∭⊉4545⫉⨲⊜≴∭⊉10403+⇶⊼≴∭⊉15055∣≴∭⊉4420)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":121,"operation_count":8,"complexity_ratio":15.125,"tree":{"type":"unary","operator":"⫟","unary_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":1427,"base":7},"right_expr":{"type":"numeric_atoms","value":7786,"base":7}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1060,"base":7},"right_expr":{"type":"numeric_atoms","value":1031,"base":7}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":1650,"base":7},"right_expr":{"type":"numeric_atoms","value":2600,"base":7}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":4156,"base":7},"right_expr":{"type":"numeric_atoms","value":1582,"base":7}}}}},"used_operators":["z4E1FaHLuy","s3Fd5m9Dh2","EWw2JM7wp4","YSKBFp38Pu","mqXw5SEYmG","TpPTUOHfaN","WhqkvtTD3t","PPChnnnBFF"],"dependent_operators":["9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","AHs5Up7iyr","eewbuw0ToL","zVYPLywUTj","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1427","layer":4},{"info":"number node, value=7786","layer":4},{"info":"compute binary expreesion, left_input=1427, right_input=7786, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-43217","layer":3},{"info":"number node, value=1060","layer":4},{"info":"number node, value=1031","layer":4},{"info":"compute binary expreesion, left_input=1060, right_input=1031, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=3999","layer":3},{"info":"compute binary expreesion, left_input=-43217, right_input=3999, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=-141433","layer":2},{"info":"number node, value=1650","layer":4},{"info":"number node, value=2600","layer":4},{"info":"compute binary expreesion, left_input=1650, right_input=2600, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"number node, value=4156","layer":4},{"info":"number node, value=1582","layer":4},{"info":"compute binary expreesion, left_input=4156, right_input=1582, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=4156","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=4156, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-141433, right_input=nan, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = z4E1FaHLuy, unary_op_definition = '⫟a = { (((-a)⪨≂(a⨸⪁a))≧⫂∧((a⩷∴a)⨰(a⫡⨏a))) , if (a⫌⩹⨱)>=11 ; (((a+263)⋝⋈⪟(a⨳⩥⨓a))⪒((a⋥≓≎a)⫩⊇)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"⫟(≴∭⊉4106⇤≴∭⊉31462⪉⨛≴∭⊉3043⫸⊐≴∭⊉3002)⊬⨰(≴∭⊉4545⫉⨲⊜≴∭⊉10403+⇶⊼≴∭⊉15055∣≴∭⊉4420)=NaN","reverse_text":"NaN=⫟(≴∭⊉4106⇤≴∭⊉31462⪉⨛≴∭⊉3043⫸⊐≴∭⊉3002)⊬⨰(≴∭⊉4545⫉⨲⊜≴∭⊉10403+⇶⊼≴∭⊉15055∣≴∭⊉4420)","cot":[{"info":"≴∭⊉4106⇤≴∭⊉31462=≴∭⊉-236666","layer":3},{"info":"≴∭⊉3043⫸⊐≴∭⊉3002=≴∭⊉14442","layer":3},{"info":"≴∭⊉-236666⪉⨛≴∭⊉14442=≴∭⊉-1126225","layer":2},{"info":"≴∭⊉4545⫉⨲⊜≴∭⊉10403=≴∭⊉0","layer":3},{"info":"≴∭⊉15055∣≴∭⊉4420=≴∭⊉15055","layer":3},{"info":"≴∭⊉0+⇶⊼≴∭⊉15055=NaN","layer":2},{"info":"≴∭⊉-1126225⊬⨰NaN=NaN","layer":1},{"info":"⫟NaN=NaN","layer":0}]}
+{"id":507,"expression_no_base_symbol":"⩷(⋗⩴⪓(($7701$⊾⪯⋞$1999$)⊨(⩎⋉$3749$)))","expression":"⩷(⋗⩴⪓((≴∭⊉31311⊾⪯⋞≴∭⊉5554)⊨(⩎⋉≴∭⊉13634)))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":15522,"operation_count":5,"complexity_ratio":3104.4,"tree":{"type":"unary","operator":"⩷","unary_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":7701,"base":7},"right_expr":{"type":"numeric_atoms","value":1999,"base":7}},"right_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"numeric_atoms","value":3749,"base":7}}}}},"used_operators":["1h0rLqGiFr","nOKPl9n5zu","vg4gO5BX6G","HK0tfVPux8","FlXk3pOYe8"],"dependent_operators":["14qkJME0vr","g55IO6H4Gj","7j4O788W3g","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ"],"result":"≴∭⊉1316525","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=7701","layer":4},{"info":"number node, value=1999","layer":4},{"info":"compute binary expreesion, left_input=7701, right_input=1999, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=3572","layer":3},{"info":"number node, value=3749","layer":4},{"info":"compute unary expreesion, input=3749, op_id = FlXk3pOYe8, unary_op_definition = '⩎⋉a = { (((a/a)∲⫓(≛a))∴((a⩨a)⨳⩥⨓(⊄⩳↩a))) , if (a⩇∃⫛268)<=24 or a==244 or (↩⪖a)>=4 ; (((a⨔⇊a)∠↢(↸⊣a))≚⊃≕((≦∁a)⨐461)) , else }', output=1650","layer":3},{"info":"compute binary expreesion, left_input=3572, right_input=1650, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=15319","layer":2},{"info":"compute unary expreesion, input=15319, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=-14406","layer":1},{"info":"compute unary expreesion, input=-14406, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=172793","layer":0}],"base":7,"result_base":7,"text":"⩷(⋗⩴⪓((≴∭⊉31311⊾⪯⋞≴∭⊉5554)⊨(⩎⋉≴∭⊉13634)))=≴∭⊉1316525","reverse_text":"≴∭⊉1316525=⩷(⋗⩴⪓((≴∭⊉31311⊾⪯⋞≴∭⊉5554)⊨(⩎⋉≴∭⊉13634)))","cot":[{"info":"≴∭⊉31311⊾⪯⋞≴∭⊉5554=≴∭⊉13262","layer":3},{"info":"⩎⋉≴∭⊉13634=≴∭⊉4545","layer":3},{"info":"≴∭⊉13262⊨≴∭⊉4545=≴∭⊉62443","layer":2},{"info":"⋗⩴⪓≴∭⊉62443=≴∭⊉-60000","layer":1},{"info":"⩷≴∭⊉-60000=≴∭⊉1316525","layer":0}]}
+{"id":508,"expression_no_base_symbol":"⊬↢((⩷⨜⫀($8936$∌$1616$))⫸⊐(($6146$⫍⨯↯)⩺⋐⫨))","expression":"⊬↢((⩷⨜⫀(≴∭⊉35024∌≴∭⊉4466))⫸⊐((≴∭⊉23630⫍⨯↯)⩺⋐⫨))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1603,"operation_count":6,"complexity_ratio":267.1666666666667,"tree":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":8936,"base":7},"right_expr":{"type":"numeric_atoms","value":1616,"base":7}}},"right_expr":{"type":"unary","operator":"⩺⋐⫨","unary_expr":{"type":"unary","operator":"⫍⨯↯","unary_expr":{"type":"numeric_atoms","value":6146,"base":7}}}}},"used_operators":["WPoGxAaPR1","mqXw5SEYmG","CDi0ktkjQ4","8cLx32lpNA","yS9ePUuUdn","ZcwmYACASQ"],"dependent_operators":["XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","ruOEQAzv1W","nhYeJWJD5X","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","9samAPKr6k","j9kHMeSvPp","Tcnh7f0tEr","23Mk6UjR3U","2DDjHMKMc0","Qy55tPpLXF"],"result":"≴∭⊉431","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=8936","layer":4},{"info":"number node, value=1616","layer":4},{"info":"compute binary expreesion, left_input=8936, right_input=1616, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-1616","layer":3},{"info":"compute unary expreesion, input=-1616, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-766","layer":2},{"info":"number node, value=6146","layer":4},{"info":"compute unary expreesion, input=6146, op_id = ZcwmYACASQ, unary_op_definition = 'a⫍⨯↯ = { ((a⋥≓≎a)⋷(a⋝⋈⪟337)) }', output=6113","layer":3},{"info":"compute unary expreesion, input=6113, op_id = yS9ePUuUdn, unary_op_definition = 'a⩺⋐⫨ = { ((a≣⋋)⨽∌(a⪭a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-766, right_input=0, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=968","layer":1},{"info":"compute unary expreesion, input=968, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=218","layer":0}],"base":7,"result_base":7,"text":"⊬↢((⩷⨜⫀(≴∭⊉35024∌≴∭⊉4466))⫸⊐((≴∭⊉23630⫍⨯↯)⩺⋐⫨))=≴∭⊉431","reverse_text":"≴∭⊉431=⊬↢((⩷⨜⫀(≴∭⊉35024∌≴∭⊉4466))⫸⊐((≴∭⊉23630⫍⨯↯)⩺⋐⫨))","cot":[{"info":"≴∭⊉35024∌≴∭⊉4466=≴∭⊉-4466","layer":3},{"info":"⩷⨜⫀≴∭⊉-4466=≴∭⊉-2143","layer":2},{"info":"≴∭⊉23630⫍⨯↯=≴∭⊉23552","layer":3},{"info":"≴∭⊉23552⩺⋐⫨=≴∭⊉0","layer":2},{"info":"≴∭⊉-2143⫸⊐≴∭⊉0=≴∭⊉2552","layer":1},{"info":"⊬↢≴∭⊉2552=≴∭⊉431","layer":0}]}
+{"id":509,"expression_no_base_symbol":"($2829$⪇≇⋚$6711$⊍⩺⋍$3367$⊮⊟↴$2830$)∴($2582$≝⊿$1417$⋥⋵⩄($1048$⫘$1198$))∋((($3717$⋘⨑⨽)/($1855$⩘))⩁⩘(($1524$∌$1408$)⊧↖))","expression":"(≴∭⊉11151⪇≇⋚≴∭⊉25365⊍⩺⋍≴∭⊉12550⊮⊟↴≴∭⊉11152)∴(≴∭⊉10346≝⊿≴∭⊉4063⋥⋵⩄(≴∭⊉3025⫘≴∭⊉3331))∋(((≴∭⊉13560⋘⨑⨽)/(≴∭⊉5260⩘))⩁⩘((≴∭⊉4305∌≴∭⊉4051)⊧↖))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":3510,"operation_count":14,"complexity_ratio":250.71428571428572,"tree":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":2829,"base":7},"right_expr":{"type":"numeric_atoms","value":6711,"base":7}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":3367,"base":7},"right_expr":{"type":"numeric_atoms","value":2830,"base":7}}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":2582,"base":7},"right_expr":{"type":"numeric_atoms","value":1417,"base":7}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":1048,"base":7},"right_expr":{"type":"numeric_atoms","value":1198,"base":7}}}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⋘⨑⨽","unary_expr":{"type":"numeric_atoms","value":3717,"base":7}},"right_expr":{"type":"unary","operator":"⩘","unary_expr":{"type":"numeric_atoms","value":1855,"base":7}}},"right_expr":{"type":"unary","operator":"⊧↖","unary_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":1524,"base":7},"right_expr":{"type":"numeric_atoms","value":1408,"base":7}}}}},"used_operators":["ukq6epAj5P","hrf7POJlIJ","OXDGMFPWZM","3sJ7IOPOlU","QDVgd2eftb","7t3wd0Fuz7","OKKcZfAt5B","48vC8HMD2b","gub5Cegaqo","XhwjNDsVaA","WmT3o8z6ya","wvHyciQT5X","EKiFHuOFxO","8cLx32lpNA"],"dependent_operators":["SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","12rbrZMWeM","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","DpFCA1CohY","IWmyXbctLI","rysDP5nf3Z","W4YGzv6Whe","DpFCA1CohY","N41Kp7NANJ","8w2t5hMYqp","QMFrweE19q","9ICcGScMcE","dfKe02y8D2","5twsqlHp2o","dfKe02y8D2","8HhzD0ZcuI","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2829","layer":4},{"info":"number node, value=6711","layer":4},{"info":"compute binary expreesion, left_input=2829, right_input=6711, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"number node, value=3367","layer":4},{"info":"number node, value=2830","layer":4},{"info":"compute binary expreesion, left_input=3367, right_input=2830, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":2},{"info":"number node, value=2582","layer":4},{"info":"number node, value=1417","layer":4},{"info":"compute binary expreesion, left_input=2582, right_input=1417, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-5949","layer":3},{"info":"number node, value=1048","layer":4},{"info":"number node, value=1198","layer":4},{"info":"compute binary expreesion, left_input=1048, right_input=1198, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=1236853","layer":3},{"info":"compute binary expreesion, left_input=-5949, right_input=1236853, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=113, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=nan","layer":1},{"info":"number node, value=3717","layer":4},{"info":"compute unary expreesion, input=3717, op_id = WmT3o8z6ya, unary_op_definition = 'a⋘⨑⨽ = { ((a⫡⨏a)+(a≋⫹)) , if (⊄⩳↩a)!=44 ; (⋗⩬⋾(394+a)) , else }', output=19368","layer":3},{"info":"number node, value=1855","layer":4},{"info":"compute unary expreesion, input=1855, op_id = wvHyciQT5X, unary_op_definition = 'a⩘ = { (≦∁(a⫚↹⊑129)) }', output=67","layer":3},{"info":"compute binary expreesion, left_input=19368, right_input=67, op_id = XhwjNDsVaA binary_op_definition= 'None', output=289","layer":2},{"info":"number node, value=1524","layer":4},{"info":"number node, value=1408","layer":4},{"info":"compute binary expreesion, left_input=1524, right_input=1408, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-1408","layer":3},{"info":"compute unary expreesion, input=-1408, op_id = EKiFHuOFxO, unary_op_definition = 'a⊧↖ = { ((a⨽a)⊢(a⫚↹⊑79)) }', output=11883464","layer":2},{"info":"compute binary expreesion, left_input=289, right_input=11883464, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=47534804","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=47534804, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉11151⪇≇⋚≴∭⊉25365⊍⩺⋍≴∭⊉12550⊮⊟↴≴∭⊉11152)∴(≴∭⊉10346≝⊿≴∭⊉4063⋥⋵⩄(≴∭⊉3025⫘≴∭⊉3331))∋(((≴∭⊉13560⋘⨑⨽)/(≴∭⊉5260⩘))⩁⩘((≴∭⊉4305∌≴∭⊉4051)⊧↖))=NaN","reverse_text":"NaN=(≴∭⊉11151⪇≇⋚≴∭⊉25365⊍⩺⋍≴∭⊉12550⊮⊟↴≴∭⊉11152)∴(≴∭⊉10346≝⊿≴∭⊉4063⋥⋵⩄(≴∭⊉3025⫘≴∭⊉3331))∋(((≴∭⊉13560⋘⨑⨽)/(≴∭⊉5260⩘))⩁⩘((≴∭⊉4305∌≴∭⊉4051)⊧↖))","cot":[{"info":"≴∭⊉11151⪇≇⋚≴∭⊉25365=≴∭⊉0","layer":3},{"info":"≴∭⊉12550⊮⊟↴≴∭⊉11152=≴∭⊉0","layer":3},{"info":"≴∭⊉0⊍⩺⋍≴∭⊉0=NaN","layer":2},{"info":"≴∭⊉10346≝⊿≴∭⊉4063=≴∭⊉-23226","layer":3},{"info":"≴∭⊉3025⫘≴∭⊉3331=≴∭⊉13340662","layer":3},{"info":"≴∭⊉-23226⋥⋵⩄≴∭⊉13340662=≴∭⊉221","layer":2},{"info":"NaN∴≴∭⊉221=NaN","layer":1},{"info":"≴∭⊉13560⋘⨑⨽=≴∭⊉110316","layer":3},{"info":"≴∭⊉5260⩘=≴∭⊉124","layer":3},{"info":"≴∭⊉110316/≴∭⊉124=≴∭⊉562","layer":2},{"info":"≴∭⊉4305∌≴∭⊉4051=≴∭⊉-4051","layer":3},{"info":"≴∭⊉-4051⊧↖=≴∭⊉203002445","layer":2},{"info":"≴∭⊉562⩁⩘≴∭⊉203002445=≴∭⊉1115016302","layer":1},{"info":"NaN∋≴∭⊉1115016302=NaN","layer":0}]}
+{"id":510,"expression_no_base_symbol":"≤/((↑$1236$)↺$4835$↬$1823$)↼⊘⨖($6144$⫣⪄⊒$1882$⋷$1069$⫣⪄⊒$3615$)","expression":"≤/((↑≴∭⊉3414)↺≴∭⊉20045↬≴∭⊉5213)↼⊘⨖(≴∭⊉23625⫣⪄⊒≴∭⊉5326⋷≴∭⊉3055⫣⪄⊒≴∭⊉13353)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":112,"operation_count":8,"complexity_ratio":14.0,"tree":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"numeric_atoms","value":1236,"base":7}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":4835,"base":7},"right_expr":{"type":"numeric_atoms","value":1823,"base":7}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":6144,"base":7},"right_expr":{"type":"numeric_atoms","value":1882,"base":7}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":1069,"base":7},"right_expr":{"type":"numeric_atoms","value":3615,"base":7}}}}},"used_operators":["eLAdDNolq6","bPywburJMS","7j4O788W3g","tR7O2zTn5j","B5M0gjZbta","23Mk6UjR3U","RabNbG55vr"],"dependent_operators":["rysDP5nf3Z","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI"],"result":"≴∭⊉-250432","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1236","layer":4},{"info":"compute unary expreesion, input=1236, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":3},{"info":"number node, value=4835","layer":4},{"info":"number node, value=1823","layer":4},{"info":"compute binary expreesion, left_input=4835, right_input=1823, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=192, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":2},{"info":"number node, value=6144","layer":4},{"info":"number node, value=1882","layer":4},{"info":"compute binary expreesion, left_input=6144, right_input=1882, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-11636","layer":3},{"info":"number node, value=1069","layer":4},{"info":"number node, value=3615","layer":4},{"info":"compute binary expreesion, left_input=1069, right_input=3615, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-20064","layer":3},{"info":"compute binary expreesion, left_input=-11636, right_input=-20064, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=23272","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=23272, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=46322","layer":1},{"info":"compute unary expreesion, input=46322, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-45838","layer":0}],"base":7,"result_base":7,"text":"≤/((↑≴∭⊉3414)↺≴∭⊉20045↬≴∭⊉5213)↼⊘⨖(≴∭⊉23625⫣⪄⊒≴∭⊉5326⋷≴∭⊉3055⫣⪄⊒≴∭⊉13353)=≴∭⊉-250432","reverse_text":"≴∭⊉-250432=≤/((↑≴∭⊉3414)↺≴∭⊉20045↬≴∭⊉5213)↼⊘⨖(≴∭⊉23625⫣⪄⊒≴∭⊉5326⋷≴∭⊉3055⫣⪄⊒≴∭⊉13353)","cot":[{"info":"↑≴∭⊉3414=≴∭⊉363","layer":3},{"info":"≴∭⊉20045↬≴∭⊉5213=NaN","layer":3},{"info":"≴∭⊉363↺NaN=NaN","layer":2},{"info":"≴∭⊉23625⫣⪄⊒≴∭⊉5326=≴∭⊉-45632","layer":3},{"info":"≴∭⊉3055⫣⪄⊒≴∭⊉13353=≴∭⊉-112332","layer":3},{"info":"≴∭⊉-45632⋷≴∭⊉-112332=≴∭⊉124564","layer":2},{"info":"NaN↼⊘⨖≴∭⊉124564=≴∭⊉252023","layer":1},{"info":"≤/≴∭⊉252023=≴∭⊉-250432","layer":0}]}
+{"id":511,"expression_no_base_symbol":"(→⩰$3950$⨿$2372$⪄(⨰⫟⨤$3598$))≦↸((($2127$⫚↹⊑$2820$)⪢($1658$⋾⨃∁$9098$))⋛(↑$3680$)⨿(⫎≠⋺$1249$))","expression":"(→⩰≴∭⊉14342⨿≴∭⊉6626⪄(⨰⫟⨤≴∭⊉13330))≦↸(((≴∭⊉6126⫚↹⊑≴∭⊉11136)⪢(≴∭⊉4556⋾⨃∁≴∭⊉35345))⋛(↑≴∭⊉13505)⨿(⫎≠⋺≴∭⊉3433))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":27734,"operation_count":12,"complexity_ratio":2311.1666666666665,"tree":{"type":"binary","operator":"≦↸","left_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":3950,"base":7},"right_expr":{"type":"numeric_atoms","value":2372,"base":7}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":3598,"base":7}}}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":2127,"base":7},"right_expr":{"type":"numeric_atoms","value":2820,"base":7}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":1658,"base":7},"right_expr":{"type":"numeric_atoms","value":9098,"base":7}}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"numeric_atoms","value":3680,"base":7}},"right_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"numeric_atoms","value":1249,"base":7}}}}},"used_operators":["RygbFNSyEJ","o8Pngz0Tml","SUmda5xLS4","abYXlopdE0","Tw270M8GLb","YbUVn0Rbpy","dWAJyo7jo9","dfKe02y8D2","212REbPD9h","tR7O2zTn5j","LYeZOJ0nQG"],"dependent_operators":["eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","k8jYdgA6NY","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3950","layer":4},{"info":"number node, value=2372","layer":4},{"info":"compute binary expreesion, left_input=3950, right_input=2372, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"number node, value=3598","layer":4},{"info":"compute unary expreesion, input=3598, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-319, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":2},{"info":"compute unary expreesion, input=3979, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":1},{"info":"number node, value=2127","layer":4},{"info":"number node, value=2820","layer":4},{"info":"compute binary expreesion, left_input=2127, right_input=2820, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"number node, value=1658","layer":4},{"info":"number node, value=9098","layer":4},{"info":"compute binary expreesion, left_input=1658, right_input=9098, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=827626770","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=827626770, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"number node, value=3680","layer":4},{"info":"compute unary expreesion, input=3680, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":3},{"info":"number node, value=1249","layer":4},{"info":"compute unary expreesion, input=1249, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=192, right_input=0, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-319, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-312","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-312, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(→⩰≴∭⊉14342⨿≴∭⊉6626⪄(⨰⫟⨤≴∭⊉13330))≦↸(((≴∭⊉6126⫚↹⊑≴∭⊉11136)⪢(≴∭⊉4556⋾⨃∁≴∭⊉35345))⋛(↑≴∭⊉13505)⨿(⫎≠⋺≴∭⊉3433))=NaN","reverse_text":"NaN=(→⩰≴∭⊉14342⨿≴∭⊉6626⪄(⨰⫟⨤≴∭⊉13330))≦↸(((≴∭⊉6126⫚↹⊑≴∭⊉11136)⪢(≴∭⊉4556⋾⨃∁≴∭⊉35345))⋛(↑≴∭⊉13505)⨿(⫎≠⋺≴∭⊉3433))","cot":[{"info":"≴∭⊉14342⨿≴∭⊉6626=≴∭⊉-634","layer":3},{"info":"⨰⫟⨤≴∭⊉13330=NaN","layer":3},{"info":"≴∭⊉-634⪄NaN=≴∭⊉14413","layer":2},{"info":"→⩰≴∭⊉14413=NaN","layer":1},{"info":"≴∭⊉6126⫚↹⊑≴∭⊉11136=≴∭⊉-1206","layer":3},{"info":"≴∭⊉4556⋾⨃∁≴∭⊉35345=≴∭⊉26336466015","layer":3},{"info":"≴∭⊉-1206⪢≴∭⊉26336466015=NaN","layer":2},{"info":"↑≴∭⊉13505=≴∭⊉363","layer":3},{"info":"⫎≠⋺≴∭⊉3433=≴∭⊉0","layer":3},{"info":"≴∭⊉363⨿≴∭⊉0=≴∭⊉-634","layer":2},{"info":"NaN⋛≴∭⊉-634=≴∭⊉-624","layer":1},{"info":"NaN≦↸≴∭⊉-624=NaN","layer":0}]}
+{"id":512,"expression_no_base_symbol":"((⫇(↡$3361$))⇽⩪)⫑%∭","expression":"((⫇(↡≴∭⊉12541))⇽⩪)⫑%∭","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":1028,"operation_count":4,"complexity_ratio":257.0,"tree":{"type":"unary","operator":"⫑%∭","unary_expr":{"type":"unary","operator":"⇽⩪","unary_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"numeric_atoms","value":3361,"base":7}}}}},"used_operators":["xUx7qlDO4z","FonBHBYJbU","YjI8oCXuph","MXaNJeIAZ3"],"dependent_operators":["GODebY97qR","qWUSsah53b","XhwjNDsVaA","oZj3VtZNQx","KYD54nUTWz","nREPSIbpBE","rGHVDoGpnC","W4YGzv6Whe","e1ybzncUwg","23Mk6UjR3U","tifHPKVTfV","g55IO6H4Gj","eewbuw0ToL","AF7qkfDlqP","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3361","layer":4},{"info":"compute unary expreesion, input=3361, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=30249","layer":3},{"info":"compute unary expreesion, input=30249, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-59284","layer":2},{"info":"compute unary expreesion, input=-59284, op_id = FonBHBYJbU, unary_op_definition = 'a⇽⩪ = { (((≉88)⨰(⨑⩽⪐a))⨸⪁((a+95)⇼⇔∾(a⋷a))) }', output=118058","layer":1},{"info":"compute unary expreesion, input=118058, op_id = xUx7qlDO4z, unary_op_definition = 'a⫑%∭ = { (((a⨟⋌⩍23)⫥∨⫟(a≀⫉a))/((a⨚141)⪟⇏(⫡⇟⇯a))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((⫇(↡≴∭⊉12541))⇽⩪)⫑%∭=NaN","reverse_text":"NaN=((⫇(↡≴∭⊉12541))⇽⩪)⫑%∭","cot":[{"info":"↡≴∭⊉12541=≴∭⊉154122","layer":3},{"info":"⫇≴∭⊉154122=≴∭⊉-334561","layer":2},{"info":"≴∭⊉-334561⇽⩪=≴∭⊉1001123","layer":1},{"info":"≴∭⊉1001123⫑%∭=NaN","layer":0}]}
+{"id":513,"expression_no_base_symbol":"((($5520$≬⇓$5902$)⫌⩹⨱)⪬∳)∌↝(⨈⪑($2212$≚⊃≕$4004$)≝⊿($2905$∠↢$2609$))","expression":"(((≴∭⊉22044≬⇓≴∭⊉23131)⫌⩹⨱)⪬∳)∌↝(⨈⪑(≴∭⊉6310≚⊃≕≴∭⊉14450)≝⊿(≴∭⊉11320∠↢≴∭⊉10415))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4372,"operation_count":8,"complexity_ratio":546.5,"tree":{"type":"binary","operator":"∌↝","left_expr":{"type":"unary","operator":"⪬∳","unary_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":5520,"base":7},"right_expr":{"type":"numeric_atoms","value":5902,"base":7}}}},"right_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":2212,"base":7},"right_expr":{"type":"numeric_atoms","value":4004,"base":7}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":2905,"base":7},"right_expr":{"type":"numeric_atoms","value":2609,"base":7}}}}},"used_operators":["9Isq31Ruls","O9U3z1385E","EBcxylXtPf","jWTQ2TZYIH","mp94q5OcYM","OKKcZfAt5B","Bmrmz2XGnR","KbjG8mgYpV"],"dependent_operators":["DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","FU0Cs4j7VP","ukq6epAj5P","k7HXdKtiEU","zVYPLywUTj","LYeZOJ0nQG","kuIXHzHcAH","tcjXMdvYtA","W4YGzv6Whe","rysDP5nf3Z","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","12rbrZMWeM","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C"],"result":"≴∭⊉-10410","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5520","layer":4},{"info":"number node, value=5902","layer":4},{"info":"compute binary expreesion, left_input=5520, right_input=5902, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":3},{"info":"compute unary expreesion, input=-22, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=1357","layer":2},{"info":"compute unary expreesion, input=1357, op_id = O9U3z1385E, unary_op_definition = 'a⪬∳ = { ((a∋a)⊪) , if ((a⪨⊡684)!=357 and (≘a)<480 and (⊲⪭a)>=673) ; (⫎≠⋺(a↛⩡⫤)) , else }', output=-709","layer":1},{"info":"number node, value=2212","layer":4},{"info":"number node, value=4004","layer":4},{"info":"compute binary expreesion, left_input=2212, right_input=4004, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":3},{"info":"number node, value=2905","layer":4},{"info":"number node, value=2609","layer":4},{"info":"compute binary expreesion, left_input=2905, right_input=2609, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-47064","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=-47064, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=93528","layer":2},{"info":"compute unary expreesion, input=93528, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":1},{"info":"compute binary expreesion, left_input=-709, right_input=868, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=-2604","layer":0}],"base":7,"result_base":7,"text":"(((≴∭⊉22044≬⇓≴∭⊉23131)⫌⩹⨱)⪬∳)∌↝(⨈⪑(≴∭⊉6310≚⊃≕≴∭⊉14450)≝⊿(≴∭⊉11320∠↢≴∭⊉10415))=≴∭⊉-10410","reverse_text":"≴∭⊉-10410=(((≴∭⊉22044≬⇓≴∭⊉23131)⫌⩹⨱)⪬∳)∌↝(⨈⪑(≴∭⊉6310≚⊃≕≴∭⊉14450)≝⊿(≴∭⊉11320∠↢≴∭⊉10415))","cot":[{"info":"≴∭⊉22044≬⇓≴∭⊉23131=≴∭⊉-31","layer":3},{"info":"≴∭⊉-31⫌⩹⨱=≴∭⊉3646","layer":2},{"info":"≴∭⊉3646⪬∳=≴∭⊉-2032","layer":1},{"info":"≴∭⊉6310≚⊃≕≴∭⊉14450=≴∭⊉124","layer":3},{"info":"≴∭⊉11320∠↢≴∭⊉10415=≴∭⊉-254133","layer":3},{"info":"≴∭⊉124≝⊿≴∭⊉-254133=≴∭⊉536451","layer":2},{"info":"⨈⪑≴∭⊉536451=≴∭⊉2350","layer":1},{"info":"≴∭⊉-2032∌↝≴∭⊉2350=≴∭⊉-10410","layer":0}]}
+{"id":514,"expression_no_base_symbol":"((⇋⊎⋝($6272$≀⫉$3652$))⇼⇔∾(⫟(⨞⊢$1767$)))⩁⩘((↞≼($2567$∌↝$1051$))⋓($3680$⨚⇆$2753$⫸⊐$1611$∋$3199$))","expression":"((⇋⊎⋝(≴∭⊉24200≀⫉≴∭⊉13435))⇼⇔∾(⫟(⨞⊢≴∭⊉5103)))⩁⩘((↞≼(≴∭⊉10325∌↝≴∭⊉3031))⋓(≴∭⊉13505⨚⇆≴∭⊉11012⫸⊐≴∭⊉4461∋≴∭⊉12220))","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":28974,"operation_count":12,"complexity_ratio":2414.5,"tree":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":6272,"base":7},"right_expr":{"type":"numeric_atoms","value":3652,"base":7}}},"right_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1767,"base":7}}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":2567,"base":7},"right_expr":{"type":"numeric_atoms","value":1051,"base":7}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":3680,"base":7},"right_expr":{"type":"numeric_atoms","value":2753,"base":7}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":1611,"base":7},"right_expr":{"type":"numeric_atoms","value":3199,"base":7}}}}},"used_operators":["gub5Cegaqo","tifHPKVTfV","CzM2PEoXns","oZj3VtZNQx","z4E1FaHLuy","xUOZtlo3hN","T2fj7uvVaJ","DE7zCoGJt9","9Isq31Ruls","mqXw5SEYmG","lwHaAYXP2r","ukq6epAj5P"],"dependent_operators":["DpFCA1CohY","IWmyXbctLI","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6272","layer":4},{"info":"number node, value=3652","layer":4},{"info":"compute binary expreesion, left_input=6272, right_input=3652, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"compute unary expreesion, input=2822, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":2},{"info":"number node, value=1767","layer":4},{"info":"compute unary expreesion, input=1767, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1941","layer":3},{"info":"compute unary expreesion, input=-1941, op_id = z4E1FaHLuy, unary_op_definition = '⫟a = { (((-a)⪨≂(a⨸⪁a))≧⫂∧((a⩷∴a)⨰(a⫡⨏a))) , if (a⫌⩹⨱)>=11 ; (((a+263)⋝⋈⪟(a⨳⩥⨓a))⪒((a⋥≓≎a)⫩⊇)) , else }', output=1703","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1703, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"number node, value=2567","layer":4},{"info":"number node, value=1051","layer":4},{"info":"compute binary expreesion, left_input=2567, right_input=1051, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=-414","layer":2},{"info":"number node, value=3680","layer":4},{"info":"number node, value=2753","layer":4},{"info":"compute binary expreesion, left_input=3680, right_input=2753, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"number node, value=1611","layer":4},{"info":"number node, value=3199","layer":4},{"info":"compute binary expreesion, left_input=1611, right_input=3199, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=6658428","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6658428, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-414, right_input=nan, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((⇋⊎⋝(≴∭⊉24200≀⫉≴∭⊉13435))⇼⇔∾(⫟(⨞⊢≴∭⊉5103)))⩁⩘((↞≼(≴∭⊉10325∌↝≴∭⊉3031))⋓(≴∭⊉13505⨚⇆≴∭⊉11012⫸⊐≴∭⊉4461∋≴∭⊉12220))=NaN","reverse_text":"NaN=((⇋⊎⋝(≴∭⊉24200≀⫉≴∭⊉13435))⇼⇔∾(⫟(⨞⊢≴∭⊉5103)))⩁⩘((↞≼(≴∭⊉10325∌↝≴∭⊉3031))⋓(≴∭⊉13505⨚⇆≴∭⊉11012⫸⊐≴∭⊉4461∋≴∭⊉12220))","cot":[{"info":"≴∭⊉24200≀⫉≴∭⊉13435=≴∭⊉11141","layer":3},{"info":"⇋⊎⋝≴∭⊉11141=NaN","layer":2},{"info":"⨞⊢≴∭⊉5103=≴∭⊉-5442","layer":3},{"info":"⫟≴∭⊉-5442=≴∭⊉4652","layer":2},{"info":"NaN⇼⇔∾≴∭⊉4652=NaN","layer":1},{"info":"≴∭⊉10325∌↝≴∭⊉3031=≴∭⊉0","layer":3},{"info":"↞≼≴∭⊉0=≴∭⊉-1131","layer":2},{"info":"≴∭⊉13505⨚⇆≴∭⊉11012=NaN","layer":3},{"info":"≴∭⊉4461∋≴∭⊉12220=≴∭⊉110411220","layer":3},{"info":"NaN⫸⊐≴∭⊉110411220=NaN","layer":2},{"info":"≴∭⊉-1131⋓NaN=NaN","layer":1},{"info":"NaN⩁⩘NaN=NaN","layer":0}]}
+{"id":515,"expression_no_base_symbol":"(⪓⩚(≇⪴$2203$)⊲⩕⊾$3517$↓$3447$)⪒⊣⊆((⨮↦↱$6576$≁$5932$)⇉⇉)","expression":"(⪓⩚(≇⪴≴∭⊉6265)⊲⩕⊾≴∭⊉13153↓≴∭⊉13023)⪒⊣⊆((⨮↦↱≴∭⊉25113≁≴∭⊉23203)⇉⇉)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":180807,"operation_count":8,"complexity_ratio":22600.875,"tree":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"numeric_atoms","value":2203,"base":7}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":3517,"base":7},"right_expr":{"type":"numeric_atoms","value":3447,"base":7}}}},"right_expr":{"type":"unary","operator":"⇉⇉","unary_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":6576,"base":7},"right_expr":{"type":"numeric_atoms","value":5932,"base":7}}}}},"used_operators":["eRqsBgTDFp","u0R0Locfp2","DmTXOeWf9t","zoVPnxeHJ3","Af076pWI7l","diKm42VcIt","sYcpBQ0cFf","8N2wDY1A35"],"dependent_operators":["sdazOOVcIp","W4YGzv6Whe","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","RygbFNSyEJ","XPYlsWDdGa","k8jYdgA6NY","xUOZtlo3hN","AFVx7xoS7T","iuk5sVOGFA","86A5ENbKR9","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v"],"result":"≴∭⊉2325","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2203","layer":4},{"info":"compute unary expreesion, input=2203, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-5269","layer":3},{"info":"number node, value=3517","layer":4},{"info":"number node, value=3447","layer":4},{"info":"compute binary expreesion, left_input=3517, right_input=3447, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=-5269, right_input=-134, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-48","layer":2},{"info":"compute unary expreesion, input=-48, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":1},{"info":"number node, value=6576","layer":4},{"info":"number node, value=5932","layer":4},{"info":"compute binary expreesion, left_input=6576, right_input=5932, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=129167","layer":3},{"info":"compute unary expreesion, input=129167, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-inf","layer":2},{"info":"compute unary expreesion, input=-inf, op_id = diKm42VcIt, unary_op_definition = 'a⇉⇉ = { (⪸(⨞⊢(a≦↸a))) , if (a⪣⫩)!=30 ; (a%(⪲⇎(a⇌⫙⪟156))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=426, right_input=nan, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=852","layer":0}],"base":7,"result_base":7,"text":"(⪓⩚(≇⪴≴∭⊉6265)⊲⩕⊾≴∭⊉13153↓≴∭⊉13023)⪒⊣⊆((⨮↦↱≴∭⊉25113≁≴∭⊉23203)⇉⇉)=≴∭⊉2325","reverse_text":"≴∭⊉2325=(⪓⩚(≇⪴≴∭⊉6265)⊲⩕⊾≴∭⊉13153↓≴∭⊉13023)⪒⊣⊆((⨮↦↱≴∭⊉25113≁≴∭⊉23203)⇉⇉)","cot":[{"info":"≇⪴≴∭⊉6265=≴∭⊉-21235","layer":3},{"info":"≴∭⊉13153↓≴∭⊉13023=≴∭⊉-251","layer":3},{"info":"≴∭⊉-21235⊲⩕⊾≴∭⊉-251=≴∭⊉-66","layer":2},{"info":"⪓⩚≴∭⊉-66=≴∭⊉1146","layer":1},{"info":"≴∭⊉25113≁≴∭⊉23203=≴∭⊉1045403","layer":3},{"info":"⨮↦↱≴∭⊉1045403=-Inf","layer":2},{"info":"-Inf⇉⇉=NaN","layer":1},{"info":"≴∭⊉1146⪒⊣⊆NaN=≴∭⊉2325","layer":0}]}
+{"id":516,"expression_no_base_symbol":"($1292$⇴∐$2093$)⪬($1624$⪗)⇂≾⫗($1222$⫥∨⫟$8200$⩟)⪣⫩","expression":"(≴∭⊉3524⇴∐≴∭⊉6050)⪬(≴∭⊉4510⪗)⇂≾⫗(≴∭⊉3364⫥∨⫟≴∭⊉32623⩟)⪣⫩","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2463,"operation_count":7,"complexity_ratio":351.85714285714283,"tree":{"type":"unary","operator":"⪣⫩","unary_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":1292,"base":7},"right_expr":{"type":"numeric_atoms","value":2093,"base":7}},"right_expr":{"type":"unary","operator":"⪗","unary_expr":{"type":"numeric_atoms","value":1624,"base":7}}},"right_expr":{"type":"unary","operator":"⩟","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1222,"base":7},"right_expr":{"type":"numeric_atoms","value":8200,"base":7}}}}},"used_operators":["iuk5sVOGFA","aBQ6xLxuTc","Ez1Nq5fNfI","HnzytWxmAO","VEQNXA0ZBg","fOIeswaMU4","KYD54nUTWz"],"dependent_operators":["W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","dWAJyo7jo9","W4YGzv6Whe","Qy55tPpLXF","8w2t5hMYqp","12rbrZMWeM","8HhzD0ZcuI","rGHVDoGpnC"],"result":"≴∭⊉2443","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1292","layer":4},{"info":"number node, value=2093","layer":4},{"info":"compute binary expreesion, left_input=1292, right_input=2093, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"number node, value=1624","layer":4},{"info":"compute unary expreesion, input=1624, op_id = VEQNXA0ZBg, unary_op_definition = 'a⪗ = { (a⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"number node, value=1222","layer":4},{"info":"number node, value=8200","layer":4},{"info":"compute binary expreesion, left_input=1222, right_input=8200, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = fOIeswaMU4, unary_op_definition = 'a⩟ = { (⊄⩳↩((a⋳⪒a)+(155⋥≓≎a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=nan, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = iuk5sVOGFA, unary_op_definition = 'a⪣⫩ = { ((a⋥≓≎a)⋷(a+a)) , if a>=275 ; ((a∲⫓a)≧⫂∧(⪲⇎693)) , else }', output=913","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉3524⇴∐≴∭⊉6050)⪬(≴∭⊉4510⪗)⇂≾⫗(≴∭⊉3364⫥∨⫟≴∭⊉32623⩟)⪣⫩=≴∭⊉2443","reverse_text":"≴∭⊉2443=(≴∭⊉3524⇴∐≴∭⊉6050)⪬(≴∭⊉4510⪗)⇂≾⫗(≴∭⊉3364⫥∨⫟≴∭⊉32623⩟)⪣⫩","cot":[{"info":"≴∭⊉3524⇴∐≴∭⊉6050=NaN","layer":3},{"info":"≴∭⊉4510⪗=NaN","layer":3},{"info":"NaN⪬NaN=≴∭⊉3412","layer":2},{"info":"≴∭⊉3364⫥∨⫟≴∭⊉32623=NaN","layer":3},{"info":"NaN⩟=NaN","layer":2},{"info":"≴∭⊉3412⇂≾⫗NaN=NaN","layer":1},{"info":"NaN⪣⫩=≴∭⊉2443","layer":0}]}
+{"id":517,"expression_no_base_symbol":"((≪$1416$)⪇≇⋚$1726$+⪬∐$1723$)⊲⩕⊾(≤/(≤/$3709$))≄⊠((⪹$5539$)≒∊$1086$≚⊃≕$2628$⫥∨⫟(⇖$1511$)⫯⪬∳($7004$⨱∎))","expression":"((≪≴∭⊉4062)⪇≇⋚≴∭⊉5014+⪬∐≴∭⊉5011)⊲⩕⊾(≤/(≤/≴∭⊉13546))≄⊠((⪹≴∭⊉22102)≒∊≴∭⊉3111≚⊃≕≴∭⊉10443⫥∨⫟(⇖≴∭⊉4256)⫯⪬∳(≴∭⊉26264⨱∎))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":368,"operation_count":14,"complexity_ratio":26.285714285714285,"tree":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"numeric_atoms","value":1416,"base":7}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":1726,"base":7},"right_expr":{"type":"numeric_atoms","value":1723,"base":7}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":3709,"base":7}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":5539,"base":7}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":1086,"base":7},"right_expr":{"type":"numeric_atoms","value":2628,"base":7}}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"numeric_atoms","value":1511,"base":7}},"right_expr":{"type":"unary","operator":"⨱∎","unary_expr":{"type":"numeric_atoms","value":7004,"base":7}}}}},"used_operators":["vXNesLlMH1","DmTXOeWf9t","3sJ7IOPOlU","Qtd6bqUJcN","2GS7woTJqF","eLAdDNolq6","KYD54nUTWz","5KTvxBwnZo","USyYr0JgAa","Bmrmz2XGnR","d7ASUq0ydm","tfWHHpNKUN","MmTdOpaElr"],"dependent_operators":["d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","g55IO6H4Gj","D4vGDi5EA2","rysDP5nf3Z","8HhzD0ZcuI","rGHVDoGpnC","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","tifHPKVTfV","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","2DQ55sFlQl","tifHPKVTfV"],"result":"≴∭⊉4242","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1416","layer":4},{"info":"compute unary expreesion, input=1416, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":3},{"info":"number node, value=1726","layer":4},{"info":"number node, value=1723","layer":4},{"info":"compute binary expreesion, left_input=1726, right_input=1723, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-5178","layer":3},{"info":"compute binary expreesion, left_input=913, right_input=-5178, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":2},{"info":"number node, value=3709","layer":4},{"info":"compute unary expreesion, input=3709, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-3225","layer":3},{"info":"compute unary expreesion, input=-3225, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=3709","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=3709, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-33720","layer":1},{"info":"number node, value=5539","layer":4},{"info":"compute unary expreesion, input=5539, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=-5359","layer":3},{"info":"number node, value=1086","layer":4},{"info":"number node, value=2628","layer":4},{"info":"compute binary expreesion, left_input=1086, right_input=2628, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=-9208","layer":3},{"info":"compute binary expreesion, left_input=-5359, right_input=-9208, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=5843","layer":2},{"info":"number node, value=1511","layer":4},{"info":"compute unary expreesion, input=1511, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":3},{"info":"number node, value=7004","layer":4},{"info":"compute unary expreesion, input=7004, op_id = MmTdOpaElr, unary_op_definition = 'a⨱∎ = { (a⇼⇔∾a) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=0, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=833","layer":2},{"info":"compute binary expreesion, left_input=5843, right_input=833, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-33720, right_input=nan, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":0}],"base":7,"result_base":7,"text":"((≪≴∭⊉4062)⪇≇⋚≴∭⊉5014+⪬∐≴∭⊉5011)⊲⩕⊾(≤/(≤/≴∭⊉13546))≄⊠((⪹≴∭⊉22102)≒∊≴∭⊉3111≚⊃≕≴∭⊉10443⫥∨⫟(⇖≴∭⊉4256)⫯⪬∳(≴∭⊉26264⨱∎))=≴∭⊉4242","reverse_text":"≴∭⊉4242=((≪≴∭⊉4062)⪇≇⋚≴∭⊉5014+⪬∐≴∭⊉5011)⊲⩕⊾(≤/(≤/≴∭⊉13546))≄⊠((⪹≴∭⊉22102)≒∊≴∭⊉3111≚⊃≕≴∭⊉10443⫥∨⫟(⇖≴∭⊉4256)⫯⪬∳(≴∭⊉26264⨱∎))","cot":[{"info":"≪≴∭⊉4062=≴∭⊉2443","layer":3},{"info":"≴∭⊉5014+⪬∐≴∭⊉5011=≴∭⊉-21045","layer":3},{"info":"≴∭⊉2443⪇≇⋚≴∭⊉-21045=≴∭⊉0","layer":2},{"info":"≤/≴∭⊉13546=≴∭⊉-12255","layer":3},{"info":"≤/≴∭⊉-12255=≴∭⊉13546","layer":2},{"info":"≴∭⊉0⊲⩕⊾≴∭⊉13546=≴∭⊉-200211","layer":1},{"info":"⪹≴∭⊉22102=≴∭⊉-21424","layer":3},{"info":"≴∭⊉3111≚⊃≕≴∭⊉10443=≴∭⊉-35563","layer":3},{"info":"≴∭⊉-21424≒∊≴∭⊉-35563=≴∭⊉23015","layer":2},{"info":"⇖≴∭⊉4256=≴∭⊉316","layer":3},{"info":"≴∭⊉26264⨱∎=≴∭⊉0","layer":3},{"info":"≴∭⊉316⫯⪬∳≴∭⊉0=≴∭⊉2300","layer":2},{"info":"≴∭⊉23015⫥∨⫟≴∭⊉2300=NaN","layer":1},{"info":"≴∭⊉-200211≄⊠NaN=≴∭⊉4242","layer":0}]}
+{"id":518,"expression_no_base_symbol":"((∂($1377$⨒$5082$))⩚⊴⇥$6817$⩦$5265$⊱⇼⊻($3112$⊭↱$1851$))⫲⨊","expression":"((∂(≴∭⊉4005⨒≴∭⊉20550))⩚⊴⇥≴∭⊉25606⩦≴∭⊉21231⊱⇼⊻(≴∭⊉12034⊭↱≴∭⊉5253))⫲⨊","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":714,"operation_count":7,"complexity_ratio":102.0,"tree":{"type":"unary","operator":"⫲⨊","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":1377,"base":7},"right_expr":{"type":"numeric_atoms","value":5082,"base":7}}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":6817,"base":7},"right_expr":{"type":"numeric_atoms","value":5265,"base":7}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":3112,"base":7},"right_expr":{"type":"numeric_atoms","value":1851,"base":7}}}}},"used_operators":["CArV6hThFE","NTOWxs364D","Uaa54Peajs","y75s1iXyHd","FyVja0WsTP","0kmYd0q39Y","COABgblf1C"],"dependent_operators":["WmT3o8z6ya","uFcxV4UQCh","2DDjHMKMc0","B3sABdIn96","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd"],"result":"≴∭⊉-2521323","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1377","layer":4},{"info":"number node, value=5082","layer":4},{"info":"compute binary expreesion, left_input=1377, right_input=5082, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-7890","layer":3},{"info":"compute unary expreesion, input=-7890, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=7626","layer":2},{"info":"number node, value=6817","layer":4},{"info":"number node, value=5265","layer":4},{"info":"compute binary expreesion, left_input=6817, right_input=5265, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=13634","layer":3},{"info":"number node, value=3112","layer":4},{"info":"number node, value=1851","layer":4},{"info":"compute binary expreesion, left_input=3112, right_input=1851, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-2517","layer":3},{"info":"compute binary expreesion, left_input=13634, right_input=-2517, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=57338","layer":2},{"info":"compute binary expreesion, left_input=7626, right_input=57338, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-65085","layer":1},{"info":"compute unary expreesion, input=-65085, op_id = CArV6hThFE, unary_op_definition = 'a⫲⨊ = { ((332≫≃)⪹) , if a==35 ; ((a⋘⨑⨽)⋝⋈⪟(a⪛290)) , else }', output=-324642","layer":0}],"base":7,"result_base":7,"text":"((∂(≴∭⊉4005⨒≴∭⊉20550))⩚⊴⇥≴∭⊉25606⩦≴∭⊉21231⊱⇼⊻(≴∭⊉12034⊭↱≴∭⊉5253))⫲⨊=≴∭⊉-2521323","reverse_text":"≴∭⊉-2521323=((∂(≴∭⊉4005⨒≴∭⊉20550))⩚⊴⇥≴∭⊉25606⩦≴∭⊉21231⊱⇼⊻(≴∭⊉12034⊭↱≴∭⊉5253))⫲⨊","cot":[{"info":"≴∭⊉4005⨒≴∭⊉20550=≴∭⊉-32001","layer":3},{"info":"∂≴∭⊉-32001=≴∭⊉31143","layer":2},{"info":"≴∭⊉25606⩦≴∭⊉21231=≴∭⊉54515","layer":3},{"info":"≴∭⊉12034⊭↱≴∭⊉5253=≴∭⊉-10224","layer":3},{"info":"≴∭⊉54515⊱⇼⊻≴∭⊉-10224=≴∭⊉326111","layer":2},{"info":"≴∭⊉31143⩚⊴⇥≴∭⊉326111=≴∭⊉-360516","layer":1},{"info":"≴∭⊉-360516⫲⨊=≴∭⊉-2521323","layer":0}]}
+{"id":519,"expression_no_base_symbol":"⇋⊎⋝((⨣⨃⇪$2600$)⋥⋵⩄(⩎⋉$4326$)⊉↱≁(≻⋜$2592$⫗⊷⫓$4749$))","expression":"⇋⊎⋝((⨣⨃⇪≴∭⊉10403)⋥⋵⩄(⩎⋉≴∭⊉15420)⊉↱≁(≻⋜≴∭⊉10362⫗⊷⫓≴∭⊉16563))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":2421,"operation_count":7,"complexity_ratio":345.85714285714283,"tree":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"numeric_atoms","value":2600,"base":7}},"right_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"numeric_atoms","value":4326,"base":7}}},"right_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":2592,"base":7},"right_expr":{"type":"numeric_atoms","value":4749,"base":7}}}}},"used_operators":["CzM2PEoXns","w2P8NbNXyL","7t3wd0Fuz7","AcOhelriW5","FlXk3pOYe8","3tj9sqzovi","zashukvMKz"],"dependent_operators":["dWAJyo7jo9","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=2600","layer":4},{"info":"compute unary expreesion, input=2600, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":3},{"info":"number node, value=4326","layer":4},{"info":"compute unary expreesion, input=4326, op_id = FlXk3pOYe8, unary_op_definition = '⩎⋉a = { (((a/a)∲⫓(≛a))∴((a⩨a)⨳⩥⨓(⊄⩳↩a))) , if (a⩇∃⫛268)<=24 or a==244 or (↩⪖a)>=4 ; (((a⨔⇊a)∠↢(↸⊣a))≚⊃≕((≦∁a)⨐461)) , else }', output=1650","layer":3},{"info":"compute binary expreesion, left_input=1405, right_input=1650, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":2},{"info":"number node, value=2592","layer":4},{"info":"number node, value=4749","layer":4},{"info":"compute binary expreesion, left_input=2592, right_input=4749, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"compute unary expreesion, input=-134, op_id = 3tj9sqzovi, unary_op_definition = '≻���a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=113, right_input=nan, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"⇋⊎⋝((⨣⨃⇪≴∭⊉10403)⋥⋵⩄(⩎⋉≴∭⊉15420)⊉↱≁(≻⋜≴∭⊉10362⫗⊷⫓≴∭⊉16563))=NaN","reverse_text":"NaN=⇋⊎⋝((⨣⨃⇪≴∭⊉10403)⋥⋵⩄(⩎⋉≴∭⊉15420)⊉↱≁(≻⋜≴∭⊉10362⫗⊷⫓≴∭⊉16563))","cot":[{"info":"⨣⨃⇪≴∭⊉10403=≴∭⊉4045","layer":3},{"info":"⩎⋉≴∭⊉15420=≴∭⊉4545","layer":3},{"info":"≴∭⊉4045⋥⋵⩄≴∭⊉4545=≴∭⊉221","layer":2},{"info":"≴∭⊉10362⫗⊷⫓≴∭⊉16563=≴∭⊉-251","layer":3},{"info":"≻⋜≴∭⊉-251=NaN","layer":2},{"info":"≴∭⊉221⊉↱≁NaN=NaN","layer":1},{"info":"⇋⊎⋝NaN=NaN","layer":0}]}
+{"id":520,"expression_no_base_symbol":"(($5428$⇩)⊱⇼⊻($2758$⨪↰⇹$1074$))⪔⊥($2628$⪕$3801$⊋≦⊧(⫇$1862$))⊴(≇⪴(($6336$⪄$1435$)⫠))","expression":"((≴∭⊉21553⇩)⊱⇼⊻(≴∭⊉11020⨪↰⇹≴∭⊉3063))⪔⊥(≴∭⊉10443⪕≴∭⊉14040⊋≦⊧(⫇≴∭⊉5300))⊴(≇⪴((≴∭⊉24321⪄≴∭⊉4120)⫠))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2983,"operation_count":11,"complexity_ratio":271.1818181818182,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"unary","operator":"⇩","unary_expr":{"type":"numeric_atoms","value":5428,"base":7}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2758,"base":7},"right_expr":{"type":"numeric_atoms","value":1074,"base":7}}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":2628,"base":7},"right_expr":{"type":"numeric_atoms","value":3801,"base":7}},"right_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"numeric_atoms","value":1862,"base":7}}}},"right_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"unary","operator":"⫠","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":6336,"base":7},"right_expr":{"type":"numeric_atoms","value":1435,"base":7}}}}},"used_operators":["Nsiff2A1zJ","HJ9erzHUuu","FyVja0WsTP","vRio1gEz1j","tmPS8pqC7x","oRDoc9rAEX","umQnsF7QlU","YjI8oCXuph","zoVPnxeHJ3","6SnOT2rOjz","SUmda5xLS4"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","W4YGzv6Whe","rJVOvQCfKK","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","Bmrmz2XGnR","tmPS8pqC7x","mp7IySMOzn","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"≴∭⊉-142","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5428","layer":4},{"info":"compute unary expreesion, input=5428, op_id = vRio1gEz1j, unary_op_definition = 'a⇩ = { (a+93) }', output=5521","layer":3},{"info":"number node, value=2758","layer":4},{"info":"number node, value=1074","layer":4},{"info":"compute binary expreesion, left_input=2758, right_input=1074, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2758","layer":3},{"info":"compute binary expreesion, left_input=5521, right_input=2758, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":2},{"info":"number node, value=2628","layer":4},{"info":"number node, value=3801","layer":4},{"info":"compute binary expreesion, left_input=2628, right_input=3801, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=2356","layer":3},{"info":"number node, value=1862","layer":4},{"info":"compute unary expreesion, input=1862, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-2510","layer":3},{"info":"compute binary expreesion, left_input=2356, right_input=-2510, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨���(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=5260","layer":2},{"info":"compute binary expreesion, left_input=434, right_input=5260, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=-8983","layer":1},{"info":"number node, value=6336","layer":4},{"info":"number node, value=1435","layer":4},{"info":"compute binary expreesion, left_input=6336, right_input=1435, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-939557","layer":3},{"info":"compute unary expreesion, input=-939557, op_id = 6SnOT2rOjz, unary_op_definition = 'a⫠ = { ((a⇷0)⨪↰⇹(a≚⊃≕a)) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-8983, right_input=0, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=-79","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉21553⇩)⊱⇼⊻(≴∭⊉11020⨪↰⇹≴∭⊉3063))⪔⊥(≴∭⊉10443⪕≴∭⊉14040⊋≦⊧(⫇≴∭⊉5300))⊴(≇⪴((≴∭⊉24321⪄≴∭⊉4120)⫠))=≴∭⊉-142","reverse_text":"≴∭⊉-142=((≴∭⊉21553⇩)⊱⇼⊻(≴∭⊉11020⨪↰⇹≴∭⊉3063))⪔⊥(≴∭⊉10443⪕≴∭⊉14040⊋≦⊧(⫇≴∭⊉5300))⊴(≇⪴((≴∭⊉24321⪄≴∭⊉4120)⫠))","cot":[{"info":"≴∭⊉21553⇩=≴∭⊉22045","layer":3},{"info":"≴∭⊉11020⨪↰⇹≴∭⊉3063=≴∭⊉11020","layer":3},{"info":"≴∭⊉22045⊱⇼⊻≴∭⊉11020=≴∭⊉1160","layer":2},{"info":"≴∭⊉10443⪕≴∭⊉14040=≴∭⊉6604","layer":3},{"info":"⫇≴∭⊉5300=≴∭⊉-10214","layer":3},{"info":"≴∭⊉6604⊋≦⊧≴∭⊉-10214=≴∭⊉21223","layer":2},{"info":"≴∭⊉1160⪔⊥≴∭⊉21223=≴∭⊉-35122","layer":1},{"info":"≴∭⊉24321⪄≴∭⊉4120=≴∭⊉-10662143","layer":3},{"info":"≴∭⊉-10662143⫠=≴∭⊉0","layer":2},{"info":"≇⪴≴∭⊉0=≴∭⊉0","layer":1},{"info":"≴∭⊉-35122⊴≴∭⊉0=≴∭⊉-142","layer":0}]}
+{"id":521,"expression_no_base_symbol":"(($1243$⫲≸⪮$2034$⨽$7203$⋹⋡⊁$1251$)∘(($4284$∖$2419$)⨐⩸⫘$2837$⨔⇊$2345$))⪣⫩","expression":"((≴∭⊉3424⫲≸⪮≴∭⊉5634⨽≴∭⊉30000⋹⋡⊁≴∭⊉3435)∘((≴∭⊉15330∖≴∭⊉10024)⨐⩸⫘≴∭⊉11162⨔⇊≴∭⊉6560))⪣⫩","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":65413,"operation_count":8,"complexity_ratio":8176.625,"tree":{"type":"unary","operator":"⪣⫩","unary_expr":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":1243,"base":7},"right_expr":{"type":"numeric_atoms","value":2034,"base":7}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":7203,"base":7},"right_expr":{"type":"numeric_atoms","value":1251,"base":7}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":4284,"base":7},"right_expr":{"type":"numeric_atoms","value":2419,"base":7}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":2837,"base":7},"right_expr":{"type":"numeric_atoms","value":2345,"base":7}}}}},"used_operators":["iuk5sVOGFA","Z5m6OM72h2","8HhzD0ZcuI","P3lXMJvFrc","As8RqfVLgs","fu6greOZ01","tXD093vOjl","JclMnS0uGI"],"dependent_operators":["W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI","eH2TOUuTDT","rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","3ViojmjbAp","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI"],"result":"≴∭⊉2443","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1243","layer":4},{"info":"number node, value=2034","layer":4},{"info":"compute binary expreesion, left_input=1243, right_input=2034, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=1243","layer":3},{"info":"number node, value=7203","layer":4},{"info":"number node, value=1251","layer":4},{"info":"compute binary expreesion, left_input=7203, right_input=1251, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=2001","layer":3},{"info":"compute binary expreesion, left_input=1243, right_input=2001, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-4639836","layer":2},{"info":"number node, value=4284","layer":4},{"info":"number node, value=2419","layer":4},{"info":"compute binary expreesion, left_input=4284, right_input=2419, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"number node, value=2837","layer":4},{"info":"number node, value=2345","layer":4},{"info":"compute binary expreesion, left_input=2837, right_input=2345, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=2345","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2345, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-4639836, right_input=nan, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=-9279672","layer":1},{"info":"compute unary expreesion, input=-9279672, op_id = iuk5sVOGFA, unary_op_definition = 'a⪣⫩ = { ((a⋥≓≎a)⋷(a+a)) , if a>=275 ; ((a∲⫓a)≧⫂∧(⪲⇎693)) , else }', output=913","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉3424⫲≸⪮≴∭⊉5634⨽≴∭⊉30000⋹⋡⊁≴∭⊉3435)∘((≴∭⊉15330∖≴∭⊉10024)⨐⩸⫘≴∭⊉11162⨔⇊≴∭⊉6560))⪣⫩=≴∭⊉2443","reverse_text":"≴∭⊉2443=((≴∭⊉3424⫲≸⪮≴∭⊉5634⨽≴∭⊉30000⋹⋡⊁≴∭⊉3435)∘((≴∭⊉15330∖≴∭⊉10024)⨐⩸⫘≴∭⊉11162⨔⇊≴∭⊉6560))⪣⫩","cot":[{"info":"≴∭⊉3424⫲≸⪮≴∭⊉5634=≴∭⊉3424","layer":3},{"info":"≴∭⊉30000⋹⋡⊁≴∭⊉3435=≴∭⊉5556","layer":3},{"info":"≴∭⊉3424⨽≴∭⊉5556=≴∭⊉-54303135","layer":2},{"info":"≴∭⊉15330∖≴∭⊉10024=≴∭⊉0","layer":3},{"info":"≴∭⊉11162⨔⇊≴∭⊉6560=≴∭⊉6560","layer":3},{"info":"≴∭⊉0⨐⩸⫘≴∭⊉6560=NaN","layer":2},{"info":"≴∭⊉-54303135∘NaN=≴∭⊉-141606303","layer":1},{"info":"≴∭⊉-141606303⪣⫩=≴∭⊉2443","layer":0}]}
+{"id":522,"expression_no_base_symbol":"($1663$⩼⇪↪$1957$≒∊($2037$⇀∌))⋕⪉⪜(($4406$≎⊠⪸$2021$)∼$1609$⫘$1875$)⪄(($1595$⩉⊫⨁)⊀⩕)⨐(⪸($3283$⪡$1047$))","expression":"(≴∭⊉4564⩼⇪↪≴∭⊉5464≒∊(≴∭⊉5640⇀∌))⋕⪉⪜((≴∭⊉15563≎⊠⪸≴∭⊉5615)∼≴∭⊉4456⫘≴∭⊉5316)⪄((≴∭⊉4436⩉⊫⨁)⊀⩕)⨐(⪸(≴∭⊉12400⪡≴∭⊉3024))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":26009,"operation_count":13,"complexity_ratio":2000.6923076923076,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":1663,"base":7},"right_expr":{"type":"numeric_atoms","value":1957,"base":7}},"right_expr":{"type":"unary","operator":"⇀∌","unary_expr":{"type":"numeric_atoms","value":2037,"base":7}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":4406,"base":7},"right_expr":{"type":"numeric_atoms","value":2021,"base":7}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":1609,"base":7},"right_expr":{"type":"numeric_atoms","value":1875,"base":7}}}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"unary","operator":"⊀⩕","unary_expr":{"type":"unary","operator":"⩉⊫⨁","unary_expr":{"type":"numeric_atoms","value":1595,"base":7}}},"right_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":3283,"base":7},"right_expr":{"type":"numeric_atoms","value":1047,"base":7}}}}},"used_operators":["SUmda5xLS4","z6LnFrNh4i","5KTvxBwnZo","ocnLzx9CaJ","2k53nXOpI5","DyGG3AbaNP","bJkvcejdHO","48vC8HMD2b","Noe24qw2ks","r0FS3hW4cC","7qqUquhhSb","86A5ENbKR9","oraRL2iQuh"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","Q3PJZHRvZv","ddLRYrp01A","AcOhelriW5","7t3wd0Fuz7","3tVxb0NHM4","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","rGHVDoGpnC","nhYeJWJD5X","7j4O788W3g","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R"],"result":"≴∭⊉-136423","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1663","layer":4},{"info":"number node, value=1957","layer":4},{"info":"compute binary expreesion, left_input=1663, right_input=1957, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-11156","layer":3},{"info":"number node, value=2037","layer":4},{"info":"compute unary expreesion, input=2037, op_id = 2k53nXOpI5, unary_op_definition = 'a⇀∌ = { ((a⪎↠(⨣⨃⇪a))⋥⋵⩄(a∊∟⩊(⊥a))) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=-11156, right_input=113, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=11640","layer":2},{"info":"number node, value=4406","layer":4},{"info":"number node, value=2021","layer":4},{"info":"compute binary expreesion, left_input=4406, right_input=2021, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1140681","layer":3},{"info":"number node, value=1609","layer":4},{"info":"number node, value=1875","layer":4},{"info":"compute binary expreesion, left_input=1609, right_input=1875, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=1896589","layer":3},{"info":"compute binary expreesion, left_input=1140681, right_input=1896589, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=11640, right_input=nan, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":1},{"info":"number node, value=1595","layer":4},{"info":"compute unary expreesion, input=1595, op_id = 7qqUquhhSb, unary_op_definition = 'a⩉⊫⨁ = { (331↺a) }', output=1595","layer":3},{"info":"compute unary expreesion, input=1595, op_id = r0FS3hW4cC, unary_op_definition = 'a⊀⩕ = { (a⨟⋌⩍(181∇⊂⋱a)) }', output=0","layer":2},{"info":"number node, value=3283","layer":4},{"info":"number node, value=1047","layer":4},{"info":"compute binary expreesion, left_input=3283, right_input=1047, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"compute unary expreesion, input=107, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-1610","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-1610, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=204, right_input=0, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-26281","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉4564⩼⇪↪≴∭⊉5464≒∊(≴∭⊉5640⇀∌))⋕⪉⪜((≴∭⊉15563≎⊠⪸≴∭⊉5615)∼≴∭⊉4456⫘≴∭⊉5316)⪄((≴∭⊉4436⩉⊫⨁)⊀⩕)⨐(⪸(≴∭⊉12400⪡≴∭⊉3024))=≴∭⊉-136423","reverse_text":"≴∭⊉-136423=(≴∭⊉4564⩼⇪↪≴∭⊉5464≒∊(≴∭⊉5640⇀∌))⋕⪉⪜((≴∭⊉15563≎⊠⪸≴∭⊉5615)∼≴∭⊉4456⫘≴∭⊉5316)⪄((≴∭⊉4436⩉⊫⨁)⊀⩕)⨐(⪸(≴∭⊉12400⪡≴∭⊉3024))","cot":[{"info":"≴∭⊉4564⩼⇪↪≴∭⊉5464=≴∭⊉-44345","layer":3},{"info":"≴∭⊉5640⇀∌=≴∭⊉221","layer":3},{"info":"≴∭⊉-44345≒∊≴∭⊉221=≴∭⊉45636","layer":2},{"info":"≴∭⊉15563≎⊠⪸≴∭⊉5615=≴∭⊉12460413","layer":3},{"info":"≴∭⊉4456⫘≴∭⊉5316=≴∭⊉22056262","layer":3},{"info":"≴∭⊉12460413∼≴∭⊉22056262=NaN","layer":2},{"info":"≴∭⊉45636⋕⪉⪜NaN=≴∭⊉411","layer":1},{"info":"≴∭⊉4436⩉⊫⨁=≴∭⊉4436","layer":3},{"info":"≴∭⊉4436⊀⩕=≴∭⊉0","layer":2},{"info":"≴∭⊉12400⪡≴∭⊉3024=≴∭⊉212","layer":3},{"info":"⪸≴∭⊉212=≴∭⊉-4460","layer":2},{"info":"≴∭⊉0⨐≴∭⊉-4460=≴∭⊉0","layer":1},{"info":"≴∭⊉411⪄≴∭⊉0=≴∭⊉-136423","layer":0}]}
+{"id":523,"expression_no_base_symbol":"((⪝⪂⫅($2790$⪭≯$3749$))⊭∹↮)+⇶⊼(($1371$⪄$6817$)⫁⪎($3990$≨$3302$))⪃⊛⇣(→⩰$7379$⫞⩸⩒$1586$)","expression":"((⪝⪂⫅(≴∭⊉11064⪭≯≴∭⊉13634))⊭∹↮)+⇶⊼((≴∭⊉3666⪄≴∭⊉25606)⫁⪎(≴∭⊉14430≨≴��⊉12425))⪃⊛⇣(→⩰≴∭⊉30341⫞⩸⩒≴∭⊉4424)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2925,"operation_count":10,"complexity_ratio":292.5,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":2790,"base":7},"right_expr":{"type":"numeric_atoms","value":3749,"base":7}}}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1371,"base":7},"right_expr":{"type":"numeric_atoms","value":6817,"base":7}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":3990,"base":7},"right_expr":{"type":"numeric_atoms","value":3302,"base":7}}},"right_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":7379,"base":7},"right_expr":{"type":"numeric_atoms","value":1586,"base":7}}}}},"used_operators":["TpPTUOHfaN","xNBdhnnwKq","XTarYq4gQB","XAx5wpdLa6","rrgAzCduG9","xRrnTEsQ6j","SUmda5xLS4","0KMCeP1Jsh","o8Pngz0Tml","XGcMNugi78"],"dependent_operators":["AHs5Up7iyr","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","9HNa5Wba9A","8w2t5hMYqp","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2790","layer":4},{"info":"number node, value=3749","layer":4},{"info":"compute binary expreesion, left_input=2790, right_input=3749, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=nan","layer":1},{"info":"number node, value=1371","layer":4},{"info":"number node, value=6817","layer":4},{"info":"compute binary expreesion, left_input=1371, right_input=6817, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-226265","layer":3},{"info":"number node, value=3990","layer":4},{"info":"number node, value=3302","layer":4},{"info":"compute binary expreesion, left_input=3990, right_input=3302, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-37424","layer":3},{"info":"compute binary expreesion, left_input=-226265, right_input=-37424, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-188841","layer":2},{"info":"number node, value=7379","layer":4},{"info":"number node, value=1586","layer":4},{"info":"compute binary expreesion, left_input=7379, right_input=1586, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=1586","layer":3},{"info":"compute unary expreesion, input=1586, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-188841, right_input=nan, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1234, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":0}],"base":7,"result_base":7,"text":"((⪝⪂⫅(≴∭⊉11064⪭≯≴∭⊉13634))⊭∹↮)+⇶⊼((≴∭⊉3666⪄≴∭⊉25606)⫁⪎(≴∭⊉14430≨≴∭⊉12425))⪃⊛⇣(→⩰≴∭⊉30341⫞⩸⩒≴∭⊉4424)=NaN","reverse_text":"NaN=((⪝⪂⫅(≴∭⊉11064⪭≯≴∭⊉13634))⊭∹↮)+⇶⊼((≴∭⊉3666⪄≴∭⊉25606)⫁⪎(≴∭⊉14430≨≴∭⊉12425))⪃⊛⇣(→⩰≴∭⊉30341⫞⩸⩒≴∭⊉4424)","cot":[{"info":"≴∭⊉11064⪭≯≴∭⊉13634=NaN","layer":3},{"info":"⪝⪂⫅NaN=NaN","layer":2},{"info":"NaN⊭∹↮=NaN","layer":1},{"info":"≴∭⊉3666⪄≴∭⊉25606=≴∭⊉-1631444","layer":3},{"info":"≴∭⊉14430≨≴∭⊉12425=≴∭⊉-214052","layer":3},{"info":"≴∭⊉-1631444⫁⪎≴∭⊉-214052=≴∭⊉-1414362","layer":2},{"info":"≴∭⊉30341⫞⩸⩒≴∭⊉4424=≴∭⊉4424","layer":3},{"info":"→⩰≴∭⊉4424=NaN","layer":2},{"info":"≴∭⊉-1414362⪃⊛⇣NaN=≴∭⊉3412","layer":1},{"info":"NaN+⇶⊼≴∭⊉3412=NaN","layer":0}]}
+{"id":524,"expression_no_base_symbol":"((⊖$1639$)⊢$2645$∌$3338$∣(($1207$⪐)⊉≛↸($8165$*$1117$)))⫘(((∓⪦$1843$)∣($1164$↙$4537$))⊵↤)","expression":"((⊖≴∭⊉4531)⊢≴∭⊉10466∌≴∭⊉12506∣((≴∭⊉3343⪐)⊉≛↸(≴∭⊉32543*≴∭⊉3154)))⫘(((∓⪦≴∭⊉5242)∣(≴∭⊉3252↙≴∭⊉16141))⊵↤)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":6208,"operation_count":12,"complexity_ratio":517.3333333333334,"tree":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"numeric_atoms","value":1639,"base":7}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":2645,"base":7},"right_expr":{"type":"numeric_atoms","value":3338,"base":7}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":1207,"base":7}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":8165,"base":7},"right_expr":{"type":"numeric_atoms","value":1117,"base":7}}}},"right_expr":{"type":"unary","operator":"⊵↤","unary_expr":{"type":"binary","operator":"∣","left_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"numeric_atoms","value":1843,"base":7}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1164,"base":7},"right_expr":{"type":"numeric_atoms","value":4537,"base":7}}}}},"used_operators":["48vC8HMD2b","PPChnnnBFF","5twsqlHp2o","U6pG0PXrV3","8cLx32lpNA","DZ8iAZOCBD","eH2TOUuTDT","9HNa5Wba9A","7IPrd9c3lf","D309nIvmXG","yyfyN0ffXY"],"dependent_operators":["OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","eLAdDNolq6","W4YGzv6Whe","9FxExcQeMw","Qy55tPpLXF","BjRHVeLaeN","tifHPKVTfV","2DDjHMKMc0","f6k1SAg4EE","Z2TMIBDE3Q","eewbuw0ToL","QMFrweE19q","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","tmPS8pqC7x","DpFCA1CohY"],"result":"≴∭⊉12026141","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1639","layer":4},{"info":"compute unary expreesion, input=1639, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":3},{"info":"number node, value=2645","layer":4},{"info":"number node, value=3338","layer":4},{"info":"compute binary expreesion, left_input=2645, right_input=3338, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-3338","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-3338, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-244","layer":2},{"info":"number node, value=1207","layer":4},{"info":"compute unary expreesion, input=1207, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=2414","layer":3},{"info":"number node, value=8165","layer":4},{"info":"number node, value=1117","layer":4},{"info":"compute binary expreesion, left_input=8165, right_input=1117, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=9120305","layer":3},{"info":"compute binary expreesion, left_input=2414, right_input=9120305, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4828","layer":2},{"info":"compute binary expreesion, left_input=-244, right_input=4828, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=-244","layer":1},{"info":"number node, value=1843","layer":4},{"info":"compute unary expreesion, input=1843, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=1435","layer":3},{"info":"number node, value=1164","layer":4},{"info":"number node, value=4537","layer":4},{"info":"compute binary expreesion, left_input=1164, right_input=4537, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-13611","layer":3},{"info":"compute binary expreesion, left_input=1435, right_input=-13611, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=-478","layer":2},{"info":"compute unary expreesion, input=-478, op_id = 7IPrd9c3lf, unary_op_definition = 'a⊵↤ = { (((a⪒a)+a)⇼⇔∾((a⫡⨏a)⩤)) , if (a!=425 and (≤/a)>523) ; (((a⫩⊇)⨰(a⋥≓≎a))⋥≓≎((a⩷∴a)⋝⋈⪟(a⩷∴a))) , else }', output=2085","layer":1},{"info":"compute binary expreesion, left_input=-244, right_input=2085, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=1065779","layer":0}],"base":7,"result_base":7,"text":"((⊖≴∭⊉4531)⊢≴∭⊉10466∌≴∭⊉12506∣((≴∭⊉3343⪐)⊉≛↸(≴∭⊉32543*≴∭⊉3154)))⫘(((∓⪦≴∭⊉5242)∣(≴∭⊉3252↙≴∭⊉16141))⊵↤)=≴∭⊉12026141","reverse_text":"≴∭⊉12026141=((⊖≴∭⊉4531)⊢≴∭⊉10466∌≴∭⊉12506∣((≴∭⊉3343⪐)⊉≛↸(≴∭⊉32543*≴∭⊉3154)))⫘(((∓⪦≴∭⊉5242)∣(≴∭⊉3252↙≴∭⊉16141))⊵↤)","cot":[{"info":"⊖≴∭⊉4531=≴∭⊉0","layer":3},{"info":"≴∭⊉10466∌≴∭⊉12506=≴∭⊉-12506","layer":3},{"info":"≴∭⊉0⊢≴∭⊉-12506=≴∭⊉-466","layer":2},{"info":"≴∭⊉3343⪐=≴∭⊉10016","layer":3},{"info":"≴∭⊉32543*≴∭⊉3154=≴∭⊉140343545","layer":3},{"info":"≴∭⊉10016⊉≛↸≴∭⊉140343545=≴∭⊉20035","layer":2},{"info":"≴∭⊉-466∣≴∭⊉20035=≴∭⊉-466","layer":1},{"info":"∓⪦≴∭⊉5242=≴∭⊉4120","layer":3},{"info":"≴∭⊉3252↙≴∭⊉16141=≴∭⊉-54453","layer":3},{"info":"≴∭⊉4120∣≴∭⊉-54453=≴∭⊉-1252","layer":2},{"info":"≴∭⊉-1252⊵↤=≴∭⊉6036","layer":1},{"info":"≴∭⊉-466⫘≴∭⊉6036=≴∭⊉12026141","layer":0}]}
+{"id":525,"expression_no_base_symbol":"⨩∲⋌((⩷($1341$∠↢$1591$))⪔($1316$≌$3359$⊟⇱))","expression":"⨩∲⋌((⩷(≴∭⊉3624∠↢≴∭⊉4432))⪔(≴∭⊉3560≌≴∭⊉12536⊟⇱))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3629,"operation_count":6,"complexity_ratio":604.8333333333334,"tree":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":1341,"base":7},"right_expr":{"type":"numeric_atoms","value":1591,"base":7}}},"right_expr":{"type":"unary","operator":"⊟⇱","unary_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":1316,"base":7},"right_expr":{"type":"numeric_atoms","value":3359,"base":7}}}}},"used_operators":["aSik1wnThz","GjBEYRfMaF","1h0rLqGiFr","KbjG8mgYpV","03sUfWo75k","lyWz822IDG"],"dependent_operators":["rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","IWmyXbctLI","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1341","layer":4},{"info":"number node, value=1591","layer":4},{"info":"compute binary expreesion, left_input=1341, right_input=1591, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-26556","layer":3},{"info":"compute unary expreesion, input=-26556, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=318593","layer":2},{"info":"number node, value=1316","layer":4},{"info":"number node, value=3359","layer":4},{"info":"compute binary expreesion, left_input=1316, right_input=3359, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 03sUfWo75k, unary_op_definition = 'a⊟⇱ = { (a⪮%⊝a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=318593, right_input=nan, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"⨩∲⋌((⩷(≴∭⊉3624∠↢≴∭⊉4432))⪔(≴∭⊉3560≌≴∭⊉12536⊟⇱))=NaN","reverse_text":"NaN=⨩∲⋌((⩷(≴∭⊉3624∠↢≴∭⊉4432))⪔(≴∭⊉3560≌≴∭⊉12536⊟⇱))","cot":[{"info":"≴∭⊉3624∠↢≴∭⊉4432=≴∭⊉-140265","layer":3},{"info":"⩷≴∭⊉-140265=≴∭⊉2464562","layer":2},{"info":"≴∭⊉3560≌≴∭⊉12536=NaN","layer":3},{"info":"NaN⊟⇱=NaN","layer":2},{"info":"≴∭⊉2464562⪔NaN=NaN","layer":1},{"info":"⨩∲⋌NaN=NaN","layer":0}]}
+{"id":526,"expression_no_base_symbol":"(($1656$⪕$1180$)≨(↨$2682$)⩺⪪(⋗⩴⪓($2532$≀⩗∶$1089$)))≀⫉(($1319$↼⊘⨖$3400$)≹⇙⪍(≦∁$6280$))∊∟⩊($6351$⊨$5144$∪⫐$2430$⇷$1027$)","expression":"((≴∭⊉4554⪕≴∭⊉3304)≨(↨≴∭⊉10551)⩺⪪(⋗⩴⪓(≴∭⊉10245≀⩗∶≴∭⊉3114)))≀⫉((≴∭⊉3563↼⊘⨖≴∭⊉12625)≹⇙⪍(≦∁≴∭⊉24211))∊∟⩊(≴∭⊉24342⊨≴∭⊉20666∪⫐≴∭⊉10041⇷≴∭⊉2665)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":34637,"operation_count":14,"complexity_ratio":2474.0714285714284,"tree":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":1656,"base":7},"right_expr":{"type":"numeric_atoms","value":1180,"base":7}},"right_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"numeric_atoms","value":2682,"base":7}}},"right_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":2532,"base":7},"right_expr":{"type":"numeric_atoms","value":1089,"base":7}}}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":1319,"base":7},"right_expr":{"type":"numeric_atoms","value":3400,"base":7}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":6280,"base":7}}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":6351,"base":7},"right_expr":{"type":"numeric_atoms","value":5144,"base":7}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2430,"base":7},"right_expr":{"type":"numeric_atoms","value":1027,"base":7}}}}},"used_operators":["oZj3VtZNQx","uvdQJvN4PV","0KMCeP1Jsh","umQnsF7QlU","jiX4gk2v2Q","nOKPl9n5zu","8INZBEW696","ddLRYrp01A","AHs5Up7iyr","bPywburJMS","9ICcGScMcE","7YooWSwCyH","vg4gO5BX6G","mp7IySMOzn"],"dependent_operators":["9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","rGHVDoGpnC","oZj3VtZNQx","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","dWAJyo7jo9","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rJVOvQCfKK","2DDjHMKMc0","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"≴∭⊉11141","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1656","layer":4},{"info":"number node, value=1180","layer":4},{"info":"compute binary expreesion, left_input=1656, right_input=1180, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=3033","layer":3},{"info":"number node, value=2682","layer":4},{"info":"compute unary expreesion, input=2682, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3033, right_input=nan, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-27854","layer":2},{"info":"number node, value=2532","layer":4},{"info":"number node, value=1089","layer":4},{"info":"compute binary expreesion, left_input=2532, right_input=1089, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=913","layer":2},{"info":"compute binary expreesion, left_input=-27854, right_input=913, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":1},{"info":"number node, value=1319","layer":4},{"info":"number node, value=3400","layer":4},{"info":"compute binary expreesion, left_input=1319, right_input=3400, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=6578","layer":3},{"info":"number node, value=6280","layer":4},{"info":"compute unary expreesion, input=6280, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=6280","layer":3},{"info":"compute binary expreesion, left_input=6578, right_input=6280, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=6351","layer":4},{"info":"number node, value=5144","layer":4},{"info":"compute binary expreesion, left_input=6351, right_input=5144, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=26435","layer":3},{"info":"number node, value=2430","layer":4},{"info":"number node, value=1027","layer":4},{"info":"compute binary expreesion, left_input=2430, right_input=1027, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2054","layer":3},{"info":"compute binary expreesion, left_input=26435, right_input=2054, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=26435","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=26435, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=26435","layer":1},{"info":"compute binary expreesion, left_input=-1818, right_input=26435, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉4554⪕≴∭⊉3304)≨(↨≴∭⊉10551)⩺⪪(⋗⩴⪓(≴∭⊉10245≀⩗∶≴∭⊉3114)))≀⫉((≴∭⊉3563↼⊘⨖≴∭⊉12625)≹⇙⪍(≦∁≴∭⊉24211))∊∟⩊(≴∭⊉24342⊨≴∭⊉20666∪⫐≴∭⊉10041⇷≴∭⊉2665)=≴∭⊉11141","reverse_text":"≴∭⊉11141=((≴∭⊉4554⪕≴∭⊉3304)≨(↨≴∭⊉10551)⩺⪪(⋗⩴⪓(≴∭⊉10245≀⩗∶≴∭⊉3114)))≀⫉((≴∭⊉3563↼⊘⨖≴∭⊉12625)≹⇙⪍(≦∁≴∭⊉24211))∊∟⩊(≴∭⊉24342⊨≴∭⊉20666∪⫐≴∭⊉10041⇷≴∭⊉2665)","cot":[{"info":"≴∭⊉4554⪕≴∭⊉3304=≴∭⊉11562","layer":3},{"info":"↨≴∭⊉10551=NaN","layer":3},{"info":"≴∭⊉11562≨NaN=≴∭⊉-144131","layer":2},{"info":"≴∭⊉10245≀⩗∶≴∭⊉3114=≴∭⊉0","layer":3},{"info":"⋗⩴⪓≴∭⊉0=≴∭⊉2443","layer":2},{"info":"≴∭⊉-144131⩺⪪≴∭⊉2443=≴∭⊉-5205","layer":1},{"info":"≴∭⊉3563↼⊘⨖≴∭⊉12625=≴∭⊉25115","layer":3},{"info":"≦∁≴∭⊉24211=≴∭⊉24211","layer":3},{"info":"≴∭⊉25115≹⇙⪍≴∭⊉24211=NaN","layer":2},{"info":"≴∭⊉24342⊨≴∭⊉20666=≴∭⊉140033","layer":3},{"info":"≴∭⊉10041⇷≴∭⊉2665=≴∭⊉5663","layer":3},{"info":"≴∭⊉140033∪⫐≴∭⊉5663=≴∭⊉140033","layer":2},{"info":"NaN∊∟⩊≴∭⊉140033=≴∭⊉140033","layer":1},{"info":"≴∭⊉-5205≀⫉≴∭⊉140033=≴∭⊉11141","layer":0}]}
+{"id":527,"expression_no_base_symbol":"((⨙⪌$2172$)↱$1051$⨰$8520$⇼⇔∾($4533$∝$2186$)⫗⊷⫓($6340$≳⇉$4249$))⊋≦⊧($3448$⪁$1419$)⪮%⊝$7227$∓⋝$1383$≄⊠($6397$⪪$5174$⨎($1173$⨸⪁$7038$))","expression":"((⨙⪌≴∭⊉6222)↱≴∭⊉3031⨰≴∭⊉33561⇼⇔∾(≴∭⊉16134∝≴∭⊉6242)⫗⊷⫓(≴∭⊉24325≳⇉≴∭⊉15250))⊋≦⊧(≴∭⊉13024⪁≴∭⊉4065)⪮%⊝≴∭⊉30033∓⋝≴∭⊉4014≄⊠(≴∭⊉24436⪪≴∭⊉21041⨎(≴∭⊉3264⨸⪁≴∭⊉26343))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":317286757,"operation_count":15,"complexity_ratio":21152450.466666665,"tree":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"↱","left_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"numeric_atoms","value":2172,"base":7}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1051,"base":7},"right_expr":{"type":"numeric_atoms","value":8520,"base":7}}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":4533,"base":7},"right_expr":{"type":"numeric_atoms","value":2186,"base":7}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":6340,"base":7},"right_expr":{"type":"numeric_atoms","value":4249,"base":7}}}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":3448,"base":7},"right_expr":{"type":"numeric_atoms","value":1419,"base":7}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":7227,"base":7},"right_expr":{"type":"numeric_atoms","value":1383,"base":7}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":6397,"base":7},"right_expr":{"type":"numeric_atoms","value":5174,"base":7}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1173,"base":7},"right_expr":{"type":"numeric_atoms","value":7038,"base":7}}}}},"used_operators":["oRDoc9rAEX","tifHPKVTfV","SR5kFfdi6N","vEGLkm4Z2k","eewbuw0ToL","zashukvMKz","cTDWOvIxvz","V0kx6qeWkN","vXNesLlMH1","IWmyXbctLI","I7sXao9hZE","PoHhknlbAi","rJVOvQCfKK","xD69zh8xqp","g55IO6H4Gj"],"dependent_operators":["DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","rysDP5nf3Z","t8gj7n24qd","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","7j4O788W3g","W4YGzv6Whe","COABgblf1C","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","FU0Cs4j7VP","JclMnS0uGI","W4YGzv6Whe"],"result":"≴∭⊉-2434614","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2172","layer":4},{"info":"compute unary expreesion, input=2172, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":3},{"info":"number node, value=1051","layer":4},{"info":"number node, value=8520","layer":4},{"info":"compute binary expreesion, left_input=1051, right_input=8520, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-7459","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=-7459, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-44360","layer":2},{"info":"number node, value=4533","layer":4},{"info":"number node, value=2186","layer":4},{"info":"compute binary expreesion, left_input=4533, right_input=2186, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=4538","layer":3},{"info":"number node, value=6340","layer":4},{"info":"number node, value=4249","layer":4},{"info":"compute binary expreesion, left_input=6340, right_input=4249, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=4538, right_input=nan, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":2},{"info":"compute binary expreesion, left_input=-44360, right_input=-134, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=44226","layer":1},{"info":"number node, value=3448","layer":4},{"info":"number node, value=1419","layer":4},{"info":"compute binary expreesion, left_input=3448, right_input=1419, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"number node, value=7227","layer":4},{"info":"number node, value=1383","layer":4},{"info":"compute binary expreesion, left_input=7227, right_input=1383, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"number node, value=6397","layer":4},{"info":"number node, value=5174","layer":4},{"info":"compute binary expreesion, left_input=6397, right_input=5174, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-962036","layer":3},{"info":"number node, value=1173","layer":4},{"info":"number node, value=7038","layer":4},{"info":"compute binary expreesion, left_input=1173, right_input=7038, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=16422","layer":3},{"info":"compute binary expreesion, left_input=-962036, right_input=16422, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=16422","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=16422, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=267420","layer":1},{"info":"compute binary expreesion, left_input=44226, right_input=267420, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=-311406","layer":0}],"base":7,"result_base":7,"text":"((⨙⪌≴∭⊉6222)↱≴∭⊉3031⨰≴∭⊉33561⇼⇔∾(≴∭⊉16134∝≴∭⊉6242)⫗⊷⫓(≴∭⊉24325≳⇉≴∭⊉15250))⊋≦⊧(≴∭⊉13024⪁≴∭⊉4065)⪮%⊝≴∭⊉30033∓⋝≴∭⊉4014≄⊠(≴∭⊉24436⪪≴∭⊉21041⨎(≴∭⊉3264⨸⪁≴∭⊉26343))=≴∭⊉-2434614","reverse_text":"≴∭⊉-2434614=((⨙⪌≴∭⊉6222)↱≴∭⊉3031⨰≴∭⊉33561⇼⇔∾(≴∭⊉16134∝≴∭⊉6242)⫗⊷⫓(≴∭⊉24325≳⇉≴∭⊉15250))⊋≦⊧(≴∭⊉13024⪁≴∭⊉4065)⪮%⊝≴∭⊉30033∓⋝≴∭⊉4014≄⊠(≴∭⊉24436⪪≴∭⊉21041⨎(≴∭⊉3264⨸⪁≴∭⊉26343))","cot":[{"info":"⨙⪌≴∭⊉6222=≴∭⊉2350","layer":3},{"info":"≴∭⊉3031⨰≴∭⊉33561=≴∭⊉-30514","layer":3},{"info":"≴∭⊉2350↱≴∭⊉-30514=≴∭⊉-243221","layer":2},{"info":"≴∭⊉16134∝≴∭⊉6242=≴∭⊉16142","layer":3},{"info":"≴∭⊉24325≳⇉≴∭⊉15250=NaN","layer":3},{"info":"≴∭⊉16142⫗⊷⫓NaN=≴∭⊉-251","layer":2},{"info":"≴∭⊉-243221⇼⇔∾≴∭⊉-251=≴∭⊉242640","layer":1},{"info":"≴∭⊉13024⪁≴∭⊉4065=NaN","layer":3},{"info":"≴∭⊉30033∓⋝≴∭⊉4014=≴∭⊉124","layer":3},{"info":"NaN⪮%⊝≴∭⊉124=NaN","layer":2},{"info":"≴∭⊉24436⪪≴∭⊉21041=≴∭⊉-11114525","layer":3},{"info":"≴∭⊉3264⨸⪁≴∭⊉26343=≴∭⊉65610","layer":3},{"info":"≴∭⊉-11114525⨎≴∭⊉65610=≴∭⊉65610","layer":2},{"info":"NaN≄⊠≴∭⊉65610=≴∭⊉2162436","layer":1},{"info":"≴∭⊉242640⊋≦⊧≴∭⊉2162436=≴∭⊉-2434614","layer":0}]}
+{"id":528,"expression_no_base_symbol":"((⩒∊$1075$)⨪↰⇹($2321$⫢⨠$8087$))≁($5733$⇄$7597$∲⫓(∟⋨$1359$))⊋(($2516$≴⪞⇿$2003$⨒($8855$⊫∞))⇐≅)","expression":"((⩒∊≴∭⊉3064)⨪↰⇹(≴∭⊉6524⫢⨠≴∭⊉32402))≁(≴∭⊉22500⇄≴∭⊉31102∲⫓(∟⋨≴∭⊉3651))⊋((≴∭⊉10223≴⪞⇿≴∭⊉5561⨒(≴∭⊉34550⊫∞))⇐≅)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":28414,"operation_count":12,"complexity_ratio":2367.8333333333335,"tree":{"type":"binary","operator":"⊋","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"numeric_atoms","value":1075,"base":7}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":2321,"base":7},"right_expr":{"type":"numeric_atoms","value":8087,"base":7}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":5733,"base":7},"right_expr":{"type":"numeric_atoms","value":7597,"base":7}},"right_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"numeric_atoms","value":1359,"base":7}}}},"right_expr":{"type":"unary","operator":"⇐≅","unary_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":2516,"base":7},"right_expr":{"type":"numeric_atoms","value":2003,"base":7}},"right_expr":{"type":"unary","operator":"⊫∞","unary_expr":{"type":"numeric_atoms","value":8855,"base":7}}}}},"used_operators":["W4tP9CfskL","8N2wDY1A35","tmPS8pqC7x","qazvmhNBbN","xlXykHWxX1","i8ToyICDmI","3EYGwJThht","ctOc4cKSDt","wEfv7U73WA","y75s1iXyHd","lvlrscuwVU","pABnYW3G3E"],"dependent_operators":["2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","rJVOvQCfKK","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","eLAdDNolq6","tmPS8pqC7x","9FxExcQeMw","t8gj7n24qd","Ph9nP6C5qx","i8ToyICDmI","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","fu6greOZ01","3sJ7IOPOlU","7YooWSwCyH","ivGwdmUAux"],"result":"≴∭⊉-61324","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1075","layer":4},{"info":"compute unary expreesion, input=1075, op_id = qazvmhNBbN, unary_op_definition = '���∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=1393","layer":3},{"info":"number node, value=2321","layer":4},{"info":"number node, value=8087","layer":4},{"info":"compute binary expreesion, left_input=2321, right_input=8087, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=1393, right_input=160, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1393","layer":2},{"info":"number node, value=5733","layer":4},{"info":"number node, value=7597","layer":4},{"info":"compute binary expreesion, left_input=5733, right_input=7597, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"number node, value=1359","layer":4},{"info":"compute unary expreesion, input=1359, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-875","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-875, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=1393, right_input=0, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=-8941","layer":1},{"info":"number node, value=2516","layer":4},{"info":"number node, value=2003","layer":4},{"info":"compute binary expreesion, left_input=2516, right_input=2003, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=10062332","layer":3},{"info":"number node, value=8855","layer":4},{"info":"compute unary expreesion, input=8855, op_id = pABnYW3G3E, unary_op_definition = 'a⊫∞ = { ((a⨐⩸⫘149)⪇≇⋚(a∪⫐a)) , if (⫵↿a)>=80 ; a , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=10062332, right_input=0, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = wEfv7U73WA, unary_op_definition = 'a⇐≅ = { ((a⩷∴(a∲⫓a))≧⫂∧(-a)) }', output=-473","layer":1},{"info":"compute binary expreesion, left_input=-8941, right_input=-473, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=-14914","layer":0}],"base":7,"result_base":7,"text":"((⩒∊≴∭⊉3064)⨪↰⇹(≴∭⊉6524⫢⨠≴∭⊉32402))≁(≴∭⊉22500⇄≴∭⊉31102∲⫓(∟⋨≴∭⊉3651))⊋((≴∭⊉10223≴⪞⇿≴∭⊉5561⨒(≴∭⊉34550⊫∞))⇐≅)=≴∭⊉-61324","reverse_text":"≴∭⊉-61324=((⩒∊≴∭⊉3064)⨪↰⇹(≴∭⊉6524⫢⨠≴∭⊉32402))≁(≴∭⊉22500⇄≴∭⊉31102∲⫓(∟⋨≴∭⊉3651))⊋((≴∭⊉10223≴⪞⇿≴∭⊉5561⨒(≴∭⊉34550⊫∞))⇐≅)","cot":[{"info":"⩒∊≴∭⊉3064=≴∭⊉4030","layer":3},{"info":"≴∭⊉6524⫢⨠≴∭⊉32402=≴∭⊉316","layer":3},{"info":"≴∭⊉4030⨪↰⇹≴∭⊉316=≴∭⊉4030","layer":2},{"info":"≴∭⊉22500⇄≴∭⊉31102=≴∭⊉0","layer":3},{"info":"∟⋨≴∭⊉3651=≴∭⊉-2360","layer":3},{"info":"≴∭⊉0∲⫓≴∭⊉-2360=≴∭⊉0","layer":2},{"info":"≴∭⊉4030≁≴∭⊉0=≴∭⊉-35032","layer":1},{"info":"≴∭⊉10223≴⪞⇿≴∭⊉5561=≴∭⊉151346150","layer":3},{"info":"≴∭⊉34550⊫∞=≴∭⊉0","layer":3},{"info":"≴∭⊉151346150⨒≴∭⊉0=≴∭⊉0","layer":2},{"info":"≴∭⊉0⇐≅=≴∭⊉-1244","layer":1},{"info":"≴∭⊉-35032⊋≴∭⊉-1244=≴∭⊉-61324","layer":0}]}
+{"id":529,"expression_no_base_symbol":"(((∓$1681$)⊜)⪁(≑⋹($3471$∌↝$6140$)))⫰⋱(∡(⇙⪊(≤/$2719$)))","expression":"(((∓≴∭⊉4621)⊜)⪁(≑⋹(≴∭⊉13056∌↝≴∭⊉23621)))⫰⋱(∡(⇙⪊(≤/≴∭⊉10633)))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":532422,"operation_count":9,"complexity_ratio":59158.0,"tree":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"unary","operator":"⊜","unary_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"numeric_atoms","value":1681,"base":7}}},"right_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":3471,"base":7},"right_expr":{"type":"numeric_atoms","value":6140,"base":7}}}},"right_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":2719,"base":7}}}}},"used_operators":["6o9Blt3TJ6","I7sXao9hZE","Eev2Q7dYIw","OwUj7dcsQK","6B9nyZLogK","9Isq31Ruls","pRsWfj4Fpp","pB6Fcnrjim","eLAdDNolq6"],"dependent_operators":["W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","g55IO6H4Gj","D4vGDi5EA2","P8v4zCKN1o","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1681","layer":4},{"info":"compute unary expreesion, input=1681, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-30087","layer":3},{"info":"compute unary expreesion, input=-30087, op_id = Eev2Q7dYIw, unary_op_definition = 'a⊜ = { ((a≦≮≮)⨸⪁(∥⊫a)) }', output=180412","layer":2},{"info":"number node, value=3471","layer":4},{"info":"number node, value=6140","layer":4},{"info":"compute binary expreesion, left_input=3471, right_input=6140, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=-694","layer":2},{"info":"compute binary expreesion, left_input=180412, right_input=-694, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":1},{"info":"number node, value=2719","layer":4},{"info":"compute unary expreesion, input=2719, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-2235","layer":3},{"info":"compute unary expreesion, input=-2235, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(((∓≴∭⊉4621)⊜)⪁(≑⋹(≴∭⊉13056∌↝≴∭⊉23621)))⫰⋱(∡(⇙⪊(≤/≴∭⊉10633)))=NaN","reverse_text":"NaN=(((∓≴∭⊉4621)⊜)⪁(≑⋹(≴∭⊉13056∌↝≴∭⊉23621)))⫰⋱(∡(⇙⪊(≤/≴∭⊉10633)))","cot":[{"info":"∓≴∭⊉4621=≴∭⊉-153501","layer":3},{"info":"≴∭⊉-153501⊜=≴∭⊉1350661","layer":2},{"info":"≴∭⊉13056∌↝≴∭⊉23621=≴∭⊉0","layer":3},{"info":"≑⋹≴∭⊉0=≴∭⊉-2011","layer":2},{"info":"≴∭⊉1350661⪁≴∭⊉-2011=NaN","layer":1},{"info":"≤/≴∭⊉10633=≴∭⊉-6342","layer":3},{"info":"⇙⪊≴∭⊉-6342=≴∭⊉0","layer":2},{"info":"∡≴∭⊉0=≴∭⊉0","layer":1},{"info":"NaN⫰⋱≴∭⊉0=NaN","layer":0}]}
+{"id":530,"expression_no_base_symbol":"(∂(⊁⨺$3918$))↞⋁($4380$⨔⇊$7405$∽$5578$∳⫺$2491$)⩁⩘((⪡⇡≛($1711$⩷∴$4820$))≬⋮((⋃$3173$)⇡))","expression":"(∂(⊁⨺≴∭⊉14265))↞⋁(≴∭⊉15525⨔⇊≴∭⊉30406∽≴∭⊉22156∳⫺≴∭⊉10156)⩁⩘((⪡⇡≛(≴∭⊉4663⩷∴≴∭⊉20024))≬⋮((⋃≴∭⊉12152)⇡))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":644,"operation_count":12,"complexity_ratio":53.666666666666664,"tree":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"numeric_atoms","value":3918,"base":7}}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":4380,"base":7},"right_expr":{"type":"numeric_atoms","value":7405,"base":7}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":5578,"base":7},"right_expr":{"type":"numeric_atoms","value":2491,"base":7}}}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1711,"base":7},"right_expr":{"type":"numeric_atoms","value":4820,"base":7}}},"right_expr":{"type":"unary","operator":"⇡","unary_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"numeric_atoms","value":3173,"base":7}}}}},"used_operators":["gub5Cegaqo","RqrPlJkxDo","Uaa54Peajs","PxiHyQbrIp","y4ImoPnbV5","JclMnS0uGI","AzXXKTstlj","kbkesczE7y","qL4PrbW1Dq","9FxExcQeMw","UqFzSgLMvQ","3mBM5G4a3l"],"dependent_operators":["DpFCA1CohY","IWmyXbctLI","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","NTOWxs364D","QMFrweE19q","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","rysDP5nf3Z","3sJ7IOPOlU","sJAwomhLZr","4JB6nKBMSY","k2HlF1dBQh","BiWNJpBvwn","YSKBFp38Pu","g55IO6H4Gj"],"result":"≴∭⊉15613","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3918","layer":4},{"info":"compute unary expreesion, input=3918, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=-424","layer":2},{"info":"number node, value=4380","layer":4},{"info":"number node, value=7405","layer":4},{"info":"compute binary expreesion, left_input=4380, right_input=7405, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=7405","layer":3},{"info":"number node, value=5578","layer":4},{"info":"number node, value=2491","layer":4},{"info":"compute binary expreesion, left_input=5578, right_input=2491, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":3},{"info":"compute binary expreesion, left_input=7405, right_input=-260, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-36067","layer":2},{"info":"compute binary expreesion, left_input=-424, right_input=-36067, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=-424","layer":1},{"info":"number node, value=1711","layer":4},{"info":"number node, value=4820","layer":4},{"info":"compute binary expreesion, left_input=1711, right_input=4820, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-6250","layer":3},{"info":"compute unary expreesion, input=-6250, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-6250","layer":2},{"info":"number node, value=3173","layer":4},{"info":"compute unary expreesion, input=3173, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=6448","layer":3},{"info":"compute unary expreesion, input=6448, op_id = UqFzSgLMvQ, unary_op_definition = 'a⇡ = { (((a⇴a)⪇≇⋚(∤27))⇤((a⩍⋽⫝̸27)⩠)) }', output=-2917","layer":2},{"info":"compute binary expreesion, left_input=-6250, right_input=-2917, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":1},{"info":"compute binary expreesion, left_input=-424, right_input=868, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=4420","layer":0}],"base":7,"result_base":7,"text":"(∂(⊁⨺≴∭⊉14265))↞⋁(≴∭⊉15525⨔⇊≴∭⊉30406∽≴∭⊉22156∳⫺≴∭⊉10156)⩁⩘((⪡⇡≛(≴∭⊉4663⩷∴≴∭⊉20024))≬⋮((⋃≴∭⊉12152)⇡))=≴∭⊉15613","reverse_text":"≴∭⊉15613=(∂(⊁⨺≴∭⊉14265))↞⋁(≴∭⊉15525⨔⇊≴∭⊉30406∽≴∭⊉22156∳⫺≴∭⊉10156)⩁⩘((⪡⇡≛(≴∭⊉4663⩷∴≴∭⊉20024))≬⋮((⋃≴∭⊉12152)⇡))","cot":[{"info":"⊁⨺≴∭⊉14265=≴∭⊉316","layer":3},{"info":"∂≴∭⊉316=≴∭⊉-1144","layer":2},{"info":"≴∭⊉15525⨔⇊≴∭⊉30406=≴∭⊉30406","layer":3},{"info":"≴∭⊉22156∳⫺≴∭⊉10156=≴∭⊉-521","layer":3},{"info":"≴∭⊉30406∽≴∭⊉-521=≴∭⊉-210103","layer":2},{"info":"≴∭⊉-1144↞⋁≴∭⊉-210103=≴∭⊉-1144","layer":1},{"info":"≴∭⊉4663⩷∴≴∭⊉20024=≴∭⊉-24136","layer":3},{"info":"⪡⇡≛≴∭⊉-24136=≴∭⊉-24136","layer":2},{"info":"⋃≴∭⊉12152=≴∭⊉24541","layer":3},{"info":"≴∭⊉24541⇡=≴∭⊉-11335","layer":2},{"info":"≴∭⊉-24136≬⋮≴∭⊉-11335=≴∭⊉2350","layer":1},{"info":"≴∭⊉-1144⩁⩘≴∭⊉2350=≴∭⊉15613","layer":0}]}
+{"id":531,"expression_no_base_symbol":"($5580$⪝$2034$∽(⩩$4921$))↳∿⪆(⪝⪂⫅($7375$⨑≵⋬$2659$))≹⇙⪍(($1279$⋅⇍$2244$)⨽∌($9472$≀⫉$1559$))⊕∕(($1158$∕⩚$1128$)⊬⨰($1446$≠≀$5704$))","expression":"(≴∭⊉22161⪝≴∭⊉5634∽(⩩≴∭⊉20230))↳∿⪆(⪝⪂⫅(≴∭⊉30334⨑≵⋬≴∭⊉10516))≹⇙⪍((≴∭⊉3505⋅⇍���∭⊉6354)⨽∌(≴∭⊉36421≀⫉≴∭⊉4355))⊕∕((≴∭⊉3243∕⩚≴∭⊉3201)⊬⨰(≴∭⊉4134≠≀≴∭⊉22426))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":66839,"operation_count":14,"complexity_ratio":4774.214285714285,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":5580,"base":7},"right_expr":{"type":"numeric_atoms","value":2034,"base":7}},"right_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"numeric_atoms","value":4921,"base":7}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":7375,"base":7},"right_expr":{"type":"numeric_atoms","value":2659,"base":7}}}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":1279,"base":7},"right_expr":{"type":"numeric_atoms","value":2244,"base":7}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":9472,"base":7},"right_expr":{"type":"numeric_atoms","value":1559,"base":7}}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":1158,"base":7},"right_expr":{"type":"numeric_atoms","value":1128,"base":7}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":1446,"base":7},"right_expr":{"type":"numeric_atoms","value":5704,"base":7}}}}},"used_operators":["AHs5Up7iyr","Cw4SuJJGHO","y4ImoPnbV5","wicAB68Tmb","kMhfGuqI2H","XTarYq4gQB","XnXgA4xnOs","9cloC0Ngie","9samAPKr6k","AdZkA7nFnk","oZj3VtZNQx","s3Fd5m9Dh2","z9ffQ9n5Zr","IwW236VD4Y"],"dependent_operators":["dWAJyo7jo9","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","NTOWxs364D","QMFrweE19q","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","9HNa5Wba9A","8w2t5hMYqp","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5580","layer":4},{"info":"number node, value=2034","layer":4},{"info":"compute binary expreesion, left_input=5580, right_input=2034, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-14583","layer":3},{"info":"number node, value=4921","layer":4},{"info":"compute unary expreesion, input=4921, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-14583, right_input=nan, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=nan","layer":2},{"info":"number node, value=7375","layer":4},{"info":"number node, value=2659","layer":4},{"info":"compute binary expreesion, left_input=7375, right_input=2659, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=19641","layer":3},{"info":"compute unary expreesion, input=19641, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-2887227","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-2887227, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":1},{"info":"number node, value=1279","layer":4},{"info":"number node, value=2244","layer":4},{"info":"compute binary expreesion, left_input=1279, right_input=2244, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"number node, value=9472","layer":4},{"info":"number node, value=1559","layer":4},{"info":"compute binary expreesion, left_input=9472, right_input=1559, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=2822, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":2},{"info":"number node, value=1158","layer":4},{"info":"number node, value=1128","layer":4},{"info":"compute binary expreesion, left_input=1158, right_input=1128, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-1161","layer":3},{"info":"number node, value=1446","layer":4},{"info":"number node, value=5704","layer":4},{"info":"compute binary expreesion, left_input=1446, right_input=5704, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-2586","layer":3},{"info":"compute binary expreesion, left_input=-1161, right_input=-2586, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=-12666","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-12666, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉22161⪝≴∭⊉5634∽(⩩≴∭⊉20230))↳∿⪆(⪝⪂⫅(≴∭⊉30334⨑≵⋬≴∭⊉10516))≹⇙⪍((≴∭⊉3505⋅⇍≴∭⊉6354)⨽∌(≴∭⊉36421≀⫉≴∭⊉4355))⊕∕((≴∭⊉3243∕⩚≴∭⊉3201)⊬⨰(≴∭⊉4134≠≀≴∭⊉22426))=NaN","reverse_text":"NaN=(≴∭⊉22161⪝≴∭⊉5634∽(⩩≴∭⊉20230))↳∿⪆(⪝⪂⫅(≴∭⊉30334⨑≵⋬≴∭⊉10516))≹⇙⪍((≴∭⊉3505⋅⇍≴∭⊉6354)⨽∌(≴∭⊉36421≀⫉≴∭⊉4355))⊕∕((≴∭⊉3243∕⩚≴∭⊉3201)⊬⨰(≴∭⊉4134≠≀≴∭⊉22426))","cot":[{"info":"≴∭⊉22161⪝≴∭⊉5634=≴∭⊉-60342","layer":3},{"info":"⩩≴∭⊉20230=NaN","layer":3},{"info":"≴∭⊉-60342∽NaN=NaN","layer":2},{"info":"≴∭⊉30334⨑≵⋬≴∭⊉10516=≴∭⊉111156","layer":3},{"info":"⪝⪂⫅≴∭⊉111156=≴∭⊉-33353400","layer":2},{"info":"NaN↳∿⪆≴∭⊉-33353400=NaN","layer":1},{"info":"≴∭⊉3505⋅⇍≴∭⊉6354=≴∭⊉-31","layer":3},{"info":"≴∭⊉36421≀⫉≴∭⊉4355=≴∭⊉11141","layer":3},{"info":"≴∭⊉-31⨽∌≴∭⊉11141=≴∭⊉0","layer":2},{"info":"≴∭⊉3243∕⩚≴∭⊉3201=≴∭⊉-3246","layer":3},{"info":"≴∭⊉4134≠≀≴∭⊉22426=≴∭⊉-10353","layer":3},{"info":"≴∭⊉-3246⊬⨰≴∭⊉-10353=≴∭⊉-51633","layer":2},{"info":"≴∭⊉0⊕∕≴∭⊉-51633=≴∭⊉0","layer":1},{"info":"NaN≹⇙⪍≴∭⊉0=NaN","layer":0}]}
+{"id":532,"expression_no_base_symbol":"↥≼⋛(($7504$⩧⪆$1202$)⊔($2074$⪔$7454$)-(⊗$1650$)⨪↰⇹($2821$↦))","expression":"↥≼⋛((≴∭⊉30610⩧⪆≴∭⊉3335)⊔(≴∭⊉6022⪔≴∭⊉30506)-(⊗≴∭⊉4545)⨪↰⇹(≴∭⊉11140↦))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":239393,"operation_count":8,"complexity_ratio":29924.125,"tree":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":7504,"base":7},"right_expr":{"type":"numeric_atoms","value":1202,"base":7}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":2074,"base":7},"right_expr":{"type":"numeric_atoms","value":7454,"base":7}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"numeric_atoms","value":1650,"base":7}},"right_expr":{"type":"unary","operator":"↦","unary_expr":{"type":"numeric_atoms","value":2821,"base":7}}}}},"used_operators":["x5lMkHmzsq","rysDP5nf3Z","E4l6HwMY31","Ikt5ks8PT7","GjBEYRfMaF","tmPS8pqC7x","RhiyfpczSx","fFznvYxMfW"],"dependent_operators":["eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","eewbuw0ToL","t8gj7n24qd","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","rJVOvQCfKK","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","L05ObWFQCd","d7ASUq0ydm","inkyxCbjAn","9HNa5Wba9A","AHs5Up7iyr","xRrnTEsQ6j","vkpjKywKVM","Z5m6OM72h2","eewbuw0ToL","uWAJUKEvyW"],"result":"≴∭⊉-221","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=7504","layer":4},{"info":"number node, value=1202","layer":4},{"info":"compute binary expreesion, left_input=7504, right_input=1202, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-1202","layer":3},{"info":"number node, value=2074","layer":4},{"info":"number node, value=7454","layer":4},{"info":"compute binary expreesion, left_input=2074, right_input=7454, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"compute binary expreesion, left_input=-1202, right_input=450, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=4448","layer":2},{"info":"number node, value=1650","layer":4},{"info":"compute unary expreesion, input=1650, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-3300","layer":3},{"info":"number node, value=2821","layer":4},{"info":"compute unary expreesion, input=2821, op_id = fFznvYxMfW, unary_op_definition = 'a↦ = { (((a⊹∫⫚a)*177)⊹∫⫚((579⨰53)⪍↜⋙a)) , if a<72 ; ((⇁⨣⪵(a⫯⪬∳a))⫁⪎((a∘a)≹⇙⪍(a⇮⋭a))) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-3300, right_input=nan, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=-3300","layer":2},{"info":"compute binary expreesion, left_input=4448, right_input=-3300, op_id = rysDP5nf3Z binary_op_definition= 'None', output=7748","layer":1},{"info":"compute unary expreesion, input=7748, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-113","layer":0}],"base":7,"result_base":7,"text":"↥≼⋛((≴∭⊉30610⩧⪆≴∭⊉3335)⊔(≴∭⊉6022⪔≴∭⊉30506)-(⊗≴∭⊉4545)⨪↰⇹(≴∭⊉11140↦))=≴∭⊉-221","reverse_text":"≴∭⊉-221=↥≼⋛((≴∭⊉30610⩧⪆≴∭⊉3335)⊔(≴∭⊉6022⪔≴∭⊉30506)-(⊗≴∭⊉4545)⨪↰⇹(≴∭⊉11140↦))","cot":[{"info":"≴∭⊉30610⩧⪆≴∭⊉3335=≴∭⊉-3335","layer":3},{"info":"≴∭⊉6022⪔≴∭⊉30506=≴∭⊉1212","layer":3},{"info":"≴∭⊉-3335⊔≴∭⊉1212=≴∭⊉15653","layer":2},{"info":"⊗≴∭⊉4545=≴∭⊉-12423","layer":3},{"info":"≴∭⊉11140↦=NaN","layer":3},{"info":"≴∭⊉-12423⨪↰⇹NaN=≴∭⊉-12423","layer":2},{"info":"≴∭⊉15653-≴∭⊉-12423=≴∭⊉31406","layer":1},{"info":"↥≼⋛≴∭⊉31406=≴∭⊉-221","layer":0}]}
+{"id":533,"expression_no_base_symbol":"((⨣⨃⇪$2451$)⨼⩣($4657$⪶≀⋏$3835$))⪟⇏((⇠$3226$)⊋(≋$1083$))∴(($1474$⪎↠$6511$⩁⩘($7627$∑⇟⊟$4977$))⨼⩣(⇐($2196$⊢)))","expression":"((⨣⨃⇪≴∭⊉10101)⨼⩣(≴∭⊉16402⪶≀⋏≴∭⊉14116))⪟⇏((⇠≴∭⊉12256)⊋(≋≴∭⊉3105))∴((≴∭⊉4204⪎↠≴∭⊉24661⩁⩘(≴∭⊉31144∑⇟⊟≴∭⊉20340))⨼⩣(⇐(≴∭⊉6255⊢)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":85562,"operation_count":14,"complexity_ratio":6111.571428571428,"tree":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"numeric_atoms","value":2451,"base":7}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":4657,"base":7},"right_expr":{"type":"numeric_atoms","value":3835,"base":7}}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"numeric_atoms","value":3226,"base":7}},"right_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"numeric_atoms","value":1083,"base":7}}}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":1474,"base":7},"right_expr":{"type":"numeric_atoms","value":6511,"base":7}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":7627,"base":7},"right_expr":{"type":"numeric_atoms","value":4977,"base":7}}},"right_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"unary","operator":"⊢","unary_expr":{"type":"numeric_atoms","value":2196,"base":7}}}}},"used_operators":["hrf7POJlIJ","GODebY97qR","JxwMv5le6e","AcOhelriW5","zR4jO40bMj","W4tP9CfskL","18saOjeKKm","61wBmkZwlr","gub5Cegaqo","3tVxb0NHM4","U7g4x0WXJJ","nmZMaaE0Q9","40aOVDgCDB"],"dependent_operators":["g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","7j4O788W3g","DpFCA1CohY","IWmyXbctLI","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","NTOWxs364D"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2451","layer":4},{"info":"compute unary expreesion, input=2451, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":3},{"info":"number node, value=4657","layer":4},{"info":"number node, value=3835","layer":4},{"info":"compute binary expreesion, left_input=4657, right_input=3835, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-21873","layer":3},{"info":"compute binary expreesion, left_input=1405, right_input=-21873, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":2},{"info":"number node, value=3226","layer":4},{"info":"compute unary expreesion, input=3226, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-2984","layer":3},{"info":"number node, value=1083","layer":4},{"info":"compute unary expreesion, input=1083, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=1083","layer":3},{"info":"compute binary expreesion, left_input=-2984, right_input=1083, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=-32304560","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-32304560, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=nan","layer":1},{"info":"number node, value=1474","layer":4},{"info":"number node, value=6511","layer":4},{"info":"compute binary expreesion, left_input=1474, right_input=6511, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"number node, value=7627","layer":4},{"info":"number node, value=4977","layer":4},{"info":"compute binary expreesion, left_input=7627, right_input=4977, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=nan","layer":2},{"info":"number node, value=2196","layer":4},{"info":"compute unary expreesion, input=2196, op_id = 40aOVDgCDB, unary_op_definition = 'a⊢ = { a , if a<=675 ; (a⩚⊴⇥126) , else }', output=-2443","layer":3},{"info":"compute unary expreesion, input=-2443, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=-5016","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-5016, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((⨣⨃⇪≴∭⊉10101)⨼⩣(≴∭⊉16402⪶≀⋏≴∭⊉14116))⪟⇏((⇠≴∭⊉12256)⊋(≋≴∭⊉3105))∴((≴∭⊉4204⪎↠≴∭⊉24661⩁⩘(≴∭⊉31144∑⇟⊟≴∭⊉20340))⨼⩣(⇐(≴∭⊉6255⊢)))=NaN","reverse_text":"NaN=((⨣⨃⇪≴∭⊉10101)⨼⩣(≴∭⊉16402⪶≀⋏≴∭⊉14116))⪟⇏((⇠≴∭⊉12256)⊋(≋≴∭⊉3105))∴((≴∭⊉4204⪎↠≴∭⊉24661⩁⩘(≴∭⊉31144∑⇟⊟≴∭⊉20340))⨼⩣(⇐(≴∭⊉6255⊢)))","cot":[{"info":"⨣⨃⇪≴∭⊉10101=≴∭⊉4045","layer":3},{"info":"≴∭⊉16402⪶≀⋏≴∭⊉14116=≴∭⊉-120525","layer":3},{"info":"≴∭⊉4045⨼⩣≴∭⊉-120525=NaN","layer":2},{"info":"⇠≴∭⊉12256=≴∭⊉-11462","layer":3},{"info":"≋≴∭⊉3105=≴∭⊉3105","layer":3},{"info":"≴∭⊉-11462⊋≴∭⊉3105=≴∭⊉-541404251","layer":2},{"info":"NaN⪟⇏≴∭⊉-541404251=NaN","layer":1},{"info":"≴∭⊉4204⪎↠≴∭⊉24661=≴∭⊉316","layer":3},{"info":"≴∭⊉31144∑⇟⊟≴∭⊉20340=NaN","layer":3},{"info":"≴∭⊉316⩁⩘NaN=NaN","layer":2},{"info":"≴∭⊉6255⊢=≴∭⊉-10060","layer":3},{"info":"⇐≴∭⊉-10060=≴∭⊉-20424","layer":2},{"info":"NaN⨼⩣≴∭⊉-20424=NaN","layer":1},{"info":"NaN∴NaN=NaN","layer":0}]}
+{"id":534,"expression_no_base_symbol":"(($2167$⪛⫼$1271$)⨀⨒)≴⪞⇿((↘$3900$)∽(⨛$9518$))↬⩅∪","expression":"((≴∭⊉6214⪛⫼≴∭⊉3464)⨀⨒)≴⪞⇿((↘≴∭⊉14241)∽(⨛≴∭⊉36515))↬⩅∪","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":10288,"operation_count":7,"complexity_ratio":1469.7142857142858,"tree":{"type":"unary","operator":"↬⩅∪","unary_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"unary","operator":"⨀⨒","unary_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":2167,"base":7},"right_expr":{"type":"numeric_atoms","value":1271,"base":7}}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"numeric_atoms","value":3900,"base":7}},"right_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"numeric_atoms","value":9518,"base":7}}}}},"used_operators":["VJ330n2nnx","lvlrscuwVU","j6NVkjMzuk","hyuBjUqXlG","y4ImoPnbV5","LdNpr8hQHL","CoMdbyAt7R"],"dependent_operators":["D4vGDi5EA2","23Mk6UjR3U","u6S6b8DprG","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","E4l6HwMY31","Ikt5ks8PT7","HmxsFra2vL","oacrs7FA3X","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","NTOWxs364D","QMFrweE19q","uFcxV4UQCh","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl"],"result":"≴∭⊉-20621101461","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2167","layer":4},{"info":"number node, value=1271","layer":4},{"info":"compute binary expreesion, left_input=2167, right_input=1271, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":3},{"info":"compute unary expreesion, input=968, op_id = j6NVkjMzuk, unary_op_definition = 'a⨀⨒ = { ((a⪘⫢a)⊔(a⪘⫢a)) , if a!=184 ; ((a⩧⪆a)∙∹∝a) , else }', output=10284","layer":2},{"info":"number node, value=3900","layer":4},{"info":"compute unary expreesion, input=3900, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=372","layer":3},{"info":"number node, value=9518","layer":4},{"info":"compute unary expreesion, input=9518, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=372, right_input=nan, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=10284, right_input=nan, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=200440476","layer":1},{"info":"compute unary expreesion, input=200440476, op_id = VJ330n2nnx, unary_op_definition = 'a↬⩅∪ = { (a≦≮≮) , if (↽≂a)!=185 or a>=376 or a<=585 ; (a⋷a) , else }', output=-601321428","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉6214⪛⫼≴∭⊉3464)⨀⨒)≴⪞⇿((↘≴∭⊉14241)∽(⨛≴∭⊉36515))↬⩅∪=≴∭⊉-20621101461","reverse_text":"≴∭⊉-20621101461=((≴∭⊉6214⪛⫼≴∭⊉3464)⨀⨒)≴⪞⇿((↘≴∭⊉14241)∽(⨛≴∭⊉36515))↬⩅∪","cot":[{"info":"≴∭⊉6214⪛⫼≴∭⊉3464=≴∭⊉2552","layer":3},{"info":"≴∭⊉2552⨀⨒=≴∭⊉41661","layer":2},{"info":"↘≴∭⊉14241=≴∭⊉1041","layer":3},{"info":"⨛≴∭⊉36515=NaN","layer":3},{"info":"≴∭⊉1041∽NaN=NaN","layer":2},{"info":"≴∭⊉41661≴⪞⇿NaN=≴∭⊉4652500365","layer":1},{"info":"≴∭⊉4652500365↬⩅∪=≴∭⊉-20621101461","layer":0}]}
+{"id":535,"expression_no_base_symbol":"(⨛($6273$⫘$1038$⫳≱↱($3089$⇀∌)))⊲⩕⊾(($2914$≠≀$7760$)≴⪞⇿(↓⇌$3688$)⇌⫙⪟(⇵⪽($8458$⨓$1327$)))","expression":"(⨛(≴∭⊉24201⫘≴∭⊉3012⫳≱↱(≴∭⊉12002⇀∌)))⊲⩕⊾((≴∭⊉11332≠≀≴∭⊉31424)≴⪞⇿(↓⇌≴∭⊉13516)⇌⫙⪟(⇵⪽(≴∭⊉33442⨓≴∭⊉3604)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":10213,"operation_count":11,"complexity_ratio":928.4545454545455,"tree":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":6273,"base":7},"right_expr":{"type":"numeric_atoms","value":1038,"base":7}},"right_expr":{"type":"unary","operator":"⇀∌","unary_expr":{"type":"numeric_atoms","value":3089,"base":7}}}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":2914,"base":7},"right_expr":{"type":"numeric_atoms","value":7760,"base":7}},"right_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"numeric_atoms","value":3688,"base":7}}},"right_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":8458,"base":7},"right_expr":{"type":"numeric_atoms","value":1327,"base":7}}}}},"used_operators":["DmTXOeWf9t","CoMdbyAt7R","ZvLB05nZmT","48vC8HMD2b","2k53nXOpI5","AFVx7xoS7T","lvlrscuwVU","IwW236VD4Y","PxpmPgHHJV","ZGCBLdVRRX","3ViojmjbAp"],"dependent_operators":["23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","Q3PJZHRvZv","ddLRYrp01A","AcOhelriW5","7t3wd0Fuz7","3tVxb0NHM4","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","U7g4x0WXJJ","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6273","layer":4},{"info":"number node, value=1038","layer":4},{"info":"compute binary expreesion, left_input=6273, right_input=1038, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=7381453","layer":3},{"info":"number node, value=3089","layer":4},{"info":"compute unary expreesion, input=3089, op_id = 2k53nXOpI5, unary_op_definition = 'a⇀∌ = { ((a⪎↠(⨣⨃⇪a))⋥⋵⩄(a∊∟⩊(⊥a))) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=7381453, right_input=113, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-584","layer":2},{"info":"compute unary expreesion, input=-584, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=0","layer":1},{"info":"number node, value=2914","layer":4},{"info":"number node, value=7760","layer":4},{"info":"compute binary expreesion, left_input=2914, right_input=7760, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-5522","layer":3},{"info":"number node, value=3688","layer":4},{"info":"compute unary expreesion, input=3688, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=3688","layer":3},{"info":"compute binary expreesion, left_input=-5522, right_input=3688, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=-70764","layer":2},{"info":"number node, value=8458","layer":4},{"info":"number node, value=1327","layer":4},{"info":"compute binary expreesion, left_input=8458, right_input=1327, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1330","layer":3},{"info":"compute unary expreesion, input=-1330, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-70764, right_input=nan, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(⨛(≴∭⊉24201⫘≴∭⊉3012⫳≱↱(≴∭⊉12002⇀∌)))⊲⩕⊾((≴∭⊉11332≠≀≴∭⊉31424)≴⪞⇿(↓⇌≴∭⊉13516)⇌⫙⪟(⇵⪽(≴∭⊉33442⨓≴∭⊉3604)))=NaN","reverse_text":"NaN=(⨛(≴∭⊉24201⫘≴∭⊉3012⫳≱↱(≴∭⊉12002⇀∌)))⊲⩕⊾((≴∭⊉11332≠≀≴∭⊉31424)≴⪞⇿(↓⇌≴∭⊉13516)⇌⫙⪟(⇵⪽(≴∭⊉33442⨓≴∭⊉3604)))","cot":[{"info":"≴∭⊉24201⫘≴∭⊉3012=≴∭⊉116512162","layer":3},{"info":"≴∭⊉12002⇀∌=≴∭⊉221","layer":3},{"info":"≴∭⊉116512162⫳≱↱≴∭⊉221=≴∭⊉-1463","layer":2},{"info":"⨛≴∭⊉-1463=≴∭⊉0","layer":1},{"info":"≴∭⊉11332≠≀≴∭⊉31424=≴∭⊉-22046","layer":3},{"info":"↓⇌≴∭⊉13516=≴∭⊉13516","layer":3},{"info":"≴∭⊉-22046≴⪞⇿≴∭⊉13516=≴∭⊉-413211","layer":2},{"info":"≴∭⊉33442⨓≴∭⊉3604=≴∭⊉-3610","layer":3},{"info":"⇵⪽≴∭⊉-3610=NaN","layer":2},{"info":"≴∭⊉-413211⇌⫙⪟NaN=NaN","layer":1},{"info":"≴∭⊉0⊲⩕⊾NaN=NaN","layer":0}]}
+{"id":536,"expression_no_base_symbol":"($3011$≎⪠$7054$⩒⫫$2894$⊮⊟↴$4045$)⪬(∑⇻≧$1725$)⪬($4334$⫘$2629$)⊉≛↸((⨙⪌$9211$)⪭($7583$/$6431$))⪃⊛⇣(($3339$⇄$1513$)⨘⋶⪀)","expression":"(≴∭⊉11531≎⪠≴∭⊉26365⩒⫫≴∭⊉11303⊮⊟↴≴∭⊉14536)⪬(∑⇻≧≴∭⊉5013)⪬(≴∭⊉15431⫘≴∭⊉10444)⊉≛↸((⨙⪌≴∭⊉35566)⪭(≴∭⊉31052/≴∭⊉24515))⪃⊛⇣((≴∭⊉12510⇄≴∭⊉4261)⨘⋶⪀)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":26468,"operation_count":14,"complexity_ratio":1890.5714285714287,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":3011,"base":7},"right_expr":{"type":"numeric_atoms","value":7054,"base":7}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":2894,"base":7},"right_expr":{"type":"numeric_atoms","value":4045,"base":7}}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"numeric_atoms","value":1725,"base":7}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":4334,"base":7},"right_expr":{"type":"numeric_atoms","value":2629,"base":7}}}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"numeric_atoms","value":9211,"base":7}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":7583,"base":7},"right_expr":{"type":"numeric_atoms","value":6431,"base":7}}},"right_expr":{"type":"unary","operator":"⨘⋶⪀","unary_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":3339,"base":7},"right_expr":{"type":"numeric_atoms","value":1513,"base":7}}}}},"used_operators":["DZ8iAZOCBD","Ez1Nq5fNfI","KFSx94NKJn","aNhz54LH3e","QDVgd2eftb","l1M9WJ3V7u","48vC8HMD2b","rrgAzCduG9","j9kHMeSvPp","vEGLkm4Z2k","XhwjNDsVaA","XVKwrhznBb","3EYGwJThht"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","COABgblf1C","xUOZtlo3hN","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","rysDP5nf3Z","TpPTUOHfaN","FyVja0WsTP","UqFzSgLMvQ","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI"],"result":"≴∭⊉10124","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3011","layer":4},{"info":"number node, value=7054","layer":4},{"info":"compute binary expreesion, left_input=3011, right_input=7054, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"number node, value=2894","layer":4},{"info":"number node, value=4045","layer":4},{"info":"compute binary expreesion, left_input=2894, right_input=4045, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=19558, right_input=0, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=19256","layer":2},{"info":"number node, value=1725","layer":4},{"info":"compute unary expreesion, input=1725, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":3},{"info":"number node, value=4334","layer":4},{"info":"number node, value=2629","layer":4},{"info":"compute binary expreesion, left_input=4334, right_input=2629, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=5101189","layer":3},{"info":"compute binary expreesion, left_input=-852, right_input=5101189, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=19256, right_input=1234, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":1},{"info":"number node, value=9211","layer":4},{"info":"compute unary expreesion, input=9211, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":3},{"info":"number node, value=7583","layer":4},{"info":"number node, value=6431","layer":4},{"info":"compute binary expreesion, left_input=7583, right_input=6431, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=1, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":2},{"info":"number node, value=3339","layer":4},{"info":"number node, value=1513","layer":4},{"info":"compute binary expreesion, left_input=3339, right_input=1513, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = XVKwrhznBb, unary_op_definition = 'a⨘⋶⪀ = { ((326+⇶⊼a)⊱⇼⊻(a⇡)) }', output=2802","layer":2},{"info":"compute binary expreesion, left_input=5, right_input=2802, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=1234, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2468","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉11531≎⪠≴∭⊉26365⩒⫫≴∭⊉11303⊮⊟↴≴∭⊉14536)⪬(∑⇻≧≴∭⊉5013)⪬(≴∭⊉15431⫘≴∭⊉10444)⊉≛↸((⨙⪌≴∭⊉35566)⪭(≴∭⊉31052/≴∭⊉24515))⪃⊛⇣((≴∭⊉12510⇄≴∭⊉4261)⨘⋶⪀)=≴∭⊉10124","reverse_text":"≴∭⊉10124=(≴∭⊉11531≎⪠≴∭⊉26365⩒⫫≴∭⊉11303⊮⊟↴≴∭⊉14536)⪬(∑⇻≧≴∭⊉5013)⪬(≴∭⊉15431⫘≴∭⊉10444)⊉≛↸((⨙⪌≴∭⊉35566)⪭(≴∭⊉31052/≴∭⊉24515))⪃⊛⇣((≴∭⊉12510⇄≴∭⊉4261)⨘⋶⪀)","cot":[{"info":"≴∭⊉11531≎⪠≴∭⊉26365=≴∭⊉111010","layer":3},{"info":"≴∭⊉11303⊮⊟↴≴∭⊉14536=≴∭⊉0","layer":3},{"info":"≴∭⊉111010⩒⫫≴∭⊉0=≴∭⊉110066","layer":2},{"info":"∑⇻≧≴∭⊉5013=≴∭⊉-2325","layer":3},{"info":"≴∭⊉15431⫘≴∭⊉10444=≴∭⊉61234162","layer":3},{"info":"≴∭⊉-2325⪬≴∭⊉61234162=≴∭⊉3412","layer":2},{"info":"≴∭⊉110066⪬≴∭⊉3412=≴∭⊉3412","layer":1},{"info":"⨙⪌≴∭⊉35566=≴∭⊉2350","layer":3},{"info":"≴∭⊉31052/≴∭⊉24515=≴∭⊉1","layer":3},{"info":"≴∭⊉2350⪭≴∭⊉1=≴∭⊉5","layer":2},{"info":"≴∭⊉12510⇄≴∭⊉4261=≴∭⊉0","layer":3},{"info":"≴∭⊉0⨘⋶⪀=≴∭⊉11112","layer":2},{"info":"≴∭⊉5⪃⊛⇣≴∭⊉11112=≴∭⊉3412","layer":1},{"info":"≴∭⊉3412⊉≛↸≴∭⊉3412=≴∭⊉10124","layer":0}]}
+{"id":537,"expression_no_base_symbol":"(($2031$⫳≱↱$1474$)⋕⪉⪜(⊀$3983$))⪬(($2467$≋⫹)⊧↖)∴(($1843$∛$1380$∙∹∝($5993$⫍⨯↯))⋫)","expression":"((≴∭⊉5631⫳≱↱≴∭⊉4204)⋕⪉⪜(⊀≴∭⊉14420))⪬((≴∭⊉10123≋⫹)⊧↖)∴((≴∭⊉5242∛≴∭⊉4011∙∹∝(≴∭⊉23321⫍⨯↯))⋫)","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":6001,"operation_count":11,"complexity_ratio":545.5454545454545,"tree":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":2031,"base":7},"right_expr":{"type":"numeric_atoms","value":1474,"base":7}},"right_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"numeric_atoms","value":3983,"base":7}}},"right_expr":{"type":"unary","operator":"⊧↖","unary_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":2467,"base":7}}}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":1843,"base":7},"right_expr":{"type":"numeric_atoms","value":1380,"base":7}},"right_expr":{"type":"unary","operator":"⫍⨯↯","unary_expr":{"type":"numeric_atoms","value":5993,"base":7}}}}},"used_operators":["hrf7POJlIJ","Ez1Nq5fNfI","z6LnFrNh4i","ZvLB05nZmT","oPMjh9089D","EKiFHuOFxO","N41Kp7NANJ","JL8yIekQnl","HmxsFra2vL","w2537kitQq","ZcwmYACASQ"],"dependent_operators":["g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","5twsqlHp2o","dfKe02y8D2","8HhzD0ZcuI","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","23Mk6UjR3U","2DDjHMKMc0","Qy55tPpLXF"],"result":"≴∭⊉15000","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2031","layer":4},{"info":"number node, value=1474","layer":4},{"info":"compute binary expreesion, left_input=2031, right_input=1474, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼���(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"number node, value=3983","layer":4},{"info":"compute unary expreesion, input=3983, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=15670","layer":3},{"info":"compute binary expreesion, left_input=-204, right_input=15670, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":2},{"info":"number node, value=2467","layer":4},{"info":"compute unary expreesion, input=2467, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-4934","layer":3},{"info":"compute unary expreesion, input=-4934, op_id = EKiFHuOFxO, unary_op_definition = 'a⊧↖ = { ((a⨽a)⊢(a⫚↹⊑79)) }', output=146033660","layer":2},{"info":"compute binary expreesion, left_input=204, right_input=146033660, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":1},{"info":"number node, value=1843","layer":4},{"info":"number node, value=1380","layer":4},{"info":"compute binary expreesion, left_input=1843, right_input=1380, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":3},{"info":"number node, value=5993","layer":4},{"info":"compute unary expreesion, input=5993, op_id = ZcwmYACASQ, unary_op_definition = 'a⫍⨯↯ = { ((a⋥≓≎a)⋷(a⋝⋈⪟337)) }', output=5960","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=5960, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=0, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=4116","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉5631⫳≱↱≴∭⊉4204)⋕⪉⪜(⊀≴∭⊉14420))⪬((≴∭⊉10123≋⫹)⊧↖)∴((≴∭⊉5242∛≴∭⊉4011∙∹∝(≴∭⊉23321⫍⨯↯))⋫)=≴∭⊉15000","reverse_text":"≴∭⊉15000=((≴∭⊉5631⫳≱↱≴∭⊉4204)⋕⪉⪜(⊀≴∭⊉14420))⪬((≴∭⊉10123≋⫹)⊧↖)∴((≴∭⊉5242∛≴∭⊉4011∙∹∝(≴∭⊉23321⫍⨯↯))⋫)","cot":[{"info":"≴∭⊉5631⫳≱↱≴∭⊉4204=≴∭⊉-411","layer":3},{"info":"⊀≴∭⊉14420=≴∭⊉63454","layer":3},{"info":"≴∭⊉-411⋕⪉⪜≴∭⊉63454=≴∭⊉411","layer":2},{"info":"≴∭⊉10123≋⫹=≴∭⊉-20246","layer":3},{"info":"≴∭⊉-20246⊧↖=≴∭⊉3422160053","layer":2},{"info":"≴∭⊉411⪬≴∭⊉3422160053=≴∭⊉3412","layer":1},{"info":"≴∭⊉5242∛≴∭⊉4011=≴∭⊉124","layer":3},{"info":"≴∭⊉23321⫍⨯↯=≴∭⊉23243","layer":3},{"info":"≴∭⊉124∙∹∝≴∭⊉23243=≴∭⊉0","layer":2},{"info":"≴∭⊉0⋫=≴∭⊉0","layer":1},{"info":"≴∭⊉3412∴≴∭⊉0=≴∭⊉15000","layer":0}]}
+{"id":538,"expression_no_base_symbol":"(⪨⨬(($6490$⊲⩕⊾$4720$)⫁⪎($2255$≃$6038$)))⨵⪆(($2851$⫔⩽⩺$3176$↱$3513$⪚$3348$)⫠↝⫳)","expression":"(⪨⨬((≴∭⊉24631⊲⩕⊾≴∭⊉16522)⫁⪎(≴∭⊉6401≃≴∭⊉23414)))⨵⪆((≴∭⊉11212⫔⩽⩺≴∭⊉12155↱≴∭⊉13146⪚≴∭⊉12522)⫠↝⫳)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":192,"operation_count":9,"complexity_ratio":21.333333333333332,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":6490,"base":7},"right_expr":{"type":"numeric_atoms","value":4720,"base":7}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":2255,"base":7},"right_expr":{"type":"numeric_atoms","value":6038,"base":7}}}},"right_expr":{"type":"unary","operator":"⫠↝⫳","unary_expr":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":2851,"base":7},"right_expr":{"type":"numeric_atoms","value":3176,"base":7}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":3513,"base":7},"right_expr":{"type":"numeric_atoms","value":3348,"base":7}}}}},"used_operators":["2DQ55sFlQl","5obUd6DV38","xRrnTEsQ6j","DmTXOeWf9t","YbVcJGFEVW","8n5YIzOsVS","SR5kFfdi6N","i9eR4S00cU","HrjLwUk87U"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","T2fj7uvVaJ","nlCqmYiOvY","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","9FxExcQeMw","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","Tw270M8GLb","fu6greOZ01","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0"],"result":"≴∭⊉316","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6490","layer":4},{"info":"number node, value=4720","layer":4},{"info":"compute binary expreesion, left_input=6490, right_input=4720, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-147670","layer":3},{"info":"number node, value=2255","layer":4},{"info":"number node, value=6038","layer":4},{"info":"compute binary expreesion, left_input=2255, right_input=6038, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-9060","layer":3},{"info":"compute binary expreesion, left_input=-147670, right_input=-9060, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-138610","layer":2},{"info":"compute unary expreesion, input=-138610, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":1},{"info":"number node, value=2851","layer":4},{"info":"number node, value=3176","layer":4},{"info":"compute binary expreesion, left_input=2851, right_input=3176, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"number node, value=3513","layer":4},{"info":"number node, value=3348","layer":4},{"info":"compute binary expreesion, left_input=3513, right_input=3348, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-26","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-26, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=15774","layer":2},{"info":"compute unary expreesion, input=15774, op_id = 8n5YIzOsVS, unary_op_definition = 'a⫠↝⫳ = { (((a⨸⪁a)⩷∴(⩦⩻⨪a))⫡⨏a) }', output=505391","layer":1},{"info":"compute binary expreesion, left_input=-526, right_input=505391, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":7,"result_base":7,"text":"(⪨⨬((≴∭⊉24631⊲⩕⊾≴∭⊉16522)⫁⪎(≴∭⊉6401≃≴∭⊉23414)))⨵⪆((≴∭⊉11212⫔⩽⩺≴∭⊉12155↱≴∭⊉13146⪚≴∭⊉12522)⫠↝⫳)=≴∭⊉316","reverse_text":"≴∭⊉316=(⪨⨬((≴∭⊉24631⊲⩕⊾≴∭⊉16522)⫁⪎(≴∭⊉6401≃≴∭⊉23414)))⨵⪆((≴∭⊉11212⫔⩽⩺≴∭⊉12155↱≴∭⊉13146⪚≴∭⊉12522)⫠↝⫳)","cot":[{"info":"≴∭⊉24631⊲⩕⊾≴∭⊉16522=≴∭⊉-1153345","layer":3},{"info":"≴∭⊉6401≃≴∭⊉23414=≴∭⊉-35262","layer":3},{"info":"≴∭⊉-1153345⫁⪎≴∭⊉-35262=≴∭⊉-1115053","layer":2},{"info":"⪨⨬≴∭⊉-1115053=≴∭⊉-1351","layer":1},{"info":"≴∭⊉11212⫔⩽⩺≴∭⊉12155=NaN","layer":3},{"info":"≴∭⊉13146⪚≴∭⊉12522=≴∭⊉-35","layer":3},{"info":"NaN↱≴∭⊉-35=≴∭⊉63663","layer":2},{"info":"≴∭⊉63663⫠↝⫳=≴∭⊉4203305","layer":1},{"info":"≴∭⊉-1351⨵⪆≴∭⊉4203305=≴∭⊉316","layer":0}]}
+{"id":539,"expression_no_base_symbol":"∥⊫(⩦⊞($2480$⪨⊡$3632$⩤))","expression":"∥⊫(⩦⊞(≴∭⊉10142⪨⊡≴∭⊉13406⩤))","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":24,"operation_count":4,"complexity_ratio":6.0,"tree":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":2480,"base":7},"right_expr":{"type":"numeric_atoms","value":3632,"base":7}}}}},"used_operators":["P8v4zCKN1o","u7fv1HBiaC","Z2TMIBDE3Q","kuIXHzHcAH"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP"],"result":"≴∭⊉2240","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2480","layer":4},{"info":"number node, value=3632","layer":4},{"info":"compute binary expreesion, left_input=2480, right_input=3632, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-56","layer":1},{"info":"compute unary expreesion, input=-56, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=812","layer":0}],"base":7,"result_base":7,"text":"∥⊫(⩦⊞(≴∭⊉10142⪨⊡≴∭⊉13406⩤))=≴∭⊉2240","reverse_text":"≴∭⊉2240=∥⊫(⩦⊞(≴∭⊉10142⪨⊡≴∭⊉13406⩤))","cot":[{"info":"≴∭⊉10142⪨⊡≴∭⊉13406=≴∭⊉0","layer":3},{"info":"≴∭⊉0⩤=≴∭⊉0","layer":2},{"info":"⩦⊞≴∭⊉0=≴∭⊉-110","layer":1},{"info":"∥⊫≴∭⊉-110=≴∭⊉2240","layer":0}]}
+{"id":540,"expression_no_base_symbol":"(⇉-⫰(⊆⋠$1903$⋥⋵⩄$7404$))⇼⇔∾($1804$⨜⨶$3434$⨒$1170$≝⊿$1638$)∠↢$1272$↼⊘⨖$1380$⪘⫢($1728$∴≳≥)","expression":"(⇉-⫰(⊆⋠≴∭⊉5356⋥⋵⩄≴∭⊉30405))⇼⇔∾(≴∭⊉5155⨜⨶≴∭⊉13004⨒≴∭⊉3261≝⊿≴∭⊉4530)∠↢≴∭⊉3465↼⊘⨖≴∭⊉4011⪘⫢(≴∭⊉5016∴≳≥)","highest_n_order":2,"priority_hierarchical_complexity":10,"normalized_expansion_degree":156,"operation_count":11,"complexity_ratio":14.181818181818182,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":1903,"base":7},"right_expr":{"type":"numeric_atoms","value":7404,"base":7}}}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":1804,"base":7},"right_expr":{"type":"numeric_atoms","value":3434,"base":7}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":1170,"base":7},"right_expr":{"type":"numeric_atoms","value":1638,"base":7}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":1272,"base":7},"right_expr":{"type":"numeric_atoms","value":1380,"base":7}},"right_expr":{"type":"unary","operator":"∴≳≥","unary_expr":{"type":"numeric_atoms","value":1728,"base":7}}}}},"used_operators":["tifHPKVTfV","IGFM8TAlm9","EBhcHTkKd8","7t3wd0Fuz7","KbjG8mgYpV","y75s1iXyHd","HiPekx5b7W","OKKcZfAt5B","oacrs7FA3X","bPywburJMS","a3N2hFLK0J"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","eH2TOUuTDT","eewbuw0ToL","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","12rbrZMWeM","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","g55IO6H4Gj","DpFCA1CohY","xUOZtlo3hN"],"result":"≴∭⊉-403016","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1903","layer":4},{"info":"number node, value=7404","layer":4},{"info":"compute binary expreesion, left_input=1903, right_input=7404, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"compute unary expreesion, input=113, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=348","layer":2},{"info":"compute unary expreesion, input=348, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":1},{"info":"number node, value=1804","layer":4},{"info":"number node, value=3434","layer":4},{"info":"compute binary expreesion, left_input=1804, right_input=3434, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-6612","layer":3},{"info":"number node, value=1170","layer":4},{"info":"number node, value=1638","layer":4},{"info":"compute binary expreesion, left_input=1170, right_input=1638, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-4979","layer":3},{"info":"compute binary expreesion, left_input=-6612, right_input=-4979, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=1","layer":2},{"info":"number node, value=1272","layer":4},{"info":"number node, value=1380","layer":4},{"info":"compute binary expreesion, left_input=1272, right_input=1380, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=2538","layer":3},{"info":"number node, value=1728","layer":4},{"info":"compute unary expreesion, input=1728, op_id = a3N2hFLK0J, unary_op_definition = 'a∴≳≥ = { (⨞⊢a) , if (⋗⩬⋾a)==641 ; (a⨸⪁a) , else }', output=6912","layer":3},{"info":"compute binary expreesion, left_input=2538, right_input=6912, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=4952","layer":2},{"info":"compute binary expreesion, left_input=1, right_input=4952, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-68250","layer":1},{"info":"compute binary expreesion, left_input=20, right_input=-68250, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-68270","layer":0}],"base":7,"result_base":7,"text":"(⇉-⫰(⊆⋠≴∭⊉5356⋥⋵⩄≴∭⊉30405))⇼⇔∾(≴∭⊉5155⨜⨶≴∭⊉13004⨒≴∭⊉3261≝⊿≴∭⊉4530)∠↢≴∭⊉3465↼⊘⨖≴∭⊉4011⪘⫢(≴∭⊉5016∴≳≥)=≴∭⊉-403016","reverse_text":"≴∭⊉-403016=(⇉-⫰(⊆⋠≴∭⊉5356⋥⋵⩄≴∭⊉30405))⇼⇔∾(≴∭⊉5155⨜⨶≴∭⊉13004⨒≴∭⊉3261≝⊿≴∭⊉4530)∠↢≴∭⊉3465↼⊘⨖≴∭⊉4011⪘⫢(≴∭⊉5016∴≳≥)","cot":[{"info":"≴∭⊉5356⋥⋵⩄≴∭⊉30405=≴∭⊉221","layer":3},{"info":"⊆⋠≴∭⊉221=≴∭⊉1005","layer":2},{"info":"⇉-⫰≴∭⊉1005=≴∭⊉26","layer":1},{"info":"≴∭⊉5155⨜⨶≴∭⊉13004=≴∭⊉-25164","layer":3},{"info":"≴∭⊉3261≝⊿≴∭⊉4530=≴∭⊉-20342","layer":3},{"info":"≴∭⊉-25164⨒≴∭⊉-20342=≴∭⊉1","layer":2},{"info":"≴∭⊉3465↼⊘⨖≴∭⊉4011=≴∭⊉10254","layer":3},{"info":"≴∭⊉5016∴≳≥=≴∭⊉26103","layer":3},{"info":"≴∭⊉10254⪘⫢≴∭⊉26103=≴∭⊉20303","layer":2},{"info":"≴∭⊉1∠↢≴∭⊉20303=≴∭⊉-402660","layer":1},{"info":"≴∭⊉26⇼⇔∾≴∭⊉-402660=≴∭⊉-403016","layer":0}]}
+{"id":541,"expression_no_base_symbol":"(($2842$⪄$2357$∕⩚$2262$⩺⪪$2126$)⨭⪣((⊵⊁$1192$)⫚⫇))⊨($4127$⩧⪆$1084$)≌($9104$⊭↱$2337$)≨($6464$⩇∃⫛$2782$)⪒⊣⊆($1228$/$1292$)","expression":"((≴∭⊉11200⪄≴∭⊉6605∕⩚≴∭⊉6411⩺⪪≴∭⊉6125)⨭⪣((⊵⊁≴∭⊉3322)⫚⫇))⊨(≴∭⊉15014⩧⪆≴∭⊉3106)≌(≴∭⊉35354⊭↱≴∭⊉6546)≨(≴∭⊉24563⩇∃⫛≴∭⊉11053)⪒⊣⊆(≴∭⊉3403/≴∭⊉3524)","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":14536,"operation_count":14,"complexity_ratio":1038.2857142857142,"tree":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2842,"base":7},"right_expr":{"type":"numeric_atoms","value":2357,"base":7}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":2262,"base":7},"right_expr":{"type":"numeric_atoms","value":2126,"base":7}}},"right_expr":{"type":"unary","operator":"⫚⫇","unary_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"numeric_atoms","value":1192,"base":7}}}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":4127,"base":7},"right_expr":{"type":"numeric_atoms","value":1084,"base":7}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":9104,"base":7},"right_expr":{"type":"numeric_atoms","value":2337,"base":7}}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":6464,"base":7},"right_expr":{"type":"numeric_atoms","value":2782,"base":7}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1228,"base":7},"right_expr":{"type":"numeric_atoms","value":1292,"base":7}}}}},"used_operators":["vg4gO5BX6G","kn8WO9XteQ","z9ffQ9n5Zr","SUmda5xLS4","uvdQJvN4PV","SdCjLnB6rR","AvED76WdY7","0KMCeP1Jsh","lyWz822IDG","Ikt5ks8PT7","COABgblf1C","eRqsBgTDFp","1aApVXNlOP","XhwjNDsVaA"],"dependent_operators":["NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","2td37pGCOC","uBihLCJcMX","k8jYdgA6NY","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","eewbuw0ToL","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","W4YGzv6Whe","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2842","layer":4},{"info":"number node, value=2357","layer":4},{"info":"compute binary expreesion, left_input=2842, right_input=2357, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-426133","layer":3},{"info":"number node, value=2262","layer":4},{"info":"number node, value=2126","layer":4},{"info":"compute binary expreesion, left_input=2262, right_input=2126, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-3074","layer":3},{"info":"compute binary expreesion, left_input=-426133, right_input=-3074, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":2},{"info":"number node, value=1192","layer":4},{"info":"compute unary expreesion, input=1192, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=6082","layer":3},{"info":"compute unary expreesion, input=6082, op_id = SdCjLnB6rR, unary_op_definition = 'a⫚⫇ = { ((⨞⊢87)⨸⪁((⩦⩻⨪a)≧⫂∧a)) }', output=10696","layer":2},{"info":"compute binary expreesion, left_input=-487, right_input=10696, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-308","layer":1},{"info":"number node, value=4127","layer":4},{"info":"number node, value=1084","layer":4},{"info":"compute binary expreesion, left_input=4127, right_input=1084, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-1084","layer":3},{"info":"number node, value=9104","layer":4},{"info":"number node, value=2337","layer":4},{"info":"compute binary expreesion, left_input=9104, right_input=2337, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-13529","layer":3},{"info":"compute binary expreesion, left_input=-1084, right_input=-13529, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":2},{"info":"number node, value=6464","layer":4},{"info":"number node, value=2782","layer":4},{"info":"compute binary expreesion, left_input=6464, right_input=2782, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=-3209","layer":3},{"info":"number node, value=1228","layer":4},{"info":"number node, value=1292","layer":4},{"info":"compute binary expreesion, left_input=1228, right_input=1292, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=-3209, right_input=0, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=6520","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=6520, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-308, right_input=nan, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉11200⪄≴∭⊉6605∕⩚≴∭⊉6411⩺⪪≴∭⊉6125)⨭⪣((⊵⊁≴∭⊉3322)⫚⫇))⊨(≴∭⊉15014⩧⪆≴∭⊉3106)≌(≴∭⊉35354⊭↱≴∭⊉6546)≨(≴∭⊉24563⩇∃⫛≴∭⊉11053)⪒⊣⊆(≴∭⊉3403/≴∭⊉3524)=NaN","reverse_text":"NaN=((≴∭⊉11200⪄≴∭⊉6605∕⩚≴∭⊉6411⩺⪪≴∭⊉6125)⨭⪣((⊵⊁≴∭⊉3322)⫚⫇))⊨(≴∭⊉15014⩧⪆≴∭⊉3106)≌(≴∭⊉35354⊭↱≴∭⊉6546)≨(≴∭⊉24563⩇∃⫛≴∭⊉11053)⪒⊣⊆(≴∭⊉3403/≴∭⊉3524)","cot":[{"info":"≴∭⊉11200⪄≴∭⊉6605=≴∭⊉-3423241","layer":3},{"info":"≴∭⊉6411⩺⪪≴∭⊉6125=≴∭⊉-11651","layer":3},{"info":"≴∭⊉-3423241∕⩚≴∭⊉-11651=≴∭⊉-1264","layer":2},{"info":"⊵⊁≴∭⊉3322=≴∭⊉23506","layer":3},{"info":"≴∭⊉23506⫚⫇=≴∭⊉43120","layer":2},{"info":"≴∭⊉-1264⨭⪣≴∭⊉43120=≴∭⊉-620","layer":1},{"info":"≴∭⊉15014⩧⪆≴∭⊉3106=≴∭⊉-3106","layer":3},{"info":"≴∭⊉35354⊭↱≴∭⊉6546=≴∭⊉-54305","layer":3},{"info":"≴∭⊉-3106≌≴∭⊉-54305=NaN","layer":2},{"info":"≴∭⊉24563⩇∃⫛≴∭⊉11053=≴∭⊉-12233","layer":3},{"info":"≴∭⊉3403/≴∭⊉3524=≴∭⊉0","layer":3},{"info":"≴∭⊉-12233⪒⊣⊆≴∭⊉0=≴∭⊉25003","layer":2},{"info":"NaN≨≴∭⊉25003=NaN","layer":1},{"info":"≴∭⊉-620⊨NaN=NaN","layer":0}]}
+{"id":542,"expression_no_base_symbol":"(($4996$≫≃)⊚⫡⫭)∛($2479$⩅⪻⪻)⨔⇊($1637$↼⊘⨖$3206$)⇼⇔∾(∓(⊵⊁$2265$))≬⇓($1071$≃$3577$)⇂≾⫗$2871$⊕∕$7295$","expression":"((≴∭⊉20365≫≃)⊚⫡⫭)∛(≴∭⊉10141⩅⪻⪻)⨔⇊(≴∭⊉4526↼⊘⨖≴∭⊉12230)⇼⇔∾(∓(⊵⊁≴∭⊉6414))≬⇓(≴∭⊉3060≃≴∭⊉13300)⇂≾⫗≴∭⊉11241⊕∕≴∭⊉30161","highest_n_order":3,"priority_hierarchical_complexity":13,"normalized_expansion_degree":578561,"operation_count":13,"complexity_ratio":44504.692307692305,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"unary","operator":"⊚⫡⫭","unary_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":4996,"base":7}}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"unary","operator":"⩅⪻⪻","unary_expr":{"type":"numeric_atoms","value":2479,"base":7}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":1637,"base":7},"right_expr":{"type":"numeric_atoms","value":3206,"base":7}}}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"numeric_atoms","value":2265,"base":7}}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":1071,"base":7},"right_expr":{"type":"numeric_atoms","value":3577,"base":7}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":2871,"base":7},"right_expr":{"type":"numeric_atoms","value":7295,"base":7}}}}},"used_operators":["tifHPKVTfV","w2537kitQq","SpZWOsLKZJ","X99M06cbEe","JclMnS0uGI","kHoXpA7yos","bPywburJMS","jWTQ2TZYIH","OwUj7dcsQK","AvED76WdY7","aBQ6xLxuTc","YbVcJGFEVW","9cloC0Ngie"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","P8v4zCKN1o","rysDP5nf3Z","e1ybzncUwg","N41Kp7NANJ","sdazOOVcIp","Ph9nP6C5qx","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","SUmda5xLS4","KPf6cnQVty","8HhzD0ZcuI","9Isq31Ruls","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","uBihLCJcMX","k8jYdgA6NY","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf"],"result":"Inf","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4996","layer":4},{"info":"compute unary expreesion, input=4996, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=11393","layer":3},{"info":"compute unary expreesion, input=11393, op_id = SpZWOsLKZJ, unary_op_definition = 'a⊚⫡⫭ = { (((∥⊫a)≧⫂∧(≉a))⪨≂((177-a)≋⫹)) }', output=-21860","layer":2},{"info":"number node, value=2479","layer":4},{"info":"compute unary expreesion, input=2479, op_id = kHoXpA7yos, unary_op_definition = 'a⩅⪻⪻ = { (a⪄((a∌↝a)⨽(a∺≝⩲a))) }', output=-366317","layer":3},{"info":"number node, value=1637","layer":4},{"info":"number node, value=3206","layer":4},{"info":"compute binary expreesion, left_input=1637, right_input=3206, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=6190","layer":3},{"info":"compute binary expreesion, left_input=-366317, right_input=6190, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=6190","layer":2},{"info":"compute binary expreesion, left_input=-21860, right_input=6190, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-676","layer":1},{"info":"number node, value=2265","layer":4},{"info":"compute unary expreesion, input=2265, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=12520","layer":3},{"info":"compute unary expreesion, input=12520, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-192672","layer":2},{"info":"number node, value=1071","layer":4},{"info":"number node, value=3577","layer":4},{"info":"compute binary expreesion, left_input=1071, right_input=3577, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-4324","layer":3},{"info":"number node, value=2871","layer":4},{"info":"number node, value=7295","layer":4},{"info":"compute binary expreesion, left_input=2871, right_input=7295, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=2871","layer":3},{"info":"compute binary expreesion, left_input=-4324, right_input=2871, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-664","layer":2},{"info":"compute binary expreesion, left_input=-192672, right_input=-664, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=inf","layer":1},{"info":"compute binary expreesion, left_input=-676, right_input=inf, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=inf","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉20365≫≃)⊚⫡⫭)∛(≴∭⊉10141⩅⪻⪻)⨔⇊(≴∭⊉4526↼⊘⨖≴∭⊉12230)⇼⇔∾(∓(⊵⊁≴∭⊉6414))≬⇓(≴∭⊉3060≃≴∭⊉13300)⇂≾⫗≴∭⊉11241⊕∕≴∭⊉30161=Inf","reverse_text":"Inf=((≴∭⊉20365≫≃)⊚⫡⫭)∛(≴∭⊉10141⩅⪻⪻)⨔⇊(≴∭⊉4526↼⊘⨖≴∭⊉12230)⇼⇔∾(∓(⊵⊁≴∭⊉6414))≬⇓(≴∭⊉3060≃≴∭⊉13300)⇂≾⫗≴∭⊉11241⊕∕≴∭⊉30161","cot":[{"info":"≴∭⊉20365≫≃=≴∭⊉45134","layer":3},{"info":"≴∭⊉45134⊚⫡⫭=≴∭⊉-120506","layer":2},{"info":"≴∭⊉10141⩅⪻⪻=≴∭⊉-3053660","layer":3},{"info":"≴∭⊉4526↼⊘⨖≴∭⊉12230=≴∭⊉24022","layer":3},{"info":"≴∭⊉-3053660⨔⇊≴∭⊉24022=≴∭⊉24022","layer":2},{"info":"≴∭⊉-120506∛≴∭⊉24022=≴∭⊉-1654","layer":1},{"info":"⊵⊁≴∭⊉6414=≴∭⊉51334","layer":3},{"info":"∓≴∭⊉51334=≴∭⊉-1431504","layer":2},{"info":"≴∭⊉3060≃≴∭⊉13300=≴∭⊉-15415","layer":3},{"info":"≴∭⊉11241⊕∕≴∭⊉30161=≴∭⊉11241","layer":3},{"info":"≴∭⊉-15415⇂≾⫗≴∭⊉11241=≴∭⊉-1636","layer":2},{"info":"≴∭⊉-1431504≬⇓≴∭⊉-1636=Inf","layer":1},{"info":"≴∭⊉-1654⇼⇔∾Inf=Inf","layer":0}]}
+{"id":543,"expression_no_base_symbol":"⇨((≔$1079$)⨪↰⇹$2012$≌$5533$∽(($2042$≃⋄)⪠⩆⊳))","expression":"⇨((≔≴∭⊉3101)⨪↰⇹≴∭⊉5603≌≴∭⊉22063∽((≴∭⊉5645≃⋄)⪠⩆⊳))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":34655,"operation_count":7,"complexity_ratio":4950.714285714285,"tree":{"type":"unary","operator":"⇨","unary_expr":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"numeric_atoms","value":1079,"base":7}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":2012,"base":7},"right_expr":{"type":"numeric_atoms","value":5533,"base":7}}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"unary","operator":"≃⋄","unary_expr":{"type":"numeric_atoms","value":2042,"base":7}}}}},"used_operators":["G9tJMlZ94a","y4ImoPnbV5","tmPS8pqC7x","8FLs4eVsLt","lyWz822IDG","JLbD19bQDL","aN9a90urxU"],"dependent_operators":["k8jYdgA6NY","NTOWxs364D","QMFrweE19q","rJVOvQCfKK","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","uFcxV4UQCh","jLgFTUHLKL"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1079","layer":4},{"info":"compute unary expreesion, input=1079, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-28918","layer":3},{"info":"number node, value=2012","layer":4},{"info":"number node, value=5533","layer":4},{"info":"compute binary expreesion, left_input=2012, right_input=5533, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-28918, right_input=nan, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=-28918","layer":2},{"info":"number node, value=2042","layer":4},{"info":"compute unary expreesion, input=2042, op_id = aN9a90urxU, unary_op_definition = 'a≃⋄ = { (↩(252⪛a)) }', output=764","layer":3},{"info":"compute unary expreesion, input=764, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-28918, right_input=0, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=144768","layer":1},{"info":"compute unary expreesion, input=144768, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":0}],"base":7,"result_base":7,"text":"⇨((≔≴∭⊉3101)⨪↰⇹≴∭⊉5603≌≴∭⊉22063∽((≴∭⊉5645≃⋄)⪠⩆⊳))=≴∭⊉0","reverse_text":"≴∭⊉0=⇨((≔≴∭⊉3101)⨪↰⇹≴∭⊉5603≌≴∭⊉22063∽((≴∭⊉5645≃⋄)⪠⩆⊳))","cot":[{"info":"≔≴∭⊉3101=≴∭⊉-150211","layer":3},{"info":"≴∭⊉5603≌≴∭⊉22063=NaN","layer":3},{"info":"≴∭⊉-150211⨪↰⇹NaN=≴∭⊉-150211","layer":2},{"info":"≴∭⊉5645≃⋄=≴∭⊉2141","layer":3},{"info":"≴∭⊉2141⪠⩆⊳=≴∭⊉0","layer":2},{"info":"≴∭⊉-150211∽≴∭⊉0=≴∭⊉1142031","layer":1},{"info":"⇨≴∭⊉1142031=≴∭⊉0","layer":0}]}
+{"id":544,"expression_no_base_symbol":"((($1217$∩⋅)⨶)%($1353$⫸⊐$3058$)⇤($9081$⨽$4559$))⪕($8874$⩖⊿$1105$∋($4490$∙⊟$1391$)⊹∫⫚(⪭⩑⪱$6328$)⨓$1582$≀⫉$1048$)","expression":"(((≴∭⊉3356∩⋅)⨶)%(≴∭⊉3642⫸⊐≴∭⊉11626)⇤(≴∭⊉35322⨽≴∭⊉16202))⪕(≴∭⊉34605⩖⊿≴∭⊉3136∋(≴∭⊉16043∙⊟≴∭⊉4025)⊹∫⫚(⪭⩑⪱≴∭⊉24310)⨓≴∭⊉4420≀⫉≴∭⊉3025)","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1426625,"operation_count":14,"complexity_ratio":101901.78571428571,"tree":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⨶","unary_expr":{"type":"unary","operator":"∩⋅","unary_expr":{"type":"numeric_atoms","value":1217,"base":7}}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1353,"base":7},"right_expr":{"type":"numeric_atoms","value":3058,"base":7}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":9081,"base":7},"right_expr":{"type":"numeric_atoms","value":4559,"base":7}}}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":8874,"base":7},"right_expr":{"type":"numeric_atoms","value":1105,"base":7}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":4490,"base":7},"right_expr":{"type":"numeric_atoms","value":1391,"base":7}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"numeric_atoms","value":6328,"base":7}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":1582,"base":7},"right_expr":{"type":"numeric_atoms","value":1048,"base":7}}}}},"used_operators":["umQnsF7QlU","k8jYdgA6NY","rFxw8gIMmB","2MzE1hQ0cz","YSKBFp38Pu","mqXw5SEYmG","8HhzD0ZcuI","uWAJUKEvyW","ukq6epAj5P","RZ5CV9rWsJ","SxTAKzQCrw","3ViojmjbAp","SIgE0bArFf","oZj3VtZNQx"],"dependent_operators":["P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","rysDP5nf3Z","f6k1SAg4EE","Qy55tPpLXF","Qy55tPpLXF","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1217","layer":4},{"info":"compute unary expreesion, input=1217, op_id = 2MzE1hQ0cz, unary_op_definition = 'a∩⋅ = { (a⋥≓≎44) }', output=-1096","layer":3},{"info":"compute unary expreesion, input=-1096, op_id = rFxw8gIMmB, unary_op_definition = 'a⨶ = { ((a⋥≓≎303)⪒(a⋥≓≎537)) }', output=-134","layer":2},{"info":"number node, value=1353","layer":4},{"info":"number node, value=3058","layer":4},{"info":"compute binary expreesion, left_input=1353, right_input=3058, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=12107","layer":3},{"info":"number node, value=9081","layer":4},{"info":"number node, value=4559","layer":4},{"info":"compute binary expreesion, left_input=9081, right_input=4559, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-247406046","layer":3},{"info":"compute binary expreesion, left_input=12107, right_input=-247406046, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=1236972543","layer":2},{"info":"compute binary expreesion, left_input=-134, right_input=1236972543, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1236972409","layer":1},{"info":"number node, value=8874","layer":4},{"info":"number node, value=1105","layer":4},{"info":"compute binary expreesion, left_input=8874, right_input=1105, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-26738","layer":3},{"info":"number node, value=4490","layer":4},{"info":"number node, value=1391","layer":4},{"info":"compute binary expreesion, left_input=4490, right_input=1391, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=68216","layer":3},{"info":"compute binary expreesion, left_input=-26738, right_input=68216, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=139899504","layer":2},{"info":"number node, value=6328","layer":4},{"info":"compute unary expreesion, input=6328, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":3},{"info":"number node, value=1582","layer":4},{"info":"number node, value=1048","layer":4},{"info":"compute binary expreesion, left_input=1582, right_input=1048, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"compute binary expreesion, left_input=8320752, right_input=2822, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2825","layer":2},{"info":"compute binary expreesion, left_input=139899504, right_input=-2825, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-212","layer":1},{"info":"compute binary expreesion, left_input=1236972409, right_input=-212, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(((≴∭⊉3356∩⋅)⨶)%(≴∭⊉3642⫸⊐≴∭⊉11626)⇤(≴∭⊉35322⨽≴∭⊉16202))⪕(≴∭⊉34605⩖⊿≴∭⊉3136∋(≴∭⊉16043∙⊟≴∭⊉4025)⊹∫⫚(⪭⩑⪱≴∭⊉24310)⨓≴∭⊉4420≀⫉≴∭⊉3025)=NaN","reverse_text":"NaN=(((≴∭⊉3356∩⋅)⨶)%(≴∭⊉3642⫸⊐≴∭⊉11626)⇤(≴∭⊉35322⨽≴∭⊉16202))⪕(≴∭⊉34605⩖⊿≴∭⊉3136∋(≴∭⊉16043∙⊟≴∭⊉4025)⊹∫⫚(⪭⩑⪱≴∭⊉24310)⨓≴∭⊉4420≀⫉≴∭⊉3025)","cot":[{"info":"≴∭⊉3356∩⋅=≴∭⊉-3124","layer":3},{"info":"≴∭⊉-3124⨶=≴∭⊉-251","layer":2},{"info":"≴∭⊉3642⫸⊐≴∭⊉11626=≴∭⊉50204","layer":3},{"info":"≴∭⊉35322⨽≴∭⊉16202=≴∭⊉-6062626266","layer":3},{"info":"≴∭⊉50204⇤≴∭⊉-6062626266=≴∭⊉42440043642","layer":2},{"info":"≴∭⊉-251%≴∭⊉42440043642=≴∭⊉42440043361","layer":1},{"info":"≴∭⊉34605⩖⊿≴∭⊉3136=≴∭⊉-140645","layer":3},{"info":"≴∭⊉16043∙⊟≴∭⊉4025=≴∭⊉402611","layer":3},{"info":"≴∭⊉-140645∋≴∭⊉402611=≴∭⊉3316061163","layer":2},{"info":"⪭⩑⪱≴∭⊉24310=≴∭⊉130503516","layer":3},{"info":"≴∭⊉4420≀⫉≴∭⊉3025=≴∭⊉11141","layer":3},{"info":"≴∭⊉130503516⨓≴∭⊉11141=≴∭⊉-11144","layer":2},{"info":"≴∭⊉3316061163⊹∫⫚≴∭⊉-11144=≴∭⊉-422","layer":1},{"info":"≴∭⊉42440043361⪕≴∭⊉-422=NaN","layer":0}]}
+{"id":545,"expression_no_base_symbol":"(⇖⫷⫕($1909$⫌⩉⩟$1473$)⊔(⩷$9816$))⨪↰⇹(($5848$⨑⩅≇$1589$⩭)↺(($2989$≒∊$1626$)⨕⋳))","expression":"(⇖⫷⫕(≴∭⊉5365⫌⩉⩟≴∭⊉4203)⊔(⩷≴∭⊉40422))⨪↰⇹((≴∭⊉23023⨑⩅≇≴∭⊉4430⩭)↺((≴∭⊉11500≒∊≴∭⊉4512)⨕⋳))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":335118,"operation_count":10,"complexity_ratio":33511.8,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":1909,"base":7},"right_expr":{"type":"numeric_atoms","value":1473,"base":7}},"right_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"numeric_atoms","value":9816,"base":7}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⩭","unary_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":5848,"base":7},"right_expr":{"type":"numeric_atoms","value":1589,"base":7}}},"right_expr":{"type":"unary","operator":"⨕⋳","unary_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":2989,"base":7},"right_expr":{"type":"numeric_atoms","value":1626,"base":7}}}}},"used_operators":["tmPS8pqC7x","UHmRx3INFg","E4l6HwMY31","XIIwhv8d0m","1h0rLqGiFr","7j4O788W3g","yIPP7u6H5x","h92wMvzauj","4X4GscPmMf","5KTvxBwnZo"],"dependent_operators":["rJVOvQCfKK","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","rysDP5nf3Z","t8gj7n24qd","nOKPl9n5zu","SUmda5xLS4","9HNa5Wba9A","fu6greOZ01","3tVxb0NHM4","GjBEYRfMaF","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","9bazX3JMtO","nhYeJWJD5X","DbCuESL50I","3EYGwJThht","w2P8NbNXyL","uFcxV4UQCh","bJkvcejdHO","BUOGQAYlQx","cTDWOvIxvz","hrf7POJlIJ","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl"],"result":"≴∭⊉11141","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1909","layer":4},{"info":"number node, value=1473","layer":4},{"info":"compute binary expreesion, left_input=1909, right_input=1473, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"number node, value=9816","layer":4},{"info":"compute unary expreesion, input=9816, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-117871","layer":3},{"info":"compute binary expreesion, left_input=-50, right_input=-117871, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=-135","layer":2},{"info":"compute unary expreesion, input=-135, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":1},{"info":"number node, value=5848","layer":4},{"info":"number node, value=1589","layer":4},{"info":"compute binary expreesion, left_input=5848, right_input=1589, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-17544","layer":3},{"info":"compute unary expreesion, input=-17544, op_id = yIPP7u6H5x, unary_op_definition = 'a⩭ = { (((a⨐⩸⫘a)⪎↠(696*a))⪔(224⪄(⋗⩴⪓a))) }', output=nan","layer":2},{"info":"number node, value=2989","layer":4},{"info":"number node, value=1626","layer":4},{"info":"compute binary expreesion, left_input=2989, right_input=1626, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-2505","layer":3},{"info":"compute unary expreesion, input=-2505, op_id = 4X4GscPmMf, unary_op_definition = 'a⨕⋳ = { ((⋼∭⪍(a∴a))⊉↱≁(⋂(a↹⊜60))) , if (a∝72)!=68 ; (((a≎⊠⪸503)⇄(a∇⊂⋱a))⪛a) , else }', output=-253774","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-253774, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-253774","layer":1},{"info":"compute binary expreesion, left_input=2822, right_input=-253774, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2822","layer":0}],"base":7,"result_base":7,"text":"(⇖⫷⫕(≴∭⊉5365⫌⩉⩟≴∭⊉4203)⊔(⩷≴∭⊉40422))⨪↰⇹((≴∭⊉23023⨑⩅≇≴∭⊉4430⩭)↺((≴∭⊉11500≒∊≴∭⊉4512)⨕⋳))=≴∭⊉11141","reverse_text":"≴∭⊉11141=(⇖⫷⫕(≴∭⊉5365⫌⩉⩟≴∭⊉4203)⊔(⩷≴∭⊉40422))⨪↰⇹((≴∭⊉23023⨑⩅≇≴∭⊉4430⩭)↺((≴∭⊉11500≒∊≴∭⊉4512)⨕⋳))","cot":[{"info":"≴∭⊉5365⫌⩉⩟≴∭⊉4203=≴∭⊉-101","layer":3},{"info":"⩷≴∭⊉40422=≴∭⊉-1000435","layer":3},{"info":"≴∭⊉-101⊔≴∭⊉-1000435=≴∭⊉-252","layer":2},{"info":"⇖⫷⫕≴∭⊉-252=≴∭⊉11141","layer":1},{"info":"≴∭⊉23023⨑⩅≇≴∭⊉4430=≴∭⊉-102102","layer":3},{"info":"≴∭⊉-102102⩭=NaN","layer":2},{"info":"≴∭⊉11500≒∊≴∭⊉4512=≴∭⊉-10206","layer":3},{"info":"≴∭⊉-10206⨕⋳=≴∭⊉-2104603","layer":2},{"info":"NaN↺≴∭⊉-2104603=≴∭⊉-2104603","layer":1},{"info":"≴∭⊉11141⨪↰⇹≴∭⊉-2104603=≴∭⊉11141","layer":0}]}
+{"id":546,"expression_no_base_symbol":"($2064$⪬$5747$⫯⪬∳$1345$⨂≜$1110$)≌((⊥$1336$)⊚⫡⫭)⋷(⋂$1772$)⫸⇳$4763$↢$2898$⋭≵(⪨⨬($2677$⋥≓≎$4524$))","expression":"(≴∭⊉6006⪬≴∭⊉22520⫯⪬∳≴∭⊉3631⨂≜≴∭⊉3144)≌((⊥≴∭⊉3616)⊚⫡⫭)⋷(⋂≴∭⊉5111)⫸⇳≴∭⊉16613↢≴∭⊉11310⋭≵(⪨⨬(≴∭⊉10543⋥≓≎≴∭⊉16122))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2174,"operation_count":13,"complexity_ratio":167.23076923076923,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":2064,"base":7},"right_expr":{"type":"numeric_atoms","value":5747,"base":7}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":1345,"base":7},"right_expr":{"type":"numeric_atoms","value":1110,"base":7}}},"right_expr":{"type":"unary","operator":"⊚⫡⫭","unary_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1336,"base":7}}}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"unary","operator":"⋂","unary_expr":{"type":"numeric_atoms","value":1772,"base":7}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":4763,"base":7},"right_expr":{"type":"numeric_atoms","value":2898,"base":7}}},"right_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2677,"base":7},"right_expr":{"type":"numeric_atoms","value":4524,"base":7}}}}},"used_operators":["23Mk6UjR3U","lyWz822IDG","d7ASUq0ydm","Ez1Nq5fNfI","k1SHOSEABc","SpZWOsLKZJ","Q3PJZHRvZv","jBncVCNhdl","gx7XJ7hdpj","BUOGQAYlQx","WR6HLWljOP","5obUd6DV38","Qy55tPpLXF"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","P8v4zCKN1o","rysDP5nf3Z","e1ybzncUwg","N41Kp7NANJ","sdazOOVcIp","Ph9nP6C5qx","fu6greOZ01","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","T2fj7uvVaJ","nlCqmYiOvY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2064","layer":4},{"info":"number node, value=5747","layer":4},{"info":"compute binary expreesion, left_input=2064, right_input=5747, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"number node, value=1345","layer":4},{"info":"number node, value=1110","layer":4},{"info":"compute binary expreesion, left_input=1345, right_input=1110, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=nan, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=3769","layer":2},{"info":"number node, value=1336","layer":4},{"info":"compute unary expreesion, input=1336, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = SpZWOsLKZJ, unary_op_definition = 'a⊚⫡⫭ = { (((∥⊫a)≧⫂∧(≉a))⪨≂((177-a)≋⫹)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=3769, right_input=nan, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":1},{"info":"number node, value=1772","layer":4},{"info":"compute unary expreesion, input=1772, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=-24212","layer":3},{"info":"number node, value=4763","layer":4},{"info":"number node, value=2898","layer":4},{"info":"compute binary expreesion, left_input=4763, right_input=2898, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=4279","layer":3},{"info":"compute binary expreesion, left_input=-24212, right_input=4279, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":2},{"info":"number node, value=2677","layer":4},{"info":"number node, value=4524","layer":4},{"info":"compute binary expreesion, left_input=2677, right_input=4524, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=6404","layer":3},{"info":"compute unary expreesion, input=6404, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-526, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=34","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=34, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉6006⪬≴∭⊉22520⫯⪬∳≴∭⊉3631⨂≜≴∭⊉3144)≌((⊥≴∭⊉3616)⊚⫡⫭)⋷(⋂≴∭⊉5111)⫸⇳≴∭⊉16613↢≴∭⊉11310⋭≵(⪨⨬(≴∭⊉10543⋥≓≎≴∭⊉16122))=NaN","reverse_text":"NaN=(≴∭⊉6006⪬≴∭⊉22520⫯⪬∳≴∭⊉3631⨂≜≴∭⊉3144)≌((⊥≴∭⊉3616)⊚⫡⫭)⋷(⋂≴∭⊉5111)⫸⇳≴∭⊉16613↢≴∭⊉11310⋭≵(⪨⨬(≴∭⊉10543⋥≓≎≴∭⊉16122))","cot":[{"info":"≴∭⊉6006⪬≴∭⊉22520=≴∭⊉3412","layer":3},{"info":"≴∭⊉3631⨂≜≴∭⊉3144=NaN","layer":3},{"info":"≴∭⊉3412⫯⪬∳NaN=≴∭⊉13663","layer":2},{"info":"⊥≴∭⊉3616=NaN","layer":3},{"info":"NaN⊚⫡⫭=NaN","layer":2},{"info":"≴∭⊉13663≌NaN=NaN","layer":1},{"info":"⋂≴∭⊉5111=≴∭⊉-130406","layer":3},{"info":"≴∭⊉16613↢≴∭⊉11310=≴∭⊉15322","layer":3},{"info":"≴∭⊉-130406⫸⇳≴∭⊉15322=≴∭⊉0","layer":2},{"info":"≴∭⊉10543⋥≓≎≴∭⊉16122=≴∭⊉24446","layer":3},{"info":"⪨⨬≴∭⊉24446=≴∭⊉-1351","layer":2},{"info":"≴∭⊉0⋭≵≴∭⊉-1351=≴∭⊉46","layer":1},{"info":"NaN⋷≴∭⊉46=NaN","layer":0}]}
+{"id":547,"expression_no_base_symbol":"⇉-⫰((($3577$⨑≵⋬$1724$)⪄($2572$∩⋅))≧⫂∧(($2201$⨲)⨎$1210$⫣⪄⊒$1696$))","expression":"⇉-⫰(((≴∭⊉13300⨑≵⋬≴∭⊉5012)⪄(≴∭⊉10333∩⋅))≧⫂∧((≴∭⊉6263⨲)⨎≴∭⊉3346⫣⪄⊒≴∭⊉4642))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":332529,"operation_count":8,"complexity_ratio":41566.125,"tree":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":3577,"base":7},"right_expr":{"type":"numeric_atoms","value":1724,"base":7}},"right_expr":{"type":"unary","operator":"∩⋅","unary_expr":{"type":"numeric_atoms","value":2572,"base":7}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⨲","unary_expr":{"type":"numeric_atoms","value":2201,"base":7}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":1210,"base":7},"right_expr":{"type":"numeric_atoms","value":1696,"base":7}}}}},"used_operators":["IGFM8TAlm9","Ph9nP6C5qx","SUmda5xLS4","XnXgA4xnOs","2MzE1hQ0cz","rJVOvQCfKK","nLYMGWM7L8","RabNbG55vr"],"dependent_operators":["eH2TOUuTDT","eewbuw0ToL","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","Qy55tPpLXF","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","DlLNRPXxWL","WR6HLWljOP","48vC8HMD2b","SUmda5xLS4","wicAB68Tmb","hrf7POJlIJ","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI"],"result":"≴∭⊉26","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3577","layer":4},{"info":"number node, value=1724","layer":4},{"info":"compute binary expreesion, left_input=3577, right_input=1724, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=7196","layer":3},{"info":"number node, value=2572","layer":4},{"info":"compute unary expreesion, input=2572, op_id = 2MzE1hQ0cz, unary_op_definition = 'a∩⋅ = { (a⋥≓≎44) }', output=-2451","layer":3},{"info":"compute binary expreesion, left_input=7196, right_input=-2451, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-1051293","layer":2},{"info":"number node, value=2201","layer":4},{"info":"compute unary expreesion, input=2201, op_id = nLYMGWM7L8, unary_op_definition = 'a⨲ = { ((a↢a)∴(118⪝a)) , if a==152 ; ((a⪄a)⫘(⫛⫱⨽a)) , else }', output=388838221","layer":3},{"info":"number node, value=1210","layer":4},{"info":"number node, value=1696","layer":4},{"info":"compute binary expreesion, left_input=1210, right_input=1696, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-8268","layer":3},{"info":"compute binary expreesion, left_input=388838221, right_input=-8268, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-8268","layer":2},{"info":"compute binary expreesion, left_input=-1051293, right_input=-8268, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-1043025","layer":1},{"info":"compute unary expreesion, input=-1043025, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":0}],"base":7,"result_base":7,"text":"⇉-⫰(((≴∭⊉13300⨑≵⋬≴∭⊉5012)⪄(≴∭⊉10333∩⋅))≧⫂∧((≴∭⊉6263⨲)⨎≴∭⊉3346⫣⪄⊒≴∭⊉4642))=≴∭⊉26","reverse_text":"≴∭⊉26=⇉-⫰(((≴∭⊉13300⨑≵⋬≴∭⊉5012)⪄(≴∭⊉10333∩⋅))≧⫂∧((≴∭⊉6263⨲)⨎≴∭⊉3346⫣⪄⊒≴∭⊉4642))","cot":[{"info":"≴∭⊉13300⨑≵⋬≴∭⊉5012=≴∭⊉26660","layer":3},{"info":"≴∭⊉10333∩⋅=≴∭⊉-10101","layer":3},{"info":"≴∭⊉26660⪄≴∭⊉-10101=≴∭⊉-11635665","layer":2},{"info":"≴∭⊉6263⨲=≴∭⊉12431033062","layer":3},{"info":"≴∭⊉3346⫣⪄⊒≴∭⊉4642=≴∭⊉-33051","layer":3},{"info":"≴∭⊉12431033062⨎≴∭⊉-33051=≴∭⊉-33051","layer":2},{"info":"≴∭⊉-11635665≧⫂∧≴∭⊉-33051=≴∭⊉-11602614","layer":1},{"info":"⇉-⫰≴∭⊉-11602614=≴∭⊉26","layer":0}]}
+{"id":548,"expression_no_base_symbol":"(≅≯⇸$3960$⊹∫⫚$1744$)⪚(($1303$⪣⫩)⫢⨠$2133$⨼⩣$1174$)⪇≇⋚(($4284$∷)⇄$2058$⩖⊿$2882$⪨⊡(($1567$⋻⩜⩜$8805$)≓∲$1460$⊮⊟↴$5647$))","expression":"(≅≯⇸≴∭⊉14355⊹∫⫚≴∭⊉5041)⪚((≴∭⊉3541⪣⫩)⫢⨠≴∭⊉6135⨼⩣≴∭⊉3265)⪇≇⋚((≴∭⊉15330∷)⇄≴∭⊉6000⩖⊿≴∭⊉11255⪨⊡((≴∭⊉4366⋻⩜⩜≴∭⊉34446)≓∲≴∭⊉4154⊮⊟↴≴∭⊉22315))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":123923,"operation_count":14,"complexity_ratio":8851.642857142857,"tree":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":3960,"base":7},"right_expr":{"type":"numeric_atoms","value":1744,"base":7}}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"unary","operator":"⪣⫩","unary_expr":{"type":"numeric_atoms","value":1303,"base":7}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":2133,"base":7},"right_expr":{"type":"numeric_atoms","value":1174,"base":7}}}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"unary","operator":"∷","unary_expr":{"type":"numeric_atoms","value":4284,"base":7}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":2058,"base":7},"right_expr":{"type":"numeric_atoms","value":2882,"base":7}}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":1567,"base":7},"right_expr":{"type":"numeric_atoms","value":8805,"base":7}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":1460,"base":7},"right_expr":{"type":"numeric_atoms","value":5647,"base":7}}}}},"used_operators":["3sJ7IOPOlU","HrjLwUk87U","apS25hmuAe","uWAJUKEvyW","xlXykHWxX1","iuk5sVOGFA","JxwMv5le6e","kuIXHzHcAH","3EYGwJThht","nFAOW8KTqp","RZ5CV9rWsJ","s1XTVnmDOJ","oDCm7WA9JY","QDVgd2eftb"],"dependent_operators":["DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","EBcxylXtPf","QMFrweE19q","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","D4vGDi5EA2","t8gj7n24qd","2DDjHMKMc0","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3960","layer":4},{"info":"number node, value=1744","layer":4},{"info":"compute binary expreesion, left_input=3960, right_input=1744, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-152","layer":3},{"info":"compute unary expreesion, input=-152, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=7069","layer":2},{"info":"number node, value=1303","layer":4},{"info":"compute unary expreesion, input=1303, op_id = iuk5sVOGFA, unary_op_definition = 'a⪣⫩ = { ((a⋥≓≎a)⋷(a+a)) , if a>=275 ; ((a∲⫓a)≧⫂∧(⪲⇎693)) , else }', output=3876","layer":3},{"info":"number node, value=2133","layer":4},{"info":"number node, value=1174","layer":4},{"info":"compute binary expreesion, left_input=2133, right_input=1174, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3876, right_input=nan, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=7069, right_input=nan, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=nan","layer":1},{"info":"number node, value=4284","layer":4},{"info":"compute unary expreesion, input=4284, op_id = nFAOW8KTqp, unary_op_definition = 'a∷ = { ((-(a⋝⋈⪟a))≦≮≮) }', output=12852","layer":3},{"info":"number node, value=2058","layer":4},{"info":"number node, value=2882","layer":4},{"info":"compute binary expreesion, left_input=2058, right_input=2882, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=14742","layer":3},{"info":"compute binary expreesion, left_input=12852, right_input=14742, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":2},{"info":"number node, value=1567","layer":4},{"info":"number node, value=8805","layer":4},{"info":"compute binary expreesion, left_input=1567, right_input=8805, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=3134","layer":3},{"info":"number node, value=1460","layer":4},{"info":"number node, value=5647","layer":4},{"info":"compute binary expreesion, left_input=1460, right_input=5647, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=3134, right_input=0, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=-160901","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-160901, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=644393","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=644393, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≅≯⇸≴∭⊉14355⊹∫⫚≴∭⊉5041)⪚((≴∭⊉3541⪣⫩)⫢⨠≴∭⊉6135⨼⩣≴∭⊉3265)⪇≇⋚((≴∭⊉15330∷)⇄≴∭⊉6000⩖⊿≴∭⊉11255⪨⊡((≴∭⊉4366⋻⩜⩜≴∭⊉34446)≓∲≴∭⊉4154⊮⊟↴≴∭⊉22315))=NaN","reverse_text":"NaN=(≅≯⇸≴∭⊉14355⊹∫⫚≴∭⊉5041)⪚((≴∭⊉3541⪣⫩)⫢⨠≴∭⊉6135⨼⩣≴∭⊉3265)⪇≇⋚((≴∭⊉15330∷)⇄≴∭⊉6000⩖⊿≴∭⊉11255⪨⊡((≴∭⊉4366⋻⩜⩜≴∭⊉34446)≓∲≴∭⊉4154⊮⊟↴≴∭⊉22315))","cot":[{"info":"≴∭⊉14355⊹∫⫚≴∭⊉5041=≴∭⊉-305","layer":3},{"info":"≅≯⇸≴∭⊉-305=≴∭⊉26416","layer":2},{"info":"≴∭⊉3541⪣⫩=≴∭⊉14205","layer":3},{"info":"≴∭⊉6135⨼⩣≴∭⊉3265=NaN","layer":3},{"info":"≴∭⊉14205⫢⨠NaN=NaN","layer":2},{"info":"≴∭⊉26416⪚NaN=NaN","layer":1},{"info":"≴∭⊉15330∷=≴∭⊉52320","layer":3},{"info":"≴∭⊉6000⩖⊿≴∭⊉11255=≴∭⊉60660","layer":3},{"info":"≴∭⊉52320⇄≴∭⊉60660=≴∭⊉0","layer":2},{"info":"≴∭⊉4366⋻⩜⩜≴∭⊉34446=≴∭⊉12065","layer":3},{"info":"≴∭⊉4154⊮⊟↴≴∭⊉22315=≴∭⊉0","layer":3},{"info":"≴∭⊉12065≓∲≴∭⊉0=≴∭⊉-1240046","layer":2},{"info":"≴∭⊉0⪨⊡≴∭⊉-1240046=≴∭⊉5322461","layer":1},{"info":"NaN⪇≇⋚≴∭⊉5322461=NaN","layer":0}]}
+{"id":549,"expression_no_base_symbol":"((≦∁$7244$)⩍⋽⫝̸($2365$⨱∎)∼($9277$↳≱$3811$⋓(⨆≐≲$3810$)))⇍⊗((⇾⩊⇾$5548$)≚⊃≕$4997$⨐$1220$≒∊((⨙⪌$4760$)⫰⋱(∂$3246$)))","expression":"((≦∁≴∭⊉30056)⩍⋽⫝̸(≴∭⊉6616⨱∎)∼(≴∭⊉36022↳≱≴∭⊉14053⋓(⨆≐≲≴∭⊉14052)))⇍⊗((⇾⩊⇾≴∭⊉22114)≚⊃≕≴∭⊉20366⨐≴∭⊉3362≒∊((⨙⪌≴∭⊉16610)⫰⋱(∂≴∭⊉12315)))","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":1254,"operation_count":15,"complexity_ratio":83.6,"tree":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":7244,"base":7}},"right_expr":{"type":"unary","operator":"⨱∎","unary_expr":{"type":"numeric_atoms","value":2365,"base":7}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":9277,"base":7},"right_expr":{"type":"numeric_atoms","value":3811,"base":7}},"right_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"numeric_atoms","value":3810,"base":7}}}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"numeric_atoms","value":5548,"base":7}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":4997,"base":7},"right_expr":{"type":"numeric_atoms","value":1220,"base":7}}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"numeric_atoms","value":4760,"base":7}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":3246,"base":7}}}}},"used_operators":["5uvYHDjeKN","DyGG3AbaNP","BiWNJpBvwn","9ICcGScMcE","MmTdOpaElr","T2fj7uvVaJ","JwTKLfZU96","Bi9z9uYZqW","5KTvxBwnZo","Bmrmz2XGnR","bx9Z9DAK5y","Noe24qw2ks","6o9Blt3TJ6","vEGLkm4Z2k","Uaa54Peajs"],"dependent_operators":["Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","Ph9nP6C5qx","xUOZtlo3hN","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","tifHPKVTfV","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=7244","layer":4},{"info":"compute unary expreesion, input=7244, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=7244","layer":3},{"info":"number node, value=2365","layer":4},{"info":"compute unary expreesion, input=2365, op_id = MmTdOpaElr, unary_op_definition = 'a⨱∎ = { (a⇼⇔∾a) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=7244, right_input=0, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=-209","layer":2},{"info":"number node, value=9277","layer":4},{"info":"number node, value=3811","layer":4},{"info":"compute binary expreesion, left_input=9277, right_input=3811, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"number node, value=3810","layer":4},{"info":"compute unary expreesion, input=3810, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=41363160","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=41363160, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-209, right_input=0, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=20","layer":1},{"info":"number node, value=5548","layer":4},{"info":"compute unary expreesion, input=5548, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-56418","layer":3},{"info":"number node, value=4997","layer":4},{"info":"number node, value=1220","layer":4},{"info":"compute binary expreesion, left_input=4997, right_input=1220, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-9994","layer":3},{"info":"compute binary expreesion, left_input=-56418, right_input=-9994, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=-245826","layer":2},{"info":"number node, value=4760","layer":4},{"info":"compute unary expreesion, input=4760, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":3},{"info":"number node, value=3246","layer":4},{"info":"compute unary expreesion, input=3246, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=nan, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-245826, right_input=nan, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=20, right_input=nan, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((≦∁≴∭⊉30056)⩍⋽⫝̸(≴∭⊉6616⨱∎)∼(≴∭⊉36022↳≱≴∭⊉14053⋓(⨆≐≲≴∭⊉14052)))⇍⊗((⇾⩊⇾≴∭⊉22114)≚⊃≕≴∭⊉20366⨐≴∭⊉3362≒∊((⨙⪌≴∭⊉16610)⫰⋱(∂≴∭⊉12315)))=NaN","reverse_text":"NaN=((≦∁≴∭⊉30056)⩍⋽⫝̸(≴∭⊉6616⨱∎)∼(≴∭⊉36022↳≱≴∭⊉14053⋓(⨆≐≲≴∭⊉14052)))⇍⊗((⇾⩊⇾≴∭⊉22114)≚⊃≕≴∭⊉20366⨐≴∭⊉3362≒∊((⨙⪌≴∭⊉16610)⫰⋱(∂≴∭⊉12315)))","cot":[{"info":"≦∁≴∭⊉30056=≴∭⊉30056","layer":3},{"info":"≴∭⊉6616⨱∎=≴∭⊉0","layer":3},{"info":"≴∭⊉30056⩍⋽⫝̸≴∭⊉0=≴∭⊉-416","layer":2},{"info":"≴∭⊉36022↳≱≴∭⊉14053=≴∭⊉0","layer":3},{"info":"⨆≐≲≴∭⊉14052=≴∭⊉1011403206","layer":3},{"info":"≴∭⊉0⋓≴∭⊉1011403206=≴∭⊉0","layer":2},{"info":"≴∭⊉-416∼≴∭⊉0=≴∭⊉26","layer":1},{"info":"⇾⩊⇾≴∭⊉22114=≴∭⊉-323325","layer":3},{"info":"≴∭⊉20366⨐≴∭⊉3362=≴∭⊉-41065","layer":3},{"info":"≴∭⊉-323325≚⊃≕≴∭⊉-41065=≴∭⊉-2042460","layer":2},{"info":"⨙⪌≴∭⊉16610=≴∭⊉2350","layer":3},{"info":"∂≴∭⊉12315=NaN","layer":3},{"info":"≴∭⊉2350⫰⋱NaN=NaN","layer":2},{"info":"≴∭⊉-2042460≒∊NaN=NaN","layer":1},{"info":"≴∭⊉26⇍⊗NaN=NaN","layer":0}]}
+{"id":550,"expression_no_base_symbol":"(↔($1248$↢$1007$⩧⪆$7290$≠≀$1207$))⇡⇂(($6541$⊴⇁⪶)⊬⨰$1376$∘$2830$⨸⪁(≻⋜$1475$)⋣⋖(⋗⩴⪓$7180$))","expression":"(↔(≴∭⊉3432↢≴∭⊉2636⩧⪆≴∭⊉30153≠≀≴∭⊉3343))⇡⇂((≴∭⊉25033⊴⇁⪶)⊬⨰≴∭⊉4004∘≴∭⊉11152⨸⪁(≻⋜≴∭⊉4205)⋣⋖(⋗⩴⪓≴∭⊉26635))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":20959,"operation_count":12,"complexity_ratio":1746.5833333333333,"tree":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":1248,"base":7},"right_expr":{"type":"numeric_atoms","value":1007,"base":7}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":7290,"base":7},"right_expr":{"type":"numeric_atoms","value":1207,"base":7}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"unary","operator":"⊴⇁⪶","unary_expr":{"type":"numeric_atoms","value":6541,"base":7}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":1376,"base":7},"right_expr":{"type":"numeric_atoms","value":2830,"base":7}}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"numeric_atoms","value":1475,"base":7}},"right_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"numeric_atoms","value":7180,"base":7}}}}},"used_operators":["UMwdvZNt44","ruOEQAzv1W","Ikt5ks8PT7","WR6HLWljOP","IwW236VD4Y","g55IO6H4Gj","s3Fd5m9Dh2","oo9mF6JIpo","Z5m6OM72h2","J0M6qkBnIM","3tj9sqzovi","nOKPl9n5zu"],"dependent_operators":["9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","eewbuw0ToL","t8gj7n24qd","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","W4YGzv6Whe","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","L05ObWFQCd","oacrs7FA3X","2Wsdkap16l","zR4jO40bMj","HrjLwUk87U","YSKBFp38Pu","cHh1gJQ2o6","tmPS8pqC7x","YbVcJGFEVW","12rbrZMWeM","DmTXOeWf9t","RhiyfpczSx","uOZ1tnYMDE","eH2TOUuTDT","rysDP5nf3Z","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1248","layer":4},{"info":"number node, value=1007","layer":4},{"info":"compute binary expreesion, left_input=1248, right_input=1007, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=764","layer":3},{"info":"number node, value=7290","layer":4},{"info":"number node, value=1207","layer":4},{"info":"compute binary expreesion, left_input=7290, right_input=1207, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-14274","layer":3},{"info":"compute binary expreesion, left_input=764, right_input=-14274, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=14274","layer":2},{"info":"compute unary expreesion, input=14274, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-14001","layer":1},{"info":"number node, value=6541","layer":4},{"info":"compute unary expreesion, input=6541, op_id = oo9mF6JIpo, unary_op_definition = 'a⊴⇁⪶ = { (⊗((157⇤a)⋳⪒(a⨪↰⇹a))) , if ((a⪶≀⋏180)>=510 or (a⩘665)!=249) ; (((a⪍↜⋙a)≃(a⪚343))⪘⫢((a⩹a)⊲⩕⊾(⩏⊷≩a))) , else }', output=136224","layer":3},{"info":"number node, value=1376","layer":4},{"info":"number node, value=2830","layer":4},{"info":"compute binary expreesion, left_input=1376, right_input=2830, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=2752","layer":3},{"info":"compute binary expreesion, left_input=136224, right_input=2752, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=146176","layer":2},{"info":"number node, value=1475","layer":4},{"info":"compute unary expreesion, input=1475, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":3},{"info":"number node, value=7180","layer":4},{"info":"compute unary expreesion, input=7180, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=-6267","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-6267, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=146176, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-14001, right_input=nan, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(↔(≴∭⊉3432↢≴∭⊉2636⩧⪆≴∭⊉30153≠≀≴∭⊉3343))⇡⇂((≴∭⊉25033⊴⇁⪶)⊬⨰≴∭⊉4004∘≴∭⊉11152⨸⪁(≻⋜≴∭⊉4205)⋣⋖(⋗⩴⪓≴∭⊉26635))=NaN","reverse_text":"NaN=(↔(≴∭⊉3432↢≴∭⊉2636⩧⪆≴∭⊉30153≠≀≴∭⊉3343))⇡⇂((≴∭⊉25033⊴⇁⪶)⊬⨰≴∭⊉4004∘≴∭⊉11152⨸⪁(≻⋜≴∭⊉4205)⋣⋖(⋗⩴⪓≴∭⊉26635))","cot":[{"info":"≴∭⊉3432↢≴∭⊉2636=≴∭⊉2141","layer":3},{"info":"≴∭⊉30153≠≀≴∭⊉3343=≴∭⊉-56421","layer":3},{"info":"≴∭⊉2141⩧⪆≴∭⊉-56421=≴∭⊉56421","layer":2},{"info":"↔≴∭⊉56421=≴∭⊉-55551","layer":1},{"info":"≴∭⊉25033⊴⇁⪶=≴∭⊉1105104","layer":3},{"info":"≴∭⊉4004∘≴∭⊉11152=≴∭⊉11011","layer":3},{"info":"≴∭⊉1105104⊬⨰≴∭⊉11011=≴∭⊉1146112","layer":2},{"info":"≻⋜≴∭⊉4205=NaN","layer":3},{"info":"⋗⩴⪓≴∭⊉26635=≴∭⊉-24162","layer":3},{"info":"NaN⋣⋖≴∭⊉-24162=NaN","layer":2},{"info":"≴∭⊉1146112⨸⪁NaN=NaN","layer":1},{"info":"≴∭⊉-55551⇡⇂NaN=NaN","layer":0}]}
+{"id":551,"expression_no_base_symbol":"((⨛$6097$⨭⪣$4401$)⫸⊐($3279$∝$1836$)⪢(∡$3421$))⊵↤","expression":"((⨛≴∭⊉23530⨭⪣≴∭⊉15555)⫸⊐(≴∭⊉12363∝≴∭⊉5232)⪢(∡≴∭⊉12655))⊵↤","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":4493,"operation_count":7,"complexity_ratio":641.8571428571429,"tree":{"type":"unary","operator":"⊵↤","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":6097,"base":7},"right_expr":{"type":"numeric_atoms","value":4401,"base":7}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":3279,"base":7},"right_expr":{"type":"numeric_atoms","value":1836,"base":7}},"right_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"numeric_atoms","value":3421,"base":7}}}}},"used_operators":["7IPrd9c3lf","mqXw5SEYmG","CoMdbyAt7R","kn8WO9XteQ","dWAJyo7jo9","cTDWOvIxvz","pRsWfj4Fpp"],"dependent_operators":["eLAdDNolq6","W4YGzv6Whe","9FxExcQeMw","Qy55tPpLXF","BjRHVeLaeN","tifHPKVTfV","2DDjHMKMc0","f6k1SAg4EE","Z2TMIBDE3Q","eewbuw0ToL","QMFrweE19q","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","k8jYdgA6NY","7j4O788W3g","W4YGzv6Whe","COABgblf1C","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0"],"result":"≴∭⊉124","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6097","layer":4},{"info":"number node, value=4401","layer":4},{"info":"compute binary expreesion, left_input=6097, right_input=4401, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=4818","layer":3},{"info":"compute unary expreesion, input=4818, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":2},{"info":"number node, value=3279","layer":4},{"info":"number node, value=1836","layer":4},{"info":"compute binary expreesion, left_input=3279, right_input=1836, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=3284","layer":3},{"info":"number node, value=3421","layer":4},{"info":"compute unary expreesion, input=3421, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=-3421","layer":3},{"info":"compute binary expreesion, left_input=3284, right_input=-3421, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 7IPrd9c3lf, unary_op_definition = 'a⊵↤ = { (((a⪒a)+a)⇼⇔∾((a⫡⨏a)⩤)) , if (a!=425 and (≤/a)>523) ; (((a⫩⊇)⨰(a⋥≓≎a))⋥≓≎((a⩷∴a)⋝⋈⪟(a⩷∴a))) , else }', output=67","layer":0}],"base":7,"result_base":7,"text":"((⨛≴∭⊉23530⨭⪣≴∭⊉15555)⫸⊐(≴∭⊉12363∝≴∭⊉5232)⪢(∡≴∭⊉12655))⊵↤=≴∭⊉124","reverse_text":"≴∭⊉124=((⨛≴∭⊉23530⨭⪣≴∭⊉15555)⫸⊐(≴∭⊉12363∝≴∭⊉5232)⪢(∡≴∭⊉12655))⊵↤","cot":[{"info":"≴∭⊉23530⨭⪣≴∭⊉15555=≴∭⊉20022","layer":3},{"info":"⨛≴∭⊉20022=NaN","layer":2},{"info":"≴∭⊉12363∝≴∭⊉5232=≴∭⊉12401","layer":3},{"info":"∡≴∭⊉12655=≴∭⊉-12655","layer":3},{"info":"≴∭⊉12401⪢≴∭⊉-12655=NaN","layer":2},{"info":"NaN⫸⊐NaN=NaN","layer":1},{"info":"NaN⊵↤=≴∭⊉124","layer":0}]}
+{"id":552,"expression_no_base_symbol":"((⊆⋠$3481$⨔⇊$1836$)⫣⪄⊒(($4555$⨵⪆$2185$)⩒⫫(⇜⊴$2015$)))⪟⇏((($3545$⩨$7503$)↯⫤)⨸⪁($3501$⇮⋭$3670$)⫲≸⪮$1365$∴$1275$)","expression":"((⊆⋠≴∭⊉13102⨔⇊≴∭⊉5232)⫣⪄⊒((≴∭⊉16165⨵⪆≴∭⊉6241)⩒⫫(⇜⊴≴∭⊉5606)))⪟⇏(((≴∭⊉13223⩨≴∭⊉30606)↯⫤)⨸⪁(≴∭⊉13131⇮⋭≴∭⊉13462)⫲≸⪮≴∭⊉3660∴≴∭⊉3501)","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":764,"operation_count":13,"complexity_ratio":58.76923076923077,"tree":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":3481,"base":7},"right_expr":{"type":"numeric_atoms","value":1836,"base":7}}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":4555,"base":7},"right_expr":{"type":"numeric_atoms","value":2185,"base":7}},"right_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"numeric_atoms","value":2015,"base":7}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"↯⫤","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3545,"base":7},"right_expr":{"type":"numeric_atoms","value":7503,"base":7}}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":3501,"base":7},"right_expr":{"type":"numeric_atoms","value":3670,"base":7}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":1365,"base":7},"right_expr":{"type":"numeric_atoms","value":1275,"base":7}}}}},"used_operators":["GODebY97qR","RabNbG55vr","EBhcHTkKd8","JclMnS0uGI","KFSx94NKJn","2DQ55sFlQl","XwDhCwWbUn","g55IO6H4Gj","VwlE7vj6HS","2DlMacCsIx","P3lXMJvFrc","vkpjKywKVM","hrf7POJlIJ"],"dependent_operators":["gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","W4YGzv6Whe","W4YGzv6Whe","23Mk6UjR3U","tifHPKVTfV","glklzrTFfD","eH2TOUuTDT","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","g55IO6H4Gj","nCS4ZIUYfx","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3481","layer":4},{"info":"number node, value=1836","layer":4},{"info":"compute binary expreesion, left_input=3481, right_input=1836, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=1836","layer":3},{"info":"compute unary expreesion, input=1836, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=0","layer":2},{"info":"number node, value=4555","layer":4},{"info":"number node, value=2185","layer":4},{"info":"compute binary expreesion, left_input=4555, right_input=2185, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=2015","layer":4},{"info":"compute unary expreesion, input=2015, op_id = XwDhCwWbUn, unary_op_definition = '⇜⊴a = { (↩(∓⪦(a≃a))) , if ((a∐⫣)>271 and (a∴779)<=132) ; ((a↢(a⨔⇊a))⊲⩕⊾((a∝a)⊉↱≁(a⊭↱19))) , else }', output=-461826","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-461826, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=-142","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-142, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=160","layer":1},{"info":"number node, value=3545","layer":4},{"info":"number node, value=7503","layer":4},{"info":"compute binary expreesion, left_input=3545, right_input=7503, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-6","layer":3},{"info":"compute unary expreesion, input=-6, op_id = VwlE7vj6HS, unary_op_definition = 'a↯⫤ = { (((-a)⋝⋈⪟(a⨳⩥⨓a))⨸⪁((a⨁⊸⫻)⇼⇔∾(a+a))) , if (a⋷221)!=277 ; (((300⪐)⨁⊸⫻)⇼⇔∾(a≧⫂∧(26≧⫂∧87))) , else }', output=12","layer":2},{"info":"number node, value=3501","layer":4},{"info":"number node, value=3670","layer":4},{"info":"compute binary expreesion, left_input=3501, right_input=3670, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"number node, value=1365","layer":4},{"info":"number node, value=1275","layer":4},{"info":"compute binary expreesion, left_input=1365, right_input=1275, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=4378","layer":3},{"info":"compute binary expreesion, left_input=-473, right_input=4378, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=473","layer":2},{"info":"compute binary expreesion, left_input=12, right_input=473, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=970","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=970, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=0","layer":0}],"base":7,"result_base":7,"text":"((⊆⋠≴∭⊉13102⨔⇊≴∭⊉5232)⫣⪄⊒((≴∭⊉16165⨵⪆≴∭⊉6241)⩒⫫(⇜⊴≴∭⊉5606)))⪟⇏(((≴∭⊉13223⩨≴∭⊉30606)↯⫤)⨸⪁(≴∭⊉13131⇮⋭≴∭⊉13462)⫲≸⪮≴∭⊉3660∴≴∭⊉3501)=≴∭⊉0","reverse_text":"≴∭⊉0=((⊆⋠≴∭⊉13102⨔⇊≴∭⊉5232)⫣⪄⊒((≴∭⊉16165⨵⪆≴∭⊉6241)⩒⫫(⇜⊴≴∭⊉5606)))⪟⇏(((≴∭⊉13223⩨≴∭⊉30606)↯⫤)⨸⪁(≴∭⊉13131⇮⋭≴∭⊉13462)⫲≸⪮≴∭⊉3660∴≴∭⊉3501)","cot":[{"info":"≴∭⊉13102⨔⇊≴∭⊉5232=≴∭⊉5232","layer":3},{"info":"⊆⋠≴∭⊉5232=≴∭⊉0","layer":2},{"info":"≴∭⊉16165⨵⪆≴∭⊉6241=≴∭⊉316","layer":3},{"info":"⇜⊴≴∭⊉5606=≴∭⊉-3632301","layer":3},{"info":"≴∭⊉316⩒⫫≴∭⊉-3632301=≴∭⊉-262","layer":2},{"info":"≴∭⊉0⫣⪄⊒≴∭⊉-262=≴∭⊉316","layer":1},{"info":"≴∭⊉13223⩨≴∭⊉30606=≴∭⊉-6","layer":3},{"info":"≴∭⊉-6↯⫤=≴∭⊉15","layer":2},{"info":"≴∭⊉13131⇮⋭≴∭⊉13462=≴∭⊉-1244","layer":3},{"info":"≴∭⊉3660∴≴∭⊉3501=≴∭⊉15523","layer":3},{"info":"≴∭⊉-1244⫲≸⪮≴∭⊉15523=≴∭⊉1244","layer":2},{"info":"≴∭⊉15⨸⪁≴∭⊉1244=≴∭⊉2554","layer":1},{"info":"≴∭⊉316⪟⇏≴∭⊉2554=≴∭⊉0","layer":0}]}
+{"id":553,"expression_no_base_symbol":"(⊬↢($4863$⩵∡$3481$))≚⊃≕(($6179$≫≃)≧⫂∧$3646$⪃⊛⇣$1678$)⩨((⪛⨧($1338$⋻⩜⩜$2614$))∙∹∝($3559$∧)⋥≓≎$3933$⊴$2090$)","expression":"(⊬↢(≴∭⊉20115⩵∡≴∭⊉13102))≚⊃≕((≴∭⊉24005≫≃)≧⫂∧≴∭⊉13426⪃⊛⇣≴∭⊉4615)⩨((⪛⨧(≴∭⊉3621⋻⩜⩜≴∭⊉10423))∙∹∝(≴∭⊉13243∧)⋥≓≎≴∭⊉14316⊴≴∭⊉6044)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":42108,"operation_count":13,"complexity_ratio":3239.076923076923,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":4863,"base":7},"right_expr":{"type":"numeric_atoms","value":3481,"base":7}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":6179,"base":7}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":3646,"base":7},"right_expr":{"type":"numeric_atoms","value":1678,"base":7}}}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":1338,"base":7},"right_expr":{"type":"numeric_atoms","value":2614,"base":7}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":3559,"base":7}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3933,"base":7},"right_expr":{"type":"numeric_atoms","value":2090,"base":7}}}}},"used_operators":["2DlMacCsIx","Bmrmz2XGnR","WPoGxAaPR1","Y7wcNGrDQJ","Ph9nP6C5qx","X99M06cbEe","rrgAzCduG9","HmxsFra2vL","6NJAcO2OWT","oDCm7WA9JY","Qy55tPpLXF","z63VuFQld9","Nsiff2A1zJ"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","NTOWxs364D","glklzrTFfD","tifHPKVTfV","rysDP5nf3Z","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","dWAJyo7jo9","14qkJME0vr"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4863","layer":4},{"info":"number node, value=3481","layer":4},{"info":"compute binary expreesion, left_input=4863, right_input=3481, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-6366","layer":3},{"info":"compute unary expreesion, input=-6366, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=-55","layer":2},{"info":"number node, value=6179","layer":4},{"info":"compute unary expreesion, input=6179, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=13759","layer":3},{"info":"number node, value=3646","layer":4},{"info":"number node, value=1678","layer":4},{"info":"compute binary expreesion, left_input=3646, right_input=1678, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=13759, right_input=1234, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=761","layer":2},{"info":"compute binary expreesion, left_input=-55, right_input=761, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=-5889","layer":1},{"info":"number node, value=1338","layer":4},{"info":"number node, value=2614","layer":4},{"info":"compute binary expreesion, left_input=1338, right_input=2614, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=2676","layer":3},{"info":"compute unary expreesion, input=2676, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=6753","layer":2},{"info":"number node, value=3559","layer":4},{"info":"compute unary expreesion, input=3559, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":3},{"info":"number node, value=3933","layer":4},{"info":"number node, value=2090","layer":4},{"info":"compute binary expreesion, left_input=3933, right_input=2090, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=6753, right_input=67, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-5889, right_input=0, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":0}],"base":7,"result_base":7,"text":"(⊬↢(≴∭⊉20115⩵∡≴∭⊉13102))≚⊃≕((≴∭⊉24005≫≃)≧⫂∧≴∭⊉13426⪃⊛⇣≴∭⊉4615)⩨((⪛⨧(≴∭⊉3621⋻⩜⩜≴∭⊉10423))∙∹∝(≴∭⊉13243∧)⋥≓≎≴∭⊉14316⊴≴∭⊉6044)=≴∭⊉0","reverse_text":"≴∭⊉0=(⊬↢(≴∭⊉20115⩵∡≴∭⊉13102))≚⊃≕((≴∭⊉24005≫≃)≧⫂∧≴∭⊉13426⪃⊛⇣≴∭⊉4615)⩨((⪛⨧(≴∭⊉3621⋻⩜⩜≴∭⊉10423))∙∹∝(≴∭⊉13243∧)⋥≓≎≴∭⊉14316⊴≴∭⊉6044)","cot":[{"info":"≴∭⊉20115⩵∡≴∭⊉13102=≴∭⊉-24363","layer":3},{"info":"⊬↢≴∭⊉-24363=≴∭⊉-106","layer":2},{"info":"≴∭⊉24005≫≃=≴∭⊉55054","layer":3},{"info":"≴∭⊉13426⪃⊛⇣≴∭⊉4615=≴∭⊉3412","layer":3},{"info":"≴∭⊉55054≧⫂∧≴∭⊉3412=≴∭⊉2135","layer":2},{"info":"≴∭⊉-106≚⊃≕≴∭⊉2135=≴∭⊉-23112","layer":1},{"info":"≴∭⊉3621⋻⩜⩜≴∭⊉10423=≴∭⊉10542","layer":3},{"info":"⪛⨧≴∭⊉10542=≴∭⊉25455","layer":2},{"info":"≴∭⊉13243∧=NaN","layer":3},{"info":"≴∭⊉14316⊴≴∭⊉6044=NaN","layer":3},{"info":"NaN⋥≓≎NaN=≴∭⊉124","layer":2},{"info":"≴∭⊉25455∙∹∝≴∭⊉124=≴∭⊉0","layer":1},{"info":"≴∭⊉-23112⩨≴∭⊉0=≴∭⊉0","layer":0}]}
+{"id":554,"expression_no_base_symbol":"($3564$∷$3973$)⫘($5330$⪬∳)∇⊂⋱(($1039$↸$1245$)↯⫤)⊝⪿⪼(∟⋨$6181$∴$3100$)⩌⋺(⇙⪊($1167$≒∊$3639$))","expression":"(≴∭⊉13251∷≴∭⊉14404)⫘(≴∭⊉21353⪬∳)∇⊂⋱((≴∭⊉3013↸≴∭⊉3426)↯⫤)⊝⪿⪼(∟⋨≴∭⊉24010∴≴∭⊉12016)⩌⋺(⇙⪊(≴∭⊉3255≒∊≴∭⊉13416))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":35461,"operation_count":12,"complexity_ratio":2955.0833333333335,"tree":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":3564,"base":7},"right_expr":{"type":"numeric_atoms","value":3973,"base":7}},"right_expr":{"type":"unary","operator":"⪬∳","unary_expr":{"type":"numeric_atoms","value":5330,"base":7}}},"right_expr":{"type":"unary","operator":"↯⫤","unary_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":1039,"base":7},"right_expr":{"type":"numeric_atoms","value":1245,"base":7}}}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":6181,"base":7},"right_expr":{"type":"numeric_atoms","value":3100,"base":7}}},"right_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":1167,"base":7},"right_expr":{"type":"numeric_atoms","value":3639,"base":7}}}}},"used_operators":["3Oe9XWJUTD","nhYeJWJD5X","48vC8HMD2b","D3AQDKkPcf","O9U3z1385E","VwlE7vj6HS","1eCjFl0mb9","g7Hmc5v1ko","ctOc4cKSDt","hrf7POJlIJ","pB6Fcnrjim","5KTvxBwnZo"],"dependent_operators":["NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","9FxExcQeMw","NTOWxs364D","7j4O788W3g","FU0Cs4j7VP","ukq6epAj5P","k7HXdKtiEU","zVYPLywUTj","LYeZOJ0nQG","kuIXHzHcAH","tcjXMdvYtA","W4YGzv6Whe","23Mk6UjR3U","tifHPKVTfV","glklzrTFfD","eH2TOUuTDT","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","g55IO6H4Gj","nCS4ZIUYfx","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","eLAdDNolq6","tmPS8pqC7x","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl"],"result":"≴∭⊉3004214215","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3564","layer":4},{"info":"number node, value=3973","layer":4},{"info":"compute binary expreesion, left_input=3564, right_input=3973, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=3973","layer":3},{"info":"number node, value=5330","layer":4},{"info":"compute unary expreesion, input=5330, op_id = O9U3z1385E, unary_op_definition = 'a⪬∳ = { ((a∋a)⊪) , if ((a⪨⊡684)!=357 and (≘a)<480 and (⊲⪭a)>=673) ; (⫎≠⋺(a↛⩡⫤)) , else }', output=-709","layer":3},{"info":"compute binary expreesion, left_input=3973, right_input=-709, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=4676653","layer":2},{"info":"number node, value=1039","layer":4},{"info":"number node, value=1245","layer":4},{"info":"compute binary expreesion, left_input=1039, right_input=1245, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=1039","layer":3},{"info":"compute unary expreesion, input=1039, op_id = VwlE7vj6HS, unary_op_definition = 'a↯⫤ = { (((-a)⋝⋈⪟(a⨳⩥⨓a))⨸⪁((a⨁⊸⫻)⇼⇔∾(a+a))) , if (a⋷221)!=277 ; (((300⪐)⨁⊸⫻)⇼⇔∾(a≧⫂∧(26≧⫂∧87))) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=4676653, right_input=0, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=9352760","layer":1},{"info":"number node, value=6181","layer":4},{"info":"number node, value=3100","layer":4},{"info":"compute binary expreesion, left_input=6181, right_input=3100, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=14010","layer":3},{"info":"compute unary expreesion, input=14010, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-13526","layer":2},{"info":"number node, value=1167","layer":4},{"info":"number node, value=3639","layer":4},{"info":"compute binary expreesion, left_input=1167, right_input=3639, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-683","layer":3},{"info":"compute unary expreesion, input=-683, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-13526, right_input=0, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=13405","layer":1},{"info":"compute binary expreesion, left_input=9352760, right_input=13405, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=121568914","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉13251∷≴∭⊉14404)⫘(≴∭⊉21353⪬∳)∇⊂⋱((≴∭⊉3013↸≴∭⊉3426)↯⫤)⊝⪿⪼(∟⋨≴∭⊉24010∴≴∭⊉12016)⩌⋺(⇙⪊(≴∭⊉3255≒∊≴∭⊉13416))=≴∭⊉3004214215","reverse_text":"≴∭⊉3004214215=(≴∭⊉13251∷≴∭⊉14404)⫘(≴∭⊉21353⪬∳)∇⊂⋱((≴∭⊉3013↸≴∭⊉3426)↯⫤)⊝⪿⪼(∟⋨≴∭⊉24010∴≴∭⊉12016)⩌⋺(⇙⪊(≴∭⊉3255≒∊≴∭⊉13416))","cot":[{"info":"≴∭⊉13251∷≴∭⊉14404=≴∭⊉14404","layer":3},{"info":"≴∭⊉21353⪬∳=≴∭⊉-2032","layer":3},{"info":"≴∭⊉14404⫘≴∭⊉-2032=≴∭⊉54515362","layer":2},{"info":"≴∭⊉3013↸≴∭⊉3426=≴∭⊉3013","layer":3},{"info":"≴∭⊉3013↯⫤=≴∭⊉0","layer":2},{"info":"≴∭⊉54515362∇⊂⋱≴∭⊉0=≴∭⊉142332344","layer":1},{"info":"≴∭⊉24010∴≴∭⊉12016=≴∭⊉55563","layer":3},{"info":"∟⋨≴∭⊉55563=≴∭⊉-54302","layer":2},{"info":"≴∭⊉3255≒∊≴∭⊉13416=≴∭⊉-1664","layer":3},{"info":"⇙⪊≴∭⊉-1664=≴∭⊉0","layer":2},{"info":"≴∭⊉-54302⩌⋺≴∭⊉0=≴∭⊉54040","layer":1},{"info":"≴∭⊉142332344⊝⪿⪼≴∭⊉54040=≴∭⊉3004214215","layer":0}]}
+{"id":555,"expression_no_base_symbol":"≑⋹(((⪡⇡≛$5503$)⊠≄⫣)∠⫱(↯⪼$2805$⨚$1702$))","expression":"≑⋹(((⪡⇡≛≴∭⊉22021)⊠≄⫣)∠⫱(↯⪼≴∭⊉11115⨚≴∭⊉4651))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":411,"operation_count":6,"complexity_ratio":68.5,"tree":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"numeric_atoms","value":5503,"base":7}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":2805,"base":7},"right_expr":{"type":"numeric_atoms","value":1702,"base":7}}}}},"used_operators":["6B9nyZLogK","QvoQhV0rrE","DIvbN7qnHd","qL4PrbW1Dq","8jW3W4yZS5","nREPSIbpBE"],"dependent_operators":["aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","BjRHVeLaeN","12rbrZMWeM"],"result":"≴∭⊉-2044","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5503","layer":4},{"info":"compute unary expreesion, input=5503, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-5503","layer":3},{"info":"compute unary expreesion, input=-5503, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":2},{"info":"number node, value=2805","layer":4},{"info":"number node, value=1702","layer":4},{"info":"compute binary expreesion, left_input=2805, right_input=1702, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-264","layer":3},{"info":"compute unary expreesion, input=-264, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-21, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=21","layer":1},{"info":"compute unary expreesion, input=21, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=-718","layer":0}],"base":7,"result_base":7,"text":"≑⋹(((⪡⇡≛≴∭⊉22021)⊠≄⫣)∠⫱(↯⪼≴∭⊉11115⨚≴∭⊉4651))=≴∭⊉-2044","reverse_text":"≴∭⊉-2044=≑⋹(((⪡⇡≛≴∭⊉22021)⊠≄⫣)∠⫱(↯⪼≴∭⊉11115⨚≴∭⊉4651))","cot":[{"info":"⪡⇡≛≴∭⊉22021=≴∭⊉-22021","layer":3},{"info":"≴∭⊉-22021⊠≄⫣=≴∭⊉0","layer":2},{"info":"≴∭⊉11115⨚≴∭⊉4651=≴∭⊉-525","layer":3},{"info":"↯⪼≴∭⊉-525=≴∭⊉-30","layer":2},{"info":"≴∭⊉0∠⫱≴∭⊉-30=≴∭⊉30","layer":1},{"info":"≑⋹≴∭⊉30=≴∭⊉-2044","layer":0}]}
+{"id":556,"expression_no_base_symbol":"≉(($2507$⨐⩸⫘$1257$)⇤($5841$⩹$4544$))⨸(($2717$≦≮≮)⇷$5531$⇷$5299$)","expression":"≉((≴∭⊉10211⨐⩸⫘≴∭⊉3444)⇤(≴∭⊉23013⩹≴∭⊉16151))⨸((≴∭⊉10631≦≮≮)⇷≴∭⊉22061⇷≴∭⊉21310)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":191708,"operation_count":8,"complexity_ratio":23963.5,"tree":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2507,"base":7},"right_expr":{"type":"numeric_atoms","value":1257,"base":7}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":5841,"base":7},"right_expr":{"type":"numeric_atoms","value":4544,"base":7}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":2717,"base":7}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":5531,"base":7},"right_expr":{"type":"numeric_atoms","value":5299,"base":7}}}}},"used_operators":["e1ybzncUwg","KmoU8R5UQR","YSKBFp38Pu","fu6greOZ01","2Wsdkap16l","mp7IySMOzn","D4vGDi5EA2"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","3ViojmjbAp","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2507","layer":4},{"info":"number node, value=1257","layer":4},{"info":"compute binary expreesion, left_input=2507, right_input=1257, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=5841","layer":4},{"info":"number node, value=4544","layer":4},{"info":"compute binary expreesion, left_input=5841, right_input=4544, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=4542","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4542, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=nan","layer":2},{"info":"number node, value=2717","layer":4},{"info":"compute unary expreesion, input=2717, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-8151","layer":3},{"info":"number node, value=5531","layer":4},{"info":"number node, value=5299","layer":4},{"info":"compute binary expreesion, left_input=5531, right_input=5299, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=10598","layer":3},{"info":"compute binary expreesion, left_input=-8151, right_input=10598, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=21196","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=21196, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"≉((≴∭⊉10211⨐⩸⫘≴∭⊉3444)⇤(≴∭⊉23013⩹≴∭⊉16151))⨸((≴∭⊉10631≦≮≮)⇷≴∭⊉22061⇷≴∭⊉21310)=NaN","reverse_text":"NaN=≉((≴∭⊉10211⨐⩸⫘≴∭⊉3444)⇤(≴∭⊉23013⩹≴∭⊉16151))⨸((≴∭⊉10631≦≮≮)⇷≴∭⊉22061⇷≴∭⊉21310)","cot":[{"info":"≴∭⊉10211⨐⩸⫘≴∭⊉3444=NaN","layer":3},{"info":"≴∭⊉23013⩹≴∭⊉16151=≴∭⊉16146","layer":3},{"info":"NaN⇤≴∭⊉16146=NaN","layer":2},{"info":"≴∭⊉10631≦≮≮=≴∭⊉-32523","layer":3},{"info":"≴∭⊉22061⇷≴∭⊉21310=≴∭⊉42620","layer":3},{"info":"≴∭⊉-32523⇷≴∭⊉42620=≴∭⊉115540","layer":2},{"info":"NaN⨸≴∭⊉115540=NaN","layer":1},{"info":"≉NaN=NaN","layer":0}]}
+{"id":557,"expression_no_base_symbol":"(⇘(⨞⊢$1783$↼⊘⨖$4440$))∠↢((↞≼$4762$)≒∊($1642$∷))⩦(($1349$⫚↹⊑$4624$)⨽∌($5399$⇞))","expression":"(⇘(⨞⊢≴∭⊉5125↼⊘⨖≴∭⊉15642))∠↢((↞≼≴∭⊉16612)≒∊(≴∭⊉4534∷))⩦((≴∭⊉3635⫚↹⊑≴∭⊉16324)⨽∌(≴∭⊉21512⇞))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":17849,"operation_count":11,"complexity_ratio":1622.6363636363637,"tree":{"type":"binary","operator":"∠↢","left_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":1783,"base":7},"right_expr":{"type":"numeric_atoms","value":4440,"base":7}}}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"numeric_atoms","value":4762,"base":7}},"right_expr":{"type":"unary","operator":"∷","unary_expr":{"type":"numeric_atoms","value":1642,"base":7}}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":1349,"base":7},"right_expr":{"type":"numeric_atoms","value":4624,"base":7}},"right_expr":{"type":"unary","operator":"⇞","unary_expr":{"type":"numeric_atoms","value":5399,"base":7}}}}},"used_operators":["KbjG8mgYpV","MGuIdZPyUC","xUOZtlo3hN","bPywburJMS","0kmYd0q39Y","5KTvxBwnZo","DE7zCoGJt9","nFAOW8KTqp","9samAPKr6k","dfKe02y8D2","5JYyxRJd4f"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","D4vGDi5EA2","t8gj7n24qd","2DDjHMKMc0","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","9FxExcQeMw","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","QMFrweE19q"],"result":"Inf","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1783","layer":4},{"info":"number node, value=4440","layer":4},{"info":"compute binary expreesion, left_input=1783, right_input=4440, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=8658","layer":3},{"info":"compute unary expreesion, input=8658, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-8832","layer":2},{"info":"compute unary expreesion, input=-8832, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=-inf","layer":1},{"info":"number node, value=4762","layer":4},{"info":"compute unary expreesion, input=4762, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=37682","layer":3},{"info":"number node, value=1642","layer":4},{"info":"compute unary expreesion, input=1642, op_id = nFAOW8KTqp, unary_op_definition = 'a∷ = { ((-(a⋝⋈⪟a))≦≮≮) }', output=4926","layer":3},{"info":"compute binary expreesion, left_input=37682, right_input=4926, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-37198","layer":2},{"info":"number node, value=1349","layer":4},{"info":"number node, value=4624","layer":4},{"info":"compute binary expreesion, left_input=1349, right_input=4624, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"number node, value=5399","layer":4},{"info":"compute unary expreesion, input=5399, op_id = 5JYyxRJd4f, unary_op_definition = 'a⇞ = { (a≧⫂∧((a⩷∴a)⨸⪁(a-a))) , if a<7 ; ((⨞⊢(a∲⫓a))⫡⨏(a⊉≛↸(a⇼⇔∾a))) , else }', output=21509","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=21509, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-37198, right_input=0, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=-372943","layer":1},{"info":"compute binary expreesion, left_input=-inf, right_input=-372943, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=inf","layer":0}],"base":7,"result_base":7,"text":"(⇘(⨞⊢≴∭⊉5125↼⊘⨖≴∭⊉15642))∠↢((↞≼≴∭⊉16612)≒∊(≴∭⊉4534∷))⩦((≴∭⊉3635⫚↹⊑≴∭⊉16324)⨽∌(≴∭⊉21512⇞))=Inf","reverse_text":"Inf=(⇘(⨞⊢≴∭⊉5125↼⊘⨖≴∭⊉15642))∠↢((↞≼≴∭⊉16612)≒∊(≴∭⊉4534∷))⩦((≴∭⊉3635⫚↹⊑≴∭⊉16324)⨽∌(≴∭⊉21512⇞))","cot":[{"info":"≴∭⊉5125↼⊘⨖≴∭⊉15642=≴∭⊉34146","layer":3},{"info":"⨞⊢≴∭⊉34146=≴∭⊉-34515","layer":2},{"info":"⇘≴∭⊉-34515=-Inf","layer":1},{"info":"↞≼≴∭⊉16612=≴∭⊉214601","layer":3},{"info":"≴∭⊉4534∷=≴∭⊉20235","layer":3},{"info":"≴∭⊉214601≒∊≴∭⊉20235=≴∭⊉-213310","layer":2},{"info":"≴∭⊉3635⫚↹⊑≴∭⊉16324=≴∭⊉-1206","layer":3},{"info":"≴∭⊉21512⇞=≴∭⊉116465","layer":3},{"info":"≴∭⊉-1206⨽∌≴∭⊉116465=≴∭⊉0","layer":2},{"info":"≴∭⊉-213310⩦≴∭⊉0=≴∭⊉-3112204","layer":1},{"info":"-Inf∠↢≴∭⊉-3112204=Inf","layer":0}]}
+{"id":558,"expression_no_base_symbol":"((($5011$∲⫓$2497$)⫲⨊)⫢⨠($1589$⊋$1037$⫚↹⊑$6053$∺≝⩲$4410$))⇻⋧≁(($4259$⫚⫇)∕⩚($5465$≫≃))⊕∕($2356$≁$1583$⪪(⇤←$3108$))","expression":"(((≴∭⊉20416∲⫓≴∭⊉10165)⫲⨊)⫢⨠(≴∭⊉4430⊋≴∭⊉3011⫚↹⊑≴∭⊉23435∺≝⩲≴∭⊉15600))⇻⋧≁((≴∭⊉15263⫚⫇)∕⩚(≴∭⊉21635≫≃))⊕∕(≴∭⊉6604≁≴∭⊉4421⪪(⇤←≴∭⊉12030))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":83198,"operation_count":14,"complexity_ratio":5942.714285714285,"tree":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"unary","operator":"⫲⨊","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":5011,"base":7},"right_expr":{"type":"numeric_atoms","value":2497,"base":7}}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":1589,"base":7},"right_expr":{"type":"numeric_atoms","value":1037,"base":7}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":6053,"base":7},"right_expr":{"type":"numeric_atoms","value":4410,"base":7}}}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"unary","operator":"⫚⫇","unary_expr":{"type":"numeric_atoms","value":4259,"base":7}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":5465,"base":7}}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":2356,"base":7},"right_expr":{"type":"numeric_atoms","value":1583,"base":7}},"right_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"numeric_atoms","value":3108,"base":7}}}}},"used_operators":["jCPkEVoL5K","xlXykHWxX1","CArV6hThFE","i8ToyICDmI","dfKe02y8D2","W4tP9CfskL","KPf6cnQVty","9cloC0Ngie","z9ffQ9n5Zr","SdCjLnB6rR","X99M06cbEe","xD69zh8xqp","8N2wDY1A35","jfAgQ2OQeM"],"dependent_operators":["eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","WmT3o8z6ya","uFcxV4UQCh","2DDjHMKMc0","B3sABdIn96","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","2td37pGCOC","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","FU0Cs4j7VP","JclMnS0uGI","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5011","layer":4},{"info":"number node, value=2497","layer":4},{"info":"compute binary expreesion, left_input=5011, right_input=2497, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = CArV6hThFE, unary_op_definition = 'a⫲⨊ = { ((332≫≃)⪹) , if a==35 ; ((a⋘⨑⨽)⋝⋈⪟(a⪛290)) , else }', output=783","layer":2},{"info":"number node, value=1589","layer":4},{"info":"number node, value=1037","layer":4},{"info":"compute binary expreesion, left_input=1589, right_input=1037, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=4522332","layer":3},{"info":"number node, value=6053","layer":4},{"info":"number node, value=4410","layer":4},{"info":"compute binary expreesion, left_input=6053, right_input=4410, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=4522332, right_input=160, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=783, right_input=-447, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":1},{"info":"number node, value=4259","layer":4},{"info":"compute unary expreesion, input=4259, op_id = SdCjLnB6rR, unary_op_definition = 'a⫚⫇ = { ((⨞⊢87)⨸⪁((⩦⩻⨪a)≧⫂∧a)) }', output=7050","layer":3},{"info":"number node, value=5465","layer":4},{"info":"compute unary expreesion, input=5465, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=12331","layer":3},{"info":"compute binary expreesion, left_input=7050, right_input=12331, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-7053","layer":2},{"info":"number node, value=2356","layer":4},{"info":"number node, value=1583","layer":4},{"info":"compute binary expreesion, left_input=2356, right_input=1583, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=24791","layer":3},{"info":"number node, value=3108","layer":4},{"info":"compute unary expreesion, input=3108, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=-14174","layer":3},{"info":"compute binary expreesion, left_input=24791, right_input=-14174, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-3739530","layer":2},{"info":"compute binary expreesion, left_input=-7053, right_input=-3739530, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=-7053","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=-7053, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=0","layer":0}],"base":7,"result_base":7,"text":"(((≴∭⊉20416∲⫓≴∭⊉10165)⫲⨊)⫢⨠(≴∭⊉4430⊋≴∭⊉3011⫚↹⊑≴∭⊉23435∺≝⩲≴∭⊉15600))⇻⋧≁((≴∭⊉15263⫚⫇)∕⩚(≴∭⊉21635≫≃))⊕∕(≴∭⊉6604≁≴∭⊉4421⪪(⇤←≴∭⊉12030))=≴∭⊉0","reverse_text":"≴∭⊉0=(((≴∭⊉20416∲⫓≴∭⊉10165)⫲⨊)⫢⨠(≴∭⊉4430⊋≴∭⊉3011⫚↹⊑≴∭⊉23435∺≝⩲≴∭⊉15600))⇻⋧≁((≴∭⊉15263⫚⫇)∕⩚(≴∭⊉21635≫≃))⊕∕(≴∭⊉6604≁≴∭⊉4421⪪(⇤←≴∭⊉12030))","cot":[{"info":"≴∭⊉20416∲⫓≴∭⊉10165=≴∭⊉0","layer":3},{"info":"≴∭⊉0⫲⨊=≴∭⊉2166","layer":2},{"info":"≴∭⊉4430⊋≴∭⊉3011=≴∭⊉53303433","layer":3},{"info":"≴∭⊉23435∺≝⩲≴∭⊉15600=≴∭⊉316","layer":3},{"info":"≴∭⊉53303433⫚↹⊑≴∭⊉316=≴∭⊉-1206","layer":2},{"info":"≴∭⊉2166⫢⨠≴∭⊉-1206=≴∭⊉316","layer":1},{"info":"≴∭⊉15263⫚⫇=≴∭⊉26361","layer":3},{"info":"≴∭⊉21635≫≃=≴∭⊉50644","layer":3},{"info":"≴∭⊉26361∕⩚≴∭⊉50644=≴∭⊉-26364","layer":2},{"info":"≴∭⊉6604≁≴∭⊉4421=≴∭⊉132164","layer":3},{"info":"⇤←≴∭⊉12030=≴∭⊉-56216","layer":3},{"info":"≴∭⊉132164⪪≴∭⊉-56216=≴∭⊉-43533264","layer":2},{"info":"≴∭⊉-26364⊕∕≴∭⊉-43533264=≴∭⊉-26364","layer":1},{"info":"≴∭⊉316⇻⋧≁≴∭⊉-26364=≴∭⊉0","layer":0}]}
+{"id":559,"expression_no_base_symbol":"($6278$⨀⨒)⪪($1646$⪄$1470$)∌↝(⪝⪂⫅$1425$)⨜⨶($6857$⋣⋖$1468$)∀⇚≩((⇜($3888$≒∊$4995$))⊉≛↸$2703$⇂≾⫗$3657$⪎↠(↞≼$4691$))","expression":"(≴∭⊉24206⨀⨒)⪪(≴∭⊉4541⪄≴∭⊉4200)∌↝(⪝⪂⫅≴∭⊉4104)⨜⨶(≴∭⊉25664⋣⋖≴∭⊉4165)∀⇚≩((⇜(≴∭⊉14223≒∊≴∭⊉20364))⊉≛↸≴∭⊉10611⇂≾⫗≴∭⊉13443⪎↠(↞≼≴∭⊉16451))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":255873,"operation_count":14,"complexity_ratio":18276.64285714286,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"unary","operator":"⨀⨒","unary_expr":{"type":"numeric_atoms","value":6278,"base":7}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1646,"base":7},"right_expr":{"type":"numeric_atoms","value":1470,"base":7}}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1425,"base":7}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":6857,"base":7},"right_expr":{"type":"numeric_atoms","value":1468,"base":7}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":3888,"base":7},"right_expr":{"type":"numeric_atoms","value":4995,"base":7}}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":2703,"base":7},"right_expr":{"type":"numeric_atoms","value":3657,"base":7}},"right_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"numeric_atoms","value":4691,"base":7}}}}},"used_operators":["LRNGc0VcxI","9Isq31Ruls","xD69zh8xqp","j6NVkjMzuk","SUmda5xLS4","HiPekx5b7W","XTarYq4gQB","J0M6qkBnIM","DZ8iAZOCBD","lFBm8KRb8F","5KTvxBwnZo","3tVxb0NHM4","aBQ6xLxuTc","DE7zCoGJt9"],"dependent_operators":["X99M06cbEe","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","FU0Cs4j7VP","JclMnS0uGI","E4l6HwMY31","Ikt5ks8PT7","HmxsFra2vL","oacrs7FA3X","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","9HNa5Wba9A","8w2t5hMYqp","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6278","layer":4},{"info":"compute unary expreesion, input=6278, op_id = j6NVkjMzuk, unary_op_definition = 'a⨀⨒ = { ((a⪘⫢a)⊔(a⪘⫢a)) , if a!=184 ; ((a⩧⪆a)∙∹∝a) , else }', output=84624","layer":3},{"info":"number node, value=1646","layer":4},{"info":"number node, value=1470","layer":4},{"info":"compute binary expreesion, left_input=1646, right_input=1470, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-245577","layer":3},{"info":"compute binary expreesion, left_input=84624, right_input=-245577, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-12774313","layer":2},{"info":"number node, value=1425","layer":4},{"info":"compute unary expreesion, input=1425, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-209475","layer":3},{"info":"number node, value=6857","layer":4},{"info":"number node, value=1468","layer":4},{"info":"compute binary expreesion, left_input=6857, right_input=1468, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=6857","layer":3},{"info":"compute binary expreesion, left_input=-209475, right_input=6857, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-13458","layer":2},{"info":"compute binary expreesion, left_input=-12774313, right_input=-13458, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=-12774313","layer":1},{"info":"number node, value=3888","layer":4},{"info":"number node, value=4995","layer":4},{"info":"compute binary expreesion, left_input=3888, right_input=4995, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-3404","layer":3},{"info":"compute unary expreesion, input=-3404, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=232","layer":2},{"info":"number node, value=2703","layer":4},{"info":"number node, value=3657","layer":4},{"info":"compute binary expreesion, left_input=2703, right_input=3657, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"number node, value=4691","layer":4},{"info":"compute unary expreesion, input=4691, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=37114","layer":3},{"info":"compute binary expreesion, left_input=-676, right_input=37114, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=-55","layer":2},{"info":"compute binary expreesion, left_input=232, right_input=-55, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=464","layer":1},{"info":"compute binary expreesion, left_input=-12774313, right_input=464, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉24206⨀⨒)⪪(≴∭⊉4541⪄≴∭⊉4200)∌↝(⪝⪂⫅≴∭⊉4104)⨜⨶(≴∭⊉25664⋣⋖≴∭⊉4165)∀⇚≩((⇜(≴∭⊉14223≒∊≴∭⊉20364))⊉≛↸≴∭⊉10611⇂≾⫗≴∭⊉13443⪎↠(↞≼≴∭⊉16451))=NaN","reverse_text":"NaN=(≴∭⊉24206⨀⨒)⪪(≴∭⊉4541⪄≴∭⊉4200)∌↝(⪝⪂⫅≴∭⊉4104)⨜⨶(��∭⊉25664⋣⋖≴∭⊉4165)∀⇚≩((⇜(≴∭⊉14223≒∊≴∭⊉20364))⊉≛↸≴∭⊉10611⇂≾⫗≴∭⊉13443⪎↠(↞≼≴∭⊉16451))","cot":[{"info":"≴∭⊉24206⨀⨒=≴∭⊉501501","layer":3},{"info":"≴∭⊉4541⪄≴∭⊉4200=≴∭⊉-2041653","layer":3},{"info":"≴∭⊉501501⪪≴∭⊉-2041653=≴∭⊉-213402616","layer":2},{"info":"⪝⪂⫅≴∭⊉4104=≴∭⊉-1531500","layer":3},{"info":"≴∭⊉25664⋣⋖≴∭⊉4165=≴∭⊉25664","layer":3},{"info":"≴∭⊉-1531500⨜⨶≴∭⊉25664=≴∭⊉-54144","layer":2},{"info":"≴∭⊉-213402616∌↝≴∭⊉-54144=≴∭⊉-213402616","layer":1},{"info":"≴∭⊉14223≒∊≴∭⊉20364=≴∭⊉-12632","layer":3},{"info":"⇜≴∭⊉-12632=≴∭⊉451","layer":2},{"info":"≴∭⊉10611⇂≾⫗≴∭⊉13443=≴∭⊉-1654","layer":3},{"info":"↞≼≴∭⊉16451=≴∭⊉213130","layer":3},{"info":"≴∭⊉-1654⪎↠≴∭⊉213130=≴∭⊉-106","layer":2},{"info":"≴∭⊉451⊉≛↸≴∭⊉-106=≴∭⊉1232","layer":1},{"info":"≴∭⊉-213402616∀⇚≩≴∭⊉1232=NaN","layer":0}]}
+{"id":560,"expression_no_base_symbol":"((⊄⩳↩($1385$∈))⊟⇱)⨿(⇤←(⇉-⫰($1788$∝$7312$)))","expression":"((⊄⩳↩(≴∭⊉4016∈))⊟⇱)⨿(⇤←(⇉-⫰(≴∭⊉5133∝≴∭⊉30214)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":62240,"operation_count":7,"complexity_ratio":8891.42857142857,"tree":{"type":"binary","operator":"⨿","left_expr":{"type":"unary","operator":"⊟⇱","unary_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"∈","unary_expr":{"type":"numeric_atoms","value":1385,"base":7}}}},"right_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":1788,"base":7},"right_expr":{"type":"numeric_atoms","value":7312,"base":7}}}}},"used_operators":["abYXlopdE0","03sUfWo75k","8w2t5hMYqp","ztP7wcbY7m","jfAgQ2OQeM","IGFM8TAlm9","cTDWOvIxvz"],"dependent_operators":["gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","IWmyXbctLI","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","XPYlsWDdGa","8w2t5hMYqp","f6k1SAg4EE","14qkJME0vr","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","eH2TOUuTDT","eewbuw0ToL","7j4O788W3g","W4YGzv6Whe","COABgblf1C"],"result":"≴∭⊉124","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1385","layer":4},{"info":"compute unary expreesion, input=1385, op_id = ztP7wcbY7m, unary_op_definition = 'a∈ = { ((⊄⩳↩250)-(a⊦⊿)) , if ((⪲⇎a)>320 or (a⪒777)>25 or a!=39) ; a , else }', output=3484","layer":3},{"info":"compute unary expreesion, input=3484, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-10452","layer":2},{"info":"compute unary expreesion, input=-10452, op_id = 03sUfWo75k, unary_op_definition = 'a⊟⇱ = { (a⪮%⊝a) }', output=-20588","layer":1},{"info":"number node, value=1788","layer":4},{"info":"number node, value=7312","layer":4},{"info":"compute binary expreesion, left_input=1788, right_input=7312, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=1793","layer":3},{"info":"compute unary expreesion, input=1793, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":2},{"info":"compute unary expreesion, input=20, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=1266","layer":1},{"info":"compute binary expreesion, left_input=-20588, right_input=1266, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=67","layer":0}],"base":7,"result_base":7,"text":"((⊄⩳↩(≴∭⊉4016∈))⊟⇱)⨿(⇤←(⇉-⫰(≴∭⊉5133∝≴∭⊉30214)))=≴∭⊉124","reverse_text":"≴∭⊉124=((⊄⩳↩(≴∭⊉4016∈))⊟⇱)⨿(⇤←(⇉-⫰(≴∭⊉5133∝≴∭⊉30214)))","cot":[{"info":"≴∭⊉4016∈=≴∭⊉13105","layer":3},{"info":"⊄⩳↩≴∭⊉13105=≴∭⊉-42321","layer":2},{"info":"≴∭⊉-42321⊟⇱=≴∭⊉-114011","layer":1},{"info":"≴∭⊉5133∝≴∭⊉30214=≴∭⊉5141","layer":3},{"info":"⇉-⫰≴∭⊉5141=≴∭⊉26","layer":2},{"info":"⇤←≴∭⊉26=≴∭⊉3456","layer":1},{"info":"≴∭⊉-114011⨿≴∭⊉3456=≴∭⊉124","layer":0}]}
+{"id":561,"expression_no_base_symbol":"((⊲⪭($1701$⨻⩈⩔$3691$))⨎(⩰$2207$)⊔$5613$↬$1726$)⇌⫙⪟((↯⪼($7127$⪄$2424$))⪕($2027$⫥∨⫟$4927$)⫗⊷⫓($1097$⫢⨠$3000$))","expression":"((⊲⪭(≴∭⊉4650⨻⩈⩔≴∭⊉13522))⨎(⩰≴∭⊉6302)⊔≴∭⊉22236↬≴∭⊉5014)⇌⫙⪟((↯⪼(≴∭⊉26531⪄≴∭⊉10032))⪕(≴∭⊉5624⫥∨⫟≴∭⊉20236)⫗⊷⫓(≴∭⊉3125⫢⨠≴∭⊉11514))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":88033,"operation_count":13,"complexity_ratio":6771.7692307692305,"tree":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":1701,"base":7},"right_expr":{"type":"numeric_atoms","value":3691,"base":7}}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"numeric_atoms","value":2207,"base":7}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":5613,"base":7},"right_expr":{"type":"numeric_atoms","value":1726,"base":7}}}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":7127,"base":7},"right_expr":{"type":"numeric_atoms","value":2424,"base":7}}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2027,"base":7},"right_expr":{"type":"numeric_atoms","value":4927,"base":7}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":1097,"base":7},"right_expr":{"type":"numeric_atoms","value":3000,"base":7}}}}},"used_operators":["AFVx7xoS7T","rJVOvQCfKK","k7HXdKtiEU","nEsXyWgiOK","E4l6HwMY31","WkeUrDK8WX","B5M0gjZbta","umQnsF7QlU","8jW3W4yZS5","SUmda5xLS4","zashukvMKz","KYD54nUTWz","xlXykHWxX1"],"dependent_operators":["DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","i8ToyICDmI","xUOZtlo3hN","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","rGHVDoGpnC","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","8HhzD0ZcuI","rGHVDoGpnC","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1701","layer":4},{"info":"number node, value=3691","layer":4},{"info":"compute binary expreesion, left_input=1701, right_input=3691, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=5207","layer":3},{"info":"compute unary expreesion, input=5207, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-5381","layer":2},{"info":"number node, value=2207","layer":4},{"info":"compute unary expreesion, input=2207, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-3207","layer":3},{"info":"number node, value=5613","layer":4},{"info":"number node, value=1726","layer":4},{"info":"compute binary expreesion, left_input=5613, right_input=1726, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-3207, right_input=nan, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-5381, right_input=nan, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=nan","layer":1},{"info":"number node, value=7127","layer":4},{"info":"number node, value=2424","layer":4},{"info":"compute binary expreesion, left_input=7127, right_input=2424, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-1060581","layer":3},{"info":"compute unary expreesion, input=-1060581, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=2120245","layer":2},{"info":"number node, value=2027","layer":4},{"info":"number node, value=4927","layer":4},{"info":"compute binary expreesion, left_input=2027, right_input=4927, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=1097","layer":4},{"info":"number node, value=3000","layer":4},{"info":"compute binary expreesion, left_input=1097, right_input=3000, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":2},{"info":"compute binary expreesion, left_input=2120245, right_input=-134, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=4241525","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=4241525, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((⊲⪭(≴∭⊉4650⨻⩈⩔≴∭⊉13522))⨎(⩰≴∭⊉6302)⊔≴∭⊉22236↬≴∭⊉5014)⇌⫙⪟((↯⪼(≴∭⊉26531⪄≴∭⊉10032))⪕(≴∭⊉5624⫥∨⫟≴∭⊉20236)⫗⊷⫓(≴∭⊉3125⫢⨠≴∭⊉11514))=NaN","reverse_text":"NaN=((⊲⪭(≴∭⊉4650⨻⩈⩔≴∭⊉13522))⨎(⩰≴∭⊉6302)⊔≴∭⊉22236↬≴∭⊉5014)⇌⫙⪟((↯⪼(≴∭⊉26531⪄≴∭⊉10032))⪕(≴∭⊉5624⫥∨⫟≴∭⊉20236)⫗⊷⫓(≴∭⊉3125⫢⨠≴∭⊉11514))","cot":[{"info":"≴∭⊉4650⨻⩈⩔≴∭⊉13522=≴∭⊉21116","layer":3},{"info":"⊲⪭≴∭⊉21116=≴∭⊉-21455","layer":2},{"info":"⩰≴∭⊉6302=≴∭⊉-12231","layer":3},{"info":"≴∭⊉22236↬≴∭⊉5014=NaN","layer":3},{"info":"≴∭⊉-12231⊔NaN=NaN","layer":2},{"info":"≴∭⊉-21455⨎NaN=NaN","layer":1},{"info":"≴∭⊉26531⪄≴∭⊉10032=≴∭⊉-12005034","layer":3},{"info":"↯⪼≴∭⊉-12005034=≴∭⊉24010321","layer":2},{"info":"≴∭⊉5624⫥∨⫟≴∭⊉20236=NaN","layer":3},{"info":"≴∭⊉3125⫢⨠≴∭⊉11514=≴∭⊉316","layer":3},{"info":"NaN⫗⊷⫓≴∭⊉316=≴∭⊉-251","layer":2},{"info":"≴∭⊉24010321⪕≴∭⊉-251=≴∭⊉51023651","layer":1},{"info":"NaN⇌⫙⪟≴∭⊉51023651=NaN","layer":0}]}
+{"id":562,"expression_no_base_symbol":"((($2057$⩠)∝(⋗⩴⪓$2531$))⩘⨬⇊)⇌⫙⪟(($1108$⪃↞⩐)⨚⇆$1844$∴$1304$)≦↸($8134$⩚⊴⇥$7583$)⨔⇊($1716$≝⊿$2240$)","expression":"(((≴∭⊉5666⩠)∝(⋗⩴⪓≴∭⊉10244))⩘⨬⇊)⇌⫙⪟((≴∭⊉3142⪃↞⩐)⨚⇆≴∭⊉5243∴≴∭⊉3542)≦↸(≴∭⊉32500⩚⊴⇥≴∭⊉31052)⨔⇊(≴∭⊉5001≝⊿≴∭⊉6350)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":52686,"operation_count":12,"complexity_ratio":4390.5,"tree":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"unary","operator":"⩘⨬⇊","unary_expr":{"type":"binary","operator":"∝","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":2057,"base":7}},"right_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"numeric_atoms","value":2531,"base":7}}}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"unary","operator":"⪃↞⩐","unary_expr":{"type":"numeric_atoms","value":1108,"base":7}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":1844,"base":7},"right_expr":{"type":"numeric_atoms","value":1304,"base":7}}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":8134,"base":7},"right_expr":{"type":"numeric_atoms","value":7583,"base":7}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":1716,"base":7},"right_expr":{"type":"numeric_atoms","value":2240,"base":7}}}}},"used_operators":["AFVx7xoS7T","XXmTpEpWTW","cTDWOvIxvz","sJAwomhLZr","nOKPl9n5zu","RygbFNSyEJ","lwHaAYXP2r","grXIztHqDa","hrf7POJlIJ","JclMnS0uGI","NTOWxs364D","OKKcZfAt5B"],"dependent_operators":["DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","rxpJgHHUmx","HnzytWxmAO","8cLx32lpNA","7j4O788W3g","W4YGzv6Whe","COABgblf1C","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","IwW236VD4Y","bF6eod5Gvf","l07mrZUIn9","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2057","layer":4},{"info":"compute unary expreesion, input=2057, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"number node, value=2531","layer":4},{"info":"compute unary expreesion, input=2531, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔���(≪(a⨪↰⇹a))) , else }', output=-1618","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-1618, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=5","layer":2},{"info":"compute unary expreesion, input=5, op_id = XXmTpEpWTW, unary_op_definition = 'a⩘⨬⇊ = { ((a⇴∐a)∌(a≭31)) }', output=-116","layer":1},{"info":"number node, value=1108","layer":4},{"info":"compute unary expreesion, input=1108, op_id = grXIztHqDa, unary_op_definition = 'a⪃↞⩐ = { ((a→⨶⪴a)≠≀(a↪⪝)) }', output=6954","layer":3},{"info":"number node, value=1844","layer":4},{"info":"number node, value=1304","layer":4},{"info":"compute binary expreesion, left_input=1844, right_input=1304, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=5336","layer":3},{"info":"compute binary expreesion, left_input=6954, right_input=5336, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":2},{"info":"number node, value=8134","layer":4},{"info":"number node, value=7583","layer":4},{"info":"compute binary expreesion, left_input=8134, right_input=7583, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-15838","layer":3},{"info":"number node, value=1716","layer":4},{"info":"number node, value=2240","layer":4},{"info":"compute binary expreesion, left_input=1716, right_input=2240, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-6729","layer":3},{"info":"compute binary expreesion, left_input=-15838, right_input=-6729, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=-67991","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-67991, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-116, right_input=nan, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(((≴∭⊉5666⩠)∝(⋗⩴⪓≴∭⊉10244))⩘⨬⇊)⇌⫙⪟((≴∭⊉3142⪃↞⩐)⨚⇆≴∭⊉5243∴≴∭⊉3542)≦↸(≴∭⊉32500⩚⊴⇥≴∭⊉31052)⨔⇊(≴∭⊉5001≝⊿≴∭⊉6350)=NaN","reverse_text":"NaN=(((≴∭⊉5666⩠)∝(⋗⩴⪓≴∭⊉10244))⩘⨬⇊)⇌⫙⪟((≴∭⊉3142⪃↞⩐)⨚⇆≴∭⊉5243∴≴∭⊉3542)≦↸(≴∭⊉32500⩚⊴⇥≴∭⊉31052)⨔⇊(≴∭⊉5001≝⊿≴∭⊉6350)","cot":[{"info":"≴∭⊉5666⩠=≴∭⊉0","layer":3},{"info":"⋗⩴⪓≴∭⊉10244=≴∭⊉-4501","layer":3},{"info":"≴∭⊉0∝≴∭⊉-4501=≴∭⊉5","layer":2},{"info":"≴∭⊉5⩘⨬⇊=≴∭⊉-224","layer":1},{"info":"≴∭⊉3142⪃↞⩐=≴∭⊉26163","layer":3},{"info":"≴∭⊉5243∴≴∭⊉3542=≴∭⊉21362","layer":3},{"info":"≴∭⊉26163⨚⇆≴∭⊉21362=NaN","layer":2},{"info":"≴∭⊉32500⩚⊴⇥≴∭⊉31052=≴∭⊉-64114","layer":3},{"info":"≴∭⊉5001≝⊿≴∭⊉6350=≴∭⊉-25422","layer":3},{"info":"≴∭⊉-64114⨔⇊≴∭⊉-25422=≴∭⊉-402140","layer":2},{"info":"NaN≦↸≴∭⊉-402140=NaN","layer":1},{"info":"≴∭⊉-224⇌⫙⪟NaN=NaN","layer":0}]}
+{"id":563,"expression_no_base_symbol":"((⇾⩊⇾$1122$)⊔$2391$⫞⩸⩒$3750$⫃⨇(≔(⪲⇎$1250$)))⪔((∨∊⋏($1985$≥⨤⩑$1889$))⫡⨏$4466$⋅⇍$2014$⩹$5076$⫒⫫$5499$)","expression":"((⇾⩊⇾≴∭⊉3162)⊔≴∭⊉6654⫞⩸⩒≴∭⊉13635⫃⨇(≔(⪲⇎≴∭⊉3434)))⪔((∨∊⋏(≴∭⊉5534≥⨤⩑≴∭⊉5336))⫡⨏≴∭⊉16010⋅⇍≴∭⊉5605⩹≴∭⊉20541⫒⫫≴∭⊉22014)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":299,"operation_count":13,"complexity_ratio":23.0,"tree":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"numeric_atoms","value":1122,"base":7}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":2391,"base":7},"right_expr":{"type":"numeric_atoms","value":3750,"base":7}}},"right_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1250,"base":7}}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":1985,"base":7},"right_expr":{"type":"numeric_atoms","value":1889,"base":7}}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":4466,"base":7},"right_expr":{"type":"numeric_atoms","value":2014,"base":7}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":5076,"base":7},"right_expr":{"type":"numeric_atoms","value":5499,"base":7}}}}},"used_operators":["GjBEYRfMaF","09Ly4LVMIf","E4l6HwMY31","bx9Z9DAK5y","XGcMNugi78","8FLs4eVsLt","XPYlsWDdGa","QMFrweE19q","R5aXW34M0v","gJLn6v0xnP","2Wsdkap16l","AdZkA7nFnk","6Ko8hGgeMq"],"dependent_operators":["YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1122","layer":4},{"info":"compute unary expreesion, input=1122, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-16584","layer":3},{"info":"number node, value=2391","layer":4},{"info":"number node, value=3750","layer":4},{"info":"compute binary expreesion, left_input=2391, right_input=3750, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=3750","layer":3},{"info":"compute binary expreesion, left_input=-16584, right_input=3750, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=75876","layer":2},{"info":"number node, value=1250","layer":4},{"info":"compute unary expreesion, input=1250, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2500","layer":3},{"info":"compute unary expreesion, input=2500, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-68706","layer":2},{"info":"compute binary expreesion, left_input=75876, right_input=-68706, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=274792","layer":1},{"info":"number node, value=1985","layer":4},{"info":"number node, value=1889","layer":4},{"info":"compute binary expreesion, left_input=1985, right_input=1889, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=16415","layer":2},{"info":"number node, value=4466","layer":4},{"info":"number node, value=2014","layer":4},{"info":"compute binary expreesion, left_input=4466, right_input=2014, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"number node, value=5076","layer":4},{"info":"number node, value=5499","layer":4},{"info":"compute binary expreesion, left_input=5076, right_input=5499, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=nan, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=16415, right_input=nan, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=274792, right_input=nan, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((⇾⩊⇾≴∭⊉3162)⊔≴∭⊉6654⫞⩸⩒≴∭⊉13635⫃⨇(≔(⪲⇎≴∭⊉3434)))⪔((∨∊⋏(≴∭⊉5534≥⨤⩑≴∭⊉5336))⫡⨏≴∭⊉16010⋅⇍≴∭⊉5605⩹≴∭⊉20541⫒⫫≴∭⊉22014)=NaN","reverse_text":"NaN=((⇾⩊⇾≴∭⊉3162)⊔≴∭⊉6654⫞⩸⩒≴∭⊉13635⫃⨇(≔(⪲⇎≴∭⊉3434)))⪔((∨∊⋏(≴∭⊉5534≥⨤⩑≴∭⊉5336))⫡⨏≴∭⊉16010⋅⇍≴∭⊉5605⩹≴∭⊉20541⫒⫫≴∭⊉22014)","cot":[{"info":"⇾⩊⇾≴∭⊉3162=≴∭⊉-66231","layer":3},{"info":"≴∭⊉6654⫞⩸⩒≴∭⊉13635=≴∭⊉13635","layer":3},{"info":"≴∭⊉-66231⊔≴∭⊉13635=≴∭⊉434133","layer":2},{"info":"⪲⇎≴∭⊉3434=≴∭⊉10201","layer":3},{"info":"≔≴∭⊉10201=≴∭⊉-404211","layer":2},{"info":"≴∭⊉434133⫃⨇≴∭⊉-404211=≴∭⊉2223100","layer":1},{"info":"≴∭⊉5534≥⨤⩑≴∭⊉5336=≴∭⊉3412","layer":3},{"info":"∨∊⋏≴∭⊉3412=≴∭⊉65600","layer":2},{"info":"≴∭⊉16010⋅⇍≴∭⊉5605=≴∭⊉-31","layer":3},{"info":"≴∭⊉20541⫒⫫≴∭⊉22014=NaN","layer":3},{"info":"≴∭⊉-31⩹NaN=NaN","layer":2},{"info":"≴∭⊉65600⫡⨏NaN=NaN","layer":1},{"info":"≴∭⊉2223100⪔NaN=NaN","layer":0}]}
+{"id":564,"expression_no_base_symbol":"(⊥($2425$⫞⩸⩒$3796$∩⋅))+⪬∐($8467$∓⋝$2477$⊢(⨞⊢$1600$))≦↸(($3306$⇡)⨽⪊≇)","expression":"(⊥(≴∭⊉10033⫞⩸⩒≴∭⊉14032∩⋅))+⪬∐(≴∭⊉33454∓⋝≴∭⊉10136⊢(⨞⊢≴∭⊉4444))≦↸((≴∭⊉12432⇡)⨽⪊≇)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":190,"operation_count":10,"complexity_ratio":19.0,"tree":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"unary","operator":"∩⋅","unary_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":2425,"base":7},"right_expr":{"type":"numeric_atoms","value":3796,"base":7}}}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":8467,"base":7},"right_expr":{"type":"numeric_atoms","value":2477,"base":7}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1600,"base":7}}},"right_expr":{"type":"unary","operator":"⨽⪊≇","unary_expr":{"type":"unary","operator":"⇡","unary_expr":{"type":"numeric_atoms","value":3306,"base":7}}}}},"used_operators":["2GS7woTJqF","Q3PJZHRvZv","2MzE1hQ0cz","XGcMNugi78","RygbFNSyEJ","5twsqlHp2o","PoHhknlbAi","xUOZtlo3hN","nlCqmYiOvY","UqFzSgLMvQ"],"dependent_operators":["g55IO6H4Gj","D4vGDi5EA2","fu6greOZ01","Qy55tPpLXF","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","sdazOOVcIp","XIabStNQrY","3sJ7IOPOlU","sJAwomhLZr","4JB6nKBMSY","k2HlF1dBQh","BiWNJpBvwn","YSKBFp38Pu"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2425","layer":4},{"info":"number node, value=3796","layer":4},{"info":"compute binary expreesion, left_input=2425, right_input=3796, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=3796","layer":3},{"info":"compute unary expreesion, input=3796, op_id = 2MzE1hQ0cz, unary_op_definition = 'a∩⋅ = { (a⋥≓≎44) }', output=-3675","layer":2},{"info":"compute unary expreesion, input=-3675, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"number node, value=8467","layer":4},{"info":"number node, value=2477","layer":4},{"info":"compute binary expreesion, left_input=8467, right_input=2477, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"number node, value=1600","layer":4},{"info":"compute unary expreesion, input=1600, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1774","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=-1774, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-378","layer":2},{"info":"number node, value=3306","layer":4},{"info":"compute unary expreesion, input=3306, op_id = UqFzSgLMvQ, unary_op_definition = 'a⇡ = { (((a⇴a)⪇≇⋚(∤27))⇤((a⩍⋽⫝̸27)⩠)) }', output=-2917","layer":3},{"info":"compute unary expreesion, input=-2917, op_id = nlCqmYiOvY, unary_op_definition = 'a⨽⪊≇ = { ((a⇋≉)⪨≂(a+216)) }', output=-6360","layer":2},{"info":"compute binary expreesion, left_input=-378, right_input=-6360, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=1059","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1059, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(⊥(≴∭⊉10033⫞⩸⩒��∭⊉14032∩⋅))+⪬∐(≴∭⊉33454∓⋝≴∭⊉10136⊢(⨞⊢≴∭⊉4444))≦↸((≴∭⊉12432⇡)⨽⪊≇)=NaN","reverse_text":"NaN=(⊥(≴∭⊉10033⫞⩸⩒≴∭⊉14032∩⋅))+⪬∐(≴∭⊉33454∓⋝≴∭⊉10136⊢(⨞⊢≴∭⊉4444))≦↸((≴∭⊉12432⇡)⨽⪊≇)","cot":[{"info":"≴∭⊉10033⫞⩸⩒≴∭⊉14032=≴∭⊉14032","layer":3},{"info":"≴∭⊉14032∩⋅=≴∭⊉-13500","layer":2},{"info":"⊥≴∭⊉-13500=NaN","layer":1},{"info":"≴∭⊉33454∓⋝≴∭⊉10136=≴∭⊉124","layer":3},{"info":"⨞⊢≴∭⊉4444=≴∭⊉-5113","layer":3},{"info":"≴∭⊉124⊢≴∭⊉-5113=≴∭⊉-1050","layer":2},{"info":"≴∭⊉12432⇡=≴∭⊉-11335","layer":3},{"info":"≴∭⊉-11335⨽⪊≇=≴∭⊉-24354","layer":2},{"info":"≴∭⊉-1050≦↸≴∭⊉-24354=≴∭⊉3042","layer":1},{"info":"NaN+⪬∐≴∭⊉3042=NaN","layer":0}]}
+{"id":565,"expression_no_base_symbol":"⫶⊄≣((($5547$⨻⩈⩔$1917$)⋣⋖($1516$⩵∡$6683$))⪚($5680$+⇶⊼$5164$)∊∟⩊(↨$5781$))","expression":"⫶⊄≣(((≴∭⊉22113⨻⩈⩔≴∭⊉5406)⋣⋖(≴∭⊉4264⩵∡≴∭⊉25325))⪚(≴∭⊉22363+⇶⊼≴∭⊉21025)∊∟⩊(↨≴∭⊉22566))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":332,"operation_count":8,"complexity_ratio":41.5,"tree":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":5547,"base":7},"right_expr":{"type":"numeric_atoms","value":1917,"base":7}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":1516,"base":7},"right_expr":{"type":"numeric_atoms","value":6683,"base":7}}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":5680,"base":7},"right_expr":{"type":"numeric_atoms","value":5164,"base":7}},"right_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"numeric_atoms","value":5781,"base":7}}}}},"used_operators":["wxb3vTeyAj","HrjLwUk87U","J0M6qkBnIM","nEsXyWgiOK","Y7wcNGrDQJ","ddLRYrp01A","TpPTUOHfaN","jiX4gk2v2Q"],"dependent_operators":["eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","NTOWxs364D","glklzrTFfD","tifHPKVTfV","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","AHs5Up7iyr","rGHVDoGpnC","oZj3VtZNQx"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5547","layer":4},{"info":"number node, value=1917","layer":4},{"info":"compute binary expreesion, left_input=5547, right_input=1917, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=35975","layer":3},{"info":"number node, value=1516","layer":4},{"info":"number node, value=6683","layer":4},{"info":"compute binary expreesion, left_input=1516, right_input=6683, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=3530","layer":3},{"info":"compute binary expreesion, left_input=35975, right_input=3530, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=35975","layer":2},{"info":"number node, value=5680","layer":4},{"info":"number node, value=5164","layer":4},{"info":"compute binary expreesion, left_input=5680, right_input=5164, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=5781","layer":4},{"info":"compute unary expreesion, input=5781, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=35975, right_input=nan, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"⫶⊄≣(((≴∭⊉22113⨻⩈⩔≴∭⊉5406)⋣⋖(≴∭⊉4264⩵∡≴∭⊉25325))⪚(≴∭⊉22363+⇶⊼≴∭⊉21025)∊∟⩊(↨≴∭⊉22566))=NaN","reverse_text":"NaN=⫶⊄≣(((≴∭⊉22113⨻⩈⩔≴∭⊉5406)⋣⋖(≴∭⊉4264⩵∡≴∭⊉25325))⪚(≴∭⊉22363+⇶⊼≴∭⊉21025)∊∟⩊(↨≴∭⊉22566))","cot":[{"info":"≴∭⊉22113⨻⩈⩔≴∭⊉5406=≴∭⊉206612","layer":3},{"info":"≴∭⊉4264⩵∡≴∭⊉25325=≴∭⊉13202","layer":3},{"info":"≴∭⊉206612⋣⋖≴∭⊉13202=≴∭⊉206612","layer":2},{"info":"≴∭⊉22363+⇶⊼≴∭⊉21025=NaN","layer":3},{"info":"↨≴∭⊉22566=NaN","layer":3},{"info":"NaN∊∟⩊NaN=NaN","layer":2},{"info":"≴∭⊉206612⪚NaN=NaN","layer":1},{"info":"⫶⊄≣NaN=NaN","layer":0}]}
+{"id":566,"expression_no_base_symbol":"($2132$⪥$5019$⨪↰⇹$4462$↞⋁$6227$+⇶⊼(⨝⨆$8062$↓$3078$))⋓(∑⇻≧$2498$⨐$9541$⫸⇳(≻⋜$2543$))","expression":"(≴∭⊉6134⪥≴∭⊉20430⨪↰⇹≴∭⊉16003↞⋁≴∭⊉24104+⇶⊼(⨝⨆≴∭⊉32335↓≴∭⊉11655))⋓(∑⇻≧≴∭⊉10166⨐≴∭⊉36550⫸⇳(≻⋜≴∭⊉10262))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":68841,"operation_count":11,"complexity_ratio":6258.272727272727,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":2132,"base":7},"right_expr":{"type":"numeric_atoms","value":5019,"base":7}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":4462,"base":7},"right_expr":{"type":"numeric_atoms","value":6227,"base":7}}},"right_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":8062,"base":7},"right_expr":{"type":"numeric_atoms","value":3078,"base":7}}}},"right_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":2498,"base":7},"right_expr":{"type":"numeric_atoms","value":9541,"base":7}},"right_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"numeric_atoms","value":2543,"base":7}}}}},"used_operators":["T2fj7uvVaJ","TpPTUOHfaN","tmPS8pqC7x","QbnwKVWMIQ","RqrPlJkxDo","bQ67fsrMVf","Af076pWI7l","l1M9WJ3V7u","gx7XJ7hdpj","Noe24qw2ks","3tj9sqzovi"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","AHs5Up7iyr","rJVOvQCfKK","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","tifHPKVTfV","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2132","layer":4},{"info":"number node, value=5019","layer":4},{"info":"compute binary expreesion, left_input=2132, right_input=5019, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=13180","layer":3},{"info":"number node, value=4462","layer":4},{"info":"number node, value=6227","layer":4},{"info":"compute binary expreesion, left_input=4462, right_input=6227, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=13180, right_input=nan, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=13180","layer":2},{"info":"number node, value=8062","layer":4},{"info":"number node, value=3078","layer":4},{"info":"compute binary expreesion, left_input=8062, right_input=3078, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"compute unary expreesion, input=-134, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=-343","layer":2},{"info":"compute binary expreesion, left_input=13180, right_input=-343, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"number node, value=2498","layer":4},{"info":"number node, value=9541","layer":4},{"info":"compute binary expreesion, left_input=2498, right_input=9541, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-4996","layer":3},{"info":"number node, value=2543","layer":4},{"info":"compute unary expreesion, input=2543, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-4996, right_input=nan, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-852, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉6134⪥≴∭⊉20430⨪↰⇹≴∭⊉16003↞⋁≴∭⊉24104+⇶⊼(⨝⨆≴∭⊉32335↓≴∭⊉11655))⋓(∑⇻≧≴∭⊉10166⨐≴∭⊉36550⫸⇳(≻⋜≴∭⊉10262))=≴∭⊉0","reverse_text":"≴∭⊉0=(≴∭⊉6134⪥≴∭⊉20430⨪↰⇹≴∭⊉16003↞⋁≴∭⊉24104+⇶⊼(⨝⨆≴∭⊉32335↓≴∭⊉11655))⋓(∑⇻≧≴∭⊉10166⨐≴∭⊉36550⫸⇳(≻⋜≴∭⊉10262))","cot":[{"info":"≴∭⊉6134⪥≴∭⊉20430=≴∭⊉53266","layer":3},{"info":"≴∭⊉16003↞⋁≴∭⊉24104=NaN","layer":3},{"info":"≴∭⊉53266⨪↰⇹NaN=≴∭⊉53266","layer":2},{"info":"≴∭⊉32335↓≴∭⊉11655=≴∭⊉-251","layer":3},{"info":"⨝⨆≴∭⊉-251=≴∭⊉-1000","layer":2},{"info":"≴∭⊉53266+⇶⊼≴∭⊉-1000=NaN","layer":1},{"info":"≴∭⊉10166⨐≴∭⊉36550=≴∭⊉-20365","layer":3},{"info":"≻⋜≴∭⊉10262=NaN","layer":3},{"info":"≴∭⊉-20365⫸⇳NaN=≴∭⊉0","layer":2},{"info":"∑⇻≧≴∭⊉0=≴∭⊉-2325","layer":1},{"info":"NaN⋓≴∭⊉-2325=≴∭⊉0","layer":0}]}
+{"id":567,"expression_no_base_symbol":"(↥≼⋛($1015$≎⊠⪸$5724$≬⋮(⊁⨺$1959$)))∽(⊗($4118$≃$2166$))∴(($1976$≓∲$2874$)⨪↰⇹(-$1015$))","expression":"(↥≼⋛(≴∭⊉2650≎⊠⪸≴∭⊉22455≬⋮(⊁⨺≴∭⊉5466)))∽(⊗(≴∭⊉15002≃≴∭⊉6213))∴((≴∭⊉5522≓∲≴∭⊉11244)⨪↰⇹(-≴∭⊉2650))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":20957,"operation_count":11,"complexity_ratio":1905.1818181818182,"tree":{"type":"binary","operator":"∽","left_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1015,"base":7},"right_expr":{"type":"numeric_atoms","value":5724,"base":7}},"right_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"numeric_atoms","value":1959,"base":7}}}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":4118,"base":7},"right_expr":{"type":"numeric_atoms","value":2166,"base":7}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":1976,"base":7},"right_expr":{"type":"numeric_atoms","value":2874,"base":7}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1015,"base":7}}}}},"used_operators":["y4ImoPnbV5","x5lMkHmzsq","kbkesczE7y","bJkvcejdHO","PxiHyQbrIp","hrf7POJlIJ","RhiyfpczSx","YbVcJGFEVW","tmPS8pqC7x","s1XTVnmDOJ","t8gj7n24qd"],"dependent_operators":["NTOWxs364D","QMFrweE19q","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","rJVOvQCfKK","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu"],"result":"≴∭⊉-1501633","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1015","layer":4},{"info":"number node, value=5724","layer":4},{"info":"compute binary expreesion, left_input=1015, right_input=5724, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=262412","layer":3},{"info":"number node, value=1959","layer":4},{"info":"compute unary expreesion, input=1959, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=262412, right_input=160, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":2},{"info":"compute unary expreesion, input=868, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-113","layer":1},{"info":"number node, value=4118","layer":4},{"info":"number node, value=2166","layer":4},{"info":"compute binary expreesion, left_input=4118, right_input=2166, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-16512","layer":3},{"info":"compute unary expreesion, input=-16512, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=33024","layer":2},{"info":"number node, value=1976","layer":4},{"info":"number node, value=2874","layer":4},{"info":"compute binary expreesion, left_input=1976, right_input=2874, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=20543","layer":3},{"info":"number node, value=1015","layer":4},{"info":"compute unary expreesion, input=1015, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1015","layer":3},{"info":"compute binary expreesion, left_input=20543, right_input=-1015, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=20543","layer":2},{"info":"compute binary expreesion, left_input=33024, right_input=20543, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=67696","layer":1},{"info":"compute binary expreesion, left_input=-113, right_input=67696, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-202345","layer":0}],"base":7,"result_base":7,"text":"(↥≼⋛(≴∭⊉2650≎⊠⪸≴∭⊉22455≬⋮(⊁⨺≴∭⊉5466)))∽(⊗(≴∭⊉15002≃≴∭⊉6213))∴((≴∭⊉5522≓∲≴∭⊉11244)⨪↰⇹(-≴∭⊉2650))=≴∭⊉-1501633","reverse_text":"≴∭⊉-1501633=(↥≼⋛(≴∭⊉2650≎⊠⪸≴∭⊉22455≬⋮(⊁⨺≴∭⊉5466)))∽(⊗(≴∭⊉15002≃≴∭⊉6213))∴((≴∭⊉5522≓∲≴∭⊉11244)⨪↰⇹(-≴∭⊉2650))","cot":[{"info":"≴∭⊉2650≎⊠⪸≴∭⊉22455=≴∭⊉2142023","layer":3},{"info":"⊁⨺≴∭⊉5466=≴∭⊉316","layer":3},{"info":"≴∭⊉2142023≬⋮≴∭⊉316=≴∭⊉2350","layer":2},{"info":"↥≼⋛≴∭⊉2350=≴∭⊉-221","layer":1},{"info":"≴∭⊉15002≃≴∭⊉6213=≴∭⊉-66066","layer":3},{"info":"⊗≴∭⊉-66066=≴∭⊉165165","layer":2},{"info":"≴∭⊉5522≓∲≴∭⊉11244=≴∭⊉113615","layer":3},{"info":"-≴∭⊉2650=≴∭⊉-2650","layer":3},{"info":"≴∭⊉113615⨪↰⇹≴∭⊉-2650=≴∭⊉113615","layer":2},{"info":"≴∭⊉165165∴≴∭⊉113615=≴∭⊉401236","layer":1},{"info":"≴∭⊉-221∽≴∭⊉401236=≴∭⊉-1501633","layer":0}]}
+{"id":568,"expression_no_base_symbol":"(⇵⪽($7367$∌↝$2128$))≳⇉(($4204$∠↢$1332$)⪭≯$4539$≠≀$4024$)↡⊰⫅(($1897$≃$2662$)↳≱$1179$⫁$1772$/($2313$≦≮≮)⨸⪁(∓⪦$1167$))","expression":"(⇵⪽(≴∭⊉30323∌↝≴∭⊉6130))≳⇉((≴∭⊉15154∠↢≴∭⊉3612)⪭≯≴∭⊉16143≠≀≴∭⊉14506)↡⊰⫅((≴∭⊉5350≃≴∭⊉10522)↳≱≴∭⊉3303⫁≴∭⊉5111/(≴∭⊉6513≦≮≮)⨸⪁(∓⪦≴∭⊉3255))","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":7637,"operation_count":14,"complexity_ratio":545.5,"tree":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":7367,"base":7},"right_expr":{"type":"numeric_atoms","value":2128,"base":7}}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":4204,"base":7},"right_expr":{"type":"numeric_atoms","value":1332,"base":7}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":4539,"base":7},"right_expr":{"type":"numeric_atoms","value":4024,"base":7}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":1897,"base":7},"right_expr":{"type":"numeric_atoms","value":2662,"base":7}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":1179,"base":7},"right_expr":{"type":"numeric_atoms","value":1772,"base":7}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":2313,"base":7}},"right_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"numeric_atoms","value":1167,"base":7}}}}},"used_operators":["VCtxkLNOzz","V0kx6qeWkN","ZGCBLdVRRX","9Isq31Ruls","XAx5wpdLa6","KbjG8mgYpV","IwW236VD4Y","XhwjNDsVaA","JwTKLfZU96","YbVcJGFEVW","0ajvFaJAv0","g55IO6H4Gj","D4vGDi5EA2","D309nIvmXG"],"dependent_operators":["Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","U7g4x0WXJJ","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","rysDP5nf3Z","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","cHh1gJQ2o6","AHs5Up7iyr","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=7367","layer":4},{"info":"number node, value=2128","layer":4},{"info":"compute binary expreesion, left_input=7367, right_input=2128, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=0","layer":2},{"info":"number node, value=4204","layer":4},{"info":"number node, value=1332","layer":4},{"info":"compute binary expreesion, left_input=4204, right_input=1332, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-34382","layer":3},{"info":"number node, value=4539","layer":4},{"info":"number node, value=4024","layer":4},{"info":"compute binary expreesion, left_input=4539, right_input=4024, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-8772","layer":3},{"info":"compute binary expreesion, left_input=-34382, right_input=-8772, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":1},{"info":"number node, value=1897","layer":4},{"info":"number node, value=2662","layer":4},{"info":"compute binary expreesion, left_input=1897, right_input=2662, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-7628","layer":3},{"info":"number node, value=1179","layer":4},{"info":"number node, value=1772","layer":4},{"info":"compute binary expreesion, left_input=1179, right_input=1772, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-7628, right_input=160, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":2},{"info":"number node, value=2313","layer":4},{"info":"compute unary expreesion, input=2313, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-6939","layer":3},{"info":"number node, value=1167","layer":4},{"info":"compute unary expreesion, input=1167, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=759","layer":3},{"info":"compute binary expreesion, left_input=-6939, right_input=759, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-12360","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-12360, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=0","layer":0}],"base":7,"result_base":7,"text":"(⇵⪽(≴∭⊉30323∌↝≴∭⊉6130))≳⇉((≴∭⊉15154∠↢≴∭⊉3612)⪭≯≴∭⊉16143≠≀≴∭⊉14506)↡⊰⫅((≴∭⊉5350≃≴∭⊉10522)↳≱≴∭⊉3303⫁≴∭⊉5111/(≴∭⊉6513≦≮≮)⨸⪁(∓⪦≴∭⊉3255))=≴∭⊉0","reverse_text":"≴∭⊉0=(⇵⪽(≴∭⊉30323∌↝≴∭⊉6130))≳⇉((≴∭⊉15154∠↢≴∭⊉3612)⪭≯≴∭⊉16143≠≀≴∭⊉14506)↡⊰⫅((≴∭⊉5350≃≴∭⊉10522)↳≱≴∭⊉3303⫁≴∭⊉5111/(≴∭⊉6513≦≮≮)⨸⪁(∓⪦≴∭⊉3255))","cot":[{"info":"≴∭⊉30323∌↝≴∭⊉6130=≴∭⊉0","layer":3},{"info":"⇵⪽≴∭⊉0=≴∭⊉0","layer":2},{"info":"≴∭⊉15154∠↢≴∭⊉3612=≴∭⊉-202145","layer":3},{"info":"≴∭⊉16143≠≀≴∭⊉14506=≴∭⊉-34401","layer":3},{"info":"≴∭⊉-202145⪭≯≴∭⊉-34401=NaN","layer":2},{"info":"≴∭⊉0≳⇉NaN=NaN","layer":1},{"info":"≴∭⊉5350≃≴∭⊉10522=≴∭⊉-31145","layer":3},{"info":"≴∭⊉3303⫁≴∭⊉5111=≴∭⊉316","layer":3},{"info":"≴∭⊉-31145↳≱≴∭⊉316=≴∭⊉0","layer":2},{"info":"≴∭⊉6513≦≮≮=≴∭⊉-26142","layer":3},{"info":"∓⪦≴∭⊉3255=≴∭⊉2133","layer":3},{"info":"≴∭⊉-26142⨸⪁≴∭⊉2133=≴∭⊉-51015","layer":2},{"info":"≴∭⊉0/≴∭⊉-51015=≴∭⊉0","layer":1},{"info":"NaN↡⊰⫅≴∭⊉0=≴∭⊉0","layer":0}]}
+{"id":569,"expression_no_base_symbol":"↩⪖((($3028$⨁⊸⫻)⊓⋫)⫌⩉⩟($2000$⪷)+⇶⊼($1745$≀⩗∶$2670$))","expression":"↩⪖(((≴∭⊉11554⨁⊸⫻)⊓⋫)⫌⩉⩟(≴∭⊉5555⪷)+⇶⊼(≴∭⊉5042≀⩗∶≴∭⊉10533))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2568,"operation_count":7,"complexity_ratio":366.85714285714283,"tree":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"unary","operator":"⊓⋫","unary_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":3028,"base":7}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⪷","unary_expr":{"type":"numeric_atoms","value":2000,"base":7}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":1745,"base":7},"right_expr":{"type":"numeric_atoms","value":2670,"base":7}}}}},"used_operators":["fG6uBQFnGz","XIIwhv8d0m","IqGBaFP0uj","glklzrTFfD","TpPTUOHfaN","Qctrpi3WzA","8INZBEW696"],"dependent_operators":["rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","2td37pGCOC","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","nCS4ZIUYfx","QMFrweE19q","W4YGzv6Whe","rysDP5nf3Z","AHs5Up7iyr","Nsiff2A1zJ","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9"],"result":"≴∭⊉-11053","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3028","layer":4},{"info":"compute unary expreesion, input=3028, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=3028","layer":3},{"info":"compute unary expreesion, input=3028, op_id = IqGBaFP0uj, unary_op_definition = 'a⊓⋫ = { (((a⪨≂a)⨳⩥⨓(⩦⩻⨪230))⪒(a⋝⋈⪟(542⫡⨏384))) }', output=-3156","layer":2},{"info":"number node, value=2000","layer":4},{"info":"compute unary expreesion, input=2000, op_id = Qctrpi3WzA, unary_op_definition = 'a⪷ = { (a⊴a) }', output=nan","layer":3},{"info":"number node, value=1745","layer":4},{"info":"number node, value=2670","layer":4},{"info":"compute binary expreesion, left_input=1745, right_input=2670, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=-3","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-3156, right_input=nan, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":1},{"info":"compute unary expreesion, input=-50, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-2782","layer":0}],"base":7,"result_base":7,"text":"↩⪖(((≴∭⊉11554⨁⊸⫻)⊓⋫)⫌⩉⩟(≴∭⊉5555⪷)+⇶⊼(≴∭⊉5042≀⩗∶≴∭⊉10533))=≴∭⊉-11053","reverse_text":"≴∭⊉-11053=↩⪖(((≴∭⊉11554⨁⊸⫻)⊓⋫)⫌⩉⩟(≴∭⊉5555⪷)+⇶⊼(≴∭⊉5042≀⩗∶≴∭⊉10533))","cot":[{"info":"≴∭⊉11554⨁⊸⫻=≴∭⊉11554","layer":3},{"info":"≴∭⊉11554⊓⋫=≴∭⊉-12126","layer":2},{"info":"≴∭⊉5555⪷=NaN","layer":3},{"info":"≴∭⊉5042≀⩗∶≴∭⊉10533=≴∭⊉-3","layer":3},{"info":"NaN+⇶⊼≴∭⊉-3=NaN","layer":2},{"info":"≴∭⊉-12126⫌⩉⩟NaN=≴∭⊉-101","layer":1},{"info":"↩⪖≴∭⊉-101=≴∭⊉-11053","layer":0}]}
+{"id":570,"expression_no_base_symbol":"(⊽($1339$⩍⋽⫝̸$1314$⩚⊴⇥(⨣⨃⇪$1956$)))↙(⇜⊴(→⩰$2237$∴$7119$))","expression":"(⊽(≴∭⊉3622⩍⋽⫝̸≴∭⊉3555⩚⊴⇥(⨣⨃⇪≴∭⊉5463)))↙(⇜⊴(→⩰≴∭⊉6344∴≴∭⊉26520))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":6625,"operation_count":8,"complexity_ratio":828.125,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":1339,"base":7},"right_expr":{"type":"numeric_atoms","value":1314,"base":7}},"right_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"numeric_atoms","value":1956,"base":7}}}},"right_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":2237,"base":7},"right_expr":{"type":"numeric_atoms","value":7119,"base":7}}}}},"used_operators":["yyfyN0ffXY","QxG7OkqoLX","NTOWxs364D","BiWNJpBvwn","AcOhelriW5","XwDhCwWbUn","o8Pngz0Tml","hrf7POJlIJ"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","Ph9nP6C5qx","xUOZtlo3hN","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1339","layer":4},{"info":"number node, value=1314","layer":4},{"info":"compute binary expreesion, left_input=1339, right_input=1314, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=368","layer":3},{"info":"number node, value=1956","layer":4},{"info":"compute unary expreesion, input=1956, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":3},{"info":"compute binary expreesion, left_input=368, right_input=1405, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-1894","layer":2},{"info":"compute unary expreesion, input=-1894, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=0","layer":1},{"info":"number node, value=2237","layer":4},{"info":"number node, value=7119","layer":4},{"info":"compute binary expreesion, left_input=2237, right_input=7119, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=6122","layer":3},{"info":"compute unary expreesion, input=6122, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = XwDhCwWbUn, unary_op_definition = '⇜⊴a = { (↩(∓⪦(a≃a))) , if ((a∐⫣)>271 and (a∴779)<=132) ; ((a↢(a⨔⇊a))⊲⩕⊾((a∝a)⊉↱≁(a⊭↱19))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=0","layer":0}],"base":7,"result_base":7,"text":"(⊽(≴∭⊉3622⩍⋽⫝̸≴∭⊉3555⩚⊴⇥(⨣⨃⇪≴∭⊉5463)))↙(⇜⊴(→⩰≴∭⊉6344∴≴∭⊉26520))=≴∭⊉0","reverse_text":"≴∭⊉0=(⊽(≴∭⊉3622⩍⋽⫝̸≴∭⊉3555⩚⊴⇥(⨣⨃⇪≴∭⊉5463)))↙(⇜⊴(→⩰≴∭⊉6344∴≴∭⊉26520))","cot":[{"info":"≴∭⊉3622⩍⋽⫝̸≴∭⊉3555=≴∭⊉1034","layer":3},{"info":"⨣⨃⇪≴∭⊉5463=≴∭⊉4045","layer":3},{"info":"≴∭⊉1034⩚⊴⇥≴∭⊉4045=≴∭⊉-5344","layer":2},{"info":"⊽≴∭⊉-5344=≴∭⊉0","layer":1},{"info":"≴∭⊉6344∴≴∭⊉26520=≴∭⊉23564","layer":3},{"info":"→⩰≴∭⊉23564=NaN","layer":2},{"info":"⇜⊴NaN=NaN","layer":1},{"info":"≴∭⊉0↙NaN=≴∭⊉0","layer":0}]}
+{"id":571,"expression_no_base_symbol":"⇾⩊⇾((∑⇻≧$2635$)↢($6054$⋳⪒$2531$)⩨(∐⩳⋚(⊖$8818$)))","expression":"⇾⩊⇾((∑⇻≧≴∭⊉10453)↢(≴∭⊉23436⋳⪒≴∭⊉10244)⩨(∐⩳⋚(⊖≴∭⊉34465)))","highest_n_order":2,"priority_hierarchical_complexity":7,"normalized_expansion_degree":184,"operation_count":7,"complexity_ratio":26.285714285714285,"tree":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"numeric_atoms","value":2635,"base":7}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":6054,"base":7},"right_expr":{"type":"numeric_atoms","value":2531,"base":7}}},"right_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"numeric_atoms","value":8818,"base":7}}}}},"used_operators":["bx9Z9DAK5y","2DlMacCsIx","WR6HLWljOP","l1M9WJ3V7u","12rbrZMWeM","SL6IHkK8vl","U6pG0PXrV3"],"dependent_operators":["W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","rysDP5nf3Z","t8gj7n24qd","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx"],"result":"≴∭⊉-25032","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2635","layer":4},{"info":"compute unary expreesion, input=2635, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":3},{"info":"number node, value=6054","layer":4},{"info":"number node, value=2531","layer":4},{"info":"compute binary expreesion, left_input=6054, right_input=2531, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=9290","layer":3},{"info":"compute binary expreesion, left_input=-852, right_input=9290, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=16876","layer":2},{"info":"number node, value=8818","layer":4},{"info":"compute unary expreesion, input=8818, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=-27694","layer":2},{"info":"compute binary expreesion, left_input=16876, right_input=-27694, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=6","layer":1},{"info":"compute unary expreesion, input=6, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-6540","layer":0}],"base":7,"result_base":7,"text":"⇾⩊⇾((∑⇻≧≴∭⊉10453)↢(≴∭⊉23436⋳⪒≴∭⊉10244)⩨(∐⩳⋚(⊖≴∭⊉34465)))=≴∭⊉-25032","reverse_text":"≴∭⊉-25032=⇾⩊⇾((∑⇻≧≴∭⊉10453)↢(≴∭⊉23436⋳⪒≴∭⊉10244)⩨(∐⩳⋚(⊖≴∭⊉34465)))","cot":[{"info":"∑⇻≧≴∭⊉10453=≴∭⊉-2325","layer":3},{"info":"≴∭⊉23436⋳⪒≴∭⊉10244=≴∭⊉36041","layer":3},{"info":"≴∭⊉-2325↢≴∭⊉36041=≴∭⊉100126","layer":2},{"info":"⊖≴∭⊉34465=≴∭⊉0","layer":3},{"info":"∐⩳⋚≴∭⊉0=≴∭⊉-143512","layer":2},{"info":"≴∭⊉100126⩨≴∭⊉-143512=≴∭⊉6","layer":1},{"info":"⇾⩊⇾≴∭⊉6=≴∭⊉-25032","layer":0}]}
+{"id":572,"expression_no_base_symbol":"(⩦⊞(⩦⩻⨪$6494$⫁⪎$3031$))⪡(($2286$⫚↹⊑$1939$)∝($1533$↑)↡⊰⫅($3353$⋹⋡⊁$4803$∲⫓(↸⊣$4162$)))","expression":"(⩦⊞(⩦⩻⨪≴∭⊉24635⫁⪎≴∭⊉11560))⪡((≴∭⊉6444⫚↹⊑≴∭⊉5440)∝(≴∭⊉4320↑)↡⊰⫅(≴∭⊉12530⋹⋡⊁≴∭⊉20001∲⫓(↸⊣≴∭⊉15064)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":140359,"operation_count":11,"complexity_ratio":12759.90909090909,"tree":{"type":"binary","operator":"⪡","left_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":6494,"base":7},"right_expr":{"type":"numeric_atoms","value":3031,"base":7}}}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":2286,"base":7},"right_expr":{"type":"numeric_atoms","value":1939,"base":7}},"right_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"numeric_atoms","value":1533,"base":7}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":3353,"base":7},"right_expr":{"type":"numeric_atoms","value":4803,"base":7}},"right_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"numeric_atoms","value":4162,"base":7}}}}},"used_operators":["oraRL2iQuh","u7fv1HBiaC","2td37pGCOC","xRrnTEsQ6j","VCtxkLNOzz","cTDWOvIxvz","dfKe02y8D2","BThhyOhh10","i8ToyICDmI","As8RqfVLgs","wztAlM01eG"],"dependent_operators":["2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","7j4O788W3g","W4YGzv6Whe","COABgblf1C","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","i8ToyICDmI","3EYGwJThht","xNBdhnnwKq","W4YGzv6Whe","t8gj7n24qd","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE"],"result":"≴∭⊉30265","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6494","layer":4},{"info":"number node, value=3031","layer":4},{"info":"compute binary expreesion, left_input=6494, right_input=3031, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=3463","layer":3},{"info":"compute unary expreesion, input=3463, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=3463","layer":2},{"info":"compute unary expreesion, input=3463, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-3190","layer":1},{"info":"number node, value=2286","layer":4},{"info":"number node, value=1939","layer":4},{"info":"compute binary expreesion, left_input=2286, right_input=1939, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"number node, value=1533","layer":4},{"info":"compute unary expreesion, input=1533, op_id = BThhyOhh10, unary_op_definition = 'a↑ = { ((a∲⫓a)⇄(262⊭∹↮)) }', output=222","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=222, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=-442","layer":2},{"info":"number node, value=3353","layer":4},{"info":"number node, value=4803","layer":4},{"info":"compute binary expreesion, left_input=3353, right_input=4803, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=5553","layer":3},{"info":"number node, value=4162","layer":4},{"info":"compute unary expreesion, input=4162, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-3875","layer":3},{"info":"compute binary expreesion, left_input=5553, right_input=-3875, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=5553","layer":2},{"info":"compute binary expreesion, left_input=-442, right_input=5553, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=11106","layer":1},{"info":"compute binary expreesion, left_input=-3190, right_input=11106, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=7348","layer":0}],"base":7,"result_base":7,"text":"(⩦⊞(⩦⩻⨪≴∭⊉24635⫁⪎≴∭⊉11560))⪡((≴∭⊉6444⫚↹⊑≴∭⊉5440)∝(≴∭⊉4320↑)↡⊰⫅(≴∭⊉12530⋹⋡⊁≴∭⊉20001∲⫓(↸⊣≴∭⊉15064)))=≴∭⊉30265","reverse_text":"≴∭⊉30265=(⩦⊞(⩦⩻⨪≴∭⊉24635⫁⪎≴∭⊉11560))⪡((≴∭⊉6444⫚↹⊑≴∭⊉5440)∝(≴∭⊉4320↑)↡⊰⫅(≴∭⊉12530⋹⋡⊁≴∭⊉20001∲⫓(↸⊣≴∭⊉15064)))","cot":[{"info":"≴∭⊉24635⫁⪎≴∭⊉11560=≴∭⊉13045","layer":3},{"info":"⩦⩻⨪≴∭⊉13045=≴∭⊉13045","layer":2},{"info":"⩦⊞≴∭⊉13045=≴∭⊉-12205","layer":1},{"info":"≴∭⊉6444⫚↹⊑≴∭⊉5440=≴∭⊉-1206","layer":3},{"info":"≴∭⊉4320↑=≴∭⊉435","layer":3},{"info":"≴∭⊉-1206∝≴∭⊉435=≴∭⊉-1201","layer":2},{"info":"≴∭⊉12530⋹⋡⊁≴∭⊉20001=≴∭⊉22122","layer":3},{"info":"↸⊣≴∭⊉15064=≴∭⊉-14204","layer":3},{"info":"≴∭⊉22122∲⫓≴∭⊉-14204=≴∭⊉22122","layer":2},{"info":"≴∭⊉-1201↡⊰⫅≴∭⊉22122=≴∭⊉44244","layer":1},{"info":"≴∭⊉-12205⪡≴∭⊉44244=≴∭⊉30265","layer":0}]}
+{"id":573,"expression_no_base_symbol":"($6894$∀⇚≩$1498$⩹$1477$⫔⩽⩺$4333$)∣($1357$↤⩊$2963$⨳⩥⨓(∨∊⋏$1393$))∽(($3996$⋅⇍$1990$)⇩)⋛($5360$⊮⊟↴$3159$)⪝(⋣$1402$)","expression":"(≴∭⊉26046∀⇚≩≴∭⊉4240⩹≴∭⊉4210⫔⩽⩺≴∭⊉15430)∣(≴∭⊉3646↤⩊≴∭⊉11432⨳⩥⨓(∨∊⋏≴∭⊉4030))∽((≴∭⊉14436⋅⇍≴∭⊉5542)⇩)⋛(≴∭⊉21425⊮⊟↴≴∭⊉12132)⪝(⋣≴∭⊉4042)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":49254,"operation_count":14,"complexity_ratio":3518.1428571428573,"tree":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":6894,"base":7},"right_expr":{"type":"numeric_atoms","value":1498,"base":7}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":1477,"base":7},"right_expr":{"type":"numeric_atoms","value":4333,"base":7}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":1357,"base":7},"right_expr":{"type":"numeric_atoms","value":2963,"base":7}},"right_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"numeric_atoms","value":1393,"base":7}}}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"unary","operator":"⇩","unary_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":3996,"base":7},"right_expr":{"type":"numeric_atoms","value":1990,"base":7}}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":5360,"base":7},"right_expr":{"type":"numeric_atoms","value":3159,"base":7}},"right_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"numeric_atoms","value":1402,"base":7}}}}},"used_operators":["y4ImoPnbV5","PPChnnnBFF","2Wsdkap16l","LRNGc0VcxI","i9eR4S00cU","nCS4ZIUYfx","13rbtpv6ld","R5aXW34M0v","YbUVn0Rbpy","vRio1gEz1j","AdZkA7nFnk","wicAB68Tmb","QDVgd2eftb","zQWRhDnn8F"],"dependent_operators":["NTOWxs364D","QMFrweE19q","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","X99M06cbEe","Tw270M8GLb","fu6greOZ01","W4YGzv6Whe","rysDP5nf3Z","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","W4YGzv6Whe","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6894","layer":4},{"info":"number node, value=1498","layer":4},{"info":"compute binary expreesion, left_input=6894, right_input=1498, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1477","layer":4},{"info":"number node, value=4333","layer":4},{"info":"compute binary expreesion, left_input=1477, right_input=4333, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=nan","layer":2},{"info":"number node, value=1357","layer":4},{"info":"number node, value=2963","layer":4},{"info":"compute binary expreesion, left_input=1357, right_input=2963, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"number node, value=1393","layer":4},{"info":"compute unary expreesion, input=1393, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=20231","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=20231, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=nan","layer":1},{"info":"number node, value=3996","layer":4},{"info":"number node, value=1990","layer":4},{"info":"compute binary expreesion, left_input=3996, right_input=1990, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"compute unary expreesion, input=-22, op_id = vRio1gEz1j, unary_op_definition = 'a⇩ = { (a+93) }', output=71","layer":2},{"info":"number node, value=5360","layer":4},{"info":"number node, value=3159","layer":4},{"info":"compute binary expreesion, left_input=5360, right_input=3159, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"number node, value=1402","layer":4},{"info":"compute unary expreesion, input=1402, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝���⫅a)⪨≂(⇉-⫰26))) , else }', output=-412093","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-412093, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-1648771","layer":2},{"info":"compute binary expreesion, left_input=71, right_input=-1648771, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-4945668","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-4945668, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉26046∀⇚≩≴∭⊉4240⩹≴∭⊉4210⫔⩽⩺≴∭⊉15430)∣(≴∭⊉3646↤⩊≴∭⊉11432⨳⩥⨓(∨∊⋏≴∭⊉4030))∽((≴∭⊉14436⋅⇍≴∭⊉5542)⇩)⋛(≴∭⊉21425⊮⊟↴≴∭⊉12132)⪝(⋣≴∭⊉4042)=NaN","reverse_text":"NaN=(≴∭⊉26046∀⇚≩≴∭⊉4240⩹≴∭⊉4210⫔⩽⩺≴∭⊉15430)∣(≴∭⊉3646↤⩊≴∭⊉11432⨳⩥⨓(∨∊⋏≴∭⊉4030))∽((≴∭⊉14436⋅⇍≴∭⊉5542)⇩)⋛(≴∭⊉21425⊮⊟↴≴∭⊉12132)⪝(⋣≴∭⊉4042)","cot":[{"info":"≴∭⊉26046∀⇚≩≴∭⊉4240=NaN","layer":3},{"info":"≴∭⊉4210⫔⩽⩺≴∭⊉15430=NaN","layer":3},{"info":"NaN⩹NaN=NaN","layer":2},{"info":"≴∭⊉3646↤⩊≴∭⊉11432=NaN","layer":3},{"info":"∨∊⋏≴∭⊉4030=≴∭⊉112661","layer":3},{"info":"NaN⨳⩥⨓≴∭⊉112661=NaN","layer":2},{"info":"NaN∣NaN=NaN","layer":1},{"info":"≴∭⊉14436⋅⇍≴∭⊉5542=≴∭⊉-31","layer":3},{"info":"≴∭⊉-31⇩=≴∭⊉131","layer":2},{"info":"≴∭⊉21425⊮⊟↴≴∭⊉12132=≴∭⊉0","layer":3},{"info":"⋣≴∭⊉4042=≴∭⊉-3334303","layer":3},{"info":"≴∭⊉0⪝≴∭⊉-3334303=≴∭⊉-20004625","layer":2},{"info":"≴∭⊉131⋛≴∭⊉-20004625=≴∭⊉-60015600","layer":1},{"info":"NaN∽≴∭⊉-60015600=NaN","layer":0}]}
+{"id":574,"expression_no_base_symbol":"⪛⨧($2106$⨚⇆$2146$⨰(⊬↢$7097$))⪬((⊤⊝$1223$)≨(∷≠$1595$))","expression":"⪛⨧(≴∭⊉6066⨚⇆≴∭⊉6154⨰(⊬↢≴∭⊉26456))⪬((⊤⊝≴∭⊉3365)≨(∷≠≴∭⊉4436))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":22580,"operation_count":8,"complexity_ratio":2822.5,"tree":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":2106,"base":7},"right_expr":{"type":"numeric_atoms","value":2146,"base":7}},"right_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"numeric_atoms","value":7097,"base":7}}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"numeric_atoms","value":1223,"base":7}},"right_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"numeric_atoms","value":1595,"base":7}}}}},"used_operators":["6NJAcO2OWT","Ez1Nq5fNfI","eewbuw0ToL","lwHaAYXP2r","WPoGxAaPR1","0KMCeP1Jsh","rXAclfmB4M","QiR2Oyf5Xj"],"dependent_operators":["JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","sdazOOVcIp","7j4O788W3g"],"result":"≴∭⊉14165","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2106","layer":4},{"info":"number node, value=2146","layer":4},{"info":"compute binary expreesion, left_input=2106, right_input=2146, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"number node, value=7097","layer":4},{"info":"compute unary expreesion, input=7097, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=218","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=218, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"number node, value=1223","layer":4},{"info":"compute unary expreesion, input=1223, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=1148","layer":3},{"info":"number node, value=1595","layer":4},{"info":"compute unary expreesion, input=1595, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=1595","layer":3},{"info":"compute binary expreesion, left_input=1148, right_input=1595, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-9004","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-9004, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":1},{"info":"compute unary expreesion, input=1234, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=3869","layer":0}],"base":7,"result_base":7,"text":"⪛⨧(≴∭⊉6066⨚⇆≴∭⊉6154⨰(⊬↢≴∭⊉26456))⪬((⊤⊝≴∭⊉3365)≨(∷≠≴∭⊉4436))=≴∭⊉14165","reverse_text":"≴∭⊉14165=⪛⨧(≴∭⊉6066⨚⇆≴∭⊉6154⨰(⊬↢≴∭⊉26456))⪬((⊤⊝≴∭⊉3365)≨(∷≠≴∭⊉4436))","cot":[{"info":"≴∭⊉6066⨚⇆≴∭⊉6154=NaN","layer":3},{"info":"⊬↢≴∭⊉26456=≴∭⊉431","layer":3},{"info":"NaN⨰≴∭⊉431=NaN","layer":2},{"info":"⊤⊝≴∭⊉3365=≴∭⊉3230","layer":3},{"info":"∷≠≴∭⊉4436=≴∭⊉4436","layer":3},{"info":"≴∭⊉3230≨≴∭⊉4436=≴∭⊉-35152","layer":2},{"info":"NaN⪬≴∭⊉-35152=≴∭⊉3412","layer":1},{"info":"⪛⨧≴∭⊉3412=≴∭⊉14165","layer":0}]}
+{"id":575,"expression_no_base_symbol":"(($2153$⋾⨃∁$3359$⇡)⫲)⫰⋱((⊥$1594$∴$4628$)⇮⋭(($5053$≬⋮$3443$)⨉))","expression":"((≴∭⊉6164⋾⨃∁≴∭⊉12536⇡)⫲)⫰⋱((⊥≴∭⊉4435∴≴∭⊉16331)⇮⋭((≴∭⊉20506≬⋮≴∭⊉13016)⨉))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4422,"operation_count":9,"complexity_ratio":491.3333333333333,"tree":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"unary","operator":"⫲","unary_expr":{"type":"unary","operator":"⇡","unary_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":2153,"base":7},"right_expr":{"type":"numeric_atoms","value":3359,"base":7}}}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":1594,"base":7},"right_expr":{"type":"numeric_atoms","value":4628,"base":7}}},"right_expr":{"type":"unary","operator":"⨉","unary_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":5053,"base":7},"right_expr":{"type":"numeric_atoms","value":3443,"base":7}}}}},"used_operators":["6o9Blt3TJ6","9xnGDUPbC6","UqFzSgLMvQ","212REbPD9h","vkpjKywKVM","Q3PJZHRvZv","hrf7POJlIJ","aMUSaJuDRU","kbkesczE7y"],"dependent_operators":["W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","NTOWxs364D","Qy55tPpLXF","DZ8iAZOCBD","8w2t5hMYqp","2DDjHMKMc0","AF7qkfDlqP","3sJ7IOPOlU","sJAwomhLZr","4JB6nKBMSY","k2HlF1dBQh","BiWNJpBvwn","YSKBFp38Pu","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","fu6greOZ01","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","tmPS8pqC7x","g55IO6H4Gj","qWUSsah53b","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2153","layer":4},{"info":"number node, value=3359","layer":4},{"info":"compute binary expreesion, left_input=2153, right_input=3359, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=112788408","layer":3},{"info":"compute unary expreesion, input=112788408, op_id = UqFzSgLMvQ, unary_op_definition = 'a⇡ = { (((a⇴a)⪇≇⋚(∤27))⇤((a⩍⋽⫝̸27)⩠)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 9xnGDUPbC6, unary_op_definition = 'a⫲ = { ((272⩚⊴⇥36)⊉≛↸(⨑⩽⪐a)) , if (⊄⩳↩a)<13 ; ((a⩚⊴⇥a)⋝⋈⪟(533⋥≓≎a)) , else }', output=nan","layer":1},{"info":"number node, value=1594","layer":4},{"info":"number node, value=4628","layer":4},{"info":"compute binary expreesion, left_input=1594, right_input=4628, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=4836","layer":3},{"info":"compute unary expreesion, input=4836, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"number node, value=5053","layer":4},{"info":"number node, value=3443","layer":4},{"info":"compute binary expreesion, left_input=5053, right_input=3443, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"compute unary expreesion, input=868, op_id = aMUSaJuDRU, unary_op_definition = 'a⨉ = { ((⫡⇟⇯148)⨸⪁(a⨪↰⇹a)) }', output=4064","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=4064, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉6164⋾⨃∁≴∭⊉12536⇡)⫲)⫰⋱((⊥≴∭⊉4435∴≴∭⊉16331)⇮⋭((≴∭⊉20506≬⋮≴∭⊉13016)⨉))=NaN","reverse_text":"NaN=((≴∭⊉6164⋾⨃∁≴∭⊉12536⇡)⫲)⫰⋱((⊥≴∭⊉4435∴≴∭⊉16331)⇮⋭((≴∭⊉20506≬⋮≴∭⊉13016)⨉))","cot":[{"info":"≴∭⊉6164⋾⨃∁≴∭⊉12536=≴∭⊉2536454115","layer":3},{"info":"≴∭⊉2536454115⇡=NaN","layer":2},{"info":"NaN⫲=NaN","layer":1},{"info":"≴∭⊉4435∴≴∭⊉16331=≴∭⊉20046","layer":3},{"info":"⊥≴∭⊉20046=NaN","layer":2},{"info":"≴∭⊉20506≬⋮≴∭⊉13016=≴∭⊉2350","layer":3},{"info":"≴∭⊉2350⨉=≴∭⊉14564","layer":2},{"info":"NaN⇮⋭≴∭⊉14564=≴∭⊉124","layer":1},{"info":"NaN⫰⋱≴∭⊉124=NaN","layer":0}]}
+{"id":576,"expression_no_base_symbol":"(($2341$⩍⋽⫝̸$1260$↸$1215$⨓$3348$)≭($1127$∷)⨓$1155$⇤$1529$)⋩≍≻","expression":"((≴∭⊉6553⩍⋽⫝̸≴∭⊉3450↸≴∭⊉3354⨓≴∭⊉12522)≭(≴∭⊉3200∷)⨓≴∭⊉3240⇤≴∭⊉4313)⋩≍≻","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":14296,"operation_count":8,"complexity_ratio":1787.0,"tree":{"type":"unary","operator":"⋩≍≻","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":2341,"base":7},"right_expr":{"type":"numeric_atoms","value":1260,"base":7}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1215,"base":7},"right_expr":{"type":"numeric_atoms","value":3348,"base":7}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"∷","unary_expr":{"type":"numeric_atoms","value":1127,"base":7}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":1155,"base":7},"right_expr":{"type":"numeric_atoms","value":1529,"base":7}}}}},"used_operators":["WYd1w68Nbz","rxpJgHHUmx","1eCjFl0mb9","BiWNJpBvwn","3ViojmjbAp","nFAOW8KTqp","YSKBFp38Pu"],"dependent_operators":["P8v4zCKN1o","Noe24qw2ks","mqXw5SEYmG","IWmyXbctLI","COABgblf1C","AHs5Up7iyr","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","Ph9nP6C5qx","xUOZtlo3hN","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","D4vGDi5EA2","t8gj7n24qd","2DDjHMKMc0","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2341","layer":4},{"info":"number node, value=1260","layer":4},{"info":"compute binary expreesion, left_input=2341, right_input=1260, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=314","layer":3},{"info":"number node, value=1215","layer":4},{"info":"number node, value=3348","layer":4},{"info":"compute binary expreesion, left_input=1215, right_input=3348, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3351","layer":3},{"info":"compute binary expreesion, left_input=314, right_input=-3351, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=314","layer":2},{"info":"number node, value=1127","layer":4},{"info":"compute unary expreesion, input=1127, op_id = nFAOW8KTqp, unary_op_definition = 'a∷ = { ((-(a⋝⋈⪟a))≦≮≮) }', output=3381","layer":3},{"info":"number node, value=1155","layer":4},{"info":"number node, value=1529","layer":4},{"info":"compute binary expreesion, left_input=1155, right_input=1529, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-10572","layer":3},{"info":"compute binary expreesion, left_input=3381, right_input=-10572, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=10569","layer":2},{"info":"compute binary expreesion, left_input=314, right_input=10569, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = WYd1w68Nbz, unary_op_definition = 'a⋩≍≻ = { (∥⊫(a⊭↱21)) , if a>=390 ; ((a⨐a)⫸⊐(a⪮%⊝a)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉6553⩍⋽⫝̸≴∭⊉3450↸≴∭⊉3354⨓≴∭⊉12522)≭(≴∭⊉3200∷)⨓≴∭⊉3240⇤≴∭⊉4313)⋩≍≻=NaN","reverse_text":"NaN=((≴∭⊉6553⩍⋽⫝̸≴∭⊉3450↸≴∭⊉3354⨓≴∭⊉12522)≭(≴∭⊉3200∷)⨓≴∭⊉3240⇤≴∭⊉4313)⋩≍≻","cot":[{"info":"≴∭⊉6553⩍⋽⫝̸≴∭⊉3450=≴∭⊉626","layer":3},{"info":"≴∭⊉3354⨓≴∭⊉12522=≴∭⊉-12525","layer":3},{"info":"≴∭⊉626��≴∭⊉-12525=≴∭⊉626","layer":2},{"info":"≴∭⊉3200∷=≴∭⊉12600","layer":3},{"info":"≴∭⊉3240⇤≴∭⊉4313=≴∭⊉-42552","layer":3},{"info":"≴∭⊉12600⨓≴∭⊉-42552=≴∭⊉42546","layer":2},{"info":"≴∭⊉626≭≴∭⊉42546=NaN","layer":1},{"info":"NaN⋩≍≻=NaN","layer":0}]}
+{"id":577,"expression_no_base_symbol":"($1134$⪉⨛$1966$)⩦($2650$⨸⪁$1176$)∴($4574$⪮%⊝$1650$⇼⇔∾$7292$≌$3188$)∳⫺(⋎⨆(⨵≀≌$8620$⇷$2096$))","expression":"(≴∭⊉3210⪉⨛≴∭⊉5506)⩦(≴∭⊉10504⨸⪁≴∭⊉3300)∴(≴∭⊉16223⪮%⊝≴∭⊉4545⇼⇔∾≴∭⊉30155≌≴∭⊉12203)∳⫺(⋎⨆(⨵≀≌≴∭⊉34063⇷≴∭⊉6053))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":124350,"operation_count":11,"complexity_ratio":11304.545454545454,"tree":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":1134,"base":7},"right_expr":{"type":"numeric_atoms","value":1966,"base":7}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2650,"base":7},"right_expr":{"type":"numeric_atoms","value":1176,"base":7}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":4574,"base":7},"right_expr":{"type":"numeric_atoms","value":1650,"base":7}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":7292,"base":7},"right_expr":{"type":"numeric_atoms","value":3188,"base":7}}}},"right_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":8620,"base":7},"right_expr":{"type":"numeric_atoms","value":2096,"base":7}}}}},"used_operators":["AzXXKTstlj","hrf7POJlIJ","0kmYd0q39Y","EWw2JM7wp4","g55IO6H4Gj","tifHPKVTfV","IWmyXbctLI","lyWz822IDG","E64sFOc4tB","srAu1WTS94","mp7IySMOzn"],"dependent_operators":["F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"≴∭⊉-261112043","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1134","layer":4},{"info":"number node, value=1966","layer":4},{"info":"compute binary expreesion, left_input=1134, right_input=1966, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=1651","layer":3},{"info":"number node, value=2650","layer":4},{"info":"number node, value=1176","layer":4},{"info":"compute binary expreesion, left_input=2650, right_input=1176, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=7652","layer":3},{"info":"compute binary expreesion, left_input=1651, right_input=7652, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=3302","layer":2},{"info":"number node, value=4574","layer":4},{"info":"number node, value=1650","layer":4},{"info":"compute binary expreesion, left_input=4574, right_input=1650, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=9464","layer":3},{"info":"number node, value=7292","layer":4},{"info":"number node, value=3188","layer":4},{"info":"compute binary expreesion, left_input=7292, right_input=3188, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=9464, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=3302, right_input=nan, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=8252","layer":1},{"info":"number node, value=8620","layer":4},{"info":"number node, value=2096","layer":4},{"info":"compute binary expreesion, left_input=8620, right_input=2096, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4192","layer":3},{"info":"compute unary expreesion, input=4192, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-12576","layer":2},{"info":"compute unary expreesion, input=-12576, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=8320752","layer":1},{"info":"compute binary expreesion, left_input=8252, right_input=8320752, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-16608434","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉3210⪉⨛≴∭⊉5506)⩦(≴∭⊉10504⨸⪁≴∭⊉3300)∴(≴∭⊉16223⪮%⊝≴∭⊉4545⇼⇔∾≴∭⊉30155≌≴∭⊉12203)∳⫺(⋎⨆(⨵≀≌≴∭⊉34063⇷≴∭⊉6053))=≴∭⊉-261112043","reverse_text":"≴∭⊉-261112043=(≴∭⊉3210⪉⨛≴∭⊉5506)⩦(≴∭⊉10504⨸⪁≴∭⊉3300)∴(≴∭⊉16223⪮%⊝≴∭⊉4545⇼⇔∾≴∭⊉30155≌≴∭⊉12203)∳⫺(⋎⨆(⨵≀≌≴∭⊉34063⇷≴∭⊉6053))","cot":[{"info":"≴∭⊉3210⪉⨛≴∭⊉5506=≴∭⊉4546","layer":3},{"info":"≴∭⊉10504⨸⪁≴∭⊉3300=≴∭⊉31211","layer":3},{"info":"≴∭⊉4546⩦≴∭⊉31211=≴∭⊉12425","layer":2},{"info":"≴∭⊉16223⪮%⊝≴∭⊉4545=≴∭⊉36410","layer":3},{"info":"≴∭⊉30155≌≴∭⊉12203=NaN","layer":3},{"info":"≴∭⊉36410⇼⇔∾NaN=NaN","layer":2},{"info":"≴∭⊉12425∴NaN=≴∭⊉33026","layer":1},{"info":"≴∭⊉34063⇷≴∭⊉6053=≴∭⊉15136","layer":3},{"info":"⨵≀≌≴∭⊉15136=≴∭⊉-51444","layer":2},{"info":"⋎⨆≴∭⊉-51444=≴∭⊉130503516","layer":1},{"info":"≴∭⊉33026∳⫺≴∭⊉130503516=≴∭⊉-261112043","layer":0}]}
+{"id":578,"expression_no_base_symbol":"(($3490$⇍⊗$4345$≋⫹)⨵⪆($4070$⨟⋌⩍$3639$)⊢$1407$⪟⇏$1021$)⫌⩉⩟($1290$⨻⩈⩔$2642$↙(↣≠⋷$1795$))↞⋁(⩦⊞($1372$⩘$4597$))","expression":"((≴∭⊉13114⇍⊗≴∭⊉15445≋⫹)⨵⪆(≴∭⊉14603⨟⋌⩍≴∭⊉13416)⊢≴∭⊉4050⪟⇏≴∭⊉2656)⫌⩉⩟(≴∭⊉3522⨻⩈⩔≴∭⊉10463↙(↣≠⋷≴∭⊉5143))↞⋁(⩦⊞(≴∭⊉4000⩘≴∭⊉16255))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":981,"operation_count":13,"complexity_ratio":75.46153846153847,"tree":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":3490,"base":7},"right_expr":{"type":"numeric_atoms","value":4345,"base":7}}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":4070,"base":7},"right_expr":{"type":"numeric_atoms","value":3639,"base":7}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":1407,"base":7},"right_expr":{"type":"numeric_atoms","value":1021,"base":7}}}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":1290,"base":7},"right_expr":{"type":"numeric_atoms","value":2642,"base":7}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1795,"base":7}}},"right_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":1372,"base":7},"right_expr":{"type":"numeric_atoms","value":4597,"base":7}}}}},"used_operators":["XIIwhv8d0m","2DQ55sFlQl","N41Kp7NANJ","5uvYHDjeKN","5twsqlHp2o","rGHVDoGpnC","GODebY97qR","RqrPlJkxDo","yyfyN0ffXY","nEsXyWgiOK","Asc51vEJeQ","u7fv1HBiaC","cHh1gJQ2o6"],"dependent_operators":["B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","Tcnh7f0tEr","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","tmPS8pqC7x","DpFCA1CohY","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","XhwjNDsVaA","AHs5Up7iyr","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o"],"result":"≴∭⊉-101","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=3490","layer":4},{"info":"number node, value=4345","layer":4},{"info":"compute binary expreesion, left_input=3490, right_input=4345, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"compute unary expreesion, input=-244, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=488","layer":2},{"info":"number node, value=4070","layer":4},{"info":"number node, value=3639","layer":4},{"info":"compute binary expreesion, left_input=4070, right_input=3639, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1407","layer":4},{"info":"number node, value=1021","layer":4},{"info":"compute binary expreesion, left_input=1407, right_input=1021, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=488, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=1290","layer":4},{"info":"number node, value=2642","layer":4},{"info":"compute binary expreesion, left_input=1290, right_input=2642, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":3},{"info":"number node, value=1795","layer":4},{"info":"compute unary expreesion, input=1795, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-174, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-174","layer":2},{"info":"number node, value=1372","layer":4},{"info":"number node, value=4597","layer":4},{"info":"compute binary expreesion, left_input=1372, right_input=4597, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=264","layer":2},{"info":"compute binary expreesion, left_input=-174, right_input=264, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉13114⇍⊗≴∭⊉15445≋⫹)⨵⪆(≴∭⊉14603⨟⋌⩍≴∭⊉13416)⊢≴∭⊉4050⪟⇏≴∭⊉2656)⫌⩉⩟(≴∭⊉3522⨻⩈⩔≴∭⊉10463↙(↣≠⋷≴∭⊉5143))↞⋁(⩦⊞(≴∭⊉4000⩘≴∭⊉16255))=≴∭⊉-101","reverse_text":"≴∭⊉-101=((≴∭⊉13114⇍⊗≴∭⊉15445≋⫹)⨵⪆(≴∭⊉14603⨟⋌⩍≴∭⊉13416)⊢≴∭⊉4050⪟⇏≴∭⊉2656)⫌⩉⩟(≴∭⊉3522⨻⩈⩔≴∭⊉10463↙(↣≠⋷≴∭⊉5143))↞⋁(⩦⊞(≴∭⊉4000⩘≴∭⊉16255))","cot":[{"info":"≴∭⊉13114⇍⊗≴∭⊉15445=≴∭⊉-466","layer":3},{"info":"≴∭⊉-466≋⫹=≴∭⊉1265","layer":2},{"info":"≴∭⊉14603⨟⋌⩍≴∭⊉13416=NaN","layer":3},{"info":"≴∭⊉4050⪟⇏≴∭⊉2656=≴∭⊉-1","layer":3},{"info":"NaN⊢≴∭⊉-1=NaN","layer":2},{"info":"≴∭⊉1265⨵⪆NaN=≴∭⊉316","layer":1},{"info":"≴∭⊉3522⨻⩈⩔≴∭⊉10463=≴∭⊉-336","layer":3},{"info":"↣≠⋷≴∭⊉5143=NaN","layer":3},{"info":"≴∭⊉-336↙NaN=≴∭⊉-336","layer":2},{"info":"≴∭⊉4000⩘≴∭⊉16255=≴∭⊉316","layer":3},{"info":"⩦⊞≴∭⊉316=≴∭⊉525","layer":2},{"info":"≴∭⊉-336↞⋁≴∭⊉525=NaN","layer":1},{"info":"≴∭⊉316⫌⩉⩟NaN=≴∭⊉-101","layer":0}]}
+{"id":579,"expression_no_base_symbol":"(⊿(($1833$∠⫱$2019$)⨎⋸⪻))⫁⪎($3329$⪨⊡$2207$⊍⩺⋍$9052$⨼⩣$1491$)↢(⫛⫱⨽(⨛$4378$))","expression":"(⊿((≴∭⊉5226∠⫱≴∭⊉5613)⨎⋸⪻))⫁⪎(≴∭⊉12464⪨⊡≴∭⊉6302⊍⩺⋍≴∭⊉35251⨼⩣≴∭⊉4230)↢(⫛⫱⨽(⨛≴∭⊉15523))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1631,"operation_count":10,"complexity_ratio":163.1,"tree":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"unary","operator":"⨎⋸⪻","unary_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":1833,"base":7},"right_expr":{"type":"numeric_atoms","value":2019,"base":7}}}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":3329,"base":7},"right_expr":{"type":"numeric_atoms","value":2207,"base":7}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":9052,"base":7},"right_expr":{"type":"numeric_atoms","value":1491,"base":7}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"numeric_atoms","value":4378,"base":7}}}}},"used_operators":["xRrnTEsQ6j","DO4fhlbJSI","Dk5vyLCiGd","QvoQhV0rrE","WR6HLWljOP","OXDGMFPWZM","kuIXHzHcAH","JxwMv5le6e","DlLNRPXxWL","CoMdbyAt7R"],"dependent_operators":["P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","IWmyXbctLI","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","rGHVDoGpnC","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1833","layer":4},{"info":"number node, value=2019","layer":4},{"info":"compute binary expreesion, left_input=1833, right_input=2019, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = Dk5vyLCiGd, unary_op_definition = 'a⨎⋸⪻ = { (a⪮%⊝26) }', output=2784","layer":2},{"info":"compute unary expreesion, input=2784, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-11874","layer":1},{"info":"number node, value=3329","layer":4},{"info":"number node, value=2207","layer":4},{"info":"compute binary expreesion, left_input=3329, right_input=2207, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=9052","layer":4},{"info":"number node, value=1491","layer":4},{"info":"compute binary expreesion, left_input=9052, right_input=1491, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":2},{"info":"number node, value=4378","layer":4},{"info":"compute unary expreesion, input=4378, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-11874, right_input=nan, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(⊿((≴∭⊉5226∠⫱≴∭⊉5613)⨎⋸⪻))⫁⪎(≴∭⊉12464⪨⊡≴∭⊉6302⊍⩺⋍≴∭⊉35251⨼⩣≴∭⊉4230)↢(⫛⫱⨽(⨛≴∭⊉15523))=NaN","reverse_text":"NaN=(⊿((≴∭⊉5226∠⫱≴∭⊉5613)⨎⋸⪻))⫁⪎(≴∭⊉12464⪨⊡≴∭⊉6302⊍⩺⋍≴∭⊉35251⨼⩣≴∭⊉4230)↢(⫛⫱⨽(⨛≴∭⊉15523))","cot":[{"info":"≴∭⊉5226∠⫱≴∭⊉5613=≴∭⊉3412","layer":3},{"info":"≴∭⊉3412⨎⋸⪻=≴∭⊉11055","layer":2},{"info":"⊿≴∭⊉11055=≴∭⊉-46422","layer":1},{"info":"≴∭⊉12464⪨⊡≴∭⊉6302=≴∭⊉0","layer":3},{"info":"≴∭⊉35251⨼⩣≴∭⊉4230=NaN","layer":3},{"info":"≴∭⊉0⊍⩺⋍NaN=NaN","layer":2},{"info":"⨛≴∭⊉15523=NaN","layer":3},{"info":"⫛⫱⨽NaN=NaN","layer":2},{"info":"NaN↢NaN=NaN","layer":1},{"info":"≴∭⊉-46422⫁⪎NaN=NaN","layer":0}]}
+{"id":580,"expression_no_base_symbol":"(⩪∧⨌(⫵↿$3395$)⊲⩕⊾($1883$≎⊠⪸$1913$))⪨≂($2946$⪇≇⋚$2882$⪬∳)∀⇚≩$1139$⩌⋺$8244$⨚(↩⪖$1826$)","expression":"(⩪∧⨌(⫵↿≴∭⊉12620)⊲⩕⊾(≴∭⊉5330≎⊠⪸≴∭⊉5402))⪨≂(≴∭⊉11406⪇≇⋚≴∭⊉11255⪬∳)∀⇚≩≴∭⊉3215⩌⋺≴∭⊉33015⨚(↩⪖≴∭⊉5216)","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":5431,"operation_count":11,"complexity_ratio":493.72727272727275,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"numeric_atoms","value":3395,"base":7}},"right_expr":{"type":"binary","operator":"≎⊠��","left_expr":{"type":"numeric_atoms","value":1883,"base":7},"right_expr":{"type":"numeric_atoms","value":1913,"base":7}}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⪬∳","unary_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":2946,"base":7},"right_expr":{"type":"numeric_atoms","value":2882,"base":7}}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":1139,"base":7},"right_expr":{"type":"numeric_atoms","value":8244,"base":7}},"right_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"numeric_atoms","value":1826,"base":7}}}}},"used_operators":["sdazOOVcIp","6iOiAJX1F8","DmTXOeWf9t","ivGwdmUAux","bJkvcejdHO","LRNGc0VcxI","O9U3z1385E","3sJ7IOPOlU","nREPSIbpBE","g7Hmc5v1ko","fG6uBQFnGz"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","X99M06cbEe","FU0Cs4j7VP","ukq6epAj5P","k7HXdKtiEU","zVYPLywUTj","LYeZOJ0nQG","kuIXHzHcAH","tcjXMdvYtA","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","BjRHVeLaeN","12rbrZMWeM","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3395","layer":4},{"info":"compute unary expreesion, input=3395, op_id = ivGwdmUAux, unary_op_definition = '⫵↿a = { ((a⫃⨇256)∽(a∀⇚≩66)) , if (⇨a)>=1 ; (↯⪼(a⨫⇇↔a)) , else }', output=137","layer":3},{"info":"number node, value=1883","layer":4},{"info":"number node, value=1913","layer":4},{"info":"compute binary expreesion, left_input=1883, right_input=1913, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=487224","layer":3},{"info":"compute binary expreesion, left_input=137, right_input=487224, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-4871062","layer":2},{"info":"compute unary expreesion, input=-4871062, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=-48710620","layer":1},{"info":"number node, value=2946","layer":4},{"info":"number node, value=2882","layer":4},{"info":"compute binary expreesion, left_input=2946, right_input=2882, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = O9U3z1385E, unary_op_definition = 'a⪬∳ = { ((a∋a)⊪) , if ((a⪨⊡684)!=357 and (≘a)<480 and (⊲⪭a)>=673) ; (⫎≠⋺(a↛⩡⫤)) , else }', output=-709","layer":2},{"info":"number node, value=1139","layer":4},{"info":"number node, value=8244","layer":4},{"info":"compute binary expreesion, left_input=1139, right_input=8244, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-9504","layer":3},{"info":"number node, value=1826","layer":4},{"info":"compute unary expreesion, input=1826, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-13938","layer":3},{"info":"compute binary expreesion, left_input=-9504, right_input=-13938, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=37678","layer":2},{"info":"compute binary expreesion, left_input=-709, right_input=37678, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-48710620, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(⩪∧⨌(⫵↿≴∭⊉12620)⊲⩕⊾(≴∭⊉5330≎⊠⪸≴∭⊉5402))⪨≂(≴∭⊉11406⪇≇⋚≴∭⊉11255⪬∳)∀⇚≩≴∭⊉3215⩌⋺≴∭⊉33015⨚(↩⪖≴∭⊉5216)=NaN","reverse_text":"NaN=(⩪∧⨌(⫵↿≴∭⊉12620)⊲⩕⊾(≴∭⊉5330≎⊠⪸≴∭⊉5402))⪨≂(≴∭⊉11406⪇≇⋚≴∭⊉11255⪬∳)∀⇚≩≴∭⊉3215⩌⋺≴∭⊉33015⨚(↩⪖≴∭⊉5216)","cot":[{"info":"⫵↿≴∭⊉12620=≴∭⊉254","layer":3},{"info":"≴∭⊉5330≎⊠⪸≴∭⊉5402=≴∭⊉4066323","layer":3},{"info":"≴∭⊉254⊲⩕⊾≴∭⊉4066323=≴∭⊉-56255230","layer":2},{"info":"⩪∧⨌≴∭⊉-56255230=≴∭⊉-1131014320","layer":1},{"info":"≴∭⊉11406⪇≇⋚≴∭⊉11255=≴∭⊉0","layer":3},{"info":"≴∭⊉0⪬∳=≴∭⊉-2032","layer":2},{"info":"≴∭⊉3215⩌⋺≴∭⊉33015=≴∭⊉-36465","layer":3},{"info":"↩⪖≴∭⊉5216=≴∭⊉-55431","layer":3},{"info":"≴∭⊉-36465⨚≴∭⊉-55431=≴∭⊉214564","layer":2},{"info":"≴∭⊉-2032∀⇚≩≴∭⊉214564=NaN","layer":1},{"info":"≴∭⊉-1131014320⪨≂NaN=NaN","layer":0}]}
+{"id":581,"expression_no_base_symbol":"(⇠($5718$⇄$1948$))⩣⫁∢(($5552$⨱∎)⩧⪆($3184$⇋≉))⋾⨃∁((↣≠⋷$4613$)⇴$3887$⇂≾⫗$5921$)⪃⊛⇣(⊄⩳↩($2677$⪃↞⩐))","expression":"(⇠(≴∭⊉22446⇄≴∭⊉5452))⩣⫁∢((≴∭⊉22121⨱∎)⩧⪆(≴∭⊉12166⇋≉))⋾⨃∁((↣≠⋷≴∭⊉16310)⇴≴∭⊉14222⇂≾⫗≴∭⊉23156)⪃⊛⇣(⊄⩳↩(≴∭⊉10543⪃↞⩐))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2667,"operation_count":13,"complexity_ratio":205.15384615384616,"tree":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":5718,"base":7},"right_expr":{"type":"numeric_atoms","value":1948,"base":7}}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"unary","operator":"⨱∎","unary_expr":{"type":"numeric_atoms","value":5552,"base":7}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":3184,"base":7}}}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":4613,"base":7}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":3887,"base":7},"right_expr":{"type":"numeric_atoms","value":5921,"base":7}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"⪃↞⩐","unary_expr":{"type":"numeric_atoms","value":2677,"base":7}}}}},"used_operators":["212REbPD9h","JDUIKTTSIa","18saOjeKKm","3EYGwJThht","Ikt5ks8PT7","MmTdOpaElr","XIabStNQrY","rrgAzCduG9","4JB6nKBMSY","Asc51vEJeQ","aBQ6xLxuTc","8w2t5hMYqp","grXIztHqDa"],"dependent_operators":["eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","eewbuw0ToL","t8gj7n24qd","tifHPKVTfV","rysDP5nf3Z","t8gj7n24qd","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","sdazOOVcIp","NTOWxs364D","COABgblf1C","XhwjNDsVaA","AHs5Up7iyr","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","IwW236VD4Y","bF6eod5Gvf","l07mrZUIn9"],"result":"≴∭⊉243206526","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5718","layer":4},{"info":"number node, value=1948","layer":4},{"info":"compute binary expreesion, left_input=5718, right_input=1948, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=242","layer":2},{"info":"number node, value=5552","layer":4},{"info":"compute unary expreesion, input=5552, op_id = MmTdOpaElr, unary_op_definition = 'a⨱∎ = { (a⇼⇔∾a) }', output=0","layer":3},{"info":"number node, value=3184","layer":4},{"info":"compute unary expreesion, input=3184, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=6270","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=6270, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-6270","layer":2},{"info":"compute binary expreesion, left_input=242, right_input=-6270, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-323","layer":1},{"info":"number node, value=4613","layer":4},{"info":"compute unary expreesion, input=4613, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=3887","layer":4},{"info":"number node, value=5921","layer":4},{"info":"compute binary expreesion, left_input=3887, right_input=5921, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-676, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=nan","layer":2},{"info":"number node, value=2677","layer":4},{"info":"compute unary expreesion, input=2677, op_id = grXIztHqDa, unary_op_definition = 'a⪃↞⩐ = { ((a→⨶⪴a)≠≀(a↪⪝)) }', output=16368","layer":3},{"info":"compute unary expreesion, input=16368, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-49104","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-49104, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":1},{"info":"compute binary expreesion, left_input=-323, right_input=1234, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=15212658","layer":0}],"base":7,"result_base":7,"text":"(⇠(≴∭⊉22446⇄≴∭⊉5452))⩣⫁∢((≴∭⊉22121⨱∎)⩧⪆(≴∭⊉12166⇋≉))⋾⨃∁((↣≠⋷≴∭⊉16310)⇴≴∭⊉14222⇂≾⫗≴∭⊉23156)⪃⊛⇣(⊄⩳↩(≴∭⊉10543⪃↞⩐))=≴∭⊉243206526","reverse_text":"≴∭⊉243206526=(⇠(≴∭⊉22446⇄≴∭⊉5452))⩣⫁∢((≴∭⊉22121⨱∎)⩧⪆(≴∭⊉12166⇋≉))⋾⨃∁((↣≠⋷≴∭⊉16310)⇴≴∭⊉14222⇂≾⫗≴∭⊉23156)⪃⊛⇣(⊄⩳↩(≴∭⊉10543⪃↞⩐))","cot":[{"info":"≴∭⊉22446⇄≴∭⊉5452=≴∭⊉0","layer":3},{"info":"⇠≴∭⊉0=≴∭⊉464","layer":2},{"info":"≴∭⊉22121⨱∎=≴∭⊉0","layer":3},{"info":"≴∭⊉12166⇋≉=≴∭⊉24165","layer":3},{"info":"≴∭⊉0⩧⪆≴∭⊉24165=≴∭⊉-24165","layer":2},{"info":"≴∭⊉464⩣⫁∢≴∭⊉-24165=≴∭⊉-641","layer":1},{"info":"↣≠⋷≴∭⊉16310=NaN","layer":3},{"info":"≴∭⊉14222⇂≾⫗≴∭⊉23156=≴∭⊉-1654","layer":3},{"info":"NaN⇴≴∭⊉-1654=NaN","layer":2},{"info":"≴∭⊉10543⪃↞⩐=≴∭⊉65502","layer":3},{"info":"⊄⩳↩≴∭⊉65502=≴∭⊉-263106","layer":2},{"info":"NaN⪃⊛⇣≴∭⊉-263106=≴∭⊉3412","layer":1},{"info":"≴∭⊉-641⋾⨃∁≴∭⊉3412=≴∭⊉243206526","layer":0}]}
+{"id":582,"expression_no_base_symbol":"(↔$3292$⫯⪬∳$2265$)⪮%⊝((⪡⇡≛$4421$)⪁($2611$⪨≂$1436$))≄⊠(⨞⊢($2475$⊍⩺⋍$1043$))≁($5912$⇄$1754$⩚⊴⇥(↣≠⋷$6584$))","expression":"(↔≴∭⊉12412⫯⪬∳≴∭⊉6414)⪮%⊝((⪡⇡≛≴∭⊉15614)⪁(≴∭⊉10420⪨≂≴∭⊉4121))≄⊠(⨞⊢(≴∭⊉10134⊍⩺⋍≴∭⊉3020))≁(≴∭⊉23144⇄≴∭⊉5054⩚⊴⇥(↣≠⋷≴∭⊉25124))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":64101885,"operation_count":13,"complexity_ratio":4930914.230769231,"tree":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":3292,"base":7},"right_expr":{"type":"numeric_atoms","value":2265,"base":7}}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"numeric_atoms","value":4421,"base":7}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2611,"base":7},"right_expr":{"type":"numeric_atoms","value":1436,"base":7}}}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":2475,"base":7},"right_expr":{"type":"numeric_atoms","value":1043,"base":7}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":5912,"base":7},"right_expr":{"type":"numeric_atoms","value":1754,"base":7}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":6584,"base":7}}}}},"used_operators":["vXNesLlMH1","IWmyXbctLI","ruOEQAzv1W","d7ASUq0ydm","I7sXao9hZE","qL4PrbW1Dq","sdazOOVcIp","8N2wDY1A35","xUOZtlo3hN","OXDGMFPWZM","NTOWxs364D","3EYGwJThht","Asc51vEJeQ"],"dependent_operators":["d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","W4YGzv6Whe","t8gj7n24qd","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","XhwjNDsVaA","AHs5Up7iyr"],"result":"≴∭⊉4242","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3292","layer":4},{"info":"number node, value=2265","layer":4},{"info":"compute binary expreesion, left_input=3292, right_input=2265, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=14228","layer":3},{"info":"compute unary expreesion, input=14228, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-13955","layer":2},{"info":"number node, value=4421","layer":4},{"info":"compute unary expreesion, input=4421, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-4421","layer":3},{"info":"number node, value=2611","layer":4},{"info":"number node, value=1436","layer":4},{"info":"compute binary expreesion, left_input=2611, right_input=1436, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=2452","layer":3},{"info":"compute binary expreesion, left_input=-4421, right_input=2452, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-13955, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"number node, value=2475","layer":4},{"info":"number node, value=1043","layer":4},{"info":"compute binary expreesion, left_input=2475, right_input=1043, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=nan","layer":2},{"info":"number node, value=5912","layer":4},{"info":"number node, value=1754","layer":4},{"info":"compute binary expreesion, left_input=5912, right_input=1754, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"number node, value=6584","layer":4},{"info":"compute unary expreesion, input=6584, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":0}],"base":7,"result_base":7,"text":"(↔≴∭⊉12412⫯⪬∳≴∭⊉6414)⪮%⊝((⪡⇡≛≴∭⊉15614)⪁(≴∭⊉10420⪨≂≴∭⊉4121))≄⊠(⨞⊢(≴∭⊉10134⊍⩺⋍≴∭⊉3020))≁(≴∭⊉23144⇄≴∭⊉5054⩚⊴⇥(↣≠⋷≴∭⊉25124))=≴∭⊉4242","reverse_text":"≴∭⊉4242=(↔≴∭⊉12412⫯⪬∳≴∭⊉6414)⪮%⊝((⪡⇡≛≴∭⊉15614)⪁(≴∭⊉10420⪨≂≴∭⊉4121))≄⊠(⨞⊢(≴∭⊉10134⊍⩺⋍≴∭⊉3020))≁(≴∭⊉23144⇄≴∭⊉5054⩚⊴⇥(↣≠⋷≴∭⊉25124))","cot":[{"info":"≴∭⊉12412⫯⪬∳≴∭⊉6414=≴∭⊉56324","layer":3},{"info":"↔≴∭⊉56324=≴∭⊉-55454","layer":2},{"info":"⪡⇡≛≴∭⊉15614=≴∭⊉-15614","layer":3},{"info":"≴∭⊉10420⪨≂≴∭⊉4121=≴∭⊉10102","layer":3},{"info":"≴∭⊉-15614⪁≴∭⊉10102=NaN","layer":2},{"info":"≴∭⊉-55454⪮%⊝NaN=NaN","layer":1},{"info":"≴∭⊉10134⊍⩺⋍≴∭⊉3020=NaN","layer":3},{"info":"⨞⊢NaN=NaN","layer":2},{"info":"≴∭⊉23144⇄≴∭⊉5054=≴∭⊉0","layer":3},{"info":"↣≠⋷≴∭⊉25124=NaN","layer":3},{"info":"≴∭⊉0⩚⊴⇥NaN=NaN","layer":2},{"info":"NaN≁NaN=NaN","layer":1},{"info":"NaN≄⊠NaN=≴∭⊉4242","layer":0}]}
+{"id":583,"expression_no_base_symbol":"(→⩰($2268$⩷∴$5029$⇋≉))⨹","expression":"(→⩰(≴∭⊉6420⩷∴≴∭⊉20443⇋≉))⨹","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":14606,"operation_count":4,"complexity_ratio":3651.5,"tree":{"type":"unary","operator":"⨹","unary_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2268,"base":7},"right_expr":{"type":"numeric_atoms","value":5029,"base":7}}}}},"used_operators":["UnCoSGIALn","o8Pngz0Tml","XIabStNQrY","9FxExcQeMw"],"dependent_operators":["mp7IySMOzn","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2268","layer":4},{"info":"number node, value=5029","layer":4},{"info":"compute binary expreesion, left_input=2268, right_input=5029, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-5554","layer":3},{"info":"compute unary expreesion, input=-5554, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-11206","layer":2},{"info":"compute unary expreesion, input=-11206, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = UnCoSGIALn, unary_op_definition = 'a⨹ = { (229⇷a) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(→⩰(≴∭⊉6420⩷∴≴∭⊉20443⇋≉))⨹=NaN","reverse_text":"NaN=(→⩰(≴∭⊉6420⩷∴≴∭⊉20443⇋≉))⨹","cot":[{"info":"≴∭⊉6420⩷∴≴∭⊉20443=≴∭⊉-22123","layer":3},{"info":"≴∭⊉-22123⇋≉=≴∭⊉-44446","layer":2},{"info":"→⩰≴∭⊉-44446=NaN","layer":1},{"info":"NaN⨹=NaN","layer":0}]}
+{"id":584,"expression_no_base_symbol":"(≻⋜($1696$∴$4492$))⇂≾⫗($1057$⇌⫙⪟$3474$⪡(∤$4022$))↡⊰⫅(⇘$1035$≎⪠$3664$)≧⫂∧($8847$⨐$7114$∠↢$2220$∑⇟⊟$5672$)","expression":"(≻⋜(≴∭⊉4642∴≴∭⊉16045))⇂≾⫗(≴∭⊉3040⇌⫙⪟≴∭⊉13062⪡(∤≴∭⊉14504))↡⊰⫅(⇘≴∭⊉3006≎⪠≴∭⊉13453)≧⫂∧(≴∭⊉34536⨐≴∭⊉26512∠↢≴∭⊉6321∑⇟⊟≴∭⊉22352)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":95317,"operation_count":13,"complexity_ratio":7332.076923076923,"tree":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":1696,"base":7},"right_expr":{"type":"numeric_atoms","value":4492,"base":7}}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":1057,"base":7},"right_expr":{"type":"numeric_atoms","value":3474,"base":7}},"right_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"numeric_atoms","value":4022,"base":7}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":1035,"base":7},"right_expr":{"type":"numeric_atoms","value":3664,"base":7}}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":8847,"base":7},"right_expr":{"type":"numeric_atoms","value":7114,"base":7}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2220,"base":7},"right_expr":{"type":"numeric_atoms","value":5672,"base":7}}}}},"used_operators":["VCtxkLNOzz","aBQ6xLxuTc","3tj9sqzovi","hrf7POJlIJ","oraRL2iQuh","AFVx7xoS7T","k2HlF1dBQh","Ph9nP6C5qx","MGuIdZPyUC","aNhz54LH3e","KbjG8mgYpV","Noe24qw2ks","U7g4x0WXJJ"],"dependent_operators":["Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1696","layer":4},{"info":"number node, value=4492","layer":4},{"info":"compute binary expreesion, left_input=1696, right_input=4492, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=5040","layer":3},{"info":"compute unary expreesion, input=5040, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":2},{"info":"number node, value=1057","layer":4},{"info":"number node, value=3474","layer":4},{"info":"compute binary expreesion, left_input=1057, right_input=3474, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"number node, value=4022","layer":4},{"info":"compute unary expreesion, input=4022, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=9, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=2","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=nan","layer":1},{"info":"number node, value=1035","layer":4},{"info":"number node, value=3664","layer":4},{"info":"compute binary expreesion, left_input=1035, right_input=3664, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"compute unary expreesion, input=19558, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=1167862","layer":2},{"info":"number node, value=8847","layer":4},{"info":"number node, value=7114","layer":4},{"info":"compute binary expreesion, left_input=8847, right_input=7114, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-17694","layer":3},{"info":"number node, value=2220","layer":4},{"info":"number node, value=5672","layer":4},{"info":"compute binary expreesion, left_input=2220, right_input=5672, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-17694, right_input=nan, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1167862, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≻⋜(≴∭⊉4642∴≴∭⊉16045))⇂≾⫗(≴∭⊉3040⇌⫙⪟≴∭⊉13062⪡(∤≴∭⊉14504))↡⊰⫅(⇘≴∭⊉3006≎⪠≴∭⊉13453)≧⫂∧(≴∭⊉34536⨐≴∭⊉26512∠↢≴∭⊉6321∑⇟⊟≴∭⊉22352)=NaN","reverse_text":"NaN=(≻⋜(≴∭⊉4642∴≴∭⊉16045))⇂≾⫗(≴∭⊉3040⇌⫙⪟≴∭⊉13062⪡(∤≴∭⊉14504))↡⊰⫅(⇘≴∭⊉3006≎⪠≴∭⊉13453)≧⫂∧(≴∭⊉34536⨐≴∭⊉26512∠↢≴∭⊉6321∑⇟⊟≴∭⊉22352)","cot":[{"info":"≴∭⊉4642∴≴∭⊉16045=≴∭⊉20460","layer":3},{"info":"≻⋜≴∭⊉20460=NaN","layer":2},{"info":"≴∭⊉3040⇌⫙⪟≴∭⊉13062=≴∭⊉221","layer":3},{"info":"∤≴∭⊉14504=≴∭⊉12","layer":3},{"info":"≴∭⊉221⪡≴∭⊉12=≴∭⊉2","layer":2},{"info":"NaN⇂≾⫗≴∭⊉2=NaN","layer":1},{"info":"≴∭⊉3006≎⪠≴∭⊉13453=≴∭⊉111010","layer":3},{"info":"⇘≴∭⊉111010=≴∭⊉12632563","layer":2},{"info":"≴∭⊉34536⨐≴∭⊉26512=≴∭⊉-102405","layer":3},{"info":"≴∭⊉6321∑⇟⊟≴∭⊉22352=NaN","layer":3},{"info":"≴∭⊉-102405∠↢NaN=NaN","layer":2},{"info":"≴∭⊉12632563≧⫂∧NaN=NaN","layer":1},{"info":"NaN↡⊰⫅NaN=NaN","layer":0}]}
+{"id":585,"expression_no_base_symbol":"(↥≼⋛$2502$≭$3560$↡⊰⫅(⩷⨜⫀$4637$))⪨⊡(($1486$⩒⫫$4676$)⪘⫢$3438$⨚$5005$)⫞⩸⩒((→⩰$1864$)∵≐)","expression":"(↥≼⋛≴∭⊉10203≭≴∭⊉13244↡⊰⫅(⩷⨜⫀≴∭⊉16343))⪨⊡((≴∭⊉4222⩒⫫≴∭⊉16430)⪘⫢≴∭⊉13011⨚≴∭⊉20410)⫞⩸⩒((→⩰≴∭⊉5302)∵≐)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":63450,"operation_count":11,"complexity_ratio":5768.181818181818,"tree":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2502,"base":7},"right_expr":{"type":"numeric_atoms","value":3560,"base":7}},"right_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"numeric_atoms","value":4637,"base":7}}}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":1486,"base":7},"right_expr":{"type":"numeric_atoms","value":4676,"base":7}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":3438,"base":7},"right_expr":{"type":"numeric_atoms","value":5005,"base":7}}},"right_expr":{"type":"unary","operator":"∵≐","unary_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"numeric_atoms","value":1864,"base":7}}}}},"used_operators":["kuIXHzHcAH","x5lMkHmzsq","VCtxkLNOzz","rxpJgHHUmx","CDi0ktkjQ4","XGcMNugi78","oacrs7FA3X","KFSx94NKJn","nREPSIbpBE","59igzFyhWz","o8Pngz0Tml"],"dependent_operators":["JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","AHs5Up7iyr","ruOEQAzv1W","nhYeJWJD5X","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","BjRHVeLaeN","12rbrZMWeM","W4YGzv6Whe","DZ8iAZOCBD","8w2t5hMYqp","Ph9nP6C5qx","12rbrZMWeM","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL"],"result":"≴∭⊉2212","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2502","layer":4},{"info":"number node, value=3560","layer":4},{"info":"compute binary expreesion, left_input=2502, right_input=3560, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=4637","layer":4},{"info":"compute unary expreesion, input=4637, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-4364","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4364, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-113","layer":1},{"info":"number node, value=1486","layer":4},{"info":"number node, value=4676","layer":4},{"info":"compute binary expreesion, left_input=1486, right_input=4676, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=1184","layer":3},{"info":"number node, value=3438","layer":4},{"info":"number node, value=5005","layer":4},{"info":"compute binary expreesion, left_input=3438, right_input=5005, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-12210","layer":3},{"info":"compute binary expreesion, left_input=1184, right_input=-12210, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1","layer":2},{"info":"number node, value=1864","layer":4},{"info":"compute unary expreesion, input=1864, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 59igzFyhWz, unary_op_definition = 'a∵≐ = { ((a⊉≛↸31)⋳⪒(101+a)) , if a<=828 ; ((⊄⩳↩a)≧⫂∧(a≧⫂∧a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=nan, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=-1","layer":1},{"info":"compute binary expreesion, left_input=-113, right_input=-1, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=793","layer":0}],"base":7,"result_base":7,"text":"(↥≼⋛≴∭⊉10203≭≴∭⊉13244↡⊰⫅(⩷⨜⫀≴∭⊉16343))⪨⊡((≴∭⊉4222⩒⫫≴∭⊉16430)⪘⫢≴∭⊉13011⨚≴∭⊉20410)⫞⩸⩒((→⩰≴∭⊉5302)∵≐)=≴∭⊉2212","reverse_text":"≴∭⊉2212=(↥≼⋛≴∭⊉10203≭≴∭⊉13244↡⊰⫅(⩷⨜⫀≴∭⊉16343))⪨⊡((≴∭⊉4222⩒⫫≴∭⊉16430)⪘⫢≴∭⊉13011⨚≴∭⊉20410)⫞⩸⩒((→⩰≴∭⊉5302)∵≐)","cot":[{"info":"≴∭⊉10203≭≴∭⊉13244=NaN","layer":3},{"info":"⩷⨜⫀≴∭⊉16343=≴∭⊉-15503","layer":3},{"info":"NaN↡⊰⫅≴∭⊉-15503=NaN","layer":2},{"info":"↥≼⋛NaN=≴∭⊉-221","layer":1},{"info":"≴∭⊉4222⩒⫫≴∭⊉16430=≴∭⊉3311","layer":3},{"info":"≴∭⊉13011⨚≴∭⊉20410=≴∭⊉-50412","layer":3},{"info":"≴∭⊉3311⪘⫢≴∭⊉-50412=≴∭⊉-1","layer":2},{"info":"→⩰≴∭⊉5302=NaN","layer":3},{"info":"NaN∵≐=NaN","layer":2},{"info":"≴∭⊉-1⫞⩸⩒NaN=≴∭⊉-1","layer":1},{"info":"≴∭⊉-221⪨⊡≴∭⊉-1=≴∭⊉2212","layer":0}]}
+{"id":586,"expression_no_base_symbol":"(($3563$⊭↱$3778$)↺(⩪∧⨌$2493$))⪬((∤$3627$)%$3836$⪃⊛⇣$3750$)≄⊠(($5423$∼$3232$⋘⨑⨽)⪨≂(⫛⫱⨽$6253$⊢$1866$))","expression":"((≴∭⊉13250⊭↱≴∭⊉14005)↺(⩪∧⨌≴∭⊉10161))⪬((∤≴∭⊉13401)%≴∭⊉14120⪃⊛⇣≴∭⊉13635)≄⊠((≴∭⊉21545∼≴∭⊉12265⋘⨑⨽)⪨≂(⫛⫱⨽≴∭⊉24142⊢≴∭⊉5304))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2818,"operation_count":13,"complexity_ratio":216.76923076923077,"tree":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":3563,"base":7},"right_expr":{"type":"numeric_atoms","value":3778,"base":7}},"right_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"numeric_atoms","value":2493,"base":7}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"numeric_atoms","value":3627,"base":7}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":3836,"base":7},"right_expr":{"type":"numeric_atoms","value":3750,"base":7}}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⋘⨑⨽","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":5423,"base":7},"right_expr":{"type":"numeric_atoms","value":3232,"base":7}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":6253,"base":7},"right_expr":{"type":"numeric_atoms","value":1866,"base":7}}}}},"used_operators":["vXNesLlMH1","Ez1Nq5fNfI","7j4O788W3g","COABgblf1C","6iOiAJX1F8","k8jYdgA6NY","k2HlF1dBQh","rrgAzCduG9","sdazOOVcIp","WmT3o8z6ya","DyGG3AbaNP","DlLNRPXxWL","5twsqlHp2o"],"dependent_operators":["d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","DpFCA1CohY","N41Kp7NANJ","8w2t5hMYqp","QMFrweE19q","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rGHVDoGpnC","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC"],"result":"≴∭⊉4242","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3563","layer":4},{"info":"number node, value=3778","layer":4},{"info":"compute binary expreesion, left_input=3563, right_input=3778, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=435","layer":3},{"info":"number node, value=2493","layer":4},{"info":"compute unary expreesion, input=2493, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=24930","layer":3},{"info":"compute binary expreesion, left_input=435, right_input=24930, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=24930","layer":2},{"info":"number node, value=3627","layer":4},{"info":"compute unary expreesion, input=3627, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":3},{"info":"number node, value=3836","layer":4},{"info":"number node, value=3750","layer":4},{"info":"compute binary expreesion, left_input=3836, right_input=3750, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=9, right_input=1234, op_id = k8jYdgA6NY binary_op_definition= 'None', output=9","layer":2},{"info":"compute binary expreesion, left_input=24930, right_input=9, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":1},{"info":"number node, value=5423","layer":4},{"info":"number node, value=3232","layer":4},{"info":"compute binary expreesion, left_input=5423, right_input=3232, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = WmT3o8z6ya, unary_op_definition = 'a⋘⨑⨽ = { ((a⫡⨏a)+(a≋⫹)) , if (⊄⩳↩a)!=44 ; (⋗⩬⋾(394+a)) , else }', output=nan","layer":2},{"info":"number node, value=6253","layer":4},{"info":"number node, value=1866","layer":4},{"info":"compute binary expreesion, left_input=6253, right_input=1866, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-12750","layer":3},{"info":"compute unary expreesion, input=-12750, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=nan, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉13250⊭↱≴∭⊉14005)↺(⩪∧⨌≴∭⊉10161))⪬((∤≴∭⊉13401)%≴∭⊉14120⪃⊛⇣≴∭⊉13635)≄⊠((≴∭⊉21545∼≴∭⊉12265⋘⨑⨽)⪨≂(⫛⫱⨽≴∭⊉24142⊢≴∭⊉5304))=≴∭⊉4242","reverse_text":"≴∭⊉4242=((≴∭⊉13250⊭↱≴∭⊉14005)↺(⩪∧⨌≴∭⊉10161))⪬((∤≴∭⊉13401)%≴∭⊉14120⪃⊛⇣≴∭⊉13635)≄⊠((≴∭⊉21545∼≴∭⊉12265⋘⨑⨽)⪨≂(⫛⫱⨽≴∭⊉24142⊢≴∭⊉5304))","cot":[{"info":"≴∭⊉13250⊭↱≴∭⊉14005=≴∭⊉1161","layer":3},{"info":"⩪∧⨌≴∭⊉10161=≴∭⊉132453","layer":3},{"info":"≴∭⊉1161↺≴∭⊉132453=≴∭⊉132453","layer":2},{"info":"∤≴∭⊉13401=≴∭⊉12","layer":3},{"info":"≴∭⊉14120⪃⊛⇣≴∭⊉13635=≴∭⊉3412","layer":3},{"info":"≴∭⊉12%≴∭⊉3412=≴∭⊉12","layer":2},{"info":"≴∭⊉132453⪬≴∭⊉12=≴∭⊉3412","layer":1},{"info":"≴∭⊉21545∼≴∭⊉12265=NaN","layer":3},{"info":"NaN⋘⨑⨽=NaN","layer":2},{"info":"≴∭⊉24142⊢≴∭⊉5304=≴∭⊉-52113","layer":3},{"info":"⫛⫱⨽≴∭⊉-52113=≴∭⊉0","layer":2},{"info":"NaN⪨≂≴∭⊉0=NaN","layer":1},{"info":"≴∭⊉3412≄⊠NaN=≴∭⊉4242","layer":0}]}
+{"id":587,"expression_no_base_symbol":"⩰((⨆≐≲$3498$)⩱)≀⫉(⫛⫱⨽($1067$⪔$1686$))","expression":"⩰((⨆≐≲≴∭⊉13125)⩱)≀⫉(⫛⫱⨽(≴∭⊉3053⪔≴∭⊉4626))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3436,"operation_count":6,"complexity_ratio":572.6666666666666,"tree":{"type":"unary","operator":"⩰","unary_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"unary","operator":"⩱","unary_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"numeric_atoms","value":3498,"base":7}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":1067,"base":7},"right_expr":{"type":"numeric_atoms","value":1686,"base":7}}}}},"used_operators":["WkeUrDK8WX","oZj3VtZNQx","uyq1hVkAcj","Bi9z9uYZqW","DlLNRPXxWL","GjBEYRfMaF"],"dependent_operators":["W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","DpFCA1CohY","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","COABgblf1C","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","rGHVDoGpnC","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi"],"result":"≴∭⊉-14100","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3498","layer":4},{"info":"compute unary expreesion, input=3498, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=37948632","layer":3},{"info":"compute unary expreesion, input=37948632, op_id = uyq1hVkAcj, unary_op_definition = 'a⩱ = { ((⋗⩬⋾(a⊭↱a))↺((a⨸⪁a)⪒(a⨸⪁125))) }', output=-227692042","layer":2},{"info":"number node, value=1067","layer":4},{"info":"number node, value=1686","layer":4},{"info":"compute binary expreesion, left_input=1067, right_input=1686, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"compute unary expreesion, input=450, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-227692042, right_input=0, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":1},{"info":"compute unary expreesion, input=2822, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-3822","layer":0}],"base":7,"result_base":7,"text":"⩰((⨆≐≲≴∭⊉13125)⩱)≀⫉(⫛⫱⨽(≴∭⊉3053⪔≴∭⊉4626))=≴∭⊉-14100","reverse_text":"≴∭⊉-14100=⩰((⨆≐≲≴∭⊉13125)⩱)≀⫉(⫛⫱⨽(≴∭⊉3053⪔≴∭⊉4626))","cot":[{"info":"⨆≐≲≴∭⊉13125=≴∭⊉640362261","layer":3},{"info":"≴∭⊉640362261⩱=≴∭⊉-5433231124","layer":2},{"info":"≴∭⊉3053⪔≴∭⊉4626=≴∭⊉1212","layer":3},{"info":"⫛⫱⨽≴∭⊉1212=≴∭⊉0","layer":2},{"info":"≴∭⊉-5433231124≀⫉≴∭⊉0=≴∭⊉11141","layer":1},{"info":"⩰≴∭⊉11141=≴∭⊉-14100","layer":0}]}
+{"id":588,"expression_no_base_symbol":"((($5778$⩵∡$2082$)∑⇟⊟($1263$⫦⪉$2649$))⊋($1274$⪥$1197$⪭(⨣⨃⇪$1103$)))⩦((≉($1608$⊍⩺⋍$3282$))⇷$5361$≴⪞⇿$1109$⩼⇪↪($6248$⪒$1689$))","expression":"(((≴∭⊉22563⩵∡≴∭⊉6033)∑⇟⊟(≴∭⊉3453⫦⪉≴∭⊉10503))⊋(≴∭⊉3500⪥≴∭⊉3330⪭(⨣⨃⇪≴∭⊉3134)))⩦((≉(≴∭⊉4455⊍⩺⋍≴∭⊉12366))⇷≴∭⊉21426≴⪞⇿≴∭⊉3143⩼⇪↪(≴∭⊉24134⪒≴∭⊉4632))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":5516,"operation_count":14,"complexity_ratio":394.0,"tree":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":5778,"base":7},"right_expr":{"type":"numeric_atoms","value":2082,"base":7}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":1263,"base":7},"right_expr":{"type":"numeric_atoms","value":2649,"base":7}}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":1274,"base":7},"right_expr":{"type":"numeric_atoms","value":1197,"base":7}},"right_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"numeric_atoms","value":1103,"base":7}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":1608,"base":7},"right_expr":{"type":"numeric_atoms","value":3282,"base":7}}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":5361,"base":7},"right_expr":{"type":"numeric_atoms","value":1109,"base":7}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":6248,"base":7},"right_expr":{"type":"numeric_atoms","value":1689,"base":7}}}}},"used_operators":["0kmYd0q39Y","W4tP9CfskL","U7g4x0WXJJ","Y7wcNGrDQJ","wscyQdcy20","j9kHMeSvPp","QbnwKVWMIQ","AcOhelriW5","mp7IySMOzn","e1ybzncUwg","OXDGMFPWZM","ocnLzx9CaJ","lvlrscuwVU","f6k1SAg4EE"],"dependent_operators":["N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","NTOWxs364D","glklzrTFfD","tifHPKVTfV","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","COABgblf1C","xUOZtlo3hN","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd"],"result":"≴∭⊉-26353366335","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5778","layer":4},{"info":"number node, value=2082","layer":4},{"info":"compute binary expreesion, left_input=5778, right_input=2082, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-9595","layer":3},{"info":"number node, value=1263","layer":4},{"info":"number node, value=2649","layer":4},{"info":"compute binary expreesion, left_input=1263, right_input=2649, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=2374","layer":3},{"info":"compute binary expreesion, left_input=-9595, right_input=2374, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=1274","layer":4},{"info":"number node, value=1197","layer":4},{"info":"compute binary expreesion, left_input=1274, right_input=1197, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=9748","layer":3},{"info":"number node, value=1103","layer":4},{"info":"compute unary expreesion, input=1103, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":3},{"info":"compute binary expreesion, left_input=9748, right_input=1405, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=5, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=-5354","layer":1},{"info":"number node, value=1608","layer":4},{"info":"number node, value=3282","layer":4},{"info":"compute binary expreesion, left_input=1608, right_input=3282, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":2},{"info":"number node, value=5361","layer":4},{"info":"number node, value=1109","layer":4},{"info":"compute binary expreesion, left_input=5361, right_input=1109, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=51775722","layer":3},{"info":"number node, value=6248","layer":4},{"info":"number node, value=1689","layer":4},{"info":"compute binary expreesion, left_input=6248, right_input=1689, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7937","layer":3},{"info":"compute binary expreesion, left_input=51775722, right_input=-7937, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=103606220","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=103606220, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=207212440","layer":1},{"info":"compute binary expreesion, left_input=-5354, right_input=207212440, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=-828904263","layer":0}],"base":7,"result_base":7,"text":"(((≴∭⊉22563⩵∡≴∭⊉6033)∑⇟⊟(≴∭⊉3453⫦⪉≴∭⊉10503))⊋(≴∭⊉3500⪥≴∭⊉3330⪭(⨣⨃⇪≴∭⊉3134)))⩦((≉(≴∭⊉4455⊍⩺⋍≴∭⊉12366))⇷≴∭⊉21426≴⪞⇿≴∭⊉3143⩼⇪↪(≴∭⊉24134⪒≴∭⊉4632))=≴∭⊉-26353366335","reverse_text":"≴∭⊉-26353366335=(((≴∭⊉22563⩵∡≴∭⊉6033)∑⇟⊟(≴∭⊉3453⫦⪉≴∭⊉10503))⊋(≴∭⊉3500⪥≴∭⊉3330⪭(⨣⨃⇪≴∭⊉3134)))⩦((≉(≴∭⊉4455⊍⩺⋍≴∭⊉12366))⇷≴∭⊉21426≴⪞⇿≴∭⊉3143⩼⇪↪(≴∭⊉24134⪒≴∭⊉4632))","cot":[{"info":"≴∭⊉22563⩵∡≴∭⊉6033=≴∭⊉-36655","layer":3},{"info":"≴∭⊉3453⫦⪉≴∭⊉10503=≴∭⊉6631","layer":3},{"info":"≴∭⊉-36655∑⇟⊟≴∭⊉6631=NaN","layer":2},{"info":"≴∭⊉3500⪥≴∭⊉3330=≴∭⊉40264","layer":3},{"info":"⨣⨃⇪≴∭⊉3134=≴∭⊉4045","layer":3},{"info":"≴∭⊉40264⪭≴∭⊉4045=≴∭⊉5","layer":2},{"info":"NaN⊋≴∭⊉5=≴∭⊉-21416","layer":1},{"info":"≴∭⊉4455⊍⩺⋍≴∭⊉12366=NaN","layer":3},{"info":"≉NaN=NaN","layer":2},{"info":"≴∭⊉21426≴⪞⇿≴∭⊉3143=≴∭⊉1166041425","layer":3},{"info":"≴∭⊉24134⪒≴∭⊉4632=≴∭⊉-32066","layer":3},{"info":"≴∭⊉1166041425⩼⇪↪≴∭⊉-32066=≴∭⊉2365431644","layer":2},{"info":"NaN⇷≴∭⊉2365431644=≴∭⊉5064163621","layer":1},{"info":"≴∭⊉-21416⩦≴∭⊉5064163621=≴∭⊉-26353366335","layer":0}]}
+{"id":589,"expression_no_base_symbol":"((⋎⨆$4952$)⊋$2536$∺≝⩲$5841$)∳⫺(($3797$⊍⩺⋍$2188$)⇔⨋)∖(≯$5206$↤⩊$1219$∥⊢⊲($6787$⪇≇⋚$3088$))","expression":"((⋎⨆≴∭⊉20303)⊋≴∭⊉10252∺≝⩲≴∭⊉23013)∳⫺((≴∭⊉14033⊍⩺⋍≴∭⊉6244)⇔⨋)∖(≯≴∭⊉21115↤⩊≴∭⊉3361∥⊢⊲(≴∭⊉25534⪇≇⋚≴∭⊉12001))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":767,"operation_count":11,"complexity_ratio":69.72727272727273,"tree":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"numeric_atoms","value":4952,"base":7}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":2536,"base":7},"right_expr":{"type":"numeric_atoms","value":5841,"base":7}}},"right_expr":{"type":"unary","operator":"⇔⨋","unary_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":3797,"base":7},"right_expr":{"type":"numeric_atoms","value":2188,"base":7}}}},"right_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":5206,"base":7},"right_expr":{"type":"numeric_atoms","value":1219,"base":7}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":6787,"base":7},"right_expr":{"type":"numeric_atoms","value":3088,"base":7}}}}},"used_operators":["tXD093vOjl","AzXXKTstlj","W4tP9CfskL","E64sFOc4tB","KPf6cnQVty","uBihLCJcMX","OXDGMFPWZM","keWfFq85dY","v1UQAVDJRr","13rbtpv6ld","3sJ7IOPOlU"],"dependent_operators":["rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","N41Kp7NANJ","7j4O788W3g","glklzrTFfD","tifHPKVTfV","12rbrZMWeM","f6k1SAg4EE","D4vGDi5EA2","nCS4ZIUYfx","QMFrweE19q","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","g55IO6H4Gj","JLbD19bQDL","EBcxylXtPf","rGHVDoGpnC","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4952","layer":4},{"info":"compute unary expreesion, input=4952, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=0","layer":3},{"info":"number node, value=2536","layer":4},{"info":"number node, value=5841","layer":4},{"info":"compute binary expreesion, left_input=2536, right_input=5841, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=160, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=-2254","layer":2},{"info":"number node, value=3797","layer":4},{"info":"number node, value=2188","layer":4},{"info":"compute binary expreesion, left_input=3797, right_input=2188, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = uBihLCJcMX, unary_op_definition = 'a⇔⨋ = { (((a⨁⊸⫻)⋳⪒a)⪒((a≦≮≮)⨁⊸⫻)) , if a<217 ; (((a≋⫹)⨳⩥⨓(a↺a))⋳⪒((a⨳⩥⨓a)⫡⨏(a⇼⇔∾a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-2254, right_input=nan, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":1},{"info":"number node, value=5206","layer":4},{"info":"number node, value=1219","layer":4},{"info":"compute binary expreesion, left_input=5206, right_input=1219, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"number node, value=6787","layer":4},{"info":"number node, value=3088","layer":4},{"info":"compute binary expreesion, left_input=6787, right_input=3088, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-260, right_input=0, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":0}],"base":7,"result_base":7,"text":"((⋎⨆≴∭⊉20303)⊋≴∭⊉10252∺≝⩲≴∭⊉23013)∳⫺((≴∭⊉14033⊍⩺⋍≴∭⊉6244)⇔⨋)∖(≯≴∭⊉21115↤⩊≴∭⊉3361∥⊢⊲(≴∭⊉25534⪇≇⋚≴∭⊉12001))=≴∭⊉0","reverse_text":"≴∭⊉0=((⋎⨆≴∭⊉20303)⊋≴∭⊉10252∺≝⩲≴∭⊉23013)∳⫺((≴∭⊉14033⊍⩺⋍≴∭⊉6244)⇔⨋)∖(≯≴∭⊉21115↤⩊≴∭⊉3361∥⊢⊲(≴∭⊉25534⪇≇⋚≴∭⊉12001))","cot":[{"info":"⋎⨆≴∭⊉20303=≴∭⊉0","layer":3},{"info":"≴∭⊉10252∺≝⩲≴∭⊉23013=≴∭⊉316","layer":3},{"info":"≴∭⊉0⊋≴∭⊉316=≴∭⊉-6400","layer":2},{"info":"≴∭⊉14033⊍⩺⋍≴∭⊉6244=NaN","layer":3},{"info":"NaN⇔⨋=NaN","layer":2},{"info":"≴∭⊉-6400∳⫺NaN=≴∭⊉-521","layer":1},{"info":"≴∭⊉21115↤⩊≴∭⊉3361=NaN","layer":3},{"info":"≴∭⊉25534⪇≇⋚≴∭⊉12001=≴∭⊉0","layer":3},{"info":"NaN∥⊢⊲≴∭⊉0=≴∭⊉0","layer":2},{"info":"≯≴∭⊉0=≴∭⊉0","layer":1},{"info":"≴∭⊉-521∖≴∭⊉0=≴∭⊉0","layer":0}]}
+{"id":590,"expression_no_base_symbol":"($4642$⫁⪎$3309$)⪬($1147$⪪$2563$)≀⩗∶$2084$≁$2435$↼⊘⨖$2168$≎⪠$2275$⇼⇔∾(≔$1589$≁↽≥$4022$)∇⊂⋱($6174$≭$3581$∲⫓(⫎≠⋺$4943$))","expression":"(≴∭⊉16351⫁⪎≴∭⊉12435)⪬(≴∭⊉3226⪪≴∭⊉10321)≀⩗∶≴∭⊉6035≁≴∭⊉10046↼⊘⨖≴∭⊉6215≎⪠≴∭⊉6430⇼⇔∾(≔≴∭⊉4430≁↽≥≴∭⊉14504)∇⊂⋱(≴∭⊉24000≭≴∭⊉13304∲⫓(⫎≠⋺≴∭⊉20261))","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":23457,"operation_count":14,"complexity_ratio":1675.5,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":4642,"base":7},"right_expr":{"type":"numeric_atoms","value":3309,"base":7}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":1147,"base":7},"right_expr":{"type":"numeric_atoms","value":2563,"base":7}}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":2084,"base":7},"right_expr":{"type":"numeric_atoms","value":2435,"base":7}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":2168,"base":7},"right_expr":{"type":"numeric_atoms","value":2275,"base":7}}}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":1589,"base":7},"right_expr":{"type":"numeric_atoms","value":4022,"base":7}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":6174,"base":7},"right_expr":{"type":"numeric_atoms","value":3581,"base":7}},"right_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"numeric_atoms","value":4943,"base":7}}}}},"used_operators":["tifHPKVTfV","8INZBEW696","Ez1Nq5fNfI","xRrnTEsQ6j","xD69zh8xqp","bPywburJMS","8N2wDY1A35","aNhz54LH3e","nhYeJWJD5X","8FLs4eVsLt","ncHt1X6cMc","i8ToyICDmI","rxpJgHHUmx","LYeZOJ0nQG"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","FU0Cs4j7VP","JclMnS0uGI","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","oWn0xqSxBt","3Oe9XWJUTD","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4642","layer":4},{"info":"number node, value=3309","layer":4},{"info":"compute binary expreesion, left_input=4642, right_input=3309, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=1333","layer":3},{"info":"number node, value=1147","layer":4},{"info":"number node, value=2563","layer":4},{"info":"compute binary expreesion, left_input=1147, right_input=2563, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-169286","layer":3},{"info":"compute binary expreesion, left_input=1333, right_input=-169286, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"number node, value=2084","layer":4},{"info":"number node, value=2435","layer":4},{"info":"compute binary expreesion, left_input=2084, right_input=2435, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=45239","layer":3},{"info":"number node, value=2168","layer":4},{"info":"number node, value=2275","layer":4},{"info":"compute binary expreesion, left_input=2168, right_input=2275, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"compute binary expreesion, left_input=45239, right_input=19558, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=38894","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=38894, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=-93","layer":1},{"info":"number node, value=1589","layer":4},{"info":"number node, value=4022","layer":4},{"info":"compute binary expreesion, left_input=1589, right_input=4022, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=33767","layer":3},{"info":"compute unary expreesion, input=33767, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-944182","layer":2},{"info":"number node, value=6174","layer":4},{"info":"number node, value=3581","layer":4},{"info":"compute binary expreesion, left_input=6174, right_input=3581, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=4943","layer":4},{"info":"compute unary expreesion, input=4943, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-944182, right_input=nan, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-93, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉16351⫁⪎≴∭⊉12435)⪬(≴∭⊉3226⪪≴∭⊉10321)≀⩗∶≴∭⊉6035≁≴∭⊉10046↼⊘⨖≴∭⊉6215≎⪠≴∭⊉6430⇼⇔∾(≔≴∭⊉4430≁↽≥≴∭⊉14504)∇⊂⋱(≴∭⊉24000≭≴∭⊉13304∲⫓(⫎≠⋺≴∭⊉20261))=NaN","reverse_text":"NaN=(≴∭⊉16351⫁⪎≴∭⊉12435)⪬(≴∭⊉3226⪪≴∭⊉10321)≀⩗∶≴∭⊉6035≁≴∭⊉10046↼⊘⨖≴∭⊉6215≎⪠≴∭⊉6430⇼⇔∾(≔≴∭⊉4430≁↽≥≴∭⊉14504)∇⊂⋱(≴∭⊉24000≭≴∭⊉13304∲⫓(⫎≠⋺≴∭⊉20261))","cot":[{"info":"≴∭⊉16351⫁⪎≴∭⊉12435=≴∭⊉3613","layer":3},{"info":"≴∭⊉3226⪪≴∭⊉10321=≴∭⊉-1303355","layer":3},{"info":"≴∭⊉3613⪬≴∭⊉-1303355=≴∭⊉3412","layer":2},{"info":"≴∭⊉6035≁≴∭⊉10046=≴∭⊉245615","layer":3},{"info":"≴∭⊉6215≎⪠≴∭⊉6430=≴∭⊉111010","layer":3},{"info":"≴∭⊉245615↼⊘⨖≴∭⊉111010=≴∭⊉221252","layer":2},{"info":"≴∭⊉3412≀⩗∶≴∭⊉221252=≴∭⊉-162","layer":1},{"info":"≴∭⊉4430≁↽≥≴∭⊉14504=≴∭⊉200306","layer":3},{"info":"≔≴∭⊉200306=≴∭⊉-11011501","layer":2},{"info":"≴∭⊉24000≭≴∭⊉13304=NaN","layer":3},{"info":"⫎≠⋺≴∭⊉20261=≴∭⊉0","layer":3},{"info":"NaN∲⫓≴∭⊉0=NaN","layer":2},{"info":"≴∭⊉-11011501∇⊂⋱NaN=NaN","layer":1},{"info":"≴∭⊉-162⇼⇔∾NaN=NaN","layer":0}]}
+{"id":591,"expression_no_base_symbol":"⩰(⫓⪴(($5555$⨉)⇼⇔∾$4270$⊋$4557$))","expression":"⩰(⫓⪴((≴∭⊉22124⨉)⇼⇔∾≴∭⊉15310⊋≴∭⊉16200))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":8900913,"operation_count":5,"complexity_ratio":1780182.6,"tree":{"type":"unary","operator":"⩰","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⨉","unary_expr":{"type":"numeric_atoms","value":5555,"base":7}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":4270,"base":7},"right_expr":{"type":"numeric_atoms","value":4557,"base":7}}}}},"used_operators":["WkeUrDK8WX","eLxqMNBOBk","tifHPKVTfV","aMUSaJuDRU","W4tP9CfskL"],"dependent_operators":["W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","g55IO6H4Gj","qWUSsah53b","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5555","layer":4},{"info":"compute unary expreesion, input=5555, op_id = aMUSaJuDRU, unary_op_definition = 'a⨉ = { ((⫡⇟⇯148)⨸⪁(a⨪↰⇹a)) }', output=13438","layer":3},{"info":"number node, value=4270","layer":4},{"info":"number node, value=4557","layer":4},{"info":"compute binary expreesion, left_input=4270, right_input=4557, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=-8881376","layer":3},{"info":"compute binary expreesion, left_input=13438, right_input=-8881376, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-8894814","layer":2},{"info":"compute unary expreesion, input=-8894814, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=inf","layer":1},{"info":"compute unary expreesion, input=inf, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"⩰(⫓���((≴∭⊉22124⨉)⇼⇔∾≴∭⊉15310⊋≴∭⊉16200))=NaN","reverse_text":"NaN=⩰(⫓⪴((≴∭⊉22124⨉)⇼⇔∾≴∭⊉15310⊋≴∭⊉16200))","cot":[{"info":"≴∭⊉22124⨉=≴∭⊉54115","layer":3},{"info":"≴∭⊉15310⊋≴∭⊉16200=≴∭⊉-135330140","layer":3},{"info":"≴∭⊉54115⇼⇔∾≴∭⊉-135330140=≴∭⊉-135414255","layer":2},{"info":"⫓⪴≴∭⊉-135414255=Inf","layer":1},{"info":"⩰Inf=NaN","layer":0}]}
+{"id":592,"expression_no_base_symbol":"⨙⪌(((≪$4586$)↺$3526$→⨶⪴$1398$)∀⇚≩($5136$⪛$2787$)⩦($4800$⨜⨶$3253$))","expression":"⨙⪌(((≪≴∭⊉16241)↺≴∭⊉13165→⨶⪴≴∭⊉4035)∀⇚≩(≴∭⊉20655⪛≴∭⊉11061)⩦(≴∭⊉16665⨜⨶≴∭⊉12325))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":29483,"operation_count":8,"complexity_ratio":3685.375,"tree":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"numeric_atoms","value":4586,"base":7}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":3526,"base":7},"right_expr":{"type":"numeric_atoms","value":1398,"base":7}}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":5136,"base":7},"right_expr":{"type":"numeric_atoms","value":2787,"base":7}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":4800,"base":7},"right_expr":{"type":"numeric_atoms","value":3253,"base":7}}}}},"used_operators":["vEGLkm4Z2k","LRNGc0VcxI","7j4O788W3g","Qtd6bqUJcN","bF6eod5Gvf","0kmYd0q39Y","uFcxV4UQCh","HiPekx5b7W"],"dependent_operators":["tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","8w2t5hMYqp","9FxExcQeMw","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4586","layer":4},{"info":"compute unary expreesion, input=4586, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":3},{"info":"number node, value=3526","layer":4},{"info":"number node, value=1398","layer":4},{"info":"compute binary expreesion, left_input=3526, right_input=1398, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-4194","layer":3},{"info":"compute binary expreesion, left_input=913, right_input=-4194, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-4194","layer":2},{"info":"number node, value=5136","layer":4},{"info":"number node, value=2787","layer":4},{"info":"compute binary expreesion, left_input=5136, right_input=2787, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2349","layer":3},{"info":"number node, value=4800","layer":4},{"info":"number node, value=3253","layer":4},{"info":"compute binary expreesion, left_input=4800, right_input=3253, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-6250","layer":3},{"info":"compute binary expreesion, left_input=2349, right_input=-6250, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=4698","layer":2},{"info":"compute binary expreesion, left_input=-4194, right_input=4698, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"⨙⪌(((≪≴∭⊉16241)↺≴∭⊉13165→⨶⪴≴∭⊉4035)∀⇚≩(≴∭⊉20655⪛≴∭⊉11061)⩦(≴∭⊉16665⨜⨶≴∭⊉12325))=NaN","reverse_text":"NaN=⨙⪌(((≪≴∭⊉16241)↺≴∭⊉13165→⨶⪴≴∭⊉4035)∀⇚≩(≴∭⊉20655⪛≴∭⊉11061)⩦(≴∭⊉16665⨜⨶≴∭⊉12325))","cot":[{"info":"≪≴∭⊉16241=≴∭⊉2443","layer":3},{"info":"≴∭⊉13165→⨶⪴≴∭⊉4035=≴∭⊉-15141","layer":3},{"info":"≴∭⊉2443↺≴∭⊉-15141=≴∭⊉-15141","layer":2},{"info":"≴∭⊉20655⪛≴∭⊉11061=≴∭⊉6564","layer":3},{"info":"≴∭⊉16665⨜⨶≴∭⊉12325=≴∭⊉-24136","layer":3},{"info":"≴∭⊉6564⩦≴∭⊉-24136=≴∭⊉16461","layer":2},{"info":"≴∭⊉-15141∀⇚≩≴∭⊉16461=NaN","layer":1},{"info":"⨙⪌NaN=NaN","layer":0}]}
+{"id":593,"expression_no_base_symbol":"(⩏⊷≩$1528$⪶≀⋏$1622$)≄⊠((⋂$1048$)⊭↱(⫵↿$2356$))↙(↩$1438$⊨$2558$)⋾⨃∁($1218$⪘⫢$5873$⇴∐$7167$⪛$2582$)","expression":"(⩏⊷≩≴∭⊉4312⪶≀⋏≴∭⊉4505)≄⊠((⋂≴∭⊉3025)⊭↱(⫵↿≴∭⊉6604))↙(↩≴∭⊉4123⊨≴∭⊉10313)⋾⨃∁(≴∭⊉3360⪘⫢≴∭⊉23060⇴∐≴∭⊉26616⪛≴∭⊉10346)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":398,"operation_count":13,"complexity_ratio":30.615384615384617,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":1528,"base":7},"right_expr":{"type":"numeric_atoms","value":1622,"base":7}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⋂","unary_expr":{"type":"numeric_atoms","value":1048,"base":7}},"right_expr":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"numeric_atoms","value":2356,"base":7}}}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":1438,"base":7},"right_expr":{"type":"numeric_atoms","value":2558,"base":7}}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1218,"base":7},"right_expr":{"type":"numeric_atoms","value":5873,"base":7}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":7167,"base":7},"right_expr":{"type":"numeric_atoms","value":2582,"base":7}}}}},"used_operators":["yyfyN0ffXY","vXNesLlMH1","uOZ1tnYMDE","zR4jO40bMj","COABgblf1C","BUOGQAYlQx","ivGwdmUAux","212REbPD9h","jLgFTUHLKL","vg4gO5BX6G","HnzytWxmAO","oacrs7FA3X","uFcxV4UQCh"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","23Mk6UjR3U","12rbrZMWeM","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"≴∭⊉-1254","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1528","layer":4},{"info":"number node, value=1622","layer":4},{"info":"compute binary expreesion, left_input=1528, right_input=1622, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-8060","layer":3},{"info":"compute unary expreesion, input=-8060, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=32854","layer":2},{"info":"number node, value=1048","layer":4},{"info":"compute unary expreesion, input=1048, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=-14076","layer":3},{"info":"number node, value=2356","layer":4},{"info":"compute unary expreesion, input=2356, op_id = ivGwdmUAux, unary_op_definition = '⫵↿a = { ((a⫃⨇256)∽(a∀⇚≩66)) , if (⇨a)>=1 ; (↯⪼(a⨫⇇↔a)) , else }', output=137","layer":3},{"info":"compute binary expreesion, left_input=-14076, right_input=137, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=28431","layer":2},{"info":"compute binary expreesion, left_input=32854, right_input=28431, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=459564","layer":1},{"info":"number node, value=1438","layer":4},{"info":"number node, value=2558","layer":4},{"info":"compute binary expreesion, left_input=1438, right_input=2558, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=6783","layer":3},{"info":"compute unary expreesion, input=6783, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-51484","layer":2},{"info":"number node, value=1218","layer":4},{"info":"number node, value=5873","layer":4},{"info":"compute binary expreesion, left_input=1218, right_input=5873, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2312","layer":3},{"info":"number node, value=7167","layer":4},{"info":"number node, value=2582","layer":4},{"info":"compute binary expreesion, left_input=7167, right_input=2582, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2003","layer":3},{"info":"compute binary expreesion, left_input=2312, right_input=2003, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-51484, right_input=nan, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=459564, right_input=160, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-480","layer":0}],"base":7,"result_base":7,"text":"(⩏⊷≩≴∭⊉4312⪶≀⋏≴∭⊉4505)≄⊠((⋂≴∭⊉3025)⊭↱(⫵↿≴∭⊉6604))↙(↩≴∭⊉4123⊨≴∭⊉10313)⋾⨃∁(≴∭⊉3360⪘⫢≴∭⊉23060⇴∐≴∭⊉26616⪛≴∭⊉10346)=≴∭⊉-1254","reverse_text":"≴∭⊉-1254=(⩏⊷≩≴∭⊉4312⪶≀⋏≴∭⊉4505)≄⊠((⋂≴∭⊉3025)⊭↱(⫵↿≴∭⊉6604))↙(↩≴∭⊉4123⊨≴∭⊉10313)⋾⨃∁(≴∭⊉3360⪘⫢≴∭⊉23060⇴∐≴∭⊉26616⪛≴∭⊉10346)","cot":[{"info":"≴∭⊉4312⪶≀⋏≴∭⊉4505=≴∭⊉-32333","layer":3},{"info":"⩏⊷≩≴∭⊉-32333=≴∭⊉164533","layer":2},{"info":"⋂≴∭⊉3025=≴∭⊉-56016","layer":3},{"info":"⫵↿≴∭⊉6604=≴∭⊉254","layer":3},{"info":"≴∭⊉-56016⊭↱≴∭⊉254=≴∭⊉145614","layer":2},{"info":"≴∭⊉164533≄⊠≴∭⊉145614=≴∭⊉3622560","layer":1},{"info":"≴∭⊉4123⊨≴∭⊉10313=≴∭⊉25530","layer":3},{"info":"↩≴∭⊉25530=≴∭⊉-303046","layer":2},{"info":"≴∭⊉3360⪘⫢≴∭⊉23060=≴∭⊉6512","layer":3},{"info":"≴∭⊉26616⪛≴∭⊉10346=≴∭⊉5561","layer":3},{"info":"≴∭⊉6512⇴∐≴∭⊉5561=NaN","layer":2},{"info":"≴∭⊉-303046⋾⨃∁NaN=≴∭⊉316","layer":1},{"info":"≴∭⊉3622560↙≴∭⊉316=≴∭⊉-1254","layer":0}]}
+{"id":594,"expression_no_base_symbol":"(∤↝($2357$⨵⪆$4476$)∊∟⩊($5130$≨$2506$))⊲⩕⊾(⇘(⊤⊝(≋$3360$)))","expression":"(∤↝(≴∭⊉6605⨵⪆≴∭⊉16023)∊∟⩊(≴∭⊉20646≨≴∭⊉10210))⊲⩕⊾(⇘(⊤⊝(≋≴∭⊉12540)))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":11000,"operation_count":8,"complexity_ratio":1375.0,"tree":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2357,"base":7},"right_expr":{"type":"numeric_atoms","value":4476,"base":7}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":5130,"base":7},"right_expr":{"type":"numeric_atoms","value":2506,"base":7}}}},"right_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"numeric_atoms","value":3360,"base":7}}}}},"used_operators":["DmTXOeWf9t","3UMq87Qwqg","ddLRYrp01A","2DQ55sFlQl","0KMCeP1Jsh","MGuIdZPyUC","rXAclfmB4M","61wBmkZwlr"],"dependent_operators":["23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","rysDP5nf3Z","t8gj7n24qd","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","sdazOOVcIp","7j4O788W3g"],"result":"≴∭⊉-14445631","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2357","layer":4},{"info":"number node, value=4476","layer":4},{"info":"compute binary expreesion, left_input=2357, right_input=4476, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=5130","layer":4},{"info":"number node, value=2506","layer":4},{"info":"compute binary expreesion, left_input=5130, right_input=2506, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-48824","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-48824, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵���)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=-48824","layer":2},{"info":"compute unary expreesion, input=-48824, op_id = 3UMq87Qwqg, unary_op_definition = '∤↝a = { a , if ((a⊬⨰244)<=56 or (⫇a)>308 or (a⨐673)<=60) ; (((↩⪖a)⩼⇪↪(57∝206))↺(↩(⊲⪭a))) , else }', output=-48824","layer":1},{"info":"number node, value=3360","layer":4},{"info":"compute unary expreesion, input=3360, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=3360","layer":3},{"info":"compute unary expreesion, input=3360, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=5422","layer":2},{"info":"compute unary expreesion, input=5422, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=319702","layer":1},{"info":"compute binary expreesion, left_input=-48824, right_input=319702, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-1373002","layer":0}],"base":7,"result_base":7,"text":"(∤↝(≴∭⊉6605⨵⪆≴∭⊉16023)∊∟⩊(≴∭⊉20646≨≴∭⊉10210))⊲⩕⊾(⇘(⊤⊝(≋≴∭⊉12540)))=≴∭⊉-14445631","reverse_text":"≴∭⊉-14445631=(∤↝(≴∭⊉6605⨵⪆≴∭⊉16023)∊∟⩊(≴∭⊉20646≨≴∭⊉10210))⊲⩕⊾(⇘(⊤⊝(≋≴∭⊉12540)))","cot":[{"info":"≴∭⊉6605⨵⪆≴∭⊉16023=≴∭⊉316","layer":3},{"info":"≴∭⊉20646≨≴∭⊉10210=≴∭⊉-262226","layer":3},{"info":"≴∭⊉316∊∟⩊≴∭⊉-262226=≴∭⊉-262226","layer":2},{"info":"∤↝≴∭⊉-262226=≴∭⊉-262226","layer":1},{"info":"≋≴∭⊉12540=≴∭⊉12540","layer":3},{"info":"⊤⊝≴∭⊉12540=≴∭⊉21544","layer":2},{"info":"⇘≴∭⊉21544=≴∭⊉2501035","layer":1},{"info":"≴∭⊉-262226⊲⩕⊾≴∭⊉2501035=≴∭⊉-14445631","layer":0}]}
+{"id":595,"expression_no_base_symbol":"⨣⨃⇪(($3697$∇⊂⋱$2656$)∺≝⩲($3497$↙$1665$)⇄(⪁⇼($1381$%$1655$)))","expression":"⨣⨃⇪((≴∭⊉13531∇⊂⋱≴∭⊉10513)∺≝⩲(≴∭⊉13124↙≴∭⊉4566)⇄(⪁⇼(≴∭⊉4012%≴∭⊉4553)))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1717,"operation_count":7,"complexity_ratio":245.28571428571428,"tree":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":3697,"base":7},"right_expr":{"type":"numeric_atoms","value":2656,"base":7}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3497,"base":7},"right_expr":{"type":"numeric_atoms","value":1665,"base":7}}},"right_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1381,"base":7},"right_expr":{"type":"numeric_atoms","value":1655,"base":7}}}}},"used_operators":["AcOhelriW5","3EYGwJThht","KPf6cnQVty","nhYeJWJD5X","yyfyN0ffXY","ZNVVrZ94lY","k8jYdgA6NY"],"dependent_operators":["s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","tmPS8pqC7x","DpFCA1CohY","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","rysDP5nf3Z"],"result":"≴∭⊉4045","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3697","layer":4},{"info":"number node, value=2656","layer":4},{"info":"compute binary expreesion, left_input=3697, right_input=2656, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=6848","layer":3},{"info":"number node, value=3497","layer":4},{"info":"number node, value=1665","layer":4},{"info":"compute binary expreesion, left_input=3497, right_input=1665, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4995","layer":3},{"info":"compute binary expreesion, left_input=6848, right_input=-4995, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":2},{"info":"number node, value=1381","layer":4},{"info":"number node, value=1655","layer":4},{"info":"compute binary expreesion, left_input=1381, right_input=1655, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1381","layer":3},{"info":"compute unary expreesion, input=1381, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=422, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=62","layer":1},{"info":"compute unary expreesion, input=62, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":0}],"base":7,"result_base":7,"text":"⨣⨃⇪((≴∭⊉13531∇⊂⋱≴∭⊉10513)∺≝⩲(≴∭⊉13124↙≴∭⊉4566)⇄(⪁⇼(≴∭⊉4012%≴∭⊉4553)))=≴∭⊉4045","reverse_text":"≴∭⊉4045=⨣⨃⇪((≴∭⊉13531∇⊂⋱≴∭⊉10513)∺≝⩲(≴∭⊉13124↙≴∭⊉4566)⇄(⪁⇼(≴∭⊉4012%≴∭⊉4553)))","cot":[{"info":"≴∭⊉13531∇⊂⋱≴∭⊉10513=≴∭⊉25652","layer":3},{"info":"≴∭⊉13124↙≴∭⊉4566=≴∭⊉-20364","layer":3},{"info":"≴∭⊉25652∺≝⩲≴∭⊉-20364=≴∭⊉316","layer":2},{"info":"≴∭⊉4012%≴∭⊉4553=≴∭⊉4012","layer":3},{"info":"⪁⇼≴∭⊉4012=≴∭⊉1142","layer":2},{"info":"≴∭⊉316⇄≴∭⊉1142=≴∭⊉116","layer":1},{"info":"⨣⨃⇪≴∭⊉116=≴∭⊉4045","layer":0}]}
+{"id":596,"expression_no_base_symbol":"(($4383$⫔⩽⩺$3920$⪒$2861$⊍⩺⋍$5006$)*$2072$⇻⋧≁$4082$≬⇓$2292$≦↸$2748$)⨀⨒","expression":"((≴∭⊉15531⫔⩽⩺≴∭⊉14300⪒≴∭⊉11225⊍⩺⋍≴∭⊉20411)*≴∭⊉6020⇻⋧≁≴∭⊉14621≬⇓≴∭⊉6453≦↸≴∭⊉11004)⨀⨒","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3905,"operation_count":8,"complexity_ratio":488.125,"tree":{"type":"unary","operator":"⨀⨒","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":4383,"base":7},"right_expr":{"type":"numeric_atoms","value":3920,"base":7}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":2861,"base":7},"right_expr":{"type":"numeric_atoms","value":5006,"base":7}}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":2072,"base":7},"right_expr":{"type":"numeric_atoms","value":4082,"base":7}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":2292,"base":7},"right_expr":{"type":"numeric_atoms","value":2748,"base":7}}}}},"used_operators":["j6NVkjMzuk","9HNa5Wba9A","f6k1SAg4EE","i9eR4S00cU","OXDGMFPWZM","jWTQ2TZYIH","jCPkEVoL5K","RygbFNSyEJ"],"dependent_operators":["E4l6HwMY31","Ikt5ks8PT7","HmxsFra2vL","oacrs7FA3X","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","Tw270M8GLb","fu6greOZ01","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4383","layer":4},{"info":"number node, value=3920","layer":4},{"info":"compute binary expreesion, left_input=4383, right_input=3920, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"number node, value=2861","layer":4},{"info":"number node, value=5006","layer":4},{"info":"compute binary expreesion, left_input=2861, right_input=5006, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=2072","layer":4},{"info":"number node, value=4082","layer":4},{"info":"compute binary expreesion, left_input=2072, right_input=4082, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"number node, value=2292","layer":4},{"info":"number node, value=2748","layer":4},{"info":"compute binary expreesion, left_input=2292, right_input=2748, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-9399","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=-9399, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=2050364","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2050364, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = j6NVkjMzuk, unary_op_definition = 'a⨀⨒ = { ((a⪘⫢a)⊔(a⪘⫢a)) , if a!=184 ; ((a⩧⪆a)∙∹∝a) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉15531⫔⩽⩺≴∭⊉14300⪒≴∭⊉11225⊍⩺⋍≴∭⊉20411)*≴∭⊉6020⇻⋧≁≴∭⊉14621≬⇓≴∭⊉6453≦↸≴∭⊉11004)⨀⨒=NaN","reverse_text":"NaN=((≴∭⊉15531⫔⩽⩺≴∭⊉14300⪒≴∭⊉11225⊍⩺⋍≴∭⊉20411)*≴∭⊉6020⇻⋧≁≴∭⊉14621≬⇓≴∭⊉6453≦↸≴∭⊉11004)⨀⨒","cot":[{"info":"≴∭⊉15531⫔⩽⩺≴∭⊉14300=NaN","layer":3},{"info":"≴∭⊉11225⊍⩺⋍≴∭⊉20411=NaN","layer":3},{"info":"NaN⪒NaN=NaN","layer":2},{"info":"≴∭⊉6020⇻⋧≁≴∭⊉14621=≴∭⊉-1206","layer":3},{"info":"≴∭⊉6453≦↸≴∭⊉11004=≴∭⊉-36255","layer":3},{"info":"≴∭⊉-1206≬⇓≴∭⊉-36255=≴∭⊉23266511","layer":2},{"info":"NaN*≴∭⊉23266511=NaN","layer":1},{"info":"NaN⨀⨒=NaN","layer":0}]}
+{"id":597,"expression_no_base_symbol":"(≔(↯⪼$2334$)≌($5662$⩹$1910$))⊨(($4371$⋾⨃∁$1546$∙⊟$5865$≓∲$5603$)≥⨤⩑(⇤←($3091$+$2922$)))","expression":"(≔(↯⪼≴∭⊉6543)≌(≴∭⊉22336⩹≴∭⊉5366))⊨((≴∭⊉15513⋾⨃∁≴∭⊉4336∙⊟≴∭⊉23046≓∲≴∭⊉22223)≥⨤⩑(⇤←(≴∭⊉12004+≴∭⊉11343)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":405689,"operation_count":11,"complexity_ratio":36880.818181818184,"tree":{"type":"binary","operator":"⊨","left_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"binary","operator":"≌","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":2334,"base":7}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":5662,"base":7},"right_expr":{"type":"numeric_atoms","value":1910,"base":7}}}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":4371,"base":7},"right_expr":{"type":"numeric_atoms","value":1546,"base":7}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":5865,"base":7},"right_expr":{"type":"numeric_atoms","value":5603,"base":7}}},"right_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":3091,"base":7},"right_expr":{"type":"numeric_atoms","value":2922,"base":7}}}}},"used_operators":["vg4gO5BX6G","8FLs4eVsLt","lyWz822IDG","8jW3W4yZS5","2Wsdkap16l","gJLn6v0xnP","SxTAKzQCrw","212REbPD9h","s1XTVnmDOJ","jfAgQ2OQeM","W4YGzv6Whe"],"dependent_operators":["NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2334","layer":4},{"info":"compute unary expreesion, input=2334, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"number node, value=5662","layer":4},{"info":"number node, value=1910","layer":4},{"info":"compute binary expreesion, left_input=5662, right_input=1910, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=1908","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=1908, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=nan","layer":1},{"info":"number node, value=4371","layer":4},{"info":"number node, value=1546","layer":4},{"info":"compute binary expreesion, left_input=4371, right_input=1546, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=23882514","layer":3},{"info":"number node, value=5865","layer":4},{"info":"number node, value=5603","layer":4},{"info":"compute binary expreesion, left_input=5865, right_input=5603, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=59433","layer":3},{"info":"compute binary expreesion, left_input=23882514, right_input=59433, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=310482528","layer":2},{"info":"number node, value=3091","layer":4},{"info":"number node, value=2922","layer":4},{"info":"compute binary expreesion, left_input=3091, right_input=2922, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6013","layer":3},{"info":"compute unary expreesion, input=6013, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=-28699","layer":2},{"info":"compute binary expreesion, left_input=310482528, right_input=-28699, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=620965056","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=620965056, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≔(↯⪼≴∭⊉6543)≌(≴∭⊉22336⩹≴∭⊉5366))⊨((≴∭⊉15513⋾⨃∁≴∭⊉4336∙⊟≴∭⊉23046≓∲≴∭⊉22223)≥⨤⩑(⇤←(≴∭⊉12004+≴∭⊉11343)))=NaN","reverse_text":"NaN=(≔(↯⪼≴∭⊉6543)≌(≴∭⊉22336⩹≴∭⊉5366))⊨((≴∭⊉15513⋾⨃∁≴∭⊉4336∙⊟≴∭⊉23046≓∲≴∭⊉22223)≥⨤⩑(⇤←(≴∭⊉12004+≴∭⊉11343)))","cot":[{"info":"↯⪼≴∭⊉6543=≴∭⊉-30","layer":3},{"info":"≴∭⊉22336⩹≴∭⊉5366=≴∭⊉5364","layer":3},{"info":"≴∭⊉-30≌≴∭⊉5364=NaN","layer":2},{"info":"≔NaN=NaN","layer":1},{"info":"≴∭⊉15513⋾⨃∁≴∭⊉4336=≴∭⊉406666215","layer":3},{"info":"≴∭⊉23046≓∲≴∭⊉22223=≴∭⊉335163","layer":3},{"info":"≴∭⊉406666215∙⊟≴∭⊉335163=≴∭⊉10460025606","layer":2},{"info":"≴∭⊉12004+≴∭⊉11343=≴∭⊉23350","layer":3},{"info":"⇤←≴∭⊉23350=≴∭⊉-146446","layer":2},{"info":"≴∭⊉10460025606≥⨤⩑≴∭⊉-146446=≴∭⊉21250054515","layer":1},{"info":"NaN⊨≴∭⊉21250054515=NaN","layer":0}]}
+{"id":598,"expression_no_base_symbol":"((⨙⪌$2449$)↳∿⪆($7228$↺$1154$)⨒($5687$*$3237$)↳∿⪆$4965$⨼⩣$1371$)⩒⫫(⪹(↣≠⋷$1212$⊕∕$1540$))","expression":"((⨙⪌≴∭⊉10066)↳∿⪆(≴∭⊉30034↺≴∭⊉3236)⨒(≴∭⊉22403*≴∭⊉12303)↳∿⪆≴∭⊉20322⨼⩣≴∭⊉3666)⩒⫫(⪹(↣≠⋷≴∭⊉3351⊕∕≴∭⊉4330))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":9301,"operation_count":11,"complexity_ratio":845.5454545454545,"tree":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"numeric_atoms","value":2449,"base":7}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":7228,"base":7},"right_expr":{"type":"numeric_atoms","value":1154,"base":7}}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":5687,"base":7},"right_expr":{"type":"numeric_atoms","value":3237,"base":7}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":4965,"base":7},"right_expr":{"type":"numeric_atoms","value":1371,"base":7}}}},"right_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":1212,"base":7},"right_expr":{"type":"numeric_atoms","value":1540,"base":7}}}}},"used_operators":["KFSx94NKJn","y75s1iXyHd","Cw4SuJJGHO","vEGLkm4Z2k","7j4O788W3g","9HNa5Wba9A","JxwMv5le6e","USyYr0JgAa","Asc51vEJeQ","9cloC0Ngie"],"dependent_operators":["NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","tifHPKVTfV","XhwjNDsVaA","AHs5Up7iyr","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2449","layer":4},{"info":"compute unary expreesion, input=2449, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":3},{"info":"number node, value=7228","layer":4},{"info":"number node, value=1154","layer":4},{"info":"compute binary expreesion, left_input=7228, right_input=1154, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1154","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=1154, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":2},{"info":"number node, value=5687","layer":4},{"info":"number node, value=3237","layer":4},{"info":"compute binary expreesion, left_input=5687, right_input=3237, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=18408819","layer":3},{"info":"number node, value=4965","layer":4},{"info":"number node, value=1371","layer":4},{"info":"compute binary expreesion, left_input=4965, right_input=1371, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=18408819, right_input=nan, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=nan","layer":1},{"info":"number node, value=1212","layer":4},{"info":"number node, value=1540","layer":4},{"info":"compute binary expreesion, left_input=1212, right_input=1540, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=1212","layer":3},{"info":"compute unary expreesion, input=1212, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((⨙⪌≴∭⊉10066)↳∿⪆(≴∭⊉30034↺≴∭⊉3236)⨒(≴∭⊉22403*≴∭⊉12303)↳∿⪆≴∭⊉20322⨼⩣≴∭⊉3666)⩒⫫(⪹(↣≠⋷≴∭⊉3351⊕∕≴∭⊉4330))=NaN","reverse_text":"NaN=((⨙⪌≴∭⊉10066)↳∿⪆(≴∭⊉30034↺≴∭⊉3236)⨒(≴∭⊉22403*≴∭⊉12303)↳∿⪆≴∭⊉20322⨼⩣≴∭⊉3666)⩒⫫(⪹(↣≠⋷≴∭⊉3351⊕∕≴∭⊉4330))","cot":[{"info":"⨙⪌≴∭⊉10066=≴∭⊉2350","layer":3},{"info":"≴∭⊉30034↺≴∭⊉3236=≴∭⊉3236","layer":3},{"info":"≴∭⊉2350↳∿⪆≴∭⊉3236=NaN","layer":2},{"info":"≴∭⊉22403*≴∭⊉12303=≴∭⊉312321012","layer":3},{"info":"≴∭⊉20322⨼⩣≴∭⊉3666=NaN","layer":3},{"info":"≴∭⊉312321012↳∿⪆NaN=NaN","layer":2},{"info":"NaN⨒NaN=NaN","layer":1},{"info":"≴∭⊉3351⊕∕≴∭⊉4330=≴∭⊉3351","layer":3},{"info":"↣≠⋷≴∭⊉3351=NaN","layer":2},{"info":"⪹NaN=NaN","layer":1},{"info":"NaN⩒⫫NaN=NaN","layer":0}]}
+{"id":599,"expression_no_base_symbol":"((⨑⩽⪐$6585$)⫌⩉⩟$4628$⊔$1300$)≁($2350$⇂≾⫗$1177$⊝⪿⪼(⪭⩑⪱$1782$))+⇶⊼((($6201$⨐⩸⫘$3378$)⊬⫿⊭)∪⫐($6891$⩢≌)⇼⇔∾$2576$⪢$1818$)","expression":"((⨑⩽⪐≴∭⊉25125)⫌⩉⩟≴∭⊉16331⊔≴∭⊉3535)≁(≴∭⊉6565⇂≾⫗≴∭⊉3301⊝⪿⪼(⪭⩑⪱≴∭⊉5124))+⇶⊼(((≴∭⊉24036⨐⩸⫘≴∭⊉12564)⊬⫿⊭)∪⫐(≴∭⊉26043⩢≌)⇼⇔∾≴∭⊉10340⪢≴∭⊉5205)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":432943,"operation_count":14,"complexity_ratio":30924.5,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":6585,"base":7}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":4628,"base":7},"right_expr":{"type":"numeric_atoms","value":1300,"base":7}}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":2350,"base":7},"right_expr":{"type":"numeric_atoms","value":1177,"base":7}},"right_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"numeric_atoms","value":1782,"base":7}}}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"unary","operator":"⊬⫿⊭","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":6201,"base":7},"right_expr":{"type":"numeric_atoms","value":3378,"base":7}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⩢≌","unary_expr":{"type":"numeric_atoms","value":6891,"base":7}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2576,"base":7},"right_expr":{"type":"numeric_atoms","value":1818,"base":7}}}}},"used_operators":["TpPTUOHfaN","8N2wDY1A35","XIIwhv8d0m","AF7qkfDlqP","E4l6HwMY31","3Oe9XWJUTD","aBQ6xLxuTc","SIgE0bArFf","7YooWSwCyH","v0DYgG9ikt","fu6greOZ01","tifHPKVTfV","D617RFjZIq","dWAJyo7jo9"],"dependent_operators":["AHs5Up7iyr","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","rJVOvQCfKK","2DDjHMKMc0","eLAdDNolq6","P8v4zCKN1o","7j4O788W3g","8w2t5hMYqp","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","hTbEZDJLEm","o20kRiQErp","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6585","layer":4},{"info":"compute unary expreesion, input=6585, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-6312","layer":3},{"info":"number node, value=4628","layer":4},{"info":"number node, value=1300","layer":4},{"info":"compute binary expreesion, left_input=4628, right_input=1300, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=13356","layer":3},{"info":"compute binary expreesion, left_input=-6312, right_input=13356, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":2},{"info":"number node, value=2350","layer":4},{"info":"number node, value=1177","layer":4},{"info":"compute binary expreesion, left_input=2350, right_input=1177, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"number node, value=1782","layer":4},{"info":"compute unary expreesion, input=1782, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":3},{"info":"compute binary expreesion, left_input=-676, right_input=8320752, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=-208","layer":2},{"info":"compute binary expreesion, left_input=-50, right_input=-208, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=-16313","layer":1},{"info":"number node, value=6201","layer":4},{"info":"number node, value=3378","layer":4},{"info":"compute binary expreesion, left_input=6201, right_input=3378, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = v0DYgG9ikt, unary_op_definition = 'a⊬⫿⊭ = { ((⨑⩽⪐(≤/a))↺((⨞⊢a)⨰(↽≂188))) , if a<119 ; (((∥⊫a)⨳⩥⨓(a⨵⪆a))↺(⊄⩳↩(a⋝⋈⪟a))) , else }', output=nan","layer":2},{"info":"number node, value=6891","layer":4},{"info":"compute unary expreesion, input=6891, op_id = D617RFjZIq, unary_op_definition = 'a⩢≌ = { ((a∸)∟) }', output=113","layer":3},{"info":"number node, value=2576","layer":4},{"info":"number node, value=1818","layer":4},{"info":"compute binary expreesion, left_input=2576, right_input=1818, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-16313, right_input=nan, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":0}],"base":7,"result_base":7,"text":"((⨑⩽⪐≴∭⊉25125)⫌⩉⩟≴∭⊉16331⊔≴∭⊉3535)≁(≴∭⊉6565⇂≾⫗≴∭⊉3301⊝⪿⪼(⪭⩑⪱≴∭⊉5124))+⇶⊼(((≴∭⊉24036⨐⩸⫘≴∭⊉12564)⊬⫿⊭)∪⫐(≴∭⊉26043⩢≌)⇼⇔∾≴∭⊉10340⪢≴∭⊉5205)=NaN","reverse_text":"NaN=((⨑⩽⪐≴∭⊉25125)⫌⩉⩟≴∭⊉16331⊔≴∭⊉3535)≁(≴∭⊉6565⇂≾⫗≴∭⊉3301⊝⪿⪼(⪭⩑⪱≴∭⊉5124))+⇶⊼(((≴∭⊉24036⨐⩸⫘≴∭⊉12564)⊬⫿⊭)∪⫐(≴∭⊉26043⩢≌)⇼⇔∾≴∭⊉10340⪢≴∭⊉5205)","cot":[{"info":"⨑⩽⪐≴∭⊉25125=≴∭⊉-24255","layer":3},{"info":"≴∭⊉16331⊔��∭⊉3535=≴∭⊉53640","layer":3},{"info":"≴∭⊉-24255⫌⩉⩟≴∭⊉53640=≴∭⊉-101","layer":2},{"info":"≴∭⊉6565⇂≾⫗≴∭⊉3301=≴∭⊉-1654","layer":3},{"info":"⪭⩑⪱≴∭⊉5124=≴∭⊉130503516","layer":3},{"info":"≴∭⊉-1654⊝⪿⪼≴∭⊉130503516=≴∭⊉-415","layer":2},{"info":"≴∭⊉-101≁≴∭⊉-415=≴∭⊉-65363","layer":1},{"info":"≴∭⊉24036⨐⩸⫘≴∭⊉12564=NaN","layer":3},{"info":"NaN⊬⫿⊭=NaN","layer":2},{"info":"≴∭⊉26043⩢≌=≴∭⊉221","layer":3},{"info":"≴∭⊉10340⪢≴∭⊉5205=NaN","layer":3},{"info":"≴∭⊉221⇼⇔∾NaN=NaN","layer":2},{"info":"NaN∪⫐NaN=NaN","layer":1},{"info":"≴∭⊉-65363+⇶⊼NaN=NaN","layer":0}]}
+{"id":600,"expression_no_base_symbol":"(↡(⩩($2226$∷$3872$)))⪘⫢($2874$⊮⊟↴$2013$∋($1665$⫘$5412$)⪨⊡($1566$⨪↰⇹$1241$)≁($4092$⪚$4829$))","expression":"(↡(⩩(≴∭⊉6330∷≴∭⊉14201)))⪘⫢(≴∭⊉11244⊮⊟↴≴∭⊉5604∋(≴∭⊉4566⫘≴∭⊉21531)⪨⊡(≴∭⊉4365⨪↰⇹≴∭⊉3422)≁(≴∭⊉14634⪚≴∭⊉20036))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":8562,"operation_count":11,"complexity_ratio":778.3636363636364,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":2226,"base":7},"right_expr":{"type":"numeric_atoms","value":3872,"base":7}}}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":2874,"base":7},"right_expr":{"type":"numeric_atoms","value":2013,"base":7}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":1665,"base":7},"right_expr":{"type":"numeric_atoms","value":5412,"base":7}}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1566,"base":7},"right_expr":{"type":"numeric_atoms","value":1241,"base":7}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":4092,"base":7},"right_expr":{"type":"numeric_atoms","value":4829,"base":7}}}}},"used_operators":["oacrs7FA3X","MXaNJeIAZ3","kMhfGuqI2H","D3AQDKkPcf","kuIXHzHcAH","ukq6epAj5P","QDVgd2eftb","48vC8HMD2b","8N2wDY1A35","tmPS8pqC7x","HrjLwUk87U"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","9FxExcQeMw","NTOWxs364D","7j4O788W3g","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","rJVOvQCfKK","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2226","layer":4},{"info":"number node, value=3872","layer":4},{"info":"compute binary expreesion, left_input=2226, right_input=3872, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=3872","layer":3},{"info":"compute unary expreesion, input=3872, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"number node, value=2874","layer":4},{"info":"number node, value=2013","layer":4},{"info":"compute binary expreesion, left_input=2874, right_input=2013, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"number node, value=1665","layer":4},{"info":"number node, value=5412","layer":4},{"info":"compute binary expreesion, left_input=1665, right_input=5412, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=1962445","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1962445, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=inf","layer":2},{"info":"number node, value=1566","layer":4},{"info":"number node, value=1241","layer":4},{"info":"compute binary expreesion, left_input=1566, right_input=1241, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1566","layer":3},{"info":"number node, value=4092","layer":4},{"info":"number node, value=4829","layer":4},{"info":"compute binary expreesion, left_input=4092, right_input=4829, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-1830","layer":3},{"info":"compute binary expreesion, left_input=1566, right_input=-1830, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=-61729","layer":2},{"info":"compute binary expreesion, left_input=inf, right_input=-61729, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=247705","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=247705, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(↡(⩩(≴∭⊉6330∷≴∭⊉14201)))⪘⫢(≴∭⊉11244⊮⊟↴≴∭⊉5604∋(≴∭⊉4566⫘≴∭⊉21531)⪨⊡(≴∭⊉4365⨪↰⇹≴∭⊉3422)≁(≴∭⊉14634⪚≴∭⊉20036))=NaN","reverse_text":"NaN=(↡(⩩(≴∭⊉6330∷≴∭⊉14201)))⪘⫢(≴∭⊉11244⊮⊟↴≴∭⊉5604∋(≴∭⊉4566⫘≴∭⊉21531)⪨⊡(≴∭⊉4365⨪↰⇹≴∭⊉3422)≁(≴∭⊉14634⪚≴∭⊉20036))","cot":[{"info":"≴∭⊉6330∷≴∭⊉14201=≴∭⊉14201","layer":3},{"info":"⩩≴∭⊉14201=NaN","layer":2},{"info":"↡NaN=NaN","layer":1},{"info":"≴∭⊉11244⊮⊟↴≴∭⊉5604=≴∭⊉0","layer":3},{"info":"≴∭⊉4566⫘≴∭⊉21531=≴∭⊉22452262","layer":3},{"info":"≴∭⊉0∋≴∭⊉22452262=Inf","layer":2},{"info":"≴∭⊉4365⨪↰⇹≴∭⊉3422=≴∭⊉4365","layer":3},{"info":"≴∭⊉14634⪚≴∭⊉20036=≴∭⊉-5223","layer":3},{"info":"≴∭⊉4365≁≴∭⊉-5223=≴∭⊉-344653","layer":2},{"info":"Inf⪨⊡≴∭⊉-344653=≴∭⊉2051113","layer":1},{"info":"NaN⪘⫢≴∭⊉2051113=NaN","layer":0}]}
+{"id":601,"expression_no_base_symbol":"⫶⊄≣((↴⪽⋼$1043$)⋓$1909$⩘$1001$⨽($2025$⨐$4050$⇼⇔∾$1073$⨐$4840$))","expression":"⫶⊄≣((↴⪽⋼≴∭⊉3020)⋓≴∭⊉5365⩘≴∭⊉2630⨽(≴∭⊉5622⨐≴∭⊉14544⇼⇔∾≴∭⊉3062⨐≴∭⊉20053))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4555,"operation_count":8,"complexity_ratio":569.375,"tree":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"numeric_atoms","value":1043,"base":7}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":1909,"base":7},"right_expr":{"type":"numeric_atoms","value":1001,"base":7}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":2025,"base":7},"right_expr":{"type":"numeric_atoms","value":4050,"base":7}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":1073,"base":7},"right_expr":{"type":"numeric_atoms","value":4840,"base":7}}}}},"used_operators":["wxb3vTeyAj","8HhzD0ZcuI","T2fj7uvVaJ","5TUYCnJO6w","cHh1gJQ2o6","tifHPKVTfV","Noe24qw2ks"],"dependent_operators":["eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","rysDP5nf3Z","t8gj7n24qd","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q"],"result":"≴∭⊉11424431551","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1043","layer":4},{"info":"compute unary expreesion, input=1043, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=1043","layer":3},{"info":"number node, value=1909","layer":4},{"info":"number node, value=1001","layer":4},{"info":"compute binary expreesion, left_input=1909, right_input=1001, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=1043, right_input=160, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"number node, value=2025","layer":4},{"info":"number node, value=4050","layer":4},{"info":"compute binary expreesion, left_input=2025, right_input=4050, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-4050","layer":3},{"info":"number node, value=1073","layer":4},{"info":"number node, value=4840","layer":4},{"info":"compute binary expreesion, left_input=1073, right_input=4840, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-2146","layer":3},{"info":"compute binary expreesion, left_input=-4050, right_input=-2146, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1904","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=1904, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-4398","layer":1},{"info":"compute unary expreesion, input=-4398, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=348080797","layer":0}],"base":7,"result_base":7,"text":"⫶⊄≣((↴⪽⋼≴∭⊉3020)⋓≴∭⊉5365⩘≴∭⊉2630⨽(≴∭⊉5622⨐≴∭⊉14544⇼⇔∾≴∭⊉3062⨐≴∭⊉20053))=≴∭⊉11424431551","reverse_text":"≴∭⊉11424431551=⫶⊄≣((↴⪽⋼≴∭⊉3020)⋓≴∭⊉5365⩘≴∭⊉2630⨽(≴∭⊉5622⨐≴∭⊉14544⇼⇔∾≴∭⊉3062⨐≴∭⊉20053))","cot":[{"info":"↴⪽⋼≴∭⊉3020=≴∭⊉3020","layer":3},{"info":"≴∭⊉5365⩘≴∭⊉2630=≴∭⊉316","layer":3},{"info":"≴∭⊉3020⋓≴∭⊉316=≴∭⊉0","layer":2},{"info":"≴∭⊉5622⨐≴∭⊉14544=≴∭⊉-14544","layer":3},{"info":"≴∭⊉3062⨐≴∭⊉20053=≴∭⊉-6154","layer":3},{"info":"≴∭⊉-14544⇼⇔∾≴∭⊉-6154=≴∭⊉5360","layer":2},{"info":"≴∭⊉0⨽≴∭⊉5360=≴∭⊉-15552","layer":1},{"info":"⫶⊄≣≴∭⊉-15552=≴∭⊉11424431551","layer":0}]}
+{"id":602,"expression_no_base_symbol":"(∷≠($4395$⇮⋭$2176$))⊕∕(($6285$↬⩅∪)≀⩗∶$3529$⨑⩅≇$2354$)⨎(≸($1428$⋳⪒$5469$))∋($1779$⪍↜⋙$1461$)⨸(⋎⨆$3199$)","expression":"(∷≠(≴∭⊉15546⇮⋭≴∭⊉6226))⊕∕((≴∭⊉24216↬⩅∪)≀⩗∶≴∭⊉13201⨑⩅≇≴∭⊉6602)⨎(≸(≴∭⊉4110⋳⪒≴∭⊉21642))∋(≴∭⊉5121⪍↜⋙≴∭⊉4155)⨸(⋎⨆≴∭⊉12220)","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":4127,"operation_count":13,"complexity_ratio":317.46153846153845,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":4395,"base":7},"right_expr":{"type":"numeric_atoms","value":2176,"base":7}}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"unary","operator":"↬⩅∪","unary_expr":{"type":"numeric_atoms","value":6285,"base":7}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":3529,"base":7},"right_expr":{"type":"numeric_atoms","value":2354,"base":7}}}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1428,"base":7},"right_expr":{"type":"numeric_atoms","value":5469,"base":7}}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":1779,"base":7},"right_expr":{"type":"numeric_atoms","value":1461,"base":7}},"right_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"numeric_atoms","value":3199,"base":7}}}}},"used_operators":["rJVOvQCfKK","9cloC0Ngie","QiR2Oyf5Xj","vkpjKywKVM","8INZBEW696","VJ330n2nnx","h92wMvzauj","ukq6epAj5P","eOf03JbCpp","12rbrZMWeM","KmoU8R5UQR","L05ObWFQCd","E64sFOc4tB"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","7j4O788W3g","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","D4vGDi5EA2","23Mk6UjR3U","u6S6b8DprG","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","rysDP5nf3Z","t8gj7n24qd","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH"],"result":"≴∭⊉31242123","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4395","layer":4},{"info":"number node, value=2176","layer":4},{"info":"compute binary expreesion, left_input=4395, right_input=2176, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔��(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute unary expreesion, input=-473, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=-473","layer":2},{"info":"number node, value=6285","layer":4},{"info":"compute unary expreesion, input=6285, op_id = VJ330n2nnx, unary_op_definition = 'a↬⩅∪ = { (a≦≮≮) , if (↽≂a)!=185 or a>=376 or a<=585 ; (a⋷a) , else }', output=-18855","layer":3},{"info":"number node, value=3529","layer":4},{"info":"number node, value=2354","layer":4},{"info":"compute binary expreesion, left_input=3529, right_input=2354, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-10587","layer":3},{"info":"compute binary expreesion, left_input=-18855, right_input=-10587, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-473, right_input=0, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=-473","layer":1},{"info":"number node, value=1428","layer":4},{"info":"number node, value=5469","layer":4},{"info":"compute binary expreesion, left_input=1428, right_input=5469, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-2900","layer":3},{"info":"compute unary expreesion, input=-2900, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=968","layer":2},{"info":"number node, value=1779","layer":4},{"info":"number node, value=1461","layer":4},{"info":"compute binary expreesion, left_input=1779, right_input=1461, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=636","layer":3},{"info":"number node, value=3199","layer":4},{"info":"compute unary expreesion, input=3199, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=636, right_input=0, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=1272","layer":2},{"info":"compute binary expreesion, left_input=968, right_input=1272, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=2632248","layer":1},{"info":"compute binary expreesion, left_input=-473, right_input=2632248, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2632248","layer":0}],"base":7,"result_base":7,"text":"(∷≠(≴∭⊉15546⇮⋭≴∭⊉6226))⊕∕((≴∭⊉24216↬⩅∪)≀⩗∶≴∭⊉13201⨑⩅≇≴∭⊉6602)⨎(≸(≴∭⊉4110⋳⪒≴∭⊉21642))∋(≴∭⊉5121⪍↜⋙≴∭⊉4155)⨸(⋎⨆≴∭⊉12220)=≴∭⊉31242123","reverse_text":"≴∭⊉31242123=(∷≠(≴∭⊉15546⇮⋭≴∭⊉6226))⊕∕((≴∭⊉24216↬⩅∪)≀⩗∶≴∭⊉13201⨑⩅≇≴∭⊉6602)⨎(≸(≴∭⊉4110⋳⪒≴∭⊉21642))∋(≴∭⊉5121⪍↜⋙≴∭⊉4155)⨸(⋎⨆≴∭⊉12220)","cot":[{"info":"≴∭⊉15546⇮⋭≴∭⊉6226=≴∭⊉-1244","layer":3},{"info":"∷≠≴∭⊉-1244=≴∭⊉-1244","layer":2},{"info":"≴∭⊉24216↬⩅∪=≴∭⊉-105654","layer":3},{"info":"≴∭⊉13201⨑⩅≇≴∭⊉6602=≴∭⊉-42603","layer":3},{"info":"≴∭⊉-105654≀⩗∶≴∭⊉-42603=≴∭⊉0","layer":2},{"info":"≴∭⊉-1244⊕∕≴∭⊉0=≴∭⊉-1244","layer":1},{"info":"≴∭⊉4110⋳⪒≴∭⊉21642=≴∭⊉-11312","layer":3},{"info":"≸≴∭⊉-11312=≴∭⊉2552","layer":2},{"info":"≴∭⊉5121⪍↜⋙≴∭⊉4155=≴∭⊉1566","layer":3},{"info":"⋎⨆≴∭⊉12220=≴∭⊉0","layer":3},{"info":"≴∭⊉1566⨸≴∭⊉0=≴∭⊉3465","layer":2},{"info":"≴∭⊉2552∋≴∭⊉3465=≴∭⊉31242123","layer":1},{"info":"≴∭⊉-1244⨎≴∭⊉31242123=≴∭⊉31242123","layer":0}]}
+{"id":603,"expression_no_base_symbol":"((⋣$1883$)⊝⪿⪼($3582$⩷∴$1101$)⨉)≥⨤⩑(⋗⩴⪓($1179$↸$3391$))⨫⇇↔($5494$↸$1493$∽($2395$⋹))","expression":"((⋣≴∭⊉5330)⊝⪿⪼(≴∭⊉13305⩷∴≴∭⊉3132)⨉)≥⨤⩑(⋗⩴⪓(≴∭⊉3303↸≴∭⊉12613))⨫⇇↔(≴∭⊉22006↸≴∭⊉4232∽(≴∭⊉6661⋹))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":11607,"operation_count":11,"complexity_ratio":1055.1818181818182,"tree":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"unary","operator":"⨉","unary_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"numeric_atoms","value":1883,"base":7}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":3582,"base":7},"right_expr":{"type":"numeric_atoms","value":1101,"base":7}}}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":1179,"base":7},"right_expr":{"type":"numeric_atoms","value":3391,"base":7}}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":5494,"base":7},"right_expr":{"type":"numeric_atoms","value":1493,"base":7}},"right_expr":{"type":"unary","operator":"⋹","unary_expr":{"type":"numeric_atoms","value":2395,"base":7}}}}},"used_operators":["gJLn6v0xnP","aMUSaJuDRU","3Oe9XWJUTD","zQWRhDnn8F","9FxExcQeMw","LXhwmt4mBO","nOKPl9n5zu","1eCjFl0mb9","y4ImoPnbV5","opAxDRczMr"],"dependent_operators":["mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","tmPS8pqC7x","g55IO6H4Gj","qWUSsah53b","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","rysDP5nf3Z","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","NTOWxs364D","QMFrweE19q","13rbtpv6ld","mp7IySMOzn","z63VuFQld9","aN9a90urxU","27wFxooxGf","SVb2v531z1","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1883","layer":4},{"info":"compute unary expreesion, input=1883, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-553507","layer":3},{"info":"number node, value=3582","layer":4},{"info":"number node, value=1101","layer":4},{"info":"compute binary expreesion, left_input=3582, right_input=1101, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=4930","layer":3},{"info":"compute binary expreesion, left_input=-553507, right_input=4930, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=-8292673","layer":2},{"info":"compute unary expreesion, input=-8292673, op_id = aMUSaJuDRU, unary_op_definition = 'a⨉ = { ((⫡⇟⇯148)⨸⪁(a⨪↰⇹a)) }', output=nan","layer":1},{"info":"number node, value=1179","layer":4},{"info":"number node, value=3391","layer":4},{"info":"compute binary expreesion, left_input=1179, right_input=3391, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=1179","layer":3},{"info":"compute unary expreesion, input=1179, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=-266","layer":2},{"info":"number node, value=5494","layer":4},{"info":"number node, value=1493","layer":4},{"info":"compute binary expreesion, left_input=5494, right_input=1493, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=5494","layer":3},{"info":"number node, value=2395","layer":4},{"info":"compute unary expreesion, input=2395, op_id = opAxDRczMr, unary_op_definition = 'a⋹ = { ((⨴⫝a)⇷(a↤⩊a)) , if (a≃⋄)<20 or (⊢≑≆a)<=20 ; ((a⨰a)∧) , else }', output=-20","layer":3},{"info":"compute binary expreesion, left_input=5494, right_input=-20, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-27232","layer":2},{"info":"compute binary expreesion, left_input=-266, right_input=-27232, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-527, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((⋣≴∭⊉5330)⊝⪿⪼(≴∭⊉13305⩷∴≴∭⊉3132)⨉)≥⨤⩑(⋗⩴⪓(≴∭⊉3303↸≴∭⊉12613))⨫⇇↔(≴∭⊉22006↸≴∭⊉4232∽(≴∭⊉6661⋹))=NaN","reverse_text":"NaN=((⋣≴∭⊉5330)⊝⪿⪼(≴∭⊉13305⩷∴≴∭⊉3132)⨉)≥⨤⩑(⋗⩴⪓(≴∭⊉3303↸≴∭⊉12613))⨫⇇↔(≴∭⊉22006↸≴∭⊉4232∽(≴∭⊉6661⋹))","cot":[{"info":"⋣≴∭⊉5330=≴∭⊉-4463503","layer":3},{"info":"≴∭⊉13305⩷∴≴∭⊉3132=≴∭⊉20242","layer":3},{"info":"≴∭⊉-4463503⊝⪿⪼≴∭⊉20242=≴∭⊉-130325614","layer":2},{"info":"≴∭⊉-130325614⨉=NaN","layer":1},{"info":"≴∭⊉3303↸≴∭⊉12613=≴∭⊉3303","layer":3},{"info":"⋗⩴⪓≴∭⊉3303=≴∭⊉-530","layer":2},{"info":"≴∭⊉22006↸≴∭⊉4232=≴∭⊉22006","layer":3},{"info":"≴∭⊉6661⋹=≴∭⊉-26","layer":3},{"info":"≴∭⊉22006∽≴∭⊉-26=≴∭⊉-142252","layer":2},{"info":"≴∭⊉-530⨫⇇↔≴∭⊉-142252=≴∭⊉-1352","layer":1},{"info":"NaN≥⨤⩑≴∭⊉-1352=NaN","layer":0}]}
+{"id":604,"expression_no_base_symbol":"((⨭⩧⫛(⊙↵-$2861$))⫲)⫡⨏(($9626$⫠)⪁$3500$⪭$1154$)⫁(⩪∧⨌$1084$⋾⨃∁$5869$)","expression":"((⨭⩧⫛(⊙↵-≴∭⊉11225))⫲)⫡⨏((≴∭⊉40031⫠)⪁≴∭⊉13130⪭≴∭⊉3236)⫁(⩪∧⨌≴∭⊉3106⋾⨃∁≴∭⊉23053)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":143752,"operation_count":10,"complexity_ratio":14375.2,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⫲","unary_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":2861,"base":7}}}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"unary","operator":"⫠","unary_expr":{"type":"numeric_atoms","value":9626,"base":7}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":3500,"base":7},"right_expr":{"type":"numeric_atoms","value":1154,"base":7}}},"right_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":1084,"base":7},"right_expr":{"type":"numeric_atoms","value":5869,"base":7}}}}},"used_operators":["QMFrweE19q","9xnGDUPbC6","g21JL6JxX7","oWn0xqSxBt","0ajvFaJAv0","I7sXao9hZE","6SnOT2rOjz","j9kHMeSvPp","6iOiAJX1F8","212REbPD9h"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","Qy55tPpLXF","DZ8iAZOCBD","8w2t5hMYqp","2DDjHMKMc0","AF7qkfDlqP","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","cHh1gJQ2o6","AHs5Up7iyr","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","Bmrmz2XGnR","tmPS8pqC7x","mp7IySMOzn","COABgblf1C","xUOZtlo3hN","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE"],"result":"≴∭⊉-11213","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2861","layer":4},{"info":"compute unary expreesion, input=2861, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute unary expreesion, input=-1, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=-1","layer":2},{"info":"compute unary expreesion, input=-1, op_id = 9xnGDUPbC6, unary_op_definition = 'a⫲ = { ((272⩚⊴⇥36)⊉≛↸(⨑⩽⪐a)) , if (⊄⩳↩a)<13 ; ((a⩚⊴⇥a)⋝⋈⪟(533⋥≓≎a)) , else }', output=-791","layer":1},{"info":"number node, value=9626","layer":4},{"info":"compute unary expreesion, input=9626, op_id = 6SnOT2rOjz, unary_op_definition = 'a⫠ = { ((a⇷0)⨪↰⇹(a≚⊃≕a)) }', output=0","layer":3},{"info":"number node, value=3500","layer":4},{"info":"number node, value=1154","layer":4},{"info":"compute binary expreesion, left_input=3500, right_input=1154, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=5, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=0","layer":2},{"info":"number node, value=1084","layer":4},{"info":"number node, value=5869","layer":4},{"info":"compute binary expreesion, left_input=1084, right_input=5869, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=344381088","layer":3},{"info":"compute unary expreesion, input=344381088, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=inf","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=inf, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=-791, right_input=160, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=-2852","layer":0}],"base":7,"result_base":7,"text":"((⨭⩧⫛(⊙↵-≴∭⊉11225))⫲)⫡⨏((≴∭⊉40031⫠)⪁≴∭⊉13130⪭≴∭⊉3236)⫁(⩪∧⨌≴∭⊉3106⋾⨃∁≴∭⊉23053)=≴∭⊉-11213","reverse_text":"≴∭⊉-11213=((⨭⩧⫛(⊙↵-≴∭⊉11225))⫲)⫡⨏((≴∭⊉40031⫠)⪁≴∭⊉13130⪭≴∭⊉3236)⫁(⩪∧⨌≴∭⊉3106⋾⨃∁≴∭⊉23053)","cot":[{"info":"⊙↵-≴∭⊉11225=≴∭⊉-1","layer":3},{"info":"⨭⩧⫛≴∭⊉-1=≴∭⊉-1","layer":2},{"info":"≴∭⊉-1⫲=≴∭⊉-2210","layer":1},{"info":"≴∭⊉40031⫠=≴∭⊉0","layer":3},{"info":"≴∭⊉13130⪭≴∭⊉3236=≴∭⊉5","layer":3},{"info":"≴∭⊉0⪁≴∭⊉5=≴∭⊉0","layer":2},{"info":"≴∭⊉3106⋾⨃∁���∭⊉23053=≴∭⊉11351122332","layer":3},{"info":"⩪∧⨌≴∭⊉11351122332=Inf","layer":2},{"info":"≴∭⊉0⫁Inf=≴∭⊉316","layer":1},{"info":"≴∭⊉-2210⫡⨏≴∭⊉316=≴∭⊉-11213","layer":0}]}
+{"id":605,"expression_no_base_symbol":"($4340$⨳⩥⨓$7205$)⊮⊟↴($5075$∼$4284$)⨚((⫯$1563$)⨌↪)⩠","expression":"(≴∭⊉15440⨳⩥⨓≴∭⊉30002)⊮⊟↴(≴∭⊉20540∼≴∭⊉15330)⨚((⫯≴∭⊉4362)⨌↪)⩠","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":240,"operation_count":7,"complexity_ratio":34.285714285714285,"tree":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":4340,"base":7},"right_expr":{"type":"numeric_atoms","value":7205,"base":7}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":5075,"base":7},"right_expr":{"type":"numeric_atoms","value":4284,"base":7}}},"right_expr":{"type":"unary","operator":"⨌↪","unary_expr":{"type":"unary","operator":"⫯","unary_expr":{"type":"numeric_atoms","value":1563,"base":7}}}}},"used_operators":["sJAwomhLZr","nREPSIbpBE","QDVgd2eftb","nCS4ZIUYfx","DyGG3AbaNP","cWQsF5MvuD","H6BK1Evt7c"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","BjRHVeLaeN","12rbrZMWeM","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","W4YGzv6Whe","rysDP5nf3Z","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","8w2t5hMYqp","2DQ55sFlQl","i8ToyICDmI","QMFrweE19q","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4340","layer":4},{"info":"number node, value=7205","layer":4},{"info":"compute binary expreesion, left_input=4340, right_input=7205, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=2865","layer":3},{"info":"number node, value=5075","layer":4},{"info":"number node, value=4284","layer":4},{"info":"compute binary expreesion, left_input=5075, right_input=4284, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2865, right_input=nan, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=nan","layer":2},{"info":"number node, value=1563","layer":4},{"info":"compute unary expreesion, input=1563, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=-50858","layer":3},{"info":"compute unary expreesion, input=-50858, op_id = cWQsF5MvuD, unary_op_definition = 'a⨌↪ = { (⊄⩳↩((a∲⫓a)⨵⪆(a⫡⨏a))) }', output=-480","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-480, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉15440⨳⩥⨓≴∭⊉30002)⊮⊟↴(≴∭⊉20540∼≴∭⊉15330)⨚((⫯≴∭⊉4362)⨌↪)⩠=NaN","reverse_text":"NaN=(≴∭⊉15440⨳⩥⨓≴∭⊉30002)⊮⊟↴(≴∭⊉20540∼≴∭⊉15330)⨚((⫯≴∭⊉4362)⨌↪)⩠","cot":[{"info":"≴∭⊉15440⨳⩥⨓≴∭⊉30002=≴∭⊉11232","layer":3},{"info":"≴∭⊉20540∼≴∭⊉15330=NaN","layer":3},{"info":"≴∭⊉11232⊮⊟↴NaN=NaN","layer":2},{"info":"⫯≴∭⊉4362=≴∭⊉-301163","layer":3},{"info":"≴∭⊉-301163⨌↪=≴∭⊉-1254","layer":2},{"info":"NaN⨚≴∭⊉-1254=NaN","layer":1},{"info":"NaN⩠=NaN","layer":0}]}
+{"id":606,"expression_no_base_symbol":"(∓⪦(($2725$∝$1176$)⩚⊴⇥(⨆≐≲$8640$)))∷(⨮↦↱($2386$↓$6511$)⇡⇂(↽≂$2964$))","expression":"(∓⪦((≴∭⊉10642∝≴∭⊉3300)⩚⊴⇥(⨆≐≲≴∭⊉34122)))∷(⨮↦↱(≴∭⊉6646↓≴∭⊉24661)⇡⇂(↽≂≴∭⊉11433))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":144599,"operation_count":9,"complexity_ratio":16066.555555555555,"tree":{"type":"binary","operator":"∷","left_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":2725,"base":7},"right_expr":{"type":"numeric_atoms","value":1176,"base":7}},"right_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"numeric_atoms","value":8640,"base":7}}}},"right_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":2386,"base":7},"right_expr":{"type":"numeric_atoms","value":6511,"base":7}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":2964,"base":7}}}}},"used_operators":["D3AQDKkPcf","D309nIvmXG","NTOWxs364D","cTDWOvIxvz","Bi9z9uYZqW","sYcpBQ0cFf","UMwdvZNt44","Af076pWI7l","u6S6b8DprG"],"dependent_operators":["9FxExcQeMw","NTOWxs364D","7j4O788W3g","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","7j4O788W3g","W4YGzv6Whe","COABgblf1C","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"≴∭⊉4445546330","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2725","layer":4},{"info":"number node, value=1176","layer":4},{"info":"compute binary expreesion, left_input=2725, right_input=1176, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=2730","layer":3},{"info":"number node, value=8640","layer":4},{"info":"compute unary expreesion, input=8640, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=94222680","layer":3},{"info":"compute binary expreesion, left_input=2730, right_input=94222680, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-94225531","layer":2},{"info":"compute unary expreesion, input=-94225531, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=-188452708","layer":1},{"info":"number node, value=2386","layer":4},{"info":"number node, value=6511","layer":4},{"info":"compute binary expreesion, left_input=2386, right_input=6511, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"number node, value=2964","layer":4},{"info":"compute unary expreesion, input=2964, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-5928","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=-5928, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=-131","layer":2},{"info":"compute unary expreesion, input=-131, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-708744","layer":1},{"info":"compute binary expreesion, left_input=-188452708, right_input=-708744, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=188451914","layer":0}],"base":7,"result_base":7,"text":"(∓⪦((≴∭⊉10642∝≴∭⊉3300)⩚⊴⇥(⨆≐≲≴∭⊉34122)))∷(⨮↦↱(≴∭⊉6646↓≴∭⊉24661)⇡⇂(↽≂≴∭⊉11433))=≴∭⊉4445546330","reverse_text":"≴∭⊉4445546330=(∓⪦((≴∭⊉10642∝≴∭⊉3300)⩚⊴⇥(⨆≐≲≴∭⊉34122)))∷(⨮↦↱(≴∭⊉6646↓≴∭⊉24661)⇡⇂(↽≂≴∭⊉11433))","cot":[{"info":"≴∭⊉10642∝≴∭⊉3300=≴∭⊉10650","layer":3},{"info":"⨆≐≲≴∭⊉34122=≴∭⊉2222610456","layer":3},{"info":"≴∭⊉10650⩚⊴⇥≴∭⊉2222610456=≴∭⊉-2222622001","layer":2},{"info":"∓⪦≴∭⊉-2222622001=≴∭⊉-4445551543","layer":1},{"info":"≴∭⊉6646↓≴∭⊉24661=≴∭⊉-251","layer":3},{"info":"↽≂≴∭⊉11433=≴∭⊉-23166","layer":3},{"info":"≴∭⊉-251⇡⇂≴∭⊉-23166=≴∭⊉-245","layer":2},{"info":"⨮↦↱≴∭⊉-245=≴∭⊉-6011211","layer":1},{"info":"≴∭⊉-4445551543∷≴∭⊉-6011211=≴∭⊉4445546330","layer":0}]}
+{"id":607,"expression_no_base_symbol":"(⋠∜$1116$)↳≱($1039$≁$3517$)↳≱(($6360$⪪$4499$)∳⫺(∟⋨$5293$))⊉↱≁(($2044$⨓$7829$)∘($5155$↪⪝)≄⊠($4332$⪘⫢$3007$≬⋮$5570$∋$2182$))","expression":"(⋠∜≴∭⊉3153)↳≱(≴∭⊉3013≁≴∭⊉13153)↳≱((≴∭⊉24354⪪≴∭⊉16055)∳⫺(∟⋨≴∭⊉21301))⊉↱≁((≴∭⊉5650⨓≴∭⊉31553)∘(≴∭⊉21013↪⪝)≄⊠(≴∭⊉15426⪘⫢≴∭⊉11524≬⋮≴∭⊉22145∋≴∭⊉6235))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":33544,"operation_count":15,"complexity_ratio":2236.266666666667,"tree":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"numeric_atoms","value":1116,"base":7}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":1039,"base":7},"right_expr":{"type":"numeric_atoms","value":3517,"base":7}}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":6360,"base":7},"right_expr":{"type":"numeric_atoms","value":4499,"base":7}},"right_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"numeric_atoms","value":5293,"base":7}}}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2044,"base":7},"right_expr":{"type":"numeric_atoms","value":7829,"base":7}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":5155,"base":7}}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":4332,"base":7},"right_expr":{"type":"numeric_atoms","value":3007,"base":7}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":5570,"base":7},"right_expr":{"type":"numeric_atoms","value":2182,"base":7}}}}},"used_operators":["w2P8NbNXyL","JwTKLfZU96","ZJpFhNJr3x","8N2wDY1A35","AzXXKTstlj","xD69zh8xqp","ctOc4cKSDt","vXNesLlMH1","Z5m6OM72h2","3ViojmjbAp","l07mrZUIn9","kbkesczE7y","oacrs7FA3X","ukq6epAj5P"],"dependent_operators":["9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","FU0Cs4j7VP","JclMnS0uGI","eLAdDNolq6","tmPS8pqC7x","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","eH2TOUuTDT","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","9HNa5Wba9A","2DDjHMKMc0","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV"],"result":"≴∭⊉-645562","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1116","layer":4},{"info":"compute unary expreesion, input=1116, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=6748","layer":3},{"info":"number node, value=1039","layer":4},{"info":"number node, value=3517","layer":4},{"info":"compute binary expreesion, left_input=1039, right_input=3517, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=71207","layer":3},{"info":"compute binary expreesion, left_input=6748, right_input=71207, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":2},{"info":"number node, value=6360","layer":4},{"info":"number node, value=4499","layer":4},{"info":"compute binary expreesion, left_input=6360, right_input=4499, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-956449","layer":3},{"info":"number node, value=5293","layer":4},{"info":"compute unary expreesion, input=5293, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-4809","layer":3},{"info":"compute binary expreesion, left_input=-956449, right_input=-4809, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-3816116","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-3816116, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":1},{"info":"number node, value=2044","layer":4},{"info":"number node, value=7829","layer":4},{"info":"compute binary expreesion, left_input=2044, right_input=7829, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-7832","layer":3},{"info":"number node, value=5155","layer":4},{"info":"compute unary expreesion, input=5155, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=315393210","layer":3},{"info":"compute binary expreesion, left_input=-7832, right_input=315393210, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=-15664","layer":2},{"info":"number node, value=4332","layer":4},{"info":"number node, value=3007","layer":4},{"info":"compute binary expreesion, left_input=4332, right_input=3007, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=8540","layer":3},{"info":"number node, value=5570","layer":4},{"info":"number node, value=2182","layer":4},{"info":"compute binary expreesion, left_input=5570, right_input=2182, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=4757072","layer":3},{"info":"compute binary expreesion, left_input=8540, right_input=4757072, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":2},{"info":"compute binary expreesion, left_input=-15664, right_input=868, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=18556","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=18556, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-112450","layer":0}],"base":7,"result_base":7,"text":"(⋠∜≴∭⊉3153)↳≱(≴∭⊉3013≁≴∭⊉13153)↳≱((≴∭⊉24354⪪≴∭⊉16055)∳⫺(∟⋨≴∭⊉21301))⊉↱≁((≴∭⊉5650⨓≴∭⊉31553)∘(≴∭⊉21013↪⪝)≄⊠(≴∭⊉15426⪘⫢≴∭⊉11524≬⋮≴∭⊉22145∋≴∭⊉6235))=≴∭⊉-645562","reverse_text":"≴∭⊉-645562=(⋠∜≴∭⊉3153)↳≱(≴∭⊉3013≁≴∭⊉13153)↳≱((≴∭⊉24354⪪≴∭⊉16055)∳⫺(∟⋨≴∭⊉21301))⊉↱≁((≴∭⊉5650⨓≴∭⊉31553)∘(≴∭⊉21013↪⪝)≄⊠(≴∭⊉15426⪘⫢≴∭⊉11524≬⋮≴∭⊉22145∋≴∭⊉6235))","cot":[{"info":"⋠∜≴∭⊉3153=≴∭⊉25450","layer":3},{"info":"≴∭⊉3013≁≴∭⊉13153=≴∭⊉414413","layer":3},{"info":"≴∭⊉25450↳≱≴∭⊉414413=≴∭⊉0","layer":2},{"info":"≴∭⊉24354⪪≴∭⊉16055=≴∭⊉-11062324","layer":3},{"info":"∟⋨≴∭⊉21301=≴∭⊉-20010","layer":3},{"info":"≴∭⊉-11062324∳⫺≴∭⊉-20010=≴∭⊉-44302463","layer":2},{"info":"≴∭⊉0↳≱≴∭⊉-44302463=≴∭⊉0","layer":1},{"info":"≴∭⊉5650⨓≴∭⊉31553=≴∭⊉-31556","layer":3},{"info":"≴∭⊉21013↪⪝=≴∭⊉10546540506","layer":3},{"info":"≴∭⊉-31556∘≴∭⊉10546540506=≴∭⊉-63445","layer":2},{"info":"≴∭⊉15426⪘⫢≴∭⊉11524=≴∭⊉33620","layer":3},{"info":"≴∭⊉22145∋≴∭⊉6235=≴∭⊉55302005","layer":3},{"info":"≴∭⊉33620≬⋮≴∭⊉55302005=≴∭⊉2350","layer":2},{"info":"≴∭⊉-63445≄⊠≴∭⊉2350=≴∭⊉105046","layer":1},{"info":"≴∭⊉0⊉↱≁≴∭⊉105046=≴∭⊉-645562","layer":0}]}
+{"id":608,"expression_no_base_symbol":"(($1992$⪔$3591$)≚⊃≕$2602$≚⊃≕$1196$⪛⫼($3179$*$1330$)∠↢(→⩰$3783$))⊕∕((⪓⩚(⊑$1802$))⋥≓≎(⩷$6853$)≄⊠($1946$⫃⨇$3715$))","expression":"((≴∭⊉5544⪔≴∭⊉13320)≚⊃≕≴∭⊉10405≚⊃≕≴∭⊉3326⪛⫼(≴∭⊉12161*≴∭⊉3610)∠↢(→⩰≴∭⊉14013))⊕∕((⪓⩚(⊑≴∭⊉5153))⋥≓≎(⩷≴∭⊉25660)≄⊠(≴∭⊉5450⫃⨇≴∭⊉13555))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":13201,"operation_count":14,"complexity_ratio":942.9285714285714,"tree":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":1992,"base":7},"right_expr":{"type":"numeric_atoms","value":3591,"base":7}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":2602,"base":7},"right_expr":{"type":"numeric_atoms","value":1196,"base":7}}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3179,"base":7},"right_expr":{"type":"numeric_atoms","value":1330,"base":7}},"right_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"numeric_atoms","value":3783,"base":7}}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"numeric_atoms","value":1802,"base":7}}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"numeric_atoms","value":6853,"base":7}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":1946,"base":7},"right_expr":{"type":"numeric_atoms","value":3715,"base":7}}}}},"used_operators":["9cloC0Ngie","hyuBjUqXlG","Bmrmz2XGnR","GjBEYRfMaF","KbjG8mgYpV","9HNa5Wba9A","o8Pngz0Tml","Qy55tPpLXF","u0R0Locfp2","IkUmn0D7oy","vXNesLlMH1","1h0rLqGiFr","09Ly4LVMIf"],"dependent_operators":["Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","W4YGzv6Whe","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1992","layer":4},{"info":"number node, value=3591","layer":4},{"info":"compute binary expreesion, left_input=1992, right_input=3591, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"number node, value=2602","layer":4},{"info":"number node, value=1196","layer":4},{"info":"compute binary expreesion, left_input=2602, right_input=1196, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=450, right_input=67, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":2},{"info":"number node, value=3179","layer":4},{"info":"number node, value=1330","layer":4},{"info":"compute binary expreesion, left_input=3179, right_input=1330, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=4228070","layer":3},{"info":"number node, value=3783","layer":4},{"info":"compute unary expreesion, input=3783, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=4228070, right_input=nan, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=nan","layer":1},{"info":"number node, value=1802","layer":4},{"info":"compute unary expreesion, input=1802, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":3},{"info":"compute unary expreesion, input=192, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":2},{"info":"number node, value=6853","layer":4},{"info":"compute unary expreesion, input=6853, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-82315","layer":3},{"info":"number node, value=1946","layer":4},{"info":"number node, value=3715","layer":4},{"info":"compute binary expreesion, left_input=1946, right_input=3715, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-14892","layer":3},{"info":"compute binary expreesion, left_input=-82315, right_input=-14892, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":2},{"info":"compute binary expreesion, left_input=426, right_input=1500, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=2607","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2607, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉5544⪔≴∭⊉13320)≚⊃≕≴∭⊉10405≚⊃≕≴∭⊉3326⪛⫼(≴∭⊉12161*≴∭⊉3610)∠↢(→⩰≴∭⊉14013))⊕∕((⪓⩚(⊑≴∭⊉5153))⋥≓≎(⩷≴∭⊉25660)≄⊠(≴∭⊉5450⫃⨇≴∭⊉13555))=NaN","reverse_text":"NaN=((≴∭⊉5544⪔≴∭⊉13320)≚⊃≕≴∭⊉10405≚⊃≕≴∭⊉3326⪛⫼(≴∭⊉12161*≴∭⊉3610)∠↢(→⩰≴∭⊉14013))⊕∕((⪓⩚(⊑≴∭⊉5153))⋥≓≎(⩷≴∭⊉25660)≄⊠(≴∭⊉5450⫃⨇≴∭⊉13555))","cot":[{"info":"≴∭⊉5544⪔≴∭⊉13320=≴∭⊉1212","layer":3},{"info":"≴∭⊉10405≚⊃≕≴∭⊉3326=≴∭⊉124","layer":3},{"info":"≴∭⊉1212≚⊃≕≴∭⊉124=≴∭⊉124","layer":2},{"info":"≴∭⊉12161*≴∭⊉3610=≴∭⊉50636510","layer":3},{"info":"→⩰≴∭⊉14013=NaN","layer":3},{"info":"≴∭⊉50636510∠↢NaN=NaN","layer":2},{"info":"≴∭⊉124⪛⫼NaN=NaN","layer":1},{"info":"⊑≴∭⊉5153=≴∭⊉363","layer":3},{"info":"⪓⩚≴∭⊉363=≴∭⊉1146","layer":2},{"info":"⩷≴∭⊉25660=≴∭⊉-461662","layer":3},{"info":"���∭⊉5450⫃⨇≴∭⊉13555=≴∭⊉-61263","layer":3},{"info":"≴∭⊉-461662≄⊠≴∭⊉-61263=≴∭⊉4242","layer":2},{"info":"≴∭⊉1146⋥≓≎≴∭⊉4242=≴∭⊉10413","layer":1},{"info":"NaN⊕∕≴∭⊉10413=NaN","layer":0}]}
+{"id":609,"expression_no_base_symbol":"⩒∊(⊢≑≆(⩰($1282$⫚↹⊑$5491$)))","expression":"⩒∊(⊢≑≆(⩰(≴∭⊉3511⫚↹⊑≴∭⊉22003)))","highest_n_order":1,"priority_hierarchical_complexity":4,"normalized_expansion_degree":41,"operation_count":4,"complexity_ratio":10.25,"tree":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":1282,"base":7},"right_expr":{"type":"numeric_atoms","value":5491,"base":7}}}}},"used_operators":["qazvmhNBbN","27wFxooxGf","WkeUrDK8WX","dfKe02y8D2"],"dependent_operators":["AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj"],"result":"≴∭⊉5240","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1282","layer":4},{"info":"number node, value=5491","layer":4},{"info":"compute binary expreesion, left_input=1282, right_input=5491, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"compute unary expreesion, input=-447, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-553","layer":2},{"info":"compute unary expreesion, input=-553, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=1299","layer":1},{"info":"compute unary expreesion, input=1299, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=1841","layer":0}],"base":7,"result_base":7,"text":"⩒∊(⊢≑≆(⩰(≴∭⊉3511⫚↹⊑≴∭⊉22003)))=≴∭⊉5240","reverse_text":"≴∭⊉5240=⩒∊(⊢≑≆(⩰(≴∭⊉3511⫚↹⊑≴∭⊉22003)))","cot":[{"info":"≴∭⊉3511⫚↹⊑≴∭⊉22003=≴∭⊉-1206","layer":3},{"info":"⩰≴∭⊉-1206=≴∭⊉-1420","layer":2},{"info":"⊢≑≆≴∭⊉-1420=≴∭⊉3534","layer":1},{"info":"⩒∊≴∭⊉3534=≴∭⊉5240","layer":0}]}
+{"id":610,"expression_no_base_symbol":"⊖(⪲⇎$1364$)⨰($1982$-$8895$)⩵∡(≯(⊵⊁$2340$))","expression":"⊖(⪲⇎≴∭⊉3656)⨰(≴∭⊉5531-≴∭⊉34635)⩵∡(≯(⊵⊁≴∭⊉6552))","highest_n_order":2,"priority_hierarchical_complexity":7,"normalized_expansion_degree":60,"operation_count":7,"complexity_ratio":8.571428571428571,"tree":{"type":"unary","operator":"⊖","unary_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1364,"base":7}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1982,"base":7},"right_expr":{"type":"numeric_atoms","value":8895,"base":7}}},"right_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"numeric_atoms","value":2340,"base":7}}}}},"used_operators":["U6pG0PXrV3","Y7wcNGrDQJ","eewbuw0ToL","XPYlsWDdGa","rysDP5nf3Z","keWfFq85dY","AvED76WdY7"],"dependent_operators":["tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","NTOWxs364D","glklzrTFfD","tifHPKVTfV","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","g55IO6H4Gj","JLbD19bQDL","uBihLCJcMX","k8jYdgA6NY"],"result":"≴∭⊉331611","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1364","layer":4},{"info":"compute unary expreesion, input=1364, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2728","layer":3},{"info":"number node, value=1982","layer":4},{"info":"number node, value=8895","layer":4},{"info":"compute binary expreesion, left_input=1982, right_input=8895, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-6913","layer":3},{"info":"compute binary expreesion, left_input=2728, right_input=-6913, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=9651","layer":2},{"info":"number node, value=2340","layer":4},{"info":"compute unary expreesion, input=2340, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=12970","layer":3},{"info":"compute unary expreesion, input=12970, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=9651, right_input=0, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-19423","layer":1},{"info":"compute unary expreesion, input=-19423, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=58269","layer":0}],"base":7,"result_base":7,"text":"⊖(⪲⇎≴∭⊉3656)⨰(≴∭⊉5531-≴∭⊉34635)⩵∡(≯(⊵⊁≴∭⊉6552))=≴∭⊉331611","reverse_text":"≴∭⊉331611=⊖(⪲⇎≴∭⊉3656)⨰(≴∭⊉5531-≴∭⊉34635)⩵∡(≯(⊵⊁≴∭⊉6552))","cot":[{"info":"⪲⇎≴∭⊉3656=≴∭⊉10645","layer":3},{"info":"≴∭⊉5531-≴∭⊉34635=≴∭⊉-26104","layer":3},{"info":"≴∭⊉10645⨰≴∭⊉-26104=≴∭⊉40065","layer":2},{"info":"⊵⊁≴∭⊉6552=≴∭⊉52546","layer":3},{"info":"≯≴∭⊉52546=≴∭⊉0","layer":2},{"info":"≴∭⊉40065⩵∡≴∭⊉0=≴∭⊉-110425","layer":1},{"info":"⊖≴∭⊉-110425=≴∭⊉331611","layer":0}]}
+{"id":611,"expression_no_base_symbol":"(≀↧⇸(↪⫪⫘$2708$⨂≜$6035$))↫","expression":"(≀↧⇸(↪⫪⫘≴∭⊉10616⨂≜≴∭⊉23411))↫","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":2766,"operation_count":4,"complexity_ratio":691.5,"tree":{"type":"unary","operator":"↫","unary_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":2708,"base":7},"right_expr":{"type":"numeric_atoms","value":6035,"base":7}}}}},"used_operators":["uPb5QRN0te","ljTHtUsqzn","9dWsAM3GFt","k1SHOSEABc"],"dependent_operators":["i8ToyICDmI","2DQ55sFlQl","t8gj7n24qd","XPYlsWDdGa","23Mk6UjR3U","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ"],"result":"≴∭⊉316","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=2708","layer":4},{"info":"number node, value=6035","layer":4},{"info":"compute binary expreesion, left_input=2708, right_input=6035, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = uPb5QRN0te, unary_op_definition = 'a↫ = { (a∲⫓a) , if (-a)>=333 ; (a⨵⪆a) , else }', output=160","layer":0}],"base":7,"result_base":7,"text":"(≀↧⇸(↪⫪⫘≴∭⊉10616⨂≜≴∭⊉23411))↫=≴∭⊉316","reverse_text":"≴∭⊉316=(≀↧⇸(↪⫪⫘≴∭⊉10616⨂≜≴∭⊉23411))↫","cot":[{"info":"≴∭⊉10616⨂≜≴∭⊉23411=NaN","layer":3},{"info":"↪⫪⫘NaN=NaN","layer":2},{"info":"≀↧⇸NaN=NaN","layer":1},{"info":"NaN↫=≴∭⊉316","layer":0}]}
+{"id":612,"expression_no_base_symbol":"($4057$∌$1712$⋘⨑⨽)⪟⇏($5002$⊬⨰$1380$⨸⪁(⨵≀≌$7533$))⫸⊐((($1339$∷)⫃⨇(⨮↦↱$4905$))∩⋅)","expression":"(≴∭⊉14554∌≴∭⊉4664⋘⨑⨽)⪟⇏(≴∭⊉20404⊬⨰≴∭⊉4011⨸⪁(⨵≀≌≴∭⊉30651))⫸⊐(((≴∭⊉3622∷)⫃⨇(⨮↦↱≴∭⊉20205))∩⋅)","highest_n_order":2,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4545,"operation_count":11,"complexity_ratio":413.1818181818182,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"unary","operator":"⋘⨑⨽","unary_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":4057,"base":7},"right_expr":{"type":"numeric_atoms","value":1712,"base":7}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":5002,"base":7},"right_expr":{"type":"numeric_atoms","value":1380,"base":7}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":7533,"base":7}}}},"right_expr":{"type":"unary","operator":"∩⋅","unary_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"unary","operator":"∷","unary_expr":{"type":"numeric_atoms","value":1339,"base":7}},"right_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"numeric_atoms","value":4905,"base":7}}}}},"used_operators":["mqXw5SEYmG","GODebY97qR","WmT3o8z6ya","8cLx32lpNA","g55IO6H4Gj","s3Fd5m9Dh2","srAu1WTS94","2MzE1hQ0cz","09Ly4LVMIf","nFAOW8KTqp","sYcpBQ0cFf"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","W4YGzv6Whe","DpFCA1CohY","N41Kp7NANJ","8w2t5hMYqp","QMFrweE19q","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","W4YGzv6Whe","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","Qy55tPpLXF","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","D4vGDi5EA2","t8gj7n24qd","2DDjHMKMc0","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4057","layer":4},{"info":"number node, value=1712","layer":4},{"info":"compute binary expreesion, left_input=4057, right_input=1712, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-1712","layer":3},{"info":"compute unary expreesion, input=-1712, op_id = WmT3o8z6ya, unary_op_definition = 'a⋘⨑⨽ = { ((a⫡⨏a)+(a≋⫹)) , if (⊄⩳↩a)!=44 ; (⋗⩬⋾(394+a)) , else }', output=-7777","layer":2},{"info":"number node, value=5002","layer":4},{"info":"number node, value=1380","layer":4},{"info":"compute binary expreesion, left_input=5002, right_input=1380, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=9466","layer":3},{"info":"number node, value=7533","layer":4},{"info":"compute unary expreesion, input=7533, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-22599","layer":3},{"info":"compute binary expreesion, left_input=9466, right_input=-22599, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-26266","layer":2},{"info":"compute binary expreesion, left_input=-7777, right_input=-26266, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=0","layer":1},{"info":"number node, value=1339","layer":4},{"info":"compute unary expreesion, input=1339, op_id = nFAOW8KTqp, unary_op_definition = 'a∷ = { ((-(a⋝⋈⪟a))≦≮≮) }', output=4017","layer":3},{"info":"number node, value=4905","layer":4},{"info":"compute unary expreesion, input=4905, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-58430187","layer":3},{"info":"compute binary expreesion, left_input=4017, right_input=-58430187, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=233720716","layer":2},{"info":"compute unary expreesion, input=233720716, op_id = 2MzE1hQ0cz, unary_op_definition = 'a∩⋅ = { (a⋥≓≎44) }', output=-233720595","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-233720595, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=0","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉14554∌≴∭⊉4664⋘⨑⨽)⪟⇏(≴∭⊉20404⊬⨰≴∭⊉4011⨸⪁(⨵≀≌≴∭⊉30651))⫸⊐(((≴∭⊉3622∷)⫃⨇(⨮↦↱≴∭⊉20205))∩⋅)=≴∭⊉0","reverse_text":"≴∭⊉0=(≴∭⊉14554∌≴∭⊉4664⋘⨑⨽)⪟⇏(≴∭⊉20404⊬⨰≴∭⊉4011⨸⪁(⨵≀≌≴∭⊉30651))⫸⊐(((≴∭⊉3622∷)⫃⨇(⨮↦↱≴∭⊉20205))∩⋅)","cot":[{"info":"≴∭⊉14554∌≴∭⊉4664=≴∭⊉-4664","layer":3},{"info":"≴∭⊉-4664⋘⨑⨽=≴∭⊉-31450","layer":2},{"info":"≴∭⊉20404⊬⨰≴∭⊉4011=≴∭⊉36412","layer":3},{"info":"⨵≀≌≴∭⊉30651=≴∭⊉-122613","layer":3},{"info":"≴∭⊉36412⨸⪁≴∭⊉-122613=≴∭⊉-136402","layer":2},{"info":"≴∭⊉-31450⪟⇏≴∭⊉-136402=≴∭⊉0","layer":1},{"info":"≴∭⊉3622∷=≴∭⊉14466","layer":3},{"info":"⨮↦↱≴∭⊉20205=≴∭⊉-1306435254","layer":3},{"info":"≴∭⊉14466⫃⨇≴∭⊉-1306435254=≴∭⊉5535410335","layer":2},{"info":"≴∭⊉5535410335∩⋅=≴∭⊉-5535410103","layer":1},{"info":"≴∭⊉0⫸⊐≴∭⊉-5535410103=≴∭⊉0","layer":0}]}
+{"id":613,"expression_no_base_symbol":"⪝⪂⫅(((⫵↿$6068$)∠↢$3737$⩍⋽⫝̸$1083$)∠↢(⨰⫟⨤$3785$)⩖⊿(⨮↦↱$1024$))","expression":"⪝⪂⫅(((⫵↿≴∭⊉23456)∠↢≴∭⊉13616⩍⋽⫝̸≴∭⊉3105)∠↢(⨰⫟⨤≴∭⊉14015)⩖⊿(⨮↦↱≴∭⊉2662))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":14967,"operation_count":8,"complexity_ratio":1870.875,"tree":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"numeric_atoms","value":6068,"base":7}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":3737,"base":7},"right_expr":{"type":"numeric_atoms","value":1083,"base":7}}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":3785,"base":7}},"right_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"numeric_atoms","value":1024,"base":7}}}}},"used_operators":["XTarYq4gQB","KbjG8mgYpV","ivGwdmUAux","BiWNJpBvwn","RZ5CV9rWsJ","Tw270M8GLb","sYcpBQ0cFf"],"dependent_operators":["9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","Ph9nP6C5qx","xUOZtlo3hN","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6068","layer":4},{"info":"compute unary expreesion, input=6068, op_id = ivGwdmUAux, unary_op_definition = '⫵↿a = { ((a⫃⨇256)∽(a∀⇚≩66)) , if (⇨a)>=1 ; (↯⪼(a⨫⇇↔a)) , else }', output=137","layer":3},{"info":"number node, value=3737","layer":4},{"info":"number node, value=1083","layer":4},{"info":"compute binary expreesion, left_input=3737, right_input=1083, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=137","layer":3},{"info":"compute binary expreesion, left_input=137, right_input=137, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-1384","layer":2},{"info":"number node, value=3785","layer":4},{"info":"compute unary expreesion, input=3785, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=1024","layer":4},{"info":"compute unary expreesion, input=1024, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-832266","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-832266, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1384, right_input=nan, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"⪝⪂⫅(((⫵↿≴∭⊉23456)∠↢≴∭⊉13616⩍⋽⫝̸≴∭⊉3105)∠↢(⨰⫟⨤≴∭⊉14015)⩖⊿(⨮↦↱≴∭⊉2662))=NaN","reverse_text":"NaN=⪝⪂⫅(((⫵↿≴∭⊉23456)∠↢≴∭⊉13616⩍⋽⫝̸≴∭⊉3105)∠↢(⨰⫟⨤≴∭⊉14015)⩖⊿(⨮↦↱≴∭⊉2662))","cot":[{"info":"⫵↿≴∭⊉23456=≴∭⊉254","layer":3},{"info":"≴∭⊉13616⩍⋽⫝̸≴∭⊉3105=≴∭⊉254","layer":3},{"info":"≴∭⊉254∠↢≴∭⊉254=≴∭⊉-4015","layer":2},{"info":"⨰⫟⨤≴∭⊉14015=NaN","layer":3},{"info":"⨮↦↱≴∭⊉2662=≴∭⊉-10034301","layer":3},{"info":"NaN⩖⊿≴∭⊉-10034301=NaN","layer":2},{"info":"≴∭⊉-4015∠↢NaN=NaN","layer":1},{"info":"⪝⪂⫅NaN=NaN","layer":0}]}
+{"id":614,"expression_no_base_symbol":"($1369$∑⇟⊟$3009$⫌⩉⩟$2482$∠⫱$4854$)≁($1562$⇤$3079$∇⊂⋱$1297$⇻⋧≁$3230$)∋(($1576$⩵∡$5696$)∌↝($2323$⪗)∑⇟⊟($1103$⋛$1116$⫢⨠($1453$⩅⪻⪻)))","expression":"(≴∭⊉3664∑⇟⊟≴∭⊉11526⫌⩉⩟≴∭⊉10144∠⫱≴∭⊉20103)≁(≴∭⊉4361⇤≴∭⊉11656∇⊂⋱≴∭⊉3532⇻⋧≁≴∭⊉12263)∋((≴∭⊉4411⩵∡≴∭⊉22415)∌↝(≴∭⊉6526⪗)∑⇟⊟(≴∭⊉3134⋛≴∭⊉3153⫢⨠(≴∭⊉4144⩅⪻⪻)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":12026,"operation_count":15,"complexity_ratio":801.7333333333333,"tree":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1369,"base":7},"right_expr":{"type":"numeric_atoms","value":3009,"base":7}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":2482,"base":7},"right_expr":{"type":"numeric_atoms","value":4854,"base":7}}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":1562,"base":7},"right_expr":{"type":"numeric_atoms","value":3079,"base":7}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":1297,"base":7},"right_expr":{"type":"numeric_atoms","value":3230,"base":7}}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":1576,"base":7},"right_expr":{"type":"numeric_atoms","value":5696,"base":7}},"right_expr":{"type":"unary","operator":"⪗","unary_expr":{"type":"numeric_atoms","value":2323,"base":7}}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":1103,"base":7},"right_expr":{"type":"numeric_atoms","value":1116,"base":7}},"right_expr":{"type":"unary","operator":"⩅⪻⪻","unary_expr":{"type":"numeric_atoms","value":1453,"base":7}}}}},"used_operators":["ukq6epAj5P","8N2wDY1A35","XIIwhv8d0m","U7g4x0WXJJ","QvoQhV0rrE","nhYeJWJD5X","YSKBFp38Pu","jCPkEVoL5K","9Isq31Ruls","Y7wcNGrDQJ","VEQNXA0ZBg","xlXykHWxX1","YbUVn0Rbpy","kHoXpA7yos"],"dependent_operators":["SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","NTOWxs364D","glklzrTFfD","tifHPKVTfV","dWAJyo7jo9","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","SUmda5xLS4","KPf6cnQVty","8HhzD0ZcuI","9Isq31Ruls"],"result":"≴∭⊉-513344","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1369","layer":4},{"info":"number node, value=3009","layer":4},{"info":"compute binary expreesion, left_input=1369, right_input=3009, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=2482","layer":4},{"info":"number node, value=4854","layer":4},{"info":"compute binary expreesion, left_input=2482, right_input=4854, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1234, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":2},{"info":"number node, value=1562","layer":4},{"info":"number node, value=3079","layer":4},{"info":"compute binary expreesion, left_input=1562, right_input=3079, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-20357","layer":3},{"info":"number node, value=1297","layer":4},{"info":"number node, value=3230","layer":4},{"info":"compute binary expreesion, left_input=1297, right_input=3230, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=-20357, right_input=-447, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=894","layer":2},{"info":"compute binary expreesion, left_input=-50, right_input=894, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=8255","layer":1},{"info":"number node, value=1576","layer":4},{"info":"number node, value=5696","layer":4},{"info":"compute binary expreesion, left_input=1576, right_input=5696, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=2423","layer":3},{"info":"number node, value=2323","layer":4},{"info":"compute unary expreesion, input=2323, op_id = VEQNXA0ZBg, unary_op_definition = 'a⪗ = { (a⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2423, right_input=nan, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=4846","layer":2},{"info":"number node, value=1103","layer":4},{"info":"number node, value=1116","layer":4},{"info":"compute binary expreesion, left_input=1103, right_input=1116, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-122265","layer":3},{"info":"number node, value=1453","layer":4},{"info":"compute unary expreesion, input=1453, op_id = kHoXpA7yos, unary_op_definition = 'a⩅⪻⪻ = { (a⪄((a∌↝a)⨽(a∺≝⩲a))) }', output=-214469","layer":3},{"info":"compute binary expreesion, left_input=-122265, right_input=-214469, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)���≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=2692602","layer":2},{"info":"compute binary expreesion, left_input=4846, right_input=2692602, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=8255, right_input=nan, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=-87644","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉3664∑⇟⊟≴∭⊉11526⫌⩉⩟≴∭⊉10144∠⫱≴∭⊉20103)≁(≴∭⊉4361⇤≴∭⊉11656∇⊂⋱≴∭⊉3532⇻⋧≁≴∭⊉12263)∋((≴∭⊉4411⩵∡≴∭⊉22415)∌↝(≴∭⊉6526⪗)∑⇟⊟(≴∭⊉3134⋛≴∭⊉3153⫢⨠(≴∭⊉4144⩅⪻⪻)))=≴∭⊉-513344","reverse_text":"≴∭⊉-513344=(≴∭⊉3664∑⇟⊟≴∭⊉11526⫌⩉⩟≴∭⊉10144∠⫱≴∭⊉20103)≁(≴∭⊉4361⇤≴∭⊉11656∇⊂⋱≴∭⊉3532⇻⋧≁≴∭⊉12263)∋((≴∭⊉4411⩵∡≴∭⊉22415)∌↝(≴∭⊉6526⪗)∑⇟⊟(≴∭⊉3134⋛≴∭⊉3153⫢⨠(≴∭⊉4144⩅⪻⪻)))","cot":[{"info":"≴∭⊉3664∑⇟⊟≴∭⊉11526=NaN","layer":3},{"info":"≴∭⊉10144∠⫱≴∭⊉20103=≴∭⊉3412","layer":3},{"info":"NaN⫌⩉⩟≴∭⊉3412=≴∭⊉-101","layer":2},{"info":"≴∭⊉4361⇤≴∭⊉11656=≴∭⊉-113231","layer":3},{"info":"≴∭⊉3532⇻⋧≁≴∭⊉12263=≴∭⊉-1206","layer":3},{"info":"≴∭⊉-113231∇⊂⋱≴∭⊉-1206=≴∭⊉2415","layer":2},{"info":"≴∭⊉-101≁≴∭⊉2415=≴∭⊉33032","layer":1},{"info":"≴∭⊉4411⩵∡≴∭⊉22415=≴∭⊉10031","layer":3},{"info":"≴∭⊉6526⪗=NaN","layer":3},{"info":"≴∭⊉10031∌↝NaN=≴∭⊉20062","layer":2},{"info":"≴∭⊉3134⋛≴∭⊉3153=≴∭⊉-1016313","layer":3},{"info":"≴∭⊉4144⩅⪻⪻=≴∭⊉-1552163","layer":3},{"info":"≴∭⊉-1016313⫢⨠≴∭⊉-1552163=≴∭⊉31613103","layer":2},{"info":"≴∭⊉20062∑⇟⊟≴∭⊉31613103=NaN","layer":1},{"info":"≴∭⊉33032∋NaN=≴∭⊉-513344","layer":0}]}
+{"id":615,"expression_no_base_symbol":"≱⇩⩕(($6070$∠⫱$1175$)≭($5072$+⇶⊼$1012$))↤⩊(⨵($1035$⨿$2108$))","expression":"≱⇩⩕((≴∭⊉23461∠⫱≴∭⊉3266)≭(≴∭⊉20534+⇶⊼≴∭⊉2644))↤⩊(⨵(≴∭⊉3006⨿≴∭⊉6101))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":498,"operation_count":7,"complexity_ratio":71.14285714285714,"tree":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":6070,"base":7},"right_expr":{"type":"numeric_atoms","value":1175,"base":7}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":5072,"base":7},"right_expr":{"type":"numeric_atoms","value":1012,"base":7}}},"right_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":1035,"base":7},"right_expr":{"type":"numeric_atoms","value":2108,"base":7}}}}},"used_operators":["3DZMoQKiUl","13rbtpv6ld","rxpJgHHUmx","QvoQhV0rrE","TpPTUOHfaN","Tl3Y52tvF8","abYXlopdE0"],"dependent_operators":["AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","AHs5Up7iyr","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","AHs5Up7iyr","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6070","layer":4},{"info":"number node, value=1175","layer":4},{"info":"compute binary expreesion, left_input=6070, right_input=1175, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"number node, value=5072","layer":4},{"info":"number node, value=1012","layer":4},{"info":"compute binary expreesion, left_input=5072, right_input=1012, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=nan, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=1035","layer":4},{"info":"number node, value=2108","layer":4},{"info":"compute binary expreesion, left_input=1035, right_input=2108, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"compute unary expreesion, input=-319, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=10511","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=10511, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"≱⇩⩕((≴∭⊉23461∠⫱≴∭⊉3266)≭(≴∭⊉20534+⇶⊼≴∭⊉2644))↤⩊(⨵(≴∭⊉3006⨿≴∭⊉6101))=NaN","reverse_text":"NaN=≱⇩⩕((≴∭⊉23461∠⫱≴∭⊉3266)≭(≴∭⊉20534+⇶⊼≴∭⊉2644))↤⩊(⨵(≴∭⊉3006⨿≴∭⊉6101))","cot":[{"info":"≴∭⊉23461∠⫱≴∭⊉3266=≴∭⊉3412","layer":3},{"info":"≴∭⊉20534+⇶⊼≴∭⊉2644=NaN","layer":3},{"info":"≴∭⊉3412≭NaN=NaN","layer":2},{"info":"≴∭⊉3006⨿≴∭⊉6101=≴∭⊉-634","layer":3},{"info":"⨵≴∭⊉-634=≴∭⊉42434","layer":2},{"info":"NaN↤⩊≴∭⊉42434=NaN","layer":1},{"info":"≱⇩⩕NaN=NaN","layer":0}]}
+{"id":616,"expression_no_base_symbol":"⊙↵-((($3307$⊉≛↸$3923$)⇴∐($8276$≚⋢))⪚⩙≫)","expression":"⊙↵-(((≴∭⊉12433⊉≛↸≴∭⊉14303)⇴∐(≴∭⊉33062≚⋢))⪚⩙≫)","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":8084,"operation_count":5,"complexity_ratio":1616.8,"tree":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"unary","operator":"⪚⩙≫","unary_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":3307,"base":7},"right_expr":{"type":"numeric_atoms","value":3923,"base":7}},"right_expr":{"type":"unary","operator":"≚⋢","unary_expr":{"type":"numeric_atoms","value":8276,"base":7}}}}},"used_operators":["oWn0xqSxBt","4n53wtyJvv","HnzytWxmAO","DZ8iAZOCBD","MahUMFw56D"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","Uaa54Peajs","nCS4ZIUYfx","WR6HLWljOP","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=3307","layer":4},{"info":"number node, value=3923","layer":4},{"info":"compute binary expreesion, left_input=3307, right_input=3923, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=6614","layer":3},{"info":"number node, value=8276","layer":4},{"info":"compute unary expreesion, input=8276, op_id = MahUMFw56D, unary_op_definition = 'a≚⋢ = { (a⨓86) }', output=-89","layer":3},{"info":"compute binary expreesion, left_input=6614, right_input=-89, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 4n53wtyJvv, unary_op_definition = 'a⪚⩙≫ = { ((316↢a)⨳⩥⨓(∂255)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"⊙↵-(((≴∭⊉12433⊉≛↸≴∭⊉14303)⇴∐(≴∭⊉33062≚⋢))⪚⩙≫)=NaN","reverse_text":"NaN=⊙↵-(((≴∭⊉12433⊉≛↸≴∭⊉14303)⇴∐(≴∭⊉33062≚⋢))⪚⩙≫)","cot":[{"info":"≴∭⊉12433⊉≛↸≴∭⊉14303=≴∭⊉25166","layer":3},{"info":"≴∭⊉33062≚⋢=≴∭⊉-155","layer":3},{"info":"≴∭⊉25166⇴∐≴∭⊉-155=NaN","layer":2},{"info":"NaN⪚⩙≫=NaN","layer":1},{"info":"⊙↵-NaN=NaN","layer":0}]}
+{"id":617,"expression_no_base_symbol":"(⊗$2072$)≚⊃≕(≪$1129$)⫒⫫(⨞⊢$1019$)∋($3293$⊉↱≁$5864$)⪔(($6931$≨$1281$)∋(⫇$6644$))≁↽≥(($4069$≝⊰⇂)⨳⩥⨓($2682$≫≃))","expression":"(⊗≴∭⊉6020)≚⊃≕(≪≴∭⊉3202)⫒⫫(⨞⊢≴∭⊉2654)∋(≴∭⊉12413⊉↱≁≴∭⊉23045)⪔((≴∭⊉26131≨≴∭⊉3510)∋(⫇≴∭⊉25241))≁↽≥((≴∭⊉14602≝⊰⇂)⨳⩥⨓(≴∭⊉10551≫≃))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":1990,"operation_count":15,"complexity_ratio":132.66666666666666,"tree":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"numeric_atoms","value":2072,"base":7}},"right_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"numeric_atoms","value":1129,"base":7}}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1019,"base":7}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":3293,"base":7},"right_expr":{"type":"numeric_atoms","value":5864,"base":7}}}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":6931,"base":7},"right_expr":{"type":"numeric_atoms","value":1281,"base":7}},"right_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"numeric_atoms","value":6644,"base":7}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"≝⊰⇂","unary_expr":{"type":"numeric_atoms","value":4069,"base":7}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":2682,"base":7}}}}},"used_operators":["GjBEYRfMaF","6Ko8hGgeMq","Bmrmz2XGnR","RhiyfpczSx","Qtd6bqUJcN","ukq6epAj5P","xUOZtlo3hN","w2P8NbNXyL","ncHt1X6cMc","0KMCeP1Jsh","YjI8oCXuph","nCS4ZIUYfx","htSmYCowi5","X99M06cbEe"],"dependent_operators":["YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","oWn0xqSxBt","3Oe9XWJUTD","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","W4YGzv6Whe","rysDP5nf3Z","9FxExcQeMw","DlLNRPXxWL","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A"],"result":"≴∭⊉1212","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2072","layer":4},{"info":"compute unary expreesion, input=2072, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-4144","layer":3},{"info":"number node, value=1129","layer":4},{"info":"compute unary expreesion, input=1129, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":3},{"info":"compute binary expreesion, left_input=-4144, right_input=913, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=-14916","layer":2},{"info":"number node, value=1019","layer":4},{"info":"compute unary expreesion, input=1019, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1193","layer":3},{"info":"number node, value=3293","layer":4},{"info":"number node, value=5864","layer":4},{"info":"compute binary expreesion, left_input=3293, right_input=5864, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-3368","layer":3},{"info":"compute binary expreesion, left_input=-1193, right_input=-3368, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=-49852","layer":2},{"info":"compute binary expreesion, left_input=-14916, right_input=-49852, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=174320","layer":1},{"info":"number node, value=6931","layer":4},{"info":"number node, value=1281","layer":4},{"info":"compute binary expreesion, left_input=6931, right_input=1281, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-66834","layer":3},{"info":"number node, value=6644","layer":4},{"info":"compute unary expreesion, input=6644, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-12074","layer":3},{"info":"compute binary expreesion, left_input=-66834, right_input=-12074, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=212712","layer":2},{"info":"number node, value=4069","layer":4},{"info":"compute unary expreesion, input=4069, op_id = htSmYCowi5, unary_op_definition = 'a≝⊰⇂ = { (a⩷∴51) , if a<491 ; (⫛⫱⨽a) , else }', output=0","layer":3},{"info":"number node, value=2682","layer":4},{"info":"compute unary expreesion, input=2682, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=6765","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=6765, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=6765","layer":2},{"info":"compute binary expreesion, left_input=212712, right_input=6765, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=2761570","layer":1},{"info":"compute binary expreesion, left_input=174320, right_input=2761570, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":0}],"base":7,"result_base":7,"text":"(⊗≴∭⊉6020)≚⊃≕(≪≴∭⊉3202)⫒⫫(⨞⊢≴∭⊉2654)∋(≴∭⊉12413⊉↱≁≴∭⊉23045)⪔((≴∭⊉26131≨≴∭⊉3510)∋(⫇≴∭⊉25241))≁↽≥((≴∭⊉14602≝⊰⇂)⨳⩥⨓(≴∭⊉10551≫≃))=≴∭⊉1212","reverse_text":"≴∭⊉1212=(⊗≴∭⊉6020)≚⊃≕(≪≴∭⊉3202)⫒⫫(⨞⊢≴∭⊉2654)∋(≴∭⊉12413⊉↱≁≴∭⊉23045)⪔((≴∭⊉26131≨≴∭⊉3510)∋(⫇≴∭⊉25241))≁↽≥((≴∭⊉14602≝⊰⇂)⨳⩥⨓(≴∭⊉10551≫≃))","cot":[{"info":"⊗≴∭⊉6020=≴∭⊉-15040","layer":3},{"info":"≪≴∭⊉3202=≴∭⊉2443","layer":3},{"info":"≴∭⊉-15040≚⊃≕≴∭⊉2443=≴∭⊉-61326","layer":2},{"info":"⨞⊢≴∭⊉2654=≴∭⊉-3323","layer":3},{"info":"≴∭⊉12413⊉↱≁≴∭⊉23045=≴∭⊉-12551","layer":3},{"info":"≴∭⊉-3323∋≴∭⊉-12551=≴∭⊉-265225","layer":2},{"info":"≴∭⊉-61326⫒⫫≴∭⊉-265225=≴∭⊉1324136","layer":1},{"info":"≴∭⊉26131≨≴∭⊉3510=≴∭⊉-365565","layer":3},{"info":"⫇≴∭⊉25241=≴∭⊉-50126","layer":3},{"info":"≴∭⊉-365565∋≴∭⊉-50126=≴∭⊉1544103","layer":2},{"info":"≴∭⊉14602≝⊰⇂=≴∭⊉0","layer":3},{"info":"≴∭⊉10551≫≃=≴∭⊉25503","layer":3},{"info":"≴∭⊉0⨳⩥⨓≴∭⊉25503=≴∭⊉25503","layer":2},{"info":"≴∭⊉1544103≁↽≥≴∭⊉25503=≴∭⊉32321140","layer":1},{"info":"≴∭⊉1324136⪔≴∭⊉32321140=≴∭⊉1212","layer":0}]}
+{"id":618,"expression_no_base_symbol":"($2992$⨒$4670$)↢(↽≂$8495$)⪭((∤$3346$)⫲≸⪮(↣≠⋷$1078$))⨎((≻⋜$4801$)⨰(∷≠$3501$))≚⊃≕($2364$⪥$3201$⫸⊐(⨛$2835$))","expression":"(≴∭⊉11503⨒≴∭⊉16421)↢(↽≂≴∭⊉33524)⪭((∤≴∭⊉12520)⫲≸⪮(↣≠⋷≴∭⊉3100))⨎((≻⋜≴∭⊉16666)⨰(∷≠≴∭⊉13131))≚⊃≕(≴∭⊉6615⪥≴∭⊉12222⫸⊐(⨛≴∭⊉11160))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":29341,"operation_count":15,"complexity_ratio":1956.0666666666666,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":2992,"base":7},"right_expr":{"type":"numeric_atoms","value":4670,"base":7}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":8495,"base":7}}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"numeric_atoms","value":3346,"base":7}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1078,"base":7}}}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"numeric_atoms","value":4801,"base":7}},"right_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"numeric_atoms","value":3501,"base":7}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":2364,"base":7},"right_expr":{"type":"numeric_atoms","value":3201,"base":7}},"right_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"numeric_atoms","value":2835,"base":7}}}}},"used_operators":["rJVOvQCfKK","j9kHMeSvPp","WR6HLWljOP","y75s1iXyHd","u6S6b8DprG","P3lXMJvFrc","k2HlF1dBQh","Asc51vEJeQ","Bmrmz2XGnR","eewbuw0ToL","3tj9sqzovi","QiR2Oyf5Xj","mqXw5SEYmG","QbnwKVWMIQ","CoMdbyAt7R"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","COABgblf1C","xUOZtlo3hN","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","XhwjNDsVaA","AHs5Up7iyr","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","7j4O788W3g","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2992","layer":4},{"info":"number node, value=4670","layer":4},{"info":"compute binary expreesion, left_input=2992, right_input=4670, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-17580","layer":3},{"info":"number node, value=8495","layer":4},{"info":"compute unary expreesion, input=8495, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-16990","layer":3},{"info":"compute binary expreesion, left_input=-17580, right_input=-16990, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=-69140","layer":2},{"info":"number node, value=3346","layer":4},{"info":"compute unary expreesion, input=3346, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":3},{"info":"number node, value=1078","layer":4},{"info":"compute unary expreesion, input=1078, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=9, right_input=nan, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=9","layer":2},{"info":"compute binary expreesion, left_input=-69140, right_input=9, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=68966","layer":1},{"info":"number node, value=4801","layer":4},{"info":"compute unary expreesion, input=4801, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":3},{"info":"number node, value=3501","layer":4},{"info":"compute unary expreesion, input=3501, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=3501","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3501, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"number node, value=2364","layer":4},{"info":"number node, value=3201","layer":4},{"info":"compute binary expreesion, left_input=2364, right_input=3201, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=14108","layer":3},{"info":"number node, value=2835","layer":4},{"info":"compute unary expreesion, input=2835, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=14108, right_input=nan, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=68966, right_input=nan, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉11503⨒≴∭⊉16421)↢(↽≂≴∭⊉33524)⪭((∤≴∭⊉12520)⫲≸⪮(↣≠⋷≴∭⊉3100))⨎((≻⋜≴∭⊉16666)⨰(∷≠≴∭⊉13131))≚⊃≕(≴∭⊉6615⪥≴∭⊉12222⫸⊐(⨛≴∭⊉11160))=NaN","reverse_text":"NaN=(≴∭⊉11503⨒≴∭⊉16421)↢(↽≂≴∭⊉33524)⪭((∤≴∭⊉12520)⫲≸⪮(↣≠⋷≴∭⊉3100))⨎((≻⋜≴∭⊉16666)⨰(∷≠≴∭⊉13131))≚⊃≕(≴∭⊉6615⪥≴∭⊉12222⫸⊐(⨛≴∭⊉11160))","cot":[{"info":"≴∭⊉11503⨒≴∭⊉16421=≴∭⊉-102153","layer":3},{"info":"↽≂≴∭⊉33524=≴∭⊉-100351","layer":3},{"info":"≴∭⊉-102153↢≴∭⊉-100351=≴∭⊉-405401","layer":2},{"info":"∤≴∭⊉12520=≴∭⊉12","layer":3},{"info":"↣≠⋷≴∭⊉3100=NaN","layer":3},{"info":"≴∭⊉12⫲≸⪮NaN=≴∭⊉12","layer":2},{"info":"≴∭⊉-405401⪭≴∭⊉12=≴∭⊉405032","layer":1},{"info":"≻⋜≴∭⊉16666=NaN","layer":3},{"info":"∷≠≴∭⊉13131=≴∭⊉13131","layer":3},{"info":"NaN⨰≴∭⊉13131=NaN","layer":2},{"info":"≴∭⊉6615⪥≴∭⊉12222=≴∭⊉56063","layer":3},{"info":"⨛≴∭⊉11160=NaN","layer":3},{"info":"≴∭⊉56063⫸⊐NaN=NaN","layer":2},{"info":"NaN≚⊃≕NaN=NaN","layer":1},{"info":"≴∭⊉405032⨎NaN=NaN","layer":0}]}
+{"id":619,"expression_no_base_symbol":"((↸⊣$2187$)≥⨤⩑$1286$⪶≀⋏$2413$⫸⇳(⇾⩊⇾($4696$⫁⪎$5410$)))⩅⪻⪻","expression":"((↸⊣≴∭⊉6243)≥⨤⩑≴∭⊉3515⪶≀⋏≴∭⊉10015⫸⇳(⇾⩊⇾(≴∭⊉16456⫁⪎≴∭⊉21526)))⩅⪻⪻","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":124963,"operation_count":7,"complexity_ratio":17851.85714285714,"tree":{"type":"unary","operator":"⩅⪻⪻","unary_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"≥��⩑","left_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"numeric_atoms","value":2187,"base":7}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":1286,"base":7},"right_expr":{"type":"numeric_atoms","value":2413,"base":7}}},"right_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":4696,"base":7},"right_expr":{"type":"numeric_atoms","value":5410,"base":7}}}}},"used_operators":["kHoXpA7yos","gx7XJ7hdpj","gJLn6v0xnP","wztAlM01eG","zR4jO40bMj","bx9Z9DAK5y","xRrnTEsQ6j"],"dependent_operators":["SUmda5xLS4","KPf6cnQVty","8HhzD0ZcuI","9Isq31Ruls","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI"],"result":"≴∭⊉14413","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2187","layer":4},{"info":"compute unary expreesion, input=2187, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-1900","layer":3},{"info":"number node, value=1286","layer":4},{"info":"number node, value=2413","layer":4},{"info":"compute binary expreesion, left_input=1286, right_input=2413, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-8916","layer":3},{"info":"compute binary expreesion, left_input=-1900, right_input=-8916, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=nan","layer":2},{"info":"number node, value=4696","layer":4},{"info":"number node, value=5410","layer":4},{"info":"compute binary expreesion, left_input=4696, right_input=5410, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-714","layer":3},{"info":"compute unary expreesion, input=-714, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-60","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-60, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = kHoXpA7yos, unary_op_definition = 'a⩅⪻⪻ = { (a⪄((a∌↝a)⨽(a∺≝⩲a))) }', output=3979","layer":0}],"base":7,"result_base":7,"text":"((↸⊣≴∭⊉6243)≥⨤⩑≴∭⊉3515⪶≀⋏≴∭⊉10015⫸⇳(⇾⩊⇾(≴∭⊉16456⫁⪎≴∭⊉21526)))⩅⪻⪻=≴∭⊉14413","reverse_text":"≴∭⊉14413=((↸⊣≴∭⊉6243)≥⨤⩑≴∭⊉3515⪶≀⋏≴∭⊉10015⫸⇳(⇾⩊⇾(≴∭⊉16456⫁⪎≴∭⊉21526)))⩅⪻⪻","cot":[{"info":"↸⊣≴∭⊉6243=≴∭⊉-5353","layer":3},{"info":"≴∭⊉3515⪶≀⋏≴∭⊉10015=≴∭⊉-34665","layer":3},{"info":"≴∭⊉-5353≥⨤⩑≴∭⊉-34665=NaN","layer":2},{"info":"≴∭⊉16456⫁⪎≴∭⊉21526=≴∭⊉-2040","layer":3},{"info":"⇾⩊⇾≴∭⊉-2040=≴∭⊉-114","layer":2},{"info":"NaN⫸⇳≴∭⊉-114=NaN","layer":1},{"info":"NaN⩅⪻⪻=≴∭⊉14413","layer":0}]}
+{"id":620,"expression_no_base_symbol":"↣≠⋷((↨⩢⫨(⇘$8285$))∕⩚(⫎≠⋺$1773$)⨳⩥⨓$2303$∼$2937$)","expression":"↣≠⋷((↨⩢⫨(⇘≴∭⊉33104))∕⩚(⫎≠⋺≴∭⊉5112)⨳⩥⨓≴∭⊉6500∼≴∭⊉11364)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":253936,"operation_count":7,"complexity_ratio":36276.57142857143,"tree":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"numeric_atoms","value":8285,"base":7}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"numeric_atoms","value":1773,"base":7}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2303,"base":7},"right_expr":{"type":"numeric_atoms","value":2937,"base":7}}}}},"used_operators":["Asc51vEJeQ","z9ffQ9n5Zr","Z5CJsN7DuW","MGuIdZPyUC","nCS4ZIUYfx","LYeZOJ0nQG","DyGG3AbaNP"],"dependent_operators":["XhwjNDsVaA","AHs5Up7iyr","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","W4YGzv6Whe","rysDP5nf3Z","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=8285","layer":4},{"info":"compute unary expreesion, input=8285, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=491482","layer":3},{"info":"compute unary expreesion, input=491482, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":2},{"info":"number node, value=1773","layer":4},{"info":"compute unary expreesion, input=1773, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=0","layer":3},{"info":"number node, value=2303","layer":4},{"info":"number node, value=2937","layer":4},{"info":"compute binary expreesion, left_input=2303, right_input=2937, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":1},{"info":"compute unary expreesion, input=-487, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"↣≠⋷((↨⩢⫨(⇘≴∭⊉33104))∕⩚(⫎≠⋺≴∭⊉5112)⨳⩥⨓≴∭⊉6500∼≴∭⊉11364)=NaN","reverse_text":"NaN=↣≠⋷((↨⩢⫨(⇘≴∭⊉33104))∕⩚(⫎≠⋺≴∭⊉5112)⨳⩥⨓≴∭⊉6500∼≴∭⊉11364)","cot":[{"info":"⇘≴∭⊉33104=≴∭⊉4114615","layer":3},{"info":"↨⩢⫨≴∭⊉4114615=≴∭⊉0","layer":2},{"info":"⫎≠⋺≴∭⊉5112=≴∭⊉0","layer":3},{"info":"≴∭⊉6500∼≴∭⊉11364=NaN","layer":3},{"info":"≴∭⊉0⨳⩥⨓NaN=NaN","layer":2},{"info":"≴∭⊉0∕⩚NaN=≴∭⊉-1264","layer":1},{"info":"↣≠⋷≴∭⊉-1264=NaN","layer":0}]}
+{"id":621,"expression_no_base_symbol":"($5105$⇷$1225$)⊬⨰($1089$⨚⇆$1677$)∣($4967$⇣⩺⋵$4186$⪒$5691$⋹⋡⊁$2737$)⪭≯(⪹$4503$)⊱⇼⊻(⨭⩧⫛$2148$)≄⊠($7752$∛$1350$)⨔⇊(∑⇻≧$2591$)","expression":"(≴∭⊉20612⇷≴∭⊉3400)⊬⨰(≴∭⊉3114⨚⇆≴∭⊉4614)∣(≴∭⊉20324⇣⩺⋵≴∭⊉15130⪒≴∭⊉22410⋹⋡⊁≴∭⊉10660)⪭≯(⪹≴∭⊉16062)⊱⇼⊻(⨭⩧⫛≴∭⊉6156)≄⊠(≴∭⊉31413∛≴∭⊉3636)⨔⇊(∑⇻≧≴∭⊉10361)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":142153,"operation_count":15,"complexity_ratio":9476.866666666667,"tree":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":5105,"base":7},"right_expr":{"type":"numeric_atoms","value":1225,"base":7}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":1089,"base":7},"right_expr":{"type":"numeric_atoms","value":1677,"base":7}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":4967,"base":7},"right_expr":{"type":"numeric_atoms","value":4186,"base":7}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":5691,"base":7},"right_expr":{"type":"numeric_atoms","value":2737,"base":7}}}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":4503,"base":7}},"right_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"numeric_atoms","value":2148,"base":7}}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":7752,"base":7},"right_expr":{"type":"numeric_atoms","value":1350,"base":7}},"right_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"numeric_atoms","value":2591,"base":7}}}}},"used_operators":["XAx5wpdLa6","PPChnnnBFF","s3Fd5m9Dh2","mp7IySMOzn","lwHaAYXP2r","f6k1SAg4EE","F4yD0voBRQ","As8RqfVLgs","vXNesLlMH1","FyVja0WsTP","USyYr0JgAa","g21JL6JxX7","JclMnS0uGI","w2537kitQq","l1M9WJ3V7u"],"dependent_operators":["9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","tifHPKVTfV","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5105","layer":4},{"info":"number node, value=1225","layer":4},{"info":"compute binary expreesion, left_input=5105, right_input=1225, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2450","layer":3},{"info":"number node, value=1089","layer":4},{"info":"number node, value=1677","layer":4},{"info":"compute binary expreesion, left_input=1089, right_input=1677, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2450, right_input=nan, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=nan","layer":2},{"info":"number node, value=4967","layer":4},{"info":"number node, value=4186","layer":4},{"info":"compute binary expreesion, left_input=4967, right_input=4186, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"number node, value=5691","layer":4},{"info":"number node, value=2737","layer":4},{"info":"compute binary expreesion, left_input=5691, right_input=2737, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=3487","layer":3},{"info":"compute binary expreesion, left_input=-260, right_input=3487, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3227","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-3227, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=nan","layer":1},{"info":"number node, value=4503","layer":4},{"info":"compute unary expreesion, input=4503, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=-4323","layer":3},{"info":"number node, value=2148","layer":4},{"info":"compute unary expreesion, input=2148, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-4323, right_input=nan, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=17496","layer":2},{"info":"number node, value=7752","layer":4},{"info":"number node, value=1350","layer":4},{"info":"compute binary expreesion, left_input=7752, right_input=1350, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":3},{"info":"number node, value=2591","layer":4},{"info":"compute unary expreesion, input=2591, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=-852, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=17496, right_input=67, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1500, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉20612⇷≴∭⊉3400)⊬⨰(≴∭⊉3114⨚⇆≴∭⊉4614)∣(≴∭⊉20324⇣⩺⋵≴∭⊉15130⪒≴∭⊉22410⋹⋡⊁≴∭⊉10660)⪭≯(⪹≴∭⊉16062)⊱⇼⊻(⨭⩧⫛≴∭⊉6156)≄⊠(≴∭⊉31413∛≴∭⊉3636)⨔⇊(∑⇻≧≴∭⊉10361)=NaN","reverse_text":"NaN=(≴∭⊉20612⇷≴∭⊉3400)⊬⨰(≴∭⊉3114⨚⇆≴∭⊉4614)∣(≴∭⊉20324⇣⩺⋵≴∭⊉15130⪒≴∭⊉22410⋹⋡⊁≴∭⊉10660)⪭≯(⪹≴∭⊉16062)⊱⇼⊻(⨭⩧⫛≴∭⊉6156)≄⊠(≴∭⊉31413∛≴∭⊉3636)⨔⇊(∑⇻≧≴∭⊉10361)","cot":[{"info":"≴∭⊉20612⇷≴∭⊉3400=≴∭⊉10100","layer":3},{"info":"≴∭⊉3114⨚⇆≴∭⊉4614=NaN","layer":3},{"info":"≴∭⊉10100⊬⨰NaN=NaN","layer":2},{"info":"≴∭⊉20324⇣⩺⋵≴∭⊉15130=≴∭⊉-521","layer":3},{"info":"≴∭⊉22410⋹⋡⊁≴∭⊉10660=≴∭⊉13111","layer":3},{"info":"≴∭⊉-521⪒≴∭⊉13111=≴∭⊉-12260","layer":2},{"info":"NaN∣≴∭⊉-12260=NaN","layer":1},{"info":"⪹≴∭⊉16062=≴∭⊉-15414","layer":3},{"info":"⨭⩧⫛≴∭⊉6156=NaN","layer":3},{"info":"≴∭⊉-15414⊱⇼⊻NaN=≴∭⊉102003","layer":2},{"info":"≴∭⊉31413∛≴∭⊉3636=≴∭⊉124","layer":3},{"info":"∑⇻≧≴∭⊉10361=≴∭⊉-2325","layer":3},{"info":"≴∭⊉124⨔⇊≴∭⊉-2325=≴∭⊉124","layer":2},{"info":"≴∭⊉102003≄⊠≴∭⊉124=≴∭⊉4242","layer":1},{"info":"NaN⪭≯≴∭⊉4242=NaN","layer":0}]}
+{"id":622,"expression_no_base_symbol":"(⫛⫱⨽(⪨⨬$5081$))⪝($6160$+⪬∐$1931$≹⇙⪍$1512$⩁⩘$5656$)≥⨤⩑($4988$↳≱$2667$⨻⩈⩔($1012$⫚↹⊑$2073$))∥⊢⊲(($1899$⇚⪠)⩚⊴⇥($1397$⩚⊴⇥$2779$))","expression":"(⫛⫱⨽(⪨⨬≴∭⊉20546))⪝(≴∭⊉23650+⪬∐≴∭⊉5426≹⇙⪍≴∭⊉4260⩁⩘≴∭⊉22330)≥⨤⩑(≴∭⊉20354↳≱≴∭⊉10530⨻⩈⩔(≴∭⊉2644⫚↹⊑≴∭⊉6021))∥⊢⊲((≴∭⊉5352⇚⪠)⩚⊴⇥(≴∭⊉4034⩚⊴⇥≴∭⊉11050))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":3991,"operation_count":14,"complexity_ratio":285.07142857142856,"tree":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"numeric_atoms","value":5081,"base":7}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":6160,"base":7},"right_expr":{"type":"numeric_atoms","value":1931,"base":7}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":1512,"base":7},"right_expr":{"type":"numeric_atoms","value":5656,"base":7}}}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":4988,"base":7},"right_expr":{"type":"numeric_atoms","value":2667,"base":7}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":1012,"base":7},"right_expr":{"type":"numeric_atoms","value":2073,"base":7}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⇚⪠","unary_expr":{"type":"numeric_atoms","value":1899,"base":7}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1397,"base":7},"right_expr":{"type":"numeric_atoms","value":2779,"base":7}}}}},"used_operators":["gJLn6v0xnP","wicAB68Tmb","DlLNRPXxWL","5obUd6DV38","AHs5Up7iyr","2GS7woTJqF","gub5Cegaqo","v1UQAVDJRr","nEsXyWgiOK","JwTKLfZU96","dfKe02y8D2","NTOWxs364D","Loh9y4A90B"],"dependent_operators":["mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","rGHVDoGpnC","T2fj7uvVaJ","nlCqmYiOvY","dWAJyo7jo9","g55IO6H4Gj","D4vGDi5EA2","DpFCA1CohY","IWmyXbctLI","EBcxylXtPf","rGHVDoGpnC","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","Z5m6OM72h2","9HNa5Wba9A","ztP7wcbY7m"],"result":"≴∭⊉3412","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5081","layer":4},{"info":"compute unary expreesion, input=5081, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":3},{"info":"compute unary expreesion, input=-526, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"number node, value=6160","layer":4},{"info":"number node, value=1931","layer":4},{"info":"compute binary expreesion, left_input=6160, right_input=1931, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-18480","layer":3},{"info":"number node, value=1512","layer":4},{"info":"number node, value=5656","layer":4},{"info":"compute binary expreesion, left_input=1512, right_input=5656, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=23572","layer":3},{"info":"compute binary expreesion, left_input=-18480, right_input=23572, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=nan","layer":1},{"info":"number node, value=4988","layer":4},{"info":"number node, value=2667","layer":4},{"info":"compute binary expreesion, left_input=4988, right_input=2667, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"number node, value=1012","layer":4},{"info":"number node, value=2073","layer":4},{"info":"compute binary expreesion, left_input=1012, right_input=2073, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-447, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":2},{"info":"number node, value=1899","layer":4},{"info":"compute unary expreesion, input=1899, op_id = Loh9y4A90B, unary_op_definition = 'a⇚⪠ = { ((a∘(a∈))*a) }', output=7212402","layer":3},{"info":"number node, value=1397","layer":4},{"info":"number node, value=2779","layer":4},{"info":"compute binary expreesion, left_input=1397, right_input=2779, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4297","layer":3},{"info":"compute binary expreesion, left_input=7212402, right_input=-4297, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-7208226","layer":2},{"info":"compute binary expreesion, left_input=-174, right_input=-7208226, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":0}],"base":7,"result_base":7,"text":"(⫛⫱⨽(⪨⨬≴∭⊉20546))⪝(≴∭⊉23650+⪬∐≴∭⊉5426≹⇙⪍≴∭⊉4260⩁⩘≴∭⊉22330)≥⨤⩑(≴∭⊉20354↳≱≴∭⊉10530⨻⩈⩔(≴∭⊉2644⫚↹⊑≴∭⊉6021))∥⊢⊲((≴∭⊉5352⇚⪠)⩚⊴⇥(≴∭⊉4034⩚⊴⇥≴∭⊉11050))=≴∭⊉3412","reverse_text":"≴∭⊉3412=(⫛⫱⨽(⪨⨬≴∭⊉20546))⪝(≴∭⊉23650+⪬∐≴∭⊉5426≹⇙⪍≴∭⊉4260⩁⩘≴∭⊉22330)≥⨤⩑(≴∭⊉20354↳≱≴∭⊉10530⨻⩈⩔(≴∭⊉2644⫚↹⊑≴∭⊉6021))∥⊢⊲((≴∭⊉5352⇚⪠)⩚⊴⇥(≴∭⊉4034⩚⊴⇥≴∭⊉11050))","cot":[{"info":"⪨⨬≴∭⊉20546=≴∭⊉-1351","layer":3},{"info":"⫛⫱⨽≴∭⊉-1351=≴∭⊉0","layer":2},{"info":"≴∭⊉23650+⪬∐≴∭⊉5426=≴∭⊉-104610","layer":3},{"info":"≴∭⊉4260⩁⩘≴∭⊉22330=≴∭⊉125503","layer":3},{"info":"≴∭⊉-104610≹⇙⪍≴∭⊉125503=NaN","layer":2},{"info":"≴∭⊉0⪝NaN=NaN","layer":1},{"info":"≴∭⊉20354↳≱≴∭⊉10530=≴∭⊉0","layer":3},{"info":"≴∭⊉2644⫚↹⊑≴∭⊉6021=≴∭⊉-1206","layer":3},{"info":"≴∭⊉0⨻⩈⩔≴∭⊉-1206=≴∭⊉-336","layer":2},{"info":"≴∭⊉5352⇚⪠=≴∭⊉115206261","layer":3},{"info":"≴∭⊉4034⩚⊴⇥≴∭⊉11050=≴∭⊉-15346","layer":3},{"info":"≴∭⊉115206261⩚⊴⇥≴∭⊉-15346=≴∭⊉-115161144","layer":2},{"info":"≴∭⊉-336∥⊢⊲≴∭⊉-115161144=NaN","layer":1},{"info":"NaN≥⨤⩑NaN=≴∭⊉3412","layer":0}]}
+{"id":623,"expression_no_base_symbol":"(≯($3724$⨑≵⋬$3456$)↹⊜($1981$⫦⪉$3280$))⋣⋖(⪹(⨞⊢$3109$≬⇓$1726$))","expression":"(≯(≴∭⊉13600⨑≵⋬≴∭⊉13035)↹⊜(≴∭⊉5530⫦⪉≴∭⊉12364))⋣⋖(⪹(⨞⊢≴∭⊉12031≬⇓≴∭⊉5014))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":80,"operation_count":8,"complexity_ratio":10.0,"tree":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":3724,"base":7},"right_expr":{"type":"numeric_atoms","value":3456,"base":7}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":1981,"base":7},"right_expr":{"type":"numeric_atoms","value":3280,"base":7}}}},"right_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":3109,"base":7},"right_expr":{"type":"numeric_atoms","value":1726,"base":7}}}}},"used_operators":["J0M6qkBnIM","keWfFq85dY","9bazX3JMtO","XnXgA4xnOs","wscyQdcy20","USyYr0JgAa","xUOZtlo3hN","jWTQ2TZYIH"],"dependent_operators":["VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","g55IO6H4Gj","JLbD19bQDL","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","tifHPKVTfV","W4YGzv6Whe","t8gj7n24qd","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3724","layer":4},{"info":"number node, value=3456","layer":4},{"info":"compute binary expreesion, left_input=3724, right_input=3456, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-4193","layer":3},{"info":"number node, value=1981","layer":4},{"info":"number node, value=3280","layer":4},{"info":"compute binary expreesion, left_input=1981, right_input=3280, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=938","layer":3},{"info":"compute binary expreesion, left_input=-4193, right_input=938, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-7600","layer":2},{"info":"compute unary expreesion, input=-7600, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":1},{"info":"number node, value=3109","layer":4},{"info":"number node, value=1726","layer":4},{"info":"compute binary expreesion, left_input=3109, right_input=1726, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":3},{"info":"compute unary expreesion, input=-22, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-152","layer":2},{"info":"compute unary expreesion, input=-152, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=332","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=332, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=0","layer":0}],"base":7,"result_base":7,"text":"(≯(≴∭⊉13600⨑≵⋬≴∭⊉13035)↹⊜(≴∭⊉5530⫦⪉≴∭⊉12364))⋣⋖(⪹(⨞⊢≴∭⊉12031≬⇓≴∭⊉5014))=≴∭⊉0","reverse_text":"≴∭⊉0=(≯(≴∭⊉13600⨑≵⋬≴∭⊉13035)↹⊜(≴∭⊉5530⫦⪉≴∭⊉12364))⋣⋖(⪹(⨞⊢≴∭⊉12031≬⇓≴∭⊉5014))","cot":[{"info":"≴∭⊉13600⨑≵⋬≴∭⊉13035=≴∭⊉-15140","layer":3},{"info":"≴∭⊉5530⫦⪉≴∭⊉12364=≴∭⊉2510","layer":3},{"info":"≴∭⊉-15140↹⊜≴∭⊉2510=≴∭⊉-31105","layer":2},{"info":"≯≴∭⊉-31105=≴∭⊉0","layer":1},{"info":"≴∭⊉12031≬⇓≴∭⊉5014=≴∭⊉-31","layer":3},{"info":"⨞⊢≴∭⊉-31=≴∭⊉-305","layer":2},{"info":"⪹≴∭⊉-305=≴∭⊉653","layer":1},{"info":"≴∭⊉0⋣⋖≴∭⊉653=≴∭⊉0","layer":0}]}
+{"id":624,"expression_no_base_symbol":"⪝⪂⫅(⋗⩴⪓($1931$⋥≓≎$4978$)↹⊜($4988$≬⋮$7384$))","expression":"⪝⪂⫅(⋗⩴⪓(≴∭⊉5426⋥≓≎≴∭⊉20341)↹⊜(≴∭⊉20354≬⋮≴∭⊉30346))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":12781,"operation_count":5,"complexity_ratio":2556.2,"tree":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1931,"base":7},"right_expr":{"type":"numeric_atoms","value":4978,"base":7}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":4988,"base":7},"right_expr":{"type":"numeric_atoms","value":7384,"base":7}}}}},"used_operators":["XTarYq4gQB","nOKPl9n5zu","9bazX3JMtO","Qy55tPpLXF","kbkesczE7y"],"dependent_operators":["9HNa5Wba9A","8w2t5hMYqp","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI"],"result":"≴∭⊉20352300","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1931","layer":4},{"info":"number node, value=4978","layer":4},{"info":"compute binary expreesion, left_input=1931, right_input=4978, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=8058","layer":3},{"info":"number node, value=4988","layer":4},{"info":"number node, value=7384","layer":4},{"info":"compute binary expreesion, left_input=4988, right_input=7384, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=8058, right_input=868, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=12548","layer":2},{"info":"compute unary expreesion, input=12548, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=-11635","layer":1},{"info":"compute unary expreesion, input=-11635, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=1710345","layer":0}],"base":7,"result_base":7,"text":"⪝⪂⫅(⋗⩴⪓(≴∭⊉5426⋥≓≎≴∭⊉20341)↹⊜(≴∭⊉20354≬⋮≴∭⊉30346))=≴∭⊉20352300","reverse_text":"≴∭⊉20352300=⪝⪂⫅(⋗⩴⪓(≴∭⊉5426⋥≓≎≴∭⊉20341)↹⊜(≴∭⊉20354≬⋮≴∭⊉30346))","cot":[{"info":"≴∭⊉5426⋥≓≎≴∭⊉20341=≴∭⊉32331","layer":3},{"info":"≴∭⊉20354≬⋮≴∭⊉30346=≴∭⊉2350","layer":3},{"info":"≴∭⊉32331↹⊜≴∭⊉2350=≴∭⊉51404","layer":2},{"info":"⋗⩴⪓≴∭⊉51404=≴∭⊉-45631","layer":1},{"info":"⪝⪂⫅≴∭⊉-45631=≴∭⊉20352300","layer":0}]}
+{"id":625,"expression_no_base_symbol":"(↑($2731$⨻⩈⩔$1879$))⫒⫫(($1052$⊾⪯⋞$7446$)⋾⨃∁($2355$⫦⪉$1748$))⪍↜⋙((⨛(↸⊣$2294$))⊜)","expression":"(↑(≴∭⊉10651⨻⩈⩔≴∭⊉5323))⫒⫫((≴∭⊉3032⊾⪯⋞≴∭⊉30465)⋾⨃∁(≴∭⊉6603⫦⪉≴∭⊉5045))⪍↜⋙((⨛(↸⊣≴∭⊉6455))⊜)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":167474,"operation_count":10,"complexity_ratio":16747.4,"tree":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":2731,"base":7},"right_expr":{"type":"numeric_atoms","value":1879,"base":7}}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":1052,"base":7},"right_expr":{"type":"numeric_atoms","value":7446,"base":7}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":2355,"base":7},"right_expr":{"type":"numeric_atoms","value":1748,"base":7}}}},"right_expr":{"type":"unary","operator":"⊜","unary_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"numeric_atoms","value":2294,"base":7}}}}},"used_operators":["L05ObWFQCd","6Ko8hGgeMq","tR7O2zTn5j","nEsXyWgiOK","212REbPD9h","HK0tfVPux8","wscyQdcy20","Eev2Q7dYIw","CoMdbyAt7R","wztAlM01eG"],"dependent_operators":["rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","g55IO6H4Gj","D4vGDi5EA2","P8v4zCKN1o","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2731","layer":4},{"info":"number node, value=1879","layer":4},{"info":"compute binary expreesion, left_input=2731, right_input=1879, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=13447","layer":3},{"info":"compute unary expreesion, input=13447, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":2},{"info":"number node, value=1052","layer":4},{"info":"number node, value=7446","layer":4},{"info":"compute binary expreesion, left_input=1052, right_input=7446, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=14466","layer":3},{"info":"number node, value=2355","layer":4},{"info":"number node, value=1748","layer":4},{"info":"compute binary expreesion, left_input=2355, right_input=1748, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=190","layer":3},{"info":"compute binary expreesion, left_input=14466, right_input=190, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=358626","layer":2},{"info":"compute binary expreesion, left_input=192, right_input=358626, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":1},{"info":"number node, value=2294","layer":4},{"info":"compute unary expreesion, input=2294, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-2007","layer":3},{"info":"compute unary expreesion, input=-2007, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = Eev2Q7dYIw, unary_op_definition = 'a⊜ = { ((a≦≮≮)⨸⪁(∥⊫a)) }', output=1736","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1736, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(↑(≴∭⊉10651⨻⩈⩔≴∭⊉5323))⫒⫫((≴∭⊉3032⊾⪯⋞≴∭⊉30465)⋾⨃∁(≴∭⊉6603⫦⪉≴∭⊉5045))⪍↜⋙((⨛(↸⊣≴∭⊉6455))⊜)=NaN","reverse_text":"NaN=(↑(≴∭⊉10651⨻⩈⩔≴∭⊉5323))⫒⫫((≴∭⊉3032⊾⪯⋞≴∭⊉30465)⋾⨃∁(≴∭⊉6603⫦⪉≴∭⊉5045))⪍↜⋙((⨛(↸⊣≴∭⊉6455))⊜)","cot":[{"info":"≴∭⊉10651⨻⩈⩔≴∭⊉5323=≴∭⊉54130","layer":3},{"info":"↑≴∭⊉54130=≴∭⊉363","layer":2},{"info":"≴∭⊉3032⊾⪯⋞≴∭⊉30465=≴∭⊉60114","layer":3},{"info":"≴∭⊉6603⫦⪉≴∭⊉5045=≴∭⊉361","layer":3},{"info":"≴∭⊉60114⋾⨃∁≴∭⊉361=≴∭⊉3022362","layer":2},{"info":"≴∭⊉363⫒⫫≴∭⊉3022362=NaN","layer":1},{"info":"↸⊣≴∭⊉6455=≴∭⊉-5565","layer":3},{"info":"⨛≴∭⊉-5565=≴∭⊉0","layer":2},{"info":"≴∭⊉0⊜=≴∭⊉5030","layer":1},{"info":"NaN⪍↜⋙≴∭⊉5030=NaN","layer":0}]}
+{"id":626,"expression_no_base_symbol":"(((⪛⨧$5945$)↺($1282$⫳≱↱$2131$))⫍⨯↯)⩣⫁∢((↘($2451$⇣⩺⋵$5632$))⊝⪿⪼($2179$⪮%⊝$7039$)↳≱(⪭⩑⪱$7488$))","expression":"(((⪛⨧≴∭⊉23222)↺(≴∭⊉3511⫳≱↱≴∭⊉6133))⫍⨯↯)⩣⫁∢((↘(≴∭⊉10101⇣⩺⋵≴∭⊉22264))⊝⪿⪼(≴∭⊉6232⪮%⊝≴∭⊉26344)↳≱(⪭⩑⪱≴∭⊉30555))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":125487,"operation_count":11,"complexity_ratio":11407.90909090909,"tree":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"unary","operator":"⫍⨯↯","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"numeric_atoms","value":5945,"base":7}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":1282,"base":7},"right_expr":{"type":"numeric_atoms","value":2131,"base":7}}}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":2451,"base":7},"right_expr":{"type":"numeric_atoms","value":5632,"base":7}}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2179,"base":7},"right_expr":{"type":"numeric_atoms","value":7039,"base":7}},"right_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"numeric_atoms","value":7488,"base":7}}}}},"used_operators":["JDUIKTTSIa","ZcwmYACASQ","7j4O788W3g","6NJAcO2OWT","ZvLB05nZmT","3Oe9XWJUTD","LdNpr8hQHL","F4yD0voBRQ","JwTKLfZU96","IWmyXbctLI","SIgE0bArFf"],"dependent_operators":["sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","23Mk6UjR3U","2DDjHMKMc0","Qy55tPpLXF","rysDP5nf3Z","t8gj7n24qd","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","uFcxV4UQCh","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9"],"result":"≴∭⊉-1345","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5945","layer":4},{"info":"compute unary expreesion, input=5945, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=13291","layer":3},{"info":"number node, value=1282","layer":4},{"info":"number node, value=2131","layer":4},{"info":"compute binary expreesion, left_input=1282, right_input=2131, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"compute binary expreesion, left_input=13291, right_input=-204, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-204","layer":2},{"info":"compute unary expreesion, input=-204, op_id = ZcwmYACASQ, unary_op_definition = 'a⫍⨯↯ = { ((a⋥≓≎a)⋷(a⋝⋈⪟337)) }', output=342","layer":1},{"info":"number node, value=2451","layer":4},{"info":"number node, value=5632","layer":4},{"info":"compute binary expreesion, left_input=2451, right_input=5632, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-1398","layer":3},{"info":"compute unary expreesion, input=-1398, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=170","layer":2},{"info":"number node, value=2179","layer":4},{"info":"number node, value=7039","layer":4},{"info":"compute binary expreesion, left_input=2179, right_input=7039, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4674","layer":3},{"info":"number node, value=7488","layer":4},{"info":"compute unary expreesion, input=7488, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":3},{"info":"compute binary expreesion, left_input=4674, right_input=8320752, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=170, right_input=0, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=12054","layer":1},{"info":"compute binary expreesion, left_input=342, right_input=12054, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-523","layer":0}],"base":7,"result_base":7,"text":"(((⪛⨧≴∭⊉23222)↺(≴∭⊉3511⫳≱↱≴∭⊉6133))⫍⨯↯)⩣⫁∢((↘(≴∭⊉10101⇣⩺⋵≴∭⊉22264))⊝⪿⪼(≴∭⊉6232⪮%⊝≴∭⊉26344)↳≱(⪭⩑⪱≴∭⊉30555))=≴∭⊉-1345","reverse_text":"≴∭⊉-1345=(((⪛⨧≴∭⊉23222)↺(≴∭⊉3511⫳≱↱≴∭⊉6133))⫍⨯↯)⩣⫁∢((↘(≴∭⊉10101⇣⩺⋵≴∭⊉22264))⊝⪿⪼(≴∭⊉6232⪮%⊝≴∭⊉26344)↳≱(⪭⩑⪱≴∭⊉30555))","cot":[{"info":"⪛⨧≴∭⊉23222=≴∭⊉53515","layer":3},{"info":"≴∭⊉3511⫳≱↱≴∭⊉6133=≴∭⊉-411","layer":3},{"info":"≴∭⊉53515↺≴∭⊉-411=≴∭⊉-411","layer":2},{"info":"≴∭⊉-411⫍⨯↯=≴∭⊉666","layer":1},{"info":"≴∭⊉10101⇣⩺⋵≴∭⊉22264=≴∭⊉-4035","layer":3},{"info":"↘≴∭⊉-4035=≴∭⊉332","layer":2},{"info":"≴∭⊉6232⪮%⊝≴∭⊉26344=≴∭⊉16425","layer":3},{"info":"⪭⩑⪱≴∭⊉30555=≴∭⊉130503516","layer":3},{"info":"≴∭⊉16425↳≱≴∭⊉130503516=≴∭⊉0","layer":2},{"info":"≴∭⊉332⊝⪿⪼≴∭⊉0=≴∭⊉50100","layer":1},{"info":"≴∭⊉666⩣⫁∢≴∭⊉50100=≴∭⊉-1345","layer":0}]}
+{"id":627,"expression_no_base_symbol":"(($4771$∪⫐$4540$)⊢($3886$⨎$1493$)∪⫐(⇖$3380$)≄⊠$4333$∛$4472$)⨐(≑⋹($2588$⨁⊸⫻))⨂≜(⫇($1938$⨉))","expression":"((≴∭⊉16624∪⫐≴∭⊉16144)⊢(≴∭⊉14221⨎≴∭⊉4232)∪⫐(⇖≴∭⊉12566)≄⊠≴∭⊉15430∛≴∭⊉16016)⨐(≑⋹(≴∭⊉10355⨁⊸⫻))⨂≜(⫇(≴∭⊉5436⨉))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3967,"operation_count":13,"complexity_ratio":305.15384615384613,"tree":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":4771,"base":7},"right_expr":{"type":"numeric_atoms","value":4540,"base":7}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":3886,"base":7},"right_expr":{"type":"numeric_atoms","value":1493,"base":7}}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"numeric_atoms","value":3380,"base":7}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":4333,"base":7},"right_expr":{"type":"numeric_atoms","value":4472,"base":7}}}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":2588,"base":7}}},"right_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"unary","operator":"⨉","unary_expr":{"type":"numeric_atoms","value":1938,"base":7}}}}},"used_operators":["Noe24qw2ks","7YooWSwCyH","5twsqlHp2o","rJVOvQCfKK","vXNesLlMH1","tfWHHpNKUN","w2537kitQq","k1SHOSEABc","6B9nyZLogK","glklzrTFfD","YjI8oCXuph","aMUSaJuDRU"],"dependent_operators":["u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","rJVOvQCfKK","2DDjHMKMc0","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","2DQ55sFlQl","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","tmPS8pqC7x","g55IO6H4Gj","qWUSsah53b"],"result":"≴∭⊉111030","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4771","layer":4},{"info":"number node, value=4540","layer":4},{"info":"compute binary expreesion, left_input=4771, right_input=4540, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=4771","layer":3},{"info":"number node, value=3886","layer":4},{"info":"number node, value=1493","layer":4},{"info":"compute binary expreesion, left_input=3886, right_input=1493, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1493","layer":3},{"info":"compute binary expreesion, left_input=4771, right_input=1493, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-9786","layer":2},{"info":"number node, value=3380","layer":4},{"info":"compute unary expreesion, input=3380, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":3},{"info":"number node, value=4333","layer":4},{"info":"number node, value=4472","layer":4},{"info":"compute binary expreesion, left_input=4333, right_input=4472, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-670, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":2},{"info":"compute binary expreesion, left_input=-9786, right_input=1500, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=-9786","layer":1},{"info":"number node, value=2588","layer":4},{"info":"compute unary expreesion, input=2588, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=2588","layer":3},{"info":"compute unary expreesion, input=2588, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=1650","layer":2},{"info":"number node, value=1938","layer":4},{"info":"compute unary expreesion, input=1938, op_id = aMUSaJuDRU, unary_op_definition = 'a⨉ = { ((⫡⇟⇯148)⨸⪁(a⨪↰⇹a)) }', output=6204","layer":3},{"info":"compute unary expreesion, input=6204, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-11194","layer":2},{"info":"compute binary expreesion, left_input=1650, right_input=-11194, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-9786, right_input=nan, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=19572","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉16624∪⫐≴∭⊉16144)⊢(≴∭⊉14221⨎≴∭⊉4232)∪⫐(⇖≴∭⊉12566)≄⊠≴∭⊉15430∛≴∭⊉16016)⨐(≑⋹(≴∭⊉10355⨁⊸⫻))⨂≜(⫇(≴∭⊉5436⨉))=≴∭⊉111030","reverse_text":"≴∭⊉111030=((≴∭⊉16624∪⫐≴∭⊉16144)⊢(≴∭⊉14221⨎≴∭⊉4232)∪⫐(⇖≴∭⊉12566)≄⊠≴∭⊉15430∛≴∭⊉16016)⨐(≑⋹(≴∭⊉10355⨁⊸⫻))⨂≜(⫇(≴∭⊉5436⨉))","cot":[{"info":"≴∭⊉16624∪⫐≴∭⊉16144=≴∭⊉16624","layer":3},{"info":"≴∭⊉14221⨎≴∭⊉4232=≴∭⊉4232","layer":3},{"info":"≴∭⊉16624⊢≴∭⊉4232=≴∭⊉-40350","layer":2},{"info":"⇖≴∭⊉12566=≴∭⊉316","layer":3},{"info":"≴∭⊉15430∛≴∭⊉16016=≴∭⊉-1645","layer":3},{"info":"≴∭⊉316≄⊠≴∭⊉-1645=≴∭⊉4242","layer":2},{"info":"≴∭⊉-40350∪⫐≴∭⊉4242=≴∭⊉-40350","layer":1},{"info":"≴∭⊉10355⨁⊸⫻=≴∭⊉10355","layer":3},{"info":"≑⋹≴∭⊉10355=≴∭⊉4545","layer":2},{"info":"≴∭⊉5436⨉=≴∭⊉24042","layer":3},{"info":"⫇≴∭⊉24042=≴∭⊉-44431","layer":2},{"info":"≴∭⊉4545⨂≜≴∭⊉-44431=NaN","layer":1},{"info":"≴∭⊉-40350⨐NaN=≴∭⊉111030","layer":0}]}
+{"id":628,"expression_no_base_symbol":"(($7153$⩟)⇴($1637$≧⫂∧$4149$)∁)⫦⪉(⪓⩚($4904$⨑≵⋬$2913$))⋝⋈⪟($1576$⪮%⊝$5191$⨸⪁$2103$≓∲$1693$)","expression":"((≴∭⊉26566⩟)⇴(≴∭⊉4526≧⫂∧≴∭⊉15045)∁)⫦⪉(⪓⩚(≴∭⊉20204⨑≵⋬≴∭⊉11331))⋝⋈⪟(≴∭⊉4411⪮%⊝≴∭⊉21064⨸⪁≴∭⊉6063≓∲≴∭⊉4636)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3505,"operation_count":11,"complexity_ratio":318.6363636363636,"tree":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"unary","operator":"∁","unary_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"unary","operator":"⩟","unary_expr":{"type":"numeric_atoms","value":7153,"base":7}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1637,"base":7},"right_expr":{"type":"numeric_atoms","value":4149,"base":7}}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":4904,"base":7},"right_expr":{"type":"numeric_atoms","value":2913,"base":7}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1576,"base":7},"right_expr":{"type":"numeric_atoms","value":5191,"base":7}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":2103,"base":7},"right_expr":{"type":"numeric_atoms","value":1693,"base":7}}}}},"used_operators":["wscyQdcy20","jdwGQqwJi5","4JB6nKBMSY","fOIeswaMU4","Ph9nP6C5qx","2DDjHMKMc0","u0R0Locfp2","XnXgA4xnOs","g55IO6H4Gj","IWmyXbctLI","s1XTVnmDOJ"],"dependent_operators":["W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","2DDjHMKMc0","sdazOOVcIp","NTOWxs364D","COABgblf1C","W4YGzv6Whe","Qy55tPpLXF","8w2t5hMYqp","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","W4YGzv6Whe","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu"],"result":"≴∭⊉6232621","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=7153","layer":4},{"info":"compute unary expreesion, input=7153, op_id = fOIeswaMU4, unary_op_definition = 'a⩟ = { (⊄⩳↩((a⋳⪒a)+(155⋥≓≎a))) }', output=-63150","layer":3},{"info":"number node, value=1637","layer":4},{"info":"number node, value=4149","layer":4},{"info":"compute binary expreesion, left_input=1637, right_input=4149, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3676","layer":3},{"info":"compute binary expreesion, left_input=-63150, right_input=3676, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=-371934","layer":2},{"info":"compute unary expreesion, input=-371934, op_id = jdwGQqwJi5, unary_op_definition = 'a∁ = { (a⋝⋈⪟a) }', output=-371934","layer":1},{"info":"number node, value=4904","layer":4},{"info":"number node, value=2913","layer":4},{"info":"compute binary expreesion, left_input=4904, right_input=2913, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=5508","layer":3},{"info":"compute unary expreesion, input=5508, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":2},{"info":"number node, value=1576","layer":4},{"info":"number node, value=5191","layer":4},{"info":"compute binary expreesion, left_input=1576, right_input=5191, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3468","layer":3},{"info":"number node, value=2103","layer":4},{"info":"number node, value=1693","layer":4},{"info":"compute binary expreesion, left_input=2103, right_input=1693, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=21813","layer":3},{"info":"compute binary expreesion, left_input=3468, right_input=21813, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=50562","layer":2},{"info":"compute binary expreesion, left_input=426, right_input=50562, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=426","layer":1},{"info":"compute binary expreesion, left_input=-371934, right_input=426, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=747706","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉26566⩟)⇴(≴∭⊉4526≧⫂∧≴∭⊉15045)∁)⫦⪉(⪓⩚(≴∭⊉20204⨑≵⋬≴∭⊉11331))⋝⋈⪟(≴∭⊉4411⪮%⊝≴∭⊉21064⨸⪁≴∭⊉6063≓∲≴∭⊉4636)=≴∭⊉6232621","reverse_text":"≴∭⊉6232621=((≴∭⊉26566⩟)⇴(≴∭⊉4526≧⫂∧≴∭⊉15045)∁)⫦⪉(⪓⩚(≴∭⊉20204⨑≵⋬≴∭⊉11331))⋝⋈⪟(≴∭⊉4411⪮%⊝≴∭⊉21064⨸⪁≴∭⊉6063≓∲≴∭⊉4636)","cot":[{"info":"≴∭⊉26566⩟=≴∭⊉-352053","layer":3},{"info":"≴∭⊉4526≧⫂∧≴∭⊉15045=≴∭⊉13501","layer":3},{"info":"≴∭⊉-352053⇴≴∭⊉13501=≴∭⊉-3106233","layer":2},{"info":"≴∭⊉-3106233∁=≴∭⊉-3106233","layer":1},{"info":"≴∭⊉20204⨑≵⋬≴∭⊉11331=≴∭⊉22026","layer":3},{"info":"⪓⩚≴∭⊉22026=≴∭⊉1146","layer":2},{"info":"≴∭⊉4411⪮%⊝≴∭⊉21064=≴∭��13053","layer":3},{"info":"≴∭⊉6063≓∲≴∭⊉4636=≴∭⊉120411","layer":3},{"info":"≴∭⊉13053⨸⪁≴∭⊉120411=≴∭⊉300261","layer":2},{"info":"≴∭⊉1146⋝⋈⪟≴∭⊉300261=≴∭⊉1146","layer":1},{"info":"≴∭⊉-3106233⫦⪉≴∭⊉1146=≴∭⊉6232621","layer":0}]}
+{"id":629,"expression_no_base_symbol":"(($3106$↡⊰⫅$4858$)⇮⋭$4657$≳⇉$5510$)⨰($2762$∴$1735$⊘)⊨(↩($4149$⋕⪉⪜$4890$↠))","expression":"((≴∭⊉12025↡⊰⫅≴∭⊉20110)⇮⋭≴∭⊉16402≳⇉≴∭⊉22031)⨰(≴∭⊉11024∴≴∭⊉5026⊘)⊨(↩(≴∭⊉15045⋕⪉⪜≴∭⊉20154↠))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":382883862,"operation_count":10,"complexity_ratio":38288386.2,"tree":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":3106,"base":7},"right_expr":{"type":"numeric_atoms","value":4858,"base":7}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":4657,"base":7},"right_expr":{"type":"numeric_atoms","value":5510,"base":7}}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":2762,"base":7},"right_expr":{"type":"numeric_atoms","value":1735,"base":7}}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"unary","operator":"↠","unary_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":4149,"base":7},"right_expr":{"type":"numeric_atoms","value":4890,"base":7}}}}},"used_operators":["vg4gO5BX6G","eewbuw0ToL","vkpjKywKVM","VCtxkLNOzz","V0kx6qeWkN","gu96TGCTMs","hrf7POJlIJ","jLgFTUHLKL","LBdsKIvxzf","z6LnFrNh4i"],"dependent_operators":["NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","d7ASUq0ydm","rysDP5nf3Z","Noe24qw2ks","xRrnTEsQ6j","dfKe02y8D2","Tw270M8GLb","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3106","layer":4},{"info":"number node, value=4858","layer":4},{"info":"compute binary expreesion, left_input=3106, right_input=4858, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=9716","layer":3},{"info":"number node, value=4657","layer":4},{"info":"number node, value=5510","layer":4},{"info":"compute binary expreesion, left_input=4657, right_input=5510, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=9716, right_input=nan, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=nan","layer":2},{"info":"number node, value=2762","layer":4},{"info":"number node, value=1735","layer":4},{"info":"compute binary expreesion, left_input=2762, right_input=1735, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=7172","layer":3},{"info":"compute unary expreesion, input=7172, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"number node, value=4149","layer":4},{"info":"number node, value=4890","layer":4},{"info":"compute binary expreesion, left_input=4149, right_input=4890, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":3},{"info":"compute unary expreesion, input=204, op_id = LBdsKIvxzf, unary_op_definition = 'a↠ = { ((⨰⫟⨤603)⨐(a⫯⪬∳a)) , if (a⫁⪎18)<=15 ; (167⫚↹⊑(a-a)) , else }', output=-447","layer":2},{"info":"compute unary expreesion, input=-447, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=4408","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=4408, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽���(a⩚⊴⇥a)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉12025↡⊰⫅≴∭⊉20110)⇮⋭≴∭⊉16402≳⇉≴∭⊉22031)⨰(≴∭⊉11024∴≴∭⊉5026⊘)⊨(↩(≴∭⊉15045⋕⪉⪜≴∭⊉20154↠))=NaN","reverse_text":"NaN=((≴∭⊉12025↡⊰⫅≴∭⊉20110)⇮⋭≴∭⊉16402≳⇉≴∭⊉22031)⨰(≴∭⊉11024∴≴∭⊉5026⊘)⊨(↩(≴∭⊉15045⋕⪉⪜≴∭⊉20154↠))","cot":[{"info":"≴∭⊉12025↡⊰⫅≴∭⊉20110=≴∭⊉40220","layer":3},{"info":"≴∭⊉16402≳⇉≴∭⊉22031=NaN","layer":3},{"info":"≴∭⊉40220⇮⋭NaN=NaN","layer":2},{"info":"≴∭⊉11024∴≴∭⊉5026=≴∭⊉26624","layer":3},{"info":"≴∭⊉26624⊘=≴∭⊉0","layer":2},{"info":"NaN⨰≴∭⊉0=NaN","layer":1},{"info":"≴∭⊉15045⋕⪉⪜≴∭⊉20154=≴∭⊉411","layer":3},{"info":"≴∭⊉411↠=≴∭⊉-1206","layer":2},{"info":"↩≴∭⊉-1206=≴∭⊉15565","layer":1},{"info":"NaN⊨≴∭⊉15565=NaN","layer":0}]}
+{"id":630,"expression_no_base_symbol":"((↓⇌($2913$∀⇚≩$8477$))∙∹∝($1371$∇⊂⋱$1679$)⩖⊿(⊀$2048$))⩧⪆(($5221$≦↸$1292$⪄$6787$⇣⩺⋵$1998$)≬⇓(∂⩏⊆$8952$≨$1025$))","expression":"((↓⇌(≴∭⊉11331∀⇚≩≴∭⊉33500))∙∹∝(≴∭⊉3666∇⊂⋱≴∭⊉4616)⩖⊿(⊀≴∭⊉5654))⩧⪆((≴∭⊉21136≦↸≴∭⊉3524⪄≴∭⊉25534⇣⩺⋵≴∭⊉5553)≬⇓(∂⩏⊆≴∭⊉35046≨≴∭⊉2663))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":20705,"operation_count":13,"complexity_ratio":1592.6923076923076,"tree":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2913,"base":7},"right_expr":{"type":"numeric_atoms","value":8477,"base":7}}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":1371,"base":7},"right_expr":{"type":"numeric_atoms","value":1679,"base":7}},"right_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"numeric_atoms","value":2048,"base":7}}}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":5221,"base":7},"right_expr":{"type":"numeric_atoms","value":1292,"base":7}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":6787,"base":7},"right_expr":{"type":"numeric_atoms","value":1998,"base":7}}},"right_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":8952,"base":7},"right_expr":{"type":"numeric_atoms","value":1025,"base":7}}}}},"used_operators":["Ikt5ks8PT7","HmxsFra2vL","PxpmPgHHJV","LRNGc0VcxI","RZ5CV9rWsJ","nhYeJWJD5X","oPMjh9089D","jWTQ2TZYIH","SUmda5xLS4","RygbFNSyEJ","F4yD0voBRQ","8WDwsbhb0R","0KMCeP1Jsh"],"dependent_operators":["eewbuw0ToL","t8gj7n24qd","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","X99M06cbEe","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","14qkJME0vr","eLAdDNolq6","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC"],"result":"≴∭⊉31","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2913","layer":4},{"info":"number node, value=8477","layer":4},{"info":"compute binary expreesion, left_input=2913, right_input=8477, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=nan","layer":2},{"info":"number node, value=1371","layer":4},{"info":"number node, value=1679","layer":4},{"info":"compute binary expreesion, left_input=1371, right_input=1679, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=2196","layer":3},{"info":"number node, value=2048","layer":4},{"info":"compute unary expreesion, input=2048, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=7930","layer":3},{"info":"compute binary expreesion, left_input=2196, right_input=7930, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=54574","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=54574, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=nan","layer":1},{"info":"number node, value=5221","layer":4},{"info":"number node, value=1292","layer":4},{"info":"compute binary expreesion, left_input=5221, right_input=1292, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-12345","layer":3},{"info":"number node, value=6787","layer":4},{"info":"number node, value=1998","layer":4},{"info":"compute binary expreesion, left_input=6787, right_input=1998, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"compute binary expreesion, left_input=-12345, right_input=-260, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":2},{"info":"number node, value=8952","layer":4},{"info":"number node, value=1025","layer":4},{"info":"compute binary expreesion, left_input=8952, right_input=1025, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-87044","layer":3},{"info":"compute unary expreesion, input=-87044, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=87528","layer":2},{"info":"compute binary expreesion, left_input=3979, right_input=87528, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-22, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=22","layer":0}],"base":7,"result_base":7,"text":"((↓⇌(≴∭⊉11331∀⇚≩≴∭⊉33500))∙∹∝(≴∭⊉3666∇⊂⋱≴∭⊉4616)⩖⊿(⊀≴∭⊉5654))⩧⪆((≴∭⊉21136≦↸≴∭⊉3524⪄≴∭⊉25534⇣⩺⋵≴∭⊉5553)≬⇓(∂⩏⊆≴∭⊉35046≨≴∭⊉2663))=≴∭⊉31","reverse_text":"≴∭⊉31=((↓⇌(≴∭⊉11331∀⇚≩≴∭⊉33500))∙∹∝(≴∭⊉3666∇⊂⋱≴∭⊉4616)⩖⊿(⊀≴∭⊉5654))⩧⪆((≴∭⊉21136≦↸≴∭⊉3524⪄≴∭⊉25534⇣⩺⋵≴∭⊉5553)≬⇓(∂⩏⊆≴∭⊉35046≨≴∭⊉2663))","cot":[{"info":"≴∭⊉11331∀⇚≩≴∭⊉33500=NaN","layer":3},{"info":"↓⇌NaN=NaN","layer":2},{"info":"≴∭⊉3666∇⊂⋱≴∭⊉4616=≴∭⊉6255","layer":3},{"info":"⊀≴∭⊉5654=≴∭⊉32056","layer":3},{"info":"≴∭⊉6255⩖⊿≴∭⊉32056=≴∭⊉315052","layer":2},{"info":"NaN∙∹∝≴∭⊉315052=NaN","layer":1},{"info":"≴∭⊉21136≦↸≴∭⊉3524=≴∭⊉-50664","layer":3},{"info":"≴∭⊉25534⇣⩺⋵≴∭⊉5553=≴∭⊉-521","layer":3},{"info":"≴∭⊉-50664⪄≴∭⊉-521=≴∭⊉14413","layer":2},{"info":"≴∭⊉35046≨≴∭⊉2663=≴∭⊉-511526","layer":3},{"info":"∂⩏⊆≴∭⊉-511526=≴∭⊉513120","layer":2},{"info":"≴∭⊉14413≬⇓≴∭⊉513120=≴∭⊉-31","layer":1},{"info":"NaN⩧⪆≴∭⊉-31=≴∭⊉31","layer":0}]}
+{"id":631,"expression_no_base_symbol":"(⊈((⫟$2508$)⩌⋺$1777$∳⫺$1096$))⫌⩉⩟((⊗$4435$)⩵∡($1369$⊹≧⊝)∁)","expression":"(⊈((⫟≴∭⊉10212)⩌⋺≴∭⊉5116∳⫺≴∭⊉3124))⫌⩉⩟((⊗≴∭⊉15634)⩵∡(≴∭⊉3664⊹≧⊝)∁)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":124923,"operation_count":9,"complexity_ratio":13880.333333333334,"tree":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"numeric_atoms","value":2508,"base":7}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":1777,"base":7},"right_expr":{"type":"numeric_atoms","value":1096,"base":7}}}},"right_expr":{"type":"unary","operator":"∁","unary_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"numeric_atoms","value":4435,"base":7}},"right_expr":{"type":"unary","operator":"⊹≧⊝","unary_expr":{"type":"numeric_atoms","value":1369,"base":7}}}}},"used_operators":["XIIwhv8d0m","RHru8klgy8","g7Hmc5v1ko","z4E1FaHLuy","AzXXKTstlj","jdwGQqwJi5","Y7wcNGrDQJ","RhiyfpczSx","LxFB4K6j0n"],"dependent_operators":["B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","12rbrZMWeM","xUOZtlo3hN","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","2DDjHMKMc0","NTOWxs364D","glklzrTFfD","tifHPKVTfV","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","NTOWxs364D","P8v4zCKN1o","XPYlsWDdGa","DZ8iAZOCBD","t8gj7n24qd","g55IO6H4Gj","eewbuw0ToL","i8ToyICDmI","COABgblf1C"],"result":"≴∭⊉-101","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2508","layer":4},{"info":"compute unary expreesion, input=2508, op_id = z4E1FaHLuy, unary_op_definition = '⫟a = { (((-a)⪨≂(a⨸⪁a))≧⫂∧((a⩷∴a)⨰(a⫡⨏a))) , if (a⫌⩹⨱)>=11 ; (((a+263)⋝⋈⪟(a⨳⩥⨓a))⪒((a⋥≓≎a)⫩⊇)) , else }', output=-6617","layer":3},{"info":"number node, value=1777","layer":4},{"info":"number node, value=1096","layer":4},{"info":"compute binary expreesion, left_input=1777, right_input=1096, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":3},{"info":"compute binary expreesion, left_input=-6617, right_input=-260, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=6756","layer":2},{"info":"compute unary expreesion, input=6756, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-6930","layer":1},{"info":"number node, value=4435","layer":4},{"info":"compute unary expreesion, input=4435, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-8870","layer":3},{"info":"number node, value=1369","layer":4},{"info":"compute unary expreesion, input=1369, op_id = LxFB4K6j0n, unary_op_definition = 'a⊹≧⊝ = { (((∥⊫a)⊭↱(a⩚⊴⇥a))⊉≛↸(⪲⇎(⪲⇎a))) , if a!=566 ; (-((a∲⫓a)⨸⪁(a⨰a))) , else }', output=-5476","layer":3},{"info":"compute binary expreesion, left_input=-8870, right_input=-5476, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=21013","layer":2},{"info":"compute unary expreesion, input=21013, op_id = jdwGQqwJi5, unary_op_definition = 'a∁ = { (a⋝⋈⪟a) }', output=21013","layer":1},{"info":"compute binary expreesion, left_input=-6930, right_input=21013, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":0}],"base":7,"result_base":7,"text":"(⊈((⫟≴∭⊉10212)⩌⋺≴∭⊉5116∳⫺≴∭⊉3124))⫌⩉⩟((⊗≴∭⊉15634)⩵∡(≴∭⊉3664⊹≧⊝)∁)=≴∭⊉-101","reverse_text":"≴∭⊉-101=(⊈((⫟≴∭⊉10212)⩌⋺≴∭⊉5116∳⫺≴∭⊉3124))⫌⩉⩟((⊗≴∭⊉15634)⩵∡(≴∭⊉3664⊹≧⊝)∁)","cot":[{"info":"⫟≴∭⊉10212=≴∭⊉-25202","layer":3},{"info":"≴∭⊉5116∳⫺≴∭⊉3124=≴∭⊉-521","layer":3},{"info":"≴∭⊉-25202⩌⋺≴∭⊉-521=≴∭⊉25461","layer":2},{"info":"⊈≴∭⊉25461=≴∭⊉-26130","layer":1},{"info":"⊗≴∭⊉15634=≴∭⊉-34601","layer":3},{"info":"≴∭⊉3664⊹≧⊝=≴∭⊉-21652","layer":3},{"info":"≴∭⊉-34601⩵∡≴∭⊉-21652=≴∭⊉115156","layer":2},{"info":"≴∭⊉115156∁=≴∭⊉115156","layer":1},{"info":"≴∭⊉-26130⫌⩉⩟≴∭⊉115156=≴∭⊉-101","layer":0}]}
+{"id":632,"expression_no_base_symbol":"(⨭⩧⫛($3842$∋$3359$⫦⪉(≉$1357$)))⪨≂(∤$1199$↓$2133$)⨚((⨂⪏⇭$2068$)⪓⨏)","expression":"(⨭⩧⫛(≴∭⊉14126∋≴∭⊉12536⫦⪉(≉≴∭⊉3646)))⪨≂(∤≴∭⊉3332↓≴∭⊉6135)⨚((⨂⪏⇭≴∭⊉6013)⪓⨏)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":314303,"operation_count":10,"complexity_ratio":31430.3,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":3842,"base":7},"right_expr":{"type":"numeric_atoms","value":3359,"base":7}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1357,"base":7}}}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":1199,"base":7},"right_expr":{"type":"numeric_atoms","value":2133,"base":7}}},"right_expr":{"type":"unary","operator":"⪓⨏","unary_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"numeric_atoms","value":2068,"base":7}}}}},"used_operators":["sdazOOVcIp","g21JL6JxX7","wscyQdcy20","ukq6epAj5P","e1ybzncUwg","nREPSIbpBE","k2HlF1dBQh","Af076pWI7l","4X9JU4Jbn6","AYdpE9sXAk"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","W4YGzv6Whe","t8gj7n24qd","BjRHVeLaeN","12rbrZMWeM","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","gJLn6v0xnP","nOKPl9n5zu","W9R8I5fN5A","rxpJgHHUmx","inkyxCbjAn","z63VuFQld9","AcOhelriW5","3sJ7IOPOlU","CoMdbyAt7R","cHh1gJQ2o6","xlXykHWxX1","Nsiff2A1zJ","eewbuw0ToL","NTOWxs364D","EBcxylXtPf"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3842","layer":4},{"info":"number node, value=3359","layer":4},{"info":"compute binary expreesion, left_input=3842, right_input=3359, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=7105960","layer":3},{"info":"number node, value=1357","layer":4},{"info":"compute unary expreesion, input=1357, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1888","layer":3},{"info":"compute binary expreesion, left_input=7105960, right_input=1888, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-14207020","layer":2},{"info":"compute unary expreesion, input=-14207020, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":1},{"info":"number node, value=1199","layer":4},{"info":"number node, value=2133","layer":4},{"info":"compute binary expreesion, left_input=1199, right_input=2133, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"compute unary expreesion, input=-134, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":2},{"info":"number node, value=2068","layer":4},{"info":"compute unary expreesion, input=2068, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=5225","layer":3},{"info":"compute unary expreesion, input=5225, op_id = 4X9JU4Jbn6, unary_op_definition = 'a⪓⨏ = { (((⨣⨃⇪a)≭(a⊊))⫢⨠((a⪇≇⋚a)⩘(413≥⨤⩑a))) , if (⇁⨣⪵a)<1 ; ((⋗⩴⪓(191∧))⫢⨠(⨛(a⊴a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=9, right_input=nan, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(⨭⩧⫛(≴∭⊉14126∋≴∭⊉12536⫦⪉(≉≴∭⊉3646)))⪨≂(∤≴∭⊉3332↓≴∭⊉6135)⨚((⨂⪏⇭≴∭⊉6013)⪓⨏)=NaN","reverse_text":"NaN=(⨭⩧⫛(≴∭⊉14126∋≴∭⊉12536⫦⪉(≉≴∭⊉3646)))⪨≂(∤≴∭⊉3332↓≴∭⊉6135)⨚((⨂⪏⇭≴∭⊉6013)⪓⨏)","cot":[{"info":"≴∭⊉14126∋≴∭⊉12536=≴∭⊉114254041","layer":3},{"info":"≉≴∭⊉3646=≴∭⊉5335","layer":3},{"info":"≴∭⊉114254041⫦⪉≴∭⊉5335=≴∭⊉-231520612","layer":2},{"info":"⨭⩧⫛≴∭⊉-231520612=NaN","layer":1},{"info":"≴∭⊉3332↓≴∭⊉6135=≴∭⊉-251","layer":3},{"info":"∤≴∭⊉-251=≴∭⊉12","layer":2},{"info":"⨂⪏⇭≴∭⊉6013=≴∭⊉21143","layer":3},{"info":"≴∭⊉21143⪓⨏=NaN","layer":2},{"info":"≴∭⊉12⨚NaN=NaN","layer":1},{"info":"NaN⪨≂NaN=NaN","layer":0}]}
+{"id":633,"expression_no_base_symbol":"(⨣⨃⇪($1544$⇯⋐))⋕⪉⪜($1897$∝$1231$)⊕∕($1143$↼⊘⨖$7449$)∘($1303$∊∟⩊$2012$∌↝($1363$↺$1322$)⋾⨃∁(($1249$↛⩡⫤)≓∲$4147$⋳⪒$1061$))","expression":"(⨣⨃⇪(≴∭⊉4334⇯⋐))⋕⪉⪜(≴∭⊉5350∝≴∭⊉3406)⊕∕(≴∭⊉3222↼⊘⨖≴∭⊉30501)∘(≴∭⊉3541∊∟⩊≴∭⊉5603∌↝(≴∭⊉3655↺≴∭⊉3566)⋾⨃∁((≴∭⊉3433↛⩡⫤)≓∲≴∭⊉15043⋳⪒≴∭⊉3044))","highest_n_order":3,"priority_hierarchical_complexity":13,"normalized_expansion_degree":10295,"operation_count":14,"complexity_ratio":735.3571428571429,"tree":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"unary","operator":"⇯⋐","unary_expr":{"type":"numeric_atoms","value":1544,"base":7}}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":1897,"base":7},"right_expr":{"type":"numeric_atoms","value":1231,"base":7}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":1143,"base":7},"right_expr":{"type":"numeric_atoms","value":7449,"base":7}}}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":1303,"base":7},"right_expr":{"type":"numeric_atoms","value":2012,"base":7}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1363,"base":7},"right_expr":{"type":"numeric_atoms","value":1322,"base":7}}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":1249,"base":7}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":4147,"base":7},"right_expr":{"type":"numeric_atoms","value":1061,"base":7}}}}},"used_operators":["Z5m6OM72h2","z6LnFrNh4i","AcOhelriW5","LkLIoiE525","9cloC0Ngie","cTDWOvIxvz","bPywburJMS","212REbPD9h","9Isq31Ruls","ddLRYrp01A","7j4O788W3g","s1XTVnmDOJ","FU0Cs4j7VP","12rbrZMWeM"],"dependent_operators":["eH2TOUuTDT","rysDP5nf3Z","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","7j4O788W3g","W4YGzv6Whe","COABgblf1C","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","rysDP5nf3Z","t8gj7n24qd","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd"],"result":"≴∭⊉22224","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1544","layer":4},{"info":"compute unary expreesion, input=1544, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=5510","layer":3},{"info":"compute unary expreesion, input=5510, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":2},{"info":"number node, value=1897","layer":4},{"info":"number node, value=1231","layer":4},{"info":"compute binary expreesion, left_input=1897, right_input=1231, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=1902","layer":3},{"info":"number node, value=1143","layer":4},{"info":"number node, value=7449","layer":4},{"info":"compute binary expreesion, left_input=1143, right_input=7449, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=14676","layer":3},{"info":"compute binary expreesion, left_input=1902, right_input=14676, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=1902","layer":2},{"info":"compute binary expreesion, left_input=1405, right_input=1902, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":1},{"info":"number node, value=1303","layer":4},{"info":"number node, value=2012","layer":4},{"info":"compute binary expreesion, left_input=1303, right_input=2012, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=2012","layer":3},{"info":"number node, value=1363","layer":4},{"info":"number node, value=1322","layer":4},{"info":"compute binary expreesion, left_input=1363, right_input=1322, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1322","layer":3},{"info":"compute binary expreesion, left_input=2012, right_input=1322, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":2},{"info":"number node, value=1249","layer":4},{"info":"compute unary expreesion, input=1249, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-184688","layer":3},{"info":"number node, value=4147","layer":4},{"info":"number node, value=1061","layer":4},{"info":"compute binary expreesion, left_input=4147, right_input=1061, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=6946","layer":3},{"info":"compute binary expreesion, left_input=-184688, right_input=6946, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=67, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=43992","layer":1},{"info":"compute binary expreesion, left_input=2802, right_input=43992, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=5604","layer":0}],"base":7,"result_base":7,"text":"(⨣⨃⇪(≴∭⊉4334⇯⋐))⋕⪉⪜(≴∭⊉5350∝≴∭⊉3406)⊕∕(≴∭⊉3222↼⊘⨖≴∭⊉30501)∘(≴∭⊉3541∊∟⩊≴∭⊉5603∌↝(≴∭⊉3655↺≴∭⊉3566)⋾⨃∁((≴∭⊉3433↛⩡⫤)≓∲≴∭⊉15043⋳⪒≴∭⊉3044))=≴∭⊉22224","reverse_text":"≴∭⊉22224=(⨣⨃⇪(≴∭⊉4334⇯⋐))⋕⪉⪜(≴∭⊉5350∝≴∭⊉3406)⊕∕(≴∭⊉3222↼⊘⨖≴∭⊉30501)∘(≴∭⊉3541∊∟⩊≴∭⊉5603∌↝(≴∭⊉3655↺≴∭⊉3566)⋾⨃∁((≴∭⊉3433↛⩡⫤)≓∲≴∭⊉15043⋳⪒≴∭⊉3044))","cot":[{"info":"≴∭⊉4334⇯⋐=≴∭⊉22031","layer":3},{"info":"⨣⨃⇪≴∭⊉22031=≴∭⊉4045","layer":2},{"info":"≴∭⊉5350∝≴∭⊉3406=≴∭⊉5355","layer":3},{"info":"≴∭⊉3222↼⊘⨖≴∭⊉30501=≴∭⊉60534","layer":3},{"info":"≴∭⊉5355⊕∕≴∭⊉60534=≴∭⊉5355","layer":2},{"info":"≴∭⊉4045⋕⪉⪜≴∭⊉5355=≴∭⊉11112","layer":1},{"info":"≴∭⊉3541∊∟⩊≴∭⊉5603=≴∭⊉5603","layer":3},{"info":"≴∭⊉3655↺≴∭⊉3566=≴∭⊉3566","layer":3},{"info":"≴∭⊉5603∌↝≴∭⊉3566=≴∭⊉0","layer":2},{"info":"≴∭⊉3433↛⩡⫤=≴∭⊉-1366310","layer":3},{"info":"≴∭⊉15043⋳⪒≴∭⊉3044=≴∭⊉26152","layer":3},{"info":"≴∭⊉-1366310≓∲≴∭⊉26152=≴∭⊉124","layer":2},{"info":"≴∭⊉0⋾⨃∁≴∭⊉124=≴∭⊉242154","layer":1},{"info":"≴∭⊉11112∘≴∭⊉242154=≴∭⊉22224","layer":0}]}
+{"id":634,"expression_no_base_symbol":"((≀↧⇸$1650$)⋆⋳)≃(($2341$⪡$5274$)⊚⫡⫭)⨑≵⋬(($3581$∀⇚≩$2345$)⊝⪿⪼(↨$2607$))⇻⋧≁((↨$1879$)↱$2962$⪍↜⋙$5679$)","expression":"((≀↧⇸≴∭⊉4545)⋆⋳)≃((≴∭⊉6553⪡≴∭⊉21243)⊚⫡⫭)⨑≵⋬((≴∭⊉13304∀⇚≩≴∭⊉6560)⊝⪿⪼(↨≴∭⊉10413))⇻⋧≁((↨≴∭⊉5323)↱≴∭⊉11431⪍↜⋙≴∭⊉22362)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":25743,"operation_count":13,"complexity_ratio":1980.2307692307693,"tree":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"unary","operator":"⋆⋳","unary_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"numeric_atoms","value":1650,"base":7}}},"right_expr":{"type":"unary","operator":"⊚⫡⫭","unary_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":2341,"base":7},"right_expr":{"type":"numeric_atoms","value":5274,"base":7}}}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3581,"base":7},"right_expr":{"type":"numeric_atoms","value":2345,"base":7}},"right_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"numeric_atoms","value":2607,"base":7}}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"numeric_atoms","value":1879,"base":7}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":2962,"base":7},"right_expr":{"type":"numeric_atoms","value":5679,"base":7}}}}},"used_operators":["XnXgA4xnOs","YbVcJGFEVW","6MpZysEj17","ljTHtUsqzn","SpZWOsLKZJ","oraRL2iQuh","jCPkEVoL5K","3Oe9XWJUTD","LRNGc0VcxI","jiX4gk2v2Q","SR5kFfdi6N","L05ObWFQCd"],"dependent_operators":["eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","9FxExcQeMw","7j4O788W3g","DIvbN7qnHd","XPYlsWDdGa","23Mk6UjR3U","P8v4zCKN1o","rysDP5nf3Z","e1ybzncUwg","N41Kp7NANJ","sdazOOVcIp","Ph9nP6C5qx","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","X99M06cbEe","rGHVDoGpnC","oZj3VtZNQx","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q"],"result":"≴∭⊉404043","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1650","layer":4},{"info":"compute unary expreesion, input=1650, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=3300","layer":3},{"info":"compute unary expreesion, input=3300, op_id = 6MpZysEj17, unary_op_definition = 'a⋆⋳ = { ((a⊠≄⫣)⩷∴(a↺a)) }', output=-6632","layer":2},{"info":"number node, value=2341","layer":4},{"info":"number node, value=5274","layer":4},{"info":"compute binary expreesion, left_input=2341, right_input=5274, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"compute unary expreesion, input=107, op_id = SpZWOsLKZJ, unary_op_definition = 'a⊚⫡⫭ = { (((∥⊫a)≧⫂∧(≉a))⪨≂((177-a)≋⫹)) }', output=712","layer":2},{"info":"compute binary expreesion, left_input=-6632, right_input=712, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=13244","layer":1},{"info":"number node, value=3581","layer":4},{"info":"number node, value=2345","layer":4},{"info":"compute binary expreesion, left_input=3581, right_input=2345, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=2607","layer":4},{"info":"compute unary expreesion, input=2607, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=nan","layer":2},{"info":"number node, value=1879","layer":4},{"info":"compute unary expreesion, input=1879, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":3},{"info":"number node, value=2962","layer":4},{"info":"number node, value=5679","layer":4},{"info":"compute binary expreesion, left_input=2962, right_input=5679, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-26951","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-26951, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-200296","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-200296, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=13244, right_input=0, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=68631","layer":0}],"base":7,"result_base":7,"text":"((≀↧⇸≴∭⊉4545)⋆⋳)≃((≴∭⊉6553⪡≴∭⊉21243)⊚⫡⫭)⨑≵⋬((≴∭⊉13304∀⇚≩≴∭⊉6560)⊝⪿⪼(↨≴∭⊉10413))⇻⋧≁((↨≴∭⊉5323)↱≴∭⊉11431⪍↜⋙≴∭⊉22362)=≴∭⊉404043","reverse_text":"≴∭⊉404043=((≀↧⇸≴∭⊉4545)⋆⋳)≃((≴∭⊉6553⪡≴∭⊉21243)⊚⫡⫭)⨑≵⋬((≴∭⊉13304∀⇚≩≴∭⊉6560)⊝⪿⪼(↨≴∭⊉10413))⇻⋧≁((↨≴∭⊉5323)↱≴∭⊉11431⪍↜⋙≴∭⊉22362)","cot":[{"info":"≀↧⇸≴∭⊉4545=≴∭⊉12423","layer":3},{"info":"≴∭⊉12423⋆⋳=≴∭⊉-25223","layer":2},{"info":"≴∭⊉6553⪡≴∭⊉21243=≴∭⊉212","layer":3},{"info":"≴∭⊉212⊚⫡⫭=≴∭⊉2035","layer":2},{"info":"≴∭⊉-25223≃≴∭⊉2035=≴∭⊉53420","layer":1},{"info":"≴∭⊉13304∀⇚≩≴∭⊉6560=NaN","layer":3},{"info":"↨≴∭⊉10413=NaN","layer":3},{"info":"NaN⊝⪿⪼NaN=NaN","layer":2},{"info":"↨≴∭⊉5323=NaN","layer":3},{"info":"≴∭⊉11431⪍↜⋙≴∭⊉22362=≴∭⊉-141401","layer":3},{"info":"NaN↱≴∭⊉-141401=≴∭⊉-1462645","layer":2},{"info":"NaN⇻⋧≁≴∭⊉-1462645=≴∭⊉0","layer":1},{"info":"≴∭⊉53420⨑≵⋬≴∭⊉0=≴∭⊉404043","layer":0}]}
+{"id":635,"expression_no_base_symbol":"(⨆≐≲((-$3550$)⇻⋧≁(⫖→$7310$)))⨎(⩷⨜⫀($5729$⫿)≌($6229$⪔⊥$5514$))","expression":"(⨆≐≲((-≴∭⊉13231)⇻⋧≁(⫖→≴∭⊉30212)))⨎(⩷⨜⫀(≴∭⊉22463⫿)≌(≴∭⊉24106⪔⊥≴∭⊉22035))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":21666,"operation_count":9,"complexity_ratio":2407.3333333333335,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":3550,"base":7}},"right_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"numeric_atoms","value":7310,"base":7}}}},"right_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"binary","operator":"≌","left_expr":{"type":"unary","operator":"⫿","unary_expr":{"type":"numeric_atoms","value":5729,"base":7}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":6229,"base":7},"right_expr":{"type":"numeric_atoms","value":5514,"base":7}}}}},"used_operators":["rJVOvQCfKK","Bi9z9uYZqW","jCPkEVoL5K","t8gj7n24qd","U4ylXWHChL","CDi0ktkjQ4","lyWz822IDG","9tKT6PmtkH","HJ9erzHUuu"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","ruOEQAzv1W","nhYeJWJD5X","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","DpFCA1CohY","9ICcGScMcE","f6k1SAg4EE","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C"],"result":"≴∭⊉-251","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3550","layer":4},{"info":"compute unary expreesion, input=3550, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-3550","layer":3},{"info":"number node, value=7310","layer":4},{"info":"compute unary expreesion, input=7310, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":3},{"info":"compute binary expreesion, left_input=-3550, right_input=177, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-35327","layer":2},{"info":"compute unary expreesion, input=-35327, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=-168548","layer":1},{"info":"number node, value=5729","layer":4},{"info":"compute unary expreesion, input=5729, op_id = 9tKT6PmtkH, unary_op_definition = 'a⫿ = { (≦∁a) , if (⋗⩬⋾a)<1 ; (a⪒a) , else }', output=5729","layer":3},{"info":"number node, value=6229","layer":4},{"info":"number node, value=5514","layer":4},{"info":"compute binary expreesion, left_input=6229, right_input=5514, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=13689","layer":3},{"info":"compute binary expreesion, left_input=5729, right_input=13689, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-134","layer":1},{"info":"compute binary expreesion, left_input=-168548, right_input=-134, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-134","layer":0}],"base":7,"result_base":7,"text":"(⨆≐≲((-≴∭⊉13231)⇻⋧≁(⫖→≴∭⊉30212)))⨎(⩷⨜⫀(≴∭⊉22463⫿)≌(≴∭⊉24106⪔⊥≴∭⊉22035))=≴∭⊉-251","reverse_text":"≴∭⊉-251=(⨆≐≲((-≴∭⊉13231)⇻⋧≁(⫖→≴∭⊉30212)))⨎(⩷⨜⫀(≴∭⊉22463⫿)≌(≴∭⊉24106⪔⊥≴∭⊉22035))","cot":[{"info":"-≴∭⊉13231=≴∭⊉-13231","layer":3},{"info":"⫖→≴∭⊉30212=≴∭⊉342","layer":3},{"info":"≴∭⊉-13231⇻⋧≁≴∭⊉342=≴∭⊉-204665","layer":2},{"info":"⨆≐≲≴∭⊉-204665=≴∭⊉-1301252","layer":1},{"info":"≴∭⊉22463⫿=≴∭⊉22463","layer":3},{"info":"≴∭⊉24106⪔⊥≴∭⊉22035=≴∭⊉54624","layer":3},{"info":"≴∭⊉22463≌≴∭⊉54624=NaN","layer":2},{"info":"⩷⨜⫀NaN=≴∭⊉-251","layer":1},{"info":"≴∭⊉-1301252⨎≴∭⊉-251=≴∭⊉-251","layer":0}]}
+{"id":636,"expression_no_base_symbol":"((⨙⪌$6399$)∣(⨈⫕$2787$)⋻⩜⩜(⨭⩧⫛(⇉-⫰$1127$)))∀⊥⇻","expression":"((⨙⪌≴∭⊉24441)∣(⨈⫕≴∭⊉11061)⋻⩜⩜(⨭⩧⫛(⇉-⫰≴∭⊉3200)))∀⊥⇻","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1750,"operation_count":7,"complexity_ratio":250.0,"tree":{"type":"unary","operator":"∀⊥⇻","unary_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"numeric_atoms","value":6399,"base":7}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":2787,"base":7}}},"right_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"numeric_atoms","value":1127,"base":7}}}}},"used_operators":["k4iM1060OG","oDCm7WA9JY","PPChnnnBFF","vEGLkm4Z2k","megm06wKyl","g21JL6JxX7","IGFM8TAlm9"],"dependent_operators":["QvoQhV0rrE","XhwjNDsVaA","3Oe9XWJUTD","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","eH2TOUuTDT","eewbuw0ToL"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=6399","layer":4},{"info":"compute unary expreesion, input=6399, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":3},{"info":"number node, value=2787","layer":4},{"info":"compute unary expreesion, input=2787, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=-21, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=89","layer":2},{"info":"number node, value=1127","layer":4},{"info":"compute unary expreesion, input=1127, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":3},{"info":"compute unary expreesion, input=20, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=89, right_input=nan, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=178","layer":1},{"info":"compute unary expreesion, input=178, op_id = k4iM1060OG, unary_op_definition = 'a∀⊥⇻ = { ((a∠⫱a)/(a⊝⪿⪼a)) }', output=0","layer":0}],"base":7,"result_base":7,"text":"((⨙⪌≴∭⊉24441)∣(⨈⫕≴∭⊉11061)⋻⩜⩜(⨭⩧⫛(⇉-⫰≴∭⊉3200)))∀⊥⇻=≴∭⊉0","reverse_text":"≴∭⊉0=((⨙⪌≴∭⊉24441)∣(⨈⫕≴∭⊉11061)⋻⩜⩜(⨭⩧⫛(⇉-⫰≴∭⊉3200)))∀⊥⇻","cot":[{"info":"⨙⪌≴∭⊉24441=≴∭⊉2350","layer":3},{"info":"⨈⫕≴∭⊉11061=≴∭⊉-30","layer":3},{"info":"≴∭⊉2350∣≴∭⊉-30=≴∭⊉155","layer":2},{"info":"⇉-⫰≴∭⊉3200=≴∭⊉26","layer":3},{"info":"⨭⩧⫛≴∭⊉26=NaN","layer":2},{"info":"≴∭⊉155⋻⩜⩜NaN=≴∭⊉343","layer":1},{"info":"≴∭⊉343∀⊥⇻=≴∭⊉0","layer":0}]}
+{"id":637,"expression_no_base_symbol":"(∐⩳⋚(($3331$⩺⋐⫨)⫌⩉⩟$3914$⫸⊐$6075$))⨸⪁($1242$⪭≯$1249$⋷($3735$⪁$3755$))⊮⊟↴(⇵⪽(⨩∲⋌$1095$))","expression":"(∐⩳⋚((≴∭⊉12466⩺⋐⫨)⫌⩉⩟≴∭⊉14261⫸⊐≴∭⊉23466))⨸⪁(≴∭⊉3423⪭≯≴∭⊉3433⋷(≴∭⊉13614⪁≴∭⊉13643))⊮⊟↴(⇵⪽(⨩∲⋌≴∭⊉3123))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":144730371,"operation_count":11,"complexity_ratio":13157306.454545455,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"unary","operator":"⩺⋐⫨","unary_expr":{"type":"numeric_atoms","value":3331,"base":7}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3914,"base":7},"right_expr":{"type":"numeric_atoms","value":6075,"base":7}}}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":1242,"base":7},"right_expr":{"type":"numeric_atoms","value":1249,"base":7}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":3735,"base":7},"right_expr":{"type":"numeric_atoms","value":3755,"base":7}}},"right_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"numeric_atoms","value":1095,"base":7}}}}},"used_operators":["g55IO6H4Gj","SL6IHkK8vl","XIIwhv8d0m","yS9ePUuUdn","mqXw5SEYmG","QDVgd2eftb","23Mk6UjR3U","XAx5wpdLa6","I7sXao9hZE","ZGCBLdVRRX","aSik1wnThz"],"dependent_operators":["W4YGzv6Whe","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","9samAPKr6k","j9kHMeSvPp","Tcnh7f0tEr","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","U7g4x0WXJJ","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3331","layer":4},{"info":"compute unary expreesion, input=3331, op_id = yS9ePUuUdn, unary_op_definition = 'a⩺⋐⫨ = { ((a≣⋋)⨽∌(a⪭a)) }', output=0","layer":3},{"info":"number node, value=3914","layer":4},{"info":"number node, value=6075","layer":4},{"info":"compute binary expreesion, left_input=3914, right_input=6075, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)���↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=24175","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=24175, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":2},{"info":"compute unary expreesion, input=-50, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=-42794","layer":1},{"info":"number node, value=1242","layer":4},{"info":"number node, value=1249","layer":4},{"info":"compute binary expreesion, left_input=1242, right_input=1249, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"number node, value=3735","layer":4},{"info":"number node, value=3755","layer":4},{"info":"compute binary expreesion, left_input=3735, right_input=3755, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":2},{"info":"number node, value=1095","layer":4},{"info":"compute unary expreesion, input=1095, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-1618","layer":3},{"info":"compute unary expreesion, input=-1618, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-42794, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(∐⩳⋚((≴∭⊉12466⩺⋐⫨)⫌⩉⩟≴∭⊉14261⫸⊐≴∭⊉23466))⨸⪁(≴∭⊉3423⪭≯≴∭⊉3433⋷(≴∭⊉13614⪁≴∭⊉13643))⊮⊟↴(⇵⪽(⨩∲⋌≴∭⊉3123))=NaN","reverse_text":"NaN=(∐⩳⋚((≴∭⊉12466⩺⋐⫨)⫌⩉⩟≴∭⊉14261⫸⊐≴∭⊉23466))⨸⪁(≴∭⊉3423⪭≯≴∭⊉3433⋷(≴∭⊉13614⪁≴∭⊉13643))⊮⊟↴(⇵⪽(⨩∲⋌≴∭⊉3123))","cot":[{"info":"≴∭⊉12466⩺⋐⫨=≴∭⊉0","layer":3},{"info":"≴∭⊉14261⫸⊐≴∭⊉23466=≴∭⊉130324","layer":3},{"info":"≴∭⊉0⫌⩉⩟≴∭⊉130324=≴∭⊉-101","layer":2},{"info":"∐⩳⋚≴∭⊉-101=≴∭⊉-235523","layer":1},{"info":"≴∭⊉3423⪭≯≴∭⊉3433=NaN","layer":3},{"info":"≴∭⊉13614⪁≴∭⊉13643=NaN","layer":3},{"info":"NaN⋷NaN=NaN","layer":2},{"info":"⨩∲⋌≴∭⊉3123=≴∭⊉-4501","layer":3},{"info":"⇵⪽≴∭⊉-4501=NaN","layer":2},{"info":"NaN⊮⊟↴NaN=NaN","layer":1},{"info":"≴∭⊉-235523⨸⪁NaN=NaN","layer":0}]}
+{"id":638,"expression_no_base_symbol":"((($5105$⨵⪆$1147$)⨚($2097$⋭≵$1229$))⋛(⊁⨺($3423$+$2611$)))⇡⇂((⋃$7958$)⫦⪉$5144$≀⫉$3430$⋻⩜⩜((⋣$1761$)⫚⫇))","expression":"(((≴∭⊉20612⨵⪆≴∭⊉3226)⨚(≴∭⊉6054⋭≵≴∭⊉3404))⋛(⊁⨺(≴∭⊉12660+≴∭⊉10420)))⇡⇂((⋃≴∭⊉32126)⫦⪉≴∭⊉20666≀⫉≴∭⊉13000⋻⩜⩜((⋣≴∭⊉5064)⫚⫇))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":8441,"operation_count":13,"complexity_ratio":649.3076923076923,"tree":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":5105,"base":7},"right_expr":{"type":"numeric_atoms","value":1147,"base":7}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":2097,"base":7},"right_expr":{"type":"numeric_atoms","value":1229,"base":7}}},"right_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":3423,"base":7},"right_expr":{"type":"numeric_atoms","value":2611,"base":7}}}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"numeric_atoms","value":7958,"base":7}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":5144,"base":7},"right_expr":{"type":"numeric_atoms","value":3430,"base":7}}},"right_expr":{"type":"unary","operator":"⫚⫇","unary_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"numeric_atoms","value":1761,"base":7}}}}},"used_operators":["UMwdvZNt44","YbUVn0Rbpy","nREPSIbpBE","2DQ55sFlQl","jBncVCNhdl","PxiHyQbrIp","W4YGzv6Whe","oDCm7WA9JY","wscyQdcy20","3mBM5G4a3l","oZj3VtZNQx","SdCjLnB6rR","zQWRhDnn8F"],"dependent_operators":["9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","BjRHVeLaeN","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","g55IO6H4Gj","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","2td37pGCOC","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5105","layer":4},{"info":"number node, value=1147","layer":4},{"info":"compute binary expreesion, left_input=5105, right_input=1147, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=2097","layer":4},{"info":"number node, value=1229","layer":4},{"info":"compute binary expreesion, left_input=2097, right_input=1229, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=67, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=986","layer":2},{"info":"number node, value=3423","layer":4},{"info":"number node, value=2611","layer":4},{"info":"compute binary expreesion, left_input=3423, right_input=2611, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6034","layer":3},{"info":"compute unary expreesion, input=6034, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=986, right_input=160, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-123318","layer":1},{"info":"number node, value=7958","layer":4},{"info":"compute unary expreesion, input=7958, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=16018","layer":3},{"info":"number node, value=5144","layer":4},{"info":"number node, value=3430","layer":4},{"info":"compute binary expreesion, left_input=5144, right_input=3430, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"compute binary expreesion, left_input=16018, right_input=2822, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-27136","layer":2},{"info":"number node, value=1761","layer":4},{"info":"compute unary expreesion, input=1761, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-517639","layer":3},{"info":"compute unary expreesion, input=-517639, op_id = SdCjLnB6rR, unary_op_definition = 'a⫚⫇ = { ((⨞⊢87)⨸⪁((⩦⩻⨪a)≧⫂∧a)) }', output=-522","layer":2},{"info":"compute binary expreesion, left_input=-27136, right_input=-522, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-123318, right_input=nan, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(((≴∭⊉20612⨵⪆≴∭⊉3226)⨚(≴∭⊉6054⋭≵≴∭⊉3404))⋛(⊁⨺(≴∭⊉12660+≴∭⊉10420)))⇡⇂((⋃≴∭⊉32126)⫦⪉≴∭⊉20666≀⫉≴∭⊉13000⋻⩜⩜((⋣≴∭⊉5064)⫚⫇))=NaN","reverse_text":"NaN=(((≴∭⊉20612⨵⪆≴∭⊉3226)⨚(≴∭⊉6054⋭≵≴∭⊉3404))⋛(⊁⨺(≴∭⊉12660+≴∭⊉10420)))⇡⇂((⋃≴∭⊉32126)⫦⪉≴∭⊉20666≀⫉≴∭⊉13000⋻⩜⩜((⋣≴∭⊉5064)⫚⫇))","cot":[{"info":"≴∭⊉20612⨵⪆≴∭⊉3226=≴∭⊉316","layer":3},{"info":"≴∭⊉6054⋭≵≴∭⊉3404=≴∭⊉124","layer":3},{"info":"≴∭⊉316⨚≴∭⊉124=≴∭⊉2606","layer":2},{"info":"≴∭⊉12660+≴∭⊉10420=≴∭⊉23410","layer":3},{"info":"⊁⨺≴∭⊉23410=≴∭⊉316","layer":2},{"info":"≴∭⊉2606⋛≴∭⊉316=≴∭⊉-1022346","layer":1},{"info":"⋃≴∭⊉32126=≴∭⊉64462","layer":3},{"info":"≴∭⊉20666≀⫉≴∭⊉13000=≴∭⊉11141","layer":3},{"info":"≴∭⊉64462⫦⪉≴∭⊉11141=≴∭⊉-142054","layer":2},{"info":"⋣≴∭⊉5064=≴∭⊉-4254103","layer":3},{"info":"≴∭⊉-4254103⫚⫇=≴∭⊉-1344","layer":2},{"info":"≴∭⊉-142054⋻⩜⩜≴∭⊉-1344=NaN","layer":1},{"info":"≴∭⊉-1022346⇡⇂NaN=NaN","layer":0}]}
+{"id":639,"expression_no_base_symbol":"(⊊≼∋($2807$≨$2758$⊔$2459$⇤$3631$))∇⊂⋱(⪭⩑⪱(($4171$⫡⨏$2722$)⨸⪁$3689$⇍⊗$1996$))","expression":"(⊊≼∋(≴∭⊉11120≨≴∭⊉11020⊔≴∭⊉10112⇤≴∭⊉13405))∇⊂⋱(⪭⩑⪱((≴∭⊉15106⫡⨏≴∭⊉10636)⨸⪁≴∭⊉13520⇍⊗≴∭⊉5551))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":13553883,"operation_count":9,"complexity_ratio":1505987.0,"tree":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":2807,"base":7},"right_expr":{"type":"numeric_atoms","value":2758,"base":7}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":2459,"base":7},"right_expr":{"type":"numeric_atoms","value":3631,"base":7}}}},"right_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":4171,"base":7},"right_expr":{"type":"numeric_atoms","value":2722,"base":7}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":3689,"base":7},"right_expr":{"type":"numeric_atoms","value":1996,"base":7}}}}},"used_operators":["nhYeJWJD5X","FWz7pXsQhA","E4l6HwMY31","0KMCeP1Jsh","YSKBFp38Pu","SIgE0bArFf","g55IO6H4Gj","QMFrweE19q","5uvYHDjeKN"],"dependent_operators":["P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","B5M0gjZbta","jCPkEVoL5K","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o"],"result":"≴∭⊉-261310335","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2807","layer":4},{"info":"number node, value=2758","layer":4},{"info":"compute binary expreesion, left_input=2807, right_input=2758, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-25594","layer":3},{"info":"number node, value=2459","layer":4},{"info":"number node, value=3631","layer":4},{"info":"compute binary expreesion, left_input=2459, right_input=3631, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-27602","layer":3},{"info":"compute binary expreesion, left_input=-25594, right_input=-27602, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=158235","layer":2},{"info":"compute unary expreesion, input=158235, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=-447","layer":1},{"info":"number node, value=4171","layer":4},{"info":"number node, value=2722","layer":4},{"info":"compute binary expreesion, left_input=4171, right_input=2722, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=27082","layer":3},{"info":"number node, value=3689","layer":4},{"info":"number node, value=1996","layer":4},{"info":"compute binary expreesion, left_input=3689, right_input=1996, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"compute binary expreesion, left_input=27082, right_input=-244, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=53676","layer":2},{"info":"compute unary expreesion, input=53676, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":1},{"info":"compute binary expreesion, left_input=-447, right_input=8320752, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=-16641504","layer":0}],"base":7,"result_base":7,"text":"(⊊≼∋(≴∭⊉11120≨≴∭⊉11020⊔≴∭⊉10112⇤≴∭⊉13405))∇⊂⋱(⪭⩑⪱((≴∭⊉15106⫡⨏≴∭⊉10636)⨸⪁≴∭⊉13520⇍⊗≴∭⊉5551))=≴∭⊉-261310335","reverse_text":"≴∭⊉-261310335=(⊊≼∋(≴∭⊉11120≨≴∭⊉11020⊔≴∭⊉10112⇤≴∭⊉13405))∇⊂⋱(⪭⩑⪱((≴∭⊉15106⫡⨏≴∭⊉10636)⨸⪁≴∭⊉13520⇍⊗≴∭⊉5551))","cot":[{"info":"≴∭⊉11120≨≴∭⊉11020=≴∭⊉-134422","layer":3},{"info":"≴∭⊉10112⇤≴∭⊉13405=≴∭⊉-143321","layer":3},{"info":"≴∭⊉-134422⊔≴∭⊉-143321=≴∭⊉1226220","layer":2},{"info":"⊊≼∋≴∭⊉1226220=≴∭⊉-1206","layer":1},{"info":"≴∭⊉15106⫡⨏≴∭⊉10636=≴∭⊉141646","layer":3},{"info":"≴∭⊉13520⇍⊗≴∭⊉5551=≴∭⊉-466","layer":3},{"info":"≴∭⊉141646⨸⪁≴∭⊉-466=≴∭⊉312330","layer":2},{"info":"⪭⩑⪱≴∭⊉312330=≴∭⊉130503516","layer":1},{"info":"≴∭⊉-1206∇⊂⋱≴∭⊉130503516=≴∭⊉-261310335","layer":0}]}
+{"id":640,"expression_no_base_symbol":"(⪡⇡≛(($1059$⨘⋶⪀)∋($2575$⪮%⊝$6519$)))↢(⪛⨧$2535$⫘$1067$)⫣⪄⊒(⪨⨬(⫇$2857$))","expression":"(⪡⇡≛((≴∭⊉3042⨘⋶⪀)∋(≴∭⊉10336⪮%⊝≴∭⊉25002)))↢(⪛⨧≴∭⊉10251⫘≴∭⊉3053)⫣⪄⊒(⪨⨬(⫇≴∭⊉11221))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3088,"operation_count":10,"complexity_ratio":308.8,"tree":{"type":"binary","operator":"↢","left_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"binary","operator":"∋","left_expr":{"type":"unary","operator":"⨘⋶⪀","unary_expr":{"type":"numeric_atoms","value":1059,"base":7}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2575,"base":7},"right_expr":{"type":"numeric_atoms","value":6519,"base":7}}}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":2535,"base":7},"right_expr":{"type":"numeric_atoms","value":1067,"base":7}}},"right_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"numeric_atoms","value":2857,"base":7}}}}},"used_operators":["WR6HLWljOP","qL4PrbW1Dq","ukq6epAj5P","XVKwrhznBb","IWmyXbctLI","RabNbG55vr","6NJAcO2OWT","48vC8HMD2b","5obUd6DV38","YjI8oCXuph"],"dependent_operators":["eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","TpPTUOHfaN","FyVja0WsTP","UqFzSgLMvQ","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","T2fj7uvVaJ","nlCqmYiOvY","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1059","layer":4},{"info":"compute unary expreesion, input=1059, op_id = XVKwrhznBb, unary_op_definition = 'a⨘⋶⪀ = { ((326+⇶⊼a)⊱⇼⊻(a⇡)) }', output=nan","layer":3},{"info":"number node, value=2575","layer":4},{"info":"number node, value=6519","layer":4},{"info":"compute binary expreesion, left_input=2575, right_input=6519, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=5466","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5466, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=nan","layer":1},{"info":"number node, value=2535","layer":4},{"info":"number node, value=1067","layer":4},{"info":"compute binary expreesion, left_input=2535, right_input=1067, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=2985565","layer":3},{"info":"compute unary expreesion, input=2985565, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=5972531","layer":2},{"info":"number node, value=2857","layer":4},{"info":"compute unary expreesion, input=2857, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-4500","layer":3},{"info":"compute unary expreesion, input=-4500, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":2},{"info":"compute binary expreesion, left_input=5972531, right_input=-526, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153��a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(⪡⇡≛((≴∭⊉3042⨘⋶⪀)∋(≴∭⊉10336⪮%⊝≴∭⊉25002)))↢(⪛⨧≴∭⊉10251⫘≴∭⊉3053)⫣⪄⊒(⪨⨬(⫇≴∭⊉11221))=NaN","reverse_text":"NaN=(⪡⇡≛((≴∭⊉3042⨘⋶⪀)∋(≴∭⊉10336⪮%⊝≴∭⊉25002)))↢(⪛⨧≴∭⊉10251⫘≴∭⊉3053)⫣⪄⊒(⪨⨬(⫇≴∭⊉11221))","cot":[{"info":"≴∭⊉3042⨘⋶⪀=NaN","layer":3},{"info":"≴∭⊉10336⪮%⊝≴∭⊉25002=≴∭⊉21636","layer":3},{"info":"NaN∋≴∭⊉21636=NaN","layer":2},{"info":"⪡⇡≛NaN=NaN","layer":1},{"info":"≴∭⊉10251⫘≴∭⊉3053=≴∭⊉34243162","layer":3},{"info":"⪛⨧≴∭⊉34243162=≴∭⊉101523425","layer":2},{"info":"⫇≴∭⊉11221=≴∭⊉-16056","layer":3},{"info":"⪨⨬≴∭⊉-16056=≴∭⊉-1351","layer":2},{"info":"≴∭⊉101523425⫣⪄⊒≴∭⊉-1351=≴∭⊉316","layer":1},{"info":"NaN↢≴∭⊉316=NaN","layer":0}]}
+{"id":641,"expression_no_base_symbol":"⩦⊞($1394$∛$8261$⩵∡$5576$⩣⫁∢$5052$)⫣⪄⊒(∨∊⋏($1171$⨸$1331$))","expression":"⩦⊞(≴∭⊉4031∛≴∭⊉33041⩵∡≴∭⊉22154⩣⫁∢≴∭⊉20505)⫣⪄⊒(∨∊⋏(≴∭⊉3262⨸≴∭⊉3611))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1507,"operation_count":7,"complexity_ratio":215.28571428571428,"tree":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":1394,"base":7},"right_expr":{"type":"numeric_atoms","value":8261,"base":7}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":5576,"base":7},"right_expr":{"type":"numeric_atoms","value":5052,"base":7}}},"right_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":1171,"base":7},"right_expr":{"type":"numeric_atoms","value":1331,"base":7}}}}},"used_operators":["u7fv1HBiaC","RabNbG55vr","Y7wcNGrDQJ","w2537kitQq","JDUIKTTSIa","R5aXW34M0v","KmoU8R5UQR"],"dependent_operators":["eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","NTOWxs364D","glklzrTFfD","tifHPKVTfV","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl"],"result":"≴∭⊉-206316","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1394","layer":4},{"info":"number node, value=8261","layer":4},{"info":"compute binary expreesion, left_input=1394, right_input=8261, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"number node, value=5576","layer":4},{"info":"number node, value=5052","layer":4},{"info":"compute binary expreesion, left_input=5576, right_input=5052, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-10991","layer":3},{"info":"compute binary expreesion, left_input=-670, right_input=-10991, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-9102","layer":2},{"info":"number node, value=1171","layer":4},{"info":"number node, value=1331","layer":4},{"info":"compute binary expreesion, left_input=1171, right_input=1331, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=2342","layer":3},{"info":"compute unary expreesion, input=2342, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=43007","layer":2},{"info":"compute binary expreesion, left_input=-9102, right_input=43007, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-17888","layer":1},{"info":"compute unary expreesion, input=-17888, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-35832","layer":0}],"base":7,"result_base":7,"text":"⩦⊞(≴∭⊉4031∛≴∭⊉33041⩵∡≴∭⊉22154⩣⫁∢≴∭⊉20505)⫣⪄⊒(∨∊⋏(≴∭⊉3262⨸≴∭⊉3611))=≴∭⊉-206316","reverse_text":"≴∭⊉-206316=⩦⊞(≴∭⊉4031∛≴∭⊉33041⩵∡≴∭⊉22154⩣⫁∢≴∭⊉20505)⫣⪄⊒(∨∊⋏(≴∭⊉3262⨸≴∭⊉3611))","cot":[{"info":"≴∭⊉4031∛≴∭⊉33041=≴∭⊉-1645","layer":3},{"info":"≴∭⊉22154⩣⫁∢≴∭⊉20505=≴∭⊉-44021","layer":3},{"info":"≴∭⊉-1645⩵∡≴∭⊉-44021=≴∭⊉-35352","layer":2},{"info":"≴∭⊉3262⨸≴∭⊉3611=≴∭⊉6554","layer":3},{"info":"∨∊⋏≴∭⊉6554=≴∭⊉236246","layer":2},{"info":"≴∭⊉-35352⫣⪄⊒≴∭⊉236246=≴∭⊉-103103","layer":1},{"info":"⩦⊞≴∭⊉-103103=≴∭⊉-206316","layer":0}]}
+{"id":642,"expression_no_base_symbol":"(($1566$↳≱$5535$)⨿($2274$⪄$3054$)∖$3147$⇴$5257$⩷∴$1234$⋾⨃∁$2649$)↞⋁(($2442$⨼⩣$1051$⫃⨇$3786$⇷$6179$)⩚⊴⇥(⨛$2524$)⇌⫙⪟(⋗⩴⪓$8151$))","expression":"((≴∭⊉4365↳≱≴∭⊉22065)⨿(≴∭⊉6426⪄≴∭⊉11622)∖≴∭⊉12114⇴≴∭⊉21220⩷∴≴∭⊉3412⋾⨃∁≴∭⊉10503)↞⋁((≴∭⊉10056⨼⩣≴∭⊉3031⫃⨇≴∭⊉14016⇷≴∭⊉24005)⩚⊴⇥(⨛≴∭⊉10234)⇌⫙⪟(⋗⩴⪓≴∭⊉32523))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":80359,"operation_count":15,"complexity_ratio":5357.266666666666,"tree":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":1566,"base":7},"right_expr":{"type":"numeric_atoms","value":5535,"base":7}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2274,"base":7},"right_expr":{"type":"numeric_atoms","value":3054,"base":7}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":3147,"base":7},"right_expr":{"type":"numeric_atoms","value":5257,"base":7}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":1234,"base":7},"right_expr":{"type":"numeric_atoms","value":2649,"base":7}}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":2442,"base":7},"right_expr":{"type":"numeric_atoms","value":1051,"base":7}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3786,"base":7},"right_expr":{"type":"numeric_atoms","value":6179,"base":7}}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"numeric_atoms","value":2524,"base":7}},"right_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"numeric_atoms","value":8151,"base":7}}}}},"used_operators":["RqrPlJkxDo","tXD093vOjl","abYXlopdE0","JwTKLfZU96","SUmda5xLS4","9FxExcQeMw","4JB6nKBMSY","212REbPD9h","NTOWxs364D","09Ly4LVMIf","JxwMv5le6e","mp7IySMOzn","AFVx7xoS7T","CoMdbyAt7R","nOKPl9n5zu"],"dependent_operators":["Uaa54Peajs","CArV6hThFE","13rbtpv6ld","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","sdazOOVcIp","NTOWxs364D","COABgblf1C","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1566","layer":4},{"info":"number node, value=5535","layer":4},{"info":"compute binary expreesion, left_input=1566, right_input=5535, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"number node, value=2274","layer":4},{"info":"number node, value=3054","layer":4},{"info":"compute binary expreesion, left_input=2274, right_input=3054, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-344857","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-344857, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=121","layer":2},{"info":"number node, value=3147","layer":4},{"info":"number node, value=5257","layer":4},{"info":"compute binary expreesion, left_input=3147, right_input=5257, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=29010","layer":3},{"info":"number node, value=1234","layer":4},{"info":"number node, value=2649","layer":4},{"info":"compute binary expreesion, left_input=1234, right_input=2649, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=70140128","layer":3},{"info":"compute binary expreesion, left_input=29010, right_input=70140128, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-140222268","layer":2},{"info":"compute binary expreesion, left_input=121, right_input=-140222268, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=6","layer":1},{"info":"number node, value=2442","layer":4},{"info":"number node, value=1051","layer":4},{"info":"compute binary expreesion, left_input=2442, right_input=1051, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"number node, value=3786","layer":4},{"info":"number node, value=6179","layer":4},{"info":"compute binary expreesion, left_input=3786, right_input=6179, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=12358","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=12358, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=nan","layer":2},{"info":"number node, value=2524","layer":4},{"info":"compute unary expreesion, input=2524, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":3},{"info":"number node, value=8151","layer":4},{"info":"compute unary expreesion, input=8151, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=-7238","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-7238, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=6, right_input=nan, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉4365↳≱≴∭⊉22065)⨿(≴∭⊉6426⪄≴∭⊉11622)∖≴∭⊉12114⇴≴∭⊉21220⩷∴≴∭⊉3412⋾⨃∁≴∭⊉10503)↞⋁((≴∭⊉10056⨼⩣≴∭⊉3031⫃⨇≴∭⊉14016⇷≴∭⊉24005)⩚⊴⇥(⨛≴∭⊉10234)⇌⫙⪟(⋗⩴⪓≴∭⊉32523))=NaN","reverse_text":"NaN=((≴∭⊉4365↳≱≴∭⊉22065)⨿(≴∭⊉6426⪄≴∭⊉11622)∖≴∭⊉12114⇴≴∭⊉21220⩷∴≴∭⊉3412⋾⨃∁≴∭⊉10503)↞⋁((≴∭⊉10056⨼⩣≴∭⊉3031⫃⨇≴∭⊉14016⇷≴∭⊉24005)⩚⊴⇥(⨛≴∭⊉10234)⇌⫙⪟(⋗⩴⪓≴∭⊉32523))","cot":[{"info":"≴∭⊉4365↳≱≴∭⊉22065=≴∭⊉0","layer":3},{"info":"≴∭⊉6426⪄≴∭⊉11622=≴∭⊉-2634262","layer":3},{"info":"≴∭⊉0⨿≴∭⊉-2634262=≴∭⊉232","layer":2},{"info":"≴∭⊉12114⇴≴∭⊉21220=≴∭⊉150402","layer":3},{"info":"≴∭⊉3412⋾⨃∁≴∭⊉10503=≴∭⊉1511116112","layer":3},{"info":"≴∭⊉150402⩷∴≴∭⊉1511116112=≴∭⊉-3321604164","layer":2},{"info":"≴∭⊉232∖≴∭⊉-3321604164=≴∭⊉6","layer":1},{"info":"≴∭⊉10056⨼⩣≴∭⊉3031=NaN","layer":3},{"info":"≴∭⊉14016⇷≴∭⊉24005=≴∭⊉51013","layer":3},{"info":"NaN⫃⨇≴∭⊉51013=NaN","layer":2},{"info":"⨛≴∭⊉10234=NaN","layer":3},{"info":"⋗⩴⪓≴∭⊉32523=≴∭⊉-30050","layer":3},{"info":"NaN⇌⫙⪟≴∭⊉-30050=NaN","layer":2},{"info":"NaN⩚⊴⇥NaN=NaN","layer":1},{"info":"≴∭⊉6↞⋁NaN=NaN","layer":0}]}
+{"id":643,"expression_no_base_symbol":"($1342$⫉⨲⊜$3532$)≦↸($5049$↢$1216$)↡⊰⫅($6846$⪛⫼$3262$)⨭⪣(≻⋜$1090$)⋻⩜⩜($4451$⪒⊣⊆$7675$∝(⨮↦↱$1019$)⊍⩺⋍(⇐($1163$⊨$3658$)))","expression":"(≴∭⊉3625⫉⨲⊜≴∭⊉13204)≦↸(≴∭⊉20502↢≴∭⊉3355)↡⊰⫅(≴∭⊉25650⪛⫼≴∭⊉12340)⨭⪣(≻⋜≴∭⊉3115)⋻⩜⩜(≴∭⊉15656⪒⊣⊆≴∭⊉31243∝(⨮↦↱≴∭⊉2654)⊍⩺⋍(⇐(≴∭⊉3251⊨≴∭⊉13444)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":7611,"operation_count":14,"complexity_ratio":543.6428571428571,"tree":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":1342,"base":7},"right_expr":{"type":"numeric_atoms","value":3532,"base":7}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":5049,"base":7},"right_expr":{"type":"numeric_atoms","value":1216,"base":7}}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":6846,"base":7},"right_expr":{"type":"numeric_atoms","value":3262,"base":7}},"right_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"numeric_atoms","value":1090,"base":7}}}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":4451,"base":7},"right_expr":{"type":"numeric_atoms","value":7675,"base":7}},"right_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"numeric_atoms","value":1019,"base":7}}},"right_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":1163,"base":7},"right_expr":{"type":"numeric_atoms","value":3658,"base":7}}}}},"used_operators":["oDCm7WA9JY","VCtxkLNOzz","RygbFNSyEJ","WhqkvtTD3t","WR6HLWljOP","kn8WO9XteQ","hyuBjUqXlG","3tj9sqzovi","OXDGMFPWZM","cTDWOvIxvz","eRqsBgTDFp","sYcpBQ0cFf","nmZMaaE0Q9","vg4gO5BX6G"],"dependent_operators":["mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","zVYPLywUTj","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","7j4O788W3g","W4YGzv6Whe","COABgblf1C","sdazOOVcIp","W4YGzv6Whe","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP"],"result":"≴∭⊉-150","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1342","layer":4},{"info":"number node, value=3532","layer":4},{"info":"compute binary expreesion, left_input=1342, right_input=3532, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"number node, value=5049","layer":4},{"info":"number node, value=1216","layer":4},{"info":"compute binary expreesion, left_input=5049, right_input=1216, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=4565","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=4565, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-8449","layer":2},{"info":"number node, value=6846","layer":4},{"info":"number node, value=3262","layer":4},{"info":"compute binary expreesion, left_input=6846, right_input=3262, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":3},{"info":"number node, value=1090","layer":4},{"info":"compute unary expreesion, input=1090, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=968, right_input=nan, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-21","layer":2},{"info":"compute binary expreesion, left_input=-8449, right_input=-21, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=-42","layer":1},{"info":"number node, value=4451","layer":4},{"info":"number node, value=7675","layer":4},{"info":"compute binary expreesion, left_input=4451, right_input=7675, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=8902","layer":3},{"info":"number node, value=1019","layer":4},{"info":"compute unary expreesion, input=1019, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-816351","layer":3},{"info":"compute binary expreesion, left_input=8902, right_input=-816351, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=8907","layer":2},{"info":"number node, value=1163","layer":4},{"info":"number node, value=3658","layer":4},{"info":"compute binary expreesion, left_input=1163, right_input=3658, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=5683","layer":3},{"info":"compute unary expreesion, input=5683, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=460","layer":2},{"info":"compute binary expreesion, left_input=8907, right_input=460, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-42, right_input=nan, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=-84","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉3625⫉⨲⊜≴∭⊉13204)≦↸(≴∭⊉20502↢≴∭⊉3355)↡⊰⫅(≴∭⊉25650⪛⫼≴∭⊉12340)⨭⪣(≻⋜≴∭⊉3115)⋻⩜⩜(≴∭⊉15656⪒⊣⊆≴∭⊉31243∝(⨮↦↱≴∭⊉2654)⊍⩺⋍(⇐(≴∭⊉3251⊨≴∭⊉13444)))=≴∭⊉-150","reverse_text":"≴∭⊉-150=(≴∭⊉3625⫉⨲⊜≴∭⊉13204)≦↸(≴∭⊉20502↢≴∭⊉3355)↡⊰⫅(≴∭⊉25650⪛⫼≴∭⊉12340)⨭⪣(≻⋜≴∭⊉3115)⋻⩜⩜(≴∭⊉15656⪒⊣⊆≴∭⊉31243∝(⨮↦↱≴∭⊉2654)⊍⩺⋍(⇐(≴∭⊉3251⊨≴∭⊉13444)))","cot":[{"info":"≴∭⊉3625⫉⨲⊜≴∭⊉13204=≴∭⊉0","layer":3},{"info":"≴∭⊉20502↢≴∭⊉3355=≴∭⊉16211","layer":3},{"info":"≴∭⊉0≦↸≴∭⊉16211=≴∭⊉-33430","layer":2},{"info":"≴∭⊉25650⪛⫼≴∭⊉12340=≴∭⊉2552","layer":3},{"info":"≻⋜≴∭⊉3115=NaN","layer":3},{"info":"≴∭⊉2552⨭⪣NaN=≴∭⊉-30","layer":2},{"info":"≴∭⊉-33430↡⊰⫅≴∭⊉-30=≴∭⊉-60","layer":1},{"info":"≴∭⊉15656⪒⊣⊆≴∭⊉31243=≴∭⊉34645","layer":3},{"info":"⨮↦↱≴∭⊉2654=≴∭⊉-6640014","layer":3},{"info":"≴∭⊉34645∝≴∭⊉-6640014=≴∭⊉34653","layer":2},{"info":"≴∭⊉3251⊨≴∭⊉13444=≴∭⊉22366","layer":3},{"info":"⇐≴∭⊉22366=≴∭⊉1225","layer":2},{"info":"≴∭⊉34653⊍⩺⋍≴∭⊉1225=NaN","layer":1},{"info":"≴∭⊉-60⋻⩜⩜NaN=≴∭⊉-150","layer":0}]}
+{"id":644,"expression_no_base_symbol":"($7050$+⇶⊼$8337$⪨≂$5413$⩘$1207$/(($1002$⊍⩺⋍$1337$)⨲∙))∘((⩪∧⨌$3080$+⪬∐$2469$)⨪↰⇹($1106$⋥⋵⩄$1597$⩟))","expression":"(≴∭⊉26361+⇶⊼≴∭⊉33210⪨≂≴∭⊉21532⩘≴∭⊉3343/((≴∭⊉2631⊍⩺⋍≴∭⊉3620)⨲∙))∘((⩪∧⨌≴∭⊉11660+⪬∐≴∭⊉10125)⨪↰⇹(≴∭⊉3140⋥⋵⩄≴∭⊉4441⩟))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":92958,"operation_count":12,"complexity_ratio":7746.5,"tree":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":7050,"base":7},"right_expr":{"type":"numeric_atoms","value":8337,"base":7}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":5413,"base":7},"right_expr":{"type":"numeric_atoms","value":1207,"base":7}}},"right_expr":{"type":"unary","operator":"⨲∙","unary_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":1002,"base":7},"right_expr":{"type":"numeric_atoms","value":1337,"base":7}}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":3080,"base":7},"right_expr":{"type":"numeric_atoms","value":2469,"base":7}}},"right_expr":{"type":"unary","operator":"⩟","unary_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":1106,"base":7},"right_expr":{"type":"numeric_atoms","value":1597,"base":7}}}}},"used_operators":["Z5m6OM72h2","XhwjNDsVaA","sdazOOVcIp","TpPTUOHfaN","cHh1gJQ2o6","cRahaglYVE","OXDGMFPWZM","tmPS8pqC7x","6iOiAJX1F8","2GS7woTJqF","fOIeswaMU4","7t3wd0Fuz7"],"dependent_operators":["eH2TOUuTDT","rysDP5nf3Z","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","XGcMNugi78","zR4jO40bMj","mp7IySMOzn","bJkvcejdHO","grXIztHqDa","dWAJyo7jo9","DmTXOeWf9t","g55IO6H4Gj","D4vGDi5EA2","A8NUZmVepG","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","rJVOvQCfKK","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","g55IO6H4Gj","D4vGDi5EA2","W4YGzv6Whe","Qy55tPpLXF","8w2t5hMYqp","12rbrZMWeM","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=7050","layer":4},{"info":"number node, value=8337","layer":4},{"info":"compute binary expreesion, left_input=7050, right_input=8337, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=5413","layer":4},{"info":"number node, value=1207","layer":4},{"info":"compute binary expreesion, left_input=5413, right_input=1207, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":2},{"info":"number node, value=1002","layer":4},{"info":"number node, value=1337","layer":4},{"info":"compute binary expreesion, left_input=1002, right_input=1337, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = cRahaglYVE, unary_op_definition = 'a⨲∙ = { ((a⪢(a⇷a))⪶≀⋏(↥(30⫞⩸⩒376))) , if (a≦≮≮)>473 ; (121⨸⪁((a⊲⩕⊾a)≎⊠⪸(28⪃↞⩐))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=3080","layer":4},{"info":"number node, value=2469","layer":4},{"info":"compute binary expreesion, left_input=3080, right_input=2469, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-9240","layer":3},{"info":"compute unary expreesion, input=-9240, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=-92400","layer":2},{"info":"number node, value=1106","layer":4},{"info":"number node, value=1597","layer":4},{"info":"compute binary expreesion, left_input=1106, right_input=1597, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"compute unary expreesion, input=113, op_id = fOIeswaMU4, unary_op_definition = 'a⩟ = { (⊄⩳↩((a⋳⪒a)+(155⋥≓≎a))) }', output=210","layer":2},{"info":"compute binary expreesion, left_input=-92400, right_input=210, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=-92400","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-92400, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉26361+⇶⊼≴∭⊉33210⪨≂≴∭⊉21532⩘≴∭⊉3343/((≴∭⊉2631⊍⩺⋍≴∭⊉3620)⨲∙))∘((⩪∧⨌≴∭⊉11660+⪬∐≴∭⊉10125)⨪↰⇹(≴∭⊉3140⋥⋵⩄≴∭⊉4441⩟))=NaN","reverse_text":"NaN=(≴∭⊉26361+⇶⊼≴∭⊉33210⪨≂≴∭⊉21532⩘≴∭⊉3343/((≴∭⊉2631⊍⩺⋍≴∭⊉3620)⨲∙))∘((⩪∧⨌≴∭⊉11660+⪬∐≴∭⊉10125)⨪↰⇹(≴∭⊉3140⋥⋵⩄≴∭⊉4441⩟))","cot":[{"info":"≴∭⊉26361+⇶⊼≴∭⊉33210=NaN","layer":3},{"info":"≴∭⊉21532⩘≴∭⊉3343=≴∭⊉316","layer":3},{"info":"NaN⪨≂≴∭⊉316=NaN","layer":2},{"info":"≴∭⊉2631⊍⩺⋍≴∭⊉3620=NaN","layer":3},{"info":"NaN⨲∙=NaN","layer":2},{"info":"NaN/NaN=NaN","layer":1},{"info":"≴∭⊉11660+⪬∐≴∭⊉10125=≴∭⊉-35640","layer":3},{"info":"⩪∧⨌≴∭⊉-35640=≴∭⊉-533250","layer":2},{"info":"≴∭⊉3140⋥⋵⩄≴∭⊉4441=≴∭⊉221","layer":3},{"info":"≴∭⊉221⩟=≴∭⊉420","layer":2},{"info":"≴∭⊉-533250⨪↰⇹≴∭⊉420=≴∭⊉-533250","layer":1},{"info":"NaN∘≴∭⊉-533250=NaN","layer":0}]}
+{"id":645,"expression_no_base_symbol":"($1103$⩁⩘$1920$)↹⊜($4528$⨟⋌⩍$2982$)∇⊂⋱($1303$⨼⩣$3420$⊴($5528$↱$1900$))⇍⊗(((⊢≑≆$1011$)⇄$2343$⪕$8336$)≦≮≮)","expression":"(≴∭⊉3134⩁⩘≴∭⊉5412)↹⊜(≴∭⊉16126⨟⋌⩍≴∭⊉11460)∇⊂⋱(≴∭⊉3541⨼⩣≴∭⊉12654⊴(≴∭⊉22055↱≴∭⊉5353))⇍⊗(((⊢≑≆≴∭⊉2643)⇄≴∭⊉6555⪕≴∭⊉33206)≦≮≮)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":6142,"operation_count":12,"complexity_ratio":511.8333333333333,"tree":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":1103,"base":7},"right_expr":{"type":"numeric_atoms","value":1920,"base":7}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":4528,"base":7},"right_expr":{"type":"numeric_atoms","value":2982,"base":7}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":1303,"base":7},"right_expr":{"type":"numeric_atoms","value":3420,"base":7}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":5528,"base":7},"right_expr":{"type":"numeric_atoms","value":1900,"base":7}}}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"numeric_atoms","value":1011,"base":7}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":2343,"base":7},"right_expr":{"type":"numeric_atoms","value":8336,"base":7}}}}},"used_operators":["5uvYHDjeKN","nhYeJWJD5X","9bazX3JMtO","gub5Cegaqo","rGHVDoGpnC","Nsiff2A1zJ","JxwMv5le6e","SR5kFfdi6N","D4vGDi5EA2","3EYGwJThht","27wFxooxGf","umQnsF7QlU"],"dependent_operators":["Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","DpFCA1CohY","IWmyXbctLI","Tcnh7f0tEr","dWAJyo7jo9","14qkJME0vr","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF"],"result":"≴∭⊉-466","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1103","layer":4},{"info":"number node, value=1920","layer":4},{"info":"compute binary expreesion, left_input=1103, right_input=1920, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=8628","layer":3},{"info":"number node, value=4528","layer":4},{"info":"number node, value=2982","layer":4},{"info":"compute binary expreesion, left_input=4528, right_input=2982, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=8628, right_input=nan, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=nan","layer":2},{"info":"number node, value=1303","layer":4},{"info":"number node, value=3420","layer":4},{"info":"compute binary expreesion, left_input=1303, right_input=3420, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"number node, value=5528","layer":4},{"info":"number node, value=1900","layer":4},{"info":"compute binary expreesion, left_input=5528, right_input=1900, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-5178","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5178, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=nan","layer":1},{"info":"number node, value=1011","layer":4},{"info":"compute unary expreesion, input=1011, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=4496","layer":3},{"info":"number node, value=2343","layer":4},{"info":"number node, value=8336","layer":4},{"info":"compute binary expreesion, left_input=2343, right_input=8336, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=-55","layer":3},{"info":"compute binary expreesion, left_input=4496, right_input=-55, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉3134⩁⩘≴∭⊉5412)↹⊜(≴∭⊉16126⨟⋌⩍≴∭⊉11460)∇⊂⋱(≴∭⊉3541⨼⩣≴∭⊉12654⊴(≴∭⊉22055↱≴∭⊉5353))⇍⊗(((⊢≑≆≴∭⊉2643)⇄≴∭⊉6555⪕≴∭⊉33206)≦≮≮)=≴∭⊉-466","reverse_text":"≴∭⊉-466=(≴∭⊉3134⩁⩘≴∭⊉5412)↹⊜(≴∭⊉16126⨟⋌⩍≴∭⊉11460)∇⊂⋱(≴∭⊉3541⨼⩣≴∭⊉12654⊴(≴∭⊉22055↱≴∭⊉5353))⇍⊗(((⊢≑≆≴∭⊉2643)⇄≴∭⊉6555⪕≴∭⊉33206)≦≮≮)","cot":[{"info":"≴∭⊉3134⩁⩘≴∭⊉5412=≴∭⊉34104","layer":3},{"info":"≴∭⊉16126⨟⋌⩍≴∭⊉11460=NaN","layer":3},{"info":"≴∭⊉34104↹⊜NaN=NaN","layer":2},{"info":"≴∭⊉3541⨼⩣≴∭⊉12654=NaN","layer":3},{"info":"≴∭⊉22055↱≴∭⊉5353=≴∭⊉-21045","layer":3},{"info":"NaN⊴≴∭⊉-21045=NaN","layer":2},{"info":"NaN∇⊂⋱NaN=NaN","layer":1},{"info":"⊢≑≆≴∭⊉2643=≴∭⊉16052","layer":3},{"info":"≴∭⊉6555⪕≴∭⊉33206=≴∭⊉-106","layer":3},{"info":"≴∭⊉16052⇄≴∭⊉-106=≴∭⊉0","layer":2},{"info":"≴∭⊉0≦≮≮=≴∭⊉0","layer":1},{"info":"NaN⇍⊗≴∭⊉0=≴∭⊉-466","layer":0}]}
+{"id":646,"expression_no_base_symbol":"($1920$∴$4337$⋛($2587$⫃⨇$1218$)⩟)⋷(∥⊫((⊊≼∋$2189$)⇋≉))","expression":"(≴∭⊉5412∴≴∭⊉15434⋛(≴∭⊉10354⫃⨇≴∭⊉3360)⩟)⋷(∥⊫((⊊≼∋≴∭⊉6245)⇋≉))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2320,"operation_count":8,"complexity_ratio":290.0,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⩟","unary_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":1920,"base":7},"right_expr":{"type":"numeric_atoms","value":4337,"base":7}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":2587,"base":7},"right_expr":{"type":"numeric_atoms","value":1218,"base":7}}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"numeric_atoms","value":2189,"base":7}}}}},"used_operators":["23Mk6UjR3U","fOIeswaMU4","YbUVn0Rbpy","hrf7POJlIJ","09Ly4LVMIf","P8v4zCKN1o","XIabStNQrY","FWz7pXsQhA"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","Qy55tPpLXF","8w2t5hMYqp","12rbrZMWeM","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","jCPkEVoL5K"],"result":"≴∭⊉-1042001","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1920","layer":4},{"info":"number node, value=4337","layer":4},{"info":"compute binary expreesion, left_input=1920, right_input=4337, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=5488","layer":3},{"info":"number node, value=2587","layer":4},{"info":"number node, value=1218","layer":4},{"info":"compute binary expreesion, left_input=2587, right_input=1218, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-4904","layer":3},{"info":"compute binary expreesion, left_input=5488, right_input=-4904, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-14067","layer":2},{"info":"compute unary expreesion, input=-14067, op_id = fOIeswaMU4, unary_op_definition = 'a⩟ = { (⊄⩳↩((a⋳⪒a)+(155⋥≓≎a))) }', output=127830","layer":1},{"info":"number node, value=2189","layer":4},{"info":"compute unary expreesion, input=2189, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=-447","layer":3},{"info":"compute unary expreesion, input=-447, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-992","layer":2},{"info":"compute unary expreesion, input=-992, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=-55","layer":1},{"info":"compute binary expreesion, left_input=127830, right_input=-55, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-127940","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉5412∴≴∭⊉15434⋛(≴∭⊉10354⫃⨇≴∭⊉3360)⩟)⋷(∥⊫((⊊≼∋≴∭⊉6245)⇋≉))=≴∭⊉-1042001","reverse_text":"≴∭⊉-1042001=(≴∭⊉5412∴≴∭⊉15434⋛(≴∭⊉10354⫃⨇≴∭⊉3360)⩟)⋷(∥⊫((⊊≼∋≴∭⊉6245)⇋≉))","cot":[{"info":"≴∭⊉5412∴≴∭⊉15434=≴∭⊉22000","layer":3},{"info":"≴∭⊉10354⫃⨇≴∭⊉3360=≴∭⊉-20204","layer":3},{"info":"≴∭⊉22000⋛≴∭⊉-20204=≴∭⊉-56004","layer":2},{"info":"≴∭⊉-56004⩟=≴∭⊉1041453","layer":1},{"info":"⊊≼∋≴∭⊉6245=≴∭⊉-1206","layer":3},{"info":"≴∭⊉-1206⇋≉=≴∭⊉-2615","layer":2},{"info":"∥⊫≴∭⊉-2615=≴∭⊉-106","layer":1},{"info":"≴∭⊉1041453⋷≴∭⊉-106=≴∭⊉-1042001","layer":0}]}
+{"id":647,"expression_no_base_symbol":"(∂⩏⊆(⫖→$2468$))⇻⋧≁((⋗⩬⋾$1301$)∠↢(∡$2365$))⫡⨏($4268$⪪$1096$∁)↢($1919$⪭≯$4871$⫔⩽⩺($2165$⊍⩺⋍$1765$))","expression":"(∂⩏⊆(⫖→≴∭⊉10124))⇻⋧≁((⋗⩬⋾≴∭⊉3536)∠↢(∡≴∭⊉6616))⫡⨏(≴∭⊉15305⪪≴∭⊉3124∁)↢(≴∭⊉5411⪭≯≴∭⊉20126⫔⩽⩺(≴∭⊉6212⊍⩺⋍≴∭⊉5101))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":16256,"operation_count":13,"complexity_ratio":1250.4615384615386,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"numeric_atoms","value":2468,"base":7}}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1301,"base":7}},"right_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"numeric_atoms","value":2365,"base":7}}}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"unary","operator":"∁","unary_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":4268,"base":7},"right_expr":{"type":"numeric_atoms","value":1096,"base":7}}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":1919,"base":7},"right_expr":{"type":"numeric_atoms","value":4871,"base":7}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":2165,"base":7},"right_expr":{"type":"numeric_atoms","value":1765,"base":7}}}}},"used_operators":["QMFrweE19q","jCPkEVoL5K","8WDwsbhb0R","U4ylXWHChL","KbjG8mgYpV","DpFCA1CohY","pRsWfj4Fpp","WR6HLWljOP","jdwGQqwJi5","xD69zh8xqp","i9eR4S00cU","XAx5wpdLa6","OXDGMFPWZM"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","14qkJME0vr","eLAdDNolq6","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","2DDjHMKMc0","FU0Cs4j7VP","JclMnS0uGI","Tw270M8GLb","fu6greOZ01","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2468","layer":4},{"info":"compute unary expreesion, input=2468, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":3},{"info":"compute unary expreesion, input=177, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-610","layer":2},{"info":"number node, value=1301","layer":4},{"info":"compute unary expreesion, input=1301, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-3903","layer":3},{"info":"number node, value=2365","layer":4},{"info":"compute unary expreesion, input=2365, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=-2365","layer":3},{"info":"compute binary expreesion, left_input=-3903, right_input=-2365, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=49804","layer":2},{"info":"compute binary expreesion, left_input=-610, right_input=49804, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-8867","layer":1},{"info":"number node, value=4268","layer":4},{"info":"number node, value=1096","layer":4},{"info":"compute binary expreesion, left_input=4268, right_input=1096, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-640557","layer":3},{"info":"compute unary expreesion, input=-640557, op_id = jdwGQqwJi5, unary_op_definition = 'a∁ = { (a⋝⋈⪟a) }', output=-640557","layer":2},{"info":"number node, value=1919","layer":4},{"info":"number node, value=4871","layer":4},{"info":"compute binary expreesion, left_input=1919, right_input=4871, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"number node, value=2165","layer":4},{"info":"number node, value=1765","layer":4},{"info":"compute binary expreesion, left_input=2165, right_input=1765, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-640557, right_input=nan, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-8867, right_input=nan, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(∂⩏⊆(⫖→≴∭⊉10124))⇻⋧≁((⋗⩬⋾≴∭⊉3536)∠↢(∡≴∭⊉6616))⫡⨏(≴∭⊉15305⪪≴∭⊉3124∁)↢(≴∭⊉5411⪭≯≴∭⊉20126⫔⩽⩺(≴∭⊉6212⊍⩺⋍≴∭⊉5101))=NaN","reverse_text":"NaN=(∂⩏⊆(⫖→≴∭⊉10124))⇻⋧≁((⋗⩬⋾≴∭⊉3536)∠↢(∡≴∭⊉6616))⫡⨏(≴∭⊉15305⪪≴∭⊉3124∁)↢(≴∭⊉5411⪭≯≴∭⊉20126⫔⩽⩺(≴∭⊉6212⊍⩺⋍≴∭⊉5101))","cot":[{"info":"⫖→≴∭⊉10124=≴∭⊉342","layer":3},{"info":"∂⩏⊆≴∭⊉342=≴∭⊉-1531","layer":2},{"info":"⋗⩬⋾≴∭⊉3536=≴∭⊉-14244","layer":3},{"info":"∡≴∭⊉6616=≴∭⊉-6616","layer":3},{"info":"≴∭⊉-14244∠↢≴∭⊉-6616=≴∭⊉265126","layer":2},{"info":"≴∭⊉-1531⇻⋧≁≴∭⊉265126=≴∭⊉-34565","layer":1},{"info":"≴∭⊉15305⪪≴∭⊉3124=≴∭⊉-5305341","layer":3},{"info":"≴∭⊉-5305341∁=≴∭⊉-5305341","layer":2},{"info":"≴∭⊉5411⪭≯≴∭⊉20126=NaN","layer":3},{"info":"≴∭⊉6212⊍⩺⋍≴∭⊉5101=NaN","layer":3},{"info":"NaN⫔⩽⩺NaN=NaN","layer":2},{"info":"≴∭⊉-5305341↢NaN=NaN","layer":1},{"info":"≴∭⊉-34565⫡⨏NaN=NaN","layer":0}]}
+{"id":648,"expression_no_base_symbol":"⪹((→⩰(≔$7378$))⩟)","expression":"⪹((→⩰(≔≴∭⊉30340))⩟)","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":205522,"operation_count":4,"complexity_ratio":51380.5,"tree":{"type":"unary","operator":"⪹","unary_expr":{"type":"unary","operator":"⩟","unary_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"numeric_atoms","value":7378,"base":7}}}}},"used_operators":["USyYr0JgAa","fOIeswaMU4","o8Pngz0Tml","8FLs4eVsLt"],"dependent_operators":["tifHPKVTfV","W4YGzv6Whe","Qy55tPpLXF","8w2t5hMYqp","12rbrZMWeM","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=7378","layer":4},{"info":"compute unary expreesion, input=7378, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-205290","layer":3},{"info":"compute unary expreesion, input=-205290, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = fOIeswaMU4, unary_op_definition = 'a⩟ = { (⊄⩳↩((a⋳⪒a)+(155⋥≓≎a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"⪹((→⩰(≔≴∭⊉30340))⩟)=NaN","reverse_text":"NaN=⪹((→⩰(≔≴∭⊉30340))⩟)","cot":[{"info":"≔≴∭⊉30340=≴∭⊉-1513341","layer":3},{"info":"→⩰≴∭⊉-1513341=NaN","layer":2},{"info":"NaN⩟=NaN","layer":1},{"info":"⪹NaN=NaN","layer":0}]}
+{"id":649,"expression_no_base_symbol":"($4019$⪕$2063$)∇⊂⋱$2041$⪔⊥$4718$≚⊃≕($1015$⫁$6461$⫲≸⪮($4111$↡⊰⫅$2072$))⋖∅⋲","expression":"(≴∭⊉14501⪕≴∭⊉6005)∇⊂⋱≴∭⊉5644⪔⊥≴∭⊉16520≚⊃≕(≴∭⊉2650⫁≴∭⊉24560⫲≸⪮(≴∭⊉14662↡⊰⫅≴∭⊉6020))⋖∅⋲","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":29509,"operation_count":8,"complexity_ratio":3688.625,"tree":{"type":"unary","operator":"⋖∅⋲","unary_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":4019,"base":7},"right_expr":{"type":"numeric_atoms","value":2063,"base":7}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":2041,"base":7},"right_expr":{"type":"numeric_atoms","value":4718,"base":7}}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":1015,"base":7},"right_expr":{"type":"numeric_atoms","value":6461,"base":7}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":4111,"base":7},"right_expr":{"type":"numeric_atoms","value":2072,"base":7}}}}},"used_operators":["L95AwlJzhO","Bmrmz2XGnR","nhYeJWJD5X","umQnsF7QlU","HJ9erzHUuu","P3lXMJvFrc","0ajvFaJAv0","VCtxkLNOzz"],"dependent_operators":["gx7XJ7hdpj","3nqY3DE9mg","XTarYq4gQB","y4ImoPnbV5","i8ToyICDmI","xNBdhnnwKq","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","cHh1gJQ2o6","AHs5Up7iyr","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn"],"result":"≴∭⊉-3160131","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4019","layer":4},{"info":"number node, value=2063","layer":4},{"info":"compute binary expreesion, left_input=4019, right_input=2063, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=6876","layer":3},{"info":"number node, value=2041","layer":4},{"info":"number node, value=4718","layer":4},{"info":"compute binary expreesion, left_input=2041, right_input=4718, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=-1471","layer":3},{"info":"compute binary expreesion, left_input=6876, right_input=-1471, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=13206","layer":2},{"info":"number node, value=1015","layer":4},{"info":"number node, value=6461","layer":4},{"info":"compute binary expreesion, left_input=1015, right_input=6461, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"number node, value=4111","layer":4},{"info":"number node, value=2072","layer":4},{"info":"compute binary expreesion, left_input=4111, right_input=2072, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=4144","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=4144, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=13206, right_input=160, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":1},{"info":"compute unary expreesion, input=67, op_id = L95AwlJzhO, unary_op_definition = 'a⋖∅⋲ = { ((⪝⪂⫅431)⊍) , if (a∲⫓500)>7 ; ((a∽304)⫸⇳(a⊭∹↮)) , else }', output=-384231","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉14501⪕≴∭⊉6005)∇⊂⋱≴∭⊉5644⪔⊥≴∭⊉16520≚⊃≕(≴∭⊉2650⫁≴∭⊉24560⫲≸⪮(≴∭⊉14662↡⊰⫅≴∭⊉6020))⋖∅⋲=≴∭⊉-3160131","reverse_text":"≴∭⊉-3160131=(≴∭⊉14501⪕≴∭⊉6005)∇⊂⋱≴∭⊉5644⪔⊥≴∭⊉16520≚⊃≕(≴∭⊉2650⫁≴∭⊉24560⫲≸⪮(≴∭⊉14662↡⊰⫅≴∭⊉6020))⋖∅⋲","cot":[{"info":"≴∭⊉14501⪕≴∭⊉6005=≴∭⊉26022","layer":3},{"info":"≴∭⊉5644⪔⊥≴∭⊉16520=≴∭⊉-4201","layer":3},{"info":"≴∭⊉26022∇⊂⋱≴∭⊉-4201=≴∭⊉53334","layer":2},{"info":"≴∭⊉2650⫁≴∭⊉24560=≴∭⊉316","layer":3},{"info":"≴∭⊉14662↡⊰⫅≴∭⊉6020=≴∭⊉15040","layer":3},{"info":"≴∭⊉316⫲≸⪮≴∭⊉15040=≴∭⊉316","layer":2},{"info":"≴∭⊉53334≚⊃≕≴∭⊉316=≴∭⊉124","layer":1},{"info":"≴∭⊉124⋖∅⋲=≴∭⊉-3160131","layer":0}]}
+{"id":650,"expression_no_base_symbol":"(($2105$⇡⇂$2920$⫌⩉⩟$3493$⫣⪄⊒$3348$)≬⇓(($3498$⫽⇹≛)⨒($2562$⨎⋸⪻)))⨐⩸⫘(⊲⪭($4213$⋥⋵⩄$1684$))⩣⫁∢(($1893$⨱∎)↳∿⪆($1959$⫉⨲⊜$1752$))","expression":"((≴∭⊉6065⇡⇂≴∭⊉11341⫌⩉⩟≴∭⊉13120⫣⪄⊒≴∭⊉12522)≬⇓((≴∭⊉13125⫽⇹≛)⨒(≴∭⊉10320⨎⋸⪻)))⨐⩸⫘(⊲⪭(≴∭⊉15166⋥⋵⩄≴∭⊉4624))⩣⫁∢((≴∭⊉5343⨱∎)↳∿⪆(≴∭⊉5466⫉⨲⊜≴∭⊉5052))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":125973,"operation_count":14,"complexity_ratio":8998.07142857143,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":2105,"base":7},"right_expr":{"type":"numeric_atoms","value":2920,"base":7}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":3493,"base":7},"right_expr":{"type":"numeric_atoms","value":3348,"base":7}}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"unary","operator":"⫽⇹≛","unary_expr":{"type":"numeric_atoms","value":3498,"base":7}},"right_expr":{"type":"unary","operator":"⨎⋸⪻","unary_expr":{"type":"numeric_atoms","value":2562,"base":7}}}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":4213,"base":7},"right_expr":{"type":"numeric_atoms","value":1684,"base":7}}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"unary","operator":"⨱∎","unary_expr":{"type":"numeric_atoms","value":1893,"base":7}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":1959,"base":7},"right_expr":{"type":"numeric_atoms","value":1752,"base":7}}}}},"used_operators":["fu6greOZ01","jWTQ2TZYIH","XIIwhv8d0m","UMwdvZNt44","RabNbG55vr","y75s1iXyHd","NNaDxxp6OQ","Dk5vyLCiGd","JDUIKTTSIa","k7HXdKtiEU","7t3wd0Fuz7","Cw4SuJJGHO","MmTdOpaElr","WhqkvtTD3t"],"dependent_operators":["3ViojmjbAp","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","KbjG8mgYpV","AdZkA7nFnk","IWmyXbctLI","IWmyXbctLI","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","i8ToyICDmI","xUOZtlo3hN","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","tifHPKVTfV","eewbuw0ToL","zVYPLywUTj"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2105","layer":4},{"info":"number node, value=2920","layer":4},{"info":"compute binary expreesion, left_input=2105, right_input=2920, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"number node, value=3493","layer":4},{"info":"number node, value=3348","layer":4},{"info":"compute binary expreesion, left_input=3493, right_input=3348, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-13614","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-13614, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":2},{"info":"number node, value=3498","layer":4},{"info":"compute unary expreesion, input=3498, op_id = NNaDxxp6OQ, unary_op_definition = 'a⫽⇹≛ = { ((113⋅⇍170)⪮%⊝(a∠↢a)) }', output=272","layer":3},{"info":"number node, value=2562","layer":4},{"info":"compute unary expreesion, input=2562, op_id = Dk5vyLCiGd, unary_op_definition = 'a⨎⋸⪻ = { (a⪮%⊝26) }', output=5440","layer":3},{"info":"compute binary expreesion, left_input=272, right_input=5440, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-1260","layer":2},{"info":"compute binary expreesion, left_input=-50, right_input=-1260, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=0","layer":1},{"info":"number node, value=4213","layer":4},{"info":"number node, value=1684","layer":4},{"info":"compute binary expreesion, left_input=4213, right_input=1684, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"compute unary expreesion, input=113, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-287","layer":2},{"info":"number node, value=1893","layer":4},{"info":"compute unary expreesion, input=1893, op_id = MmTdOpaElr, unary_op_definition = 'a⨱∎ = { (a⇼⇔∾a) }', output=0","layer":3},{"info":"number node, value=1959","layer":4},{"info":"number node, value=1752","layer":4},{"info":"compute binary expreesion, left_input=1959, right_input=1752, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-287, right_input=nan, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉6065⇡⇂≴∭⊉11341⫌⩉⩟≴∭⊉13120⫣⪄⊒≴∭⊉12522)≬⇓((≴∭⊉13125⫽⇹≛)⨒(≴∭⊉10320⨎⋸⪻)))⨐⩸⫘(⊲⪭(≴∭⊉15166⋥⋵⩄≴∭⊉4624))⩣⫁∢((≴∭⊉5343⨱∎)↳∿⪆(≴∭⊉5466⫉⨲⊜≴∭⊉5052))=NaN","reverse_text":"NaN=((≴∭⊉6065⇡⇂≴∭⊉11341⫌⩉⩟≴∭⊉13120⫣⪄⊒≴∭⊉12522)≬⇓((≴∭⊉13125⫽⇹≛)⨒(≴∭⊉10320⨎⋸⪻)))⨐⩸⫘(⊲⪭(≴∭⊉15166⋥⋵⩄≴∭⊉4624))⩣⫁∢((≴∭⊉5343⨱∎)↳∿⪆(≴∭⊉5466⫉⨲⊜≴∭⊉5052))","cot":[{"info":"≴∭⊉6065⇡⇂≴∭⊉11341=NaN","layer":3},{"info":"≴∭⊉13120⫣⪄⊒≴∭⊉12522=≴∭⊉-54456","layer":3},{"info":"NaN⫌⩉⩟≴∭⊉-54456=≴∭⊉-101","layer":2},{"info":"≴∭⊉13125⫽⇹≛=≴∭⊉536","layer":3},{"info":"≴∭⊉10320⨎⋸⪻=≴∭⊉21601","layer":3},{"info":"≴∭⊉536⨒≴∭⊉21601=≴∭⊉-3450","layer":2},{"info":"≴∭⊉-101≬⇓≴∭⊉-3450=≴∭⊉0","layer":1},{"info":"≴∭⊉15166⋥⋵⩄≴∭⊉4624=≴∭⊉221","layer":3},{"info":"⊲⪭≴∭⊉221=≴∭⊉-560","layer":2},{"info":"≴∭⊉5343⨱∎=≴∭⊉0","layer":3},{"info":"≴∭⊉5466⫉⨲⊜≴∭⊉5052=≴∭⊉0","layer":3},{"info":"≴∭⊉0↳∿⪆≴∭⊉0=NaN","layer":2},{"info":"≴∭⊉-560⩣⫁∢NaN=NaN","layer":1},{"info":"≴∭⊉0⨐⩸⫘NaN=NaN","layer":0}]}
+{"id":651,"expression_no_base_symbol":"(($1045$⪚$3032$⨽$4625$⩇∃⫛$2375$)∑⇟⊟(⇖($3647$∷$2161$)))⩇∃⫛(⊆⋠(∮($6040$⪚⩙≫)))","expression":"((≴∭⊉3022⪚≴∭⊉11561⨽≴∭⊉16325⩇∃⫛≴∭⊉6632)∑⇟⊟(⇖(≴∭⊉13430∷≴∭⊉6205)))⩇∃⫛(⊆⋠(∮(≴∭⊉23416⪚⩙≫)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2166955,"operation_count":10,"complexity_ratio":216695.5,"tree":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":1045,"base":7},"right_expr":{"type":"numeric_atoms","value":3032,"base":7}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":4625,"base":7},"right_expr":{"type":"numeric_atoms","value":2375,"base":7}}},"right_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":3647,"base":7},"right_expr":{"type":"numeric_atoms","value":2161,"base":7}}}},"right_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"unary","operator":"⪚⩙≫","unary_expr":{"type":"numeric_atoms","value":6040,"base":7}}}}},"used_operators":["1aApVXNlOP","U7g4x0WXJJ","8HhzD0ZcuI","HrjLwUk87U","tfWHHpNKUN","D3AQDKkPcf","EBhcHTkKd8","CqXKPLVYql","4n53wtyJvv"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","2DQ55sFlQl","9FxExcQeMw","NTOWxs364D","7j4O788W3g","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","Uaa54Peajs","nCS4ZIUYfx","WR6HLWljOP"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1045","layer":4},{"info":"number node, value=3032","layer":4},{"info":"compute binary expreesion, left_input=1045, right_input=3032, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-4330","layer":3},{"info":"number node, value=4625","layer":4},{"info":"number node, value=2375","layer":4},{"info":"compute binary expreesion, left_input=4625, right_input=2375, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=-1777","layer":3},{"info":"compute binary expreesion, left_input=-4330, right_input=-1777, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-56240055","layer":2},{"info":"number node, value=3647","layer":4},{"info":"number node, value=2161","layer":4},{"info":"compute binary expreesion, left_input=3647, right_input=2161, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=2161","layer":3},{"info":"compute unary expreesion, input=2161, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=-56240055, right_input=160, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=6040","layer":4},{"info":"compute unary expreesion, input=6040, op_id = 4n53wtyJvv, unary_op_definition = 'a⪚⩙≫ = { ((316↢a)⨳⩥⨓(∂255)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=3979","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=3979, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉3022⪚≴∭⊉11561⨽≴∭⊉16325⩇∃⫛≴∭⊉6632)∑⇟⊟(⇖(≴∭⊉13430∷≴∭⊉6205)))⩇∃⫛(⊆⋠(∮(≴∭⊉23416⪚⩙≫)))=NaN","reverse_text":"NaN=((≴∭⊉3022⪚≴∭⊉11561⨽≴∭⊉16325⩇∃⫛≴∭⊉6632)∑⇟⊟(⇖(≴∭⊉13430∷≴∭⊉6205)))⩇∃⫛(⊆⋠(∮(≴∭⊉23416⪚⩙≫)))","cot":[{"info":"≴∭⊉3022⪚≴∭⊉11561=≴∭⊉-15424","layer":3},{"info":"≴∭⊉16325⩇∃⫛≴∭⊉6632=≴∭⊉-5116","layer":3},{"info":"≴∭⊉-15424⨽≴∭⊉-5116=≴∭⊉-1252014114","layer":2},{"info":"≴∭⊉13430∷≴∭⊉6205=≴∭⊉6205","layer":3},{"info":"⇖≴∭⊉6205=≴∭⊉316","layer":2},{"info":"≴∭⊉-1252014114∑⇟⊟≴∭⊉316=NaN","layer":1},{"info":"≴∭⊉23416⪚⩙≫=NaN","layer":3},{"info":"∮NaN=NaN","layer":2},{"info":"⊆⋠NaN=≴∭⊉14413","layer":1},{"info":"NaN⩇∃⫛≴∭⊉14413=NaN","layer":0}]}
+{"id":652,"expression_no_base_symbol":"(⩷($7125$+$2331$)⪬($4210$⋷$5324$))⪃⊛⇣((($3155$∙∹∝$3118$)⩇∃⫛($1734$≭$2418$))⩖⊿(⇜(∨∊⋏$1790$)))","expression":"(⩷(≴∭⊉26526+≴∭⊉6540)⪬(≴∭⊉15163⋷≴∭⊉21344))⪃⊛⇣(((≴∭⊉12125∙∹∝≴∭⊉12043)⩇∃⫛(≴∭⊉5025≭≴∭⊉10023))⩖⊿(⇜(∨∊⋏≴∭⊉5135)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1599,"operation_count":11,"complexity_ratio":145.36363636363637,"tree":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":7125,"base":7},"right_expr":{"type":"numeric_atoms","value":2331,"base":7}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":4210,"base":7},"right_expr":{"type":"numeric_atoms","value":5324,"base":7}}}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":3155,"base":7},"right_expr":{"type":"numeric_atoms","value":3118,"base":7}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1734,"base":7},"right_expr":{"type":"numeric_atoms","value":2418,"base":7}}},"right_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"numeric_atoms","value":1790,"base":7}}}}},"used_operators":["rrgAzCduG9","1h0rLqGiFr","Ez1Nq5fNfI","W4YGzv6Whe","23Mk6UjR3U","RZ5CV9rWsJ","1aApVXNlOP","HmxsFra2vL","rxpJgHHUmx","lFBm8KRb8F","R5aXW34M0v"],"dependent_operators":["Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","W4YGzv6Whe","t8gj7n24qd","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","AHs5Up7iyr","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ"],"result":"≴∭⊉3412","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=7125","layer":4},{"info":"number node, value=2331","layer":4},{"info":"compute binary expreesion, left_input=7125, right_input=2331, op_id = W4YGzv6Whe binary_op_definition= 'None', output=9456","layer":3},{"info":"number node, value=4210","layer":4},{"info":"number node, value=5324","layer":4},{"info":"compute binary expreesion, left_input=4210, right_input=5324, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=6438","layer":3},{"info":"compute binary expreesion, left_input=9456, right_input=6438, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"compute unary expreesion, input=1234, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-14887","layer":1},{"info":"number node, value=3155","layer":4},{"info":"number node, value=3118","layer":4},{"info":"compute binary expreesion, left_input=3155, right_input=3118, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=1734","layer":4},{"info":"number node, value=2418","layer":4},{"info":"compute binary expreesion, left_input=1734, right_input=2418, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=nan","layer":2},{"info":"number node, value=1790","layer":4},{"info":"compute unary expreesion, input=1790, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=29759","layer":3},{"info":"compute unary expreesion, input=29759, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-238480","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-238480, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-14887, right_input=nan, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":0}],"base":7,"result_base":7,"text":"(⩷(≴∭⊉26526+≴∭⊉6540)⪬(≴∭⊉15163⋷≴∭⊉21344))⪃⊛⇣(((≴∭⊉12125∙∹∝≴∭⊉12043)⩇∃⫛(≴∭⊉5025≭≴∭⊉10023))⩖⊿(⇜(∨∊⋏≴∭⊉5135)))=≴∭⊉3412","reverse_text":"≴∭⊉3412=(⩷(≴∭⊉26526+≴∭⊉6540)⪬(≴∭⊉15163⋷≴∭⊉21344))⪃⊛⇣(((≴∭⊉12125∙∹∝≴∭⊉12043)⩇∃⫛(≴∭⊉5025≭≴∭⊉10023))⩖⊿(⇜(∨∊⋏≴∭⊉5135)))","cot":[{"info":"≴∭⊉26526+≴∭⊉6540=≴∭⊉36366","layer":3},{"info":"≴∭⊉15163⋷≴∭⊉21344=≴∭⊉24525","layer":3},{"info":"≴∭⊉36366⪬≴∭⊉24525=≴∭⊉3412","layer":2},{"info":"⩷≴∭⊉3412=≴∭⊉-61255","layer":1},{"info":"≴∭⊉12125∙∹∝≴∭⊉12043=≴∭⊉0","layer":3},{"info":"≴∭⊉5025≭≴∭⊉10023=NaN","layer":3},{"info":"≴∭⊉0⩇∃⫛NaN=NaN","layer":2},{"info":"∨∊⋏≴∭⊉5135=≴∭⊉152522","layer":3},{"info":"⇜≴∭⊉152522=≴∭⊉-2012164","layer":2},{"info":"NaN⩖⊿≴∭⊉-2012164=NaN","layer":1},{"info":"≴∭⊉-61255⪃⊛⇣NaN=≴∭⊉3412","layer":0}]}
+{"id":653,"expression_no_base_symbol":"(($1092$≭$1011$)⨿(⫡⇟⇯$1584$)⪒(($1703$⊉≛↸$2251$)≝⊰⇂))∌↝(⩰(⨩∲⋌($1409$⪭≯$3328$)))","expression":"((≴∭⊉3120≭≴∭⊉2643)⨿(⫡⇟⇯≴∭⊉4422)⪒((≴∭⊉4652⊉≛↸≴∭⊉6364)≝⊰⇂))∌↝(⩰(⨩∲⋌(≴∭⊉4052⪭≯≴∭⊉12463)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1862,"operation_count":10,"complexity_ratio":186.2,"tree":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1092,"base":7},"right_expr":{"type":"numeric_atoms","value":1011,"base":7}},"right_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"numeric_atoms","value":1584,"base":7}}},"right_expr":{"type":"unary","operator":"≝⊰⇂","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1703,"base":7},"right_expr":{"type":"numeric_atoms","value":2251,"base":7}}}},"right_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":1409,"base":7},"right_expr":{"type":"numeric_atoms","value":3328,"base":7}}}}},"used_operators":["9Isq31Ruls","f6k1SAg4EE","abYXlopdE0","rxpJgHHUmx","qWUSsah53b","htSmYCowi5","DZ8iAZOCBD","WkeUrDK8WX","aSik1wnThz","XAx5wpdLa6"],"dependent_operators":["DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","AHs5Up7iyr","DZ8iAZOCBD","P8v4zCKN1o","9FxExcQeMw","DlLNRPXxWL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW"],"result":"≴∭⊉-251","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1092","layer":4},{"info":"number node, value=1011","layer":4},{"info":"compute binary expreesion, left_input=1092, right_input=1011, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=1584","layer":4},{"info":"compute unary expreesion, input=1584, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=4036","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4036, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=67","layer":2},{"info":"number node, value=1703","layer":4},{"info":"number node, value=2251","layer":4},{"info":"compute binary expreesion, left_input=1703, right_input=2251, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3406","layer":3},{"info":"compute unary expreesion, input=3406, op_id = htSmYCowi5, unary_op_definition = 'a≝⊰⇂ = { (a⩷∴51) , if a<491 ; (⫛⫱⨽a) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=0, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-67","layer":1},{"info":"number node, value=1409","layer":4},{"info":"number node, value=3328","layer":4},{"info":"compute binary expreesion, left_input=1409, right_input=3328, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-67, right_input=nan, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=-134","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉3120≭≴∭⊉2643)⨿(⫡⇟⇯≴∭⊉4422)⪒((≴∭⊉4652⊉≛↸≴∭⊉6364)≝⊰⇂))∌↝(⩰(⨩∲⋌(≴∭⊉4052⪭≯≴∭⊉12463)))=≴∭⊉-251","reverse_text":"≴∭⊉-251=((≴∭⊉3120≭≴∭⊉2643)⨿(⫡⇟⇯≴∭⊉4422)⪒((≴∭⊉4652⊉≛↸≴∭⊉6364)≝⊰⇂))∌↝(⩰(⨩∲⋌(≴∭⊉4052⪭≯≴∭⊉12463)))","cot":[{"info":"≴∭⊉3120≭≴∭⊉2643=NaN","layer":3},{"info":"⫡⇟⇯≴∭⊉4422=≴∭⊉14524","layer":3},{"info":"NaN⨿≴∭⊉14524=≴∭⊉124","layer":2},{"info":"≴∭⊉4652⊉≛↸≴∭⊉6364=≴∭⊉12634","layer":3},{"info":"≴∭⊉12634≝⊰⇂=≴∭⊉0","layer":2},{"info":"≴∭⊉124⪒≴∭⊉0=≴∭⊉-124","layer":1},{"info":"≴∭⊉4052⪭≯≴∭⊉12463=NaN","layer":3},{"info":"⨩∲⋌NaN=NaN","layer":2},{"info":"⩰NaN=NaN","layer":1},{"info":"≴∭⊉-124∌↝NaN=≴∭⊉-251","layer":0}]}
+{"id":654,"expression_no_base_symbol":"((⨑⩽⪐$1356$)≓∲$1095$⩧⪆$4275$)∋(($2454$⊝)⋓(↡$1453$))⩍⋽⫝̸(((+⊝⨔$2037$)↸$1365$⫸⊐$1007$)⪡(($2572$⪡$5431$)⩱))","expression":"((⨑⩽⪐≴∭⊉3645)≓∲≴∭⊉3123⩧⪆≴∭⊉15315)∋((≴∭⊉10104⊝)⋓(↡≴∭⊉4144))⩍⋽⫝̸(((+⊝⨔≴∭⊉5640)↸≴∭⊉3660⫸⊐≴∭⊉2636)⪡((≴∭⊉10333⪡≴∭⊉21556)⩱))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1828,"operation_count":14,"complexity_ratio":130.57142857142858,"tree":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1356,"base":7}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":1095,"base":7},"right_expr":{"type":"numeric_atoms","value":4275,"base":7}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⊝","unary_expr":{"type":"numeric_atoms","value":2454,"base":7}},"right_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"numeric_atoms","value":1453,"base":7}}}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":2037,"base":7}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1365,"base":7},"right_expr":{"type":"numeric_atoms","value":1007,"base":7}}},"right_expr":{"type":"unary","operator":"⩱","unary_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":2572,"base":7},"right_expr":{"type":"numeric_atoms","value":5431,"base":7}}}}},"used_operators":["BiWNJpBvwn","ukq6epAj5P","s1XTVnmDOJ","AF7qkfDlqP","Ikt5ks8PT7","T2fj7uvVaJ","O6EZ0fifGK","MXaNJeIAZ3","oraRL2iQuh","1eCjFl0mb9","DhbWaqg5eL","mqXw5SEYmG","uyq1hVkAcj"],"dependent_operators":["Ph9nP6C5qx","xUOZtlo3hN","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","eewbuw0ToL","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","IqGBaFP0uj","ncHt1X6cMc","AHs5Up7iyr","EWw2JM7wp4","6o9Blt3TJ6","keWfFq85dY","u7fv1HBiaC","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","DpFCA1CohY","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","COABgblf1C"],"result":"≴∭⊉262016","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1356","layer":4},{"info":"compute unary expreesion, input=1356, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1083","layer":3},{"info":"number node, value=1095","layer":4},{"info":"number node, value=4275","layer":4},{"info":"compute binary expreesion, left_input=1095, right_input=4275, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-4275","layer":3},{"info":"compute binary expreesion, left_input=-1083, right_input=-4275, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=67","layer":2},{"info":"number node, value=2454","layer":4},{"info":"compute unary expreesion, input=2454, op_id = O6EZ0fifGK, unary_op_definition = 'a⊝ = { a , if (≯a)<=30 ; (((⩦⊞a)≁↽≥(a⪉⨛a))≹⇙⪍((a⊓⋫)⪉⨛(a⫰⋱a))) , else }', output=2454","layer":3},{"info":"number node, value=1453","layer":4},{"info":"compute unary expreesion, input=1453, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=13077","layer":3},{"info":"compute binary expreesion, left_input=2454, right_input=13077, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=0, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=-50188","layer":1},{"info":"number node, value=2037","layer":4},{"info":"compute unary expreesion, input=2037, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":3},{"info":"number node, value=1365","layer":4},{"info":"number node, value=1007","layer":4},{"info":"compute binary expreesion, left_input=1365, right_input=1007, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=3903","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=3903, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=1522","layer":2},{"info":"number node, value=2572","layer":4},{"info":"number node, value=5431","layer":4},{"info":"compute binary expreesion, left_input=2572, right_input=5431, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"compute unary expreesion, input=107, op_id = uyq1hVkAcj, unary_op_definition = 'a⩱ = { ((⋗⩬⋾(a⊭↱a))↺((a⨸⪁a)⪒(a⨸⪁125))) }', output=-892","layer":2},{"info":"compute binary expreesion, left_input=1522, right_input=-892, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=-787","layer":1},{"info":"compute binary expreesion, left_input=-50188, right_input=-787, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=48719","layer":0}],"base":7,"result_base":7,"text":"((⨑⩽⪐≴∭⊉3645)≓∲≴∭⊉3123⩧⪆≴∭⊉15315)∋((≴∭⊉10104⊝)⋓(↡≴∭⊉4144))⩍⋽⫝̸(((+⊝⨔≴∭⊉5640)↸≴∭⊉3660⫸⊐≴∭⊉2636)⪡((≴∭⊉10333⪡≴∭⊉21556)⩱))=≴∭⊉262016","reverse_text":"≴∭⊉262016=((⨑⩽⪐≴∭⊉3645)≓∲≴∭⊉3123⩧⪆≴∭⊉15315)∋((≴∭⊉10104⊝)⋓(↡≴∭⊉4144))⩍⋽⫝̸(((+⊝⨔≴∭⊉5640)↸≴∭⊉3660⫸⊐≴∭⊉2636)⪡((≴∭⊉10333⪡≴∭⊉21556)⩱))","cot":[{"info":"⨑⩽⪐≴∭⊉3645=≴∭⊉-3105","layer":3},{"info":"≴∭⊉3123⩧⪆≴∭⊉15315=≴∭⊉-15315","layer":3},{"info":"≴∭⊉-3105≓∲≴∭⊉-15315=≴∭⊉124","layer":2},{"info":"≴∭⊉10104⊝=≴∭⊉10104","layer":3},{"info":"↡≴∭⊉4144=≴∭⊉53061","layer":3},{"info":"≴∭⊉10104⋓≴∭⊉53061=≴∭⊉0","layer":2},{"info":"≴∭⊉124∋≴∭⊉0=≴∭⊉-266215","layer":1},{"info":"+⊝⨔≴∭⊉5640=≴∭⊉4303","layer":3},{"info":"≴∭⊉3660⫸⊐≴∭⊉2636=≴∭⊉14244","layer":3},{"info":"≴∭⊉4303↸≴∭⊉14244=≴∭⊉4303","layer":2},{"info":"≴∭⊉10333⪡≴∭⊉21556=≴∭⊉212","layer":3},{"info":"≴∭⊉212⩱=≴∭⊉-2413","layer":2},{"info":"≴∭⊉4303⪡≴∭⊉-2413=≴∭⊉-2203","layer":1},{"info":"≴∭⊉-266215⩍⋽⫝̸≴∭⊉-2203=≴∭⊉262016","layer":0}]}
+{"id":655,"expression_no_base_symbol":"((⩒∊($2667$⨪↰⇹$8918$))⫘($6371$⇄$5641$∽$1001$⋻⩜⩜$3893$))≝⊿($1022$∊∟⩊$1994$∘($2241$∀⇚≩$5422$)∇⊂⋱$1202$⪃⊛⇣$3015$⨥⫆($1083$⊔$2590$))","expression":"((⩒∊(≴∭⊉10530⨪↰⇹≴∭⊉35000))⫘(≴∭⊉24401⇄≴∭⊉22306∽≴∭⊉2630⋻⩜⩜≴∭⊉14231))≝⊿(≴∭⊉2660∊∟⩊≴∭⊉5546∘(≴∭⊉6351∀⇚≩≴∭⊉21544)∇⊂⋱≴∭⊉3335⪃⊛⇣≴∭⊉11535⨥⫆(≴∭⊉3105⊔≴∭⊉10360))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":78313,"operation_count":14,"complexity_ratio":5593.785714285715,"tree":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2667,"base":7},"right_expr":{"type":"numeric_atoms","value":8918,"base":7}}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":6371,"base":7},"right_expr":{"type":"numeric_atoms","value":5641,"base":7}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":1001,"base":7},"right_expr":{"type":"numeric_atoms","value":3893,"base":7}}}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":1022,"base":7},"right_expr":{"type":"numeric_atoms","value":1994,"base":7}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2241,"base":7},"right_expr":{"type":"numeric_atoms","value":5422,"base":7}}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":1202,"base":7},"right_expr":{"type":"numeric_atoms","value":3015,"base":7}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":1083,"base":7},"right_expr":{"type":"numeric_atoms","value":2590,"base":7}}}}},"used_operators":["OKKcZfAt5B","48vC8HMD2b","qazvmhNBbN","tmPS8pqC7x","y4ImoPnbV5","3EYGwJThht","oDCm7WA9JY","nhYeJWJD5X","Z5m6OM72h2","ddLRYrp01A","LRNGc0VcxI","yXekIHxTD4","rrgAzCduG9","E4l6HwMY31"],"dependent_operators":["12rbrZMWeM","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","rJVOvQCfKK","NTOWxs364D","QMFrweE19q","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","eH2TOUuTDT","rysDP5nf3Z","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","X99M06cbEe","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q"],"result":"≴∭⊉-63630202","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2667","layer":4},{"info":"number node, value=8918","layer":4},{"info":"compute binary expreesion, left_input=2667, right_input=8918, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2667","layer":3},{"info":"compute unary expreesion, input=2667, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=4577","layer":2},{"info":"number node, value=6371","layer":4},{"info":"number node, value=5641","layer":4},{"info":"compute binary expreesion, left_input=6371, right_input=5641, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"number node, value=1001","layer":4},{"info":"number node, value=3893","layer":4},{"info":"compute binary expreesion, left_input=1001, right_input=3893, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=2002","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2002, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-5828","layer":2},{"info":"compute binary expreesion, left_input=4577, right_input=-5828, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=5386957","layer":1},{"info":"number node, value=1022","layer":4},{"info":"number node, value=1994","layer":4},{"info":"compute binary expreesion, left_input=1022, right_input=1994, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=1994","layer":3},{"info":"number node, value=2241","layer":4},{"info":"number node, value=5422","layer":4},{"info":"compute binary expreesion, left_input=2241, right_input=5422, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1994, right_input=nan, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=3988","layer":2},{"info":"number node, value=1202","layer":4},{"info":"number node, value=3015","layer":4},{"info":"compute binary expreesion, left_input=1202, right_input=3015, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"number node, value=1083","layer":4},{"info":"number node, value=2590","layer":4},{"info":"compute binary expreesion, left_input=1083, right_input=2590, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=12716","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=12716, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=25308","layer":2},{"info":"compute binary expreesion, left_input=3988, right_input=25308, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=7430","layer":1},{"info":"compute binary expreesion, left_input=5386957, right_input=7430, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-5402350","layer":0}],"base":7,"result_base":7,"text":"((⩒∊(≴∭⊉10530⨪↰⇹≴∭⊉35000))⫘(≴∭⊉24401⇄≴∭⊉22306∽≴∭⊉2630⋻⩜⩜≴∭⊉14231))≝⊿(≴∭⊉2660∊∟⩊≴∭⊉5546∘(≴∭⊉6351∀⇚≩≴∭⊉21544)∇⊂⋱≴∭⊉3335⪃⊛⇣≴∭⊉11535⨥⫆(≴∭⊉3105⊔≴∭⊉10360))=≴∭⊉-63630202","reverse_text":"≴∭⊉-63630202=((⩒∊(≴∭⊉10530⨪↰⇹≴∭⊉35000))⫘(≴∭⊉24401⇄≴∭⊉22306∽≴∭⊉2630⋻⩜⩜≴∭⊉14231))≝⊿(≴∭⊉2660∊∟⩊≴∭⊉5546∘(≴∭⊉6351∀⇚≩≴∭⊉21544)∇⊂⋱≴∭⊉3335⪃⊛⇣≴∭⊉11535⨥⫆(≴∭⊉3105⊔≴∭⊉10360))","cot":[{"info":"≴∭⊉10530⨪↰⇹≴∭⊉35000=≴∭⊉10530","layer":3},{"info":"⩒∊≴∭⊉10530=≴∭⊉16226","layer":2},{"info":"≴∭⊉24401⇄≴∭⊉22306=≴∭⊉0","layer":3},{"info":"≴∭⊉2630⋻⩜⩜≴∭⊉14231=≴∭⊉5560","layer":3},{"info":"≴∭⊉0∽≴∭⊉5560=≴∭⊉-22664","layer":2},{"info":"≴∭⊉16226⫘≴∭⊉-22664=≴∭⊉63534262","layer":1},{"info":"≴∭⊉2660∊∟⩊≴∭⊉5546=≴∭⊉5546","layer":3},{"info":"≴∭⊉6351∀⇚≩≴∭⊉21544=NaN","layer":3},{"info":"≴∭⊉5546∘NaN=≴∭⊉14425","layer":2},{"info":"≴∭⊉3335⪃⊛⇣≴∭⊉11535=≴∭⊉3412","layer":3},{"info":"≴∭⊉3105⊔≴∭⊉10360=≴∭⊉52034","layer":3},{"info":"≴∭⊉3412⨥⫆≴∭⊉52034=≴∭⊉133533","layer":2},{"info":"≴∭⊉14425∇⊂⋱≴∭⊉133533=≴∭⊉30443","layer":1},{"info":"≴∭⊉63534262≝⊿≴∭⊉30443=≴∭⊉-63630202","layer":0}]}
+{"id":656,"expression_no_base_symbol":"((⨙⪌($9857$≥⨤⩑$2456$))⇣⩺⋵(⇵⪽$3079$)↳∿⪆($8027$⩺⋐⫨))⪝((≻⋜$1306$)⪎↠$1169$⋕⪉⪜$1553$↸($6981$⨐$6249$)⇻⋧≁($1796$⊨$4177$))","expression":"((⨙⪌(≴∭⊉40511≥⨤⩑≴∭⊉10106))⇣⩺⋵(⇵⪽≴∭⊉11656)↳∿⪆(≴∭⊉32255⩺⋐⫨))⪝((≻⋜≴∭⊉3544)⪎↠≴∭⊉3260⋕⪉⪜≴∭⊉4346↸(≴∭⊉26232⨐≴∭⊉24135)⇻⋧≁(≴∭⊉5144⊨≴∭⊉15115))","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":12304,"operation_count":14,"complexity_ratio":878.8571428571429,"tree":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":9857,"base":7},"right_expr":{"type":"numeric_atoms","value":2456,"base":7}}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"numeric_atoms","value":3079,"base":7}},"right_expr":{"type":"unary","operator":"⩺⋐⫨","unary_expr":{"type":"numeric_atoms","value":8027,"base":7}}}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"numeric_atoms","value":1306,"base":7}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":1169,"base":7},"right_expr":{"type":"numeric_atoms","value":1553,"base":7}}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":6981,"base":7},"right_expr":{"type":"numeric_atoms","value":6249,"base":7}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":1796,"base":7},"right_expr":{"type":"numeric_atoms","value":4177,"base":7}}}}},"used_operators":["wicAB68Tmb","F4yD0voBRQ","vEGLkm4Z2k","gJLn6v0xnP","Cw4SuJJGHO","ZGCBLdVRRX","yS9ePUuUdn","1eCjFl0mb9","3tVxb0NHM4","3tj9sqzovi","z6LnFrNh4i","jCPkEVoL5K","Noe24qw2ks","vg4gO5BX6G"],"dependent_operators":["L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","U7g4x0WXJJ","9samAPKr6k","j9kHMeSvPp","Tcnh7f0tEr","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=9857","layer":4},{"info":"number node, value=2456","layer":4},{"info":"compute binary expreesion, left_input=9857, right_input=2456, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":2},{"info":"number node, value=3079","layer":4},{"info":"compute unary expreesion, input=3079, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":3},{"info":"number node, value=8027","layer":4},{"info":"compute unary expreesion, input=8027, op_id = yS9ePUuUdn, unary_op_definition = 'a⩺⋐⫨ = { ((a≣⋋)⨽∌(a⪭a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=868, right_input=nan, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":1},{"info":"number node, value=1306","layer":4},{"info":"compute unary expreesion, input=1306, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":3},{"info":"number node, value=1169","layer":4},{"info":"number node, value=1553","layer":4},{"info":"compute binary expreesion, left_input=1169, right_input=1553, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2802, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=nan","layer":2},{"info":"number node, value=6981","layer":4},{"info":"number node, value=6249","layer":4},{"info":"compute binary expreesion, left_input=6981, right_input=6249, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-13962","layer":3},{"info":"number node, value=1796","layer":4},{"info":"number node, value=4177","layer":4},{"info":"compute binary expreesion, left_input=1796, right_input=4177, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=8215","layer":3},{"info":"compute binary expreesion, left_input=-13962, right_input=8215, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-129035","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-129035, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-260, right_input=nan, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((⨙⪌(≴∭⊉40511≥⨤⩑≴∭⊉10106))⇣⩺⋵(⇵⪽≴∭⊉11656)↳∿⪆(≴∭⊉32255⩺⋐⫨))⪝((≻⋜≴∭⊉3544)⪎↠≴∭⊉3260⋕⪉⪜≴∭⊉4346↸(≴∭⊉26232⨐≴∭⊉24135)⇻⋧≁(≴∭⊉5144⊨≴∭⊉15115))=NaN","reverse_text":"NaN=((⨙⪌(≴∭⊉40511≥⨤⩑≴∭⊉10106))⇣⩺⋵(⇵⪽≴∭⊉11656)↳∿⪆(≴∭⊉32255⩺⋐⫨))⪝((≻⋜≴∭⊉3544)⪎↠≴∭⊉3260⋕⪉⪜≴∭⊉4346↸(≴∭⊉26232⨐≴∭⊉24135)⇻⋧≁(≴∭⊉5144⊨≴∭⊉15115))","cot":[{"info":"≴∭⊉40511≥⨤⩑≴∭⊉10106=≴∭⊉3412","layer":3},{"info":"⨙⪌≴∭⊉3412=≴∭⊉2350","layer":2},{"info":"⇵⪽≴∭⊉11656=NaN","layer":3},{"info":"≴∭⊉32255⩺⋐⫨=≴∭⊉0","layer":3},{"info":"NaN↳∿⪆≴∭⊉0=NaN","layer":2},{"info":"≴∭⊉2350⇣⩺⋵NaN=≴∭⊉-521","layer":1},{"info":"≻⋜≴∭⊉3544=NaN","layer":3},{"info":"≴∭⊉3260⋕⪉⪜≴∭⊉4346=≴∭⊉11112","layer":3},{"info":"NaN⪎↠≴∭⊉11112=NaN","layer":2},{"info":"≴∭⊉26232⨐≴∭⊉24135=≴∭⊉-55464","layer":3},{"info":"≴∭⊉5144⊨≴∭⊉15115=≴∭⊉32644","layer":3},{"info":"≴∭⊉-55464⇻⋧≁≴∭⊉32644=≴∭⊉-1045124","layer":2},{"info":"NaN↸≴∭⊉-1045124=NaN","layer":1},{"info":"≴∭⊉-521⪝NaN=NaN","layer":0}]}
+{"id":657,"expression_no_base_symbol":"(↔($3617$⩧⪆$6237$))⇤((≘$3030$)⊨$2249$≒∊$4131$)⫌⩉⩟(∓⪦((↽≂$2174$)⫸⇳$1157$⪬$1090$))","expression":"(↔(≴∭⊉13355⩧⪆≴∭⊉24120))⇤((≘≴∭⊉11556)⊨≴∭⊉6362≒∊≴∭⊉15021)⫌⩉⩟(∓⪦((↽≂≴∭⊉6224)⫸⇳≴∭⊉3242⪬≴∭⊉3115))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":20400,"operation_count":11,"complexity_ratio":1854.5454545454545,"tree":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":3617,"base":7},"right_expr":{"type":"numeric_atoms","value":6237,"base":7}}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"numeric_atoms","value":3030,"base":7}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":2249,"base":7},"right_expr":{"type":"numeric_atoms","value":4131,"base":7}}}},"right_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":2174,"base":7}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":1157,"base":7},"right_expr":{"type":"numeric_atoms","value":1090,"base":7}}}}},"used_operators":["XIIwhv8d0m","YSKBFp38Pu","ruOEQAzv1W","Ikt5ks8PT7","vg4gO5BX6G","tcjXMdvYtA","5KTvxBwnZo","D309nIvmXG","gx7XJ7hdpj","u6S6b8DprG","Ez1Nq5fNfI"],"dependent_operators":["B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","eewbuw0ToL","t8gj7n24qd","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y"],"result":"≴∭⊉-101","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3617","layer":4},{"info":"number node, value=6237","layer":4},{"info":"compute binary expreesion, left_input=3617, right_input=6237, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-6237","layer":3},{"info":"compute unary expreesion, input=-6237, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":2},{"info":"number node, value=3030","layer":4},{"info":"compute unary expreesion, input=3030, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=6681934","layer":3},{"info":"number node, value=2249","layer":4},{"info":"number node, value=4131","layer":4},{"info":"compute binary expreesion, left_input=2249, right_input=4131, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-1765","layer":3},{"info":"compute binary expreesion, left_input=6681934, right_input=-1765, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=26728767","layer":2},{"info":"compute binary expreesion, left_input=-134, right_input=26728767, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-133640317","layer":1},{"info":"number node, value=2174","layer":4},{"info":"compute unary expreesion, input=2174, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-4348","layer":3},{"info":"number node, value=1157","layer":4},{"info":"number node, value=1090","layer":4},{"info":"compute binary expreesion, left_input=1157, right_input=1090, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=-4348, right_input=1234, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=-2119","layer":1},{"info":"compute binary expreesion, left_input=-133640317, right_input=-2119, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":0}],"base":7,"result_base":7,"text":"(↔(≴∭⊉13355⩧⪆≴∭⊉24120))⇤((≘≴∭⊉11556)⊨≴∭⊉6362≒∊≴∭⊉15021)⫌⩉⩟(∓⪦((↽≂≴∭⊉6224)⫸⇳≴∭⊉3242⪬≴∭⊉3115))=≴∭⊉-101","reverse_text":"≴∭⊉-101=(↔(≴∭⊉13355⩧⪆≴∭⊉24120))⇤((≘≴∭⊉11556)⊨≴∭⊉6362≒∊≴∭⊉15021)⫌⩉⩟(∓⪦((↽≂≴∭⊉6224)⫸⇳≴∭⊉3242⪬≴∭⊉3115))","cot":[{"info":"≴∭⊉13355⩧⪆≴∭⊉24120=≴∭⊉-24120","layer":3},{"info":"↔≴∭⊉-24120=≴∭⊉-251","layer":2},{"info":"≘≴∭⊉11556=≴∭⊉110536600","layer":3},{"info":"≴∭⊉6362≒∊≴∭⊉15021=≴∭⊉-5101","layer":3},{"info":"≴∭⊉110536600⊨≴∭⊉-5101=≴∭⊉443122302","layer":2},{"info":"≴∭⊉-251⇤≴∭⊉443122302=≴∭⊉-3211631626","layer":1},{"info":"↽≂≴∭⊉6224=≴∭⊉-15451","layer":3},{"info":"≴∭⊉3242⪬≴∭⊉3115=≴∭⊉3412","layer":3},{"info":"≴∭⊉-15451⫸⇳≴∭⊉3412=≴∭⊉0","layer":2},{"info":"∓⪦≴∭⊉0=≴∭⊉-6115","layer":1},{"info":"≴∭⊉-3211631626⫌⩉⩟≴∭⊉-6115=≴∭⊉-101","layer":0}]}
+{"id":658,"expression_no_base_symbol":"($1417$⨥⫆$3151$⪇≇⋚$1785$⪭$2511$⫌⩉⩟(↣≠⋷$5675$)⨔⇊($4286$↼⊘⨖$3723$))∁","expression":"(≴∭⊉4063⨥⫆≴∭⊉12121⪇≇⋚≴∭⊉5130⪭≴∭⊉10215⫌⩉⩟(↣≠⋷≴∭⊉22355)⨔⇊(≴∭⊉15332↼⊘⨖≴∭⊉13566))∁","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":37133,"operation_count":8,"complexity_ratio":4641.625,"tree":{"type":"unary","operator":"∁","unary_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":1417,"base":7},"right_expr":{"type":"numeric_atoms","value":3151,"base":7}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":1785,"base":7},"right_expr":{"type":"numeric_atoms","value":2511,"base":7}}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":5675,"base":7}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":4286,"base":7},"right_expr":{"type":"numeric_atoms","value":3723,"base":7}}}}},"used_operators":["jdwGQqwJi5","XIIwhv8d0m","3sJ7IOPOlU","yXekIHxTD4","j9kHMeSvPp","JclMnS0uGI","Asc51vEJeQ","bPywburJMS"],"dependent_operators":["2DDjHMKMc0","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","COABgblf1C","xUOZtlo3hN","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","XhwjNDsVaA","AHs5Up7iyr","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd"],"result":"≴∭⊉-101","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1417","layer":4},{"info":"number node, value=3151","layer":4},{"info":"compute binary expreesion, left_input=1417, right_input=3151, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=6178","layer":3},{"info":"number node, value=1785","layer":4},{"info":"number node, value=2511","layer":4},{"info":"compute binary expreesion, left_input=1785, right_input=2511, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"compute binary expreesion, left_input=6178, right_input=5, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":2},{"info":"number node, value=5675","layer":4},{"info":"compute unary expreesion, input=5675, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=4286","layer":4},{"info":"number node, value=3723","layer":4},{"info":"compute binary expreesion, left_input=4286, right_input=3723, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=7224","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7224, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=7224","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=7224, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":1},{"info":"compute unary expreesion, input=-50, op_id = jdwGQqwJi5, unary_op_definition = 'a∁ = { (a⋝⋈⪟a) }', output=-50","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉4063⨥⫆≴∭⊉12121⪇≇⋚≴∭⊉5130⪭≴∭⊉10215⫌⩉⩟(↣≠⋷≴∭⊉22355)⨔⇊(≴∭⊉15332↼⊘⨖≴∭⊉13566))∁=≴∭⊉-101","reverse_text":"≴∭⊉-101=(≴∭⊉4063⨥⫆≴∭⊉12121⪇≇⋚≴∭⊉5130⪭≴∭⊉10215⫌⩉⩟(↣≠⋷≴∭⊉22355)⨔⇊(≴∭⊉15332↼⊘⨖≴∭⊉13566))∁","cot":[{"info":"≴∭⊉4063⨥⫆≴∭⊉12121=≴∭⊉24004","layer":3},{"info":"≴∭⊉5130⪭≴∭⊉10215=≴∭⊉5","layer":3},{"info":"≴∭⊉24004⪇≇⋚≴∭⊉5=≴∭⊉0","layer":2},{"info":"↣≠⋷≴∭⊉22355=NaN","layer":3},{"info":"≴∭⊉15332↼⊘⨖≴∭⊉13566=≴∭⊉30030","layer":3},{"info":"NaN⨔⇊≴∭⊉30030=≴∭⊉30030","layer":2},{"info":"≴∭⊉0⫌⩉⩟≴∭⊉30030=≴∭⊉-101","layer":1},{"info":"≴∭⊉-101∁=≴∭⊉-101","layer":0}]}
+{"id":659,"expression_no_base_symbol":"(⊗($7385$⩘$5634$⪍↜⋙(⪹$3917$)))⊾⪯⋞(($2747$⋅⇍$5120$)⪶≀⋏(∤$1024$))↳≱(⨰⫟⨤$1823$⨑⩅≇$4818$)","expression":"(⊗(≴∭⊉30350⩘≴∭⊉22266⪍↜⋙(⪹≴∭⊉14264)))⊾⪯⋞((≴∭⊉11003⋅⇍≴∭⊉20633)⪶≀⋏(∤≴∭⊉2662))↳≱(⨰⫟⨤≴∭⊉5213⨑⩅≇≴∭⊉20022)","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":27921,"operation_count":11,"complexity_ratio":2538.2727272727275,"tree":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":7385,"base":7},"right_expr":{"type":"numeric_atoms","value":5634,"base":7}},"right_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":3917,"base":7}}}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":2747,"base":7},"right_expr":{"type":"numeric_atoms","value":5120,"base":7}},"right_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"numeric_atoms","value":1024,"base":7}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":1823,"base":7},"right_expr":{"type":"numeric_atoms","value":4818,"base":7}}}}},"used_operators":["HK0tfVPux8","RhiyfpczSx","L05ObWFQCd","cHh1gJQ2o6","USyYr0JgAa","JwTKLfZU96","zR4jO40bMj","AdZkA7nFnk","k2HlF1dBQh","Tw270M8GLb","h92wMvzauj"],"dependent_operators":["s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","tifHPKVTfV","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq"],"result":"≴∭⊉-2246","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=7385","layer":4},{"info":"number node, value=5634","layer":4},{"info":"compute binary expreesion, left_input=7385, right_input=5634, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"number node, value=3917","layer":4},{"info":"compute unary expreesion, input=3917, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=-3737","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-3737, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=7794","layer":2},{"info":"compute unary expreesion, input=7794, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-15588","layer":1},{"info":"number node, value=2747","layer":4},{"info":"number node, value=5120","layer":4},{"info":"compute binary expreesion, left_input=2747, right_input=5120, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"number node, value=1024","layer":4},{"info":"compute unary expreesion, input=1024, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=9, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=72","layer":2},{"info":"number node, value=1823","layer":4},{"info":"number node, value=4818","layer":4},{"info":"compute binary expreesion, left_input=1823, right_input=4818, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-5469","layer":3},{"info":"compute unary expreesion, input=-5469, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=72, right_input=nan, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-15588, right_input=0, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=-818","layer":0}],"base":7,"result_base":7,"text":"(⊗(≴∭⊉30350⩘≴∭⊉22266⪍↜⋙(⪹≴∭⊉14264)))⊾⪯⋞((≴∭⊉11003⋅⇍≴∭⊉20633)⪶≀⋏(∤≴∭⊉2662))↳≱(⨰⫟⨤≴∭⊉5213⨑⩅≇≴∭⊉20022)=≴∭⊉-2246","reverse_text":"≴∭⊉-2246=(⊗(≴∭⊉30350⩘≴∭⊉22266⪍↜⋙(⪹≴∭⊉14264)))⊾⪯⋞((≴∭⊉11003⋅⇍≴∭⊉20633)⪶≀⋏(∤≴∭⊉2662))↳≱(⨰⫟⨤≴∭⊉5213⨑⩅≇≴∭⊉20022)","cot":[{"info":"≴∭⊉30350⩘≴∭⊉22266=≴∭⊉316","layer":3},{"info":"⪹≴∭⊉14264=≴∭⊉-13616","layer":3},{"info":"≴∭⊉316⪍↜⋙≴∭⊉-13616=≴∭⊉31503","layer":2},{"info":"⊗≴∭⊉31503=≴∭⊉-63306","layer":1},{"info":"≴∭⊉11003⋅⇍≴∭⊉20633=≴∭⊉-31","layer":3},{"info":"∤≴∭⊉2662=≴∭⊉12","layer":3},{"info":"≴∭⊉-31⪶≀⋏≴∭⊉12=≴∭⊉132","layer":2},{"info":"≴∭⊉5213⨑⩅≇≴∭⊉20022=≴∭⊉-21642","layer":3},{"info":"⨰⫟⨤≴∭⊉-21642=NaN","layer":2},{"info":"≴∭⊉132↳≱NaN=≴∭⊉0","layer":1},{"info":"≴∭⊉-63306⊾⪯⋞≴∭⊉0=≴∭⊉-2246","layer":0}]}
+{"id":660,"expression_no_base_symbol":"($4497$∼$2059$⪶≀⋏$8929$⋛$1087$)⩁⩘(($3531$⫸⊐$1216$)⊝⪿⪼$1197$⨚$2627$)⨒(⫓⪴($8562$+⪬∐$2830$⋝⋈⪟($7542$∵≐)))","expression":"(≴∭⊉16053∼≴∭⊉6001⪶≀⋏≴∭⊉35014⋛≴∭⊉3112)⩁⩘((≴∭⊉13203⫸⊐≴∭⊉3355)⊝⪿⪼≴∭⊉3330⨚≴∭⊉10442)⨒(⫓⪴(≴∭⊉33651+⪬∐≴∭⊉11152⋝⋈⪟(≴∭⊉30663∵≐)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":26160,"operation_count":12,"complexity_ratio":2180.0,"tree":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":4497,"base":7},"right_expr":{"type":"numeric_atoms","value":2059,"base":7}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":8929,"base":7},"right_expr":{"type":"numeric_atoms","value":1087,"base":7}}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3531,"base":7},"right_expr":{"type":"numeric_atoms","value":1216,"base":7}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":1197,"base":7},"right_expr":{"type":"numeric_atoms","value":2627,"base":7}}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":8562,"base":7},"right_expr":{"type":"numeric_atoms","value":2830,"base":7}},"right_expr":{"type":"unary","operator":"∵≐","unary_expr":{"type":"numeric_atoms","value":7542,"base":7}}}}},"used_operators":["y75s1iXyHd","gub5Cegaqo","zR4jO40bMj","DyGG3AbaNP","YbUVn0Rbpy","3Oe9XWJUTD","mqXw5SEYmG","nREPSIbpBE","eLxqMNBOBk","2DDjHMKMc0","2GS7woTJqF","59igzFyhWz"],"dependent_operators":["srAu1WTS94","oacrs7FA3X","7qqUquhhSb","DpFCA1CohY","IWmyXbctLI","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","BjRHVeLaeN","12rbrZMWeM","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","g55IO6H4Gj","D4vGDi5EA2","W4YGzv6Whe","DZ8iAZOCBD","8w2t5hMYqp","Ph9nP6C5qx","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4497","layer":4},{"info":"number node, value=2059","layer":4},{"info":"compute binary expreesion, left_input=4497, right_input=2059, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"number node, value=8929","layer":4},{"info":"number node, value=1087","layer":4},{"info":"compute binary expreesion, left_input=8929, right_input=1087, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-51831","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-51831, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=nan","layer":2},{"info":"number node, value=3531","layer":4},{"info":"number node, value=1216","layer":4},{"info":"compute binary expreesion, left_input=3531, right_input=1216, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4739","layer":3},{"info":"number node, value=1197","layer":4},{"info":"number node, value=2627","layer":4},{"info":"compute binary expreesion, left_input=1197, right_input=2627, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-7180","layer":3},{"info":"compute binary expreesion, left_input=4739, right_input=-7180, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=85811","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=85811, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=nan","layer":1},{"info":"number node, value=8562","layer":4},{"info":"number node, value=2830","layer":4},{"info":"compute binary expreesion, left_input=8562, right_input=2830, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-25686","layer":3},{"info":"number node, value=7542","layer":4},{"info":"compute unary expreesion, input=7542, op_id = 59igzFyhWz, unary_op_definition = 'a∵≐ = { ((a⊉≛↸31)⋳⪒(101+a)) , if a<=828 ; ((⊄⩳↩a)≧⫂∧(a≧⫂∧a)) , else }', output=6596","layer":3},{"info":"compute binary expreesion, left_input=-25686, right_input=6596, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-25686","layer":2},{"info":"compute unary expreesion, input=-25686, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=659770596","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=659770596, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉16053∼≴∭⊉6001⪶≀⋏≴∭⊉35014⋛≴∭⊉3112)⩁⩘((≴∭⊉13203⫸⊐≴∭⊉3355)⊝⪿⪼≴∭⊉3330⨚≴∭⊉10442)⨒(⫓⪴(≴∭⊉33651+⪬∐≴∭⊉11152⋝⋈⪟(≴∭⊉30663∵≐)))=NaN","reverse_text":"NaN=(≴∭⊉16053∼≴∭⊉6001⪶≀⋏≴∭⊉35014⋛≴∭⊉3112)⩁⩘((≴∭⊉13203⫸⊐≴∭⊉3355)⊝⪿⪼≴∭⊉3330⨚≴∭⊉10442)⨒(⫓⪴(≴∭⊉33651+⪬∐≴∭⊉11152⋝⋈⪟(≴∭⊉30663∵≐)))","cot":[{"info":"≴∭⊉16053∼≴∭⊉6001=NaN","layer":3},{"info":"≴∭⊉35014⋛≴∭⊉3112=≴∭⊉-304053","layer":3},{"info":"NaN⪶≀⋏≴∭⊉-304053=NaN","layer":2},{"info":"≴∭⊉13203⫸⊐≴∭⊉3355=≴∭⊉16550","layer":3},{"info":"≴∭⊉3330⨚≴∭⊉10442=≴∭⊉-26635","layer":3},{"info":"≴∭⊉16550⊝⪿⪼≴∭⊉-26635=≴∭⊉505115","layer":2},{"info":"NaN⩁⩘≴∭⊉505115=NaN","layer":1},{"info":"≴∭⊉33651+⪬∐≴∭⊉11152=≴∭⊉-134613","layer":3},{"info":"≴∭⊉30663∵≐=≴∭⊉25142","layer":3},{"info":"≴∭⊉-134613⋝⋈⪟≴∭⊉25142=≴∭⊉-134613","layer":2},{"info":"⫓⪴≴∭⊉-134613=≴∭⊉22230646302","layer":1},{"info":"NaN⨒≴∭⊉22230646302=NaN","layer":0}]}
+{"id":661,"expression_no_base_symbol":"(≱⇩⩕($1078$⨔≚≋$1905$)⊕∕($3873$⇮⋭$2948$))⨐((↩⪖$3399$)⪭(⨈⪑$1451$)⪇≇⋚(⊙↵-$2912$⇂≾⫗$2134$))","expression":"(≱⇩⩕(≴∭⊉3100⨔≚≋≴∭⊉5361)⊕∕(≴∭⊉14202⇮⋭≴∭⊉11411))⨐((↩⪖≴∭⊉12624)⪭(⨈⪑≴∭⊉4142)⪇≇⋚(⊙↵-≴∭⊉11330⇂≾⫗≴∭⊉6136))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1006,"operation_count":11,"complexity_ratio":91.45454545454545,"tree":{"type":"binary","operator":"⨐","left_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":1078,"base":7},"right_expr":{"type":"numeric_atoms","value":1905,"base":7}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":3873,"base":7},"right_expr":{"type":"numeric_atoms","value":2948,"base":7}}}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"numeric_atoms","value":3399,"base":7}},"right_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"numeric_atoms","value":1451,"base":7}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":2912,"base":7},"right_expr":{"type":"numeric_atoms","value":2134,"base":7}}}}},"used_operators":["Noe24qw2ks","3DZMoQKiUl","9cloC0Ngie","Z57zeUYC9z","vkpjKywKVM","3sJ7IOPOlU","j9kHMeSvPp","fG6uBQFnGz","mp94q5OcYM","oWn0xqSxBt","aBQ6xLxuTc"],"dependent_operators":["u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","COABgblf1C","xUOZtlo3hN","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U"],"result":"≴∭⊉-442","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1078","layer":4},{"info":"number node, value=1905","layer":4},{"info":"compute binary expreesion, left_input=1078, right_input=1905, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"number node, value=3873","layer":4},{"info":"number node, value=2948","layer":4},{"info":"compute binary expreesion, left_input=3873, right_input=2948, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute binary expreesion, left_input=9872, right_input=-473, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=9872","layer":2},{"info":"compute unary expreesion, input=9872, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":1},{"info":"number node, value=3399","layer":4},{"info":"compute unary expreesion, input=3399, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-23376","layer":3},{"info":"number node, value=1451","layer":4},{"info":"compute unary expreesion, input=1451, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=-23376, right_input=868, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=23202","layer":2},{"info":"number node, value=2912","layer":4},{"info":"number node, value=2134","layer":4},{"info":"compute binary expreesion, left_input=2912, right_input=2134, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"compute unary expreesion, input=-676, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=196","layer":2},{"info":"compute binary expreesion, left_input=23202, right_input=196, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=113, right_input=0, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-226","layer":0}],"base":7,"result_base":7,"text":"(≱⇩⩕(≴∭⊉3100⨔≚≋≴∭⊉5361)⊕∕(≴∭⊉14202⇮⋭≴∭⊉11411))⨐((↩⪖≴∭⊉12624)⪭(⨈⪑≴∭⊉4142)⪇≇⋚(⊙↵-≴∭⊉11330⇂≾⫗≴∭⊉6136))=≴∭⊉-442","reverse_text":"≴∭⊉-442=(≱⇩⩕(≴∭⊉3100⨔≚≋≴∭⊉5361)⊕∕(≴∭⊉14202⇮⋭≴∭⊉11411))⨐((↩⪖≴∭⊉12624)⪭(⨈⪑≴∭⊉4142)⪇≇⋚(⊙↵-≴∭⊉11330⇂≾⫗≴∭⊉6136))","cot":[{"info":"≴∭⊉3100⨔≚≋≴∭⊉5361=≴∭⊉40532","layer":3},{"info":"≴∭⊉14202⇮⋭≴∭⊉11411=≴∭⊉-1244","layer":3},{"info":"≴∭⊉40532⊕∕≴∭⊉-1244=≴∭⊉40532","layer":2},{"info":"≱⇩⩕≴∭⊉40532=≴∭⊉221","layer":1},{"info":"↩⪖≴∭⊉12624=≴∭⊉-125103","layer":3},{"info":"⨈⪑≴∭⊉4142=≴∭⊉2350","layer":3},{"info":"≴∭⊉-125103⪭≴∭⊉2350=≴∭⊉124434","layer":2},{"info":"≴∭⊉11330⇂≾⫗≴∭⊉6136=≴∭⊉-1654","layer":3},{"info":"⊙↵-≴∭⊉-1654=≴∭⊉400","layer":2},{"info":"≴∭⊉124434⪇≇⋚≴∭⊉400=≴∭⊉0","layer":1},{"info":"≴∭⊉221⨐≴∭⊉0=≴∭⊉-442","layer":0}]}
+{"id":662,"expression_no_base_symbol":"(⊖(∂$1060$)⩌⋺($1082$⪃↞⩐))⨂≜((≘$1324$)∓⋝(⪡⇡≛$4734$)⩵∡$1621$⨐$1668$⩍⋽⫝̸($5410$⨟⋌⩍$6437$))","expression":"(⊖(∂≴∭⊉3043)⩌⋺(≴∭⊉3104⪃↞⩐))⨂≜((≘≴∭⊉3601)∓⋝(⪡⇡≛≴∭⊉16542)⩵∡≴∭⊉4504⨐≴∭⊉4602⩍⋽⫝̸(≴∭⊉21526⨟⋌⩍≴∭⊉24524))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1056,"operation_count":12,"complexity_ratio":88.0,"tree":{"type":"binary","operator":"⨂≜","left_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1060,"base":7}},"right_expr":{"type":"unary","operator":"⪃↞⩐","unary_expr":{"type":"numeric_atoms","value":1082,"base":7}}}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"numeric_atoms","value":1324,"base":7}},"right_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"numeric_atoms","value":4734,"base":7}}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":1621,"base":7},"right_expr":{"type":"numeric_atoms","value":1668,"base":7}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":5410,"base":7},"right_expr":{"type":"numeric_atoms","value":6437,"base":7}}}}},"used_operators":["k1SHOSEABc","U6pG0PXrV3","g7Hmc5v1ko","Uaa54Peajs","grXIztHqDa","Y7wcNGrDQJ","PoHhknlbAi","tcjXMdvYtA","qL4PrbW1Dq","BiWNJpBvwn","Noe24qw2ks","rGHVDoGpnC"],"dependent_operators":["9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","IwW236VD4Y","bF6eod5Gvf","l07mrZUIn9","NTOWxs364D","glklzrTFfD","tifHPKVTfV","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","Ph9nP6C5qx","xUOZtlo3hN","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1060","layer":4},{"info":"compute unary expreesion, input=1060, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"number node, value=1082","layer":4},{"info":"compute unary expreesion, input=1082, op_id = grXIztHqDa, unary_op_definition = 'a⪃↞⩐ = { ((a→⨶⪴a)≠≀(a↪⪝)) }', output=6798","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6798, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=nan","layer":1},{"info":"number node, value=1324","layer":4},{"info":"compute unary expreesion, input=1324, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=2920204","layer":3},{"info":"number node, value=4734","layer":4},{"info":"compute unary expreesion, input=4734, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-4734","layer":3},{"info":"compute binary expreesion, left_input=2920204, right_input=-4734, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":2},{"info":"number node, value=1621","layer":4},{"info":"number node, value=1668","layer":4},{"info":"compute binary expreesion, left_input=1621, right_input=1668, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-3242","layer":3},{"info":"number node, value=5410","layer":4},{"info":"number node, value=6437","layer":4},{"info":"compute binary expreesion, left_input=5410, right_input=6437, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-3242, right_input=nan, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(⊖(∂≴∭⊉3043)⩌⋺(≴∭⊉3104⪃↞⩐))⨂≜((≘≴∭⊉3601)∓⋝(⪡⇡≛≴∭⊉16542)⩵∡≴∭⊉4504⨐≴∭⊉4602⩍⋽⫝̸(≴∭⊉21526⨟⋌⩍≴∭⊉24524))=NaN","reverse_text":"NaN=(⊖(∂≴∭⊉3043)⩌⋺(≴∭⊉3104⪃↞⩐))⨂≜((≘≴∭⊉3601)∓⋝(⪡⇡≛≴∭⊉16542)⩵∡≴∭⊉4504⨐≴∭⊉4602⩍⋽⫝̸(≴∭⊉21526⨟⋌⩍≴∭⊉24524))","cot":[{"info":"∂≴∭⊉3043=NaN","layer":3},{"info":"≴∭⊉3104⪃↞⩐=≴∭⊉25551","layer":3},{"info":"NaN⩌⋺≴∭⊉25551=NaN","layer":2},{"info":"⊖NaN=NaN","layer":1},{"info":"≘≴∭⊉3601=≴∭⊉33551500","layer":3},{"info":"⪡⇡≛≴∭⊉16542=≴∭⊉-16542","layer":3},{"info":"≴∭⊉33551500∓⋝≴∭⊉-16542=≴∭⊉124","layer":2},{"info":"≴∭⊉4504⨐≴∭⊉4602=≴∭⊉-12311","layer":3},{"info":"≴∭⊉21526⨟⋌⩍≴∭⊉24524=NaN","layer":3},{"info":"≴∭⊉-12311⩍⋽⫝̸NaN=NaN","layer":2},{"info":"≴∭⊉124⩵∡NaN=NaN","layer":1},{"info":"NaN⨂≜NaN=NaN","layer":0}]}
+{"id":663,"expression_no_base_symbol":"((≪$3749$)⨽$3382$∊∟⩊$1403$⪁(⋠∜($1507$⇴∐$2060$)))⩣⫁∢((⫟$3310$⨟⋌⩍$2659$)⨰(($2425$⫩⊇)⩚⊴⇥$3166$⩇∃⫛$1943$))","expression":"((≪≴∭⊉13634)⨽≴∭⊉12601∊∟⩊≴∭⊉4043⪁(⋠∜(≴∭⊉4252⇴∐≴∭⊉6002)))⩣⫁∢((⫟≴∭⊉12436⨟⋌⩍≴∭⊉10516)⨰((≴∭⊉10033⫩⊇)⩚⊴⇥≴∭⊉12142⩇∃⫛≴∭⊉5444))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1171,"operation_count":13,"complexity_ratio":90.07692307692308,"tree":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"numeric_atoms","value":3749,"base":7}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":3382,"base":7},"right_expr":{"type":"numeric_atoms","value":1403,"base":7}}},"right_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":1507,"base":7},"right_expr":{"type":"numeric_atoms","value":2060,"base":7}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":3310,"base":7},"right_expr":{"type":"numeric_atoms","value":2659,"base":7}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":2425,"base":7}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":3166,"base":7},"right_expr":{"type":"numeric_atoms","value":1943,"base":7}}}}},"used_operators":["JDUIKTTSIa","I7sXao9hZE","8HhzD0ZcuI","Qtd6bqUJcN","ddLRYrp01A","ZJpFhNJr3x","HnzytWxmAO","eewbuw0ToL","z4E1FaHLuy","rGHVDoGpnC","NTOWxs364D","BjRHVeLaeN","1aApVXNlOP"],"dependent_operators":["sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3749","layer":4},{"info":"compute unary expreesion, input=3749, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":3},{"info":"number node, value=3382","layer":4},{"info":"number node, value=1403","layer":4},{"info":"compute binary expreesion, left_input=3382, right_input=1403, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=1403","layer":3},{"info":"compute binary expreesion, left_input=913, right_input=1403, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-2503602","layer":2},{"info":"number node, value=1507","layer":4},{"info":"number node, value=2060","layer":4},{"info":"compute binary expreesion, left_input=1507, right_input=2060, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=67","layer":2},{"info":"compute binary expreesion, left_input=-2503602, right_input=67, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":1},{"info":"number node, value=3310","layer":4},{"info":"number node, value=2659","layer":4},{"info":"compute binary expreesion, left_input=3310, right_input=2659, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = z4E1FaHLuy, unary_op_definition = '⫟a = { (((-a)⪨≂(a⨸⪁a))≧⫂∧((a⩷∴a)⨰(a⫡⨏a))) , if (a⫌⩹⨱)>=11 ; (((a+263)⋝⋈⪟(a⨳⩥⨓a))⪒((a⋥≓≎a)⫩⊇)) , else }', output=nan","layer":2},{"info":"number node, value=2425","layer":4},{"info":"compute unary expreesion, input=2425, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-2383","layer":3},{"info":"number node, value=3166","layer":4},{"info":"number node, value=1943","layer":4},{"info":"compute binary expreesion, left_input=3166, right_input=1943, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=-750","layer":3},{"info":"compute binary expreesion, left_input=-2383, right_input=-750, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=3012","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3012, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((≪≴∭⊉13634)⨽≴∭⊉12601∊∟⩊≴∭⊉4043⪁(⋠∜(≴∭⊉4252⇴∐≴∭⊉6002)))⩣⫁∢((⫟≴∭⊉12436⨟⋌⩍≴∭⊉10516)⨰((≴∭⊉10033⫩⊇)⩚⊴⇥≴∭⊉12142⩇∃⫛≴∭⊉5444))=NaN","reverse_text":"NaN=((≪≴∭⊉13634)⨽≴∭⊉12601∊∟⩊≴∭⊉4043⪁(⋠∜(≴∭⊉4252⇴∐≴∭⊉6002)))⩣⫁∢((⫟≴∭⊉12436⨟⋌⩍≴∭⊉10516)⨰((≴∭⊉10033⫩⊇)⩚⊴⇥≴∭⊉12142⩇∃⫛≴∭⊉5444))","cot":[{"info":"≪≴∭⊉13634=≴∭⊉2443","layer":3},{"info":"≴∭⊉12601∊∟⩊≴∭⊉4043=≴∭⊉4043","layer":3},{"info":"≴∭⊉2443⨽≴∭⊉4043=≴∭⊉-30165063","layer":2},{"info":"≴∭⊉4252⇴∐≴∭⊉6002=NaN","layer":3},{"info":"⋠∜NaN=≴∭⊉124","layer":2},{"info":"≴∭⊉-30165063⪁≴∭⊉124=NaN","layer":1},{"info":"≴∭⊉12436⨟⋌⩍≴∭⊉10516=NaN","layer":3},{"info":"⫟NaN=NaN","layer":2},{"info":"≴∭⊉10033⫩⊇=≴∭⊉-6643","layer":3},{"info":"≴∭⊉12142⩇∃⫛≴∭⊉5444=≴∭⊉-2121","layer":3},{"info":"≴∭⊉-6643⩚⊴⇥≴∭⊉-2121=≴∭⊉11532","layer":2},{"info":"NaN⨰≴∭⊉11532=NaN","layer":1},{"info":"NaN⩣⫁∢NaN=NaN","layer":0}]}
+{"id":664,"expression_no_base_symbol":"(⪭⩑⪱($2987$⊬⨰$3953$⪕$3918$≦↸$3797$))⇚⪠","expression":"(⪭⩑⪱(≴∭⊉11465⊬⨰≴∭⊉14345⪕≴∭⊉14265≦↸≴∭⊉14033))⇚⪠","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":8358068,"operation_count":5,"complexity_ratio":1671613.6,"tree":{"type":"unary","operator":"⇚⪠","unary_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":2987,"base":7},"right_expr":{"type":"numeric_atoms","value":3953,"base":7}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":3918,"base":7},"right_expr":{"type":"numeric_atoms","value":3797,"base":7}}}}},"used_operators":["Loh9y4A90B","SIgE0bArFf","umQnsF7QlU","s3Fd5m9Dh2","RygbFNSyEJ"],"dependent_operators":["Z5m6OM72h2","9HNa5Wba9A","ztP7wcbY7m","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj"],"result":"Inf","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2987","layer":4},{"info":"number node, value=3953","layer":4},{"info":"compute binary expreesion, left_input=2987, right_input=3953, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=17743","layer":3},{"info":"number node, value=3918","layer":4},{"info":"number node, value=3797","layer":4},{"info":"compute binary expreesion, left_input=3918, right_input=3797, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-14749","layer":3},{"info":"compute binary expreesion, left_input=17743, right_input=-14749, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=935","layer":2},{"info":"compute unary expreesion, input=935, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":1},{"info":"compute unary expreesion, input=8320752, op_id = Loh9y4A90B, unary_op_definition = 'a⇚⪠ = { ((a∘(a∈))*a) }', output=inf","layer":0}],"base":7,"result_base":7,"text":"(⪭⩑⪱(≴∭⊉11465⊬⨰≴∭⊉14345⪕≴∭⊉14265≦↸≴∭⊉14033))⇚⪠=Inf","reverse_text":"Inf=(⪭⩑⪱(≴∭⊉11465⊬⨰≴∭⊉14345⪕≴∭⊉14265≦↸≴∭⊉14033))⇚⪠","cot":[{"info":"≴∭⊉11465⊬⨰≴∭⊉14345=≴∭⊉102505","layer":3},{"info":"≴∭⊉14265≦↸≴∭⊉14033=≴∭⊉-61000","layer":3},{"info":"≴∭⊉102505⪕≴∭⊉-61000=≴∭⊉2504","layer":2},{"info":"⪭⩑⪱≴∭⊉2504=≴∭⊉130503516","layer":1},{"info":"≴∭⊉130503516⇚⪠=Inf","layer":0}]}
+{"id":665,"expression_no_base_symbol":"(⨣⨃⇪($1500$⫣⪄⊒$8069$∛($6909$∙⊟$3780$)))⨳⩥⨓(∤$5045$)⨜⨶($6746$∀⇚≩$1981$)⪢((↥$1186$)+(≀↧⇸$5833$))","expression":"(⨣⨃⇪(≴∭⊉4242⫣⪄⊒≴∭⊉32345∛(≴∭⊉26100∙⊟≴∭⊉14010)))⨳⩥⨓(∤≴∭⊉20465)⨜⨶(≴∭⊉25445∀⇚≩≴∭⊉5530)⪢((↥≴∭⊉3313)+(≀↧⇸≴∭⊉23002))","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":66075,"operation_count":12,"complexity_ratio":5506.25,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":1500,"base":7},"right_expr":{"type":"numeric_atoms","value":8069,"base":7}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":6909,"base":7},"right_expr":{"type":"numeric_atoms","value":3780,"base":7}}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"numeric_atoms","value":5045,"base":7}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":6746,"base":7},"right_expr":{"type":"numeric_atoms","value":1981,"base":7}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":1186,"base":7}},"right_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"numeric_atoms","value":5833,"base":7}}}}},"used_operators":["nCS4ZIUYfx","AcOhelriW5","w2537kitQq","RabNbG55vr","SxTAKzQCrw","dWAJyo7jo9","HiPekx5b7W","k2HlF1dBQh","LRNGc0VcxI","W4YGzv6Whe","A8NUZmVepG","ljTHtUsqzn"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","k8jYdgA6NY","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","X99M06cbEe","k8jYdgA6NY","XPYlsWDdGa","23Mk6UjR3U"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1500","layer":4},{"info":"number node, value=8069","layer":4},{"info":"compute binary expreesion, left_input=1500, right_input=8069, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-45926","layer":3},{"info":"number node, value=6909","layer":4},{"info":"number node, value=3780","layer":4},{"info":"compute binary expreesion, left_input=6909, right_input=3780, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=99663","layer":3},{"info":"compute binary expreesion, left_input=-45926, right_input=99663, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-676","layer":2},{"info":"compute unary expreesion, input=-676, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":1},{"info":"number node, value=5045","layer":4},{"info":"compute unary expreesion, input=5045, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":3},{"info":"number node, value=6746","layer":4},{"info":"number node, value=1981","layer":4},{"info":"compute binary expreesion, left_input=6746, right_input=1981, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=9, right_input=nan, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=nan","layer":2},{"info":"number node, value=1186","layer":4},{"info":"compute unary expreesion, input=1186, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=13","layer":3},{"info":"number node, value=5833","layer":4},{"info":"compute unary expreesion, input=5833, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=11666","layer":3},{"info":"compute binary expreesion, left_input=13, right_input=11666, op_id = W4YGzv6Whe binary_op_definition= 'None', output=11679","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=11679, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1405, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(⨣⨃⇪(≴∭⊉4242⫣⪄⊒≴∭⊉32345∛(≴∭⊉26100∙⊟≴∭⊉14010)))⨳⩥⨓(∤≴∭⊉20465)⨜⨶(≴∭⊉25445∀⇚≩≴∭⊉5530)⪢((↥≴∭⊉3313)+(≀↧⇸≴∭⊉23002))=NaN","reverse_text":"NaN=(⨣⨃⇪(≴∭⊉4242⫣⪄⊒≴∭⊉32345∛(≴∭⊉26100∙⊟≴∭⊉14010)))⨳⩥⨓(∤≴∭⊉20465)⨜⨶(≴∭⊉25445∀⇚≩≴∭⊉5530)⪢((↥≴∭⊉3313)+(≀↧⇸≴∭⊉23002))","cot":[{"info":"≴∭⊉4242⫣⪄⊒≴∭⊉32345=≴∭⊉-250616","layer":3},{"info":"≴∭⊉26100∙⊟≴∭⊉14010=≴∭⊉563364","layer":3},{"info":"≴∭⊉-250616∛≴∭⊉563364=≴∭⊉-1654","layer":2},{"info":"⨣⨃⇪≴∭⊉-1654=≴∭⊉4045","layer":1},{"info":"∤≴∭⊉20465=≴∭⊉12","layer":3},{"info":"≴∭⊉25445∀⇚≩≴∭⊉5530=NaN","layer":3},{"info":"≴∭⊉12⨜⨶NaN=NaN","layer":2},{"info":"↥≴∭⊉3313=≴∭⊉16","layer":3},{"info":"≀↧⇸≴∭⊉23002=≴∭⊉46004","layer":3},{"info":"≴∭⊉16+≴∭⊉46004=≴∭⊉46023","layer":2},{"info":"NaN⪢≴∭⊉46023=NaN","layer":1},{"info":"≴∭⊉4045⨳⩥⨓NaN=NaN","layer":0}]}
+{"id":666,"expression_no_base_symbol":"(⫯(→⩰$1101$⪮%⊝$1925$))⨚($4613$⩺⪪$2215$⊉≛↸($1217$⩅⪻⪻)+$5926$⊋$7054$⇄($3668$∽$1925$))","expression":"(⫯(→⩰≴∭⊉3132⪮%⊝≴∭⊉5420))⨚(≴∭⊉16310⩺⪪≴∭⊉6313⊉≛↸(≴∭⊉3356⩅⪻⪻)+≴∭⊉23164⊋≴∭⊉26365⇄(≴∭⊉13460∽≴∭⊉5420))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":5460,"operation_count":11,"complexity_ratio":496.3636363636364,"tree":{"type":"binary","operator":"⨚","left_expr":{"type":"unary","operator":"⫯","unary_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1101,"base":7},"right_expr":{"type":"numeric_atoms","value":1925,"base":7}}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":4613,"base":7},"right_expr":{"type":"numeric_atoms","value":2215,"base":7}},"right_expr":{"type":"unary","operator":"⩅⪻⪻","unary_expr":{"type":"numeric_atoms","value":1217,"base":7}}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":5926,"base":7},"right_expr":{"type":"numeric_atoms","value":7054,"base":7}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":3668,"base":7},"right_expr":{"type":"numeric_atoms","value":1925,"base":7}}}}},"used_operators":["nREPSIbpBE","H6BK1Evt7c","o8Pngz0Tml","IWmyXbctLI","W4YGzv6Whe","DZ8iAZOCBD","uvdQJvN4PV","kHoXpA7yos","3EYGwJThht","W4tP9CfskL","y4ImoPnbV5"],"dependent_operators":["BjRHVeLaeN","12rbrZMWeM","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","SUmda5xLS4","KPf6cnQVty","8HhzD0ZcuI","9Isq31Ruls","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","NTOWxs364D","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1101","layer":4},{"info":"number node, value=1925","layer":4},{"info":"compute binary expreesion, left_input=1101, right_input=1925, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2518","layer":3},{"info":"compute unary expreesion, input=2518, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=nan","layer":1},{"info":"number node, value=4613","layer":4},{"info":"number node, value=2215","layer":4},{"info":"compute binary expreesion, left_input=4613, right_input=2215, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-39266","layer":3},{"info":"number node, value=1217","layer":4},{"info":"compute unary expreesion, input=1217, op_id = kHoXpA7yos, unary_op_definition = 'a⩅⪻⪻ = { (a⪄((a∌↝a)⨽(a∺≝⩲a))) }', output=-179541","layer":3},{"info":"compute binary expreesion, left_input=-39266, right_input=-179541, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=179541","layer":2},{"info":"number node, value=5926","layer":4},{"info":"number node, value=7054","layer":4},{"info":"compute binary expreesion, left_input=5926, right_input=7054, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=-60753132","layer":3},{"info":"number node, value=3668","layer":4},{"info":"number node, value=1925","layer":4},{"info":"compute binary expreesion, left_input=3668, right_input=1925, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-23937","layer":3},{"info":"compute binary expreesion, left_input=-60753132, right_input=-23937, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=179541, right_input=0, op_id = W4YGzv6Whe binary_op_definition= 'None', output=179541","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=179541, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(⫯(→⩰≴∭⊉3132⪮%⊝≴∭⊉5420))⨚(≴∭⊉16310⩺⪪≴∭⊉6313⊉≛↸(≴∭⊉3356⩅⪻⪻)+≴∭⊉23164⊋≴∭⊉26365⇄(≴∭⊉13460∽≴∭⊉5420))=NaN","reverse_text":"NaN=(⫯(→⩰≴∭⊉3132⪮%⊝≴∭⊉5420))⨚(≴∭⊉16310⩺⪪≴∭⊉6313⊉≛↸(≴∭⊉3356⩅⪻⪻)+≴∭⊉23164⊋≴∭⊉26365⇄(≴∭⊉13460∽≴∭⊉5420))","cot":[{"info":"≴∭⊉3132⪮%⊝≴∭⊉5420=≴∭⊉10225","layer":3},{"info":"→⩰≴∭⊉10225=NaN","layer":2},{"info":"⫯NaN=NaN","layer":1},{"info":"≴∭⊉16310⩺⪪≴∭⊉6313=≴∭⊉-222323","layer":3},{"info":"≴∭⊉3356⩅⪻⪻=≴∭⊉-1345305","layer":3},{"info":"≴∭⊉-222323⊉≛↸≴∭⊉-1345305=≴∭⊉1345305","layer":2},{"info":"≴∭⊉23164⊋≴∭⊉26365=≴∭⊉-1335251556","layer":3},{"info":"≴∭⊉13460∽≴∭⊉5420=≴∭⊉-126534","layer":3},{"info":"≴∭⊉-1335251556⇄≴∭⊉-126534=≴∭⊉0","layer":2},{"info":"≴∭⊉1345305+≴∭⊉0=≴∭⊉1345305","layer":1},{"info":"NaN⨚≴∭⊉1345305=NaN","layer":0}]}
+{"id":667,"expression_no_base_symbol":"(($2342$≓∲$2033$)∇⊂⋱(↪⫪⫘$4246$)⨟⋌⩍($3721$⊋≦⊧$7134$⊋≦⊧($5472$⫥∨⫟$3617$)))→⨶⪴(⩪∧⨌$2260$⋥⋵⩄$1877$)∊∟⩊(↨$1233$)≦↸($1085$⫉⨲⊜$8370$)","expression":"((≴∭⊉6554≓∲≴∭⊉5633)∇⊂⋱(↪⫪⫘≴∭⊉15244)⨟⋌⩍(≴∭⊉13564⊋≦⊧≴∭⊉26541⊋≦⊧(≴∭⊉21645⫥∨⫟≴∭⊉13355)))→⨶⪴(⩪∧⨌≴∭⊉6406⋥⋵⩄≴∭⊉5321)∊∟⩊(↨≴∭⊉3411)≦↸(≴∭⊉3110⫉⨲⊜≴∭⊉33255)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2010,"operation_count":14,"complexity_ratio":143.57142857142858,"tree":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":2342,"base":7},"right_expr":{"type":"numeric_atoms","value":2033,"base":7}},"right_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"numeric_atoms","value":4246,"base":7}}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":3721,"base":7},"right_expr":{"type":"numeric_atoms","value":7134,"base":7}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":5472,"base":7},"right_expr":{"type":"numeric_atoms","value":3617,"base":7}}}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":2260,"base":7},"right_expr":{"type":"numeric_atoms","value":1877,"base":7}}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"numeric_atoms","value":1233,"base":7}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":1085,"base":7},"right_expr":{"type":"numeric_atoms","value":8370,"base":7}}}}},"used_operators":["bF6eod5Gvf","rGHVDoGpnC","nhYeJWJD5X","s1XTVnmDOJ","9dWsAM3GFt","oRDoc9rAEX","KYD54nUTWz","ddLRYrp01A","6iOiAJX1F8","7t3wd0Fuz7","RygbFNSyEJ","jiX4gk2v2Q","WhqkvtTD3t"],"dependent_operators":["8w2t5hMYqp","9FxExcQeMw","Tcnh7f0tEr","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","8HhzD0ZcuI","rGHVDoGpnC","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","rGHVDoGpnC","oZj3VtZNQx","eewbuw0ToL","zVYPLywUTj"],"result":"≴∭⊉-66","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2342","layer":4},{"info":"number node, value=2033","layer":4},{"info":"compute binary expreesion, left_input=2342, right_input=2033, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=24203","layer":3},{"info":"number node, value=4246","layer":4},{"info":"compute unary expreesion, input=4246, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":3},{"info":"compute binary expreesion, left_input=24203, right_input=20, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=47860","layer":2},{"info":"number node, value=3721","layer":4},{"info":"number node, value=7134","layer":4},{"info":"compute binary expreesion, left_input=3721, right_input=7134, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=-10615","layer":3},{"info":"number node, value=5472","layer":4},{"info":"number node, value=3617","layer":4},{"info":"compute binary expreesion, left_input=5472, right_input=3617, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-10615, right_input=nan, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=192","layer":2},{"info":"compute binary expreesion, left_input=47860, right_input=192, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=0","layer":1},{"info":"number node, value=2260","layer":4},{"info":"number node, value=1877","layer":4},{"info":"compute binary expreesion, left_input=2260, right_input=1877, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"compute unary expreesion, input=113, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=1130","layer":2},{"info":"number node, value=1233","layer":4},{"info":"compute unary expreesion, input=1233, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":3},{"info":"number node, value=1085","layer":4},{"info":"number node, value=8370","layer":4},{"info":"compute binary expreesion, left_input=1085, right_input=8370, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1130, right_input=nan, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=8","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=8, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-48","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉6554≓∲≴∭⊉5633)∇⊂⋱(↪⫪⫘≴∭⊉15244)⨟⋌⩍(≴∭⊉13564⊋≦⊧≴∭⊉26541⊋≦⊧(≴∭⊉21645⫥∨⫟≴∭⊉13355)))→⨶⪴(⩪∧⨌≴∭⊉6406⋥⋵⩄≴∭⊉5321)∊∟⩊(↨≴∭⊉3411)≦↸(≴∭⊉3110⫉⨲⊜≴∭⊉33255)=≴∭⊉-66","reverse_text":"≴∭⊉-66=((≴∭⊉6554≓∲≴∭⊉5633)∇⊂⋱(↪⫪⫘≴∭⊉15244)⨟⋌⩍(≴∭⊉13564⊋≦⊧≴∭⊉26541⊋≦⊧(≴∭⊉21645⫥∨⫟≴∭⊉13355)))→⨶⪴(⩪∧⨌≴∭⊉6406⋥⋵⩄≴∭⊉5321)∊∟⩊(↨≴∭⊉3411)≦↸(≴∭⊉3110⫉⨲⊜≴∭⊉33255)","cot":[{"info":"≴∭⊉6554≓∲≴∭⊉5633=≴∭⊉130364","layer":3},{"info":"↪⫪⫘≴∭⊉15244=≴∭⊉26","layer":3},{"info":"≴∭⊉130364∇⊂⋱≴∭⊉26=≴∭⊉256351","layer":2},{"info":"≴∭⊉13564⊋≦⊧≴∭⊉26541=≴∭⊉-42643","layer":3},{"info":"≴∭⊉21645⫥∨⫟≴∭⊉13355=NaN","layer":3},{"info":"≴∭⊉-42643⊋≦⊧NaN=≴∭⊉363","layer":2},{"info":"≴∭⊉256351⨟⋌⩍≴∭⊉363=≴∭⊉0","layer":1},{"info":"≴∭⊉6406⋥⋵⩄≴∭⊉5321=≴∭⊉221","layer":3},{"info":"⩪∧⨌≴∭⊉221=≴∭⊉3203","layer":2},{"info":"↨≴∭⊉3411=NaN","layer":3},{"info":"≴∭⊉3110⫉⨲⊜≴∭⊉33255=≴∭⊉0","layer":3},{"info":"NaN≦↸≴∭⊉0=NaN","layer":2},{"info":"≴∭⊉3203∊∟⩊NaN=≴∭⊉11","layer":1},{"info":"≴∭⊉0→⨶⪴≴∭⊉11=≴∭⊉-66","layer":0}]}
+{"id":668,"expression_no_base_symbol":"⇉-⫰(($2842$⪡$4784$)⨲)⪃⊛⇣((↔$5212$)≦↸($1961$⨟⋌⩍$4851$))","expression":"⇉-⫰((≴∭⊉11200⪡≴∭⊉16643)⨲)⪃⊛⇣((↔≴∭⊉21124)≦↸(≴∭⊉5501⨟⋌⩍≴∭⊉20100))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":14305,"operation_count":7,"complexity_ratio":2043.5714285714287,"tree":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"unary","operator":"⨲","unary_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":2842,"base":7},"right_expr":{"type":"numeric_atoms","value":4784,"base":7}}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":5212,"base":7}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1961,"base":7},"right_expr":{"type":"numeric_atoms","value":4851,"base":7}}}}},"used_operators":["IGFM8TAlm9","rrgAzCduG9","nLYMGWM7L8","oraRL2iQuh","RygbFNSyEJ","ruOEQAzv1W","rGHVDoGpnC"],"dependent_operators":["eH2TOUuTDT","eewbuw0ToL","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","DlLNRPXxWL","WR6HLWljOP","48vC8HMD2b","SUmda5xLS4","wicAB68Tmb","hrf7POJlIJ","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","Tcnh7f0tEr"],"result":"≴∭⊉26","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2842","layer":4},{"info":"number node, value=4784","layer":4},{"info":"compute binary expreesion, left_input=2842, right_input=4784, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"compute unary expreesion, input=107, op_id = nLYMGWM7L8, unary_op_definition = 'a⨲ = { ((a↢a)∴(118⪝a)) , if a==152 ; ((a⪄a)⫘(⫛⫱⨽a)) , else }', output=14531533","layer":2},{"info":"number node, value=5212","layer":4},{"info":"compute unary expreesion, input=5212, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-4939","layer":3},{"info":"number node, value=1961","layer":4},{"info":"number node, value=4851","layer":4},{"info":"compute binary expreesion, left_input=1961, right_input=4851, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-4939, right_input=nan, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=14531533, right_input=nan, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":1},{"info":"compute unary expreesion, input=1234, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":0}],"base":7,"result_base":7,"text":"⇉-⫰((≴∭⊉11200⪡≴∭⊉16643)⨲)⪃⊛⇣((↔≴∭⊉21124)≦↸(≴∭⊉5501⨟⋌⩍≴∭⊉20100))=≴∭⊉26","reverse_text":"≴∭⊉26=⇉-⫰((≴∭⊉11200⪡≴∭⊉16643)⨲)⪃⊛⇣((↔≴∭⊉21124)≦↸(≴∭⊉5501⨟⋌⩍≴∭⊉20100))","cot":[{"info":"≴∭⊉11200⪡≴∭⊉16643=≴∭⊉212","layer":3},{"info":"≴∭⊉212⨲=≴∭⊉234341662","layer":2},{"info":"↔≴∭⊉21124=≴∭⊉-20254","layer":3},{"info":"≴∭⊉5501⨟⋌⩍≴∭⊉20100=NaN","layer":3},{"info":"≴∭⊉-20254≦↸NaN=NaN","layer":2},{"info":"≴∭⊉234341662⪃⊛⇣NaN=≴∭⊉3412","layer":1},{"info":"⇉-⫰≴∭⊉3412=≴∭⊉26","layer":0}]}
+{"id":669,"expression_no_base_symbol":"((⩰($2195$≃⋄))↢($1175$⫻⋑⊟)⋕⪉⪜($1121$⨑≵⋬$3109$))⇂≾⫗(($1065$⇮⋭$1271$)+⪬∐($1147$⊨$2246$)≳⇉(⩰$6933$⪍↜⋙$2880$))","expression":"((⩰(≴∭⊉6254≃⋄))↢(≴∭⊉3266⫻⋑⊟)⋕⪉⪜(≴∭⊉3161⨑≵⋬≴∭⊉12031))⇂≾⫗((≴∭⊉3051⇮⋭≴∭⊉3464)+⪬∐(≴∭⊉3226⊨≴∭⊉6356)≳⇉(⩰≴∭⊉26133⪍↜⋙≴∭⊉11253))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":18536,"operation_count":13,"complexity_ratio":1425.8461538461538,"tree":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"unary","operator":"≃⋄","unary_expr":{"type":"numeric_atoms","value":2195,"base":7}}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"unary","operator":"⫻⋑⊟","unary_expr":{"type":"numeric_atoms","value":1175,"base":7}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":1121,"base":7},"right_expr":{"type":"numeric_atoms","value":3109,"base":7}}}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":1065,"base":7},"right_expr":{"type":"numeric_atoms","value":1271,"base":7}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":1147,"base":7},"right_expr":{"type":"numeric_atoms","value":2246,"base":7}}},"right_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":6933,"base":7},"right_expr":{"type":"numeric_atoms","value":2880,"base":7}}}}},"used_operators":["aBQ6xLxuTc","WR6HLWljOP","WkeUrDK8WX","aN9a90urxU","z6LnFrNh4i","o575Zjdmzy","XnXgA4xnOs","V0kx6qeWkN","2GS7woTJqF","vkpjKywKVM","vg4gO5BX6G","L05ObWFQCd"],"dependent_operators":["g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","uFcxV4UQCh","jLgFTUHLKL","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","rysDP5nf3Z","sdazOOVcIp","12rbrZMWeM","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","g55IO6H4Gj","D4vGDi5EA2","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2195","layer":4},{"info":"compute unary expreesion, input=2195, op_id = aN9a90urxU, unary_op_definition = 'a≃⋄ = { (↩(252⪛a)) }', output=764","layer":3},{"info":"compute unary expreesion, input=764, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-1764","layer":2},{"info":"number node, value=1175","layer":4},{"info":"compute unary expreesion, input=1175, op_id = o575Zjdmzy, unary_op_definition = 'a⫻⋑⊟ = { ((a⨸⪁(⨞⊢a))⪨≂((a∲⫓a)⋳⪒(265-a))) }', output=-1840","layer":3},{"info":"number node, value=1121","layer":4},{"info":"number node, value=3109","layer":4},{"info":"compute binary expreesion, left_input=1121, right_input=3109, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-14779","layer":3},{"info":"compute binary expreesion, left_input=-1840, right_input=-14779, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":2},{"info":"compute binary expreesion, left_input=-1764, right_input=2802, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=2076","layer":1},{"info":"number node, value=1065","layer":4},{"info":"number node, value=1271","layer":4},{"info":"compute binary expreesion, left_input=1065, right_input=1271, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"number node, value=1147","layer":4},{"info":"number node, value=2246","layer":4},{"info":"compute binary expreesion, left_input=1147, right_input=2246, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=5619","layer":3},{"info":"compute binary expreesion, left_input=-473, right_input=5619, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=1419","layer":2},{"info":"number node, value=6933","layer":4},{"info":"number node, value=2880","layer":4},{"info":"compute binary expreesion, left_input=6933, right_input=2880, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=8106","layer":3},{"info":"compute unary expreesion, input=8106, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-9106","layer":2},{"info":"compute binary expreesion, left_input=1419, right_input=-9106, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=2076, right_input=nan, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((⩰(≴∭⊉6254≃⋄))↢(≴∭⊉3266⫻⋑⊟)⋕⪉⪜(≴∭⊉3161⨑≵⋬≴∭⊉12031))⇂≾⫗((≴∭⊉3051⇮⋭≴∭⊉3464)+⪬∐(≴∭⊉3226⊨≴∭⊉6356)≳⇉(⩰≴∭⊉26133⪍↜⋙≴∭⊉11253))=NaN","reverse_text":"NaN=((⩰(≴∭⊉6254≃⋄))↢(≴∭⊉3266⫻⋑⊟)⋕⪉⪜(≴∭⊉3161⨑≵⋬≴∭⊉12031))⇂≾⫗((≴∭⊉3051⇮⋭≴∭⊉3464)+⪬∐(≴∭⊉3226⊨≴∭⊉6356)≳⇉(⩰≴∭⊉26133⪍↜⋙≴∭⊉11253))","cot":[{"info":"≴∭⊉6254≃⋄=≴∭⊉2141","layer":3},{"info":"⩰≴∭⊉2141=≴∭⊉-5100","layer":2},{"info":"≴∭⊉3266⫻⋑⊟=≴∭⊉-5236","layer":3},{"info":"≴∭⊉3161⨑≵⋬≴∭⊉12031=≴∭⊉-61042","layer":3},{"info":"≴∭⊉-5236⋕⪉⪜≴∭⊉-61042=≴∭⊉11112","layer":2},{"info":"≴∭⊉-5100↢≴∭⊉11112=≴∭⊉6024","layer":1},{"info":"≴∭⊉3051⇮⋭≴∭⊉3464=≴∭⊉-1244","layer":3},{"info":"≴∭⊉3226⊨≴∭⊉6356=≴∭⊉22245","layer":3},{"info":"≴∭⊉-1244+⪬∐≴∭⊉22245=≴∭⊉4065","layer":2},{"info":"≴∭⊉26133⪍↜⋙≴∭⊉11253=≴∭⊉32430","layer":3},{"info":"⩰≴∭⊉32430=≴∭⊉-35356","layer":2},{"info":"≴∭⊉4065≳⇉≴∭⊉-35356=NaN","layer":1},{"info":"≴∭⊉6024⇂≾⫗NaN=NaN","layer":0}]}
+{"id":670,"expression_no_base_symbol":"(↥($8291$⩉⊫⨁)⩇∃⫛($5027$∷))⊾⪯⋞(($1308$⇔⨋)⪚($1065$↙$2581$)≑≱⪘)","expression":"(↥(≴∭⊉33113⩉⊫⨁)⩇∃⫛(≴∭⊉20441∷))⊾⪯⋞((≴∭⊉3546⇔⨋)⪚(≴∭⊉3051↙≴∭⊉10345)≑≱⪘)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2958,"operation_count":9,"complexity_ratio":328.6666666666667,"tree":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"unary","operator":"⩉⊫⨁","unary_expr":{"type":"numeric_atoms","value":8291,"base":7}},"right_expr":{"type":"unary","operator":"∷","unary_expr":{"type":"numeric_atoms","value":5027,"base":7}}}},"right_expr":{"type":"unary","operator":"≑≱⪘","unary_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"unary","operator":"⇔⨋","unary_expr":{"type":"numeric_atoms","value":1308,"base":7}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1065,"base":7},"right_expr":{"type":"numeric_atoms","value":2581,"base":7}}}}},"used_operators":["HK0tfVPux8","A8NUZmVepG","1aApVXNlOP","7qqUquhhSb","nFAOW8KTqp","tGSeddj7UK","HrjLwUk87U","uBihLCJcMX","yyfyN0ffXY"],"dependent_operators":["s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","k8jYdgA6NY","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","7j4O788W3g","D4vGDi5EA2","t8gj7n24qd","2DDjHMKMc0","9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","N41Kp7NANJ","7j4O788W3g","glklzrTFfD","tifHPKVTfV","12rbrZMWeM","f6k1SAg4EE","D4vGDi5EA2","nCS4ZIUYfx","QMFrweE19q","tmPS8pqC7x","DpFCA1CohY"],"result":"≴∭⊉15420314","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=8291","layer":4},{"info":"compute unary expreesion, input=8291, op_id = 7qqUquhhSb, unary_op_definition = 'a⩉⊫⨁ = { (331↺a) }', output=8291","layer":3},{"info":"number node, value=5027","layer":4},{"info":"compute unary expreesion, input=5027, op_id = nFAOW8KTqp, unary_op_definition = 'a∷ = { ((-(a⋝⋈⪟a))≦≮≮) }', output=15081","layer":3},{"info":"compute binary expreesion, left_input=8291, right_input=15081, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=7263","layer":2},{"info":"compute unary expreesion, input=7263, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=21","layer":1},{"info":"number node, value=1308","layer":4},{"info":"compute unary expreesion, input=1308, op_id = uBihLCJcMX, unary_op_definition = 'a⇔⨋ = { (((a⨁⊸⫻)⋳⪒a)⪒((a≦≮≮)⨁⊸⫻)) , if a<217 ; (((a≋⫹)⨳⩥⨓(a↺a))⋳⪒((a⨳⩥⨓a)⫡⨏(a⇼⇔∾a))) , else }', output=6778","layer":3},{"info":"number node, value=1065","layer":4},{"info":"number node, value=2581","layer":4},{"info":"compute binary expreesion, left_input=1065, right_input=2581, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-7743","layer":3},{"info":"compute binary expreesion, left_input=6778, right_input=-7743, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=28686","layer":2},{"info":"compute unary expreesion, input=28686, op_id = tGSeddj7UK, unary_op_definition = 'a≑≱⪘ = { ((⊄⩳↩(6≧⫂∧a))⩍⋽⫝̸((a⊲⩕⊾a)≦↸(a⋆⋳))) , if (a↹⊜255)>=30 or (a↯⫤)>122 ; ((a⩷∴(a⪒⊣⊆a))⨽(a⊬⫿⊭)) , else }', output=742201","layer":1},{"info":"compute binary expreesion, left_input=21, right_input=742201, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=1483976","layer":0}],"base":7,"result_base":7,"text":"(↥(≴∭⊉33113⩉⊫⨁)⩇∃⫛(≴∭⊉20441∷))⊾⪯⋞((≴∭⊉3546⇔⨋)⪚(≴∭⊉3051↙≴∭⊉10345)≑≱⪘)=≴∭⊉15420314","reverse_text":"≴∭⊉15420314=(↥(≴∭⊉33113⩉⊫⨁)⩇∃⫛(≴∭⊉20441∷))⊾⪯⋞((≴∭⊉3546⇔⨋)⪚(≴∭⊉3051↙≴∭⊉10345)≑≱⪘)","cot":[{"info":"≴∭⊉33113⩉⊫⨁=≴∭⊉33113","layer":3},{"info":"≴∭⊉20441∷=≴∭⊉61653","layer":3},{"info":"≴∭⊉33113⩇∃⫛≴∭⊉61653=≴∭⊉30114","layer":2},{"info":"↥≴∭⊉30114=≴∭⊉30","layer":1},{"info":"≴∭⊉3546⇔⨋=≴∭⊉25522","layer":3},{"info":"≴∭⊉3051↙≴∭⊉10345=≴∭⊉-31401","layer":3},{"info":"≴∭⊉25522⪚≴∭⊉-31401=≴∭⊉146430","layer":2},{"info":"≴∭⊉146430≑≱⪘=≴∭⊉6210565","layer":1},{"info":"≴∭⊉30⊾⪯⋞≴∭⊉6210565=≴∭⊉15420314","layer":0}]}
+{"id":671,"expression_no_base_symbol":"(($2241$⪄$4063$)∺≝⩲($1302$⇼⇔∾$4581$)⪄($3008$≃⋄)⊱⇼⊻($3233$⇯⋐))⩘(≛$1977$⪨⊡$3445$)⩍⋽⫝̸($1075$⨟⋌⩍$5294$)⩦($2532$⨼⩣$1125$)","expression":"((≴∭⊉6351⪄≴∭⊉14563)∺≝⩲(≴∭⊉3540⇼⇔∾≴∭⊉16233)⪄(≴∭⊉11525≃⋄)⊱⇼⊻(≴∭⊉12266⇯⋐))⩘(≛≴∭⊉5523⪨⊡≴∭⊉13021)⩍⋽⫝̸(≴∭⊉3064⨟⋌⩍≴∭⊉21302)⩦(≴∭⊉10245⨼⩣≴∭⊉3165)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":65276,"operation_count":14,"complexity_ratio":4662.571428571428,"tree":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2241,"base":7},"right_expr":{"type":"numeric_atoms","value":4063,"base":7}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1302,"base":7},"right_expr":{"type":"numeric_atoms","value":4581,"base":7}}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"unary","operator":"≃⋄","unary_expr":{"type":"numeric_atoms","value":3008,"base":7}},"right_expr":{"type":"unary","operator":"⇯⋐","unary_expr":{"type":"numeric_atoms","value":3233,"base":7}}}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":1977,"base":7},"right_expr":{"type":"numeric_atoms","value":3445,"base":7}}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1075,"base":7},"right_expr":{"type":"numeric_atoms","value":5294,"base":7}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":2532,"base":7},"right_expr":{"type":"numeric_atoms","value":1125,"base":7}}}}},"used_operators":["cHh1gJQ2o6","SUmda5xLS4","KPf6cnQVty","tifHPKVTfV","FyVja0WsTP","aN9a90urxU","LkLIoiE525","BiWNJpBvwn","W7eaUhjymW","kuIXHzHcAH","0kmYd0q39Y","rGHVDoGpnC","JxwMv5le6e"],"dependent_operators":["23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","uFcxV4UQCh","jLgFTUHLKL","P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q","Ph9nP6C5qx","xUOZtlo3hN","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","Tcnh7f0tEr","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE"],"result":"≴∭⊉316","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2241","layer":4},{"info":"number node, value=4063","layer":4},{"info":"compute binary expreesion, left_input=2241, right_input=4063, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-344009","layer":3},{"info":"number node, value=1302","layer":4},{"info":"number node, value=4581","layer":4},{"info":"compute binary expreesion, left_input=1302, right_input=4581, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=3279","layer":3},{"info":"compute binary expreesion, left_input=-344009, right_input=3279, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":2},{"info":"number node, value=3008","layer":4},{"info":"compute unary expreesion, input=3008, op_id = aN9a90urxU, unary_op_definition = 'a≃⋄ = { (↩(252⪛a)) }', output=764","layer":3},{"info":"number node, value=3233","layer":4},{"info":"compute unary expreesion, input=3233, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=10577","layer":3},{"info":"compute binary expreesion, left_input=764, right_input=10577, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=434, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-21505","layer":1},{"info":"number node, value=1977","layer":4},{"info":"number node, value=3445","layer":4},{"info":"compute binary expreesion, left_input=1977, right_input=3445, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = W7eaUhjymW, unary_op_definition = '≛a = { (((a+a)⊉≛↸(a⪠⩆⊳))⊭↱((a⪒a)⩚⊴⇥(a⋝⋈⪟a))) , if (a⫩⊇)>7 or a==273 ; (((a-a)⪒(a⪨≂a))⊉≛↸((a⨰a)⋝⋈⪟(a+a))) , else }', output=-237","layer":2},{"info":"number node, value=1075","layer":4},{"info":"number node, value=5294","layer":4},{"info":"compute binary expreesion, left_input=1075, right_input=5294, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=2532","layer":4},{"info":"number node, value=1125","layer":4},{"info":"compute binary expreesion, left_input=2532, right_input=1125, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-237, right_input=nan, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-21505, right_input=nan, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉6351⪄≴∭⊉14563)∺≝⩲(≴∭⊉3540⇼⇔∾≴∭⊉16233)⪄(≴∭⊉11525≃⋄)⊱⇼⊻(≴∭⊉12266⇯⋐))⩘(≛≴∭⊉5523⪨⊡≴∭⊉13021)⩍⋽⫝̸(≴∭⊉3064⨟⋌⩍≴∭⊉21302)⩦(≴∭⊉10245⨼⩣≴∭⊉3165)=≴∭⊉316","reverse_text":"≴∭⊉316=((≴∭⊉6351⪄≴∭⊉14563)∺≝⩲(≴∭⊉3540⇼⇔∾≴∭⊉16233)⪄(≴∭⊉11525≃⋄)⊱⇼⊻(≴∭⊉12266⇯⋐))⩘(≛≴∭⊉5523⪨⊡≴∭⊉13021)⩍⋽⫝̸(≴∭⊉3064⨟⋌⩍≴∭⊉21302)⩦(≴∭⊉10245⨼⩣≴∭⊉3165)","cot":[{"info":"≴∭⊉6351⪄≴∭⊉14563=≴∭⊉-2631641","layer":3},{"info":"≴∭⊉3540⇼⇔∾≴∭⊉16233=≴∭⊉12363","layer":3},{"info":"≴∭⊉-2631641∺≝⩲≴∭⊉12363=≴∭⊉316","layer":2},{"info":"≴∭⊉11525≃⋄=≴∭⊉2141","layer":3},{"info":"≴∭⊉12266⇯⋐=≴∭⊉42560","layer":3},{"info":"≴∭⊉2141⊱⇼⊻≴∭⊉42560=≴∭⊉1160","layer":2},{"info":"≴∭⊉316⪄≴∭⊉1160=≴∭⊉-116461","layer":1},{"info":"≴∭⊉5523⪨⊡≴∭⊉13021=≴∭⊉0","layer":3},{"info":"≛≴∭⊉0=≴∭⊉-456","layer":2},{"info":"≴∭⊉3064⨟⋌⩍≴∭⊉21302=NaN","layer":3},{"info":"≴∭⊉10245⨼⩣≴∭⊉3165=NaN","layer":3},{"info":"NaN⩦NaN=NaN","layer":2},{"info":"≴∭⊉-456⩍⋽⫝̸NaN=NaN","layer":1},{"info":"≴∭⊉-116461⩘NaN=≴∭⊉316","layer":0}]}
+{"id":672,"expression_no_base_symbol":"(⨙⪌(⪲⇎$1261$⪭≯$2826$))≄⊠((∑⇻≧$3079$)⫳≱↱$3691$⩖⊿$4033$)⨚⇆($2566$≴⪞⇿$1028$⩷∴$1963$⪍↜⋙$5452$)","expression":"(⨙⪌(⪲⇎≴∭⊉3451⪭≯≴∭⊉11145))≄⊠((∑⇻≧≴∭⊉11656)⫳≱↱≴∭⊉13522⩖⊿≴∭⊉14521)⨚⇆(≴∭⊉10324≴⪞⇿≴∭⊉2666⩷∴≴∭⊉5503⪍↜⋙≴∭⊉21616)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":22383,"operation_count":11,"complexity_ratio":2034.8181818181818,"tree":{"type":"binary","operator":"≄⊠","left_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":1261,"base":7},"right_expr":{"type":"numeric_atoms","value":2826,"base":7}}}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"numeric_atoms","value":3079,"base":7}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":3691,"base":7},"right_expr":{"type":"numeric_atoms","value":4033,"base":7}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":2566,"base":7},"right_expr":{"type":"numeric_atoms","value":1028,"base":7}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":1963,"base":7},"right_expr":{"type":"numeric_atoms","value":5452,"base":7}}}}},"used_operators":["vXNesLlMH1","vEGLkm4Z2k","XPYlsWDdGa","XAx5wpdLa6","lwHaAYXP2r","ZvLB05nZmT","l1M9WJ3V7u","RZ5CV9rWsJ","9FxExcQeMw","lvlrscuwVU","L05ObWFQCd"],"dependent_operators":["d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","rysDP5nf3Z","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q"],"result":"≴∭⊉4242","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1261","layer":4},{"info":"number node, value=2826","layer":4},{"info":"compute binary expreesion, left_input=1261, right_input=2826, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=nan","layer":1},{"info":"number node, value=3079","layer":4},{"info":"compute unary expreesion, input=3079, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":3},{"info":"number node, value=3691","layer":4},{"info":"number node, value=4033","layer":4},{"info":"compute binary expreesion, left_input=3691, right_input=4033, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=17418","layer":3},{"info":"compute binary expreesion, left_input=-852, right_input=17418, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-2802","layer":2},{"info":"number node, value=2566","layer":4},{"info":"number node, value=1028","layer":4},{"info":"compute binary expreesion, left_input=2566, right_input=1028, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=10515932","layer":3},{"info":"number node, value=1963","layer":4},{"info":"number node, value=5452","layer":4},{"info":"compute binary expreesion, left_input=1963, right_input=5452, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-21502","layer":3},{"info":"compute binary expreesion, left_input=10515932, right_input=-21502, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=21074836","layer":2},{"info":"compute binary expreesion, left_input=-2802, right_input=21074836, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":0}],"base":7,"result_base":7,"text":"(⨙⪌(⪲⇎≴∭⊉3451⪭≯≴∭⊉11145))≄⊠((∑⇻≧≴∭⊉11656)⫳≱↱≴∭⊉13522⩖⊿≴∭⊉14521)⨚⇆(≴∭⊉10324≴⪞⇿≴∭⊉2666⩷∴≴∭⊉5503⪍↜⋙≴∭⊉21616)=≴∭⊉4242","reverse_text":"≴∭⊉4242=(⨙⪌(⪲⇎≴∭⊉3451⪭≯≴∭⊉11145))≄⊠((∑⇻≧≴∭⊉11656)⫳≱↱≴∭⊉13522⩖⊿≴∭⊉14521)⨚⇆(≴∭⊉10324≴⪞⇿≴∭⊉2666⩷∴≴∭⊉5503⪍↜⋙≴∭⊉21616)","cot":[{"info":"≴∭⊉3451⪭≯≴∭⊉11145=NaN","layer":3},{"info":"⪲⇎NaN=NaN","layer":2},{"info":"⨙⪌NaN=NaN","layer":1},{"info":"∑⇻≧��∭⊉11656=≴∭⊉-2325","layer":3},{"info":"≴∭⊉13522⩖⊿≴∭⊉14521=≴∭⊉101532","layer":3},{"info":"≴∭⊉-2325⫳≱↱≴∭⊉101532=≴∭⊉-11112","layer":2},{"info":"≴∭⊉10324≴⪞⇿≴∭⊉2666=≴∭⊉155245460","layer":3},{"info":"≴∭⊉5503⪍↜⋙≴∭⊉21616=≴∭⊉-116455","layer":3},{"info":"≴∭⊉155245460⩷∴≴∭⊉-116455=≴∭⊉344063446","layer":2},{"info":"≴∭⊉-11112⨚⇆≴∭⊉344063446=NaN","layer":1},{"info":"NaN≄⊠NaN=≴∭⊉4242","layer":0}]}
+{"id":673,"expression_no_base_symbol":"↩(∓$8094$)⊢($2999$≫≃)⨎$5231$≁$2510$⊋≦⊧($1105$⨉)","expression":"↩(∓≴∭⊉32412)⊢(≴∭⊉11513≫≃)⨎≴∭⊉21152≁≴∭⊉10214⊋≦⊧(≴∭⊉3136⨉)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1276,"operation_count":8,"complexity_ratio":159.5,"tree":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"numeric_atoms","value":8094,"base":7}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":2999,"base":7}}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":5231,"base":7},"right_expr":{"type":"numeric_atoms","value":2510,"base":7}},"right_expr":{"type":"unary","operator":"⨉","unary_expr":{"type":"numeric_atoms","value":1105,"base":7}}}}},"used_operators":["jLgFTUHLKL","rJVOvQCfKK","5twsqlHp2o","OwUj7dcsQK","X99M06cbEe","oRDoc9rAEX","8N2wDY1A35","aMUSaJuDRU"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","tmPS8pqC7x","g55IO6H4Gj","qWUSsah53b"],"result":"≴∭⊉215453","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=8094","layer":4},{"info":"compute unary expreesion, input=8094, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-126282","layer":3},{"info":"number node, value=2999","layer":4},{"info":"compute unary expreesion, input=2999, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=7399","layer":3},{"info":"compute binary expreesion, left_input=-126282, right_input=7399, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=252320","layer":2},{"info":"number node, value=5231","layer":4},{"info":"number node, value=2510","layer":4},{"info":"compute binary expreesion, left_input=5231, right_input=2510, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=47039","layer":3},{"info":"number node, value=1105","layer":4},{"info":"compute unary expreesion, input=1105, op_id = aMUSaJuDRU, unary_op_definition = 'a⨉ = { ((⫡⇟⇯148)⨸⪁(a⨪↰⇹a)) }', output=4538","layer":3},{"info":"compute binary expreesion, left_input=47039, right_input=4538, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=-8836","layer":2},{"info":"compute binary expreesion, left_input=252320, right_input=-8836, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-8836","layer":1},{"info":"compute unary expreesion, input=-8836, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=37964","layer":0}],"base":7,"result_base":7,"text":"↩(∓≴∭⊉32412)⊢(≴∭⊉11513≫≃)⨎≴∭⊉21152≁≴∭⊉10214⊋≦⊧(≴∭⊉3136⨉)=≴∭⊉215453","reverse_text":"≴∭⊉215453=↩(∓≴∭⊉32412)⊢(≴∭⊉11513≫≃)⨎≴∭⊉21152≁≴∭⊉10214⊋≦⊧(≴∭⊉3136⨉)","cot":[{"info":"∓≴∭⊉32412=≴∭⊉-1034112","layer":3},{"info":"≴∭⊉11513≫≃=≴∭⊉30400","layer":3},{"info":"≴∭⊉-1034112⊢≴∭⊉30400=≴∭⊉2100425","layer":2},{"info":"≴∭⊉21152≁≴∭⊉10214=≴∭���254066","layer":3},{"info":"≴∭⊉3136⨉=≴∭⊉16142","layer":3},{"info":"≴∭⊉254066⊋≦⊧≴∭⊉16142=≴∭⊉-34522","layer":2},{"info":"≴∭⊉2100425⨎≴∭⊉-34522=≴∭⊉-34522","layer":1},{"info":"↩≴∭⊉-34522=≴∭⊉215453","layer":0}]}
+{"id":674,"expression_no_base_symbol":"($5314$⫲≸⪮$1023$≓∲($4460$⫳≱↱$1302$))≥⨤⩑($3823$⫞⩸⩒$1723$⪒($6354$∀⊥⇻))⫃⨇(↽≂($2995$⩵∡$1087$))⫁($2432$∊∟⩊$4473$)≌($2453$⩵∡$2329$)","expression":"(≴∭⊉21331⫲≸⪮≴∭⊉2661≓∲(≴∭⊉16001⫳≱↱≴∭⊉3540))≥⨤⩑(≴∭⊉14101⫞⩸⩒≴∭⊉5011⪒(≴∭⊉24345∀⊥⇻))⫃⨇(↽≂(≴∭⊉11506⩵∡≴∭⊉3112))⫁(≴∭⊉10043∊∟⩊≴∭⊉16020)≌(≴∭⊉10103⩵∡≴∭⊉6535)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":32921,"operation_count":14,"complexity_ratio":2351.5,"tree":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":5314,"base":7},"right_expr":{"type":"numeric_atoms","value":1023,"base":7}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":4460,"base":7},"right_expr":{"type":"numeric_atoms","value":1302,"base":7}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":3823,"base":7},"right_expr":{"type":"numeric_atoms","value":1723,"base":7}},"right_expr":{"type":"unary","operator":"∀⊥⇻","unary_expr":{"type":"numeric_atoms","value":6354,"base":7}}}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":2995,"base":7},"right_expr":{"type":"numeric_atoms","value":1087,"base":7}}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":2432,"base":7},"right_expr":{"type":"numeric_atoms","value":4473,"base":7}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":2453,"base":7},"right_expr":{"type":"numeric_atoms","value":2329,"base":7}}}}},"used_operators":["09Ly4LVMIf","gJLn6v0xnP","s1XTVnmDOJ","P3lXMJvFrc","ZvLB05nZmT","f6k1SAg4EE","XGcMNugi78","k4iM1060OG","0ajvFaJAv0","u6S6b8DprG","Y7wcNGrDQJ","lyWz822IDG","ddLRYrp01A"],"dependent_operators":["9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","W4YGzv6Whe","t8gj7n24qd","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","QvoQhV0rrE","XhwjNDsVaA","3Oe9XWJUTD","cHh1gJQ2o6","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","NTOWxs364D","glklzrTFfD","tifHPKVTfV","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5314","layer":4},{"info":"number node, value=1023","layer":4},{"info":"compute binary expreesion, left_input=5314, right_input=1023, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=5314","layer":3},{"info":"number node, value=4460","layer":4},{"info":"number node, value=1302","layer":4},{"info":"compute binary expreesion, left_input=4460, right_input=1302, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"compute binary expreesion, left_input=5314, right_input=-204, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=-265961","layer":2},{"info":"number node, value=3823","layer":4},{"info":"number node, value=1723","layer":4},{"info":"compute binary expreesion, left_input=3823, right_input=1723, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=1723","layer":3},{"info":"number node, value=6354","layer":4},{"info":"compute unary expreesion, input=6354, op_id = k4iM1060OG, unary_op_definition = 'a∀⊥⇻ = { ((a∠⫱a)/(a⊝⪿⪼a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1723, right_input=0, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-1723","layer":2},{"info":"compute binary expreesion, left_input=-265961, right_input=-1723, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=nan","layer":1},{"info":"number node, value=2995","layer":4},{"info":"number node, value=1087","layer":4},{"info":"compute binary expreesion, left_input=2995, right_input=1087, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-5024","layer":3},{"info":"compute unary expreesion, input=-5024, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=10048","layer":2},{"info":"number node, value=2432","layer":4},{"info":"number node, value=4473","layer":4},{"info":"compute binary expreesion, left_input=2432, right_input=4473, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=4473","layer":3},{"info":"number node, value=2453","layer":4},{"info":"number node, value=2329","layer":4},{"info":"compute binary expreesion, left_input=2453, right_input=2329, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-2698","layer":3},{"info":"compute binary expreesion, left_input=4473, right_input=-2698, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=10048, right_input=nan, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉21331⫲≸⪮≴∭⊉2661≓∲(≴∭⊉16001⫳≱↱≴∭⊉3540))≥⨤⩑(≴∭⊉14101⫞⩸⩒≴∭⊉5011⪒(≴∭⊉24345∀⊥⇻))⫃⨇(↽≂(≴∭⊉11506⩵∡≴∭⊉3112))⫁(≴∭⊉10043∊∟⩊≴∭⊉16020)≌(≴∭⊉10103⩵∡≴∭⊉6535)=NaN","reverse_text":"NaN=(≴∭⊉21331⫲≸⪮≴∭⊉2661≓∲(≴∭⊉16001⫳≱↱≴∭⊉3540))≥⨤⩑(≴∭⊉14101⫞⩸⩒≴∭⊉5011⪒(≴∭⊉24345∀⊥⇻))⫃⨇(↽≂(≴∭⊉11506⩵∡≴∭⊉3112))⫁(≴∭⊉10043∊∟⩊≴∭⊉16020)≌(≴∭⊉10103⩵∡≴∭⊉6535)","cot":[{"info":"≴∭⊉21331⫲≸⪮≴∭⊉2661=≴∭⊉21331","layer":3},{"info":"≴∭⊉16001⫳≱↱≴∭⊉3540=≴∭⊉-411","layer":3},{"info":"≴∭⊉21331≓∲≴∭⊉-411=≴∭⊉-2155253","layer":2},{"info":"≴∭⊉14101⫞⩸⩒≴∭⊉5011=≴∭⊉5011","layer":3},{"info":"≴∭⊉24345∀⊥⇻=≴∭⊉0","layer":3},{"info":"≴∭⊉5011⪒≴∭⊉0=≴∭⊉-5011","layer":2},{"info":"≴∭⊉-2155253≥⨤⩑≴∭⊉-5011=NaN","layer":1},{"info":"≴∭⊉11506⩵∡≴∭⊉3112=≴∭⊉-20435","layer":3},{"info":"↽≂≴∭⊉-20435=≴∭⊉41203","layer":2},{"info":"≴∭⊉10043∊∟⩊≴∭⊉16020=≴∭⊉16020","layer":3},{"info":"≴∭⊉10103⩵∡≴∭⊉6535=≴∭⊉-10603","layer":3},{"info":"≴∭⊉16020≌≴∭⊉-10603=NaN","layer":2},{"info":"≴∭⊉41203⫁NaN=≴∭⊉316","layer":1},{"info":"NaN⫃⨇≴∭⊉316=NaN","layer":0}]}
+{"id":675,"expression_no_base_symbol":"((⇁⨣⪵($6577$⨘))≬⋮($4698$≧⫂∧$3525$)≹⇙⪍($1815$⩒⫫$4278$))≳⇉(($1869$∽$1277$)⪢($4017$∀⇚≩$1060$))⫗⊷⫓(⩒∊($1015$⨑≵⋬$1719$))","expression":"((⇁⨣⪵(≴∭⊉25114⨘))≬⋮(≴∭⊉16461≧⫂∧≴∭⊉13164)≹⇙⪍(≴∭⊉5202⩒⫫≴∭⊉15321))≳⇉((≴∭⊉5310∽≴∭⊉3503)⪢(≴∭⊉14466∀⇚≩≴∭⊉3043))⫗⊷⫓(⩒∊(≴∭⊉2650⨑≵⋬≴∭⊉5004))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":122680,"operation_count":13,"complexity_ratio":9436.923076923076,"tree":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"unary","operator":"⨘","unary_expr":{"type":"numeric_atoms","value":6577,"base":7}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":4698,"base":7},"right_expr":{"type":"numeric_atoms","value":3525,"base":7}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":1815,"base":7},"right_expr":{"type":"numeric_atoms","value":4278,"base":7}}}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":1869,"base":7},"right_expr":{"type":"numeric_atoms","value":1277,"base":7}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":4017,"base":7},"right_expr":{"type":"numeric_atoms","value":1060,"base":7}}},"right_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":1015,"base":7},"right_expr":{"type":"numeric_atoms","value":1719,"base":7}}}}},"used_operators":["V0kx6qeWkN","kbkesczE7y","inkyxCbjAn","ljcfZBUpm8","AHs5Up7iyr","Ph9nP6C5qx","KFSx94NKJn","zashukvMKz","dWAJyo7jo9","y4ImoPnbV5","LRNGc0VcxI","qazvmhNBbN","XnXgA4xnOs"],"dependent_operators":["KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","B5M0gjZbta","40aOVDgCDB","JL8yIekQnl","ocnLzx9CaJ","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","k8jYdgA6NY","NTOWxs364D","QMFrweE19q","X99M06cbEe","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6577","layer":4},{"info":"compute unary expreesion, input=6577, op_id = ljcfZBUpm8, unary_op_definition = 'a⨘ = { ((4⊢)⩼⇪↪(a⋫)) }', output=-46814","layer":3},{"info":"compute unary expreesion, input=-46814, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"number node, value=4698","layer":4},{"info":"number node, value=3525","layer":4},{"info":"compute binary expreesion, left_input=4698, right_input=3525, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3052","layer":3},{"info":"number node, value=1815","layer":4},{"info":"number node, value=4278","layer":4},{"info":"compute binary expreesion, left_input=1815, right_input=4278, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=1513","layer":3},{"info":"compute binary expreesion, left_input=3052, right_input=1513, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=nan","layer":1},{"info":"number node, value=1869","layer":4},{"info":"number node, value=1277","layer":4},{"info":"compute binary expreesion, left_input=1869, right_input=1277, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-12998","layer":3},{"info":"number node, value=4017","layer":4},{"info":"number node, value=1060","layer":4},{"info":"compute binary expreesion, left_input=4017, right_input=1060, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-12998, right_input=nan, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"number node, value=1015","layer":4},{"info":"number node, value=1719","layer":4},{"info":"compute binary expreesion, left_input=1015, right_input=1719, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-5579","layer":3},{"info":"compute unary expreesion, input=-5579, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=-18010","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-18010, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-134, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((⇁⨣⪵(≴∭⊉25114⨘))≬⋮(≴∭⊉16461≧⫂∧≴∭⊉13164)≹⇙⪍(≴∭⊉5202⩒⫫≴∭⊉15321))≳⇉((≴∭⊉5310∽≴∭⊉3503)⪢(≴∭⊉14466∀⇚≩≴∭⊉3043))⫗⊷⫓(⩒∊(≴∭⊉2650⨑≵⋬≴∭⊉5004))=NaN","reverse_text":"NaN=((⇁⨣⪵(≴∭⊉25114⨘))≬⋮(≴∭⊉16461≧⫂∧≴∭⊉13164)≹⇙⪍(≴∭⊉5202⩒⫫≴∭⊉15321))≳⇉((≴∭⊉5310∽≴∭⊉3503)⪢(≴∭⊉14466∀⇚≩≴∭⊉3043))⫗⊷⫓(⩒∊(≴∭⊉2650⨑≵⋬≴∭⊉5004))","cot":[{"info":"≴∭⊉25114⨘=≴∭⊉-253325","layer":3},{"info":"⇁⨣⪵≴∭⊉-253325=NaN","layer":2},{"info":"≴∭⊉16461≧⫂∧≴∭⊉13164=≴∭⊉11620","layer":3},{"info":"≴∭⊉5202⩒⫫≴∭⊉15321=≴∭⊉4261","layer":3},{"info":"≴∭⊉11620≹⇙⪍≴∭⊉4261=NaN","layer":2},{"info":"NaN≬⋮NaN=NaN","layer":1},{"info":"≴∭⊉5310∽≴∭⊉3503=≴∭⊉-52616","layer":3},{"info":"≴∭⊉14466∀⇚≩≴∭⊉3043=NaN","layer":3},{"info":"≴∭⊉-52616⪢NaN=NaN","layer":2},{"info":"≴∭⊉2650⨑≵⋬≴∭⊉5004=≴∭⊉-22160","layer":3},{"info":"⩒∊≴∭⊉-22160=≴∭⊉-103336","layer":2},{"info":"NaN⫗⊷⫓≴∭⊉-103336=≴∭⊉-251","layer":1},{"info":"NaN≳⇉≴∭⊉-251=NaN","layer":0}]}
+{"id":676,"expression_no_base_symbol":"((⇜$1735$)⊔$3339$∌$7368$⊋≦⊧($2432$↳∿⪆$4588$⋳⪒($2475$⨐⩸⫘$4166$)))∧","expression":"((⇜≴∭⊉5026)⊔≴∭⊉12510∌≴∭⊉30324⊋≦⊧(≴∭⊉10043↳∿⪆≴∭⊉16243⋳⪒(≴∭⊉10134⨐⩸⫘≴∭⊉15101)))∧","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2827,"operation_count":8,"complexity_ratio":353.375,"tree":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"numeric_atoms","value":1735,"base":7}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":3339,"base":7},"right_expr":{"type":"numeric_atoms","value":7368,"base":7}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":2432,"base":7},"right_expr":{"type":"numeric_atoms","value":4588,"base":7}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2475,"base":7},"right_expr":{"type":"numeric_atoms","value":4166,"base":7}}}}},"used_operators":["z63VuFQld9","oRDoc9rAEX","E4l6HwMY31","lFBm8KRb8F","8cLx32lpNA","12rbrZMWeM","Cw4SuJJGHO","fu6greOZ01"],"dependent_operators":["B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1735","layer":4},{"info":"compute unary expreesion, input=1735, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-14288","layer":3},{"info":"number node, value=3339","layer":4},{"info":"number node, value=7368","layer":4},{"info":"compute binary expreesion, left_input=3339, right_input=7368, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-7368","layer":3},{"info":"compute binary expreesion, left_input=-14288, right_input=-7368, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=72543","layer":2},{"info":"number node, value=2432","layer":4},{"info":"number node, value=4588","layer":4},{"info":"compute binary expreesion, left_input=2432, right_input=4588, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"number node, value=2475","layer":4},{"info":"number node, value=4166","layer":4},{"info":"compute binary expreesion, left_input=2475, right_input=4166, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=72543, right_input=nan, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((⇜≴∭⊉5026)⊔≴∭⊉12510∌≴∭⊉30324⊋≦⊧(≴∭⊉10043↳∿⪆≴∭⊉16243⋳⪒(≴∭⊉10134⨐⩸⫘≴∭⊉15101)))∧=NaN","reverse_text":"NaN=((⇜≴��⊉5026)⊔≴∭⊉12510∌≴∭⊉30324⊋≦⊧(≴∭⊉10043↳∿⪆≴∭⊉16243⋳⪒(≴∭⊉10134⨐⩸⫘≴∭⊉15101)))∧","cot":[{"info":"⇜≴∭⊉5026=≴∭⊉-56441","layer":3},{"info":"≴∭⊉12510∌≴∭⊉30324=≴∭⊉-30324","layer":3},{"info":"≴∭⊉-56441⊔≴∭⊉-30324=≴∭⊉421332","layer":2},{"info":"≴∭⊉10043↳∿⪆≴∭⊉16243=NaN","layer":3},{"info":"≴∭⊉10134⨐⩸⫘≴∭⊉15101=NaN","layer":3},{"info":"NaN⋳⪒NaN=NaN","layer":2},{"info":"≴∭⊉421332⊋≦⊧NaN=NaN","layer":1},{"info":"NaN∧=NaN","layer":0}]}
+{"id":677,"expression_no_base_symbol":"($1288$⫗⊷⫓$4011$⨔⇊($8835$↙$5618$)⋷$1614$⊹∫⫚$5084$≥⨤⩑($3278$↱$5298$))≎⪠((($2600$⋭≵$4585$)⪷)-(⊲⪭(≸≮$3249$)))","expression":"(≴∭⊉3520⫗⊷⫓≴∭⊉14460⨔⇊(≴∭⊉34521↙≴∭⊉22244)⋷≴∭⊉4464⊹∫⫚≴∭⊉20552≥⨤⩑(≴∭⊉12362↱≴∭⊉21306))≎⪠(((≴∭⊉10403⋭≵≴∭⊉16240)⪷)-(⊲⪭(≸≮≴∭⊉12321)))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":250802,"operation_count":13,"complexity_ratio":19292.46153846154,"tree":{"type":"binary","operator":"≎⪠","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":1288,"base":7},"right_expr":{"type":"numeric_atoms","value":4011,"base":7}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":8835,"base":7},"right_expr":{"type":"numeric_atoms","value":5618,"base":7}}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":1614,"base":7},"right_expr":{"type":"numeric_atoms","value":5084,"base":7}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":3278,"base":7},"right_expr":{"type":"numeric_atoms","value":5298,"base":7}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⪷","unary_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":2600,"base":7},"right_expr":{"type":"numeric_atoms","value":4585,"base":7}}},"right_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"numeric_atoms","value":3249,"base":7}}}}},"used_operators":["aNhz54LH3e","23Mk6UjR3U","JclMnS0uGI","zashukvMKz","yyfyN0ffXY","gJLn6v0xnP","uWAJUKEvyW","SR5kFfdi6N","rysDP5nf3Z","Qctrpi3WzA","jBncVCNhdl","k7HXdKtiEU","AljMvE3RRm"],"dependent_operators":["bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","tmPS8pqC7x","DpFCA1CohY","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","Nsiff2A1zJ","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","i8ToyICDmI","xUOZtlo3hN","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb"],"result":"≴∭⊉111010","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1288","layer":4},{"info":"number node, value=4011","layer":4},{"info":"compute binary expreesion, left_input=1288, right_input=4011, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"number node, value=8835","layer":4},{"info":"number node, value=5618","layer":4},{"info":"compute binary expreesion, left_input=8835, right_input=5618, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-16854","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=-16854, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=67","layer":2},{"info":"number node, value=1614","layer":4},{"info":"number node, value=5084","layer":4},{"info":"compute binary expreesion, left_input=1614, right_input=5084, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-256","layer":3},{"info":"number node, value=3278","layer":4},{"info":"number node, value=5298","layer":4},{"info":"compute binary expreesion, left_input=3278, right_input=5298, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-15372","layer":3},{"info":"compute binary expreesion, left_input=-256, right_input=-15372, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-134","layer":1},{"info":"number node, value=2600","layer":4},{"info":"number node, value=4585","layer":4},{"info":"compute binary expreesion, left_input=2600, right_input=4585, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"compute unary expreesion, input=67, op_id = Qctrpi3WzA, unary_op_definition = 'a⪷ = { (a⊴a) }', output=nan","layer":2},{"info":"number node, value=3249","layer":4},{"info":"compute unary expreesion, input=3249, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-134, right_input=nan, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉3520⫗⊷⫓≴∭⊉14460⨔⇊(≴∭⊉34521↙≴∭⊉22244)⋷≴∭⊉4464⊹∫⫚≴∭⊉20552≥⨤⩑(≴∭⊉12362↱≴∭⊉21306))≎⪠(((≴∭⊉10403⋭≵≴∭⊉16240)⪷)-(⊲⪭(≸≮≴∭⊉12321)))=≴∭⊉111010","reverse_text":"≴∭⊉111010=(≴∭⊉3520⫗⊷⫓≴∭⊉14460⨔⇊(≴∭⊉34521↙≴∭⊉22244)⋷≴∭⊉4464⊹∫⫚≴∭⊉20552≥⨤⩑(≴∭⊉12362↱≴∭⊉21306))≎⪠(((≴∭⊉10403⋭≵≴∭⊉16240)⪷)-(⊲⪭(≸≮≴∭⊉12321)))","cot":[{"info":"≴∭⊉3520⫗⊷⫓≴∭⊉14460=≴∭⊉-251","layer":3},{"info":"≴∭⊉34521↙≴∭⊉22244=≴∭⊉-100065","layer":3},{"info":"≴∭⊉-251⨔⇊≴∭⊉-100065=≴∭⊉124","layer":2},{"info":"≴∭⊉4464⊹∫⫚≴∭⊉20552=≴∭⊉-514","layer":3},{"info":"≴∭⊉12362↱≴∭⊉21306=≴∭⊉-62550","layer":3},{"info":"≴∭⊉-514≥⨤⩑≴∭⊉-62550=NaN","layer":2},{"info":"≴∭⊉124⋷NaN=≴∭⊉-251","layer":1},{"info":"≴∭⊉10403⋭≵≴∭⊉16240=≴∭⊉124","layer":3},{"info":"≴∭⊉124⪷=NaN","layer":2},{"info":"≸≮≴∭⊉12321=NaN","layer":3},{"info":"⊲⪭NaN=NaN","layer":2},{"info":"NaN-NaN=NaN","layer":1},{"info":"≴∭⊉-251≎⪠NaN=≴∭⊉111010","layer":0}]}
+{"id":678,"expression_no_base_symbol":"(⨵($2021$⇂≾⫗$1229$)⪝($3393$⋛$4141$))≧⫂∧(($3225$⩢≌)⨒$2915$+⇶⊼$2330$)↳∿⪆($1041$⩒⫫$2007$)⇻⋧≁($1117$∀⊥⇻)","expression":"(⨵(≴∭⊉5615⇂≾⫗≴∭⊉3404)⪝(≴∭⊉12615⋛≴∭⊉15034))≧⫂∧((≴∭⊉12255⩢≌)⨒≴∭⊉11333+⇶⊼≴∭⊉6536)↳∿⪆(≴∭⊉3015⩒⫫≴∭⊉5565)⇻⋧≁(≴∭⊉3154∀⊥⇻)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":4253,"operation_count":12,"complexity_ratio":354.4166666666667,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":2021,"base":7},"right_expr":{"type":"numeric_atoms","value":1229,"base":7}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":3393,"base":7},"right_expr":{"type":"numeric_atoms","value":4141,"base":7}}}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"unary","operator":"⩢≌","unary_expr":{"type":"numeric_atoms","value":3225,"base":7}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2915,"base":7},"right_expr":{"type":"numeric_atoms","value":2330,"base":7}}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":1041,"base":7},"right_expr":{"type":"numeric_atoms","value":2007,"base":7}},"right_expr":{"type":"unary","operator":"∀⊥⇻","unary_expr":{"type":"numeric_atoms","value":1117,"base":7}}}}},"used_operators":["Ph9nP6C5qx","Tl3Y52tvF8","wicAB68Tmb","aBQ6xLxuTc","YbUVn0Rbpy","Cw4SuJJGHO","y75s1iXyHd","D617RFjZIq","TpPTUOHfaN","jCPkEVoL5K","KFSx94NKJn","k4iM1060OG"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","hTbEZDJLEm","o20kRiQErp","AHs5Up7iyr","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","QvoQhV0rrE","XhwjNDsVaA","3Oe9XWJUTD"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2021","layer":4},{"info":"number node, value=1229","layer":4},{"info":"compute binary expreesion, left_input=2021, right_input=1229, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"number node, value=3393","layer":4},{"info":"number node, value=4141","layer":4},{"info":"compute binary expreesion, left_input=3393, right_input=4141, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-101655","layer":3},{"info":"compute binary expreesion, left_input=-676, right_input=-101655, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-404315","layer":2},{"info":"compute unary expreesion, input=-404315, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=9706415","layer":1},{"info":"number node, value=3225","layer":4},{"info":"compute unary expreesion, input=3225, op_id = D617RFjZIq, unary_op_definition = 'a⩢≌ = { ((a∸)∟) }', output=113","layer":3},{"info":"number node, value=2915","layer":4},{"info":"number node, value=2330","layer":4},{"info":"compute binary expreesion, left_input=2915, right_input=2330, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=nan, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=nan","layer":2},{"info":"number node, value=1041","layer":4},{"info":"number node, value=2007","layer":4},{"info":"compute binary expreesion, left_input=1041, right_input=2007, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=739","layer":3},{"info":"number node, value=1117","layer":4},{"info":"compute unary expreesion, input=1117, op_id = k4iM1060OG, unary_op_definition = 'a∀⊥⇻ = { ((a∠⫱a)/(a⊝⪿⪼a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=739, right_input=0, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-447, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=9706415, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(⨵(≴∭⊉5615⇂≾⫗≴∭⊉3404)⪝(≴∭⊉12615⋛≴∭⊉15034))≧⫂∧((≴∭⊉12255⩢≌)⨒≴∭⊉11333+⇶⊼≴∭⊉6536)↳∿⪆(≴∭⊉3015⩒⫫≴∭⊉5565)⇻⋧≁(≴∭⊉3154∀⊥⇻)=NaN","reverse_text":"NaN=(⨵(≴∭⊉5615⇂≾⫗≴∭⊉3404)⪝(≴∭⊉12615⋛≴∭⊉15034))≧⫂∧((≴∭⊉12255⩢≌)⨒≴∭⊉11333+⇶⊼≴∭⊉6536)↳∿⪆(≴∭⊉3015⩒⫫≴∭⊉5565)⇻⋧≁(≴∭⊉3154∀⊥⇻)","cot":[{"info":"≴∭⊉5615⇂≾⫗≴∭⊉3404=≴∭⊉-1654","layer":3},{"info":"≴∭⊉12615⋛≴∭⊉15034=≴∭⊉-602241","layer":3},{"info":"≴∭⊉-1654⪝≴∭⊉-602241=≴∭⊉-3302522","layer":2},{"info":"⨵≴∭⊉-3302522=≴∭⊉145334405","layer":1},{"info":"≴∭⊉12255⩢≌=≴∭⊉221","layer":3},{"info":"≴∭⊉11333+⇶⊼≴∭⊉6536=NaN","layer":3},{"info":"≴∭⊉221⨒NaN=NaN","layer":2},{"info":"≴∭⊉3015⩒⫫≴∭⊉5565=≴∭⊉2104","layer":3},{"info":"≴∭⊉3154∀⊥⇻=≴∭⊉0","layer":3},{"info":"≴∭⊉2104⇻⋧≁≴∭⊉0=≴∭⊉-1206","layer":2},{"info":"NaN↳∿⪆≴∭⊉-1206=NaN","layer":1},{"info":"≴∭⊉145334405≧⫂∧NaN=NaN","layer":0}]}
+{"id":679,"expression_no_base_symbol":"$3238$⩒⫫$1605$⪇≇⋚$6855$⫞⩸⩒$2117$*(⫛⫱⨽($5315$↸$3533$))⨵⪆($1013$⇷$3456$)⫒⫫($3836$⫦⪉$1575$)⩒⫫($1003$⨳⩥⨓$2871$)⋣⋖($4302$≳⇉$2059$)","expression":"≴∭⊉12304⩒⫫≴∭⊉4452⪇≇⋚≴∭⊉25662⫞⩸⩒≴∭⊉6113*(⫛⫱⨽(≴∭⊉21332↸≴∭⊉13205))⨵⪆(≴∭⊉2645⇷≴∭⊉13035)⫒⫫(≴∭⊉14120⫦⪉≴∭⊉4410)⩒⫫(≴∭⊉2632⨳⩥⨓≴∭⊉11241)⋣⋖(≴∭⊉15354≳⇉≴∭⊉6001)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":41310805,"operation_count":14,"complexity_ratio":2950771.785714286,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":3238,"base":7},"right_expr":{"type":"numeric_atoms","value":1605,"base":7}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":6855,"base":7},"right_expr":{"type":"numeric_atoms","value":2117,"base":7}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":5315,"base":7},"right_expr":{"type":"numeric_atoms","value":3533,"base":7}}}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1013,"base":7},"right_expr":{"type":"numeric_atoms","value":3456,"base":7}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":3836,"base":7},"right_expr":{"type":"numeric_atoms","value":1575,"base":7}}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1003,"base":7},"right_expr":{"type":"numeric_atoms","value":2871,"base":7}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":4302,"base":7},"right_expr":{"type":"numeric_atoms","value":2059,"base":7}}}}},"used_operators":["2DQ55sFlQl","9HNa5Wba9A","3sJ7IOPOlU","KFSx94NKJn","XGcMNugi78","DlLNRPXxWL","1eCjFl0mb9","6Ko8hGgeMq","mp7IySMOzn","wscyQdcy20","J0M6qkBnIM","nCS4ZIUYfx","V0kx6qeWkN"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","rGHVDoGpnC","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","W4YGzv6Whe","rysDP5nf3Z","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls"],"result":"≴∭⊉316","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3238","layer":4},{"info":"number node, value=1605","layer":4},{"info":"compute binary expreesion, left_input=3238, right_input=1605, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=2936","layer":3},{"info":"number node, value=6855","layer":4},{"info":"number node, value=2117","layer":4},{"info":"compute binary expreesion, left_input=6855, right_input=2117, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=2117","layer":3},{"info":"compute binary expreesion, left_input=2936, right_input=2117, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":2},{"info":"number node, value=5315","layer":4},{"info":"number node, value=3533","layer":4},{"info":"compute binary expreesion, left_input=5315, right_input=3533, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=5315","layer":3},{"info":"compute unary expreesion, input=5315, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=0","layer":1},{"info":"number node, value=1013","layer":4},{"info":"number node, value=3456","layer":4},{"info":"compute binary expreesion, left_input=1013, right_input=3456, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=6912","layer":3},{"info":"number node, value=3836","layer":4},{"info":"number node, value=1575","layer":4},{"info":"compute binary expreesion, left_input=3836, right_input=1575, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-2772","layer":3},{"info":"compute binary expreesion, left_input=6912, right_input=-2772, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":2},{"info":"number node, value=1003","layer":4},{"info":"number node, value=2871","layer":4},{"info":"compute binary expreesion, left_input=1003, right_input=2871, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1868","layer":3},{"info":"number node, value=4302","layer":4},{"info":"number node, value=2059","layer":4},{"info":"compute binary expreesion, left_input=4302, right_input=2059, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1868, right_input=nan, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=1868","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1868, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉12304⩒⫫≴∭⊉4452⪇≇⋚≴∭⊉25662⫞⩸⩒≴∭⊉6113*(⫛⫱⨽(≴∭⊉21332↸≴∭⊉13205))⨵⪆(≴∭⊉2645⇷≴∭⊉13035)⫒⫫(≴∭⊉14120⫦⪉≴∭⊉4410)⩒⫫(≴∭⊉2632⨳⩥⨓≴∭⊉11241)⋣⋖(≴∭⊉15354≳⇉≴∭⊉6001)=≴∭⊉316","reverse_text":"≴∭⊉316=≴∭⊉12304⩒⫫≴∭⊉4452⪇≇⋚≴∭⊉25662⫞⩸⩒≴∭⊉6113*(⫛⫱⨽(≴∭⊉21332↸≴∭⊉13205))⨵⪆(≴∭⊉2645⇷≴∭⊉13035)⫒⫫(≴∭⊉14120⫦⪉≴∭⊉4410)⩒⫫(≴∭⊉2632⨳⩥⨓≴∭⊉11241)⋣⋖(≴∭⊉15354≳⇉≴∭⊉6001)","cot":[{"info":"≴∭⊉12304⩒⫫≴∭⊉4452=≴∭⊉11363","layer":3},{"info":"≴∭⊉25662⫞⩸⩒≴∭⊉6113=≴∭⊉6113","layer":3},{"info":"≴∭⊉11363⪇≇⋚≴∭⊉6113=≴∭⊉0","layer":2},{"info":"≴∭⊉21332↸≴∭⊉13205=≴∭⊉21332","layer":3},{"info":"⫛⫱⨽≴∭⊉21332=≴∭⊉0","layer":2},{"info":"≴∭⊉0*≴∭⊉0=≴∭⊉0","layer":1},{"info":"≴∭⊉2645⇷≴∭⊉13035=≴∭⊉26103","layer":3},{"info":"≴∭⊉14120⫦⪉≴∭⊉4410=≴∭⊉-11040","layer":3},{"info":"≴∭⊉26103⫒⫫≴∭⊉-11040=NaN","layer":2},{"info":"≴∭⊉2632⨳⩥⨓≴∭⊉11241=≴∭⊉5306","layer":3},{"info":"≴∭⊉15354≳⇉≴∭⊉6001=NaN","layer":3},{"info":"≴∭⊉5306⋣⋖NaN=≴∭⊉5306","layer":2},{"info":"NaN⩒⫫≴∭⊉5306=NaN","layer":1},{"info":"≴∭⊉0⨵⪆NaN=≴∭⊉316","layer":0}]}
+{"id":680,"expression_no_base_symbol":"⨂⪏⇭(($4801$⪶≀⋏$2206$)⫗⊷⫓(⇵⪽$1566$)⇽⩪)","expression":"⨂⪏⇭((≴∭⊉16666⪶≀⋏≴∭⊉6301)⫗⊷⫓(⇵⪽≴∭⊉4365)⇽⩪)","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":87595,"operation_count":5,"complexity_ratio":17519.0,"tree":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"unary","operator":"⇽⩪","unary_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":4801,"base":7},"right_expr":{"type":"numeric_atoms","value":2206,"base":7}},"right_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"numeric_atoms","value":1566,"base":7}}}}},"used_operators":["AYdpE9sXAk","FonBHBYJbU","zashukvMKz","zR4jO40bMj","ZGCBLdVRRX"],"dependent_operators":["eewbuw0ToL","NTOWxs364D","EBcxylXtPf","W4YGzv6Whe","e1ybzncUwg","23Mk6UjR3U","tifHPKVTfV","g55IO6H4Gj","eewbuw0ToL","AF7qkfDlqP","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","U7g4x0WXJJ"],"result":"≴∭⊉-4654","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4801","layer":4},{"info":"number node, value=2206","layer":4},{"info":"compute binary expreesion, left_input=4801, right_input=2206, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-19047","layer":3},{"info":"number node, value=1566","layer":4},{"info":"compute unary expreesion, input=1566, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-19047, right_input=nan, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":2},{"info":"compute unary expreesion, input=-134, op_id = FonBHBYJbU, unary_op_definition = 'a⇽⩪ = { (((≉88)⨰(⨑⩽⪐a))⨸⪁((a+95)⇼⇔∾(a⋷a))) }', output=-242","layer":1},{"info":"compute unary expreesion, input=-242, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=-1705","layer":0}],"base":7,"result_base":7,"text":"⨂⪏⇭((≴∭⊉16666⪶≀⋏≴∭⊉6301)⫗⊷⫓(⇵⪽≴∭⊉4365)⇽⩪)=≴∭⊉-4654","reverse_text":"≴∭⊉-4654=⨂⪏⇭((≴∭⊉16666⪶≀⋏≴∭⊉6301)⫗⊷⫓(⇵⪽≴∭⊉4365)⇽⩪)","cot":[{"info":"≴∭⊉16666⪶≀⋏≴∭⊉6301=≴∭⊉-106350","layer":3},{"info":"⇵⪽≴∭⊉4365=NaN","layer":3},{"info":"≴∭⊉-106350⫗⊷⫓NaN=≴∭⊉-251","layer":2},{"info":"≴∭⊉-251⇽⩪=≴∭⊉-464","layer":1},{"info":"⨂⪏⇭≴∭⊉-464=≴∭⊉-4654","layer":0}]}
+{"id":681,"expression_no_base_symbol":"(↨(($2941$⊍⩺⋍$4124$)⊪))⨸⪁(⩩($2807$⨹))⇄(⋣$5594$⊉↱≁$4191$)","expression":"(↨((≴∭⊉11401⊍⩺⋍≴∭⊉15011)⊪))⨸⪁(⩩(≴∭⊉11120⨹))⇄(⋣≴∭⊉22211⊉↱≁≴∭⊉15135)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":10332,"operation_count":9,"complexity_ratio":1148.0,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":2941,"base":7},"right_expr":{"type":"numeric_atoms","value":4124,"base":7}}}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"unary","operator":"⨹","unary_expr":{"type":"numeric_atoms","value":2807,"base":7}}},"right_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":5594,"base":7},"right_expr":{"type":"numeric_atoms","value":4191,"base":7}}}}},"used_operators":["g55IO6H4Gj","jiX4gk2v2Q","zVYPLywUTj","OXDGMFPWZM","3EYGwJThht","kMhfGuqI2H","UnCoSGIALn","zQWRhDnn8F","w2P8NbNXyL"],"dependent_operators":["W4YGzv6Whe","rGHVDoGpnC","oZj3VtZNQx","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","mp7IySMOzn","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2941","layer":4},{"info":"number node, value=4124","layer":4},{"info":"compute binary expreesion, left_input=2941, right_input=4124, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":1},{"info":"number node, value=2807","layer":4},{"info":"compute unary expreesion, input=2807, op_id = UnCoSGIALn, unary_op_definition = 'a⨹ = { (229⇷a) }', output=5614","layer":3},{"info":"compute unary expreesion, input=5614, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":2},{"info":"number node, value=5594","layer":4},{"info":"number node, value=4191","layer":4},{"info":"compute binary expreesion, left_input=5594, right_input=4191, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=30742","layer":3},{"info":"compute unary expreesion, input=30742, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-9038053","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-9038053, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(↨((≴∭⊉11401⊍⩺⋍≴∭⊉15011)⊪))⨸⪁(⩩(≴∭⊉11120⨹))⇄(⋣≴∭⊉22211⊉↱≁≴∭⊉15135)=NaN","reverse_text":"NaN=(↨((≴∭⊉11401⊍⩺⋍≴∭⊉15011)⊪))⨸⪁(⩩(≴∭⊉11120⨹))⇄(⋣≴∭⊉22211⊉↱≁≴∭⊉15135)","cot":[{"info":"≴∭⊉11401⊍⩺⋍≴∭⊉15011=NaN","layer":3},{"info":"NaN⊪=NaN","layer":2},{"info":"↨NaN=NaN","layer":1},{"info":"≴∭⊉11120⨹=≴∭⊉22240","layer":3},{"info":"⩩≴∭⊉22240=NaN","layer":2},{"info":"≴∭⊉22211⊉↱≁≴∭⊉15135=≴∭⊉155425","layer":3},{"info":"⋣≴∭⊉155425=≴∭⊉-136552003","layer":2},{"info":"NaN⇄≴∭⊉-136552003=NaN","layer":1},{"info":"NaN⨸⪁NaN=NaN","layer":0}]}
+{"id":682,"expression_no_base_symbol":"((⇜⊴$1798$)≠≀$1200$+⪬∐$1588$⊾⪯⋞($1146$⇟⨁⪰)⫸⊐$1907$≭$1463$)⨪↰⇹(⊿(⋃($3272$⫥∨⫟$5011$)))","expression":"((⇜⊴≴∭⊉5146)≠≀≴∭⊉3333+⪬∐≴∭⊉4426⊾⪯⋞(≴∭⊉3225⇟⨁⪰)⫸⊐≴∭⊉5363≭≴∭⊉4160)⨪↰⇹(⊿(⋃(≴∭⊉12353⫥∨⫟≴∭⊉20416)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1844,"operation_count":11,"complexity_ratio":167.63636363636363,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"numeric_atoms","value":1798,"base":7}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":1200,"base":7},"right_expr":{"type":"numeric_atoms","value":1588,"base":7}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⇟⨁⪰","unary_expr":{"type":"numeric_atoms","value":1146,"base":7}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1907,"base":7},"right_expr":{"type":"numeric_atoms","value":1463,"base":7}}}},"right_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":3272,"base":7},"right_expr":{"type":"numeric_atoms","value":5011,"base":7}}}}},"used_operators":["tmPS8pqC7x","HK0tfVPux8","IwW236VD4Y","XwDhCwWbUn","2GS7woTJqF","mqXw5SEYmG","BX1lVwlMe0","rxpJgHHUmx","DO4fhlbJSI","3mBM5G4a3l","KYD54nUTWz"],"dependent_operators":["rJVOvQCfKK","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","g55IO6H4Gj","D4vGDi5EA2","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","2DDjHMKMc0","xUOZtlo3hN","AHs5Up7iyr","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","g55IO6H4Gj","8HhzD0ZcuI","rGHVDoGpnC"],"result":"≴∭⊉4255","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1798","layer":4},{"info":"compute unary expreesion, input=1798, op_id = XwDhCwWbUn, unary_op_definition = '⇜⊴a = { (↩(∓⪦(a≃a))) , if ((a∐⫣)>271 and (a∴779)<=132) ; ((a↢(a⨔⇊a))⊲⩕⊾((a∝a)⊉↱≁(a⊭↱19))) , else }', output=-410614","layer":3},{"info":"number node, value=1200","layer":4},{"info":"number node, value=1588","layer":4},{"info":"compute binary expreesion, left_input=1200, right_input=1588, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-3600","layer":3},{"info":"compute binary expreesion, left_input=-410614, right_input=-3600, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=414093","layer":2},{"info":"number node, value=1146","layer":4},{"info":"compute unary expreesion, input=1146, op_id = BX1lVwlMe0, unary_op_definition = 'a⇟⨁⪰ = { (⨞⊢(a⋝⋈⪟a)) }', output=-1320","layer":3},{"info":"number node, value=1907","layer":4},{"info":"number node, value=1463","layer":4},{"info":"compute binary expreesion, left_input=1907, right_input=1463, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1320, right_input=nan, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=968","layer":2},{"info":"compute binary expreesion, left_input=414093, right_input=968, op_id = HK0tfVPux8 binary_op_definition= 'a⊾���⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=1510","layer":1},{"info":"number node, value=3272","layer":4},{"info":"number node, value=5011","layer":4},{"info":"compute binary expreesion, left_input=3272, right_input=5011, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1510, right_input=nan, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1510","layer":0}],"base":7,"result_base":7,"text":"((⇜⊴≴∭⊉5146)≠≀≴∭⊉3333+⪬∐≴∭⊉4426⊾⪯⋞(≴∭⊉3225⇟⨁⪰)⫸⊐≴∭⊉5363≭≴∭⊉4160)⨪↰⇹(⊿(⋃(≴∭⊉12353⫥∨⫟≴∭⊉20416)))=≴∭⊉4255","reverse_text":"≴∭⊉4255=((⇜⊴≴∭⊉5146)≠≀≴∭⊉3333+⪬∐≴∭⊉4426⊾⪯⋞(≴∭⊉3225⇟⨁⪰)⫸⊐≴∭⊉5363≭≴∭⊉4160)⨪↰⇹(⊿(⋃(≴∭⊉12353⫥∨⫟≴∭⊉20416)))","cot":[{"info":"⇜⊴≴∭⊉5146=≴∭⊉-3330061","layer":3},{"info":"≴∭⊉3333+⪬∐≴∭⊉4426=≴∭⊉-13332","layer":3},{"info":"≴∭⊉-3330061≠≀≴∭⊉-13332=≴∭⊉3343161","layer":2},{"info":"≴∭⊉3225⇟⨁⪰=≴∭⊉-3564","layer":3},{"info":"≴∭⊉5363≭≴∭⊉4160=NaN","layer":3},{"info":"≴∭⊉-3564⫸⊐NaN=≴∭⊉2552","layer":2},{"info":"≴∭⊉3343161⊾⪯⋞≴∭⊉2552=≴∭⊉4255","layer":1},{"info":"≴∭⊉12353⫥∨⫟≴∭⊉20416=NaN","layer":3},{"info":"⋃NaN=NaN","layer":2},{"info":"⊿NaN=NaN","layer":1},{"info":"≴∭⊉4255⨪↰⇹NaN=≴∭⊉4255","layer":0}]}
+{"id":683,"expression_no_base_symbol":"-(⫡⇟⇯$8622$)⊮⊟↴($1062$⫑%∭)∥⊢⊲($2215$⨭⪣$1044$∷($5044$⩹$3031$))","expression":"-(⫡⇟⇯≴∭⊉34065)⊮⊟↴(≴∭⊉3045⫑%∭)∥⊢⊲(≴∭⊉6313⨭⪣≴∭⊉3021∷(≴∭⊉20464⩹≴∭⊉11560))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1038,"operation_count":8,"complexity_ratio":129.75,"tree":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"numeric_atoms","value":8622,"base":7}},"right_expr":{"type":"unary","operator":"⫑%∭","unary_expr":{"type":"numeric_atoms","value":1062,"base":7}}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":2215,"base":7},"right_expr":{"type":"numeric_atoms","value":1044,"base":7}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":5044,"base":7},"right_expr":{"type":"numeric_atoms","value":3031,"base":7}}}}},"used_operators":["t8gj7n24qd","v1UQAVDJRr","QDVgd2eftb","qWUSsah53b","xUx7qlDO4z","D3AQDKkPcf","kn8WO9XteQ","2Wsdkap16l"],"dependent_operators":["EBcxylXtPf","rGHVDoGpnC","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","DZ8iAZOCBD","P8v4zCKN1o","GODebY97qR","qWUSsah53b","XhwjNDsVaA","oZj3VtZNQx","KYD54nUTWz","nREPSIbpBE","rGHVDoGpnC","9FxExcQeMw","NTOWxs364D","7j4O788W3g","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx"],"result":"≴∭⊉-11555","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=8622","layer":4},{"info":"compute unary expreesion, input=8622, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=18112","layer":3},{"info":"number node, value=1062","layer":4},{"info":"compute unary expreesion, input=1062, op_id = xUx7qlDO4z, unary_op_definition = 'a⫑%∭ = { (((a⨟⋌⩍23)⫥∨⫟(a≀⫉a))/((a⨚141)⪟⇏(⫡⇟⇯a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=18112, right_input=nan, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=nan","layer":2},{"info":"number node, value=2215","layer":4},{"info":"number node, value=1044","layer":4},{"info":"compute binary expreesion, left_input=2215, right_input=1044, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=936","layer":3},{"info":"number node, value=5044","layer":4},{"info":"number node, value=3031","layer":4},{"info":"compute binary expreesion, left_input=5044, right_input=3031, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=3029","layer":3},{"info":"compute binary expreesion, left_input=936, right_input=3029, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=3029","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3029, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=3029","layer":1},{"info":"compute unary expreesion, input=3029, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-3029","layer":0}],"base":7,"result_base":7,"text":"-(⫡⇟⇯≴∭⊉34065)⊮⊟↴(≴∭⊉3045⫑%∭)∥⊢⊲(≴∭⊉6313⨭⪣≴∭⊉3021∷(≴∭⊉20464⩹≴∭⊉11560))=≴∭⊉-11555","reverse_text":"≴∭⊉-11555=-(⫡⇟⇯≴∭⊉34065)⊮⊟↴(≴∭⊉3045⫑%∭)∥⊢⊲(≴∭⊉6313⨭⪣≴∭⊉3021∷(≴∭⊉20464⩹≴∭⊉11560))","cot":[{"info":"⫡⇟⇯≴∭⊉34065=≴∭⊉103543","layer":3},{"info":"≴∭⊉3045⫑%∭=NaN","layer":3},{"info":"≴∭⊉103543⊮⊟↴NaN=NaN","layer":2},{"info":"≴∭⊉6313⨭⪣≴∭⊉3021=≴∭⊉2505","layer":3},{"info":"≴∭⊉20464⩹≴∭⊉11560=≴∭⊉11555","layer":3},{"info":"≴∭⊉2505∷≴∭⊉11555=≴∭⊉11555","layer":2},{"info":"NaN∥⊢⊲≴∭⊉11555=≴∭⊉11555","layer":1},{"info":"-≴∭⊉11555=≴∭⊉-11555","layer":0}]}
+{"id":684,"expression_no_base_symbol":"(↡(⨵≀≌$3388$))⊲⩕⊾(↞≼$2036$)∣$1927$⩣⫁∢$3253$∕⩚((⩰$2635$)⨵⪆$1404$⪭$2349$)⩘($3284$∣$1723$↺$3071$⋾⨃∁$4490$)","expression":"(↡(⨵≀≌≴∭⊉12610))⊲⩕⊾(↞≼≴∭⊉5636)∣≴∭⊉5422⩣⫁∢≴∭⊉12325∕⩚((⩰≴∭⊉10453)⨵⪆≴∭⊉4044⪭≴∭⊉6564)⩘(≴∭⊉12401∣≴∭⊉5011↺≴∭⊉11645⋾⨃∁≴∭⊉16043)","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4744,"operation_count":14,"complexity_ratio":338.85714285714283,"tree":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":3388,"base":7}}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"numeric_atoms","value":2036,"base":7}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":1927,"base":7},"right_expr":{"type":"numeric_atoms","value":3253,"base":7}}}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"numeric_atoms","value":2635,"base":7}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":1404,"base":7},"right_expr":{"type":"numeric_atoms","value":2349,"base":7}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":3284,"base":7},"right_expr":{"type":"numeric_atoms","value":1723,"base":7}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":3071,"base":7},"right_expr":{"type":"numeric_atoms","value":4490,"base":7}}}}},"used_operators":["z9ffQ9n5Zr","DmTXOeWf9t","MXaNJeIAZ3","srAu1WTS94","PPChnnnBFF","DE7zCoGJt9","JDUIKTTSIa","cHh1gJQ2o6","2DQ55sFlQl","WkeUrDK8WX","j9kHMeSvPp","7j4O788W3g","212REbPD9h"],"dependent_operators":["3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","COABgblf1C","xUOZtlo3hN","rysDP5nf3Z","t8gj7n24qd","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE"],"result":"≴∭⊉-1264","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3388","layer":4},{"info":"compute unary expreesion, input=3388, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-10164","layer":3},{"info":"compute unary expreesion, input=-10164, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=-91476","layer":2},{"info":"number node, value=2036","layer":4},{"info":"compute unary expreesion, input=2036, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=15874","layer":3},{"info":"number node, value=1927","layer":4},{"info":"number node, value=3253","layer":4},{"info":"compute binary expreesion, left_input=1927, right_input=3253, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-3693","layer":3},{"info":"compute binary expreesion, left_input=15874, right_input=-3693, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=-14917","layer":2},{"info":"compute binary expreesion, left_input=-91476, right_input=-14917, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=34500","layer":1},{"info":"number node, value=2635","layer":4},{"info":"compute unary expreesion, input=2635, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-3635","layer":3},{"info":"number node, value=1404","layer":4},{"info":"number node, value=2349","layer":4},{"info":"compute binary expreesion, left_input=1404, right_input=2349, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"compute binary expreesion, left_input=-3635, right_input=5, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=3284","layer":4},{"info":"number node, value=1723","layer":4},{"info":"compute binary expreesion, left_input=3284, right_input=1723, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=3284","layer":3},{"info":"number node, value=3071","layer":4},{"info":"number node, value=4490","layer":4},{"info":"compute binary expreesion, left_input=3071, right_input=4490, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=201547026","layer":3},{"info":"compute binary expreesion, left_input=3284, right_input=201547026, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=201547026","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=201547026, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":1},{"info":"compute binary expreesion, left_input=34500, right_input=160, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":0}],"base":7,"result_base":7,"text":"(↡(⨵≀≌≴∭⊉12610))⊲⩕⊾(↞≼≴∭⊉5636)∣≴∭⊉5422⩣⫁∢≴∭⊉12325∕⩚((⩰≴∭⊉10453)⨵⪆≴∭⊉4044⪭≴∭⊉6564)⩘(≴∭⊉12401∣≴∭⊉5011↺≴∭⊉11645⋾⨃∁≴∭⊉16043)=≴∭⊉-1264","reverse_text":"≴∭⊉-1264=(↡(⨵≀≌≴∭⊉12610))⊲⩕⊾(↞≼≴∭⊉5636)∣≴∭⊉5422⩣⫁∢≴∭⊉12325∕⩚((⩰≴∭⊉10453)⨵⪆≴∭⊉4044⪭≴∭⊉6564)⩘(≴∭⊉12401∣≴∭⊉5011↺≴∭⊉11645⋾⨃∁≴∭⊉16043)","cot":[{"info":"⨵≀≌≴∭⊉12610=≴∭⊉-41430","layer":3},{"info":"↡≴∭⊉-41430=≴∭⊉-530460","layer":2},{"info":"↞≼≴∭⊉5636=≴∭⊉64165","layer":3},{"info":"≴∭⊉5422⩣⫁∢≴∭⊉12325=≴∭⊉-13524","layer":3},{"info":"≴∭⊉64165∣≴∭⊉-13524=≴∭⊉-61330","layer":2},{"info":"≴∭⊉-530460⊲⩕⊾≴∭⊉-61330=≴∭⊉202404","layer":1},{"info":"⩰≴∭⊉10453=≴∭⊉-13412","layer":3},{"info":"≴∭⊉4044⪭≴∭⊉6564=≴∭⊉5","layer":3},{"info":"≴∭⊉-13412⨵⪆≴∭⊉5=≴∭⊉316","layer":2},{"info":"≴∭⊉12401∣≴∭⊉5011=≴∭⊉12401","layer":3},{"info":"≴∭⊉11645⋾⨃∁≴∭⊉16043=≴∭⊉4665056442","layer":3},{"info":"≴∭⊉12401↺≴∭⊉4665056442=≴∭⊉4665056442","layer":2},{"info":"≴∭⊉316⩘≴∭⊉4665056442=≴∭⊉316","layer":1},{"info":"≴∭⊉202404∕⩚≴∭⊉316=≴∭⊉-1264","layer":0}]}
+{"id":685,"expression_no_base_symbol":"($1441$⪨⊡$1306$∙⊟(⇉-⫰$3750$))⨫⇇↔($1161$⇤$1290$⨹)≧⫂∧(($4537$∵≐)∐⫣)⨐(($2875$⩢≌)≁($5414$⪚$3364$))","expression":"(≴∭⊉4126⪨⊡≴∭⊉3544∙⊟(⇉-⫰≴∭⊉13635))⨫⇇↔(≴∭⊉3246⇤≴∭⊉3522⨹)≧⫂∧((≴∭⊉16141∵≐)∐⫣)⨐((≴∭⊉11245⩢≌)≁(≴∭⊉21533⪚≴∭⊉12544))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3667,"operation_count":13,"complexity_ratio":282.0769230769231,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":1441,"base":7},"right_expr":{"type":"numeric_atoms","value":1306,"base":7}},"right_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"numeric_atoms","value":3750,"base":7}}},"right_expr":{"type":"unary","operator":"⨹","unary_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":1161,"base":7},"right_expr":{"type":"numeric_atoms","value":1290,"base":7}}}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"unary","operator":"∐⫣","unary_expr":{"type":"unary","operator":"∵≐","unary_expr":{"type":"numeric_atoms","value":4537,"base":7}}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"unary","operator":"⩢≌","unary_expr":{"type":"numeric_atoms","value":2875,"base":7}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":5414,"base":7},"right_expr":{"type":"numeric_atoms","value":3364,"base":7}}}}},"used_operators":["Ph9nP6C5qx","LXhwmt4mBO","SxTAKzQCrw","kuIXHzHcAH","IGFM8TAlm9","UnCoSGIALn","YSKBFp38Pu","Noe24qw2ks","4CyGpkTkEk","59igzFyhWz","8N2wDY1A35","D617RFjZIq","HrjLwUk87U"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","eH2TOUuTDT","eewbuw0ToL","mp7IySMOzn","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","XPYlsWDdGa","eewbuw0ToL","e1ybzncUwg","W4YGzv6Whe","DZ8iAZOCBD","8w2t5hMYqp","Ph9nP6C5qx","12rbrZMWeM","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","hTbEZDJLEm","o20kRiQErp","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0"],"result":"≴∭⊉1451","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1441","layer":4},{"info":"number node, value=1306","layer":4},{"info":"compute binary expreesion, left_input=1441, right_input=1306, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=3750","layer":4},{"info":"compute unary expreesion, input=3750, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=20, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=22285","layer":2},{"info":"number node, value=1161","layer":4},{"info":"number node, value=1290","layer":4},{"info":"compute binary expreesion, left_input=1161, right_input=1290, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-9407","layer":3},{"info":"compute unary expreesion, input=-9407, op_id = UnCoSGIALn, unary_op_definition = 'a⨹ = { (229⇷a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=22285, right_input=nan, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":1},{"info":"number node, value=4537","layer":4},{"info":"compute unary expreesion, input=4537, op_id = 59igzFyhWz, unary_op_definition = 'a∵≐ = { ((a⊉≛↸31)⋳⪒(101+a)) , if a<=828 ; ((⊄⩳↩a)≧⫂∧(a≧⫂∧a)) , else }', output=3591","layer":3},{"info":"compute unary expreesion, input=3591, op_id = 4CyGpkTkEk, unary_op_definition = 'a∐⫣ = { (≉(⪲⇎(a⨰a))) }', output=551","layer":2},{"info":"number node, value=2875","layer":4},{"info":"compute unary expreesion, input=2875, op_id = D617RFjZIq, unary_op_definition = 'a⩢≌ = { ((a∸)∟) }', output=113","layer":3},{"info":"number node, value=5414","layer":4},{"info":"number node, value=3364","layer":4},{"info":"compute binary expreesion, left_input=5414, right_input=3364, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=3744","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=3744, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=76655","layer":2},{"info":"compute binary expreesion, left_input=551, right_input=76655, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-1102","layer":1},{"info":"compute binary expreesion, left_input=-527, right_input=-1102, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=575","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉4126⪨⊡≴∭⊉3544∙⊟(⇉-⫰≴∭⊉13635))⨫⇇↔(≴∭⊉3246⇤≴∭⊉3522⨹)≧⫂∧((≴∭⊉16141∵≐)∐⫣)⨐((≴∭⊉11245⩢≌)≁(≴∭⊉21533⪚≴∭⊉12544))=≴∭⊉1451","reverse_text":"≴∭⊉1451=(≴∭⊉4126⪨⊡≴∭⊉3544∙⊟(⇉-⫰≴∭⊉13635))⨫⇇↔(≴∭⊉3246⇤≴∭⊉3522⨹)≧⫂∧((≴∭⊉16141∵≐)∐⫣)⨐((≴∭⊉11245⩢≌)≁(≴∭⊉21533⪚≴∭⊉12544))","cot":[{"info":"≴∭⊉4126⪨⊡≴∭⊉3544=≴∭⊉0","layer":3},{"info":"⇉-⫰≴∭⊉13635=≴∭⊉26","layer":3},{"info":"≴∭⊉0∙⊟≴∭⊉26=≴∭⊉121654","layer":2},{"info":"≴∭⊉3246⇤≴∭⊉3522=≴∭⊉-36266","layer":3},{"info":"≴∭⊉-36266⨹=NaN","layer":2},{"info":"≴∭⊉121654⨫⇇↔NaN=≴∭⊉-1352","layer":1},{"info":"≴∭⊉16141∵≐=≴∭⊉13320","layer":3},{"info":"≴∭⊉13320∐⫣=≴∭⊉1415","layer":2},{"info":"≴∭⊉11245⩢≌=≴∭⊉221","layer":3},{"info":"≴∭⊉21533⪚≴∭⊉12544=≴∭⊉13626","layer":3},{"info":"≴∭⊉221≁≴∭⊉13626=≴∭⊉436325","layer":2},{"info":"≴∭⊉1415⨐≴∭⊉436325=≴∭⊉-3133","layer":1},{"info":"≴∭⊉-1352≧⫂∧≴∭⊉-3133=≴∭⊉1451","layer":0}]}
+{"id":686,"expression_no_base_symbol":"(⨰⫟⨤($1693$↸$2395$)↳∿⪆($1173$⨽$2995$))⪭≯($2022$⪶≀⋏$2841$⨉)⨐((⪸$1598$)∴($1244$⫰⋱$2269$))","expression":"(⨰⫟⨤(≴∭⊉4636↸≴∭⊉6661)↳∿⪆(≴∭⊉3264⨽≴∭⊉11506))⪭≯(≴∭⊉5616⪶≀⋏≴∭⊉11166⨉)⨐((⪸≴∭⊉4442)∴(≴∭⊉3425⫰⋱≴∭⊉6421))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":98592,"operation_count":11,"complexity_ratio":8962.90909090909,"tree":{"type":"binary","operator":"⪭≯","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":1693,"base":7},"right_expr":{"type":"numeric_atoms","value":2395,"base":7}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1173,"base":7},"right_expr":{"type":"numeric_atoms","value":2995,"base":7}}}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"unary","operator":"⨉","unary_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":2022,"base":7},"right_expr":{"type":"numeric_atoms","value":2841,"base":7}}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"numeric_atoms","value":1598,"base":7}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":1244,"base":7},"right_expr":{"type":"numeric_atoms","value":2269,"base":7}}}}},"used_operators":["XAx5wpdLa6","Tw270M8GLb","Cw4SuJJGHO","1eCjFl0mb9","8HhzD0ZcuI","Noe24qw2ks","aMUSaJuDRU","zR4jO40bMj","hrf7POJlIJ","86A5ENbKR9","6o9Blt3TJ6"],"dependent_operators":["9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","tmPS8pqC7x","g55IO6H4Gj","qWUSsah53b","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1693","layer":4},{"info":"number node, value=2395","layer":4},{"info":"compute binary expreesion, left_input=1693, right_input=2395, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=1693","layer":3},{"info":"number node, value=1173","layer":4},{"info":"number node, value=2995","layer":4},{"info":"compute binary expreesion, left_input=1173, right_input=2995, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-4135458","layer":3},{"info":"compute binary expreesion, left_input=1693, right_input=-4135458, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"number node, value=2022","layer":4},{"info":"number node, value=2841","layer":4},{"info":"compute binary expreesion, left_input=2022, right_input=2841, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-11980","layer":3},{"info":"compute unary expreesion, input=-11980, op_id = aMUSaJuDRU, unary_op_definition = 'a⨉ = { ((⫡⇟⇯148)⨸⪁(a⨪↰⇹a)) }', output=-21632","layer":2},{"info":"number node, value=1598","layer":4},{"info":"compute unary expreesion, input=1598, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-26957","layer":3},{"info":"number node, value=1244","layer":4},{"info":"number node, value=2269","layer":4},{"info":"compute binary expreesion, left_input=1244, right_input=2269, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-1211","layer":3},{"info":"compute binary expreesion, left_input=-26957, right_input=-1211, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=-52266","layer":2},{"info":"compute binary expreesion, left_input=-21632, right_input=-52266, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=43264","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=43264, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(⨰⫟⨤(≴∭⊉4636↸≴∭⊉6661)↳∿⪆(≴∭⊉3264⨽≴∭⊉11506))⪭≯(≴∭⊉5616⪶≀⋏≴∭⊉11166⨉)⨐((⪸≴∭⊉4442)∴(≴∭⊉3425⫰⋱≴∭⊉6421))=NaN","reverse_text":"NaN=(⨰⫟⨤(≴∭⊉4636↸≴∭⊉6661)↳∿⪆(≴∭⊉3264⨽≴∭⊉11506))⪭≯(≴∭⊉5616⪶≀⋏≴∭⊉11166⨉)⨐((⪸≴∭⊉4442)∴(≴∭⊉3425⫰⋱≴∭⊉6421))","cot":[{"info":"≴∭⊉4636↸≴∭⊉6661=≴∭⊉4636","layer":3},{"info":"≴∭⊉3264⨽≴∭⊉11506=≴∭⊉-50102505","layer":3},{"info":"≴∭⊉4636↳∿⪆≴∭⊉-50102505=NaN","layer":2},{"info":"⨰⫟⨤NaN=NaN","layer":1},{"info":"≴∭⊉5616⪶≀⋏≴∭⊉11166=≴∭⊉-46633","layer":3},{"info":"≴∭⊉-46633⨉=≴∭⊉-120032","layer":2},{"info":"⪸≴∭⊉4442=≴∭⊉-141410","layer":3},{"info":"≴∭⊉3425⫰⋱≴∭⊉6421=≴∭⊉-3350","layer":3},{"info":"≴∭⊉-141410∴≴∭⊉-3350=≴∭⊉-305244","layer":2},{"info":"≴∭⊉-120032⨐≴∭⊉-305244=≴∭⊉240064","layer":1},{"info":"NaN⪭≯≴∭⊉240064=NaN","layer":0}]}
+{"id":687,"expression_no_base_symbol":"∮(⇋↷($2786$⨽∌$1614$⊲⩕⊾($1364$⪨⊡$1869$)))","expression":"∮(⇋↷(≴∭⊉11060⨽∌≴∭⊉4464⊲⩕⊾(≴∭⊉3656⪨⊡≴∭⊉5310)))","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":413,"operation_count":5,"complexity_ratio":82.6,"tree":{"type":"unary","operator":"∮","unary_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":2786,"base":7},"right_expr":{"type":"numeric_atoms","value":1614,"base":7}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":1364,"base":7},"right_expr":{"type":"numeric_atoms","value":1869,"base":7}}}}},"used_operators":["CqXKPLVYql","SWo3A1KBJH","DmTXOeWf9t","9samAPKr6k","kuIXHzHcAH"],"dependent_operators":["2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP"],"result":"≴∭⊉124","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2786","layer":4},{"info":"number node, value=1614","layer":4},{"info":"compute binary expreesion, left_input=2786, right_input=1614, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"number node, value=1364","layer":4},{"info":"number node, value=1869","layer":4},{"info":"compute binary expreesion, left_input=1364, right_input=1869, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=8530","layer":2},{"info":"compute unary expreesion, input=8530, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=68240","layer":1},{"info":"compute unary expreesion, input=68240, op_id = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=67","layer":0}],"base":7,"result_base":7,"text":"∮(⇋↷(≴∭⊉11060⨽∌≴∭⊉4464⊲⩕⊾(≴∭⊉3656⪨⊡≴∭⊉5310)))=≴∭⊉124","reverse_text":"≴∭⊉124=∮(⇋↷(≴∭⊉11060⨽∌≴∭⊉4464⊲⩕⊾(≴∭⊉3656⪨⊡≴��⊉5310)))","cot":[{"info":"≴∭⊉11060⨽∌≴∭⊉4464=≴∭⊉0","layer":3},{"info":"≴∭⊉3656⪨⊡≴∭⊉5310=≴∭⊉0","layer":3},{"info":"≴∭⊉0⊲⩕⊾≴∭⊉0=≴∭⊉33604","layer":2},{"info":"⇋↷≴∭⊉33604=≴∭⊉402644","layer":1},{"info":"∮≴∭⊉402644=≴∭⊉124","layer":0}]}
+{"id":688,"expression_no_base_symbol":"⩎⋉(⊽(($1309$⇪⋭)⩇∃⫛($4630$⫿)))","expression":"⩎⋉(⊽((≴∭⊉3550⇪⋭)⩇∃⫛(≴∭⊉16333⫿)))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":94,"operation_count":5,"complexity_ratio":18.8,"tree":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"unary","operator":"⇪⋭","unary_expr":{"type":"numeric_atoms","value":1309,"base":7}},"right_expr":{"type":"unary","operator":"⫿","unary_expr":{"type":"numeric_atoms","value":4630,"base":7}}}}},"used_operators":["FlXk3pOYe8","QxG7OkqoLX","1aApVXNlOP","Z8Yg6dlDSp","9tKT6PmtkH"],"dependent_operators":["KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","T2fj7uvVaJ","5KTvxBwnZo","inkyxCbjAn","DpFCA1CohY","9ICcGScMcE","f6k1SAg4EE"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1309","layer":4},{"info":"compute unary expreesion, input=1309, op_id = Z8Yg6dlDSp, unary_op_definition = 'a⇪⋭ = { ((a≒∊a)⋓(⇁⨣⪵a)) }', output=nan","layer":3},{"info":"number node, value=4630","layer":4},{"info":"compute unary expreesion, input=4630, op_id = 9tKT6PmtkH, unary_op_definition = 'a⫿ = { (≦∁a) , if (⋗⩬⋾a)<1 ; (a⪒a) , else }', output=4630","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4630, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = FlXk3pOYe8, unary_op_definition = '⩎⋉a = { (((a/a)∲⫓(≛a))∴((a⩨a)⨳⩥⨓(⊄⩳↩a))) , if (a⩇∃⫛268)<=24 or a==244 or (↩⪖a)>=4 ; (((a⨔⇊a)∠↢(↸⊣a))≚⊃≕((≦∁a)⨐461)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"⩎⋉(⊽((≴∭⊉3550⇪⋭)⩇∃⫛(≴∭⊉16333⫿)))=NaN","reverse_text":"NaN=⩎⋉(⊽((≴∭⊉3550⇪⋭)⩇∃⫛(≴∭⊉16333⫿)))","cot":[{"info":"≴∭⊉3550⇪⋭=NaN","layer":3},{"info":"≴∭⊉16333⫿=≴∭⊉16333","layer":3},{"info":"NaN⩇∃⫛≴∭⊉16333=NaN","layer":2},{"info":"⊽NaN=NaN","layer":1},{"info":"⩎⋉NaN=NaN","layer":0}]}
+{"id":689,"expression_no_base_symbol":"(($2764$⊋≦⊧$3108$)⪍↜⋙($2843$∙⊟$4156$)⩵∡$1529$⩘$1678$⨽(⇠$1682$))⩉⊫⨁","expression":"((≴∭⊉11026⊋≦⊧≴∭⊉12030)⪍↜⋙(≴∭⊉11201∙⊟≴∭⊉15055)⩵∡≴∭⊉4313⩘≴∭⊉4615⨽(⇠≴∭⊉4622))⩉⊫⨁","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3236,"operation_count":8,"complexity_ratio":404.5,"tree":{"type":"unary","operator":"⩉⊫⨁","unary_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":2764,"base":7},"right_expr":{"type":"numeric_atoms","value":3108,"base":7}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":2843,"base":7},"right_expr":{"type":"numeric_atoms","value":4156,"base":7}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":1529,"base":7},"right_expr":{"type":"numeric_atoms","value":1678,"base":7}},"right_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"numeric_atoms","value":1682,"base":7}}}}},"used_operators":["7qqUquhhSb","Y7wcNGrDQJ","L05ObWFQCd","oRDoc9rAEX","SxTAKzQCrw","8HhzD0ZcuI","cHh1gJQ2o6","18saOjeKKm"],"dependent_operators":["7j4O788W3g","NTOWxs364D","glklzrTFfD","tifHPKVTfV","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx"],"result":"≴∭⊉1040315","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2764","layer":4},{"info":"number node, value=3108","layer":4},{"info":"compute binary expreesion, left_input=2764, right_input=3108, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=-5632","layer":3},{"info":"number node, value=2843","layer":4},{"info":"number node, value=4156","layer":4},{"info":"compute binary expreesion, left_input=2843, right_input=4156, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=46805","layer":3},{"info":"compute binary expreesion, left_input=-5632, right_input=46805, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-66233","layer":2},{"info":"number node, value=1529","layer":4},{"info":"number node, value=1678","layer":4},{"info":"compute binary expreesion, left_input=1529, right_input=1678, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"number node, value=1682","layer":4},{"info":"compute unary expreesion, input=1682, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-1440","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-1440, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-71166","layer":2},{"info":"compute binary expreesion, left_input=-66233, right_input=-71166, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=127412","layer":1},{"info":"compute unary expreesion, input=127412, op_id = 7qqUquhhSb, unary_op_definition = 'a⩉⊫⨁ = { (331↺a) }', output=127412","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉11026⊋≦⊧≴∭⊉12030)⪍↜⋙(≴∭⊉11201∙⊟≴∭⊉15055)⩵∡≴∭⊉4313⩘≴∭⊉4615⨽(⇠≴∭⊉4622))⩉⊫⨁=≴∭⊉1040315","reverse_text":"≴∭⊉1040315=((≴∭⊉11026⊋≦⊧≴∭⊉12030)⪍↜⋙(≴∭⊉11201∙⊟≴∭⊉15055)⩵∡≴∭⊉4313⩘≴∭⊉4615⨽(⇠≴∭⊉4622))⩉⊫⨁","cot":[{"info":"≴∭⊉11026⊋≦⊧≴∭⊉12030=≴∭⊉-22264","layer":3},{"info":"≴∭⊉11201∙⊟≴∭⊉15055=≴∭⊉253313","layer":3},{"info":"≴∭⊉-22264⪍↜⋙≴∭⊉253313=≴∭⊉-364046","layer":2},{"info":"≴∭⊉4313⩘≴∭⊉4615=≴∭⊉316","layer":3},{"info":"⇠≴∭⊉4622=≴∭⊉-4125","layer":3},{"info":"≴∭⊉316⨽≴∭⊉-4125=≴∭⊉-414324","layer":2},{"info":"≴∭⊉-364046⩵∡≴∭⊉-414324=≴∭⊉1040315","layer":1},{"info":"≴∭⊉1040315⩉⊫⨁=≴∭⊉1040315","layer":0}]}
+{"id":690,"expression_no_base_symbol":"($7998$∼$5764$⇴$4843$↳∿⪆$2055$≬⋮($1247$⇽⩪)↞⋁($1910$⊫∞))⨸(($2033$⩇∃⫛$2371$)∣($6271$⪇≇⋚$3053$)-(→⩰$3706$)⨔⇊($3699$≒∊$1146$))","expression":"(≴∭⊉32214∼≴∭⊉22543⇴≴∭⊉20056↳∿⪆≴∭⊉5664≬⋮(≴∭⊉3431⇽⩪)↞⋁(≴∭⊉5366⊫∞))⨸((≴∭⊉5633⩇∃⫛≴∭⊉6625)∣(≴∭⊉24166⪇≇⋚≴∭⊉11621)-(→⩰≴∭⊉13543)⨔⇊(≴∭⊉13533≒∊≴∭⊉3225))","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":30186,"operation_count":15,"complexity_ratio":2012.4,"tree":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":7998,"base":7},"right_expr":{"type":"numeric_atoms","value":5764,"base":7}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":4843,"base":7},"right_expr":{"type":"numeric_atoms","value":2055,"base":7}}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"unary","operator":"⇽⩪","unary_expr":{"type":"numeric_atoms","value":1247,"base":7}},"right_expr":{"type":"unary","operator":"⊫∞","unary_expr":{"type":"numeric_atoms","value":1910,"base":7}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":2033,"base":7},"right_expr":{"type":"numeric_atoms","value":2371,"base":7}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":6271,"base":7},"right_expr":{"type":"numeric_atoms","value":3053,"base":7}}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"numeric_atoms","value":3706,"base":7}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":3699,"base":7},"right_expr":{"type":"numeric_atoms","value":1146,"base":7}}}}},"used_operators":["KmoU8R5UQR","kbkesczE7y","4JB6nKBMSY","DyGG3AbaNP","Cw4SuJJGHO","RqrPlJkxDo","FonBHBYJbU","pABnYW3G3E","rysDP5nf3Z","PPChnnnBFF","1aApVXNlOP","3sJ7IOPOlU","JclMnS0uGI","o8Pngz0Tml","5KTvxBwnZo"],"dependent_operators":["ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","sdazOOVcIp","NTOWxs364D","COABgblf1C","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","W4YGzv6Whe","e1ybzncUwg","23Mk6UjR3U","tifHPKVTfV","g55IO6H4Gj","eewbuw0ToL","AF7qkfDlqP","fu6greOZ01","3sJ7IOPOlU","7YooWSwCyH","ivGwdmUAux","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=7998","layer":4},{"info":"number node, value=5764","layer":4},{"info":"compute binary expreesion, left_input=7998, right_input=5764, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"number node, value=4843","layer":4},{"info":"number node, value=2055","layer":4},{"info":"compute binary expreesion, left_input=4843, right_input=2055, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=nan","layer":2},{"info":"number node, value=1247","layer":4},{"info":"compute unary expreesion, input=1247, op_id = FonBHBYJbU, unary_op_definition = 'a⇽⩪ = { (((≉88)⨰(⨑⩽⪐a))⨸⪁((a+95)⇼⇔∾(a⋷a))) }', output=3016","layer":3},{"info":"number node, value=1910","layer":4},{"info":"compute unary expreesion, input=1910, op_id = pABnYW3G3E, unary_op_definition = 'a⊫∞ = { ((a⨐⩸⫘149)⪇≇⋚(a∪⫐a)) , if (⫵↿a)>=80 ; a , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=3016, right_input=0, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=nan","layer":1},{"info":"number node, value=2033","layer":4},{"info":"number node, value=2371","layer":4},{"info":"compute binary expreesion, left_input=2033, right_input=2371, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=811","layer":3},{"info":"number node, value=6271","layer":4},{"info":"number node, value=3053","layer":4},{"info":"compute binary expreesion, left_input=6271, right_input=3053, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=811, right_input=0, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=146","layer":2},{"info":"number node, value=3706","layer":4},{"info":"compute unary expreesion, input=3706, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":3},{"info":"number node, value=3699","layer":4},{"info":"number node, value=1146","layer":4},{"info":"compute binary expreesion, left_input=3699, right_input=1146, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-3215","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3215, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=146, right_input=67, op_id = rysDP5nf3Z binary_op_definition= 'None', output=79","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=79, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)��⊣⊆(b∋158)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉32214∼≴∭⊉22543⇴≴∭⊉20056↳∿⪆≴∭⊉5664≬⋮(≴∭⊉3431⇽⩪)↞⋁(≴∭⊉5366⊫∞))⨸((≴∭⊉5633⩇∃⫛≴∭⊉6625)∣(≴∭⊉24166⪇≇⋚≴∭⊉11621)-(→⩰≴∭⊉13543)⨔⇊(≴∭⊉13533≒∊≴∭⊉3225))=NaN","reverse_text":"NaN=(≴∭⊉32214∼≴∭⊉22543⇴≴∭⊉20056↳∿⪆≴∭⊉5664≬⋮(≴∭⊉3431⇽⩪)↞⋁(≴∭⊉5366⊫∞))⨸((≴∭⊉5633⩇∃⫛≴∭⊉6625)∣(≴∭⊉24166⪇≇⋚≴∭⊉11621)-(→⩰≴∭⊉13543)⨔⇊(≴∭⊉13533≒∊≴∭⊉3225))","cot":[{"info":"≴∭⊉32214∼≴∭⊉22543=NaN","layer":3},{"info":"≴∭⊉20056↳∿⪆≴∭⊉5664=NaN","layer":3},{"info":"NaN⇴NaN=NaN","layer":2},{"info":"≴∭⊉3431⇽⩪=≴∭⊉11536","layer":3},{"info":"≴∭⊉5366⊫∞=≴∭⊉0","layer":3},{"info":"≴∭⊉11536↞⋁≴∭⊉0=NaN","layer":2},{"info":"NaN≬⋮NaN=NaN","layer":1},{"info":"≴∭⊉5633⩇∃⫛≴∭⊉6625=≴∭⊉2236","layer":3},{"info":"≴∭⊉24166⪇≇⋚≴∭⊉11621=≴∭⊉0","layer":3},{"info":"≴∭⊉2236∣≴∭⊉0=≴∭⊉266","layer":2},{"info":"→⩰≴∭⊉13543=NaN","layer":3},{"info":"≴∭⊉13533≒∊≴∭⊉3225=≴∭⊉-12242","layer":3},{"info":"NaN⨔⇊≴∭⊉-12242=≴∭⊉124","layer":2},{"info":"≴∭⊉266-≴∭⊉124=≴∭⊉142","layer":1},{"info":"NaN⨸≴∭⊉142=NaN","layer":0}]}
+{"id":691,"expression_no_base_symbol":"($8064$⩚⊴⇥$2674$⊉≛↸$8868$⪄$1809$)⋥≓≎(≸≮$8656$)⪨⊡$1445$⪬$4807$⊉≛↸(⊖∈($1084$⩨$1289$)⫁⪎(↸⊣$1452$))","expression":"(≴∭⊉32340⩚⊴⇥≴∭⊉10540⊉≛↸≴∭⊉34566⪄≴∭⊉5163)⋥≓≎(≸≮≴∭⊉34144)⪨⊡≴∭⊉4133⪬≴∭⊉20005⊉≛↸(⊖∈(≴∭⊉3106⩨≴∭⊉3521)⫁⪎(↸⊣≴∭⊉4143))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":11792,"operation_count":12,"complexity_ratio":982.6666666666666,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":8064,"base":7},"right_expr":{"type":"numeric_atoms","value":2674,"base":7}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":8868,"base":7},"right_expr":{"type":"numeric_atoms","value":1809,"base":7}}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"numeric_atoms","value":8656,"base":7}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":1445,"base":7},"right_expr":{"type":"numeric_atoms","value":4807,"base":7}}}},"right_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1084,"base":7},"right_expr":{"type":"numeric_atoms","value":1289,"base":7}},"right_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"numeric_atoms","value":1452,"base":7}}}}},"used_operators":["DZ8iAZOCBD","Qy55tPpLXF","NTOWxs364D","SUmda5xLS4","kuIXHzHcAH","AljMvE3RRm","Ez1Nq5fNfI","YFxL8Sc2Zy","xRrnTEsQ6j","2DlMacCsIx","wztAlM01eG"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=8064","layer":4},{"info":"number node, value=2674","layer":4},{"info":"compute binary expreesion, left_input=8064, right_input=2674, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-10859","layer":3},{"info":"number node, value=8868","layer":4},{"info":"number node, value=1809","layer":4},{"info":"compute binary expreesion, left_input=8868, right_input=1809, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-1315789","layer":3},{"info":"compute binary expreesion, left_input=-10859, right_input=-1315789, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=1315789","layer":2},{"info":"number node, value=8656","layer":4},{"info":"compute unary expreesion, input=8656, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=nan","layer":3},{"info":"number node, value=1445","layer":4},{"info":"number node, value=4807","layer":4},{"info":"compute binary expreesion, left_input=1445, right_input=4807, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1234, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1315789, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=nan","layer":1},{"info":"number node, value=1084","layer":4},{"info":"number node, value=1289","layer":4},{"info":"compute binary expreesion, left_input=1084, right_input=1289, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"number node, value=1452","layer":4},{"info":"compute unary expreesion, input=1452, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-1165","layer":3},{"info":"compute binary expreesion, left_input=-3, right_input=-1165, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=1162","layer":2},{"info":"compute unary expreesion, input=1162, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=17646","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=17646, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉32340⩚⊴⇥≴∭⊉10540⊉≛↸≴∭⊉34566⪄≴∭⊉5163)⋥≓≎(≸≮≴∭⊉34144)⪨⊡≴∭⊉4133⪬≴∭⊉20005⊉≛↸(⊖∈(≴∭⊉3106⩨≴∭⊉3521)⫁⪎(↸⊣≴∭⊉4143))=NaN","reverse_text":"NaN=(≴∭⊉32340⩚⊴⇥≴∭⊉10540⊉≛↸≴∭⊉34566⪄≴∭⊉5163)⋥≓≎(≸≮≴∭⊉34144)⪨⊡≴∭⊉4133⪬≴∭⊉20005⊉≛↸(⊖∈(≴∭⊉3106⩨≴∭⊉3521)⫁⪎(↸⊣≴∭⊉4143))","cot":[{"info":"≴∭⊉32340⩚⊴⇥≴∭⊉10540=≴∭⊉-43442","layer":3},{"info":"≴∭⊉34566⪄≴∭⊉5163=≴∭⊉-14120056","layer":3},{"info":"≴∭⊉-43442⊉≛↸≴∭⊉-14120056=≴∭⊉14120056","layer":2},{"info":"≸≮≴∭⊉34144=NaN","layer":3},{"info":"≴∭⊉4133⪬≴∭⊉20005=≴∭⊉3412","layer":3},{"info":"NaN⪨⊡≴∭⊉3412=NaN","layer":2},{"info":"≴∭⊉14120056⋥≓≎NaN=NaN","layer":1},{"info":"≴∭⊉3106⩨≴∭⊉3521=≴∭⊉-3","layer":3},{"info":"↸⊣≴∭⊉4143=≴∭⊉-3253","layer":3},{"info":"≴∭⊉-3⫁⪎≴∭⊉-3253=≴∭⊉3250","layer":2},{"info":"⊖∈≴∭⊉3250=≴∭⊉102306","layer":1},{"info":"NaN⊉≛↸≴∭⊉102306=NaN","layer":0}]}
+{"id":692,"expression_no_base_symbol":"⩷⨜⫀(($1490$≬⇓$9105$)⋹⋡⊁($6437$↱$4688$)⫏⊷)","expression":"⩷⨜⫀((≴∭⊉4226≬⇓≴∭⊉35355)⋹⋡⊁(≴∭⊉24524↱≴∭⊉16445)⫏⊷)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":536,"operation_count":5,"complexity_ratio":107.2,"tree":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"unary","operator":"⫏⊷","unary_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":1490,"base":7},"right_expr":{"type":"numeric_atoms","value":9105,"base":7}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":6437,"base":7},"right_expr":{"type":"numeric_atoms","value":4688,"base":7}}}}},"used_operators":["CDi0ktkjQ4","dcShxvzhyw","As8RqfVLgs","jWTQ2TZYIH","SR5kFfdi6N"],"dependent_operators":["ruOEQAzv1W","nhYeJWJD5X","FU0Cs4j7VP","7YooWSwCyH","HK0tfVPux8","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe"],"result":"≴∭⊉-2143","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1490","layer":4},{"info":"number node, value=9105","layer":4},{"info":"compute binary expreesion, left_input=1490, right_input=9105, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":3},{"info":"number node, value=6437","layer":4},{"info":"number node, value=4688","layer":4},{"info":"compute binary expreesion, left_input=6437, right_input=4688, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-13542","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=-13542, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=90","layer":2},{"info":"compute unary expreesion, input=90, op_id = dcShxvzhyw, unary_op_definition = 'a⫏⊷ = { ((224∪⫐a)⊾⪯⋞(a↛⩡⫤)) }', output=-820","layer":1},{"info":"compute unary expreesion, input=-820, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-766","layer":0}],"base":7,"result_base":7,"text":"⩷⨜⫀((≴∭⊉4226≬⇓≴∭⊉35355)⋹⋡⊁(≴∭⊉24524↱≴∭⊉16445)⫏⊷)=≴∭⊉-2143","reverse_text":"≴∭⊉-2143=⩷⨜⫀((≴∭⊉4226≬⇓≴∭⊉35355)⋹⋡⊁(≴∭⊉24524↱≴∭⊉16445)⫏⊷)","cot":[{"info":"≴∭⊉4226≬⇓≴∭⊉35355=≴∭⊉-31","layer":3},{"info":"≴∭⊉24524↱≴∭⊉16445=≴∭⊉-54324","layer":3},{"info":"≴∭⊉-31⋹⋡⊁≴∭⊉-54324=≴∭⊉156","layer":2},{"info":"≴∭⊉156⫏⊷=≴∭⊉-2251","layer":1},{"info":"⩷⨜⫀≴∭⊉-2251=≴∭⊉-2143","layer":0}]}
+{"id":693,"expression_no_base_symbol":"(⨛(⩎⋉($1306$⨑⩅≇$2899$)))⪟⇏(⩷(($3142$⪕$4224$)≀⫉$7922$⋥⋵⩄$3186$))","expression":"(⨛(⩎⋉(≴∭⊉3544⨑⩅≇≴∭⊉11311)))⪟⇏(⩷((≴∭⊉12106⪕≴∭⊉15213)≀⫉≴∭⊉32045⋥⋵⩄≴∭⊉12201))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3294,"operation_count":8,"complexity_ratio":411.75,"tree":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":1306,"base":7},"right_expr":{"type":"numeric_atoms","value":2899,"base":7}}}},"right_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":3142,"base":7},"right_expr":{"type":"numeric_atoms","value":4224,"base":7}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":7922,"base":7},"right_expr":{"type":"numeric_atoms","value":3186,"base":7}}}}},"used_operators":["GODebY97qR","CoMdbyAt7R","FlXk3pOYe8","h92wMvzauj","1h0rLqGiFr","oZj3VtZNQx","umQnsF7QlU","7t3wd0Fuz7"],"dependent_operators":["gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1306","layer":4},{"info":"number node, value=2899","layer":4},{"info":"compute binary expreesion, left_input=1306, right_input=2899, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-3918","layer":3},{"info":"compute unary expreesion, input=-3918, op_id = FlXk3pOYe8, unary_op_definition = '⩎⋉a = { (((a/a)∲⫓(≛a))∴((a⩨a)⨳⩥⨓(⊄⩳↩a))) , if (a⩇∃⫛268)<=24 or a==244 or (↩⪖a)>=4 ; (((a⨔⇊a)∠↢(↸⊣a))≚⊃≕((≦∁a)⨐461)) , else }', output=1650","layer":2},{"info":"compute unary expreesion, input=1650, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":1},{"info":"number node, value=3142","layer":4},{"info":"number node, value=4224","layer":4},{"info":"compute binary expreesion, left_input=3142, right_input=4224, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=2961","layer":3},{"info":"number node, value=7922","layer":4},{"info":"number node, value=3186","layer":4},{"info":"compute binary expreesion, left_input=7922, right_input=3186, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=2961, right_input=113, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉��b)⩧⪆(b⋭≵475))) }', output=2822","layer":2},{"info":"compute unary expreesion, input=2822, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-33943","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-33943, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(⨛(⩎⋉(≴∭⊉3544⨑⩅≇≴∭⊉11311)))⪟⇏(⩷((≴∭⊉12106⪕≴∭⊉15213)≀⫉≴∭⊉32045⋥⋵⩄≴∭⊉12201))=NaN","reverse_text":"NaN=(⨛(⩎⋉(≴∭⊉3544⨑⩅≇≴∭⊉11311)))⪟⇏(⩷((≴∭⊉12106⪕≴∭⊉15213)≀⫉≴∭⊉32045⋥⋵⩄≴∭⊉12201))","cot":[{"info":"≴∭⊉3544⨑⩅≇≴∭⊉11311=≴∭⊉-14265","layer":3},{"info":"⩎⋉≴∭⊉-14265=≴∭⊉4545","layer":2},{"info":"⨛≴∭⊉4545=NaN","layer":1},{"info":"≴∭⊉12106⪕≴∭⊉15213=≴∭⊉11430","layer":3},{"info":"≴∭⊉32045⋥⋵⩄≴∭⊉12201=≴∭⊉221","layer":3},{"info":"≴∭⊉11430≀⫉≴∭⊉221=≴∭⊉11141","layer":2},{"info":"⩷≴∭⊉11141=≴∭⊉-200650","layer":1},{"info":"NaN⪟⇏≴∭⊉-200650=NaN","layer":0}]}
+{"id":694,"expression_no_base_symbol":"⊥(≻⋜($5199$≦≮≮)⫗⊷⫓($5528$→⨶⪴$1673$))","expression":"⊥(≻⋜(≴∭⊉21105≦≮≮)⫗⊷⫓(≴∭⊉22055→⨶⪴≴∭⊉4610))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":89188,"operation_count":5,"complexity_ratio":17837.6,"tree":{"type":"unary","operator":"⊥","unary_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":5199,"base":7}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":5528,"base":7},"right_expr":{"type":"numeric_atoms","value":1673,"base":7}}}}},"used_operators":["Q3PJZHRvZv","3tj9sqzovi","zashukvMKz","D4vGDi5EA2","bF6eod5Gvf"],"dependent_operators":["fu6greOZ01","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5199","layer":4},{"info":"compute unary expreesion, input=5199, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-15597","layer":3},{"info":"number node, value=5528","layer":4},{"info":"number node, value=1673","layer":4},{"info":"compute binary expreesion, left_input=5528, right_input=1673, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-5019","layer":3},{"info":"compute binary expreesion, left_input=-15597, right_input=-5019, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":2},{"info":"compute unary expreesion, input=-134, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"⊥(≻⋜(≴∭⊉21105≦≮≮)⫗⊷⫓(≴∭⊉22055→⨶⪴≴∭⊉4610))=NaN","reverse_text":"NaN=⊥(≻⋜(≴∭⊉21105≦≮≮)⫗⊷⫓(≴∭⊉22055→⨶⪴≴∭⊉4610))","cot":[{"info":"≴∭⊉21105≦≮≮=≴∭⊉-63321","layer":3},{"info":"≴∭⊉22055→⨶⪴≴∭⊉4610=≴∭⊉-20430","layer":3},{"info":"≴∭⊉-63321⫗⊷⫓≴∭⊉-20430=≴∭⊉-251","layer":2},{"info":"≻⋜≴∭⊉-251=NaN","layer":1},{"info":"⊥NaN=NaN","layer":0}]}
+{"id":695,"expression_no_base_symbol":"(($5598$⇽⩪)≹⇙⪍(∷≠$1603$))⨜⨶(≅≯⇸$1850$⨓$6691$)⪛⫼($2093$∊∟⩊$2801$↸(⩷⨜⫀$1199$))⩦(($2188$⋘⨑⨽)⨵⪆$4682$∘$2065$)","expression":"((≴∭⊉22215⇽⩪)≹⇙⪍(∷≠≴∭⊉4450))⨜⨶(≅≯⇸≴∭⊉5252⨓≴∭⊉25336)⪛⫼(≴∭⊉6050∊∟⩊≴∭⊉11111↸(⩷⨜⫀≴∭⊉3332))⩦((≴∭⊉6244⋘⨑⨽)⨵⪆≴∭⊉16436∘≴∭⊉6010)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":7778,"operation_count":14,"complexity_ratio":555.5714285714286,"tree":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⇽⩪","unary_expr":{"type":"numeric_atoms","value":5598,"base":7}},"right_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"numeric_atoms","value":1603,"base":7}}},"right_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1850,"base":7},"right_expr":{"type":"numeric_atoms","value":6691,"base":7}}}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":2093,"base":7},"right_expr":{"type":"numeric_atoms","value":2801,"base":7}},"right_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"numeric_atoms","value":1199,"base":7}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⋘⨑⨽","unary_expr":{"type":"numeric_atoms","value":2188,"base":7}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":4682,"base":7},"right_expr":{"type":"numeric_atoms","value":2065,"base":7}}}}},"used_operators":["hyuBjUqXlG","HiPekx5b7W","AHs5Up7iyr","FonBHBYJbU","QiR2Oyf5Xj","apS25hmuAe","3ViojmjbAp","0kmYd0q39Y","1eCjFl0mb9","ddLRYrp01A","CDi0ktkjQ4","2DQ55sFlQl","WmT3o8z6ya","Z5m6OM72h2"],"dependent_operators":["HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","dWAJyo7jo9","W4YGzv6Whe","e1ybzncUwg","23Mk6UjR3U","tifHPKVTfV","g55IO6H4Gj","eewbuw0ToL","AF7qkfDlqP","7j4O788W3g","EBcxylXtPf","QMFrweE19q","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","ruOEQAzv1W","nhYeJWJD5X","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","DpFCA1CohY","N41Kp7NANJ","8w2t5hMYqp","QMFrweE19q","eH2TOUuTDT","rysDP5nf3Z"],"result":"≴∭⊉2552","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5598","layer":4},{"info":"compute unary expreesion, input=5598, op_id = FonBHBYJbU, unary_op_definition = 'a⇽⩪ = { (((≉88)⨰(⨑⩽⪐a))⨸⪁((a+95)⇼⇔∾(a⋷a))) }', output=11718","layer":3},{"info":"number node, value=1603","layer":4},{"info":"compute unary expreesion, input=1603, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=1603","layer":3},{"info":"compute binary expreesion, left_input=11718, right_input=1603, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=1850","layer":4},{"info":"number node, value=6691","layer":4},{"info":"compute binary expreesion, left_input=1850, right_input=6691, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-6694","layer":3},{"info":"compute unary expreesion, input=-6694, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=-19099","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-19099, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=nan","layer":1},{"info":"number node, value=2093","layer":4},{"info":"number node, value=2801","layer":4},{"info":"compute binary expreesion, left_input=2093, right_input=2801, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=2801","layer":3},{"info":"number node, value=1199","layer":4},{"info":"compute unary expreesion, input=1199, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-926","layer":3},{"info":"compute binary expreesion, left_input=2801, right_input=-926, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=2801","layer":2},{"info":"number node, value=2188","layer":4},{"info":"compute unary expreesion, input=2188, op_id = WmT3o8z6ya, unary_op_definition = 'a⋘⨑⨽ = { ((a⫡⨏a)+(a≋⫹)) , if (⊄⩳↩a)!=44 ; (⋗⩬⋾(394+a)) , else }', output=11723","layer":3},{"info":"number node, value=4682","layer":4},{"info":"number node, value=2065","layer":4},{"info":"compute binary expreesion, left_input=4682, right_input=2065, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=9364","layer":3},{"info":"compute binary expreesion, left_input=11723, right_input=9364, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=2801, right_input=160, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=5602","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=5602, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉22215⇽⩪)≹⇙⪍(∷≠≴∭⊉4450))⨜⨶(≅≯⇸≴∭⊉5252⨓≴∭⊉25336)⪛⫼(≴∭⊉6050∊∟⩊≴∭⊉11111↸(⩷⨜⫀≴∭⊉3332))⩦((≴∭⊉6244⋘⨑⨽)⨵⪆≴∭⊉16436∘≴∭⊉6010)=≴∭⊉2552","reverse_text":"≴∭⊉2552=((≴∭⊉22215⇽⩪)≹⇙⪍(∷≠≴∭⊉4450))⨜⨶(≅≯⇸≴∭⊉5252⨓≴∭⊉25336)⪛⫼(≴∭⊉6050∊∟⩊≴∭⊉11111↸(⩷⨜⫀≴∭⊉3332))⩦((≴∭⊉6244⋘⨑⨽)⨵⪆≴∭⊉16436∘≴∭⊉6010)","cot":[{"info":"≴∭⊉22215⇽⩪=≴∭⊉46110","layer":3},{"info":"∷≠≴∭⊉4450=≴∭⊉4450","layer":3},{"info":"≴∭⊉46110≹⇙⪍≴∭⊉4450=NaN","layer":2},{"info":"≴∭⊉5252⨓≴∭⊉25336=≴∭⊉-25342","layer":3},{"info":"≅≯⇸≴∭⊉-25342=≴∭⊉-106453","layer":2},{"info":"NaN⨜⨶≴∭⊉-106453=NaN","layer":1},{"info":"≴∭⊉6050∊∟⩊≴∭⊉11111=≴∭⊉11111","layer":3},{"info":"⩷⨜⫀≴∭⊉3332=≴∭⊉-2462","layer":3},{"info":"≴∭⊉11111↸≴∭⊉-2462=≴∭⊉11111","layer":2},{"info":"≴∭⊉6244⋘⨑⨽=≴∭⊉46115","layer":3},{"info":"≴∭⊉16436∘≴∭⊉6010=≴∭⊉36205","layer":3},{"info":"≴∭⊉46115⨵⪆≴∭⊉36205=≴∭⊉316","layer":2},{"info":"≴∭⊉11111⩦≴∭⊉316=≴∭⊉22222","layer":1},{"info":"NaN⪛⫼≴∭⊉22222=≴∭⊉2552","layer":0}]}
+{"id":696,"expression_no_base_symbol":"(≇⪴($5449$⊴$1444$⊋≦⊧($2712$∙⊟$1487$)))+⪬∐((($1248$⨫⇇↔$8162$)⩘(⇙⪊$1929$))⪢($2446$⇮⋭$1008$)⨑⩅≇($1756$⨑⩅≇$1046$))","expression":"(≇⪴(≴∭⊉21613⊴≴∭⊉4132⊋≦⊧(≴∭⊉10623∙⊟≴∭⊉4223)))+⪬∐(((≴∭⊉3432⨫⇇↔≴∭⊉32540)⩘(⇙⪊≴∭⊉5424))⪢(≴∭⊉10063⇮⋭≴∭⊉2640)⨑⩅≇(≴∭⊉5056⨑⩅≇≴∭⊉3023))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":18363,"operation_count":12,"complexity_ratio":1530.25,"tree":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":5449,"base":7},"right_expr":{"type":"numeric_atoms","value":1444,"base":7}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":2712,"base":7},"right_expr":{"type":"numeric_atoms","value":1487,"base":7}}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":1248,"base":7},"right_expr":{"type":"numeric_atoms","value":8162,"base":7}},"right_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"numeric_atoms","value":1929,"base":7}}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":2446,"base":7},"right_expr":{"type":"numeric_atoms","value":1008,"base":7}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":1756,"base":7},"right_expr":{"type":"numeric_atoms","value":1046,"base":7}}}}},"used_operators":["2GS7woTJqF","zoVPnxeHJ3","oRDoc9rAEX","Nsiff2A1zJ","SxTAKzQCrw","dWAJyo7jo9","cHh1gJQ2o6","LXhwmt4mBO","pB6Fcnrjim","h92wMvzauj","vkpjKywKVM"],"dependent_operators":["g55IO6H4Gj","D4vGDi5EA2","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","dWAJyo7jo9","14qkJME0vr","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","k8jYdgA6NY","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5449","layer":4},{"info":"number node, value=1444","layer":4},{"info":"compute binary expreesion, left_input=5449, right_input=1444, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=2712","layer":4},{"info":"number node, value=1487","layer":4},{"info":"compute binary expreesion, left_input=2712, right_input=1487, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=45102","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=45102, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=nan","layer":1},{"info":"number node, value=1248","layer":4},{"info":"number node, value=8162","layer":4},{"info":"compute binary expreesion, left_input=1248, right_input=8162, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"number node, value=1929","layer":4},{"info":"compute unary expreesion, input=1929, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-527, right_input=0, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":2},{"info":"number node, value=2446","layer":4},{"info":"number node, value=1008","layer":4},{"info":"compute binary expreesion, left_input=2446, right_input=1008, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"number node, value=1756","layer":4},{"info":"number node, value=1046","layer":4},{"info":"compute binary expreesion, left_input=1756, right_input=1046, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-5268","layer":3},{"info":"compute binary expreesion, left_input=-473, right_input=-5268, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=3744","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=3744, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≇⪴(≴∭⊉21613⊴≴∭⊉4132⊋≦⊧(≴∭⊉10623∙⊟≴∭⊉4223)))+⪬∐(((≴∭⊉3432⨫⇇↔≴∭⊉32540)⩘(⇙⪊≴∭⊉5424))⪢(≴∭⊉10063⇮⋭≴∭⊉2640)⨑⩅≇(≴∭⊉5056⨑⩅≇≴∭⊉3023))=NaN","reverse_text":"NaN=(≇⪴(≴∭⊉21613⊴≴∭⊉4132⊋≦⊧(≴∭⊉10623∙⊟≴∭⊉4223)))+⪬∐(((≴∭⊉3432⨫⇇↔≴∭⊉32540)⩘(⇙⪊≴∭⊉5424))⪢(≴∭⊉10063⇮⋭≴∭⊉2640)⨑⩅≇(≴∭⊉5056⨑⩅≇≴∭⊉3023))","cot":[{"info":"≴∭⊉21613⊴≴∭⊉4132=NaN","layer":3},{"info":"≴∭⊉10623∙⊟≴∭⊉4223=≴∭⊉245331","layer":3},{"info":"NaN⊋≦⊧≴∭⊉245331=NaN","layer":2},{"info":"≇⪴NaN=NaN","layer":1},{"info":"≴∭⊉3432⨫⇇↔≴∭⊉32540=≴∭⊉-1352","layer":3},{"info":"⇙⪊≴∭⊉5424=≴∭⊉0","layer":3},{"info":"≴∭⊉-1352⩘≴∭⊉0=≴∭⊉316","layer":2},{"info":"≴∭⊉10063⇮⋭≴∭⊉2640=≴∭⊉-1244","layer":3},{"info":"≴∭⊉5056⨑⩅≇≴∭⊉3023=≴∭⊉-21234","layer":3},{"info":"≴∭⊉-1244⨑⩅≇≴∭⊉-21234=≴∭⊉13626","layer":2},{"info":"≴∭⊉316⪢≴∭⊉13626=NaN","layer":1},{"info":"NaN+⪬∐NaN=NaN","layer":0}]}
+{"id":697,"expression_no_base_symbol":"+⊝⨔(($3128$⋷$5112$)⊕∕($2112$⨓$4964$)∧)","expression":"+⊝⨔((≴∭⊉12056⋷≴∭⊉20622)⊕∕(≴∭⊉6105⨓≴∭⊉20321)∧)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":5000,"operation_count":5,"complexity_ratio":1000.0,"tree":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":3128,"base":7},"right_expr":{"type":"numeric_atoms","value":5112,"base":7}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2112,"base":7},"right_expr":{"type":"numeric_atoms","value":4964,"base":7}}}}},"used_operators":["DhbWaqg5eL","z63VuFQld9","9cloC0Ngie","23Mk6UjR3U","3ViojmjbAp"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"≴∭⊉4303","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3128","layer":4},{"info":"number node, value=5112","layer":4},{"info":"compute binary expreesion, left_input=3128, right_input=5112, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=7096","layer":3},{"info":"number node, value=2112","layer":4},{"info":"number node, value=4964","layer":4},{"info":"compute binary expreesion, left_input=2112, right_input=4964, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4967","layer":3},{"info":"compute binary expreesion, left_input=7096, right_input=-4967, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=7096","layer":2},{"info":"compute unary expreesion, input=7096, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":0}],"base":7,"result_base":7,"text":"+⊝⨔((≴∭⊉12056⋷≴∭⊉20622)⊕∕(≴∭⊉6105⨓≴∭⊉20321)∧)=≴∭⊉4303","reverse_text":"≴∭⊉4303=+⊝⨔((≴∭⊉12056⋷≴∭⊉20622)⊕∕(≴∭⊉6105⨓≴∭⊉20321)∧)","cot":[{"info":"≴∭⊉12056⋷≴∭⊉20622=≴∭⊉26455","layer":3},{"info":"≴∭⊉6105⨓≴∭⊉20321=≴∭⊉-20324","layer":3},{"info":"≴∭⊉26455⊕∕≴∭⊉-20324=≴∭⊉26455","layer":2},{"info":"≴∭⊉26455∧=NaN","layer":1},{"info":"+⊝⨔NaN=≴∭⊉4303","layer":0}]}
+{"id":698,"expression_no_base_symbol":"(($1996$∙⊟$1345$)⨽∌($2747$+⇶⊼$1887$)∌↝(⋗⩴⪓$2611$⨔⇊$2988$))⊬⨰(($2842$≀⫉$6517$⪒$1541$⪟⇏$1060$)⩷∴($1542$∀⇚≩$2836$⪐))","expression":"((≴∭⊉5551∙⊟≴∭⊉3631)⨽∌(≴∭⊉11003+⇶⊼≴∭⊉5334)∌↝(⋗⩴⪓≴∭⊉10420⨔⇊≴∭⊉11466))⊬⨰((≴∭⊉11200≀⫉≴∭⊉25000⪒≴∭⊉4331⪟⇏≴∭⊉3043)⩷∴(≴∭⊉4332∀⇚≩≴∭⊉11161⪐))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":16171,"operation_count":13,"complexity_ratio":1243.923076923077,"tree":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":1996,"base":7},"right_expr":{"type":"numeric_atoms","value":1345,"base":7}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2747,"base":7},"right_expr":{"type":"numeric_atoms","value":1887,"base":7}}},"right_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":2611,"base":7},"right_expr":{"type":"numeric_atoms","value":2988,"base":7}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":2842,"base":7},"right_expr":{"type":"numeric_atoms","value":6517,"base":7}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":1541,"base":7},"right_expr":{"type":"numeric_atoms","value":1060,"base":7}}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1542,"base":7},"right_expr":{"type":"numeric_atoms","value":2836,"base":7}}}}},"used_operators":["s3Fd5m9Dh2","9Isq31Ruls","9samAPKr6k","SxTAKzQCrw","TpPTUOHfaN","nOKPl9n5zu","JclMnS0uGI","9FxExcQeMw","f6k1SAg4EE","oZj3VtZNQx","GODebY97qR","eH2TOUuTDT","LRNGc0VcxI"],"dependent_operators":["23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","AHs5Up7iyr","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1996","layer":4},{"info":"number node, value=1345","layer":4},{"info":"compute binary expreesion, left_input=1996, right_input=1345, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=35794","layer":3},{"info":"number node, value=2747","layer":4},{"info":"number node, value=1887","layer":4},{"info":"compute binary expreesion, left_input=2747, right_input=1887, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=35794, right_input=nan, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=nan","layer":2},{"info":"number node, value=2611","layer":4},{"info":"number node, value=2988","layer":4},{"info":"compute binary expreesion, left_input=2611, right_input=2988, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=2988","layer":3},{"info":"compute unary expreesion, input=2988, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=-2075","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-2075, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=nan","layer":1},{"info":"number node, value=2842","layer":4},{"info":"number node, value=6517","layer":4},{"info":"compute binary expreesion, left_input=2842, right_input=6517, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"number node, value=1541","layer":4},{"info":"number node, value=1060","layer":4},{"info":"compute binary expreesion, left_input=1541, right_input=1060, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=2822, right_input=-1, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-2821","layer":2},{"info":"number node, value=1542","layer":4},{"info":"number node, value=2836","layer":4},{"info":"compute binary expreesion, left_input=1542, right_input=2836, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-2821, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉5551∙⊟≴∭⊉3631)⨽∌(≴∭⊉11003+⇶⊼≴∭⊉5334)∌↝(⋗⩴⪓≴∭⊉10420⨔⇊≴∭⊉11466))⊬⨰((≴∭⊉11200≀⫉≴∭⊉25000⪒≴∭⊉4331⪟⇏≴∭⊉3043)⩷∴(≴∭⊉4332∀⇚≩≴∭⊉11161⪐))=NaN","reverse_text":"NaN=((≴∭⊉5551∙⊟≴∭⊉3631)⨽∌(≴∭⊉11003+⇶⊼≴∭⊉5334)∌↝(⋗⩴⪓≴∭⊉10420⨔⇊≴∭⊉11466))⊬⨰((≴∭⊉11200≀⫉≴∭⊉25000⪒≴∭⊉4331⪟⇏≴∭⊉3043)⩷∴(≴∭⊉4332∀⇚≩≴∭⊉11161⪐))","cot":[{"info":"≴∭⊉5551∙⊟≴∭⊉3631=≴∭⊉206233","layer":3},{"info":"≴∭⊉11003+⇶⊼≴∭⊉5334=NaN","layer":3},{"info":"≴∭⊉206233⨽∌NaN=NaN","layer":2},{"info":"≴∭⊉10420⨔⇊≴∭⊉11466=≴∭⊉11466","layer":3},{"info":"⋗⩴⪓≴∭⊉11466=≴∭⊉-6023","layer":2},{"info":"NaN∌↝≴∭⊉-6023=NaN","layer":1},{"info":"≴∭⊉11200≀⫉≴∭⊉25000=≴∭⊉11141","layer":3},{"info":"≴∭⊉4331⪟⇏≴∭⊉3043=≴∭⊉-1","layer":3},{"info":"≴∭⊉11141⪒≴∭⊉-1=≴∭⊉-11140","layer":2},{"info":"≴∭⊉4332∀⇚≩≴∭⊉11161=NaN","layer":3},{"info":"NaN⪐=NaN","layer":2},{"info":"≴∭⊉-11140⩷∴NaN=NaN","layer":1},{"info":"NaN⊬⨰NaN=NaN","layer":0}]}
+{"id":699,"expression_no_base_symbol":"(⊢≑≆(($2642$⇄$6880$)↳∿⪆($6104$⪒$1119$)))⊉≛↸(($1347$⊍⩺⋍$1238$)↼⊘⨖($1354$⪉⨛$1680$))⪬((⨙⪌$6431$)⩵∡($7747$⊿∆))","expression":"(⊢≑≆((≴∭⊉10463⇄≴∭⊉26026)↳∿⪆(≴∭⊉23540⪒≴∭⊉3156)))⊉≛↸((≴∭⊉3633⊍⩺⋍≴∭⊉3416)↼⊘⨖(≴∭⊉3643⪉⨛≴∭⊉4620))⪬((⨙⪌≴∭⊉24515)⩵∡(≴∭⊉31405⊿∆))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":4254,"operation_count":12,"complexity_ratio":354.5,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":2642,"base":7},"right_expr":{"type":"numeric_atoms","value":6880,"base":7}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":6104,"base":7},"right_expr":{"type":"numeric_atoms","value":1119,"base":7}}}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":1347,"base":7},"right_expr":{"type":"numeric_atoms","value":1238,"base":7}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":1354,"base":7},"right_expr":{"type":"numeric_atoms","value":1680,"base":7}}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"numeric_atoms","value":6431,"base":7}},"right_expr":{"type":"unary","operator":"⊿∆","unary_expr":{"type":"numeric_atoms","value":7747,"base":7}}}}},"used_operators":["DZ8iAZOCBD","27wFxooxGf","Cw4SuJJGHO","3EYGwJThht","f6k1SAg4EE","Ez1Nq5fNfI","bPywburJMS","OXDGMFPWZM","EWw2JM7wp4","Y7wcNGrDQJ","vEGLkm4Z2k","fv3ZujxkQL"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","NTOWxs364D","glklzrTFfD","tifHPKVTfV","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","NTOWxs364D"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2642","layer":4},{"info":"number node, value=6880","layer":4},{"info":"compute binary expreesion, left_input=2642, right_input=6880, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"number node, value=6104","layer":4},{"info":"number node, value=1119","layer":4},{"info":"compute binary expreesion, left_input=6104, right_input=1119, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7223","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-7223, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=nan","layer":1},{"info":"number node, value=1347","layer":4},{"info":"number node, value=1238","layer":4},{"info":"compute binary expreesion, left_input=1347, right_input=1238, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"number node, value=1354","layer":4},{"info":"number node, value=1680","layer":4},{"info":"compute binary expreesion, left_input=1354, right_input=1680, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=2597","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2597, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=4972","layer":2},{"info":"number node, value=6431","layer":4},{"info":"compute unary expreesion, input=6431, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":3},{"info":"number node, value=7747","layer":4},{"info":"compute unary expreesion, input=7747, op_id = fv3ZujxkQL, unary_op_definition = 'a⊿∆ = { (a⩚⊴⇥a) }', output=-15615","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=-15615, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-17472","layer":2},{"info":"compute binary expreesion, left_input=4972, right_input=-17472, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1234, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(⊢≑≆((≴∭⊉10463⇄≴∭⊉26026)↳∿⪆(≴∭⊉23540⪒≴∭⊉3156)))⊉≛↸((≴∭⊉3633⊍⩺⋍≴∭⊉3416)↼⊘⨖(≴∭⊉3643⪉⨛≴∭⊉4620))⪬((⨙⪌≴∭⊉24515)⩵∡(≴∭⊉31405⊿∆))=NaN","reverse_text":"NaN=(⊢���≆((≴∭⊉10463⇄≴∭⊉26026)↳∿⪆(≴∭⊉23540⪒≴∭⊉3156)))⊉≛↸((≴∭⊉3633⊍⩺⋍≴∭⊉3416)↼⊘⨖(≴∭⊉3643⪉⨛≴∭⊉4620))⪬((⨙⪌≴∭⊉24515)⩵∡(≴∭⊉31405⊿∆))","cot":[{"info":"≴∭⊉10463⇄≴∭⊉26026=≴∭⊉0","layer":3},{"info":"≴∭⊉23540⪒≴∭⊉3156=≴∭⊉-30026","layer":3},{"info":"≴∭⊉0↳∿⪆≴∭⊉-30026=NaN","layer":2},{"info":"⊢≑≆NaN=NaN","layer":1},{"info":"≴∭⊉3633⊍⩺⋍≴∭⊉3416=NaN","layer":3},{"info":"≴∭⊉3643⪉⨛≴∭⊉4620=≴∭⊉10400","layer":3},{"info":"NaN↼⊘⨖≴∭⊉10400=≴∭⊉20332","layer":2},{"info":"⨙⪌≴∭⊉24515=≴∭⊉2350","layer":3},{"info":"≴∭⊉31405⊿∆=≴∭⊉-63345","layer":3},{"info":"≴∭⊉2350⩵∡≴∭⊉-63345=≴∭⊉-101640","layer":2},{"info":"≴∭⊉20332⪬≴∭⊉-101640=≴∭⊉3412","layer":1},{"info":"NaN⊉≛↸≴∭⊉3412=NaN","layer":0}]}
+{"id":700,"expression_no_base_symbol":"((⊥$3123$⪎↠$7682$)↪⪝)⨑≵⋬(($7323$⋓$6414$)∴($4449$≧⫂∧$1546$)⨲∙)","expression":"((⊥≴∭⊉12051⪎↠≴∭⊉31253)↪⪝)⨑≵⋬((≴∭⊉30231⋓≴∭⊉24462)∴(≴∭⊉15654≧⫂∧≴∭⊉4336)⨲∙)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":27331,"operation_count":8,"complexity_ratio":3416.375,"tree":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":3123,"base":7},"right_expr":{"type":"numeric_atoms","value":7682,"base":7}}}},"right_expr":{"type":"unary","operator":"⨲∙","unary_expr":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":7323,"base":7},"right_expr":{"type":"numeric_atoms","value":6414,"base":7}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":4449,"base":7},"right_expr":{"type":"numeric_atoms","value":1546,"base":7}}}}},"used_operators":["XnXgA4xnOs","l07mrZUIn9","Q3PJZHRvZv","3tVxb0NHM4","cRahaglYVE","hrf7POJlIJ","T2fj7uvVaJ","Ph9nP6C5qx"],"dependent_operators":["eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","9HNa5Wba9A","2DDjHMKMc0","fu6greOZ01","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","XGcMNugi78","zR4jO40bMj","mp7IySMOzn","bJkvcejdHO","grXIztHqDa","dWAJyo7jo9","DmTXOeWf9t","g55IO6H4Gj","D4vGDi5EA2","A8NUZmVepG","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd"],"result":"≴∭⊉-4532364626","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3123","layer":4},{"info":"number node, value=7682","layer":4},{"info":"compute binary expreesion, left_input=3123, right_input=7682, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=-163","layer":2},{"info":"compute unary expreesion, input=-163, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=-9972666","layer":1},{"info":"number node, value=7323","layer":4},{"info":"number node, value=6414","layer":4},{"info":"compute binary expreesion, left_input=7323, right_input=6414, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"number node, value=4449","layer":4},{"info":"number node, value=1546","layer":4},{"info":"compute binary expreesion, left_input=4449, right_input=1546, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1073","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1073, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=1648","layer":2},{"info":"compute unary expreesion, input=1648, op_id = cRahaglYVE, unary_op_definition = 'a⨲∙ = { ((a⪢(a⇷a))⪶≀⋏(↥(30⫞⩸⩒376))) , if (a≦≮≮)>473 ; (121⨸⪁((a⊲⩕⊾a)≎⊠⪸(28⪃↞⩐))) , else }', output=20449846","layer":1},{"info":"compute binary expreesion, left_input=-9972666, right_input=20449846, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-193010873","layer":0}],"base":7,"result_base":7,"text":"((⊥≴∭⊉12051⪎↠≴∭⊉31253)↪⪝)⨑≵⋬((≴∭⊉30231⋓≴∭⊉24462)∴(≴∭⊉15654≧⫂∧≴∭⊉4336)⨲∙)=≴∭⊉-4532364626","reverse_text":"≴∭⊉-4532364626=((⊥≴∭⊉12051⪎↠≴∭⊉31253)↪⪝)⨑≵⋬((≴∭⊉30231⋓≴∭⊉24462)∴(≴∭⊉15654≧⫂∧≴∭⊉4336)⨲∙)","cot":[{"info":"≴∭⊉12051⪎↠≴∭⊉31253=≴∭⊉316","layer":3},{"info":"⊥≴∭⊉316=≴∭⊉-322","layer":2},{"info":"≴∭⊉-322↪⪝=≴∭⊉-150523554","layer":1},{"info":"≴∭⊉30231⋓≴∭⊉24462=≴∭⊉0","layer":3},{"info":"≴∭⊉15654≧⫂∧≴∭⊉4336=≴∭⊉3062","layer":3},{"info":"≴∭⊉0∴≴∭⊉3062=≴∭⊉4543","layer":2},{"info":"≴∭⊉4543⨲∙=≴∭⊉335551354","layer":1},{"info":"≴∭⊉-150523554⨑≵⋬≴∭⊉335551354=≴∭⊉-4532364626","layer":0}]}
+{"id":701,"expression_no_base_symbol":"(($2118$⪕$4071$⪠⩆⊳)∙⊟($7880$⨚⇆$1490$⫌⩉⩟$6681$∠⫱$1217$))⪥((⨵≀≌$1712$)≃($6397$∪⫐$4111$)⪉⨛(⨙⪌(⊙↵-$2476$)))","expression":"((≴∭⊉6114⪕≴∭⊉14604⪠⩆⊳)∙⊟(≴∭⊉31655⨚⇆≴∭⊉4226⫌⩉⩟≴∭⊉25323∠⫱≴∭⊉3356))⪥((⨵≀≌≴∭⊉4664)≃(≴∭⊉24436∪⫐≴∭⊉14662)⪉⨛(⨙⪌(⊙↵-≴∭⊉10135)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":66542,"operation_count":13,"complexity_ratio":5118.615384615385,"tree":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":2118,"base":7},"right_expr":{"type":"numeric_atoms","value":4071,"base":7}}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":7880,"base":7},"right_expr":{"type":"numeric_atoms","value":1490,"base":7}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":6681,"base":7},"right_expr":{"type":"numeric_atoms","value":1217,"base":7}}}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1712,"base":7}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":6397,"base":7},"right_expr":{"type":"numeric_atoms","value":4111,"base":7}}},"right_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":2476,"base":7}}}}},"used_operators":["QbnwKVWMIQ","SxTAKzQCrw","JLbD19bQDL","umQnsF7QlU","XIIwhv8d0m","lwHaAYXP2r","QvoQhV0rrE","EWw2JM7wp4","YbVcJGFEVW","srAu1WTS94","7YooWSwCyH","vEGLkm4Z2k","oWn0xqSxBt"],"dependent_operators":["WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rJVOvQCfKK","2DDjHMKMc0","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"≴∭⊉540306","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2118","layer":4},{"info":"number node, value=4071","layer":4},{"info":"compute binary expreesion, left_input=2118, right_input=4071, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=1066","layer":3},{"info":"compute unary expreesion, input=1066, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":2},{"info":"number node, value=7880","layer":4},{"info":"number node, value=1490","layer":4},{"info":"compute binary expreesion, left_input=7880, right_input=1490, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"number node, value=6681","layer":4},{"info":"number node, value=1217","layer":4},{"info":"compute binary expreesion, left_input=6681, right_input=1217, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1234, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-50, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=22285","layer":1},{"info":"number node, value=1712","layer":4},{"info":"compute unary expreesion, input=1712, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-5136","layer":3},{"info":"number node, value=6397","layer":4},{"info":"number node, value=4111","layer":4},{"info":"compute binary expreesion, left_input=6397, right_input=4111, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=6397","layer":3},{"info":"compute binary expreesion, left_input=-5136, right_input=6397, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=10252","layer":2},{"info":"number node, value=2476","layer":4},{"info":"compute unary expreesion, input=2476, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute unary expreesion, input=-1, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":2},{"info":"compute binary expreesion, left_input=10252, right_input=868, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=30103","layer":1},{"info":"compute binary expreesion, left_input=22285, right_input=30103, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=93792","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉6114⪕≴∭⊉14604⪠⩆⊳)∙⊟(≴∭⊉31655⨚⇆≴∭⊉4226⫌⩉⩟≴∭⊉25323∠⫱≴∭⊉3356))⪥((⨵≀≌≴∭⊉4664)≃(≴∭⊉24436∪⫐≴∭⊉14662)⪉⨛(⨙⪌(⊙↵-≴∭⊉10135)))=≴∭⊉540306","reverse_text":"≴∭⊉540306=((≴∭⊉6114⪕≴∭⊉14604⪠⩆⊳)∙⊟(≴∭⊉31655⨚⇆≴∭⊉4226⫌⩉⩟≴∭⊉25323∠⫱≴∭⊉3356))⪥((⨵≀≌≴∭⊉4664)≃(≴∭⊉24436∪⫐≴∭⊉14662)⪉⨛(⨙⪌(⊙↵-≴∭⊉10135)))","cot":[{"info":"≴∭⊉6114⪕≴∭⊉14604=≴∭⊉3052","layer":3},{"info":"≴∭⊉3052⪠⩆⊳=≴∭⊉0","layer":2},{"info":"≴∭⊉31655⨚⇆≴∭⊉4226=NaN","layer":3},{"info":"≴∭⊉25323∠⫱≴∭⊉3356=≴∭⊉3412","layer":3},{"info":"NaN⫌⩉⩟≴∭⊉3412=≴∭⊉-101","layer":2},{"info":"≴∭⊉0∙⊟≴∭⊉-101=≴∭⊉121654","layer":1},{"info":"⨵≀≌≴∭⊉4664=≴∭⊉-20655","layer":3},{"info":"≴∭⊉24436∪⫐≴∭⊉14662=≴∭⊉24436","layer":3},{"info":"≴∭⊉-20655≃≴∭⊉24436=≴∭⊉41614","layer":2},{"info":"⊙↵-≴∭⊉10135=≴∭⊉-1","layer":3},{"info":"⨙⪌≴∭⊉-1=≴∭⊉2350","layer":2},{"info":"≴∭⊉41614⪉⨛≴∭⊉2350=≴∭⊉153523","layer":1},{"info":"≴∭⊉121654⪥≴∭⊉153523=≴∭⊉540306","layer":0}]}
+{"id":702,"expression_no_base_symbol":"↸⊣((($1772$⨒$3250$)⊋($2211$↙$1337$))↠)","expression":"↸⊣(((≴∭⊉5111⨒≴∭⊉12322)⊋(≴∭⊉6306↙≴∭⊉3620))↠)","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":3028,"operation_count":5,"complexity_ratio":605.6,"tree":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"unary","operator":"↠","unary_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":1772,"base":7},"right_expr":{"type":"numeric_atoms","value":3250,"base":7}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2211,"base":7},"right_expr":{"type":"numeric_atoms","value":1337,"base":7}}}}},"used_operators":["wztAlM01eG","LBdsKIvxzf","W4tP9CfskL","y75s1iXyHd","yyfyN0ffXY"],"dependent_operators":["N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","d7ASUq0ydm","rysDP5nf3Z","Noe24qw2ks","xRrnTEsQ6j","dfKe02y8D2","Tw270M8GLb","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1772","layer":4},{"info":"number node, value=3250","layer":4},{"info":"compute binary expreesion, left_input=1772, right_input=3250, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-10260","layer":3},{"info":"number node, value=2211","layer":4},{"info":"number node, value=1337","layer":4},{"info":"compute binary expreesion, left_input=2211, right_input=1337, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4011","layer":3},{"info":"compute binary expreesion, left_input=-10260, right_input=-4011, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)���≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=-85674","layer":2},{"info":"compute unary expreesion, input=-85674, op_id = LBdsKIvxzf, unary_op_definition = 'a↠ = { ((⨰⫟⨤603)⨐(a⫯⪬∳a)) , if (a⫁⪎18)<=15 ; (167⫚↹⊑(a-a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"↸⊣(((≴∭⊉5111⨒≴∭⊉12322)⊋(≴∭⊉6306↙≴∭⊉3620))↠)=NaN","reverse_text":"NaN=↸⊣(((≴∭⊉5111⨒≴∭⊉12322)⊋(≴∭⊉6306↙≴∭⊉3620))↠)","cot":[{"info":"≴∭⊉5111⨒≴∭⊉12322=≴∭⊉-41625","layer":3},{"info":"≴∭⊉6306↙≴∭⊉3620=≴∭⊉-14460","layer":3},{"info":"≴∭⊉-41625⊋≴∭⊉-14460=≴∭⊉-504531","layer":2},{"info":"≴∭⊉-504531↠=NaN","layer":1},{"info":"↸⊣NaN=NaN","layer":0}]}
+{"id":703,"expression_no_base_symbol":"(($4084$⩦$6274$⊾⪯⋞$3776$⫢⨠$1001$)⪇≇⋚(≑⋹($5044$↡⊰⫅$1640$)))⪪((($6131$∀⇚≩$2267$)⩦($2467$*$1901$))⇪⋭)","expression":"((≴∭⊉14623⩦≴∭⊉24202⊾⪯⋞≴∭⊉14003⫢⨠≴∭⊉2630)⪇≇⋚(≑⋹(≴∭⊉20464↡⊰⫅≴∭⊉4532)))⪪(((≴∭⊉23606∀⇚≩≴∭⊉6416)⩦(≴∭⊉10123*≴∭⊉5354))⇪⋭)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":68147,"operation_count":11,"complexity_ratio":6195.181818181818,"tree":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":4084,"base":7},"right_expr":{"type":"numeric_atoms","value":6274,"base":7}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":3776,"base":7},"right_expr":{"type":"numeric_atoms","value":1001,"base":7}}},"right_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":5044,"base":7},"right_expr":{"type":"numeric_atoms","value":1640,"base":7}}}},"right_expr":{"type":"unary","operator":"⇪⋭","unary_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":6131,"base":7},"right_expr":{"type":"numeric_atoms","value":2267,"base":7}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2467,"base":7},"right_expr":{"type":"numeric_atoms","value":1901,"base":7}}}}},"used_operators":["xD69zh8xqp","3sJ7IOPOlU","HK0tfVPux8","0kmYd0q39Y","xlXykHWxX1","6B9nyZLogK","VCtxkLNOzz","Z8Yg6dlDSp","LRNGc0VcxI","9HNa5Wba9A"],"dependent_operators":["FU0Cs4j7VP","JclMnS0uGI","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","T2fj7uvVaJ","5KTvxBwnZo","inkyxCbjAn","X99M06cbEe","W4YGzv6Whe"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4084","layer":4},{"info":"number node, value=6274","layer":4},{"info":"compute binary expreesion, left_input=4084, right_input=6274, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=8168","layer":3},{"info":"number node, value=3776","layer":4},{"info":"number node, value=1001","layer":4},{"info":"compute binary expreesion, left_input=3776, right_input=1001, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=8168, right_input=160, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=-818","layer":2},{"info":"number node, value=5044","layer":4},{"info":"number node, value=1640","layer":4},{"info":"compute binary expreesion, left_input=5044, right_input=1640, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=3280","layer":3},{"info":"compute unary expreesion, input=3280, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=1650","layer":2},{"info":"compute binary expreesion, left_input=-818, right_input=1650, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":1},{"info":"number node, value=6131","layer":4},{"info":"number node, value=2267","layer":4},{"info":"compute binary expreesion, left_input=6131, right_input=2267, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=2467","layer":4},{"info":"number node, value=1901","layer":4},{"info":"compute binary expreesion, left_input=2467, right_input=1901, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=4689767","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4689767, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Z8Yg6dlDSp, unary_op_definition = 'a⇪⋭ = { ((a≒∊a)⋓(⇁⨣⪵a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=0","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉14623⩦≴∭⊉24202⊾⪯⋞≴∭⊉14003⫢⨠≴∭⊉2630)⪇≇⋚(≑⋹(≴∭⊉20464↡⊰⫅≴∭⊉4532)))⪪(((≴∭⊉23606∀⇚≩≴∭⊉6416)⩦(≴∭⊉10123*≴∭⊉5354))⇪⋭)=≴∭⊉0","reverse_text":"≴∭⊉0=((≴∭⊉14623⩦≴∭⊉24202⊾⪯⋞≴∭⊉14003⫢⨠≴∭⊉2630)⪇≇⋚(≑⋹(≴∭⊉20464↡⊰⫅≴∭⊉4532)))⪪(((≴∭⊉23606∀⇚≩≴∭⊉6416)⩦(≴∭⊉10123*≴∭⊉5354))⇪⋭)","cot":[{"info":"≴∭⊉14623⩦≴∭⊉24202=≴∭⊉32546","layer":3},{"info":"≴∭⊉14003⫢⨠≴∭⊉2630=≴∭⊉316","layer":3},{"info":"≴∭⊉32546⊾⪯⋞≴∭⊉316=≴∭⊉-2246","layer":2},{"info":"≴∭⊉20464↡⊰⫅≴∭⊉4532=≴∭⊉12364","layer":3},{"info":"≑⋹≴∭⊉12364=≴∭⊉4545","layer":2},{"info":"≴∭⊉-2246⪇≇⋚≴∭⊉4545=≴∭⊉0","layer":1},{"info":"≴∭⊉23606∀⇚≩≴∭⊉6416=NaN","layer":3},{"info":"≴∭⊉10123*≴∭⊉5354=≴∭⊉54601535","layer":3},{"info":"NaN⩦≴∭⊉54601535=NaN","layer":2},{"info":"NaN⇪⋭=NaN","layer":1},{"info":"≴∭⊉0⪪NaN=≴∭⊉0","layer":0}]}
+{"id":704,"expression_no_base_symbol":"⪹((⨝⨆$1325$⨑⩅≇$3264$)∲⫓($1431$⊔$6142$⋘⨑⨽))","expression":"⪹((⨝⨆≴∭⊉3602⨑⩅≇≴∭⊉12342)∲⫓(≴∭⊉4113⊔≴∭⊉23623⋘⨑⨽))","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":3353,"operation_count":6,"complexity_ratio":558.8333333333334,"tree":{"type":"unary","operator":"⪹","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":1325,"base":7},"right_expr":{"type":"numeric_atoms","value":3264,"base":7}}},"right_expr":{"type":"unary","operator":"⋘⨑⨽","unary_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":1431,"base":7},"right_expr":{"type":"numeric_atoms","value":6142,"base":7}}}}},"used_operators":["USyYr0JgAa","i8ToyICDmI","bQ67fsrMVf","h92wMvzauj","WmT3o8z6ya","E4l6HwMY31"],"dependent_operators":["tifHPKVTfV","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","W4YGzv6Whe","DpFCA1CohY","N41Kp7NANJ","8w2t5hMYqp","QMFrweE19q","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q"],"result":"≴∭⊉345","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1325","layer":4},{"info":"number node, value=3264","layer":4},{"info":"compute binary expreesion, left_input=1325, right_input=3264, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-3975","layer":3},{"info":"compute unary expreesion, input=-3975, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=-4184","layer":2},{"info":"number node, value=1431","layer":4},{"info":"number node, value=6142","layer":4},{"info":"compute binary expreesion, left_input=1431, right_input=6142, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=31172","layer":3},{"info":"compute unary expreesion, input=31172, op_id = WmT3o8z6ya, unary_op_definition = 'a⋘⨑⨽ = { ((a⫡⨏a)+(a≋⫹)) , if (⊄⩳↩a)!=44 ; (⋗⩬⋾(394+a)) , else }', output=156643","layer":2},{"info":"compute binary expreesion, left_input=-4184, right_input=156643, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=180","layer":0}],"base":7,"result_base":7,"text":"⪹((⨝⨆≴∭⊉3602⨑⩅≇≴∭⊉12342)∲⫓(≴∭⊉4113⊔≴∭⊉23623⋘⨑⨽))=≴∭⊉345","reverse_text":"≴∭⊉345=⪹((⨝⨆≴∭⊉3602⨑⩅≇≴∭⊉12342)∲⫓(≴∭⊉4113⊔≴∭⊉23623⋘⨑⨽))","cot":[{"info":"≴∭⊉3602⨑⩅≇≴∭⊉12342=≴∭⊉-14406","layer":3},{"info":"⨝⨆≴∭⊉-14406=≴∭⊉-15125","layer":2},{"info":"≴∭⊉4113⊔≴∭⊉23623=≴∭⊉156611","layer":3},{"info":"≴∭⊉156611⋘⨑⨽=≴∭⊉1221454","layer":2},{"info":"≴∭⊉-15125∲⫓≴∭⊉1221454=≴∭⊉0","layer":1},{"info":"⪹≴∭⊉0=≴∭⊉345","layer":0}]}
+{"id":705,"expression_no_base_symbol":"(↓⇌($3600$⇤$1932$)≌(⩰$2789$))⊫∞","expression":"(↓⇌(≴∭⊉13332⇤≴∭⊉5430)≌(⩰≴∭⊉11063))⊫∞","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":27242,"operation_count":5,"complexity_ratio":5448.4,"tree":{"type":"unary","operator":"⊫∞","unary_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":3600,"base":7},"right_expr":{"type":"numeric_atoms","value":1932,"base":7}},"right_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"numeric_atoms","value":2789,"base":7}}}}},"used_operators":["pABnYW3G3E","PxpmPgHHJV","lyWz822IDG","YSKBFp38Pu","WkeUrDK8WX"],"dependent_operators":["fu6greOZ01","3sJ7IOPOlU","7YooWSwCyH","ivGwdmUAux","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3600","layer":4},{"info":"number node, value=1932","layer":4},{"info":"compute binary expreesion, left_input=3600, right_input=1932, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-24812","layer":3},{"info":"number node, value=2789","layer":4},{"info":"compute unary expreesion, input=2789, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-3789","layer":3},{"info":"compute binary expreesion, left_input=-24812, right_input=-3789, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = pABnYW3G3E, unary_op_definition = 'a⊫∞ = { ((a⨐⩸⫘149)⪇≇⋚(a∪⫐a)) , if (⫵↿a)>=80 ; a , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(↓⇌(≴∭⊉13332⇤≴∭⊉5430)≌(⩰≴∭⊉11063))⊫∞=NaN","reverse_text":"NaN=(↓⇌(≴∭⊉13332⇤≴∭⊉5430)≌(⩰≴∭⊉11063))⊫∞","cot":[{"info":"≴∭⊉13332⇤≴∭⊉5430=≴∭⊉-132224","layer":3},{"info":"⩰≴∭⊉11063=≴∭⊉-14022","layer":3},{"info":"≴∭⊉-132224≌≴∭⊉-14022=NaN","layer":2},{"info":"↓⇌NaN=NaN","layer":1},{"info":"NaN⊫∞=NaN","layer":0}]}
+{"id":706,"expression_no_base_symbol":"≇⪴(∡($1330$⨼⩣$4429$∙⊟($1357$⫌⩉⩟$3474$)))","expression":"≇⪴(∡(≴∭⊉3610⨼⩣≴∭⊉15625∙⊟(≴∭⊉3646⫌⩉⩟≴∭⊉13062)))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":18734,"operation_count":5,"complexity_ratio":3746.8,"tree":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":1330,"base":7},"right_expr":{"type":"numeric_atoms","value":4429,"base":7}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":1357,"base":7},"right_expr":{"type":"numeric_atoms","value":3474,"base":7}}}}},"used_operators":["zoVPnxeHJ3","pRsWfj4Fpp","SxTAKzQCrw","JxwMv5le6e","XIIwhv8d0m"],"dependent_operators":["7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1330","layer":4},{"info":"number node, value=4429","layer":4},{"info":"compute binary expreesion, left_input=1330, right_input=4429, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"number node, value=1357","layer":4},{"info":"number node, value=3474","layer":4},{"info":"compute binary expreesion, left_input=1357, right_input=3474, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-50, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"≇⪴(∡(≴∭⊉3610⨼⩣≴∭⊉15625∙⊟(≴∭⊉3646⫌⩉⩟≴∭⊉13062)))=NaN","reverse_text":"NaN=≇⪴(∡(≴∭⊉3610⨼⩣≴∭⊉15625∙⊟(≴∭⊉3646⫌⩉⩟≴∭⊉13062)))","cot":[{"info":"≴∭⊉3610⨼⩣≴∭⊉15625=NaN","layer":3},{"info":"≴∭⊉3646⫌⩉⩟≴∭⊉13062=≴∭⊉-101","layer":3},{"info":"NaN∙⊟≴∭⊉-101=NaN","layer":2},{"info":"∡NaN=NaN","layer":1},{"info":"≇⪴NaN=NaN","layer":0}]}
+{"id":707,"expression_no_base_symbol":"(((⨮↦↱$3616$)⋅⇍(⪲⇎$1067$))⊝⪿⪼($5243$⪮%⊝$3395$↙$3764$⪨⊡$1057$))⨘","expression":"(((⨮↦↱≴∭⊉13354)⋅⇍(⪲⇎≴∭⊉3053))⊝⪿⪼(≴∭⊉21200⪮%⊝≴∭⊉12620↙≴∭⊉13655⪨⊡≴∭⊉3040))⨘","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":12795,"operation_count":8,"complexity_ratio":1599.375,"tree":{"type":"unary","operator":"⨘","unary_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"numeric_atoms","value":3616,"base":7}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1067,"base":7}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":5243,"base":7},"right_expr":{"type":"numeric_atoms","value":3395,"base":7}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":3764,"base":7},"right_expr":{"type":"numeric_atoms","value":1057,"base":7}}}}},"used_operators":["ljcfZBUpm8","3Oe9XWJUTD","AdZkA7nFnk","sYcpBQ0cFf","XPYlsWDdGa","yyfyN0ffXY","IWmyXbctLI","kuIXHzHcAH"],"dependent_operators":["40aOVDgCDB","JL8yIekQnl","ocnLzx9CaJ","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP"],"result":"≴∭⊉-401215","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3616","layer":4},{"info":"compute unary expreesion, input=3616, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-29276874","layer":3},{"info":"number node, value=1067","layer":4},{"info":"compute unary expreesion, input=1067, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2134","layer":3},{"info":"compute binary expreesion, left_input=-29276874, right_input=2134, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":2},{"info":"number node, value=5243","layer":4},{"info":"number node, value=3395","layer":4},{"info":"compute binary expreesion, left_input=5243, right_input=3395, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=10802","layer":3},{"info":"number node, value=3764","layer":4},{"info":"number node, value=1057","layer":4},{"info":"compute binary expreesion, left_input=3764, right_input=1057, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=10802, right_input=0, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-22, right_input=0, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=9558","layer":1},{"info":"compute unary expreesion, input=9558, op_id = ljcfZBUpm8, unary_op_definition = 'a⨘ = { ((4⊢)⩼⇪↪(a⋫)) }', output=-67681","layer":0}],"base":7,"result_base":7,"text":"(((⨮↦↱≴∭⊉13354)⋅⇍(⪲⇎≴∭⊉3053))⊝⪿⪼(≴∭⊉21200⪮%⊝≴∭⊉12620↙≴∭⊉13655⪨⊡≴∭⊉3040))⨘=≴∭⊉-401215","reverse_text":"≴∭⊉-401215=(((⨮↦↱≴∭⊉13354)⋅⇍(⪲⇎≴∭⊉3053))⊝⪿⪼(≴∭⊉21200⪮%⊝≴∭⊉12620↙≴∭⊉13655⪨⊡≴∭⊉3040))⨘","cot":[{"info":"⨮↦↱≴∭⊉13354=≴∭⊉-503564214","layer":3},{"info":"⪲⇎≴∭⊉3053=≴∭⊉6136","layer":3},{"info":"≴∭⊉-503564214⋅⇍≴∭⊉6136=≴∭⊉-31","layer":2},{"info":"≴∭⊉21200⪮%⊝≴∭⊉12620=≴∭⊉43331","layer":3},{"info":"≴∭⊉13655⪨⊡≴∭⊉3040=≴∭⊉0","layer":3},{"info":"≴∭⊉43331↙≴∭⊉0=≴∭⊉0","layer":2},{"info":"≴∭⊉-31⊝⪿⪼≴∭⊉0=≴∭⊉36603","layer":1},{"info":"≴∭⊉36603⨘=≴∭⊉-401215","layer":0}]}
+{"id":708,"expression_no_base_symbol":"(($3428$≴⪞⇿$2217$⫡⨏$4063$⩌⋺$2226$)↯⫤)∲⫓(↯⪼$1934$)≴⪞⇿$2768$⇂≾⫗$2941$⫁⪎(∤↝$1183$)↤⩊($1383$⪶≀⋏$3191$)","expression":"((≴∭⊉12665≴⪞⇿≴∭⊉6315⫡⨏≴∭⊉14563⩌⋺≴∭⊉6330)↯⫤)∲⫓(↯⪼≴∭⊉5432)≴⪞⇿≴∭⊉11033⇂≾⫗≴∭⊉11401⫁⪎(∤↝≴∭⊉3310)↤⩊(≴∭⊉4014⪶≀⋏≴∭⊉12206)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3547,"operation_count":12,"complexity_ratio":295.5833333333333,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"↯⫤","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":3428,"base":7},"right_expr":{"type":"numeric_atoms","value":2217,"base":7}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":4063,"base":7},"right_expr":{"type":"numeric_atoms","value":2226,"base":7}}}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1934,"base":7}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":2768,"base":7},"right_expr":{"type":"numeric_atoms","value":2941,"base":7}}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"numeric_atoms","value":1183,"base":7}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":1383,"base":7},"right_expr":{"type":"numeric_atoms","value":3191,"base":7}}}}},"used_operators":["i8ToyICDmI","VwlE7vj6HS","QMFrweE19q","lvlrscuwVU","g7Hmc5v1ko","xRrnTEsQ6j","8jW3W4yZS5","aBQ6xLxuTc","13rbtpv6ld","3UMq87Qwqg","zR4jO40bMj"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","23Mk6UjR3U","tifHPKVTfV","glklzrTFfD","eH2TOUuTDT","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","g55IO6H4Gj","nCS4ZIUYfx","W4YGzv6Whe","t8gj7n24qd","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3428","layer":4},{"info":"number node, value=2217","layer":4},{"info":"compute binary expreesion, left_input=3428, right_input=2217, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=19908284","layer":3},{"info":"number node, value=4063","layer":4},{"info":"number node, value=2226","layer":4},{"info":"compute binary expreesion, left_input=4063, right_input=2226, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-6410","layer":3},{"info":"compute binary expreesion, left_input=19908284, right_input=-6410, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=99529383","layer":2},{"info":"compute unary expreesion, input=99529383, op_id = VwlE7vj6HS, unary_op_definition = 'a↯⫤ = { (((-a)⋝⋈⪟(a⨳⩥⨓a))⨸⪁((a⨁⊸⫻)⇼⇔∾(a+a))) , if (a⋷221)!=277 ; (((300⪐)⨁⊸⫻)⇼⇔∾(a≧⫂∧(26≧⫂∧87))) , else }', output=0","layer":1},{"info":"number node, value=1934","layer":4},{"info":"compute unary expreesion, input=1934, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"number node, value=2768","layer":4},{"info":"number node, value=2941","layer":4},{"info":"compute binary expreesion, left_input=2768, right_input=2941, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=-676, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=-12567","layer":2},{"info":"number node, value=1183","layer":4},{"info":"compute unary expreesion, input=1183, op_id = 3UMq87Qwqg, unary_op_definition = '∤↝a = { a , if ((a⊬⨰244)<=56 or (⫇a)>308 or (a⨐673)<=60) ; (((↩⪖a)⩼⇪↪(57∝206))↺(↩(⊲⪭a))) , else }', output=1183","layer":3},{"info":"number node, value=1383","layer":4},{"info":"number node, value=3191","layer":4},{"info":"compute binary expreesion, left_input=1383, right_input=3191, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-10763","layer":3},{"info":"compute binary expreesion, left_input=1183, right_input=-10763, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-12567, right_input=nan, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉12665≴⪞⇿≴∭⊉6315⫡⨏≴∭⊉14563⩌⋺≴∭⊉6330)↯⫤)∲⫓(↯⪼≴∭⊉5432)≴⪞⇿≴∭⊉11033⇂≾⫗≴∭⊉11401⫁⪎(∤↝≴∭⊉3310)↤⩊(≴∭⊉4014⪶≀⋏≴∭⊉12206)=NaN","reverse_text":"NaN=((≴∭⊉12665≴⪞⇿≴∭⊉6315⫡⨏≴∭⊉14563⩌⋺≴∭⊉6330)↯⫤)∲⫓(↯⪼≴∭⊉5432)≴⪞⇿≴∭⊉11033⇂≾⫗≴∭⊉11401⫁⪎(∤↝≴∭⊉3310)↤⩊(≴∭⊉4014⪶≀⋏≴∭⊉12206)","cot":[{"info":"≴∭⊉12665≴⪞⇿≴∭⊉6315=≴∭⊉331134434","layer":3},{"info":"≴∭⊉14563⩌⋺≴∭⊉6330=≴∭⊉-24455","layer":3},{"info":"≴∭⊉331134434⫡⨏≴∭⊉-24455=≴∭⊉2315662062","layer":2},{"info":"≴∭⊉2315662062↯⫤=≴∭⊉0","layer":1},{"info":"↯⪼≴∭⊉5432=≴∭⊉-30","layer":3},{"info":"≴∭⊉11033⇂≾⫗≴∭⊉11401=≴∭⊉-1654","layer":3},{"info":"≴∭⊉-30≴⪞⇿≴∭⊉-1654=≴∭⊉-51432","layer":2},{"info":"∤↝≴∭⊉3310=≴∭⊉3310","layer":3},{"info":"≴∭⊉4014⪶≀⋏≴∭⊉12206=≴∭⊉-43244","layer":3},{"info":"≴∭⊉3310↤⩊≴∭⊉-43244=NaN","layer":2},{"info":"≴∭⊉-51432⫁⪎NaN=NaN","layer":1},{"info":"≴∭⊉0∲⫓NaN=NaN","layer":0}]}
+{"id":709,"expression_no_base_symbol":"⨝⨆(($3184$⫳≱↱$6226$)≎⊠⪸($1877$⋭≵$1967$))⨔⇊($4425$↬$4317$⫢⨠$6322$⊬⨰$5821$)","expression":"⨝⨆((≴∭⊉12166⫳≱↱≴∭⊉24103)≎⊠⪸(≴∭⊉5321⋭≵≴∭⊉5510))⨔⇊(≴∭⊉15621↬≴∭⊉15405⫢⨠≴∭⊉24301⊬⨰≴∭⊉22654)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":652,"operation_count":8,"complexity_ratio":81.5,"tree":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":3184,"base":7},"right_expr":{"type":"numeric_atoms","value":6226,"base":7}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":1877,"base":7},"right_expr":{"type":"numeric_atoms","value":1967,"base":7}}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":4425,"base":7},"right_expr":{"type":"numeric_atoms","value":4317,"base":7}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":6322,"base":7},"right_expr":{"type":"numeric_atoms","value":5821,"base":7}}}}},"used_operators":["bQ67fsrMVf","JclMnS0uGI","bJkvcejdHO","ZvLB05nZmT","jBncVCNhdl","xlXykHWxX1","B5M0gjZbta","s3Fd5m9Dh2"],"dependent_operators":["tifHPKVTfV","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","rGHVDoGpnC","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3184","layer":4},{"info":"number node, value=6226","layer":4},{"info":"compute binary expreesion, left_input=3184, right_input=6226, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"number node, value=1877","layer":4},{"info":"number node, value=1967","layer":4},{"info":"compute binary expreesion, left_input=1877, right_input=1967, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=-204, right_input=67, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=52836","layer":2},{"info":"number node, value=4425","layer":4},{"info":"number node, value=4317","layer":4},{"info":"compute binary expreesion, left_input=4425, right_input=4317, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=6322","layer":4},{"info":"number node, value=5821","layer":4},{"info":"compute binary expreesion, left_input=6322, right_input=5821, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=28550","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=28550, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=52836, right_input=nan, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"⨝⨆((≴∭⊉12166⫳≱↱≴∭⊉24103)≎⊠⪸(≴∭⊉5321⋭≵≴∭⊉5510))⨔⇊(≴∭⊉15621↬≴∭⊉15405⫢⨠≴∭⊉24301⊬⨰≴∭⊉22654)=NaN","reverse_text":"NaN=⨝⨆((≴∭⊉12166⫳≱↱≴∭⊉24103)≎⊠⪸(≴∭⊉5321⋭≵≴∭⊉5510))⨔⇊(≴∭⊉15621↬≴∭⊉15405⫢⨠≴∭⊉24301⊬⨰≴∭⊉22654)","cot":[{"info":"≴∭⊉12166⫳≱↱≴∭⊉24103=≴∭⊉-411","layer":3},{"info":"≴∭⊉5321⋭≵≴∭⊉5510=≴∭⊉124","layer":3},{"info":"≴∭⊉-411≎⊠⪸≴∭⊉124=≴∭⊉310020","layer":2},{"info":"≴∭⊉15621↬≴∭⊉15405=NaN","layer":3},{"info":"≴∭⊉24301⊬⨰≴∭⊉22654=≴∭⊉146144","layer":3},{"info":"NaN⫢⨠≴∭⊉146144=NaN","layer":2},{"info":"≴∭⊉310020⨔⇊NaN=NaN","layer":1},{"info":"⨝⨆NaN=NaN","layer":0}]}
+{"id":710,"expression_no_base_symbol":"(($2283$⇼⇔∾$1357$)⋅⇍$7688$∊∟⩊$5474$)≄⊠($7490$↳≱$3887$⩭)-($1499$≀⫉$1206$⊅)⪕($1365$∽$5869$)⇻⋧≁$1453$⪃⊛⇣$2427$","expression":"((≴∭⊉6441⇼⇔∾≴∭⊉3646)⋅⇍≴∭⊉31262∊∟⩊≴∭⊉21650)≄⊠(≴∭⊉30560↳≱≴∭⊉14222⩭)-(≴∭⊉4241≀⫉≴∭⊉3342⊅)⪕(≴∭⊉3660∽≴∭⊉23053)⇻⋧≁≴∭⊉4144⪃⊛⇣≴∭⊉10035","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":34329,"operation_count":13,"complexity_ratio":2640.6923076923076,"tree":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2283,"base":7},"right_expr":{"type":"numeric_atoms","value":1357,"base":7}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":7688,"base":7},"right_expr":{"type":"numeric_atoms","value":5474,"base":7}}},"right_expr":{"type":"unary","operator":"⩭","unary_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":7490,"base":7},"right_expr":{"type":"numeric_atoms","value":3887,"base":7}}}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"unary","operator":"⊅","unary_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":1499,"base":7},"right_expr":{"type":"numeric_atoms","value":1206,"base":7}}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":1365,"base":7},"right_expr":{"type":"numeric_atoms","value":5869,"base":7}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":1453,"base":7},"right_expr":{"type":"numeric_atoms","value":2427,"base":7}}}}},"used_operators":["rysDP5nf3Z","vXNesLlMH1","AdZkA7nFnk","tifHPKVTfV","ddLRYrp01A","yIPP7u6H5x","JwTKLfZU96","umQnsF7QlU","7p6YLioM7f","oZj3VtZNQx","jCPkEVoL5K","y4ImoPnbV5","rrgAzCduG9"],"dependent_operators":["d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","rysDP5nf3Z","t8gj7n24qd","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","nOKPl9n5zu","SUmda5xLS4","9HNa5Wba9A","fu6greOZ01","3tVxb0NHM4","GjBEYRfMaF","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","SUmda5xLS4","vg4gO5BX6G","HrjLwUk87U","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","NTOWxs364D","QMFrweE19q","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA"],"result":"≴∭⊉1435","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2283","layer":4},{"info":"number node, value=1357","layer":4},{"info":"compute binary expreesion, left_input=2283, right_input=1357, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-926","layer":3},{"info":"number node, value=7688","layer":4},{"info":"number node, value=5474","layer":4},{"info":"compute binary expreesion, left_input=7688, right_input=5474, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=5474","layer":3},{"info":"compute binary expreesion, left_input=-926, right_input=5474, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":2},{"info":"number node, value=7490","layer":4},{"info":"number node, value=3887","layer":4},{"info":"compute binary expreesion, left_input=7490, right_input=3887, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = yIPP7u6H5x, unary_op_definition = 'a⩭ = { (((a⨐⩸⫘a)⪎↠(696*a))⪔(224⪄(⋗⩴⪓a))) }', output=450","layer":2},{"info":"compute binary expreesion, left_input=-22, right_input=450, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":1},{"info":"number node, value=1499","layer":4},{"info":"number node, value=1206","layer":4},{"info":"compute binary expreesion, left_input=1499, right_input=1206, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"compute unary expreesion, input=2822, op_id = 7p6YLioM7f, unary_op_definition = 'a⊅ = { ((a⪄a)⊨(517⪚a)) }', output=-174","layer":2},{"info":"number node, value=1365","layer":4},{"info":"number node, value=5869","layer":4},{"info":"compute binary expreesion, left_input=1365, right_input=5869, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-24254","layer":3},{"info":"number node, value=1453","layer":4},{"info":"number node, value=2427","layer":4},{"info":"compute binary expreesion, left_input=1453, right_input=2427, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=-24254, right_input=1234, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-221663","layer":2},{"info":"compute binary expreesion, left_input=-174, right_input=-221663, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=935","layer":1},{"info":"compute binary expreesion, left_input=1500, right_input=935, op_id = rysDP5nf3Z binary_op_definition= 'None', output=565","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉6441⇼⇔∾≴∭⊉3646)⋅⇍≴∭⊉31262∊∟⩊≴∭⊉21650)≄⊠(≴∭⊉30560↳≱≴∭⊉14222⩭)-(≴∭⊉4241≀⫉≴∭⊉3342⊅)⪕(≴∭⊉3660∽≴∭⊉23053)⇻⋧≁≴∭⊉4144⪃⊛⇣≴∭⊉10035=≴∭⊉1435","reverse_text":"≴∭⊉1435=((≴∭⊉6441⇼⇔∾≴∭⊉3646)⋅⇍≴∭⊉31262∊∟⩊≴∭⊉21650)≄⊠(≴∭⊉30560↳≱≴∭⊉14222⩭)-(≴∭⊉4241≀⫉≴∭⊉3342⊅)⪕(≴∭⊉3660∽≴∭⊉23053)⇻⋧≁≴∭⊉4144⪃⊛⇣≴∭⊉10035","cot":[{"info":"≴∭⊉6441⇼⇔∾≴∭⊉3646=≴∭⊉-2462","layer":3},{"info":"≴∭⊉31262∊∟⩊≴∭⊉21650=≴∭⊉21650","layer":3},{"info":"≴∭⊉-2462⋅⇍≴∭⊉21650=≴∭⊉-31","layer":2},{"info":"≴∭⊉30560↳≱≴∭⊉14222=≴∭⊉0","layer":3},{"info":"≴∭⊉0⩭=≴∭⊉1212","layer":2},{"info":"≴∭⊉-31≄⊠≴∭⊉1212=≴∭⊉4242","layer":1},{"info":"≴∭⊉4241≀⫉≴∭⊉3342=≴∭⊉11141","layer":3},{"info":"≴∭⊉11141⊅=≴∭⊉-336","layer":2},{"info":"≴∭⊉3660∽≴∭⊉23053=≴∭⊉-130466","layer":3},{"info":"≴∭⊉4144⪃⊛⇣≴∭⊉10035=≴∭⊉3412","layer":3},{"info":"≴∭⊉-130466⇻⋧≁≴∭⊉3412=≴∭⊉-1612151","layer":2},{"info":"≴∭⊉-336⪕≴∭⊉-1612151=≴∭⊉2504","layer":1},{"info":"≴∭⊉4242-≴∭⊉2504=≴∭⊉1435","layer":0}]}
+{"id":711,"expression_no_base_symbol":"(⋗⩴⪓(($2052$⊭↱$5124$)⊿∆))⫞⩸⩒((⨆≐≲$1174$)⋳⪒(⊀$2929$)⫥∨⫟$6704$⪬$1141$⊹∫⫚($1149$⨴∎))","expression":"(⋗⩴⪓((≴∭⊉5661⊭↱≴∭⊉20640)⊿∆))⫞⩸⩒((⨆≐≲≴∭⊉3265)⋳⪒(⊀≴∭⊉11353)⫥∨⫟≴∭⊉25355⪬≴∭⊉3220⊹∫⫚(≴∭⊉3231⨴∎))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2101,"operation_count":11,"complexity_ratio":191.0,"tree":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"unary","operator":"⊿∆","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2052,"base":7},"right_expr":{"type":"numeric_atoms","value":5124,"base":7}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"numeric_atoms","value":1174,"base":7}},"right_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"numeric_atoms","value":2929,"base":7}}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":6704,"base":7},"right_expr":{"type":"numeric_atoms","value":1141,"base":7}},"right_expr":{"type":"unary","operator":"⨴∎","unary_expr":{"type":"numeric_atoms","value":1149,"base":7}}}}},"used_operators":["XGcMNugi78","nOKPl9n5zu","fv3ZujxkQL","COABgblf1C","KYD54nUTWz","12rbrZMWeM","Bi9z9uYZqW","oPMjh9089D","uWAJUKEvyW","Ez1Nq5fNfI","CpSg5vQTgA"],"dependent_operators":["VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","Q3PJZHRvZv","s1XTVnmDOJ","VEQNXA0ZBg"],"result":"≴∭⊉305316","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2052","layer":4},{"info":"number node, value=5124","layer":4},{"info":"compute binary expreesion, left_input=2052, right_input=5124, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=6149","layer":3},{"info":"compute unary expreesion, input=6149, op_id = fv3ZujxkQL, unary_op_definition = 'a⊿∆ = { (a⩚⊴⇥a) }', output=-12419","layer":2},{"info":"compute unary expreesion, input=-12419, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=52296","layer":1},{"info":"number node, value=1174","layer":4},{"info":"compute unary expreesion, input=1174, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=12514776","layer":3},{"info":"number node, value=2929","layer":4},{"info":"compute unary expreesion, input=2929, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=11454","layer":3},{"info":"compute binary expreesion, left_input=12514776, right_input=11454, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=25017811","layer":2},{"info":"number node, value=6704","layer":4},{"info":"number node, value=1141","layer":4},{"info":"compute binary expreesion, left_input=6704, right_input=1141, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"number node, value=1149","layer":4},{"info":"compute unary expreesion, input=1149, op_id = CpSg5vQTgA, unary_op_definition = 'a⨴∎ = { (⊥a) , if (a≓∲156)<=233 or (a⪗)>744 ; a , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=nan, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=25017811, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=52296, right_input=nan, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=52296","layer":0}],"base":7,"result_base":7,"text":"(⋗⩴⪓((≴∭⊉5661⊭↱≴∭⊉20640)⊿∆))⫞⩸⩒((⨆≐≲≴∭⊉3265)⋳⪒(⊀≴∭⊉11353)⫥∨⫟≴∭⊉25355⪬≴∭⊉3220⊹∫⫚(≴∭⊉3231⨴∎))=≴∭⊉305316","reverse_text":"≴∭⊉305316=(⋗⩴⪓((≴∭⊉5661⊭↱≴∭⊉20640)⊿∆))⫞⩸⩒((⨆≐≲≴∭⊉3265)⋳⪒(⊀≴∭⊉11353)⫥∨⫟≴∭⊉25355⪬≴∭⊉3220⊹∫⫚(≴∭⊉3231⨴∎))","cot":[{"info":"≴∭⊉5661⊭↱≴∭⊉20640=≴∭⊉23633","layer":3},{"info":"≴∭⊉23633⊿∆=≴∭⊉-51131","layer":2},{"info":"⋗⩴⪓≴∭⊉-51131=≴∭⊉305316","layer":1},{"info":"⨆≐≲≴∭⊉3265=≴∭⊉211242141","layer":3},{"info":"⊀≴∭⊉11353=≴∭⊉45252","layer":3},{"info":"≴∭⊉211242141⋳⪒≴∭⊉45252=≴∭⊉422435140","layer":2},{"info":"≴∭⊉25355⪬≴∭⊉3220=≴∭⊉3412","layer":3},{"info":"≴∭⊉3231⨴∎=NaN","layer":3},{"info":"≴∭⊉3412⊹∫⫚NaN=NaN","layer":2},{"info":"≴∭⊉422435140⫥∨⫟NaN=NaN","layer":1},{"info":"≴∭⊉305316⫞⩸⩒NaN=≴∭⊉305316","layer":0}]}
+{"id":712,"expression_no_base_symbol":"((⨮↦↱$1797$)↯⫤)⋅⇍((⋃$4699$)∽(↣≠⋷$7866$))⇮⋭($2286$≦↸$8738$⨳⩥⨓$2811$⩁⩘$5838$)⨼⩣(($4955$∠↢$1763$)⨐⩸⫘($2491$↓⨍⋜))","expression":"((⨮↦↱≴∭⊉5145)↯⫤)⋅⇍((⋃≴∭⊉16462)∽(↣≠⋷≴∭⊉31635))⇮⋭(≴∭⊉6444≦↸≴∭⊉34322⨳⩥⨓≴∭⊉11124⩁⩘≴∭⊉23010)⨼⩣((≴∭⊉20306∠↢≴∭⊉5066)⨐⩸⫘(≴∭⊉10156↓⨍⋜))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2252,"operation_count":14,"complexity_ratio":160.85714285714286,"tree":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"unary","operator":"↯⫤","unary_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"numeric_atoms","value":1797,"base":7}}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"numeric_atoms","value":4699,"base":7}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":7866,"base":7}}}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":2286,"base":7},"right_expr":{"type":"numeric_atoms","value":8738,"base":7}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":2811,"base":7},"right_expr":{"type":"numeric_atoms","value":5838,"base":7}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":4955,"base":7},"right_expr":{"type":"numeric_atoms","value":1763,"base":7}},"right_expr":{"type":"unary","operator":"↓⨍⋜","unary_expr":{"type":"numeric_atoms","value":2491,"base":7}}}}},"used_operators":["vkpjKywKVM","AdZkA7nFnk","VwlE7vj6HS","sYcpBQ0cFf","y4ImoPnbV5","3mBM5G4a3l","Asc51vEJeQ","JxwMv5le6e","nCS4ZIUYfx","RygbFNSyEJ","gub5Cegaqo","fu6greOZ01","KbjG8mgYpV","3DVzLFNsE9"],"dependent_operators":["nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","W4YGzv6Whe","23Mk6UjR3U","tifHPKVTfV","glklzrTFfD","eH2TOUuTDT","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","g55IO6H4Gj","nCS4ZIUYfx","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","NTOWxs364D","QMFrweE19q","g55IO6H4Gj","XhwjNDsVaA","AHs5Up7iyr","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","W4YGzv6Whe","rysDP5nf3Z","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","DpFCA1CohY","IWmyXbctLI","3ViojmjbAp","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","OKKcZfAt5B","zR4jO40bMj","XnXgA4xnOs","o20kRiQErp","7t3wd0Fuz7","Z5m6OM72h2"],"result":"≴∭⊉124","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1797","layer":4},{"info":"compute unary expreesion, input=1797, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-5096907","layer":3},{"info":"compute unary expreesion, input=-5096907, op_id = VwlE7vj6HS, unary_op_definition = 'a↯⫤ = { (((-a)⋝⋈⪟(a⨳⩥⨓a))⨸⪁((a⨁⊸⫻)⇼⇔∾(a+a))) , if (a⋷221)!=277 ; (((300⪐)⨁⊸⫻)⇼⇔∾(a≧⫂∧(26≧⫂∧87))) , else }', output=10193814","layer":2},{"info":"number node, value=4699","layer":4},{"info":"compute unary expreesion, input=4699, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=9500","layer":3},{"info":"number node, value=7866","layer":4},{"info":"compute unary expreesion, input=7866, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=9500, right_input=nan, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=10193814, right_input=nan, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-10194387","layer":1},{"info":"number node, value=2286","layer":4},{"info":"number node, value=8738","layer":4},{"info":"compute binary expreesion, left_input=2286, right_input=8738, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-21367","layer":3},{"info":"number node, value=2811","layer":4},{"info":"number node, value=5838","layer":4},{"info":"compute binary expreesion, left_input=2811, right_input=5838, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=24300","layer":3},{"info":"compute binary expreesion, left_input=-21367, right_input=24300, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=45667","layer":2},{"info":"number node, value=4955","layer":4},{"info":"number node, value=1763","layer":4},{"info":"compute binary expreesion, left_input=4955, right_input=1763, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-43420","layer":3},{"info":"number node, value=2491","layer":4},{"info":"compute unary expreesion, input=2491, op_id = 3DVzLFNsE9, unary_op_definition = 'a↓⨍⋜ = { (((a≝⊿a)⪶≀⋏(a∸))⨑≵⋬((a⋥⋵⩄a)∘(a⪶≀⋏a))) }', output=6590","layer":3},{"info":"compute binary expreesion, left_input=-43420, right_input=6590, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=45667, right_input=nan, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-10194387, right_input=nan, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":0}],"base":7,"result_base":7,"text":"((⨮↦↱≴∭⊉5145)↯⫤)⋅⇍((⋃≴∭⊉16462)∽(↣≠⋷≴∭⊉31635))⇮⋭(≴∭⊉6444≦↸≴∭⊉34322⨳⩥⨓≴∭⊉11124⩁⩘≴∭⊉23010)⨼⩣((≴∭⊉20306∠↢≴∭⊉5066)⨐⩸⫘(≴∭⊉10156↓⨍⋜))=≴∭⊉124","reverse_text":"≴∭⊉124=((⨮↦↱≴∭⊉5145)↯⫤)⋅⇍((⋃≴∭⊉16462)∽(↣≠⋷≴∭⊉31635))⇮⋭(≴∭⊉6444≦↸≴∭⊉34322⨳⩥⨓≴∭⊉11124⩁⩘≴∭⊉23010)⨼⩣((≴∭⊉20306∠↢≴∭⊉5066)⨐⩸⫘(≴∭⊉10156↓⨍⋜))","cot":[{"info":"⨮↦↱≴∭⊉5145=≴∭⊉-61215534","layer":3},{"info":"≴∭⊉-61215534↯⫤=≴∭⊉152434401","layer":2},{"info":"⋃≴∭⊉16462=≴∭⊉36461","layer":3},{"info":"↣≠⋷≴∭⊉31635=NaN","layer":3},{"info":"≴∭⊉36461∽NaN=NaN","layer":2},{"info":"≴∭⊉152434401⋅⇍NaN=≴∭⊉-152436150","layer":1},{"info":"≴∭⊉6444≦↸≴∭⊉34322=≴∭⊉-116203","layer":3},{"info":"≴∭⊉11124⩁⩘≴∭⊉23010=≴∭⊉130563","layer":3},{"info":"≴∭⊉-116203⨳⩥⨓≴∭⊉130563=≴∭⊉250066","layer":2},{"info":"≴∭⊉20306∠↢≴∭⊉5066=≴∭⊉-240406","layer":3},{"info":"≴∭⊉10156↓⨍⋜=≴∭⊉25133","layer":3},{"info":"≴∭⊉-240406⨐⩸⫘≴∭⊉25133=NaN","layer":2},{"info":"≴∭⊉250066⨼⩣NaN=NaN","layer":1},{"info":"≴∭⊉-152436150⇮⋭NaN=≴∭⊉124","layer":0}]}
+{"id":713,"expression_no_base_symbol":"($1313$⨥⫆$3366$⫉⨲⊜$4220$⨔⇊$2198$⋭≵($2459$⪃⊛⇣$5207$)⪬($5865$≃$3147$))⫁⪎(⪫⨮⊛($3501$⇤$6765$⩹$3186$⊢$7296$))","expression":"(≴∭⊉3554⨥⫆≴∭⊉12546⫉⨲⊜≴∭⊉15206⨔⇊≴∭⊉6260⋭≵(≴∭⊉10112⪃⊛⇣≴∭⊉21116)⪬(≴∭⊉23046≃≴∭⊉12114))⫁⪎(⪫⨮⊛(≴∭⊉13131⇤≴∭⊉25503⩹≴∭⊉12201⊢≴∭⊉30162))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":135684,"operation_count":12,"complexity_ratio":11307.0,"tree":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":1313,"base":7},"right_expr":{"type":"numeric_atoms","value":3366,"base":7}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":4220,"base":7},"right_expr":{"type":"numeric_atoms","value":2198,"base":7}}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":2459,"base":7},"right_expr":{"type":"numeric_atoms","value":5207,"base":7}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":5865,"base":7},"right_expr":{"type":"numeric_atoms","value":3147,"base":7}}}},"right_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":3501,"base":7},"right_expr":{"type":"numeric_atoms","value":6765,"base":7}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":3186,"base":7},"right_expr":{"type":"numeric_atoms","value":7296,"base":7}}}}},"used_operators":["xRrnTEsQ6j","jBncVCNhdl","WhqkvtTD3t","yXekIHxTD4","JclMnS0uGI","Ez1Nq5fNfI","rrgAzCduG9","YbVcJGFEVW","w5FWba1tyO","2Wsdkap16l","YSKBFp38Pu","5twsqlHp2o"],"dependent_operators":["P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","eewbuw0ToL","zVYPLywUTj","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1313","layer":4},{"info":"number node, value=3366","layer":4},{"info":"compute binary expreesion, left_input=1313, right_input=3366, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=6608","layer":3},{"info":"number node, value=4220","layer":4},{"info":"number node, value=2198","layer":4},{"info":"compute binary expreesion, left_input=4220, right_input=2198, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=2198","layer":3},{"info":"compute binary expreesion, left_input=6608, right_input=2198, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":2},{"info":"number node, value=2459","layer":4},{"info":"number node, value=5207","layer":4},{"info":"compute binary expreesion, left_input=2459, right_input=5207, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"number node, value=5865","layer":4},{"info":"number node, value=3147","layer":4},{"info":"compute binary expreesion, left_input=5865, right_input=3147, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-23500","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=-23500, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=1234, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=34","layer":1},{"info":"number node, value=3501","layer":4},{"info":"number node, value=6765","layer":4},{"info":"compute binary expreesion, left_input=3501, right_input=6765, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-48482","layer":3},{"info":"number node, value=3186","layer":4},{"info":"number node, value=7296","layer":4},{"info":"compute binary expreesion, left_input=3186, right_input=7296, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-6616","layer":3},{"info":"compute binary expreesion, left_input=-48482, right_input=-6616, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=-6618","layer":2},{"info":"compute unary expreesion, input=-6618, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=34, right_input=nan, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉3554⨥⫆≴∭⊉12546⫉⨲⊜≴∭⊉15206⨔⇊≴∭⊉6260⋭≵(≴∭⊉10112⪃⊛⇣≴∭⊉21116)⪬(≴∭⊉23046≃≴∭⊉12114))⫁⪎(⪫⨮⊛(≴∭⊉13131⇤≴∭⊉25503⩹≴∭⊉12201⊢≴∭⊉30162))=NaN","reverse_text":"NaN=(≴∭⊉3554⨥⫆≴∭⊉12546⫉⨲⊜≴∭⊉15206⨔⇊≴∭⊉6260⋭≵(≴∭⊉10112⪃⊛⇣≴∭⊉21116)⪬(≴∭⊉23046≃≴∭⊉12114))⫁⪎(⪫⨮⊛(≴∭⊉13131⇤≴∭⊉25503⩹≴∭⊉12201⊢≴∭⊉30162))","cot":[{"info":"≴∭⊉3554⨥⫆≴∭⊉12546=≴∭⊉25160","layer":3},{"info":"≴∭⊉15206⨔⇊≴∭⊉6260=≴∭⊉6260","layer":3},{"info":"≴∭⊉25160⫉⨲⊜≴∭⊉6260=≴∭⊉0","layer":2},{"info":"≴∭⊉10112⪃⊛⇣≴∭⊉21116=≴∭⊉3412","layer":3},{"info":"≴∭⊉23046≃≴∭⊉12114=≴∭⊉-125341","layer":3},{"info":"≴∭⊉3412⪬≴∭⊉-125341=≴∭⊉3412","layer":2},{"info":"≴∭⊉0⋭≵≴∭⊉3412=≴∭⊉46","layer":1},{"info":"≴∭⊉13131⇤≴∭⊉25503=≴∭⊉-261230","layer":3},{"info":"≴∭⊉12201⊢≴∭⊉30162=≴∭⊉-25201","layer":3},{"info":"≴∭⊉-261230⩹≴∭⊉-25201=≴∭⊉-25203","layer":2},{"info":"⪫⨮⊛≴∭⊉-25203=NaN","layer":1},{"info":"≴∭⊉46⫁⪎NaN=NaN","layer":0}]}
+{"id":714,"expression_no_base_symbol":"((⊲⪭($1475$⫸⇳$5019$))+⇶⊼(⨦⪝$2135$)⨿($3991$⩒⫫$2478$))⨽∌(($3245$⨪↰⇹$1945$)↤⩊(≑⋹$2813$)∼($3439$⩇∃⫛$7633$⇮⋭$4443$⨑⩅≇$1685$))","expression":"((⊲⪭(≴∭⊉4205⫸⇳≴∭⊉20430))+⇶⊼(⨦⪝≴∭⊉6140)⨿(≴∭⊉14431⩒⫫≴∭⊉10140))⨽∌((≴∭⊉12314⨪↰⇹≴∭⊉5446)↤⩊(≑⋹≴∭⊉11126)∼(≴∭⊉13012⩇∃⫛≴∭⊉31153⇮⋭≴∭⊉15645⨑⩅≇≴∭⊉4625))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":16376,"operation_count":14,"complexity_ratio":1169.7142857142858,"tree":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":1475,"base":7},"right_expr":{"type":"numeric_atoms","value":5019,"base":7}}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"numeric_atoms","value":2135,"base":7}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":3991,"base":7},"right_expr":{"type":"numeric_atoms","value":2478,"base":7}}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3245,"base":7},"right_expr":{"type":"numeric_atoms","value":1945,"base":7}},"right_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"numeric_atoms","value":2813,"base":7}}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":3439,"base":7},"right_expr":{"type":"numeric_atoms","value":7633,"base":7}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":4443,"base":7},"right_expr":{"type":"numeric_atoms","value":1685,"base":7}}}}},"used_operators":["9samAPKr6k","TpPTUOHfaN","k7HXdKtiEU","gx7XJ7hdpj","abYXlopdE0","SUjycxNXIR","KFSx94NKJn","DyGG3AbaNP","13rbtpv6ld","tmPS8pqC7x","6B9nyZLogK","vkpjKywKVM","1aApVXNlOP","h92wMvzauj"],"dependent_operators":["YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","AHs5Up7iyr","i8ToyICDmI","xUOZtlo3hN","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","rJVOvQCfKK","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1475","layer":4},{"info":"number node, value=5019","layer":4},{"info":"compute binary expreesion, left_input=1475, right_input=5019, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-174","layer":2},{"info":"number node, value=2135","layer":4},{"info":"compute unary expreesion, input=2135, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":3},{"info":"number node, value=3991","layer":4},{"info":"number node, value=2478","layer":4},{"info":"compute binary expreesion, left_input=3991, right_input=2478, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=3689","layer":3},{"info":"compute binary expreesion, left_input=-1884, right_input=3689, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=67","layer":2},{"info":"compute binary expreesion, left_input=-174, right_input=67, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"number node, value=3245","layer":4},{"info":"number node, value=1945","layer":4},{"info":"compute binary expreesion, left_input=3245, right_input=1945, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=3245","layer":3},{"info":"number node, value=2813","layer":4},{"info":"compute unary expreesion, input=2813, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=1650","layer":3},{"info":"compute binary expreesion, left_input=3245, right_input=1650, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":2},{"info":"number node, value=3439","layer":4},{"info":"number node, value=7633","layer":4},{"info":"compute binary expreesion, left_input=3439, right_input=7633, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=4667","layer":3},{"info":"number node, value=4443","layer":4},{"info":"number node, value=1685","layer":4},{"info":"compute binary expreesion, left_input=4443, right_input=1685, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-13329","layer":3},{"info":"compute binary expreesion, left_input=4667, right_input=-13329, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((⊲⪭(≴∭⊉4205⫸⇳≴∭⊉20430))+⇶⊼(⨦⪝≴∭⊉6140)⨿(≴∭⊉14431⩒⫫≴∭⊉10140))⨽∌((≴∭⊉12314⨪↰⇹≴∭⊉5446)↤⩊(≑⋹≴∭⊉11126)∼(≴∭⊉13012⩇∃⫛≴∭⊉31153⇮⋭≴∭⊉15645⨑⩅≇≴∭⊉4625))=NaN","reverse_text":"NaN=((⊲⪭(≴∭⊉4205⫸⇳≴∭⊉20430))+⇶⊼(⨦⪝≴∭���6140)⨿(≴∭⊉14431⩒⫫≴∭⊉10140))⨽∌((≴∭⊉12314⨪↰⇹≴∭⊉5446)↤⩊(≑⋹≴∭⊉11126)∼(≴∭⊉13012⩇∃⫛≴∭⊉31153⇮⋭≴∭⊉15645⨑⩅≇≴∭⊉4625))","cot":[{"info":"≴∭⊉4205⫸⇳≴∭⊉20430=≴∭⊉0","layer":3},{"info":"⊲⪭≴∭⊉0=≴∭⊉-336","layer":2},{"info":"⨦⪝≴∭⊉6140=≴∭⊉-5331","layer":3},{"info":"≴∭⊉14431⩒⫫≴∭⊉10140=≴∭⊉13520","layer":3},{"info":"≴∭⊉-5331⨿≴∭⊉13520=≴∭⊉124","layer":2},{"info":"≴∭⊉-336+⇶⊼≴∭⊉124=NaN","layer":1},{"info":"≴∭⊉12314⨪↰⇹≴∭⊉5446=≴∭⊉12314","layer":3},{"info":"≑⋹≴∭⊉11126=≴∭⊉4545","layer":3},{"info":"≴∭⊉12314↤⩊≴∭⊉4545=NaN","layer":2},{"info":"≴∭⊉13012⩇∃⫛≴∭⊉31153=≴∭⊉16415","layer":3},{"info":"≴∭⊉15645⨑⩅≇≴∭⊉4625=≴∭⊉-53601","layer":3},{"info":"≴∭⊉16415⇮⋭≴∭⊉-53601=≴∭⊉124","layer":2},{"info":"NaN∼≴∭⊉124=≴∭⊉0","layer":1},{"info":"NaN⨽∌≴∭⊉0=NaN","layer":0}]}
+{"id":715,"expression_no_base_symbol":"⨩∲⋌((⇠$1247$)∘(⫛⫱⨽$3008$)⋭≵(≸$4766$)∌↝($4995$⇄$1907$))","expression":"⨩∲⋌((⇠≴∭⊉3431)∘(⫛⫱⨽≴∭⊉11525)⋭≵(≸≴∭⊉16616)∌↝(≴∭⊉20364⇄≴∭⊉5363))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1572,"operation_count":8,"complexity_ratio":196.5,"tree":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"numeric_atoms","value":1247,"base":7}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":3008,"base":7}}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"numeric_atoms","value":4766,"base":7}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":4995,"base":7},"right_expr":{"type":"numeric_atoms","value":1907,"base":7}}}}},"used_operators":["aSik1wnThz","jBncVCNhdl","Z5m6OM72h2","18saOjeKKm","DlLNRPXxWL","9Isq31Ruls","eOf03JbCpp","3EYGwJThht"],"dependent_operators":["rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","eH2TOUuTDT","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","rGHVDoGpnC","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI"],"result":"≴∭⊉613","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1247","layer":4},{"info":"compute unary expreesion, input=1247, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-1005","layer":3},{"info":"number node, value=3008","layer":4},{"info":"compute unary expreesion, input=3008, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-1005, right_input=0, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=1385","layer":2},{"info":"number node, value=4766","layer":4},{"info":"compute unary expreesion, input=4766, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=58","layer":3},{"info":"number node, value=4995","layer":4},{"info":"number node, value=1907","layer":4},{"info":"compute binary expreesion, left_input=4995, right_input=1907, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=58, right_input=0, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=1385, right_input=0, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":1},{"info":"compute unary expreesion, input=67, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=304","layer":0}],"base":7,"result_base":7,"text":"⨩∲⋌((⇠≴∭⊉3431)∘(⫛⫱⨽≴∭⊉11525)⋭≵(≸≴∭⊉16616)∌↝(≴∭⊉20364⇄≴∭⊉5363))=≴∭⊉613","reverse_text":"≴∭⊉613=⨩∲⋌((⇠≴∭⊉3431)∘(⫛⫱⨽≴∭⊉11525)⋭≵(≸≴∭⊉16616)∌↝(≴∭⊉20364⇄≴∭⊉5363))","cot":[{"info":"⇠≴∭��3431=≴∭⊉-2634","layer":3},{"info":"⫛⫱⨽≴∭⊉11525=≴∭⊉0","layer":3},{"info":"≴∭⊉-2634∘≴∭⊉0=≴∭⊉4016","layer":2},{"info":"≸≴∭⊉16616=≴∭⊉112","layer":3},{"info":"≴∭⊉20364⇄≴∭⊉5363=≴∭⊉0","layer":3},{"info":"≴∭⊉112∌↝≴∭⊉0=≴∭⊉0","layer":2},{"info":"≴∭⊉4016⋭≵≴∭⊉0=≴∭⊉124","layer":1},{"info":"⨩∲⋌≴∭⊉124=≴∭⊉613","layer":0}]}
+{"id":716,"expression_no_base_symbol":"($4373$⊱⇼⊻$1153$≒∊(≅≯⇸$1363$)≬⇓($1037$≧⫂∧$1334$∷$1909$≃$1703$))⋥⋵⩄(⩪∧⨌($2048$∋$1662$)⋕⪉⪜($1832$⇔⨋))","expression":"(≴∭⊉15515⊱⇼⊻≴∭⊉3235≒∊(≅≯⇸≴∭⊉3655)≬⇓(≴∭⊉3011≧⫂∧≴∭⊉3614∷≴∭⊉5365≃≴∭⊉4652))⋥⋵⩄(⩪∧⨌(≴∭⊉5654∋≴∭⊉4563)⋕⪉⪜(≴∭⊉5225⇔⨋))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":342,"operation_count":12,"complexity_ratio":28.5,"tree":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":4373,"base":7},"right_expr":{"type":"numeric_atoms","value":1153,"base":7}},"right_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"numeric_atoms","value":1363,"base":7}}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1037,"base":7},"right_expr":{"type":"numeric_atoms","value":1334,"base":7}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":1909,"base":7},"right_expr":{"type":"numeric_atoms","value":1703,"base":7}}}},"right_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":2048,"base":7},"right_expr":{"type":"numeric_atoms","value":1662,"base":7}},"right_expr":{"type":"unary","operator":"⇔⨋","unary_expr":{"type":"numeric_atoms","value":1832,"base":7}}}}},"used_operators":["7t3wd0Fuz7","jWTQ2TZYIH","5KTvxBwnZo","FyVja0WsTP","apS25hmuAe","D3AQDKkPcf","Ph9nP6C5qx","YbVcJGFEVW","6iOiAJX1F8","z6LnFrNh4i","ukq6epAj5P","uBihLCJcMX"],"dependent_operators":["IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","EBcxylXtPf","QMFrweE19q","9FxExcQeMw","NTOWxs364D","7j4O788W3g","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","N41Kp7NANJ","7j4O788W3g","glklzrTFfD","tifHPKVTfV","12rbrZMWeM","f6k1SAg4EE","D4vGDi5EA2","nCS4ZIUYfx","QMFrweE19q"],"result":"≴∭⊉221","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4373","layer":4},{"info":"number node, value=1153","layer":4},{"info":"compute binary expreesion, left_input=4373, right_input=1153, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"number node, value=1363","layer":4},{"info":"compute unary expreesion, input=1363, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=13129","layer":3},{"info":"compute binary expreesion, left_input=434, right_input=13129, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=50","layer":2},{"info":"number node, value=1037","layer":4},{"info":"number node, value=1334","layer":4},{"info":"compute binary expreesion, left_input=1037, right_input=1334, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=861","layer":3},{"info":"number node, value=1909","layer":4},{"info":"number node, value=1703","layer":4},{"info":"compute binary expreesion, left_input=1909, right_input=1703, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-7676","layer":3},{"info":"compute binary expreesion, left_input=861, right_input=-7676, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=-1655","layer":2},{"info":"compute binary expreesion, left_input=50, right_input=-1655, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=0","layer":1},{"info":"number node, value=2048","layer":4},{"info":"number node, value=1662","layer":4},{"info":"compute binary expreesion, left_input=2048, right_input=1662, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=3496488","layer":3},{"info":"number node, value=1832","layer":4},{"info":"compute unary expreesion, input=1832, op_id = uBihLCJcMX, unary_op_definition = 'a⇔⨋ = { (((a⨁⊸⫻)⋳⪒a)⪒((a≦≮≮)⨁⊸⫻)) , if a<217 ; (((a≋⫹)⨳⩥⨓(a↺a))⋳⪒((a⨳⩥⨓a)⫡⨏(a⇼⇔∾a))) , else }', output=9922","layer":3},{"info":"compute binary expreesion, left_input=3496488, right_input=9922, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":2},{"info":"compute unary expreesion, input=2802, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=28020","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=28020, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉15515⊱⇼⊻≴∭⊉3235≒∊(≅≯⇸≴∭⊉3655)≬⇓(≴∭⊉3011≧⫂∧≴∭⊉3614∷≴∭⊉5365≃≴∭⊉4652))⋥⋵⩄(⩪∧⨌(≴∭⊉5654∋≴∭⊉4563)⋕⪉⪜(≴∭⊉5225⇔⨋))=≴∭⊉221","reverse_text":"≴∭⊉221=(≴∭⊉15515⊱⇼⊻≴∭⊉3235≒∊(≅≯⇸≴∭⊉3655)≬⇓(≴∭⊉3011≧⫂∧≴∭⊉3614∷≴∭⊉5365≃≴∭⊉4652))⋥⋵⩄(⩪∧⨌(≴∭⊉5654∋≴∭⊉4563)⋕⪉⪜(≴∭⊉5225⇔⨋))","cot":[{"info":"≴∭⊉15515⊱⇼⊻≴∭⊉3235=≴∭⊉1160","layer":3},{"info":"≅≯⇸≴∭⊉3655=≴∭⊉53164","layer":3},{"info":"≴∭⊉1160≒∊≴∭⊉53164=≴∭⊉101","layer":2},{"info":"≴∭⊉3011≧⫂∧≴∭⊉3614=≴∭⊉2340","layer":3},{"info":"≴∭⊉5365≃≴∭⊉4652=≴∭⊉-31244","layer":3},{"info":"≴∭⊉2340∷≴∭⊉-31244=≴∭⊉-4553","layer":2},{"info":"≴∭⊉101≬⇓≴∭⊉-4553=≴∭⊉0","layer":1},{"info":"≴∭⊉5654∋≴∭⊉4563=≴∭⊉41501562","layer":3},{"info":"≴∭⊉5225⇔⨋=≴∭⊉40633","layer":3},{"info":"≴∭⊉41501562⋕⪉⪜≴∭⊉40633=≴∭⊉11112","layer":2},{"info":"⩪∧⨌≴∭⊉11112=≴∭⊉144456","layer":1},{"info":"≴∭⊉0⋥⋵⩄≴∭⊉144456=≴∭⊉221","layer":0}]}
+{"id":717,"expression_no_base_symbol":"≦∁(⊖∈$3321$)⫗⊷⫓($1227$∷$5286$)⪝(($3927$⨒$7829$)≠≀$2403$∳⫺$1056$)","expression":"≦∁(⊖∈≴∭⊉12453)⫗⊷⫓(≴∭⊉3402∷≴∭⊉21261)⪝((≴∭⊉14310⨒≴∭⊉31553)≠≀≴∭⊉10002∳⫺≴∭⊉3036)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1227,"operation_count":8,"complexity_ratio":153.375,"tree":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"numeric_atoms","value":3321,"base":7}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":1227,"base":7},"right_expr":{"type":"numeric_atoms","value":5286,"base":7}}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":3927,"base":7},"right_expr":{"type":"numeric_atoms","value":7829,"base":7}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":2403,"base":7},"right_expr":{"type":"numeric_atoms","value":1056,"base":7}}}}},"used_operators":["9ICcGScMcE","wicAB68Tmb","zashukvMKz","YFxL8Sc2Zy","D3AQDKkPcf","IwW236VD4Y","y75s1iXyHd","AzXXKTstlj"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","9FxExcQeMw","NTOWxs364D","7j4O788W3g","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT"],"result":"≴∭⊉-12140","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3321","layer":4},{"info":"compute unary expreesion, input=3321, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=60826","layer":3},{"info":"number node, value=1227","layer":4},{"info":"number node, value=5286","layer":4},{"info":"compute binary expreesion, left_input=1227, right_input=5286, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=5286","layer":3},{"info":"compute binary expreesion, left_input=60826, right_input=5286, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷��(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":2},{"info":"number node, value=3927","layer":4},{"info":"number node, value=7829","layer":4},{"info":"compute binary expreesion, left_input=3927, right_input=7829, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-23190","layer":3},{"info":"number node, value=2403","layer":4},{"info":"number node, value=1056","layer":4},{"info":"compute binary expreesion, left_input=2403, right_input=1056, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":3},{"info":"compute binary expreesion, left_input=-23190, right_input=-260, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=23329","layer":2},{"info":"compute binary expreesion, left_input=-134, right_input=23329, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":1},{"info":"compute unary expreesion, input=237, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=-3164","layer":0}],"base":7,"result_base":7,"text":"≦∁(⊖∈≴∭⊉12453)⫗⊷⫓(≴∭⊉3402∷≴∭⊉21261)⪝((≴∭⊉14310⨒≴∭⊉31553)≠≀≴∭⊉10002∳⫺≴∭⊉3036)=≴∭⊉-12140","reverse_text":"≴∭⊉-12140=≦∁(⊖∈≴∭⊉12453)⫗⊷⫓(≴∭⊉3402∷≴∭⊉21261)⪝((≴∭⊉14310⨒≴∭⊉31553)≠≀≴∭⊉10002∳⫺≴∭⊉3036)","cot":[{"info":"⊖∈≴∭⊉12453=≴∭⊉342223","layer":3},{"info":"≴∭⊉3402∷≴∭⊉21261=≴∭⊉21261","layer":3},{"info":"≴∭⊉342223⫗⊷⫓≴∭⊉21261=≴∭⊉-251","layer":2},{"info":"≴∭⊉14310⨒≴∭⊉31553=≴∭⊉-124416","layer":3},{"info":"≴∭⊉10002∳⫺≴∭⊉3036=≴∭⊉-521","layer":3},{"info":"≴∭⊉-124416≠≀≴∭⊉-521=≴∭⊉125005","layer":2},{"info":"≴∭⊉-251⪝≴∭⊉125005=≴∭⊉456","layer":1},{"info":"≦∁≴∭⊉456=≴∭⊉-12140","layer":0}]}
+{"id":718,"expression_no_base_symbol":"(($3194$⨚⇆$3580$⋻⩜⩜(⊵⊁$3417$))+⇶⊼(⋣($2620$⫒⫫$2540$)))⊮⊟↴($2013$⨽∌$3481$⋾⨃∁$1280$⨸$3314$⩧⪆(⩪∧⨌$1605$⋥≓≎$2899$))","expression":"((≴∭⊉12212⨚⇆≴∭⊉13303⋻⩜⩜(⊵⊁≴∭⊉12651))+⇶⊼(⋣(≴∭⊉10432⫒⫫≴∭⊉10256)))⊮⊟↴(≴∭⊉5604⨽∌≴∭⊉13102⋾⨃∁≴∭⊉3506⨸≴∭⊉12443⩧⪆(⩪∧⨌≴∭⊉4452⋥≓≎≴∭⊉11311))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":298598,"operation_count":13,"complexity_ratio":22969.076923076922,"tree":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":3194,"base":7},"right_expr":{"type":"numeric_atoms","value":3580,"base":7}},"right_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"numeric_atoms","value":3417,"base":7}}},"right_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":2620,"base":7},"right_expr":{"type":"numeric_atoms","value":2540,"base":7}}}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":2013,"base":7},"right_expr":{"type":"numeric_atoms","value":3481,"base":7}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":1280,"base":7},"right_expr":{"type":"numeric_atoms","value":3314,"base":7}}},"right_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1605,"base":7},"right_expr":{"type":"numeric_atoms","value":2899,"base":7}}}}},"used_operators":["QDVgd2eftb","TpPTUOHfaN","oDCm7WA9JY","lwHaAYXP2r","AvED76WdY7","zQWRhDnn8F","6Ko8hGgeMq","Ikt5ks8PT7","212REbPD9h","9samAPKr6k","KmoU8R5UQR","6iOiAJX1F8","Qy55tPpLXF"],"dependent_operators":["XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","AHs5Up7iyr","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","uBihLCJcMX","k8jYdgA6NY","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","eewbuw0ToL","t8gj7n24qd","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"��∭⊉30135616","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3194","layer":4},{"info":"number node, value=3580","layer":4},{"info":"compute binary expreesion, left_input=3194, right_input=3580, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"number node, value=3417","layer":4},{"info":"compute unary expreesion, input=3417, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=19432","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=19432, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=nan","layer":2},{"info":"number node, value=2620","layer":4},{"info":"number node, value=2540","layer":4},{"info":"compute binary expreesion, left_input=2620, right_input=2540, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-113","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-113, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"number node, value=2013","layer":4},{"info":"number node, value=3481","layer":4},{"info":"compute binary expreesion, left_input=2013, right_input=3481, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"number node, value=1280","layer":4},{"info":"number node, value=3314","layer":4},{"info":"compute binary expreesion, left_input=1280, right_input=3314, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=2560","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2560, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=65505186","layer":2},{"info":"number node, value=1605","layer":4},{"info":"number node, value=2899","layer":4},{"info":"compute binary expreesion, left_input=1605, right_input=2899, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=4226","layer":3},{"info":"compute unary expreesion, input=4226, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=42260","layer":2},{"info":"compute binary expreesion, left_input=65505186, right_input=42260, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-42260","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-42260, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=2496661","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉12212⨚⇆≴∭⊉13303⋻⩜⩜(⊵⊁≴∭⊉12651))+⇶⊼(⋣(≴∭⊉10432⫒⫫≴∭⊉10256)))⊮⊟↴(≴∭⊉5604⨽∌≴∭⊉13102⋾⨃∁≴∭⊉3506⨸≴∭⊉12443⩧⪆(⩪∧⨌≴∭⊉4452⋥≓≎≴∭⊉11311))=≴∭⊉30135616","reverse_text":"≴∭⊉30135616=((≴∭⊉12212⨚⇆≴∭⊉13303⋻⩜⩜(⊵⊁≴∭⊉12651))+⇶⊼(⋣(≴∭⊉10432⫒⫫≴∭⊉10256)))⊮⊟↴(≴∭⊉5604⨽∌≴∭⊉13102⋾⨃∁≴∭⊉3506⨸≴∭⊉12443⩧⪆(⩪∧⨌≴∭⊉4452⋥≓≎≴∭⊉11311))","cot":[{"info":"≴∭⊉12212⨚⇆≴∭⊉13303=NaN","layer":3},{"info":"⊵⊁≴∭⊉12651=≴∭⊉110440","layer":3},{"info":"NaN⋻⩜⩜≴∭⊉110440=NaN","layer":2},{"info":"≴∭⊉10432⫒⫫≴∭⊉10256=NaN","layer":3},{"info":"⋣NaN=≴∭⊉-221","layer":2},{"info":"NaN+⇶⊼≴∭⊉-221=NaN","layer":1},{"info":"≴∭⊉5604⨽∌≴∭⊉13102=≴∭⊉0","layer":3},{"info":"≴∭⊉3506⨸≴∭⊉12443=≴∭⊉10315","layer":3},{"info":"≴∭⊉0⋾⨃∁≴∭⊉10315=≴∭⊉1423533135","layer":2},{"info":"≴∭⊉4452⋥≓≎≴∭⊉11311=≴∭⊉15215","layer":3},{"info":"⩪∧⨌≴∭⊉15215=≴∭⊉234131","layer":2},{"info":"≴∭⊉1423533135⩧⪆≴∭⊉234131=≴∭⊉-234131","layer":1},{"info":"NaN⊮⊟↴≴∭⊉-234131=≴∭⊉30135616","layer":0}]}
+{"id":719,"expression_no_base_symbol":"($1520$⪔$6884$⫰⋱(∑⇻≧$1590$))∌($1283$∴$4567$⨸⪁$4108$⨽∌$1776$)⋓(⊄⩳↩$3244$∊∟⩊$2619$)⪚(⪫⨮⊛($1662$⫦⪉$3539$))","expression":"(≴∭⊉4301⪔≴∭⊉26033⫰⋱(∑⇻≧≴∭⊉4431))∌(≴∭⊉3512∴≴���⊉16213⨸⪁≴∭⊉14656⨽∌≴∭⊉5115)⋓(⊄⩳↩≴∭⊉12313∊∟⩊≴∭⊉10431)⪚(⪫⨮⊛(≴∭⊉4563⫦⪉≴∭⊉13214))","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":950761,"operation_count":13,"complexity_ratio":73135.46153846153,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":1520,"base":7},"right_expr":{"type":"numeric_atoms","value":6884,"base":7}},"right_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"numeric_atoms","value":1590,"base":7}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":1283,"base":7},"right_expr":{"type":"numeric_atoms","value":4567,"base":7}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":4108,"base":7},"right_expr":{"type":"numeric_atoms","value":1776,"base":7}}}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":3244,"base":7},"right_expr":{"type":"numeric_atoms","value":2619,"base":7}}},"right_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":1662,"base":7},"right_expr":{"type":"numeric_atoms","value":3539,"base":7}}}}},"used_operators":["T2fj7uvVaJ","8cLx32lpNA","6o9Blt3TJ6","GjBEYRfMaF","l1M9WJ3V7u","g55IO6H4Gj","hrf7POJlIJ","9samAPKr6k","HrjLwUk87U","8w2t5hMYqp","ddLRYrp01A","w5FWba1tyO","wscyQdcy20"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","W4YGzv6Whe","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1520","layer":4},{"info":"number node, value=6884","layer":4},{"info":"compute binary expreesion, left_input=1520, right_input=6884, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"number node, value=1590","layer":4},{"info":"compute unary expreesion, input=1590, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":3},{"info":"compute binary expreesion, left_input=450, right_input=-852, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=469","layer":2},{"info":"number node, value=1283","layer":4},{"info":"number node, value=4567","layer":4},{"info":"compute binary expreesion, left_input=1283, right_input=4567, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=4214","layer":3},{"info":"number node, value=4108","layer":4},{"info":"number node, value=1776","layer":4},{"info":"compute binary expreesion, left_input=4108, right_input=1776, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=4214, right_input=0, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=8428","layer":2},{"info":"compute binary expreesion, left_input=469, right_input=8428, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-8428","layer":1},{"info":"number node, value=3244","layer":4},{"info":"number node, value=2619","layer":4},{"info":"compute binary expreesion, left_input=3244, right_input=2619, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=2619","layer":3},{"info":"compute unary expreesion, input=2619, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-7857","layer":2},{"info":"number node, value=1662","layer":4},{"info":"number node, value=3539","layer":4},{"info":"compute binary expreesion, left_input=1662, right_input=3539, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=1576","layer":3},{"info":"compute unary expreesion, input=1576, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-7857, right_input=nan, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=14838","layer":1},{"info":"compute binary expreesion, left_input=-8428, right_input=14838, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉4301⪔≴∭⊉26033⫰⋱(∑⇻≧≴∭⊉4431))∌(≴∭⊉3512∴≴∭⊉16213⨸⪁≴∭⊉14656⨽∌≴∭⊉5115)⋓(⊄⩳↩≴∭⊉12313∊∟⩊≴∭⊉10431)⪚(⪫⨮⊛(≴∭⊉4563⫦⪉≴∭⊉13214))=≴∭⊉0","reverse_text":"≴∭⊉0=(≴∭⊉4301⪔≴∭⊉26033⫰⋱(∑⇻≧≴∭⊉4431))∌(≴∭⊉3512∴≴∭⊉16213⨸⪁≴∭⊉14656⨽∌≴∭⊉5115)⋓(⊄⩳↩≴∭⊉12313∊∟⩊≴∭⊉10431)⪚(⪫⨮⊛(≴∭⊉4563⫦⪉≴∭⊉13214))","cot":[{"info":"≴∭⊉4301⪔≴∭⊉26033=≴∭⊉1212","layer":3},{"info":"∑⇻≧≴∭⊉4431=≴∭⊉-2325","layer":3},{"info":"≴∭⊉1212⫰⋱≴∭⊉-2325=≴∭⊉1240","layer":2},{"info":"≴∭⊉3512∴≴∭⊉16213=≴∭⊉15200","layer":3},{"info":"≴∭⊉14656⨽∌≴∭⊉5115=≴∭⊉0","layer":3},{"info":"≴∭⊉15200⨸⪁≴∭⊉0=≴∭⊉33400","layer":2},{"info":"≴∭⊉1240∌≴∭⊉33400=≴∭⊉-33400","layer":1},{"info":"≴∭⊉12313∊∟⩊≴∭⊉10431=≴∭⊉10431","layer":3},{"info":"⊄⩳↩≴∭⊉10431=≴∭⊉-31623","layer":2},{"info":"≴∭⊉4563⫦⪉≴∭⊉13214=≴∭⊉4411","layer":3},{"info":"⪫⨮⊛≴∭⊉4411=NaN","layer":2},{"info":"≴∭⊉-31623⪚NaN=≴∭⊉61155","layer":1},{"info":"≴∭⊉-33400⋓≴∭⊉61155=≴∭⊉0","layer":0}]}
+{"id":720,"expression_no_base_symbol":"($2837$∘$2698$⪮%⊝($1717$≃$1533$)∪⫐($1368$⊹∫⫚$3181$)⊮⊟↴($1486$⩒⫫$3417$))⩣⫁∢(($1169$↳∿⪆$6218$⪉⨛$1312$⇣⩺⋵$1127$)⨌↪)","expression":"(≴∭⊉11162∘≴∭⊉10603⪮%⊝(≴∭⊉5002≃≴∭⊉4320)∪⫐(≴∭⊉3663⊹∫⫚≴∭⊉12163)⊮⊟↴(≴∭⊉4222⩒⫫≴∭⊉12651))⩣⫁∢((≴∭⊉3260↳∿⪆≴∭⊉24062⪉⨛≴∭⊉3553⇣⩺⋵≴∭⊉3200)⨌↪)","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2736,"operation_count":12,"complexity_ratio":228.0,"tree":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":2837,"base":7},"right_expr":{"type":"numeric_atoms","value":2698,"base":7}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":1717,"base":7},"right_expr":{"type":"numeric_atoms","value":1533,"base":7}}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":1368,"base":7},"right_expr":{"type":"numeric_atoms","value":3181,"base":7}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":1486,"base":7},"right_expr":{"type":"numeric_atoms","value":3417,"base":7}}}},"right_expr":{"type":"unary","operator":"⨌↪","unary_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":1169,"base":7},"right_expr":{"type":"numeric_atoms","value":6218,"base":7}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":1312,"base":7},"right_expr":{"type":"numeric_atoms","value":1127,"base":7}}}}},"used_operators":["JDUIKTTSIa","7YooWSwCyH","IWmyXbctLI","Z5m6OM72h2","YbVcJGFEVW","QDVgd2eftb","uWAJUKEvyW","KFSx94NKJn","cWQsF5MvuD","EWw2JM7wp4","Cw4SuJJGHO","F4yD0voBRQ"],"dependent_operators":["sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","rJVOvQCfKK","2DDjHMKMc0","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","eH2TOUuTDT","rysDP5nf3Z","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","8w2t5hMYqp","2DQ55sFlQl","i8ToyICDmI","QMFrweE19q","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx"],"result":"≴∭⊉-124354","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2837","layer":4},{"info":"number node, value=2698","layer":4},{"info":"compute binary expreesion, left_input=2837, right_input=2698, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=5674","layer":3},{"info":"number node, value=1717","layer":4},{"info":"number node, value=1533","layer":4},{"info":"compute binary expreesion, left_input=1717, right_input=1533, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-6908","layer":3},{"info":"compute binary expreesion, left_input=5674, right_input=-6908, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=11664","layer":2},{"info":"number node, value=1368","layer":4},{"info":"number node, value=3181","layer":4},{"info":"compute binary expreesion, left_input=1368, right_input=3181, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-344","layer":3},{"info":"number node, value=1486","layer":4},{"info":"number node, value=3417","layer":4},{"info":"compute binary expreesion, left_input=1486, right_input=3417, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=1184","layer":3},{"info":"compute binary expreesion, left_input=-344, right_input=1184, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=11664, right_input=0, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=11664","layer":1},{"info":"number node, value=1169","layer":4},{"info":"number node, value=6218","layer":4},{"info":"compute binary expreesion, left_input=1169, right_input=6218, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"number node, value=1312","layer":4},{"info":"number node, value=1127","layer":4},{"info":"compute binary expreesion, left_input=1312, right_input=1127, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-260, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = cWQsF5MvuD, unary_op_definition = 'a⨌↪ = { (⊄⩳↩((a∲⫓a)⨵⪆(a⫡⨏a))) }', output=-480","layer":1},{"info":"compute binary expreesion, left_input=11664, right_input=-480, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-23167","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉11162∘≴∭⊉10603⪮%⊝(≴∭⊉5002≃≴∭⊉4320)∪⫐(≴∭⊉3663⊹∫⫚≴∭⊉12163)⊮⊟↴(≴∭⊉4222⩒⫫≴∭⊉12651))⩣⫁∢((≴∭⊉3260↳∿⪆≴∭⊉24062⪉⨛≴∭⊉3553⇣⩺⋵≴∭⊉3200)⨌↪)=≴∭⊉-124354","reverse_text":"≴∭⊉-124354=(≴∭⊉11162∘≴∭⊉10603⪮%⊝(≴∭⊉5002≃≴∭⊉4320)∪⫐(≴∭⊉3663⊹∫⫚≴∭⊉12163)⊮⊟↴(≴∭⊉4222⩒⫫≴∭⊉12651))⩣⫁∢((≴∭⊉3260↳∿⪆≴∭⊉24062⪉⨛≴∭⊉3553⇣⩺⋵≴∭⊉3200)⨌↪)","cot":[{"info":"≴∭⊉11162∘≴∭⊉10603=≴∭⊉22354","layer":3},{"info":"≴∭⊉5002≃≴∭⊉4320=≴∭⊉-26066","layer":3},{"info":"≴∭⊉22354⪮%⊝≴∭⊉-26066=≴∭⊉46002","layer":2},{"info":"≴∭⊉3663⊹∫⫚≴∭⊉12163=≴∭⊉-1001","layer":3},{"info":"≴∭⊉4222⩒⫫≴∭⊉12651=≴∭⊉3311","layer":3},{"info":"≴∭⊉-1001⊮⊟↴≴∭⊉3311=≴∭⊉0","layer":2},{"info":"≴∭⊉46002∪⫐≴∭⊉0=≴∭⊉46002","layer":1},{"info":"≴∭⊉3260↳∿⪆≴∭⊉24062=NaN","layer":3},{"info":"≴∭⊉3553⇣⩺⋵≴∭⊉3200=≴∭⊉-521","layer":3},{"info":"NaN⪉⨛≴∭⊉-521=NaN","layer":2},{"info":"NaN⨌↪=≴∭⊉-1254","layer":1},{"info":"≴∭⊉46002⩣⫁∢≴∭⊉-1254=≴∭⊉-124354","layer":0}]}
+{"id":721,"expression_no_base_symbol":"(($1795$∼$1854$)⇤($1910$⩌⋺$2423$)⨑≵⋬(⇠(⨝⨆$2707$)))⪐","expression":"((≴∭⊉5143∼≴∭⊉5256)⇤(≴∭⊉5366⩌⋺≴∭⊉10031)⨑≵⋬(⇠(⨝⨆≴∭⊉10615)))⪐","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":95,"operation_count":7,"complexity_ratio":13.571428571428571,"tree":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1795,"base":7},"right_expr":{"type":"numeric_atoms","value":1854,"base":7}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":1910,"base":7},"right_expr":{"type":"numeric_atoms","value":2423,"base":7}}},"right_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"numeric_atoms","value":2707,"base":7}}}}},"used_operators":["eH2TOUuTDT","XnXgA4xnOs","YSKBFp38Pu","DyGG3AbaNP","g7Hmc5v1ko","18saOjeKKm","bQ67fsrMVf"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","tifHPKVTfV"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1795","layer":4},{"info":"number node, value=1854","layer":4},{"info":"compute binary expreesion, left_input=1795, right_input=1854, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"number node, value=1910","layer":4},{"info":"number node, value=2423","layer":4},{"info":"compute binary expreesion, left_input=1910, right_input=2423, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-4454","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4454, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=nan","layer":2},{"info":"number node, value=2707","layer":4},{"info":"compute unary expreesion, input=2707, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=2498","layer":3},{"info":"compute unary expreesion, input=2498, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-2256","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-2256, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉5143∼≴∭⊉5256)⇤(≴∭⊉5366⩌⋺≴∭⊉10031)⨑≵⋬(⇠(⨝⨆≴∭⊉10615)))⪐=NaN","reverse_text":"NaN=((≴∭⊉5143∼≴∭⊉5256)⇤(≴∭⊉5366⩌⋺≴∭⊉10031)⨑≵⋬(⇠(⨝⨆≴∭⊉10615)))⪐","cot":[{"info":"≴∭⊉5143∼≴∭⊉5256=NaN","layer":3},{"info":"≴∭⊉5366⩌⋺≴∭⊉10031=≴∭⊉-15662","layer":3},{"info":"NaN⇤≴∭⊉-15662=NaN","layer":2},{"info":"⨝⨆≴∭⊉10615=≴∭⊉10166","layer":3},{"info":"⇠≴∭⊉10166=≴∭⊉-6402","layer":2},{"info":"NaN⨑≵⋬≴∭⊉-6402=NaN","layer":1},{"info":"NaN⪐=NaN","layer":0}]}
+{"id":722,"expression_no_base_symbol":"(((↽≂$5059$)+⪬∐($3500$⪨⊡$5760$))⨌↪)⪡(($2204$≄⊠$1606$⫍⨯↯)⇆⨓≜)","expression":"(((↽≂≴∭⊉20515)+⪬∐(≴∭⊉13130⪨⊡≴∭⊉22536))⨌↪)⪡((≴∭⊉6266≄⊠≴∭⊉4453⫍⨯↯)⇆⨓≜)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":260,"operation_count":8,"complexity_ratio":32.5,"tree":{"type":"binary","operator":"⪡","left_expr":{"type":"unary","operator":"⨌↪","unary_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":5059,"base":7}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":3500,"base":7},"right_expr":{"type":"numeric_atoms","value":5760,"base":7}}}},"right_expr":{"type":"unary","operator":"⇆⨓≜","unary_expr":{"type":"unary","operator":"⫍⨯↯","unary_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":2204,"base":7},"right_expr":{"type":"numeric_atoms","value":1606,"base":7}}}}},"used_operators":["oraRL2iQuh","cWQsF5MvuD","2GS7woTJqF","u6S6b8DprG","kuIXHzHcAH","KvvgdUaMHJ","ZcwmYACASQ","vXNesLlMH1"],"dependent_operators":["2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","8w2t5hMYqp","2DQ55sFlQl","i8ToyICDmI","QMFrweE19q","g55IO6H4Gj","D4vGDi5EA2","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","Uaa54Peajs","KYD54nUTWz","23Mk6UjR3U","2DDjHMKMc0","Qy55tPpLXF","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI"],"result":"≴∭⊉5423","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5059","layer":4},{"info":"compute unary expreesion, input=5059, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-10118","layer":3},{"info":"number node, value=3500","layer":4},{"info":"number node, value=5760","layer":4},{"info":"compute binary expreesion, left_input=3500, right_input=5760, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-10118, right_input=0, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=30354","layer":2},{"info":"compute unary expreesion, input=30354, op_id = cWQsF5MvuD, unary_op_definition = 'a⨌↪ = { (⊄⩳↩((a∲⫓a)⨵⪆(a⫡⨏a))) }', output=-480","layer":1},{"info":"number node, value=2204","layer":4},{"info":"number node, value=1606","layer":4},{"info":"compute binary expreesion, left_input=2204, right_input=1606, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=30364","layer":3},{"info":"compute unary expreesion, input=30364, op_id = ZcwmYACASQ, unary_op_definition = 'a⫍⨯↯ = { ((a⋥≓≎a)⋷(a⋝⋈⪟337)) }', output=30331","layer":2},{"info":"compute unary expreesion, input=30331, op_id = KvvgdUaMHJ, unary_op_definition = 'a⇆⨓≜ = { (∂(a⫥∨⫟a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-480, right_input=nan, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=1928","layer":0}],"base":7,"result_base":7,"text":"(((↽≂≴∭⊉20515)+⪬∐(≴∭⊉13130⪨⊡≴∭⊉22536))⨌↪)⪡((≴∭⊉6266≄⊠≴∭⊉4453⫍⨯↯)⇆⨓≜)=≴∭⊉5423","reverse_text":"≴∭⊉5423=(((↽≂≴∭⊉20515)+⪬∐(≴∭⊉13130⪨⊡≴∭⊉22536))⨌↪)⪡((≴∭⊉6266≄⊠≴∭⊉4453⫍⨯↯)⇆⨓≜)","cot":[{"info":"↽≂≴∭⊉20515=≴∭⊉-41333","layer":3},{"info":"≴∭⊉13130⪨⊡≴∭⊉22536=≴∭⊉0","layer":3},{"info":"≴∭⊉-41333+⪬∐≴∭⊉0=≴∭⊉154332","layer":2},{"info":"≴∭⊉154332⨌↪=≴∭⊉-1254","layer":1},{"info":"≴∭⊉6266≄⊠≴∭⊉4453=≴∭⊉154345","layer":3},{"info":"≴∭⊉154345⫍⨯↯=≴∭⊉154300","layer":2},{"info":"≴∭⊉154300⇆⨓≜=NaN","layer":1},{"info":"≴∭⊉-1254⪡NaN=≴∭⊉5423","layer":0}]}
+{"id":723,"expression_no_base_symbol":"⇜⊴(⊢≑≆(($4436$⇉⇱⇎)-$8166$⨳⩥⨓$1885$))","expression":"⇜⊴(⊢≑≆((≴∭⊉15635⇉⇱⇎)-≴∭⊉32544⨳⩥⨓≴∭⊉5332))","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":132,"operation_count":5,"complexity_ratio":26.4,"tree":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⇉⇱⇎","unary_expr":{"type":"numeric_atoms","value":4436,"base":7}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":8166,"base":7},"right_expr":{"type":"numeric_atoms","value":1885,"base":7}}}}},"used_operators":["XwDhCwWbUn","27wFxooxGf","rysDP5nf3Z","MRPaB8lBjK","nCS4ZIUYfx"],"dependent_operators":["WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","XhwjNDsVaA","QiR2Oyf5Xj","uFcxV4UQCh","EWw2JM7wp4","t8gj7n24qd","keWfFq85dY","W4YGzv6Whe","rysDP5nf3Z"],"result":"≴∭⊉-23225530","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4436","layer":4},{"info":"compute unary expreesion, input=4436, op_id = MRPaB8lBjK, unary_op_definition = 'a⇉⇱⇎ = { (((a/a)⪉⨛(≯757))⪛(∷≠(-a))) }', output=-4218","layer":3},{"info":"number node, value=8166","layer":4},{"info":"number node, value=1885","layer":4},{"info":"compute binary expreesion, left_input=8166, right_input=1885, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-6281","layer":3},{"info":"compute binary expreesion, left_input=-4218, right_input=-6281, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2063","layer":2},{"info":"compute unary expreesion, input=2063, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=8704","layer":1},{"info":"compute unary expreesion, input=8704, op_id = XwDhCwWbUn, unary_op_definition = '⇜⊴a = { (↩(∓⪦(a≃a))) , if ((a∐⫣)>271 and (a∴779)<=132) ; ((a↢(a⨔⇊a))⊲⩕⊾((a∝a)⊉↱≁(a⊭↱19))) , else }', output=-2040430","layer":0}],"base":7,"result_base":7,"text":"⇜⊴(⊢≑≆((≴∭⊉15635⇉⇱⇎)-≴∭⊉32544⨳⩥⨓≴∭⊉5332))=≴∭⊉-23225530","reverse_text":"≴∭⊉-23225530=⇜⊴(⊢≑≆((≴∭⊉15635⇉⇱⇎)-≴∭⊉32544⨳⩥⨓≴∭⊉5332))","cot":[{"info":"≴∭⊉15635⇉⇱⇎=≴∭⊉-15204","layer":3},{"info":"≴∭⊉32544⨳⩥⨓≴∭⊉5332=≴∭⊉-24212","layer":3},{"info":"≴∭⊉-15204-≴∭⊉-24212=≴∭⊉6005","layer":2},{"info":"⊢≑≆≴∭⊉6005=≴∭⊉34243","layer":1},{"info":"⇜⊴≴∭⊉34243=≴∭⊉-23225530","layer":0}]}
+{"id":724,"expression_no_base_symbol":"((($2827$⇔⨋)∵≐)⪨⊡($2121$↞⋁$4575$)⇡⇂($1237$↡⊰⫅$2838$))≚⊃≕(⨵($2203$⪍↜⋙$2983$⪡($4334$⨔≚≋$8049$)))","expression":"(((≴∭⊉11146⇔⨋)∵≐)⪨⊡(≴∭⊉6120↞⋁≴∭⊉16224)⇡⇂(≴∭⊉3415↡⊰⫅≴∭⊉11163))≚⊃≕(⨵(≴∭⊉6265⪍↜⋙≴∭⊉11461⪡(≴∭⊉15431⨔≚≋≴∭⊉32316)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":68844,"operation_count":11,"complexity_ratio":6258.545454545455,"tree":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"unary","operator":"∵≐","unary_expr":{"type":"unary","operator":"⇔⨋","unary_expr":{"type":"numeric_atoms","value":2827,"base":7}}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":2121,"base":7},"right_expr":{"type":"numeric_atoms","value":4575,"base":7}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":1237,"base":7},"right_expr":{"type":"numeric_atoms","value":2838,"base":7}}}},"right_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":2203,"base":7},"right_expr":{"type":"numeric_atoms","value":2983,"base":7}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":4334,"base":7},"right_expr":{"type":"numeric_atoms","value":8049,"base":7}}}}},"used_operators":["Bmrmz2XGnR","kuIXHzHcAH","59igzFyhWz","uBihLCJcMX","UMwdvZNt44","RqrPlJkxDo","VCtxkLNOzz","Tl3Y52tvF8","oraRL2iQuh","L05ObWFQCd","Z57zeUYC9z"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","W4YGzv6Whe","DZ8iAZOCBD","8w2t5hMYqp","Ph9nP6C5qx","12rbrZMWeM","N41Kp7NANJ","7j4O788W3g","glklzrTFfD","tifHPKVTfV","12rbrZMWeM","f6k1SAg4EE","D4vGDi5EA2","nCS4ZIUYfx","QMFrweE19q","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2827","layer":4},{"info":"compute unary expreesion, input=2827, op_id = uBihLCJcMX, unary_op_definition = 'a⇔⨋ = { (((a⨁⊸⫻)⋳⪒a)⪒((a≦≮≮)⨁⊸⫻)) , if a<217 ; (((a≋⫹)⨳⩥⨓(a↺a))⋳⪒((a⨳⩥⨓a)⫡⨏(a⇼⇔∾a))) , else }', output=15892","layer":3},{"info":"compute unary expreesion, input=15892, op_id = 59igzFyhWz, unary_op_definition = 'a∵≐ = { ((a⊉≛↸31)⋳⪒(101+a)) , if a<=828 ; ((⊄⩳↩a)≧⫂∧(a≧⫂∧a)) , else }', output=14946","layer":2},{"info":"number node, value=2121","layer":4},{"info":"number node, value=4575","layer":4},{"info":"compute binary expreesion, left_input=2121, right_input=4575, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"number node, value=1237","layer":4},{"info":"number node, value=2838","layer":4},{"info":"compute binary expreesion, left_input=1237, right_input=2838, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=5676","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5676, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=14946, right_input=nan, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=nan","layer":1},{"info":"number node, value=2203","layer":4},{"info":"number node, value=2983","layer":4},{"info":"compute binary expreesion, left_input=2203, right_input=2983, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-17764","layer":3},{"info":"number node, value=4334","layer":4},{"info":"number node, value=8049","layer":4},{"info":"compute binary expreesion, left_input=4334, right_input=8049, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"compute binary expreesion, left_input=-17764, right_input=9872, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=36496","layer":2},{"info":"compute unary expreesion, input=36496, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=-293177","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-293177, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(((≴∭⊉11146⇔⨋)∵≐)⪨⊡(≴∭⊉6120↞⋁≴∭⊉16224)⇡⇂(≴∭⊉3415↡⊰⫅≴∭⊉11163))≚⊃≕(⨵(≴∭⊉6265⪍↜⋙≴∭⊉11461⪡(≴∭⊉15431⨔≚≋≴∭⊉32316)))=NaN","reverse_text":"NaN=(((≴∭⊉11146⇔⨋)∵≐)⪨⊡(≴∭⊉6120↞⋁≴∭⊉16224)⇡⇂(≴∭⊉3415↡⊰⫅≴∭⊉11163))≚⊃≕(⨵(≴∭⊉6265⪍↜⋙≴∭⊉11461⪡(≴∭⊉15431⨔≚≋≴∭⊉32316)))","cot":[{"info":"≴∭⊉11146⇔⨋=≴∭⊉64222","layer":3},{"info":"≴∭⊉64222∵≐=≴∭⊉61401","layer":2},{"info":"≴∭⊉6120↞⋁≴∭⊉16224=NaN","layer":3},{"info":"≴∭⊉3415↡⊰⫅≴∭⊉11163=≴∭⊉22356","layer":3},{"info":"NaN⇡⇂≴∭⊉22356=NaN","layer":2},{"info":"≴∭⊉61401⪨⊡NaN=NaN","layer":1},{"info":"≴∭⊉6265⪍↜⋙≴∭⊉11461=≴∭⊉-102535","layer":3},{"info":"≴∭⊉15431⨔≚≋≴∭⊉32316=≴∭⊉40532","layer":3},{"info":"≴∭⊉-102535⪡≴∭⊉40532=≴∭⊉211255","layer":2},{"info":"⨵≴∭⊉211255=≴∭⊉-2330513","layer":1},{"info":"NaN≚⊃≕≴∭⊉-2330513=NaN","layer":0}]}
+{"id":725,"expression_no_base_symbol":"((($1256$⩨$5565$)↼⊘⨖($2065$≭$3654$))↹⊜((⋗⩬⋾$8155$)⨚⇆(↔$4480$)))⫞⩸⩒(($3085$⨭⪣$3858$⊍⩺⋍(≛$1913$))⫸⇳$2169$≦↸$4197$⪭($3960$≳⇉$3274$))","expression":"(((≴∭⊉3443⩨≴∭⊉22140)↼⊘⨖(≴∭⊉6010≭≴∭⊉13440))↹⊜((⋗⩬⋾≴∭⊉32530)⨚⇆(↔≴∭⊉16030)))⫞⩸⩒((≴∭⊉11665⨭⪣≴∭⊉14151⊍⩺⋍(≛≴∭⊉5402))⫸⇳≴∭⊉6216≦↸≴∭⊉15144⪭(≴∭⊉14355≳⇉≴∭⊉12355))","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":142108574,"operation_count":15,"complexity_ratio":9473904.933333334,"tree":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1256,"base":7},"right_expr":{"type":"numeric_atoms","value":5565,"base":7}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2065,"base":7},"right_expr":{"type":"numeric_atoms","value":3654,"base":7}}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":8155,"base":7}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":4480,"base":7}}}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":3085,"base":7},"right_expr":{"type":"numeric_atoms","value":3858,"base":7}},"right_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"numeric_atoms","value":1913,"base":7}}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":2169,"base":7},"right_expr":{"type":"numeric_atoms","value":4197,"base":7}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":3960,"base":7},"right_expr":{"type":"numeric_atoms","value":3274,"base":7}}}}},"used_operators":["XGcMNugi78","9bazX3JMtO","bPywburJMS","2DlMacCsIx","rxpJgHHUmx","lwHaAYXP2r","DpFCA1CohY","ruOEQAzv1W","gx7XJ7hdpj","OXDGMFPWZM","kn8WO9XteQ","W7eaUhjymW","j9kHMeSvPp","RygbFNSyEJ","V0kx6qeWkN"],"dependent_operators":["VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","AHs5Up7iyr","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","COABgblf1C","xUOZtlo3hN","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1256","layer":4},{"info":"number node, value=5565","layer":4},{"info":"compute binary expreesion, left_input=1256, right_input=5565, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-12","layer":3},{"info":"number node, value=2065","layer":4},{"info":"number node, value=3654","layer":4},{"info":"compute binary expreesion, left_input=2065, right_input=3654, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-12, right_input=nan, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=nan","layer":2},{"info":"number node, value=8155","layer":4},{"info":"compute unary expreesion, input=8155, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-24465","layer":3},{"info":"number node, value=4480","layer":4},{"info":"compute unary expreesion, input=4480, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-4207","layer":3},{"info":"compute binary expreesion, left_input=-24465, right_input=-4207, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=nan","layer":1},{"info":"number node, value=3085","layer":4},{"info":"number node, value=3858","layer":4},{"info":"compute binary expreesion, left_input=3085, right_input=3858, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=1806","layer":3},{"info":"number node, value=1913","layer":4},{"info":"compute unary expreesion, input=1913, op_id = W7eaUhjymW, unary_op_definition = '≛a = { (((a+a)⊉≛↸(a⪠⩆⊳))⊭↱((a⪒a)⩚⊴⇥(a⋝⋈⪟a))) , if (a⫩⊇)>7 or a==273 ; (((a-a)⪒(a⪨≂a))⊉≛↸((a⨰a)⋝⋈⪟(a+a))) , else }', output=-10","layer":3},{"info":"compute binary expreesion, left_input=1806, right_input=-10, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":2},{"info":"number node, value=2169","layer":4},{"info":"number node, value=4197","layer":4},{"info":"compute binary expreesion, left_input=2169, right_input=4197, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-12051","layer":3},{"info":"number node, value=3960","layer":4},{"info":"number node, value=3274","layer":4},{"info":"compute binary expreesion, left_input=3960, right_input=3274, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-12051, right_input=nan, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=11877","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=11877, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(((≴∭⊉3443⩨≴∭⊉22140)↼⊘⨖(≴∭⊉6010≭≴∭⊉13440))↹⊜((⋗⩬⋾≴∭⊉32530)⨚⇆(↔≴∭⊉16030)))⫞⩸⩒((≴∭⊉11665⨭⪣≴∭⊉14151⊍⩺⋍(≛≴∭⊉5402))⫸⇳≴∭⊉6216≦↸≴∭⊉15144⪭(≴∭⊉14355≳⇉≴∭⊉12355))=NaN","reverse_text":"NaN=(((≴∭⊉3443⩨≴∭⊉22140)↼⊘⨖(≴∭⊉6010≭≴∭⊉13440))↹⊜((⋗⩬⋾≴∭⊉32530)⨚⇆(↔≴∭⊉16030)))⫞⩸⩒((≴∭⊉11665⨭⪣≴∭⊉14151⊍⩺⋍(≛≴∭⊉5402))⫸⇳≴∭⊉6216≦↸≴∭⊉15144⪭(≴∭⊉14355≳⇉≴∭⊉12355))","cot":[{"info":"≴∭⊉3443⩨≴∭⊉22140=≴∭⊉-15","layer":3},{"info":"≴∭⊉6010≭≴∭⊉13440=NaN","layer":3},{"info":"≴∭⊉-15↼⊘⨖NaN=NaN","layer":2},{"info":"⋗⩬⋾≴∭⊉32530=≴∭⊉-131220","layer":3},{"info":"↔≴∭⊉16030=≴∭⊉-15160","layer":3},{"info":"≴∭⊉-131220⨚⇆≴∭⊉-15160=NaN","layer":2},{"info":"NaN↹⊜NaN=NaN","layer":1},{"info":"≴∭⊉11665⨭⪣≴∭⊉14151=≴∭⊉5160","layer":3},{"info":"≛≴∭⊉5402=≴∭⊉-13","layer":3},{"info":"≴∭⊉5160⊍⩺⋍≴∭⊉-13=NaN","layer":2},{"info":"≴∭⊉6216≦↸≴∭⊉15144=≴∭⊉-50064","layer":3},{"info":"≴∭⊉14355≳⇉≴∭⊉12355=NaN","layer":3},{"info":"≴∭⊉-50064⪭NaN=≴∭⊉46425","layer":2},{"info":"NaN⫸⇳≴∭⊉46425=NaN","layer":1},{"info":"NaN⫞⩸⩒NaN=NaN","layer":0}]}
+{"id":726,"expression_no_base_symbol":"(((↔$1185$)⫡⨏$3398$⋓$2528$)⊾⪯⋞(≇⪴$8399$)⇌⫙⪟(≇⪴$2863$))⪄(↽≂$2015$⫘$2972$)⊢($2132$↹⊜$2382$⪘⫢(⇠$1498$))","expression":"(((↔≴∭⊉3312)⫡⨏≴∭⊉12623⋓≴∭⊉10241)⊾⪯⋞(≇⪴≴∭⊉33326)⇌⫙⪟(≇⪴≴∭⊉11230))⪄(↽≂≴∭⊉5606⫘≴∭⊉11444)⊢(≴∭⊉6134↹⊜≴∭⊉6642⪘⫢(⇠≴∭⊉4240))","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2514,"operation_count":14,"complexity_ratio":179.57142857142858,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1185,"base":7}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3398,"base":7},"right_expr":{"type":"numeric_atoms","value":2528,"base":7}}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"numeric_atoms","value":8399,"base":7}},"right_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"numeric_atoms","value":2863,"base":7}}}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":2015,"base":7},"right_expr":{"type":"numeric_atoms","value":2972,"base":7}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":2132,"base":7},"right_expr":{"type":"numeric_atoms","value":2382,"base":7}},"right_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"numeric_atoms","value":1498,"base":7}}}}},"used_operators":["SUmda5xLS4","HK0tfVPux8","QMFrweE19q","ruOEQAzv1W","T2fj7uvVaJ","AFVx7xoS7T","zoVPnxeHJ3","5twsqlHp2o","u6S6b8DprG","48vC8HMD2b","oacrs7FA3X","9bazX3JMtO","18saOjeKKm"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx"],"result":"≴∭⊉-1361421021","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1185","layer":4},{"info":"compute unary expreesion, input=1185, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-912","layer":3},{"info":"number node, value=3398","layer":4},{"info":"number node, value=2528","layer":4},{"info":"compute binary expreesion, left_input=3398, right_input=2528, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-912, right_input=0, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=-3777","layer":2},{"info":"number node, value=8399","layer":4},{"info":"compute unary expreesion, input=8399, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-23857","layer":3},{"info":"number node, value=2863","layer":4},{"info":"compute unary expreesion, input=2863, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-7249","layer":3},{"info":"compute binary expreesion, left_input=-23857, right_input=-7249, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=83995","layer":2},{"info":"compute binary expreesion, left_input=-3777, right_input=83995, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=167564","layer":1},{"info":"number node, value=2015","layer":4},{"info":"number node, value=2972","layer":4},{"info":"compute binary expreesion, left_input=2015, right_input=2972, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=2374045","layer":3},{"info":"compute unary expreesion, input=2374045, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-4748090","layer":2},{"info":"number node, value=2132","layer":4},{"info":"number node, value=2382","layer":4},{"info":"compute binary expreesion, left_input=2132, right_input=2382, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-5360","layer":3},{"info":"number node, value=1498","layer":4},{"info":"compute unary expreesion, input=1498, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-1256","layer":3},{"info":"compute binary expreesion, left_input=-5360, right_input=-1256, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1","layer":2},{"info":"compute binary expreesion, left_input=-4748090, right_input=-1, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=9495936","layer":1},{"info":"compute binary expreesion, left_input=167564, right_input=9495936, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-62779305","layer":0}],"base":7,"result_base":7,"text":"(((↔≴∭⊉3312)⫡⨏≴∭⊉12623⋓≴∭⊉10241)⊾⪯⋞(≇⪴≴∭⊉33326)⇌⫙⪟(≇⪴≴∭⊉11230))⪄(↽≂≴∭⊉5606⫘≴∭⊉11444)⊢(≴∭⊉6134↹⊜≴∭⊉6642⪘⫢(⇠≴∭⊉4240))=≴∭⊉-1361421021","reverse_text":"≴∭⊉-1361421021=(((↔≴∭⊉3312)⫡⨏≴∭⊉12623⋓≴∭⊉10241)⊾⪯⋞(≇⪴≴∭⊉33326)⇌⫙⪟(≇⪴≴∭⊉11230))⪄(↽≂≴∭⊉5606⫘≴∭⊉11444)⊢(≴∭⊉6134↹⊜≴∭⊉6642⪘⫢(⇠≴∭⊉4240))","cot":[{"info":"↔≴∭⊉3312=≴∭⊉-2442","layer":3},{"info":"≴∭⊉12623⋓≴∭⊉10241=≴∭⊉0","layer":3},{"info":"≴∭⊉-2442⫡⨏≴∭⊉0=≴∭⊉-14004","layer":2},{"info":"≇⪴≴∭⊉33326=≴∭⊉-126361","layer":3},{"info":"≇⪴≴∭⊉11230=≴∭⊉-30064","layer":3},{"info":"≴∭⊉-126361⇌⫙⪟≴∭⊉-30064=≴∭⊉466612","layer":2},{"info":"≴∭⊉-14004⊾⪯⋞≴∭⊉466612=≴∭⊉1265345","layer":1},{"info":"≴∭⊉5606⫘≴∭⊉11444=≴∭⊉26115262","layer":3},{"info":"↽≂≴∭⊉26115262=≴∭⊉-55233554","layer":2},{"info":"≴∭⊉6134↹⊜≴∭⊉6642=≴∭⊉-21425","layer":3},{"info":"⇠≴∭⊉4240=≴∭⊉-3443","layer":3},{"info":"≴∭⊉-21425⪘⫢≴∭⊉-3443=≴∭⊉-1","layer":2},{"info":"≴∭⊉-55233554⊢≴∭⊉-1=≴∭⊉143466642","layer":1},{"info":"≴∭⊉1265345⪄≴∭⊉143466642=≴∭⊉-1361421021","layer":0}]}
+{"id":727,"expression_no_base_symbol":"($3468$⋕⪉⪜$2931$)⋹⋡⊁($2813$⩷∴$3034$)↳≱(∮$3495$)⇻⋧≁($1996$∲⫓$5394$)≀⩗∶(($3698$-$3177$)≀⩗∶$1570$⪢$3365$)⪥($2889$⇼⇔∾$1202$)⩁⩘($7148$⩹$2268$)","expression":"(≴∭⊉13053⋕⪉⪜≴∭⊉11355)⋹⋡⊁(≴∭⊉11126⩷∴≴∭⊉11563)↳≱(∮≴∭⊉13122)⇻⋧≁(≴∭⊉5551∲⫓≴∭⊉21504)≀⩗∶((≴∭⊉13532-≴∭⊉12156)≀⩗∶≴∭⊉4402⪢��∭⊉12545)⪥(≴∭⊉11265⇼⇔∾≴∭⊉3335)⩁⩘(≴∭⊉26561⩹≴∭⊉6420)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":3980,"operation_count":15,"complexity_ratio":265.3333333333333,"tree":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":3468,"base":7},"right_expr":{"type":"numeric_atoms","value":2931,"base":7}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2813,"base":7},"right_expr":{"type":"numeric_atoms","value":3034,"base":7}}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"numeric_atoms","value":3495,"base":7}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1996,"base":7},"right_expr":{"type":"numeric_atoms","value":5394,"base":7}}}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3698,"base":7},"right_expr":{"type":"numeric_atoms","value":3177,"base":7}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1570,"base":7},"right_expr":{"type":"numeric_atoms","value":3365,"base":7}}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2889,"base":7},"right_expr":{"type":"numeric_atoms","value":1202,"base":7}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":7148,"base":7},"right_expr":{"type":"numeric_atoms","value":2268,"base":7}}}}},"used_operators":["8INZBEW696","JwTKLfZU96","As8RqfVLgs","z6LnFrNh4i","9FxExcQeMw","jCPkEVoL5K","CqXKPLVYql","i8ToyICDmI","QbnwKVWMIQ","rysDP5nf3Z","dWAJyo7jo9","gub5Cegaqo","tifHPKVTfV","2Wsdkap16l"],"dependent_operators":["KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","rysDP5nf3Z","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","W4YGzv6Whe","t8gj7n24qd","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","k8jYdgA6NY","DpFCA1CohY","IWmyXbctLI","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3468","layer":4},{"info":"number node, value=2931","layer":4},{"info":"compute binary expreesion, left_input=3468, right_input=2931, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":3},{"info":"number node, value=2813","layer":4},{"info":"number node, value=3034","layer":4},{"info":"compute binary expreesion, left_input=2813, right_input=3034, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-474","layer":3},{"info":"compute binary expreesion, left_input=2802, right_input=-474, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=22154","layer":2},{"info":"number node, value=3495","layer":4},{"info":"compute unary expreesion, input=3495, op_id = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=67","layer":3},{"info":"number node, value=1996","layer":4},{"info":"number node, value=5394","layer":4},{"info":"compute binary expreesion, left_input=1996, right_input=5394, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=0, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=22154, right_input=-447, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":1},{"info":"number node, value=3698","layer":4},{"info":"number node, value=3177","layer":4},{"info":"compute binary expreesion, left_input=3698, right_input=3177, op_id = rysDP5nf3Z binary_op_definition= 'None', output=521","layer":3},{"info":"number node, value=1570","layer":4},{"info":"number node, value=3365","layer":4},{"info":"compute binary expreesion, left_input=1570, right_input=3365, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=521, right_input=nan, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=nan","layer":2},{"info":"number node, value=2889","layer":4},{"info":"number node, value=1202","layer":4},{"info":"compute binary expreesion, left_input=2889, right_input=1202, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1687","layer":3},{"info":"number node, value=7148","layer":4},{"info":"number node, value=2268","layer":4},{"info":"compute binary expreesion, left_input=7148, right_input=2268, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=2266","layer":3},{"info":"compute binary expreesion, left_input=-1687, right_input=2266, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=10012","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=10012, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉13053⋕⪉⪜≴∭⊉11355)⋹⋡⊁(≴∭⊉11126⩷∴≴∭⊉11563)↳≱(∮≴∭⊉13122)⇻⋧≁(≴∭⊉5551∲⫓≴∭⊉21504)≀⩗∶((≴∭⊉13532-≴∭⊉12156)≀⩗∶≴∭⊉4402⪢≴∭⊉12545)⪥(≴∭⊉11265⇼⇔∾≴∭⊉3335)⩁⩘(≴∭⊉26561⩹≴∭⊉6420)=NaN","reverse_text":"NaN=(≴∭⊉13053⋕⪉⪜≴∭⊉11355)⋹⋡⊁(≴∭⊉11126⩷∴≴∭⊉11563)↳≱(∮≴∭⊉13122)⇻⋧≁(≴∭⊉5551∲⫓≴∭⊉21504)≀⩗∶((≴∭⊉13532-≴∭⊉12156)≀⩗∶≴∭⊉4402⪢≴∭⊉12545)⪥(≴∭⊉11265⇼⇔∾≴∭⊉3335)⩁⩘(≴∭⊉26561⩹≴∭⊉6420)","cot":[{"info":"≴∭⊉13053⋕⪉⪜≴∭⊉11355=≴∭⊉11112","layer":3},{"info":"≴∭⊉11126⩷∴≴∭⊉11563=≴∭⊉-1245","layer":3},{"info":"≴∭⊉11112⋹⋡⊁≴∭⊉-1245=≴∭⊉121406","layer":2},{"info":"∮≴∭⊉13122=≴∭⊉124","layer":3},{"info":"≴∭⊉5551∲⫓≴∭⊉21504=≴∭⊉0","layer":3},{"info":"≴∭⊉124⇻⋧≁≴∭⊉0=≴∭⊉-1206","layer":2},{"info":"≴∭⊉121406↳≱≴∭⊉-1206=≴∭⊉0","layer":1},{"info":"≴∭⊉13532-≴∭⊉12156=≴∭⊉1343","layer":3},{"info":"≴∭⊉4402⪢≴∭⊉12545=NaN","layer":3},{"info":"≴∭⊉1343≀⩗∶NaN=NaN","layer":2},{"info":"≴∭⊉11265⇼⇔∾≴∭⊉3335=≴∭⊉-4630","layer":3},{"info":"≴∭⊉26561⩹≴∭⊉6420=≴∭⊉6415","layer":3},{"info":"≴∭⊉-4630⩁⩘≴∭⊉6415=≴∭⊉41122","layer":2},{"info":"NaN⪥≴∭⊉41122=NaN","layer":1},{"info":"≴∭⊉0≀⩗∶NaN=NaN","layer":0}]}
+{"id":728,"expression_no_base_symbol":"⇺⋃((≱⇩⩕$1611$)⩁⩘($6789$∼$5768$)⩎⪣⊞)","expression":"⇺⋃((≱⇩⩕≴∭⊉4461)⩁⩘(≴∭⊉25536∼≴∭⊉22550)⩎⪣⊞)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":244,"operation_count":5,"complexity_ratio":48.8,"tree":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"unary","operator":"⩎⪣⊞","unary_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"numeric_atoms","value":1611,"base":7}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":6789,"base":7},"right_expr":{"type":"numeric_atoms","value":5768,"base":7}}}}},"used_operators":["E5v5B3UAjG","waWucp1uQ4","gub5Cegaqo","3DZMoQKiUl","DyGG3AbaNP"],"dependent_operators":["bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","mp7IySMOzn","DpFCA1CohY","IWmyXbctLI","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1611","layer":4},{"info":"compute unary expreesion, input=1611, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":3},{"info":"number node, value=6789","layer":4},{"info":"number node, value=5768","layer":4},{"info":"compute binary expreesion, left_input=6789, right_input=5768, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=nan, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)��%⊝(⋗⩬⋾a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = waWucp1uQ4, unary_op_definition = 'a⩎⪣⊞ = { (a⇷a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"⇺⋃((≱⇩⩕≴∭⊉4461)⩁⩘(≴∭⊉25536∼≴∭⊉22550)⩎⪣⊞)=NaN","reverse_text":"NaN=⇺⋃((≱⇩⩕≴∭⊉4461)⩁⩘(≴∭⊉25536∼≴∭⊉22550)⩎⪣⊞)","cot":[{"info":"≱⇩⩕≴∭⊉4461=≴∭⊉221","layer":3},{"info":"≴∭⊉25536∼≴∭⊉22550=NaN","layer":3},{"info":"≴∭⊉221⩁⩘NaN=NaN","layer":2},{"info":"NaN⩎⪣⊞=NaN","layer":1},{"info":"⇺⋃NaN=NaN","layer":0}]}
+{"id":729,"expression_no_base_symbol":"(⫡⇟⇯$5852$⊕∕$4159$)⇂≾⫗(($3984$⊋≦⊧$1042$)↓$4197$⪝$1997$)/($3823$⋳⪒$2777$)∼(⪓⩚$1014$)≬⋮($1585$⪭$2385$)⪔⊥($5802$⨽$4271$)","expression":"(⫡⇟⇯≴∭⊉23030⊕∕≴∭⊉15061)⇂≾⫗((≴∭⊉14421⊋≦⊧≴∭⊉3016)↓≴∭⊉15144⪝≴∭⊉5552)/(≴∭⊉14101⋳⪒≴∭⊉11045)∼(⪓⩚≴∭⊉2646)≬⋮(≴∭⊉4423⪭≴∭⊉6645)⪔⊥(≴∭⊉22626⨽≴∭⊉15311)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":140621,"operation_count":14,"complexity_ratio":10044.357142857143,"tree":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":5852,"base":7},"right_expr":{"type":"numeric_atoms","value":4159,"base":7}}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":3984,"base":7},"right_expr":{"type":"numeric_atoms","value":1042,"base":7}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":4197,"base":7},"right_expr":{"type":"numeric_atoms","value":1997,"base":7}}}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3823,"base":7},"right_expr":{"type":"numeric_atoms","value":2777,"base":7}},"right_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"numeric_atoms","value":1014,"base":7}}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":1585,"base":7},"right_expr":{"type":"numeric_atoms","value":2385,"base":7}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":5802,"base":7},"right_expr":{"type":"numeric_atoms","value":4271,"base":7}}}}},"used_operators":["XhwjNDsVaA","aBQ6xLxuTc","qWUSsah53b","9cloC0Ngie","Af076pWI7l","oRDoc9rAEX","wicAB68Tmb","kbkesczE7y","DyGG3AbaNP","12rbrZMWeM","u0R0Locfp2","HJ9erzHUuu","j9kHMeSvPp","8HhzD0ZcuI"],"dependent_operators":["rysDP5nf3Z","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","DZ8iAZOCBD","P8v4zCKN1o","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","COABgblf1C","xUOZtlo3hN","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"≴∭⊉-1","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5852","layer":4},{"info":"number node, value=4159","layer":4},{"info":"compute binary expreesion, left_input=5852, right_input=4159, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=5852","layer":3},{"info":"compute unary expreesion, input=5852, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=12572","layer":2},{"info":"number node, value=3984","layer":4},{"info":"number node, value=1042","layer":4},{"info":"compute binary expreesion, left_input=3984, right_input=1042, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=-1844","layer":3},{"info":"number node, value=4197","layer":4},{"info":"number node, value=1997","layer":4},{"info":"compute binary expreesion, left_input=4197, right_input=1997, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-9199","layer":3},{"info":"compute binary expreesion, left_input=-1844, right_input=-9199, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":2},{"info":"compute binary expreesion, left_input=12572, right_input=-134, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":1},{"info":"number node, value=3823","layer":4},{"info":"number node, value=2777","layer":4},{"info":"compute binary expreesion, left_input=3823, right_input=2777, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=4582","layer":3},{"info":"number node, value=1014","layer":4},{"info":"compute unary expreesion, input=1014, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":3},{"info":"compute binary expreesion, left_input=4582, right_input=426, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=0","layer":2},{"info":"number node, value=1585","layer":4},{"info":"number node, value=2385","layer":4},{"info":"compute binary expreesion, left_input=1585, right_input=2385, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"number node, value=5802","layer":4},{"info":"number node, value=4271","layer":4},{"info":"compute binary expreesion, left_input=5802, right_input=4271, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-101001111","layer":3},{"info":"compute binary expreesion, left_input=5, right_input=-101001111, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=794","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=794, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":1},{"info":"compute binary expreesion, left_input=-676, right_input=868, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-1","layer":0}],"base":7,"result_base":7,"text":"(⫡⇟⇯≴∭⊉23030⊕∕≴∭⊉15061)⇂≾⫗((≴∭⊉14421⊋≦⊧≴∭⊉3016)↓≴∭⊉15144⪝≴∭⊉5552)/(≴∭⊉14101⋳⪒≴∭⊉11045)∼(⪓⩚≴∭⊉2646)≬⋮(≴∭⊉4423⪭≴∭⊉6645)⪔⊥(≴∭⊉22626⨽≴∭⊉15311)=≴∭⊉-1","reverse_text":"≴∭⊉-1=(⫡⇟⇯≴∭⊉23030⊕∕≴∭⊉15061)⇂≾⫗((≴∭⊉14421⊋≦⊧≴∭⊉3016)↓≴∭⊉15144⪝≴∭⊉5552)/(≴∭⊉14101⋳⪒≴∭⊉11045)∼(⪓⩚≴∭⊉2646)≬⋮(≴∭⊉4423⪭≴∭⊉6645)⪔⊥(≴∭⊉22626⨽≴∭⊉15311)","cot":[{"info":"≴∭⊉23030⊕∕≴∭⊉15061=≴∭⊉23030","layer":3},{"info":"⫡⇟⇯≴∭⊉23030=≴∭⊉51440","layer":2},{"info":"≴∭⊉14421⊋≦⊧≴∭⊉3016=≴∭⊉-5243","layer":3},{"info":"≴∭⊉15144⪝≴∭⊉5552=≴∭⊉-35551","layer":3},{"info":"≴∭⊉-5243↓≴∭⊉-35551=≴∭⊉-251","layer":2},{"info":"≴∭⊉51440⇂≾⫗≴∭⊉-251=≴∭⊉-1654","layer":1},{"info":"≴∭⊉14101⋳⪒≴∭⊉11045=≴∭⊉16234","layer":3},{"info":"⪓⩚≴∭⊉2646=≴∭⊉1146","layer":3},{"info":"≴∭⊉16234∼≴∭⊉1146=≴∭⊉0","layer":2},{"info":"≴∭⊉4423⪭≴∭⊉6645=≴∭⊉5","layer":3},{"info":"≴∭⊉22626⨽≴∭⊉15311=≴∭⊉-2334331611","layer":3},{"info":"≴∭⊉5⪔⊥≴∭⊉-2334331611=≴∭⊉2213","layer":2},{"info":"≴∭⊉0≬⋮≴∭⊉2213=≴∭⊉2350","layer":1},{"info":"≴∭⊉-1654/≴∭⊉2350=≴∭⊉-1","layer":0}]}
+{"id":730,"expression_no_base_symbol":"((∂⩏⊆$1322$⪥$1363$)⨳⩥⨓($1031$⨸⪁$1553$)⩚⊴⇥($2906$⊾⪯⋞$2809$))→⨶⪴($2565$⪔$1561$⊉≛↸(∑⇻≧$1103$))⨿(⊬↢($1342$⋣⋖$1691$))","expression":"((∂⩏⊆≴∭⊉3566⪥≴∭⊉3655)⨳⩥⨓(≴∭⊉3002⨸⪁≴∭⊉4346)⩚⊴⇥(≴∭⊉11321⊾⪯⋞≴∭⊉11122))→⨶⪴(≴∭⊉10323⪔≴∭⊉4360⊉≛↸(∑⇻≧≴∭⊉3134))⨿(⊬↢(≴∭⊉3625⋣⋖≴∭⊉4634))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":3379,"operation_count":13,"complexity_ratio":259.9230769230769,"tree":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":1322,"base":7},"right_expr":{"type":"numeric_atoms","value":1363,"base":7}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1031,"base":7},"right_expr":{"type":"numeric_atoms","value":1553,"base":7}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":2906,"base":7},"right_expr":{"type":"numeric_atoms","value":2809,"base":7}}}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":2565,"base":7},"right_expr":{"type":"numeric_atoms","value":1561,"base":7}},"right_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"numeric_atoms","value":1103,"base":7}}},"right_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":1342,"base":7},"right_expr":{"type":"numeric_atoms","value":1691,"base":7}}}}},"used_operators":["bF6eod5Gvf","nCS4ZIUYfx","8WDwsbhb0R","QbnwKVWMIQ","NTOWxs364D","g55IO6H4Gj","HK0tfVPux8","abYXlopdE0","DZ8iAZOCBD","GjBEYRfMaF","l1M9WJ3V7u","WPoGxAaPR1","J0M6qkBnIM"],"dependent_operators":["8w2t5hMYqp","9FxExcQeMw","W4YGzv6Whe","rysDP5nf3Z","14qkJME0vr","eLAdDNolq6","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2"],"result":"≴∭⊉222664","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1322","layer":4},{"info":"number node, value=1363","layer":4},{"info":"compute binary expreesion, left_input=1322, right_input=1363, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=9940","layer":3},{"info":"compute unary expreesion, input=9940, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-29899","layer":2},{"info":"number node, value=1031","layer":4},{"info":"number node, value=1553","layer":4},{"info":"compute binary expreesion, left_input=1031, right_input=1553, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=5168","layer":3},{"info":"number node, value=2906","layer":4},{"info":"number node, value=2809","layer":4},{"info":"compute binary expreesion, left_input=2906, right_input=2809, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=5192","layer":3},{"info":"compute binary expreesion, left_input=5168, right_input=5192, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-10481","layer":2},{"info":"compute binary expreesion, left_input=-29899, right_input=-10481, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=19418","layer":1},{"info":"number node, value=2565","layer":4},{"info":"number node, value=1561","layer":4},{"info":"compute binary expreesion, left_input=2565, right_input=1561, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"number node, value=1103","layer":4},{"info":"compute unary expreesion, input=1103, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":3},{"info":"compute binary expreesion, left_input=450, right_input=-852, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=900","layer":2},{"info":"number node, value=1342","layer":4},{"info":"number node, value=1691","layer":4},{"info":"compute binary expreesion, left_input=1342, right_input=1691, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=1342","layer":3},{"info":"compute unary expreesion, input=1342, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=218","layer":2},{"info":"compute binary expreesion, left_input=900, right_input=218, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":1},{"info":"compute binary expreesion, left_input=19418, right_input=-319, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=39442","layer":0}],"base":7,"result_base":7,"text":"((∂⩏⊆≴∭⊉3566⪥���∭⊉3655)⨳⩥⨓(≴∭⊉3002⨸⪁≴∭⊉4346)⩚⊴⇥(≴∭⊉11321⊾⪯⋞≴∭⊉11122))→⨶⪴(≴∭⊉10323⪔≴∭⊉4360⊉≛↸(∑⇻≧≴∭⊉3134))⨿(⊬↢(≴∭⊉3625⋣⋖≴∭⊉4634))=≴∭⊉222664","reverse_text":"≴∭⊉222664=((∂⩏⊆≴∭⊉3566⪥≴∭⊉3655)⨳⩥⨓(≴∭⊉3002⨸⪁≴∭⊉4346)⩚⊴⇥(≴∭⊉11321⊾⪯⋞≴∭⊉11122))→⨶⪴(≴∭⊉10323⪔≴∭⊉4360⊉≛↸(∑⇻≧≴∭⊉3134))⨿(⊬↢(≴∭⊉3625⋣⋖≴∭⊉4634))","cot":[{"info":"≴∭⊉3566⪥≴∭⊉3655=≴∭⊉40660","layer":3},{"info":"∂⩏⊆≴∭⊉40660=≴∭⊉-153112","layer":2},{"info":"≴∭⊉3002⨸⪁≴∭⊉4346=≴∭⊉21032","layer":3},{"info":"≴∭⊉11321⊾⪯⋞≴∭⊉11122=≴∭⊉21065","layer":3},{"info":"≴∭⊉21032⩚⊴⇥≴∭⊉21065=≴∭⊉-42362","layer":2},{"info":"≴∭⊉-153112⨳⩥⨓≴∭⊉-42362=≴∭⊉110420","layer":1},{"info":"≴∭⊉10323⪔≴∭⊉4360=≴∭⊉1212","layer":3},{"info":"∑⇻≧≴∭⊉3134=≴∭⊉-2325","layer":3},{"info":"≴∭⊉1212⊉≛↸≴∭⊉-2325=≴∭⊉2424","layer":2},{"info":"≴∭⊉3625⋣⋖≴∭⊉4634=≴∭⊉3625","layer":3},{"info":"⊬↢≴∭⊉3625=≴∭⊉431","layer":2},{"info":"≴∭⊉2424⨿≴∭⊉431=≴∭⊉-634","layer":1},{"info":"≴∭⊉110420→⨶⪴≴∭⊉-634=≴∭⊉222664","layer":0}]}
+{"id":731,"expression_no_base_symbol":"⫎≠⋺(⨝⨆(∤$1421$)∌↝$1108$⪟⇏$1099$)","expression":"⫎≠⋺(⨝⨆(∤≴∭⊉4100)∌↝≴∭⊉3142⪟⇏≴∭⊉3130)","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":67,"operation_count":5,"complexity_ratio":13.4,"tree":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"numeric_atoms","value":1421,"base":7}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":1108,"base":7},"right_expr":{"type":"numeric_atoms","value":1099,"base":7}}}}},"used_operators":["LYeZOJ0nQG","bQ67fsrMVf","9Isq31Ruls","k2HlF1dBQh","GODebY97qR"],"dependent_operators":["9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","tifHPKVTfV","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X"],"result":"≴∭⊉-2032","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1421","layer":4},{"info":"compute unary expreesion, input=1421, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":3},{"info":"number node, value=1108","layer":4},{"info":"number node, value=1099","layer":4},{"info":"compute binary expreesion, left_input=1108, right_input=1099, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=9, right_input=-1, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=3","layer":2},{"info":"compute unary expreesion, input=3, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=-206","layer":1},{"info":"compute unary expreesion, input=-206, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=-709","layer":0}],"base":7,"result_base":7,"text":"⫎≠⋺(⨝⨆(∤≴∭⊉4100)∌↝≴∭⊉3142⪟⇏≴∭⊉3130)=≴∭⊉-2032","reverse_text":"≴∭⊉-2032=⫎≠⋺(⨝⨆(∤≴∭⊉4100)∌↝≴∭⊉3142⪟⇏≴∭⊉3130)","cot":[{"info":"∤≴∭⊉4100=≴∭⊉12","layer":3},{"info":"≴∭⊉3142⪟⇏≴∭⊉3130=≴∭⊉-1","layer":3},{"info":"≴∭⊉12∌↝≴∭⊉-1=≴∭⊉3","layer":2},{"info":"⨝⨆≴∭⊉3=≴∭⊉-413","layer":1},{"info":"⫎≠⋺≴∭⊉-413=≴∭⊉-2032","layer":0}]}
+{"id":732,"expression_no_base_symbol":"((∥⊫(⊄⩳↩$1768$))%(≔(⊬↢$5823$)))⩁","expression":"((∥⊫(⊄⩳↩≴∭⊉5104))%(≔(⊬↢≴∭⊉22656)))⩁","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":5940,"operation_count":6,"complexity_ratio":990.0,"tree":{"type":"unary","operator":"⩁","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1768,"base":7}}},"right_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"numeric_atoms","value":5823,"base":7}}}}},"used_operators":["5GqDbVmqXU","k8jYdgA6NY","P8v4zCKN1o","8w2t5hMYqp","8FLs4eVsLt","WPoGxAaPR1"],"dependent_operators":["7j4O788W3g","jLgFTUHLKL","8cLx32lpNA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA"],"result":"≴∭⊉106","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1768","layer":4},{"info":"compute unary expreesion, input=1768, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-5304","layer":3},{"info":"compute unary expreesion, input=-5304, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=-55","layer":2},{"info":"number node, value=5823","layer":4},{"info":"compute unary expreesion, input=5823, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=218","layer":3},{"info":"compute unary expreesion, input=218, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-4810","layer":2},{"info":"compute binary expreesion, left_input=-55, right_input=-4810, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-55","layer":1},{"info":"compute unary expreesion, input=-55, op_id = 5GqDbVmqXU, unary_op_definition = 'a⩁ = { ((↩a)∌(a↺a)) }', output=55","layer":0}],"base":7,"result_base":7,"text":"((∥⊫(⊄⩳↩≴∭⊉5104))%(≔(⊬↢≴∭⊉22656)))⩁=≴∭⊉106","reverse_text":"≴∭⊉106=((∥⊫(⊄⩳↩≴∭⊉5104))%(≔(⊬↢≴∭⊉22656)))⩁","cot":[{"info":"⊄⩳↩≴∭⊉5104=≴∭⊉-21315","layer":3},{"info":"∥⊫≴∭⊉-21315=≴∭⊉-106","layer":2},{"info":"⊬↢≴∭⊉22656=≴∭⊉431","layer":3},{"info":"≔≴∭⊉431=≴∭⊉-20011","layer":2},{"info":"≴∭⊉-106%≴∭⊉-20011=≴∭⊉-106","layer":1},{"info":"≴∭⊉-106⩁=≴∭⊉106","layer":0}]}
+{"id":733,"expression_no_base_symbol":"((↡$5130$↞⋁$7028$)∛≔)⩹(≻⋜(($1368$⪢$3444$)≹⇙⪍($2037$⪛⫼$2643$)))","expression":"((↡≴∭⊉20646↞⋁≴∭⊉26330)∛≔)⩹(≻⋜((≴∭⊉3663⪢≴∭⊉13020)≹⇙⪍(≴∭⊉5640⪛⫼≴∭⊉10464)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":940986,"operation_count":8,"complexity_ratio":117623.25,"tree":{"type":"binary","operator":"⩹","left_expr":{"type":"unary","operator":"∛≔","unary_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":5130,"base":7},"right_expr":{"type":"numeric_atoms","value":7028,"base":7}}}},"right_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1368,"base":7},"right_expr":{"type":"numeric_atoms","value":3444,"base":7}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":2037,"base":7},"right_expr":{"type":"numeric_atoms","value":2643,"base":7}}}}},"used_operators":["2Wsdkap16l","mGnSCrte3L","MXaNJeIAZ3","RqrPlJkxDo","3tj9sqzovi","AHs5Up7iyr","dWAJyo7jo9","hyuBjUqXlG"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","d7ASUq0ydm","OKKcZfAt5B","212REbPD9h","gx7XJ7hdpj","nEsXyWgiOK","oWn0xqSxBt","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","dWAJyo7jo9","k8jYdgA6NY","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=5130","layer":4},{"info":"number node, value=7028","layer":4},{"info":"compute binary expreesion, left_input=5130, right_input=7028, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = mGnSCrte3L, unary_op_definition = 'a∛≔ = { (((⊙↵-a)⋾⨃∁(a⨻⩈⩔a))≝⊿(a⫸⇳(a⫯⪬∳a))) }', output=nan","layer":1},{"info":"number node, value=1368","layer":4},{"info":"number node, value=3444","layer":4},{"info":"compute binary expreesion, left_input=1368, right_input=3444, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=2037","layer":4},{"info":"number node, value=2643","layer":4},{"info":"compute binary expreesion, left_input=2037, right_input=2643, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=968, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((↡≴∭⊉20646↞⋁≴∭⊉26330)∛≔)⩹(≻⋜((≴∭⊉3663⪢≴∭⊉13020)≹⇙⪍(≴∭⊉5640⪛⫼≴∭⊉10464)))=NaN","reverse_text":"NaN=((↡≴∭⊉20646↞⋁≴∭⊉26330)∛≔)⩹(≻⋜((≴∭⊉3663⪢≴∭⊉13020)≹⇙⪍(≴∭⊉5640⪛⫼≴∭⊉10464)))","cot":[{"info":"≴∭⊉20646↞⋁≴∭⊉26330=NaN","layer":3},{"info":"↡NaN=NaN","layer":2},{"info":"NaN∛≔=NaN","layer":1},{"info":"≴∭⊉3663⪢≴∭⊉13020=NaN","layer":3},{"info":"≴∭⊉5640⪛⫼≴∭⊉10464=≴∭⊉2552","layer":3},{"info":"NaN≹⇙⪍≴∭⊉2552=NaN","layer":2},{"info":"≻⋜NaN=NaN","layer":1},{"info":"NaN⩹NaN=NaN","layer":0}]}
+{"id":734,"expression_no_base_symbol":"(≻⋜(⩪∧⨌$1037$≨$3710$))∖((⋣($4089$/$1585$))↛⩡⫤)","expression":"(≻⋜(⩪∧⨌≴∭⊉3011≨≴∭⊉13550))∖((⋣(≴∭⊉14631/≴∭⊉4423))↛⩡⫤)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":600056,"operation_count":7,"complexity_ratio":85722.28571428571,"tree":{"type":"binary","operator":"∖","left_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":1037,"base":7},"right_expr":{"type":"numeric_atoms","value":3710,"base":7}}}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":4089,"base":7},"right_expr":{"type":"numeric_atoms","value":1585,"base":7}}}}},"used_operators":["tXD093vOjl","3tj9sqzovi","6iOiAJX1F8","0KMCeP1Jsh","FU0Cs4j7VP","zQWRhDnn8F","XhwjNDsVaA"],"dependent_operators":["rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","rysDP5nf3Z"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1037","layer":4},{"info":"number node, value=3710","layer":4},{"info":"compute binary expreesion, left_input=1037, right_input=3710, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-7894","layer":3},{"info":"compute unary expreesion, input=-7894, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=-78940","layer":2},{"info":"compute unary expreesion, input=-78940, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":1},{"info":"number node, value=4089","layer":4},{"info":"number node, value=1585","layer":4},{"info":"compute binary expreesion, left_input=4089, right_input=1585, op_id = XhwjNDsVaA binary_op_definition= 'None', output=2","layer":3},{"info":"compute unary expreesion, input=2, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-493","layer":2},{"info":"compute unary expreesion, input=-493, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-66588","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-66588, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":0}],"base":7,"result_base":7,"text":"(≻⋜(⩪∧⨌≴∭⊉3011≨≴∭⊉13550))∖((⋣(≴∭⊉14631/≴∭⊉4423))↛⩡⫤)=≴∭⊉0","reverse_text":"≴∭⊉0=(≻⋜(⩪∧⨌≴∭⊉3011≨≴∭⊉13550))∖((⋣(≴∭⊉14631/≴∭⊉4423))↛⩡⫤)","cot":[{"info":"≴∭⊉3011≨≴∭⊉13550=≴∭⊉-32005","layer":3},{"info":"⩪∧⨌≴∭⊉-32005=≴∭⊉-446101","layer":2},{"info":"≻⋜≴∭⊉-446101=NaN","layer":1},{"info":"≴∭⊉14631/≴∭⊉4423=≴∭⊉2","layer":3},{"info":"⋣≴∭⊉2=≴∭⊉-1303","layer":2},{"info":"≴∭⊉-1303↛⩡⫤=≴∭⊉-365064","layer":1},{"info":"NaN∖≴∭⊉-365064=≴∭⊉0","layer":0}]}
+{"id":735,"expression_no_base_symbol":"(⫇($5665$↪⪝)⋥⋵⩄($3050$⨫⇇↔$4478$))⪝((⨆≐≲$4833$)⪢$3057$⊬⨰$2295$⇼⇔∾(⪹($2729$⫠↝⫳)))","expression":"(⫇(≴∭⊉22342↪⪝)⋥⋵⩄(≴∭⊉11615⨫⇇↔≴∭⊉16025))⪝((⨆≐≲≴∭⊉20043)⪢≴∭⊉11625⊬⨰≴∭⊉6456⇼⇔∾(⪹(≴∭⊉10646⫠↝⫳)))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3156469,"operation_count":11,"complexity_ratio":286951.7272727273,"tree":{"type":"binary","operator":"⪝","left_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":5665,"base":7}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":3050,"base":7},"right_expr":{"type":"numeric_atoms","value":4478,"base":7}}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"numeric_atoms","value":4833,"base":7}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":3057,"base":7},"right_expr":{"type":"numeric_atoms","value":2295,"base":7}}},"right_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"unary","operator":"⫠↝⫳","unary_expr":{"type":"numeric_atoms","value":2729,"base":7}}}}},"used_operators":["wicAB68Tmb","YjI8oCXuph","7t3wd0Fuz7","l07mrZUIn9","LXhwmt4mBO","tifHPKVTfV","dWAJyo7jo9","Bi9z9uYZqW","s3Fd5m9Dh2","USyYr0JgAa","8n5YIzOsVS"],"dependent_operators":["L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","9HNa5Wba9A","2DDjHMKMc0","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","tifHPKVTfV","9FxExcQeMw","g55IO6H4Gj","2td37pGCOC","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5665","layer":4},{"info":"compute unary expreesion, input=5665, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=346596030","layer":3},{"info":"number node, value=3050","layer":4},{"info":"number node, value=4478","layer":4},{"info":"compute binary expreesion, left_input=3050, right_input=4478, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"compute binary expreesion, left_input=346596030, right_input=-527, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=-693188334","layer":2},{"info":"compute unary expreesion, input=-693188334, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-693187388","layer":1},{"info":"number node, value=4833","layer":4},{"info":"compute unary expreesion, input=4833, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=52558872","layer":3},{"info":"number node, value=3057","layer":4},{"info":"number node, value=2295","layer":4},{"info":"compute binary expreesion, left_input=3057, right_input=2295, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=11181","layer":3},{"info":"compute binary expreesion, left_input=52558872, right_input=11181, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"number node, value=2729","layer":4},{"info":"compute unary expreesion, input=2729, op_id = 8n5YIzOsVS, unary_op_definition = 'a⫠↝⫳ = { (((a⨸⪁a)⩷∴(⩦⩻⨪a))⫡⨏a) }', output=87951","layer":3},{"info":"compute unary expreesion, input=87951, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=-87771","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-87771, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-693187388, right_input=nan, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(⫇(≴∭⊉22342↪⪝)⋥⋵⩄(≴∭⊉11615⨫⇇↔≴∭⊉16025))⪝((⨆≐≲≴∭⊉20043)⪢≴∭⊉11625⊬⨰≴∭⊉6456⇼⇔∾(⪹(≴∭⊉10646⫠↝⫳)))=NaN","reverse_text":"NaN=(⫇(≴∭⊉22342↪⪝)⋥⋵⩄(≴∭⊉11615⨫⇇↔≴∭⊉16025))⪝((⨆≐≲≴∭⊉20043)⪢≴∭⊉11625⊬⨰≴∭⊉6456⇼⇔∾(⪹(≴∭⊉10646⫠↝⫳)))","cot":[{"info":"≴∭⊉22342↪⪝=≴∭⊉11406006024","layer":3},{"info":"≴∭⊉11615⨫⇇↔≴∭⊉16025=≴∭⊉-1352","layer":3},{"info":"≴∭⊉11406006024⋥⋵⩄≴∭⊉-1352=≴∭⊉-23115001146","layer":2},{"info":"⫇≴∭⊉-23115001146=≴∭⊉-23114665325","layer":1},{"info":"⨆≐≲≴∭⊉20043=≴∭⊉1205512602","layer":3},{"info":"≴∭⊉11625⊬⨰≴∭⊉6456=≴∭⊉44412","layer":3},{"info":"≴∭⊉1205512602⪢≴∭⊉44412=NaN","layer":2},{"info":"≴∭⊉10646⫠↝⫳=≴∭⊉514263","layer":3},{"info":"⪹≴∭⊉514263=≴∭⊉-513615","layer":2},{"info":"NaN⇼⇔∾≴∭⊉-513615=NaN","layer":1},{"info":"≴∭⊉-23114665325⪝NaN=NaN","layer":0}]}
+{"id":736,"expression_no_base_symbol":"⊵⊁($4418$∌$2351$⪥$4060$⪔⊥$1260$⪭($4937$+⪬∐$6654$≬⋮$4543$≝⊿$1039$))","expression":"⊵⊁(≴∭⊉15611∌≴∭⊉6566⪥≴∭⊉14560⪔⊥≴∭⊉3450⪭(≴∭⊉20252+⪬∐≴∭⊉25254≬⋮≴∭⊉16150≝⊿≴∭⊉3013))","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":97,"operation_count":8,"complexity_ratio":12.125,"tree":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":4418,"base":7},"right_expr":{"type":"numeric_atoms","value":2351,"base":7}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":4060,"base":7},"right_expr":{"type":"numeric_atoms","value":1260,"base":7}}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":4937,"base":7},"right_expr":{"type":"numeric_atoms","value":6654,"base":7}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":4543,"base":7},"right_expr":{"type":"numeric_atoms","value":1039,"base":7}}}}},"used_operators":["AvED76WdY7","j9kHMeSvPp","QbnwKVWMIQ","8cLx32lpNA","HJ9erzHUuu","kbkesczE7y","2GS7woTJqF","OKKcZfAt5B"],"dependent_operators":["uBihLCJcMX","k8jYdgA6NY","COABgblf1C","xUOZtlo3hN","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","g55IO6H4Gj","D4vGDi5EA2","12rbrZMWeM"],"result":"≴∭⊉410056","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4418","layer":4},{"info":"number node, value=2351","layer":4},{"info":"compute binary expreesion, left_input=4418, right_input=2351, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-2351","layer":3},{"info":"number node, value=4060","layer":4},{"info":"number node, value=1260","layer":4},{"info":"compute binary expreesion, left_input=4060, right_input=1260, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=13521","layer":3},{"info":"compute binary expreesion, left_input=-2351, right_input=13521, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=-11964","layer":2},{"info":"number node, value=4937","layer":4},{"info":"number node, value=6654","layer":4},{"info":"compute binary expreesion, left_input=4937, right_input=6654, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-14811","layer":3},{"info":"number node, value=4543","layer":4},{"info":"number node, value=1039","layer":4},{"info":"compute binary expreesion, left_input=4543, right_input=1039, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-7154","layer":3},{"info":"compute binary expreesion, left_input=-14811, right_input=-7154, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":2},{"info":"compute binary expreesion, left_input=-11964, right_input=868, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=11790","layer":1},{"info":"compute unary expreesion, input=11790, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=69670","layer":0}],"base":7,"result_base":7,"text":"⊵⊁(≴∭⊉15611∌≴∭⊉6566⪥≴∭⊉14560⪔⊥≴∭⊉3450⪭(≴∭⊉20252+⪬∐≴∭⊉25254≬⋮≴∭⊉16150≝⊿≴∭⊉3013))=≴∭⊉410056","reverse_text":"≴∭⊉410056=⊵⊁(≴∭⊉15611∌≴∭⊉6566⪥≴∭⊉14560⪔⊥≴∭⊉3450⪭(≴∭⊉20252+⪬∐≴∭⊉25254≬⋮≴∭⊉16150≝⊿≴∭⊉3013))","cot":[{"info":"≴∭⊉15611∌≴∭⊉6566=≴∭⊉-6566","layer":3},{"info":"≴∭⊉14560⪔⊥≴∭⊉3450=≴∭⊉54264","layer":3},{"info":"≴∭⊉-6566⪥≴∭⊉54264=≴∭⊉-46611","layer":2},{"info":"≴∭⊉20252+⪬∐≴∭⊉25254=≴∭⊉-61116","layer":3},{"info":"≴∭⊉16150≝⊿≴∭⊉3013=≴∭⊉-26600","layer":3},{"info":"≴∭⊉-61116≬⋮≴∭⊉-26600=≴∭⊉2350","layer":2},{"info":"≴∭⊉-46611⪭≴∭⊉2350=≴∭⊉46242","layer":1},{"info":"⊵⊁≴∭⊉46242=≴∭⊉410056","layer":0}]}
+{"id":737,"expression_no_base_symbol":"(⩏⊷≩(≅≯⇸$3932$⊹∫⫚$4039$))⫸⊐($1586$⫘$1964$⇀∌)⇤((⇋↷$4889$)⊪)","expression":"(⩏⊷≩(≅≯⇸≴∭⊉14315⊹∫⫚≴∭⊉14530))⫸⊐(≴∭⊉4424⫘≴∭⊉5504⇀∌)⇤((⇋↷≴∭⊉20153)⊪)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":38672,"operation_count":9,"complexity_ratio":4296.888888888889,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":3932,"base":7},"right_expr":{"type":"numeric_atoms","value":4039,"base":7}}}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"unary","operator":"⇀∌","unary_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":1586,"base":7},"right_expr":{"type":"numeric_atoms","value":1964,"base":7}}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"numeric_atoms","value":4889,"base":7}}}}},"used_operators":["mqXw5SEYmG","uOZ1tnYMDE","apS25hmuAe","uWAJUKEvyW","YSKBFp38Pu","2k53nXOpI5","48vC8HMD2b","zVYPLywUTj","SWo3A1KBJH"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","23Mk6UjR3U","12rbrZMWeM","EBcxylXtPf","QMFrweE19q","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","Q3PJZHRvZv","ddLRYrp01A","AcOhelriW5","7t3wd0Fuz7","3tVxb0NHM4","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG"],"result":"≴∭⊉35155","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3932","layer":4},{"info":"number node, value=4039","layer":4},{"info":"compute binary expreesion, left_input=3932, right_input=4039, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-80","layer":3},{"info":"compute unary expreesion, input=-80, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=7357","layer":2},{"info":"compute unary expreesion, input=7357, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=14413","layer":1},{"info":"number node, value=1586","layer":4},{"info":"number node, value=1964","layer":4},{"info":"compute binary expreesion, left_input=1586, right_input=1964, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=1869541","layer":3},{"info":"compute unary expreesion, input=1869541, op_id = 2k53nXOpI5, unary_op_definition = 'a⇀∌ = { ((a⪎↠(⨣⨃⇪a))⋥⋵⩄(a∊∟⩊(⊥a))) }', output=113","layer":2},{"info":"number node, value=4889","layer":4},{"info":"compute unary expreesion, input=4889, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=39112","layer":3},{"info":"compute unary expreesion, input=39112, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=113, right_input=0, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=2283","layer":1},{"info":"compute binary expreesion, left_input=14413, right_input=2283, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=9007","layer":0}],"base":7,"result_base":7,"text":"(⩏⊷≩(≅≯⇸≴∭⊉14315⊹∫⫚≴∭⊉14530))⫸⊐(≴∭⊉4424⫘≴∭⊉5504⇀∌)⇤((⇋↷≴∭⊉20153)⊪)=≴∭⊉35155","reverse_text":"≴∭⊉35155=(⩏⊷≩(≅≯⇸≴∭⊉14315⊹∫⫚≴∭⊉14530))⫸⊐(≴∭⊉4424⫘≴∭⊉5504⇀∌)⇤((⇋↷≴∭⊉20153)⊪)","cot":[{"info":"≴∭⊉14315⊹∫⫚≴∭⊉14530=≴∭⊉-143","layer":3},{"info":"≅≯⇸≴∭⊉-143=≴∭⊉30310","layer":2},{"info":"⩏⊷≩≴∭⊉30310=≴∭⊉60010","layer":1},{"info":"≴∭⊉4424⫘≴∭⊉5504=≴∭⊉21614362","layer":3},{"info":"≴∭⊉21614362⇀∌=≴∭⊉221","layer":2},{"info":"⇋↷≴∭⊉20153=≴∭⊉222013","layer":3},{"info":"≴∭⊉222013⊪=≴∭⊉0","layer":2},{"info":"≴∭⊉221⇤≴∭⊉0=≴∭⊉6441","layer":1},{"info":"≴∭⊉60010⫸⊐≴∭⊉6441=≴∭⊉35155","layer":0}]}
+{"id":738,"expression_no_base_symbol":"≋(($6934$⨲)⋹⋡⊁($2624$∕⩚$1200$)∇⊂⋱(($2833$⫸⊐$1771$)⨻⩈⩔(⨵$1586$)))","expression":"≋((≴∭⊉26134⨲)⋹⋡⊁(≴∭⊉10436∕⩚≴∭⊉3333)∇⊂⋱((≴∭⊉11155⫸⊐≴∭⊉5110)⨻⩈⩔(⨵≴∭⊉4424)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":4430,"operation_count":8,"complexity_ratio":553.75,"tree":{"type":"unary","operator":"≋","unary_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"unary","operator":"⨲","unary_expr":{"type":"numeric_atoms","value":6934,"base":7}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":2624,"base":7},"right_expr":{"type":"numeric_atoms","value":1200,"base":7}}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2833,"base":7},"right_expr":{"type":"numeric_atoms","value":1771,"base":7}},"right_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"numeric_atoms","value":1586,"base":7}}}}},"used_operators":["61wBmkZwlr","nhYeJWJD5X","As8RqfVLgs","nLYMGWM7L8","z9ffQ9n5Zr","nEsXyWgiOK","mqXw5SEYmG","Tl3Y52tvF8"],"dependent_operators":["7j4O788W3g","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","DlLNRPXxWL","WR6HLWljOP","48vC8HMD2b","SUmda5xLS4","wicAB68Tmb","hrf7POJlIJ","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6934","layer":4},{"info":"compute unary expreesion, input=6934, op_id = nLYMGWM7L8, unary_op_definition = 'a⨲ = { ((a↢a)∴(118⪝a)) , if a==152 ; ((a⪄a)⫘(⫛⫱⨽a)) , else }', output=nan","layer":3},{"info":"number node, value=2624","layer":4},{"info":"number node, value=1200","layer":4},{"info":"compute binary expreesion, left_input=2624, right_input=1200, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-2627","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2627, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=nan","layer":2},{"info":"number node, value=2833","layer":4},{"info":"number node, value=1771","layer":4},{"info":"compute binary expreesion, left_input=2833, right_input=1771, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=6959","layer":3},{"info":"number node, value=1586","layer":4},{"info":"compute unary expreesion, input=1586, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=-13897","layer":3},{"info":"compute binary expreesion, left_input=6959, right_input=-13897, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=47271","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=47271, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"≋((≴∭⊉26134⨲)⋹⋡⊁(≴∭⊉10436∕⩚≴∭⊉3333)∇⊂⋱((≴∭⊉11155⫸⊐≴∭⊉5110)⨻⩈⩔(⨵≴∭⊉4424)))=NaN","reverse_text":"NaN=≋((≴∭⊉26134⨲)⋹⋡⊁(≴∭⊉10436∕⩚≴∭⊉3333)∇⊂⋱((≴∭⊉11155⫸⊐≴∭⊉5110)⨻⩈⩔(⨵≴∭⊉4424)))","cot":[{"info":"≴∭⊉26134⨲=NaN","layer":3},{"info":"≴∭⊉10436∕⩚≴∭⊉3333=≴∭⊉-10442","layer":3},{"info":"NaN⋹⋡⊁≴∭⊉-10442=NaN","layer":2},{"info":"≴∭⊉11155⫸⊐≴∭⊉5110=≴∭⊉26201","layer":3},{"info":"⨵≴∭⊉4424=≴∭⊉-55342","layer":3},{"info":"≴∭⊉26201⨻⩈⩔≴∭⊉-55342=≴∭⊉254550","layer":2},{"info":"NaN∇⊂⋱≴∭⊉254550=NaN","layer":1},{"info":"≋NaN=NaN","layer":0}]}
+{"id":739,"expression_no_base_symbol":"(⫇(⇈($6165$⨜⨶$1022$)))≁((⊤⊝$2920$)⪔($1166$⪛⫼$5667$)⪒($3025$⊉↱≁$2188$)⊕∕($3625$∀⇚≩$3699$))","expression":"(⫇(⇈(≴∭⊉23655⨜⨶≴∭⊉2660)))≁((⊤⊝≴∭⊉11341)⪔(≴∭⊉3254⪛⫼≴∭⊉22344)⪒(≴∭⊉11551⊉↱≁≴∭⊉6244)⊕∕(≴∭⊉13366∀⇚≩≴∭⊉13533))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":27756,"operation_count":11,"complexity_ratio":2523.2727272727275,"tree":{"type":"binary","operator":"≁","left_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":6165,"base":7},"right_expr":{"type":"numeric_atoms","value":1022,"base":7}}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"numeric_atoms","value":2920,"base":7}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":1166,"base":7},"right_expr":{"type":"numeric_atoms","value":5667,"base":7}}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":3025,"base":7},"right_expr":{"type":"numeric_atoms","value":2188,"base":7}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3625,"base":7},"right_expr":{"type":"numeric_atoms","value":3699,"base":7}}}}},"used_operators":["8N2wDY1A35","YjI8oCXuph","SLLxy00UIr","HiPekx5b7W","f6k1SAg4EE","GjBEYRfMaF","rXAclfmB4M","hyuBjUqXlG","9cloC0Ngie","w2P8NbNXyL","LRNGc0VcxI"],"dependent_operators":["B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","sdazOOVcIp","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","X99M06cbEe"],"result":"≴∭⊉-4154533","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6165","layer":4},{"info":"number node, value=1022","layer":4},{"info":"compute binary expreesion, left_input=6165, right_input=1022, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-1788","layer":3},{"info":"compute unary expreesion, input=-1788, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":2},{"info":"compute unary expreesion, input=-447, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=499","layer":1},{"info":"number node, value=2920","layer":4},{"info":"compute unary expreesion, input=2920, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=4542","layer":3},{"info":"number node, value=1166","layer":4},{"info":"number node, value=5667","layer":4},{"info":"compute binary expreesion, left_input=1166, right_input=5667, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":3},{"info":"compute binary expreesion, left_input=4542, right_input=968, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":2},{"info":"number node, value=3025","layer":4},{"info":"number node, value=2188","layer":4},{"info":"compute binary expreesion, left_input=3025, right_input=2188, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=17070","layer":3},{"info":"number node, value=3625","layer":4},{"info":"number node, value=3699","layer":4},{"info":"compute binary expreesion, left_input=3625, right_input=3699, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=17070, right_input=nan, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=17070","layer":2},{"info":"compute binary expreesion, left_input=450, right_input=17070, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-17520","layer":1},{"info":"compute binary expreesion, left_input=499, right_input=-17520, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=-501049","layer":0}],"base":7,"result_base":7,"text":"(⫇(⇈(≴∭⊉23655⨜⨶≴∭⊉2660)))≁((⊤⊝≴∭⊉11341)⪔(≴∭⊉3254⪛⫼≴∭⊉22344)⪒(≴∭⊉11551⊉↱≁≴∭⊉6244)⊕∕(≴∭⊉13366∀⇚≩≴∭⊉13533))=≴∭⊉-4154533","reverse_text":"≴∭⊉-4154533=(⫇(⇈(≴∭⊉23655⨜⨶≴∭⊉2660)))≁((⊤⊝≴∭⊉11341)⪔(≴∭⊉3254⪛⫼≴∭⊉22344)⪒(≴∭⊉11551⊉↱≁≴∭⊉6244)⊕∕(≴∭⊉13366∀⇚≩≴∭⊉13533))","cot":[{"info":"≴∭⊉23655⨜⨶≴∭⊉2660=≴∭⊉-5133","layer":3},{"info":"⇈≴∭⊉-5133=≴∭⊉-1206","layer":2},{"info":"⫇≴∭⊉-1206=≴∭⊉1312","layer":1},{"info":"⊤⊝≴∭⊉11341=≴∭⊉16146","layer":3},{"info":"≴∭⊉3254⪛⫼≴∭⊉22344=≴∭⊉2552","layer":3},{"info":"≴∭⊉16146⪔≴∭⊉2552=≴∭⊉1212","layer":2},{"info":"≴∭⊉11551⊉↱≁≴∭⊉6244=≴∭⊉100524","layer":3},{"info":"≴∭⊉13366∀⇚≩≴∭⊉13533=NaN","layer":3},{"info":"≴∭⊉100524⊕∕NaN=≴∭⊉100524","layer":2},{"info":"≴∭⊉1212⪒≴∭⊉100524=≴∭⊉-102036","layer":1},{"info":"≴∭⊉1312≁≴∭⊉-102036=≴∭⊉-4154533","layer":0}]}
+{"id":740,"expression_no_base_symbol":"(($1026$∌↝$4704$+⇶⊼$1042$⨓$1500$)∌($3976$⇍⊗$6579$≬⇓$1925$≥⨤⩑$3385$))≌(($4577$⪨⊡$9002$)⩘($2665$↼⊘⨖$6282$)⪛⫼($1007$⇌⫙⪟$1459$)↳∿⪆($2126$⪘⫢$2489$))","expression":"((≴∭⊉2664∌↝≴∭⊉16500+⇶⊼≴∭⊉3016⨓≴∭⊉4242)∌(≴∭⊉14410⇍⊗≴∭⊉25116≬⇓≴∭⊉5420≥⨤⩑≴∭⊉12604))≌((≴∭⊉16226⪨⊡≴∭⊉35150)⩘(≴∭⊉10525↼⊘⨖≴∭⊉24213)⪛⫼(≴∭⊉2636⇌⫙⪟≴∭⊉4153)↳∿⪆(≴∭⊉6125⪘⫢≴∭⊉10154))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":5233,"operation_count":15,"complexity_ratio":348.8666666666667,"tree":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":1026,"base":7},"right_expr":{"type":"numeric_atoms","value":4704,"base":7}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1042,"base":7},"right_expr":{"type":"numeric_atoms","value":1500,"base":7}}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":3976,"base":7},"right_expr":{"type":"numeric_atoms","value":6579,"base":7}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":1925,"base":7},"right_expr":{"type":"numeric_atoms","value":3385,"base":7}}}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":4577,"base":7},"right_expr":{"type":"numeric_atoms","value":9002,"base":7}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":2665,"base":7},"right_expr":{"type":"numeric_atoms","value":6282,"base":7}}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":1007,"base":7},"right_expr":{"type":"numeric_atoms","value":1459,"base":7}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2126,"base":7},"right_expr":{"type":"numeric_atoms","value":2489,"base":7}}}}},"used_operators":["lyWz822IDG","8cLx32lpNA","TpPTUOHfaN","9Isq31Ruls","3ViojmjbAp","jWTQ2TZYIH","5uvYHDjeKN","gJLn6v0xnP","hyuBjUqXlG","cHh1gJQ2o6","kuIXHzHcAH","bPywburJMS","Cw4SuJJGHO","AFVx7xoS7T","oacrs7FA3X"],"dependent_operators":["B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","AHs5Up7iyr","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1026","layer":4},{"info":"number node, value=4704","layer":4},{"info":"compute binary expreesion, left_input=1026, right_input=4704, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"number node, value=1042","layer":4},{"info":"number node, value=1500","layer":4},{"info":"compute binary expreesion, left_input=1042, right_input=1500, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1503","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-1503, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=3976","layer":4},{"info":"number node, value=6579","layer":4},{"info":"compute binary expreesion, left_input=3976, right_input=6579, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"number node, value=1925","layer":4},{"info":"number node, value=3385","layer":4},{"info":"compute binary expreesion, left_input=1925, right_input=3385, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=-244, right_input=1234, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=624086","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=624086, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-624086","layer":1},{"info":"number node, value=4577","layer":4},{"info":"number node, value=9002","layer":4},{"info":"compute binary expreesion, left_input=4577, right_input=9002, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=2665","layer":4},{"info":"number node, value=6282","layer":4},{"info":"compute binary expreesion, left_input=2665, right_input=6282, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=12342","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=12342, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":2},{"info":"number node, value=1007","layer":4},{"info":"number node, value=1459","layer":4},{"info":"compute binary expreesion, left_input=1007, right_input=1459, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"number node, value=2126","layer":4},{"info":"number node, value=2489","layer":4},{"info":"compute binary expreesion, left_input=2126, right_input=2489, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=4128","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=4128, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-624086, right_input=nan, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉2664∌↝≴∭⊉16500+⇶⊼≴∭⊉3016⨓≴∭⊉4242)∌(≴∭⊉14410⇍⊗≴∭⊉25116≬⇓≴∭⊉5420≥⨤⩑≴∭⊉12604))≌((≴∭⊉16226⪨⊡≴∭⊉35150)⩘(≴∭⊉10525↼⊘⨖≴∭⊉24213)⪛⫼(≴∭⊉2636⇌⫙⪟≴∭⊉4153)↳∿⪆(≴∭⊉6125⪘⫢≴∭⊉10154))=NaN","reverse_text":"NaN=((≴∭⊉2664∌↝≴∭⊉16500+⇶⊼≴∭⊉3016⨓≴∭⊉4242)∌(≴∭⊉14410⇍⊗≴∭⊉25116≬⇓≴∭⊉5420≥⨤⩑≴∭⊉12604))≌((≴∭⊉16226⪨⊡≴∭⊉35150)⩘(≴∭⊉10525↼⊘⨖≴∭⊉24213)⪛⫼(≴∭⊉2636⇌⫙⪟≴∭⊉4153)↳∿⪆(≴∭⊉6125⪘⫢≴∭⊉10154))","cot":[{"info":"≴∭⊉2664∌↝≴∭⊉16500=≴∭⊉0","layer":3},{"info":"≴∭⊉3016⨓≴∭⊉4242=≴∭⊉-4245","layer":3},{"info":"≴∭⊉0+⇶⊼≴∭⊉-4245=NaN","layer":2},{"info":"≴∭⊉14410⇍⊗≴∭⊉25116=≴∭⊉-466","layer":3},{"info":"≴∭⊉5420≥⨤⩑≴∭⊉12604=≴∭⊉3412","layer":3},{"info":"≴∭⊉-466≬⇓≴∭⊉3412=≴∭⊉5206331","layer":2},{"info":"NaN∌≴∭⊉5206331=≴∭⊉-5206331","layer":1},{"info":"≴∭⊉16226⪨⊡≴∭⊉35150=≴∭⊉0","layer":3},{"info":"≴∭⊉10525↼⊘⨖≴∭⊉24213=≴∭⊉50661","layer":3},{"info":"≴∭⊉0⩘≴∭⊉50661=≴∭⊉316","layer":2},{"info":"≴∭⊉2636⇌⫙⪟≴∭⊉4153=≴∭⊉221","layer":3},{"info":"≴∭⊉6125⪘⫢≴∭⊉10154=≴∭⊉15015","layer":3},{"info":"≴∭⊉221↳∿⪆≴∭⊉15015=NaN","layer":2},{"info":"≴∭⊉316⪛⫼NaN=NaN","layer":1},{"info":"≴∭⊉-5206331≌NaN=NaN","layer":0}]}
+{"id":741,"expression_no_base_symbol":"((($3838$⩨$1759$)⊘)⇗⋫)∀⇚≩(($2687$⩌⋺$4904$)⪬(⊿$4454$)∲⫓(⫛⫱⨽$6879$)⇡⇂($1050$⨝⩣∺))","expression":"(((≴∭⊉14122⩨≴∭⊉5062)⊘)⇗⋫)∀⇚≩((≴∭⊉10556⩌⋺≴∭⊉20204)⪬(⊿≴∭⊉15662)∲⫓(⫛⫱⨽≴∭⊉26025)⇡⇂(≴∭⊉3030⨝⩣∺))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":18550,"operation_count":11,"complexity_ratio":1686.3636363636363,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⇗⋫","unary_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3838,"base":7},"right_expr":{"type":"numeric_atoms","value":1759,"base":7}}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":2687,"base":7},"right_expr":{"type":"numeric_atoms","value":4904,"base":7}},"right_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"numeric_atoms","value":4454,"base":7}}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":6879,"base":7}},"right_expr":{"type":"unary","operator":"⨝⩣∺","unary_expr":{"type":"numeric_atoms","value":1050,"base":7}}}}},"used_operators":["LRNGc0VcxI","hpqmaQFPrd","gu96TGCTMs","2DlMacCsIx","i8ToyICDmI","Ez1Nq5fNfI","g7Hmc5v1ko","DO4fhlbJSI","UMwdvZNt44","DlLNRPXxWL","ancx8kZcWl"],"dependent_operators":["X99M06cbEe","rxpJgHHUmx","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","rGHVDoGpnC","DZ8iAZOCBD","t8gj7n24qd"],"result":"≴∭⊉66353003535","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3838","layer":4},{"info":"number node, value=1759","layer":4},{"info":"compute binary expreesion, left_input=3838, right_input=1759, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = hpqmaQFPrd, unary_op_definition = 'a⇗⋫ = { (a≭a) }', output=-22","layer":1},{"info":"number node, value=2687","layer":4},{"info":"number node, value=4904","layer":4},{"info":"compute binary expreesion, left_input=2687, right_input=4904, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-7712","layer":3},{"info":"number node, value=4454","layer":4},{"info":"compute unary expreesion, input=4454, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-18554","layer":3},{"info":"compute binary expreesion, left_input=-7712, right_input=-18554, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"number node, value=6879","layer":4},{"info":"compute unary expreesion, input=6879, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=1050","layer":4},{"info":"compute unary expreesion, input=1050, op_id = ancx8kZcWl, unary_op_definition = 'a⨝⩣∺ = { (-(a⊉≛↸a)) }', output=-2100","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-2100, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=219356","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=219356, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-22, right_input=0, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=1958739501","layer":0}],"base":7,"result_base":7,"text":"(((≴∭⊉14122⩨≴∭⊉5062)⊘)⇗⋫)∀⇚≩((≴∭⊉10556⩌⋺≴∭⊉20204)⪬(⊿≴∭⊉15662)∲⫓(⫛⫱⨽≴∭⊉26025)⇡⇂(≴∭⊉3030⨝⩣∺))=≴∭⊉66353003535","reverse_text":"≴∭⊉66353003535=(((≴∭⊉14122⩨≴∭⊉5062)⊘)⇗⋫)∀⇚≩((≴∭⊉10556⩌⋺≴∭⊉20204)⪬(⊿≴∭⊉15662)∲⫓(⫛⫱⨽≴∭⊉26025)⇡⇂(≴∭⊉3030⨝⩣∺))","cot":[{"info":"≴∭⊉14122⩨≴∭⊉5062=≴∭⊉0","layer":3},{"info":"≴∭⊉0⊘=≴∭⊉0","layer":2},{"info":"≴∭⊉0⇗⋫=≴∭⊉-31","layer":1},{"info":"≴∭⊉10556⩌⋺≴∭⊉20204=≴∭⊉-31325","layer":3},{"info":"⊿≴∭⊉15662=≴∭⊉-105044","layer":3},{"info":"≴∭⊉-31325⪬≴∭⊉-105044=≴∭⊉3412","layer":2},{"info":"⫛⫱⨽≴∭⊉26025=≴∭⊉0","layer":3},{"info":"≴∭⊉3030⨝⩣∺=≴∭⊉-6060","layer":3},{"info":"≴∭⊉0⇡⇂≴∭⊉-6060=≴∭⊉1602344","layer":2},{"info":"≴∭⊉3412∲⫓≴∭⊉1602344=≴∭⊉0","layer":1},{"info":"≴∭⊉-31∀⇚≩≴∭⊉0=≴∭⊉66353003535","layer":0}]}
+{"id":742,"expression_no_base_symbol":"((⩷⨜⫀($1703$⇆⨓≜))⨲)⩒⫫(⋎⨆$2754$)⩣⫁∢(↥$3172$)∛(⊤⊝(⇋⊎⋝$1628$))","expression":"((⩷⨜⫀(≴∭⊉4652⇆⨓≜))⨲)⩒⫫(⋎⨆≴∭⊉11013)⩣⫁∢(↥≴∭⊉12151)∛(⊤⊝(⇋⊎⋝≴∭⊉4514))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":7324,"operation_count":10,"complexity_ratio":732.4,"tree":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"unary","operator":"⨲","unary_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"unary","operator":"⇆⨓≜","unary_expr":{"type":"numeric_atoms","value":1703,"base":7}}}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"numeric_atoms","value":2754,"base":7}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":3172,"base":7}}},"right_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"numeric_atoms","value":1628,"base":7}}}}},"used_operators":["KFSx94NKJn","nLYMGWM7L8","CDi0ktkjQ4","KvvgdUaMHJ","w2537kitQq","JDUIKTTSIa","E64sFOc4tB","A8NUZmVepG","rXAclfmB4M","CzM2PEoXns"],"dependent_operators":["NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","DlLNRPXxWL","WR6HLWljOP","48vC8HMD2b","SUmda5xLS4","wicAB68Tmb","hrf7POJlIJ","ruOEQAzv1W","nhYeJWJD5X","Uaa54Peajs","KYD54nUTWz","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","k8jYdgA6NY","sdazOOVcIp","dWAJyo7jo9"],"result":"≴∭⊉54544151","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1703","layer":4},{"info":"compute unary expreesion, input=1703, op_id = KvvgdUaMHJ, unary_op_definition = 'a⇆⨓≜ = { (∂(a⫥∨⫟a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-134","layer":2},{"info":"compute unary expreesion, input=-134, op_id = nLYMGWM7L8, unary_op_definition = 'a⨲ = { ((a↢a)∴(118⪝a)) , if a==152 ; ((a⪄a)⫘(⫛⫱⨽a)) , else }', output=4683709","layer":1},{"info":"number node, value=2754","layer":4},{"info":"compute unary expreesion, input=2754, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=0","layer":3},{"info":"number node, value=3172","layer":4},{"info":"compute unary expreesion, input=3172, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=10","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=10, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=161","layer":2},{"info":"number node, value=1628","layer":4},{"info":"compute unary expreesion, input=1628, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=161, right_input=nan, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=4683709, right_input=67, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=4683407","layer":0}],"base":7,"result_base":7,"text":"((⩷⨜⫀(≴∭⊉4652⇆⨓≜))⨲)⩒⫫(⋎⨆≴∭⊉11013)⩣⫁∢(↥≴∭⊉12151)∛(⊤⊝(⇋⊎⋝≴∭⊉4514))=≴∭⊉54544151","reverse_text":"≴∭⊉54544151=((⩷⨜⫀(≴∭⊉4652⇆⨓≜))⨲)⩒⫫(⋎⨆≴∭⊉11013)⩣⫁∢(↥≴∭⊉12151)∛(⊤⊝(⇋⊎⋝≴∭⊉4514))","cot":[{"info":"≴∭⊉4652⇆⨓≜=NaN","layer":3},{"info":"⩷⨜⫀NaN=≴∭⊉-251","layer":2},{"info":"≴∭⊉-251⨲=≴∭⊉54545062","layer":1},{"info":"⋎⨆≴∭⊉11013=≴∭⊉0","layer":3},{"info":"↥≴∭⊉12151=≴∭⊉13","layer":3},{"info":"≴∭⊉0⩣⫁∢≴∭⊉13=≴∭⊉320","layer":2},{"info":"⇋⊎⋝≴∭⊉4514=NaN","layer":3},{"info":"⊤⊝NaN=NaN","layer":2},{"info":"≴∭⊉320∛NaN=≴∭⊉124","layer":1},{"info":"≴∭⊉54545062⩒⫫≴∭⊉124=≴∭⊉54544151","layer":0}]}
+{"id":743,"expression_no_base_symbol":"⋗⩴⪓(⪝⪂⫅($3500$+⇶⊼$5615$⫢⨠($5209$⫸⊐$6957$)))","expression":"⋗⩴⪓(⪝⪂⫅(≴∭⊉13130+⇶⊼≴∭⊉22241⫢⨠(≴∭⊉21121⫸⊐≴∭⊉26166)))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":133,"operation_count":5,"complexity_ratio":26.6,"tree":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3500,"base":7},"right_expr":{"type":"numeric_atoms","value":5615,"base":7}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":5209,"base":7},"right_expr":{"type":"numeric_atoms","value":6957,"base":7}}}}},"used_operators":["nOKPl9n5zu","XTarYq4gQB","xlXykHWxX1","TpPTUOHfaN","mqXw5SEYmG"],"dependent_operators":["Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","9HNa5Wba9A","8w2t5hMYqp","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","AHs5Up7iyr","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3500","layer":4},{"info":"number node, value=5615","layer":4},{"info":"compute binary expreesion, left_input=3500, right_input=5615, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=5209","layer":4},{"info":"number node, value=6957","layer":4},{"info":"compute binary expreesion, left_input=5209, right_input=6957, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=27703","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=27703, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"⋗⩴⪓(⪝⪂⫅(≴∭⊉13130+⇶⊼≴∭⊉22241⫢⨠(≴∭⊉21121⫸⊐≴∭⊉26166)))=NaN","reverse_text":"NaN=⋗⩴⪓(⪝⪂⫅(≴∭⊉13130+⇶⊼≴∭⊉22241⫢⨠(≴∭⊉21121⫸⊐≴∭⊉26166)))","cot":[{"info":"≴∭⊉13130+⇶⊼≴∭⊉22241=NaN","layer":3},{"info":"≴∭⊉21121⫸⊐≴∭⊉26166=≴∭⊉143524","layer":3},{"info":"NaN⫢⨠≴∭⊉143524=NaN","layer":2},{"info":"⪝⪂⫅NaN=NaN","layer":1},{"info":"⋗⩴⪓NaN=NaN","layer":0}]}
+{"id":744,"expression_no_base_symbol":"((($3249$⫥∨⫟$6446$)∈)⫠↝⫳)∝((⇺⋃($2857$⪉⨛$2158$))⊉≛↸$8534$⪬$4269$⪢(∑⇻≧$5897$))","expression":"(((≴∭⊉12321⫥∨⫟≴∭⊉24536)∈)⫠↝⫳)∝((⇺⋃(≴∭⊉11221⪉⨛≴∭⊉6202))⊉≛↸≴∭⊉33611⪬≴∭⊉15306⪢(∑⇻≧≴∭⊉23123))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2498,"operation_count":10,"complexity_ratio":249.8,"tree":{"type":"binary","operator":"∝","left_expr":{"type":"unary","operator":"⫠↝⫳","unary_expr":{"type":"unary","operator":"∈","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":3249,"base":7},"right_expr":{"type":"numeric_atoms","value":6446,"base":7}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":2857,"base":7},"right_expr":{"type":"numeric_atoms","value":2158,"base":7}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":8534,"base":7},"right_expr":{"type":"numeric_atoms","value":4269,"base":7}},"right_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"numeric_atoms","value":5897,"base":7}}}}},"used_operators":["cTDWOvIxvz","8n5YIzOsVS","ztP7wcbY7m","KYD54nUTWz","DZ8iAZOCBD","E5v5B3UAjG","EWw2JM7wp4","dWAJyo7jo9","Ez1Nq5fNfI","l1M9WJ3V7u"],"dependent_operators":["7j4O788W3g","W4YGzv6Whe","COABgblf1C","9FxExcQeMw","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","rysDP5nf3Z","XPYlsWDdGa","8w2t5hMYqp","f6k1SAg4EE","14qkJME0vr","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","k8jYdgA6NY","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=3249","layer":4},{"info":"number node, value=6446","layer":4},{"info":"compute binary expreesion, left_input=3249, right_input=6446, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = ztP7wcbY7m, unary_op_definition = 'a∈ = { ((⊄⩳↩250)-(a⊦⊿)) , if ((⪲⇎a)>320 or (a⪒777)>25 or a!=39) ; a , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 8n5YIzOsVS, unary_op_definition = 'a⫠↝⫳ = { (((a⨸⪁a)⩷∴(⩦⩻⨪a))⫡⨏a) }', output=nan","layer":1},{"info":"number node, value=2857","layer":4},{"info":"number node, value=2158","layer":4},{"info":"compute binary expreesion, left_input=2857, right_input=2158, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=6628","layer":3},{"info":"compute unary expreesion, input=6628, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":2},{"info":"number node, value=8534","layer":4},{"info":"number node, value=4269","layer":4},{"info":"compute binary expreesion, left_input=8534, right_input=4269, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"number node, value=5897","layer":4},{"info":"compute unary expreesion, input=5897, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=-852, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(((≴∭⊉12321⫥∨⫟≴∭⊉24536)∈)⫠↝⫳)∝((⇺⋃(≴∭⊉11221⪉⨛≴∭⊉6202))⊉≛↸≴∭⊉33611⪬≴∭⊉15306⪢(∑⇻≧≴∭⊉23123))=NaN","reverse_text":"NaN=(((≴∭⊉12321⫥∨⫟≴∭⊉24536)∈)⫠↝⫳)∝((⇺⋃(≴∭⊉11221⪉⨛≴∭⊉6202))⊉≛↸≴∭⊉33611⪬≴∭⊉15306⪢(∑⇻≧≴∭⊉23123))","cot":[{"info":"≴∭⊉12321⫥∨⫟≴∭⊉24536=NaN","layer":3},{"info":"NaN∈=NaN","layer":2},{"info":"NaN⫠↝⫳=NaN","layer":1},{"info":"≴∭⊉11221⪉⨛≴∭⊉6202=≴∭⊉25216","layer":3},{"info":"⇺⋃≴∭⊉25216=NaN","layer":2},{"info":"≴∭⊉33611⪬≴∭⊉15306=≴∭⊉3412","layer":3},{"info":"∑⇻≧≴∭⊉23123=≴∭⊉-2325","layer":3},{"info":"≴∭⊉3412⪢≴∭⊉-2325=NaN","layer":2},{"info":"NaN⊉≛↸NaN=NaN","layer":1},{"info":"NaN∝NaN=NaN","layer":0}]}
+{"id":745,"expression_no_base_symbol":"((↯⪼($1184$↬$1339$))⊨$2007$↹⊜$1035$+⪬∐($1953$⊲⩕⊾$7447$))≧⫂∧($1367$+⪬∐$5189$)⨿($4851$⩇∃⫛$3003$)⋾⨃∁($2692$⩨$1158$)⨥⫆($4514$≚⊃≕$1516$)","expression":"((↯⪼(≴∭⊉3311↬≴∭⊉3622))⊨≴∭⊉5565↹⊜≴∭⊉3006+⪬∐(≴∭⊉5460⊲⩕⊾≴∭⊉30466))≧⫂∧(≴∭⊉3662+⪬∐≴∭⊉21062)⨿(≴∭⊉20100⩇∃⫛≴∭⊉11520)⋾⨃∁(≴∭⊉10564⩨≴∭⊉3243)⨥⫆(≴∭⊉16106≚⊃≕≴∭⊉4264)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":12875,"operation_count":14,"complexity_ratio":919.6428571428571,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1184,"base":7},"right_expr":{"type":"numeric_atoms","value":1339,"base":7}}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":2007,"base":7},"right_expr":{"type":"numeric_atoms","value":1035,"base":7}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":1953,"base":7},"right_expr":{"type":"numeric_atoms","value":7447,"base":7}}}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":1367,"base":7},"right_expr":{"type":"numeric_atoms","value":5189,"base":7}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":4851,"base":7},"right_expr":{"type":"numeric_atoms","value":3003,"base":7}}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2692,"base":7},"right_expr":{"type":"numeric_atoms","value":1158,"base":7}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":4514,"base":7},"right_expr":{"type":"numeric_atoms","value":1516,"base":7}}}}},"used_operators":["Ph9nP6C5qx","vg4gO5BX6G","8jW3W4yZS5","B5M0gjZbta","2GS7woTJqF","9bazX3JMtO","DmTXOeWf9t","212REbPD9h","abYXlopdE0","1aApVXNlOP","yXekIHxTD4","2DlMacCsIx","Bmrmz2XGnR"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rGHVDoGpnC","g55IO6H4Gj","D4vGDi5EA2","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q"],"result":"≴∭⊉-1440","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1184","layer":4},{"info":"number node, value=1339","layer":4},{"info":"compute binary expreesion, left_input=1184, right_input=1339, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":2},{"info":"number node, value=2007","layer":4},{"info":"number node, value=1035","layer":4},{"info":"compute binary expreesion, left_input=2007, right_input=1035, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-222","layer":3},{"info":"number node, value=1953","layer":4},{"info":"number node, value=7447","layer":4},{"info":"compute binary expreesion, left_input=1953, right_input=7447, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-102348","layer":3},{"info":"compute binary expreesion, left_input=-222, right_input=-102348, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=666","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=666, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=-174","layer":1},{"info":"number node, value=1367","layer":4},{"info":"number node, value=5189","layer":4},{"info":"compute binary expreesion, left_input=1367, right_input=5189, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-4101","layer":3},{"info":"number node, value=4851","layer":4},{"info":"number node, value=3003","layer":4},{"info":"compute binary expreesion, left_input=4851, right_input=3003, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=-1375","layer":3},{"info":"compute binary expreesion, left_input=-4101, right_input=-1375, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=67","layer":2},{"info":"number node, value=2692","layer":4},{"info":"number node, value=1158","layer":4},{"info":"compute binary expreesion, left_input=2692, right_input=1158, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=4514","layer":4},{"info":"number node, value=1516","layer":4},{"info":"compute binary expreesion, left_input=4514, right_input=1516, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=67, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=0, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=-94","layer":1},{"info":"compute binary expreesion, left_input=-174, right_input=-94, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-567","layer":0}],"base":7,"result_base":7,"text":"((↯⪼(≴∭⊉3311↬≴∭⊉3622))⊨≴∭⊉5565↹⊜≴∭⊉3006+⪬∐(≴∭⊉5460⊲⩕⊾≴∭⊉30466))≧⫂∧(≴∭⊉3662+⪬∐≴∭⊉21062)⨿(≴∭⊉20100⩇∃⫛≴∭⊉11520)⋾⨃∁(≴∭⊉10564⩨≴∭⊉3243)⨥⫆(≴∭⊉16106≚⊃≕≴∭⊉4264)=≴∭⊉-1440","reverse_text":"≴∭⊉-1440=((↯⪼(≴∭⊉3311↬≴∭⊉3622))⊨≴∭⊉5565↹⊜≴∭⊉3006+⪬∐(≴∭⊉5460⊲⩕⊾≴∭⊉30466))≧⫂∧(≴∭⊉3662+⪬∐≴∭⊉21062)⨿(≴∭⊉20100⩇∃⫛≴∭⊉11520)⋾⨃∁(≴∭⊉10564⩨≴∭⊉3243)⨥⫆(≴∭⊉16106≚⊃≕≴∭⊉4264)","cot":[{"info":"≴∭⊉3311↬≴∭⊉3622=NaN","layer":3},{"info":"↯⪼NaN=≴∭⊉-30","layer":2},{"info":"≴∭⊉5565↹⊜≴∭⊉3006=≴∭⊉-435","layer":3},{"info":"≴∭⊉5460⊲⩕⊾≴∭⊉30466=≴∭⊉-604251","layer":3},{"info":"≴∭⊉-435+⪬∐≴∭⊉-604251=≴∭⊉1641","layer":2},{"info":"≴∭⊉-30⊨≴∭⊉1641=≴∭⊉-336","layer":1},{"info":"≴∭⊉3662+⪬∐≴∭⊉21062=≴∭⊉-14646","layer":3},{"info":"≴∭⊉20100⩇∃⫛≴∭⊉11520=≴∭⊉-4003","layer":3},{"info":"≴∭⊉-14646⨿≴∭⊉-4003=≴∭⊉124","layer":2},{"info":"≴∭⊉10564⩨≴∭⊉3243=≴∭⊉0","layer":3},{"info":"≴∭⊉16106≚⊃≕≴∭⊉4264=≴∭⊉124","layer":3},{"info":"≴∭⊉0⨥⫆≴∭⊉124=≴∭⊉0","layer":2},{"info":"≴∭⊉124⋾⨃∁≴∭⊉0=≴∭⊉-163","layer":1},{"info":"≴∭⊉-336≧⫂∧≴∭⊉-163=≴∭⊉-1440","layer":0}]}
+{"id":746,"expression_no_base_symbol":"⇾⩊⇾((($1042$⊝⪿⪼$3728$)⫲⨊)⫔⩽⩺((⊿$1042$)∲⫓$2273$⨻⩈⩔$2873$))","expression":"⇾⩊⇾(((≴∭⊉3016⊝⪿⪼≴∭⊉13604)⫲⨊)⫔⩽⩺((⊿≴∭⊉3016)∲⫓≴∭⊉6425⨻⩈⩔≴∭⊉11243))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":513812,"operation_count":7,"complexity_ratio":73401.71428571429,"tree":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"unary","operator":"⫲⨊","unary_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":1042,"base":7},"right_expr":{"type":"numeric_atoms","value":3728,"base":7}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"numeric_atoms","value":1042,"base":7}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":2273,"base":7},"right_expr":{"type":"numeric_atoms","value":2873,"base":7}}}}},"used_operators":["bx9Z9DAK5y","i9eR4S00cU","CArV6hThFE","3Oe9XWJUTD","i8ToyICDmI","DO4fhlbJSI","nEsXyWgiOK"],"dependent_operators":["W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","Tw270M8GLb","fu6greOZ01","WmT3o8z6ya","uFcxV4UQCh","2DDjHMKMc0","B3sABdIn96","X99M06cbEe","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1042","layer":4},{"info":"number node, value=3728","layer":4},{"info":"compute binary expreesion, left_input=1042, right_input=3728, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=25562","layer":3},{"info":"compute unary expreesion, input=25562, op_id = CArV6hThFE, unary_op_definition = 'a⫲⨊ = { ((332≫≃)⪹) , if a==35 ; ((a⋘⨑⨽)⋝⋈⪟(a⪛290)) , else }', output=128593","layer":2},{"info":"number node, value=1042","layer":4},{"info":"compute unary expreesion, input=1042, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-4906","layer":3},{"info":"number node, value=2273","layer":4},{"info":"number node, value=2873","layer":4},{"info":"compute binary expreesion, left_input=2273, right_input=2873, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=9783","layer":3},{"info":"compute binary expreesion, left_input=-4906, right_input=9783, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=128593, right_input=0, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"⇾⩊⇾(((≴∭⊉3016⊝⪿⪼≴∭⊉13604)⫲⨊)⫔⩽⩺((⊿≴∭⊉3016)∲⫓≴∭⊉6425⨻⩈⩔≴∭⊉11243))=NaN","reverse_text":"NaN=⇾⩊⇾(((≴∭⊉3016⊝⪿⪼≴∭⊉13604)⫲⨊)⫔⩽⩺((⊿≴∭⊉3016)∲⫓≴∭⊉6425⨻⩈⩔≴∭⊉11243))","cot":[{"info":"≴∭⊉3016⊝⪿⪼≴∭⊉13604=≴∭⊉134345","layer":3},{"info":"≴∭⊉134345⫲⨊=≴∭⊉1043623","layer":2},{"info":"⊿≴∭⊉3016=≴∭⊉-20206","layer":3},{"info":"≴∭⊉6425⨻⩈⩔≴∭⊉11243=≴∭⊉40344","layer":3},{"info":"≴∭⊉-20206∲⫓≴∭⊉40344=≴∭⊉0","layer":2},{"info":"≴∭⊉1043623⫔⩽⩺≴∭⊉0=NaN","layer":1},{"info":"⇾⩊⇾NaN=NaN","layer":0}]}
+{"id":747,"expression_no_base_symbol":"(≅≯⇸(⇤←$1647$))⩁⩘(⨴⫝$1457$)⫘($4259$⊍⩺⋍$2886$)⇼⇔∾(⇤←$4392$)⪡$4928$⋕⪉⪜$3707$≥⨤⩑(⫖→($6307$⩹$5972$))","expression":"(≅≯⇸(⇤←≴∭⊉4542))⩁⩘(⨴⫝≴∭⊉4151)⫘(≴∭⊉15263⊍⩺⋍≴∭⊉11262)⇼⇔∾(⇤←≴∭⊉15543)⪡≴∭⊉20240⋕⪉⪜≴∭⊉13544≥⨤⩑(⫖→(≴∭⊉24250⩹≴∭⊉23261))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":8454,"operation_count":13,"complexity_ratio":650.3076923076923,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"numeric_atoms","value":1647,"base":7}}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"numeric_atoms","value":1457,"base":7}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":4259,"base":7},"right_expr":{"type":"numeric_atoms","value":2886,"base":7}}}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"numeric_atoms","value":4392,"base":7}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":4928,"base":7},"right_expr":{"type":"numeric_atoms","value":3707,"base":7}}},"right_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":6307,"base":7},"right_expr":{"type":"numeric_atoms","value":5972,"base":7}}}}},"used_operators":["tifHPKVTfV","gub5Cegaqo","apS25hmuAe","jfAgQ2OQeM","48vC8HMD2b","SVb2v531z1","OXDGMFPWZM","gJLn6v0xnP","oraRL2iQuh","z6LnFrNh4i","U4ylXWHChL","2Wsdkap16l"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","DpFCA1CohY","IWmyXbctLI","EBcxylXtPf","QMFrweE19q","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1647","layer":4},{"info":"compute unary expreesion, input=1647, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=-6869","layer":3},{"info":"compute unary expreesion, input=-6869, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=-19799","layer":2},{"info":"number node, value=1457","layer":4},{"info":"compute unary expreesion, input=1457, op_id = SVb2v531z1, unary_op_definition = '⨴⫝a = { ((⪨⨬(⇋↷a))≬⇓((a⋅⇍a)⨑≵⋬(∡178))) , if (a⪇≇⋚963)!=62 ; (((541⋛107)⩼⇪↪(⪭⩑⪱a))⋻⩜⩜((a⊕∕a)∼(459⨽6))) , else }', output=2828198","layer":3},{"info":"number node, value=4259","layer":4},{"info":"number node, value=2886","layer":4},{"info":"compute binary expreesion, left_input=4259, right_input=2886, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2828198, right_input=nan, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-19799, right_input=nan, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=nan","layer":1},{"info":"number node, value=4392","layer":4},{"info":"compute unary expreesion, input=4392, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=-20594","layer":3},{"info":"number node, value=4928","layer":4},{"info":"number node, value=3707","layer":4},{"info":"compute binary expreesion, left_input=4928, right_input=3707, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":3},{"info":"compute binary expreesion, left_input=-20594, right_input=2802, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=42156","layer":2},{"info":"number node, value=6307","layer":4},{"info":"number node, value=5972","layer":4},{"info":"compute binary expreesion, left_input=6307, right_input=5972, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=5970","layer":3},{"info":"compute unary expreesion, input=5970, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":2},{"info":"compute binary expreesion, left_input=42156, right_input=177, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1234, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≅≯⇸(⇤←≴∭⊉4542))⩁⩘(⨴⫝≴∭⊉4151)⫘(≴∭⊉15263⊍⩺⋍≴∭⊉11262)⇼⇔∾(⇤←≴∭⊉15543)⪡≴∭⊉20240⋕⪉⪜≴∭⊉13544≥⨤⩑(⫖→(≴∭⊉24250⩹≴∭⊉23261))=NaN","reverse_text":"NaN=(≅≯⇸(⇤←≴∭⊉4542))⩁⩘(⨴⫝≴∭⊉4151)⫘(≴∭⊉15263⊍⩺⋍≴∭⊉11262)⇼⇔∾(⇤←≴∭⊉15543)⪡≴∭⊉20240⋕⪉⪜≴∭⊉13544≥⨤⩑(⫖→(≴∭⊉24250⩹≴∭⊉23261))","cot":[{"info":"⇤←≴∭⊉4542=≴∭⊉-26012","layer":3},{"info":"≅≯⇸≴∭⊉-26012=≴∭⊉-111503","layer":2},{"info":"⨴⫝≴∭⊉4151=≴∭⊉33016322","layer":3},{"info":"≴∭⊉15263⊍⩺⋍≴∭⊉11262=NaN","layer":3},{"info":"≴∭⊉33016322⫘NaN=NaN","layer":2},{"info":"≴∭⊉-111503⩁⩘NaN=NaN","layer":1},{"info":"⇤←≴∭⊉15543=≴∭⊉-114020","layer":3},{"info":"≴∭⊉20240⋕⪉⪜≴∭⊉13544=≴∭⊉11112","layer":3},{"info":"≴∭⊉-114020⪡≴∭⊉11112=≴∭⊉233622","layer":2},{"info":"≴∭⊉24250⩹≴∭⊉23261=≴∭⊉23256","layer":3},{"info":"⫖→≴∭⊉23256=≴∭⊉342","layer":2},{"info":"≴∭⊉233622≥⨤⩑≴∭⊉342=≴∭⊉3412","layer":1},{"info":"NaN⇼⇔∾≴∭⊉3412=NaN","layer":0}]}
+{"id":748,"expression_no_base_symbol":"((⊽($2179$⩠))⨓(≀↧⇸($1995$⇴∐$3080$)))⪘⫢(∓⪦($1942$⨔≚≋$6003$⨽(↽≂$1432$)))","expression":"((⊽(≴∭⊉6232⩠))⨓(≀↧⇸(≴∭⊉5550⇴∐≴∭⊉11660)))⪘⫢(∓⪦(≴∭⊉5443⨔≚≋≴∭⊉23334⨽(↽≂≴∭⊉4114)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":10036,"operation_count":10,"complexity_ratio":1003.6,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":2179,"base":7}}},"right_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":1995,"base":7},"right_expr":{"type":"numeric_atoms","value":3080,"base":7}}}},"right_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":1942,"base":7},"right_expr":{"type":"numeric_atoms","value":6003,"base":7}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1432,"base":7}}}}},"used_operators":["oacrs7FA3X","3ViojmjbAp","QxG7OkqoLX","sJAwomhLZr","ljTHtUsqzn","HnzytWxmAO","D309nIvmXG","8HhzD0ZcuI","Z57zeUYC9z","u6S6b8DprG"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","XPYlsWDdGa","23Mk6UjR3U","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2179","layer":4},{"info":"compute unary expreesion, input=2179, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=1522","layer":2},{"info":"number node, value=1995","layer":4},{"info":"number node, value=3080","layer":4},{"info":"compute binary expreesion, left_input=1995, right_input=3080, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1522, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":1},{"info":"number node, value=1942","layer":4},{"info":"number node, value=6003","layer":4},{"info":"compute binary expreesion, left_input=1942, right_input=6003, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"number node, value=1432","layer":4},{"info":"compute unary expreesion, input=1432, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-2864","layer":3},{"info":"compute binary expreesion, left_input=9872, right_input=-2864, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-292359246","layer":2},{"info":"compute unary expreesion, input=-292359246, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=-584720138","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-584720138, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((⊽(≴∭⊉6232⩠))⨓(≀↧⇸(≴∭⊉5550⇴∐��∭⊉11660)))⪘⫢(∓⪦(≴∭⊉5443⨔≚≋≴∭⊉23334⨽(↽≂≴∭⊉4114)))=NaN","reverse_text":"NaN=((⊽(≴∭⊉6232⩠))⨓(≀↧⇸(≴∭⊉5550⇴∐≴∭⊉11660)))⪘⫢(∓⪦(≴∭⊉5443⨔≚≋≴∭⊉23334⨽(↽≂≴∭⊉4114)))","cot":[{"info":"≴∭⊉6232⩠=≴∭⊉0","layer":3},{"info":"⊽≴∭⊉0=≴∭⊉4303","layer":2},{"info":"≴∭⊉5550⇴∐≴∭⊉11660=NaN","layer":3},{"info":"≀↧⇸NaN=NaN","layer":2},{"info":"≴∭⊉4303⨓NaN=NaN","layer":1},{"info":"≴∭⊉5443⨔≚≋≴∭⊉23334=≴∭⊉40532","layer":3},{"info":"↽≂≴∭⊉4114=≴∭⊉-11231","layer":3},{"info":"≴∭⊉40532⨽≴∭⊉-11231=≴∭⊉-10150004214","layer":2},{"info":"∓⪦≴∭⊉-10150004214=≴∭⊉-20330016302","layer":1},{"info":"NaN⪘⫢≴∭⊉-20330016302=NaN","layer":0}]}
+{"id":749,"expression_no_base_symbol":"((⨵≀≌$4801$≃$2302$)⇷(↑($2121$⇷$2706$)))↑","expression":"((⨵≀≌≴∭⊉16666≃≴∭⊉6466)⇷(↑(≴∭⊉6120⇷≴∭⊉10614)))↑","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":49026,"operation_count":6,"complexity_ratio":8171.0,"tree":{"type":"unary","operator":"↑","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":4801,"base":7},"right_expr":{"type":"numeric_atoms","value":2302,"base":7}}},"right_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2121,"base":7},"right_expr":{"type":"numeric_atoms","value":2706,"base":7}}}}},"used_operators":["BThhyOhh10","mp7IySMOzn","srAu1WTS94","YbVcJGFEVW","tR7O2zTn5j"],"dependent_operators":["i8ToyICDmI","3EYGwJThht","xNBdhnnwKq","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4801","layer":4},{"info":"number node, value=2302","layer":4},{"info":"compute binary expreesion, left_input=4801, right_input=2302, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-19244","layer":3},{"info":"compute unary expreesion, input=-19244, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=370331536","layer":2},{"info":"number node, value=2121","layer":4},{"info":"number node, value=2706","layer":4},{"info":"compute binary expreesion, left_input=2121, right_input=2706, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=5412","layer":3},{"info":"compute unary expreesion, input=5412, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":2},{"info":"compute binary expreesion, left_input=370331536, right_input=192, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=384","layer":1},{"info":"compute unary expreesion, input=384, op_id = BThhyOhh10, unary_op_definition = 'a↑ = { ((a∲⫓a)⇄(262⊭∹↮)) }', output=0","layer":0}],"base":7,"result_base":7,"text":"((⨵≀≌≴∭⊉16666≃≴∭⊉6466)⇷(↑(≴∭⊉6120⇷≴∭⊉10614)))↑=≴∭⊉0","reverse_text":"≴∭⊉0=((⨵≀≌≴∭⊉16666≃≴∭⊉6466)⇷(↑(≴∭⊉6120⇷≴∭⊉10614)))↑","cot":[{"info":"≴∭⊉16666≃≴∭⊉6466=≴∭⊉-110051","layer":3},{"info":"⨵≀≌≴∭⊉-110051=≴∭⊉12114523531","layer":2},{"info":"≴∭⊉6120⇷≴∭⊉10614=≴∭⊉21531","layer":3},{"info":"↑≴∭⊉21531=≴∭⊉363","layer":2},{"info":"≴∭⊉12114523531⇷≴∭⊉363=≴∭⊉1056","layer":1},{"info":"≴∭⊉1056↑=≴∭⊉0","layer":0}]}
+{"id":750,"expression_no_base_symbol":"(($1157$⨽$4059$)⫲≸⪮(⋠∜$5395$)%(↣≠⋷$2558$)⊍⩺⋍$1247$⊢$1009$)⨐⩸⫘(↥(⊄⩳↩$2101$))⊝⪿⪼($2674$∙⊟$2656$)⪎↠(≱⇩⩕$6778$)","expression":"((≴∭⊉3242⨽≴∭⊉14556)⫲≸⪮(⋠∜≴∭⊉21505)%(↣≠⋷≴∭⊉10313)⊍⩺⋍≴∭⊉3431⊢≴∭⊉2641)⨐⩸⫘(↥(⊄⩳↩≴∭⊉6061))⊝⪿⪼(≴∭⊉10540∙⊟≴∭⊉10513)⪎↠(≱⇩⩕≴∭⊉25522)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4361,"operation_count":14,"complexity_ratio":311.5,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1157,"base":7},"right_expr":{"type":"numeric_atoms","value":4059,"base":7}},"right_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"numeric_atoms","value":5395,"base":7}}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":2558,"base":7}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":1247,"base":7},"right_expr":{"type":"numeric_atoms","value":1009,"base":7}}}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":2101,"base":7}}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":2674,"base":7},"right_expr":{"type":"numeric_atoms","value":2656,"base":7}},"right_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"numeric_atoms","value":6778,"base":7}}}}},"used_operators":["fu6greOZ01","k8jYdgA6NY","P3lXMJvFrc","8HhzD0ZcuI","ZJpFhNJr3x","OXDGMFPWZM","Asc51vEJeQ","5twsqlHp2o","3Oe9XWJUTD","A8NUZmVepG","8w2t5hMYqp","3tVxb0NHM4","SxTAKzQCrw","3DZMoQKiUl"],"dependent_operators":["3ViojmjbAp","rysDP5nf3Z","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","XhwjNDsVaA","AHs5Up7iyr","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1157","layer":4},{"info":"number node, value=4059","layer":4},{"info":"compute binary expreesion, left_input=1157, right_input=4059, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-4026810","layer":3},{"info":"number node, value=5395","layer":4},{"info":"compute unary expreesion, input=5395, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=23864","layer":3},{"info":"compute binary expreesion, left_input=-4026810, right_input=23864, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=nan","layer":2},{"info":"number node, value=2558","layer":4},{"info":"compute unary expreesion, input=2558, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=1247","layer":4},{"info":"number node, value=1009","layer":4},{"info":"compute binary expreesion, left_input=1247, right_input=1009, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-2738","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2738, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=2101","layer":4},{"info":"compute unary expreesion, input=2101, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-6303","layer":3},{"info":"compute unary expreesion, input=-6303, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=21","layer":2},{"info":"number node, value=2674","layer":4},{"info":"number node, value=2656","layer":4},{"info":"compute binary expreesion, left_input=2674, right_input=2656, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=44608","layer":3},{"info":"number node, value=6778","layer":4},{"info":"compute unary expreesion, input=6778, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=44608, right_input=113, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=21, right_input=160, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=9797","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=9797, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐���⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉3242⨽≴∭⊉14556)⫲≸⪮(⋠∜≴∭⊉21505)%(↣≠⋷≴∭⊉10313)⊍⩺⋍≴∭⊉3431⊢≴∭⊉2641)⨐⩸⫘(↥(⊄⩳↩≴∭⊉6061))⊝⪿⪼(≴∭⊉10540∙⊟≴∭⊉10513)⪎↠(≱⇩⩕≴∭⊉25522)=NaN","reverse_text":"NaN=((≴∭⊉3242⨽≴∭⊉14556)⫲≸⪮(⋠∜≴∭⊉21505)%(↣≠⋷≴∭⊉10313)⊍⩺⋍≴∭⊉3431⊢≴∭⊉2641)⨐⩸⫘(↥(⊄⩳↩≴∭⊉6061))⊝⪿⪼(≴∭⊉10540∙⊟≴∭⊉10513)⪎↠(≱⇩⩕≴∭⊉25522)","cot":[{"info":"≴∭⊉3242⨽≴∭⊉14556=≴∭⊉-46140654","layer":3},{"info":"⋠∜≴∭⊉21505=≴∭⊉126401","layer":3},{"info":"≴∭⊉-46140654⫲≸⪮≴∭⊉126401=NaN","layer":2},{"info":"↣≠⋷≴∭⊉10313=NaN","layer":3},{"info":"≴∭⊉3431⊢≴∭⊉2641=≴∭⊉-10661","layer":3},{"info":"NaN⊍⩺⋍≴∭⊉-10661=NaN","layer":2},{"info":"NaN%NaN=NaN","layer":1},{"info":"⊄⩳↩≴∭⊉6061=≴∭⊉-24243","layer":3},{"info":"↥≴∭⊉-24243=≴∭⊉30","layer":2},{"info":"≴∭⊉10540∙⊟≴∭⊉10513=≴∭⊉244024","layer":3},{"info":"≱⇩⩕≴∭⊉25522=≴∭⊉221","layer":3},{"info":"≴∭⊉244024⪎↠≴∭⊉221=≴∭⊉316","layer":2},{"info":"≴∭⊉30⊝⪿⪼≴∭⊉316=≴∭⊉40364","layer":1},{"info":"NaN⨐⩸⫘≴∭⊉40364=NaN","layer":0}]}
+{"id":751,"expression_no_base_symbol":"⨭⩧⫛((≉$2812$∝$2149$)∣($1844$⨂≜$3730$⨐⩸⫘$6948$⨚$3073$))","expression":"⨭⩧⫛((≉≴∭⊉11125∝≴∭⊉6160)∣(≴∭⊉5243⨂≜≴∭⊉13606⨐⩸⫘≴∭⊉26154⨚≴∭⊉11650))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":1975,"operation_count":7,"complexity_ratio":282.14285714285717,"tree":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"binary","operator":"∣","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":2812,"base":7},"right_expr":{"type":"numeric_atoms","value":2149,"base":7}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":1844,"base":7},"right_expr":{"type":"numeric_atoms","value":3730,"base":7}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":6948,"base":7},"right_expr":{"type":"numeric_atoms","value":3073,"base":7}}}}},"used_operators":["g21JL6JxX7","PPChnnnBFF","e1ybzncUwg","cTDWOvIxvz","fu6greOZ01","k1SHOSEABc","nREPSIbpBE"],"dependent_operators":["Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd","7j4O788W3g","W4YGzv6Whe","COABgblf1C","3ViojmjbAp","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","BjRHVeLaeN","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=2812","layer":4},{"info":"number node, value=2149","layer":4},{"info":"compute binary expreesion, left_input=2812, right_input=2149, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=2817","layer":3},{"info":"compute unary expreesion, input=2817, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=3348","layer":2},{"info":"number node, value=1844","layer":4},{"info":"number node, value=3730","layer":4},{"info":"compute binary expreesion, left_input=1844, right_input=3730, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"number node, value=6948","layer":4},{"info":"number node, value=3073","layer":4},{"info":"compute binary expreesion, left_input=6948, right_input=3073, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=2538","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2538, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=3348, right_input=nan, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=3348","layer":1},{"info":"compute unary expreesion, input=3348, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"⨭⩧⫛((≉≴∭⊉11125∝≴∭⊉6160)∣(≴∭⊉5243⨂≜≴∭⊉13606⨐⩸⫘≴∭⊉26154⨚≴∭⊉11650))=NaN","reverse_text":"NaN=⨭⩧⫛((≉≴∭⊉11125∝≴∭⊉6160)∣(≴∭⊉5243⨂≜≴∭⊉13606⨐⩸⫘≴∭⊉26154⨚≴∭⊉11650))","cot":[{"info":"≴∭⊉11125∝≴∭⊉6160=≴∭⊉11133","layer":3},{"info":"≉≴∭��11133=≴∭⊉12522","layer":2},{"info":"≴∭⊉5243⨂≜≴∭⊉13606=NaN","layer":3},{"info":"≴∭⊉26154⨚≴∭⊉11650=≴∭⊉10254","layer":3},{"info":"NaN⨐⩸⫘≴∭⊉10254=NaN","layer":2},{"info":"≴∭⊉12522∣NaN=≴∭⊉12522","layer":1},{"info":"⨭⩧⫛≴∭⊉12522=NaN","layer":0}]}
+{"id":752,"expression_no_base_symbol":"(($1598$∀⇚≩$1437$⨓($4235$⩧⪆$3131$))⪭(($3291$⊨$4035$)⪘⫢($7888$⊭∹↮)))↑","expression":"((≴∭⊉4442∀⇚≩≴∭⊉4122⨓(≴∭⊉15230⩧⪆≴∭⊉12062))⪭((≴∭⊉12411⊨≴∭⊉14523)⪘⫢(≴∭⊉31666⊭∹↮)))↑","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":14364,"operation_count":8,"complexity_ratio":1795.5,"tree":{"type":"unary","operator":"↑","unary_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1598,"base":7},"right_expr":{"type":"numeric_atoms","value":1437,"base":7}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":4235,"base":7},"right_expr":{"type":"numeric_atoms","value":3131,"base":7}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":3291,"base":7},"right_expr":{"type":"numeric_atoms","value":4035,"base":7}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":7888,"base":7}}}}},"used_operators":["BThhyOhh10","j9kHMeSvPp","3ViojmjbAp","LRNGc0VcxI","Ikt5ks8PT7","oacrs7FA3X","vg4gO5BX6G","xNBdhnnwKq"],"dependent_operators":["i8ToyICDmI","3EYGwJThht","xNBdhnnwKq","COABgblf1C","xUOZtlo3hN","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","X99M06cbEe","eewbuw0ToL","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C"],"result":"≴∭⊉435","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1598","layer":4},{"info":"number node, value=1437","layer":4},{"info":"compute binary expreesion, left_input=1598, right_input=1437, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=4235","layer":4},{"info":"number node, value=3131","layer":4},{"info":"compute binary expreesion, left_input=4235, right_input=3131, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-3131","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3131, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3134","layer":2},{"info":"number node, value=3291","layer":4},{"info":"number node, value=4035","layer":4},{"info":"compute binary expreesion, left_input=3291, right_input=4035, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=14195","layer":3},{"info":"number node, value=7888","layer":4},{"info":"compute unary expreesion, input=7888, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=15776","layer":3},{"info":"compute binary expreesion, left_input=14195, right_input=15776, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=28266","layer":2},{"info":"compute binary expreesion, left_input=-3134, right_input=28266, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=2960","layer":1},{"info":"compute unary expreesion, input=2960, op_id = BThhyOhh10, unary_op_definition = 'a↑ = { ((a∲⫓a)⇄(262⊭∹↮)) }', output=222","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉4442∀⇚≩≴∭⊉4122⨓(≴∭⊉15230⩧⪆≴∭⊉12062))⪭((≴∭⊉12411⊨≴∭⊉14523)⪘⫢(≴∭⊉31666⊭∹↮)))↑=≴∭⊉435","reverse_text":"≴∭⊉435=((≴∭⊉4442∀⇚≩≴∭⊉4122⨓(≴∭⊉15230⩧⪆≴∭⊉12062))⪭((≴∭⊉12411⊨≴∭⊉14523)⪘⫢(≴∭⊉31666⊭∹↮)))↑","cot":[{"info":"≴∭⊉4442∀⇚≩≴∭⊉4122=NaN","layer":3},{"info":"≴∭⊉15230⩧⪆≴∭⊉12062=≴∭⊉-12062","layer":3},{"info":"NaN⨓≴∭⊉-12062=≴∭⊉-12065","layer":2},{"info":"≴∭⊉12411⊨≴∭⊉14523=≴∭⊉56246","layer":3},{"info":"≴∭⊉31666⊭∹↮=≴∭⊉63665","layer":3},{"info":"≴∭⊉56246⪘⫢≴∭⊉63665=≴∭⊉145260","layer":2},{"info":"≴∭⊉-12065⪭≴∭⊉145260=≴∭⊉11426","layer":1},{"info":"≴∭⊉11426↑=≴∭⊉435","layer":0}]}
+{"id":753,"expression_no_base_symbol":"(∐⩳⋚($1156$⫏⊷))���((-$2348$)⨸⪁$1184$⨎$4608$)*(⇐((⋎⨆$6356$)∕⩚($1862$⋹)))","expression":"(∐⩳⋚(≴∭⊉3241⫏⊷))⪔((-≴∭⊉6563)⨸⪁≴∭⊉3311⨎≴∭⊉16302)*(⇐((⋎⨆≴∭⊉24350)∕⩚(≴∭⊉5300⋹)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":9051,"operation_count":11,"complexity_ratio":822.8181818181819,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"unary","operator":"⫏⊷","unary_expr":{"type":"numeric_atoms","value":1156,"base":7}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":2348,"base":7}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1184,"base":7},"right_expr":{"type":"numeric_atoms","value":4608,"base":7}}}},"right_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"numeric_atoms","value":6356,"base":7}},"right_expr":{"type":"unary","operator":"⋹","unary_expr":{"type":"numeric_atoms","value":1862,"base":7}}}}},"used_operators":["9HNa5Wba9A","GjBEYRfMaF","SL6IHkK8vl","dcShxvzhyw","g55IO6H4Gj","t8gj7n24qd","rJVOvQCfKK","nmZMaaE0Q9","z9ffQ9n5Zr","E64sFOc4tB","opAxDRczMr"],"dependent_operators":["W4YGzv6Whe","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","FU0Cs4j7VP","7YooWSwCyH","HK0tfVPux8","W4YGzv6Whe","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","13rbtpv6ld","mp7IySMOzn","z63VuFQld9","aN9a90urxU","27wFxooxGf","SVb2v531z1","eewbuw0ToL"],"result":"≴∭⊉-4406226","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1156","layer":4},{"info":"compute unary expreesion, input=1156, op_id = dcShxvzhyw, unary_op_definition = 'a⫏⊷ = { ((224∪⫐a)⊾⪯⋞(a↛⩡⫤)) }', output=-820","layer":3},{"info":"compute unary expreesion, input=-820, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=-273738","layer":2},{"info":"number node, value=2348","layer":4},{"info":"compute unary expreesion, input=2348, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-2348","layer":3},{"info":"number node, value=1184","layer":4},{"info":"number node, value=4608","layer":4},{"info":"compute binary expreesion, left_input=1184, right_input=4608, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4608","layer":3},{"info":"compute binary expreesion, left_input=-2348, right_input=4608, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=4520","layer":2},{"info":"compute binary expreesion, left_input=-273738, right_input=4520, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":1},{"info":"number node, value=6356","layer":4},{"info":"compute unary expreesion, input=6356, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=0","layer":3},{"info":"number node, value=1862","layer":4},{"info":"compute unary expreesion, input=1862, op_id = opAxDRczMr, unary_op_definition = 'a⋹ = { ((⨴⫝a)⇷(a↤⩊a)) , if (a≃⋄)<20 or (⊢≑≆a)<=20 ; ((a⨰a)∧) , else }', output=-20","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-20, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":2},{"info":"compute unary expreesion, input=-487, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=-1200","layer":1},{"info":"compute binary expreesion, left_input=450, right_input=-1200, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-540000","layer":0}],"base":7,"result_base":7,"text":"(∐⩳⋚(≴∭⊉3241⫏⊷))⪔((-≴∭⊉6563)⨸⪁≴∭⊉3311⨎≴∭⊉16302)*(⇐((⋎⨆≴∭⊉24350)∕⩚(≴∭⊉5300⋹)))=≴∭⊉-4406226","reverse_text":"≴∭⊉-4406226=(∐⩳⋚(≴∭⊉3241⫏⊷))⪔((-≴∭⊉6563)⨸⪁≴∭⊉3311⨎≴∭⊉16302)*(⇐((⋎⨆≴∭⊉24350)∕⩚(≴∭⊉5300⋹)))","cot":[{"info":"≴∭⊉3241⫏⊷=≴∭⊉-2251","layer":3},{"info":"∐⩳⋚≴∭⊉-2251=≴∭⊉-2220033","layer":2},{"info":"-≴∭⊉6563=≴∭⊉-6563","layer":3},{"info":"≴∭⊉3311⨎≴∭⊉16302=≴∭⊉16302","layer":3},{"info":"≴∭⊉-6563⨸⪁��∭⊉16302=≴∭⊉16115","layer":2},{"info":"≴∭⊉-2220033⪔≴∭⊉16115=≴∭⊉1212","layer":1},{"info":"⋎⨆≴∭⊉24350=≴∭⊉0","layer":3},{"info":"≴∭⊉5300⋹=≴∭⊉-26","layer":3},{"info":"≴∭⊉0∕⩚≴∭⊉-26=≴∭⊉-1264","layer":2},{"info":"⇐≴∭⊉-1264=≴∭⊉-3333","layer":1},{"info":"≴∭⊉1212*≴∭⊉-3333=≴∭⊉-4406226","layer":0}]}
+{"id":754,"expression_no_base_symbol":"($1605$∘$2161$⨁⊸⫻)≨(($5011$⊠≄⫣)⪶≀⋏($1734$⩨$1479$))≳⇉(⫇($2218$⊲⩕⊾$5771$)+⪬∐(⩷$5241$))","expression":"(≴∭⊉4452∘≴∭⊉6205⨁⊸⫻)≨((≴∭⊉20416⊠≄⫣)⪶≀⋏(≴∭⊉5025⩨≴∭⊉4212))≳⇉(⫇(≴∭⊉6316⊲⩕⊾≴∭⊉22553)+⪬∐(⩷≴∭⊉21165))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1075732,"operation_count":11,"complexity_ratio":97793.81818181818,"tree":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":1605,"base":7},"right_expr":{"type":"numeric_atoms","value":2161,"base":7}}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":5011,"base":7}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1734,"base":7},"right_expr":{"type":"numeric_atoms","value":1479,"base":7}}}},"right_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":2218,"base":7},"right_expr":{"type":"numeric_atoms","value":5771,"base":7}},"right_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"numeric_atoms","value":5241,"base":7}}}}},"used_operators":["V0kx6qeWkN","0KMCeP1Jsh","glklzrTFfD","Z5m6OM72h2","zR4jO40bMj","DIvbN7qnHd","2DlMacCsIx","YjI8oCXuph","2GS7woTJqF","DmTXOeWf9t","1h0rLqGiFr"],"dependent_operators":["KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","W4YGzv6Whe","rysDP5nf3Z","eH2TOUuTDT","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","g55IO6H4Gj","D4vGDi5EA2","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","14qkJME0vr","g55IO6H4Gj","7j4O788W3g"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1605","layer":4},{"info":"number node, value=2161","layer":4},{"info":"compute binary expreesion, left_input=1605, right_input=2161, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=3210","layer":3},{"info":"compute unary expreesion, input=3210, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=3210","layer":2},{"info":"number node, value=5011","layer":4},{"info":"compute unary expreesion, input=5011, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"number node, value=1734","layer":4},{"info":"number node, value=1479","layer":4},{"info":"compute binary expreesion, left_input=1734, right_input=1479, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=3210, right_input=0, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-29624","layer":1},{"info":"number node, value=2218","layer":4},{"info":"number node, value=5771","layer":4},{"info":"compute binary expreesion, left_input=2218, right_input=5771, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-89828","layer":3},{"info":"number node, value=5241","layer":4},{"info":"compute unary expreesion, input=5241, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-62971","layer":3},{"info":"compute binary expreesion, left_input=-89828, right_input=-62971, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=269484","layer":2},{"info":"compute unary expreesion, input=269484, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-537754","layer":1},{"info":"compute binary expreesion, left_input=-29624, right_input=-537754, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉4452∘≴∭⊉6205⨁⊸⫻)≨((≴∭⊉20416⊠≄⫣)⪶≀⋏(≴∭⊉5025⩨≴∭⊉4212))≳⇉(⫇(≴∭⊉6316⊲⩕⊾≴∭⊉22553)+⪬∐(⩷≴∭⊉21165))=NaN","reverse_text":"NaN=(≴∭⊉4452∘≴∭⊉6205⨁⊸⫻)≨((≴∭⊉20416⊠≄⫣)⪶≀⋏(≴∭⊉5025⩨≴∭⊉4212))≳⇉(⫇(≴∭⊉6316⊲⩕⊾≴∭⊉22553)+⪬∐(⩷≴∭⊉21165))","cot":[{"info":"≴∭⊉4452∘≴∭⊉6205=≴∭⊉12234","layer":3},{"info":"≴∭⊉12234⨁⊸⫻=≴∭⊉12234","layer":2},{"info":"≴∭⊉20416⊠≄⫣=≴∭⊉0","layer":3},{"info":"≴∭⊉5025⩨≴∭⊉4212=≴∭⊉0","layer":3},{"info":"≴∭⊉0⪶≀⋏≴∭⊉0=≴∭⊉0","layer":2},{"info":"≴∭⊉12234≨≴∭⊉0=≴∭⊉-152240","layer":1},{"info":"≴∭⊉6316⊲⩕⊾≴∭⊉22553=≴∭⊉-522614","layer":3},{"info":"⩷≴∭⊉21165=≴∭⊉-351406","layer":3},{"info":"≴∭⊉-522614+⪬∐≴∭⊉-351406=≴∭⊉2201445","layer":2},{"info":"⫇≴∭⊉2201445=≴∭⊉-4366540","layer":1},{"info":"≴∭⊉-152240≳⇉≴∭⊉-4366540=NaN","layer":0}]}
+{"id":755,"expression_no_base_symbol":"(($1111$⊱⇼⊻$1142$)↳≱($2974$∽$4355$)⨫⇇↔((↩$3056$)↡⊰⫅$1088$⫗⊷⫓$4513$))≝⊿(($4232$⩷∴$6397$)⨼⩣($1525$⫉⨲⊜$2525$))∊∟⩊(↩$2595$⪥$2739$)","expression":"((≴∭⊉3145⊱⇼⊻≴∭⊉3221)↳≱(≴∭⊉11446∽≴∭⊉15461)⨫⇇↔((↩≴∭⊉11624)↡⊰⫅≴∭⊉3113⫗⊷⫓≴∭⊉16105))≝⊿((≴∭⊉15224⩷∴≴∭⊉24436)⨼⩣(≴∭⊉4306⫉⨲⊜≴∭⊉10235))∊∟⩊(↩≴∭⊉10365⪥≴∭⊉10662)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3115,"operation_count":14,"complexity_ratio":222.5,"tree":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":1111,"base":7},"right_expr":{"type":"numeric_atoms","value":1142,"base":7}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":2974,"base":7},"right_expr":{"type":"numeric_atoms","value":4355,"base":7}}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":3056,"base":7}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":1088,"base":7},"right_expr":{"type":"numeric_atoms","value":4513,"base":7}}}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":4232,"base":7},"right_expr":{"type":"numeric_atoms","value":6397,"base":7}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":1525,"base":7},"right_expr":{"type":"numeric_atoms","value":2525,"base":7}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":2595,"base":7},"right_expr":{"type":"numeric_atoms","value":2739,"base":7}}}}},"used_operators":["OKKcZfAt5B","LXhwmt4mBO","JwTKLfZU96","FyVja0WsTP","y4ImoPnbV5","VCtxkLNOzz","jLgFTUHLKL","zashukvMKz","ddLRYrp01A","JxwMv5le6e","9FxExcQeMw","WhqkvtTD3t","QbnwKVWMIQ"],"dependent_operators":["12rbrZMWeM","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","NTOWxs364D","QMFrweE19q","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","rysDP5nf3Z","eewbuw0ToL","zVYPLywUTj","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF"],"result":"≴∭⊉1665655","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1111","layer":4},{"info":"number node, value=1142","layer":4},{"info":"compute binary expreesion, left_input=1111, right_input=1142, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"number node, value=2974","layer":4},{"info":"number node, value=4355","layer":4},{"info":"compute binary expreesion, left_input=2974, right_input=4355, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴��b)⫡⨏b) }', output=-27757","layer":3},{"info":"compute binary expreesion, left_input=434, right_input=-27757, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":2},{"info":"number node, value=3056","layer":4},{"info":"compute unary expreesion, input=3056, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-21668","layer":3},{"info":"number node, value=1088","layer":4},{"info":"number node, value=4513","layer":4},{"info":"compute binary expreesion, left_input=1088, right_input=4513, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=-21668, right_input=-134, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":1},{"info":"number node, value=4232","layer":4},{"info":"number node, value=6397","layer":4},{"info":"compute binary expreesion, left_input=4232, right_input=6397, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-4362","layer":3},{"info":"number node, value=1525","layer":4},{"info":"number node, value=2525","layer":4},{"info":"compute binary expreesion, left_input=1525, right_input=2525, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-4362, right_input=0, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":2},{"info":"number node, value=2595","layer":4},{"info":"number node, value=2739","layer":4},{"info":"compute binary expreesion, left_input=2595, right_input=2739, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=15032","layer":3},{"info":"compute unary expreesion, input=15032, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-117476","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-117476, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=-117476","layer":1},{"info":"compute binary expreesion, left_input=-527, right_input=-117476, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=234946","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉3145⊱⇼⊻≴∭⊉3221)↳≱(≴∭⊉11446∽≴∭⊉15461)⨫⇇↔((↩≴∭⊉11624)↡⊰⫅≴∭⊉3113⫗⊷⫓≴∭⊉16105))≝⊿((≴∭⊉15224⩷∴≴∭⊉24436)⨼⩣(≴∭⊉4306⫉⨲⊜≴∭⊉10235))∊∟⩊(↩≴∭⊉10365⪥≴∭⊉10662)=≴∭⊉1665655","reverse_text":"≴∭⊉1665655=((≴∭⊉3145⊱⇼⊻≴∭⊉3221)↳≱(≴∭⊉11446∽≴∭⊉15461)⨫⇇↔((↩≴∭⊉11624)↡⊰⫅≴∭⊉3113⫗⊷⫓≴∭⊉16105))≝⊿((≴∭⊉15224⩷∴≴∭⊉24436)⨼⩣(≴∭⊉4306⫉⨲⊜≴∭⊉10235))∊∟⩊(↩≴∭⊉10365⪥≴∭⊉10662)","cot":[{"info":"≴∭⊉3145⊱⇼⊻≴∭⊉3221=≴∭⊉1160","layer":3},{"info":"≴∭⊉11446∽≴∭⊉15461=≴∭⊉-143632","layer":3},{"info":"≴∭⊉1160↳≱≴∭⊉-143632=≴∭⊉0","layer":2},{"info":"↩≴∭⊉11624=≴∭⊉-120113","layer":3},{"info":"≴∭⊉3113⫗⊷⫓≴∭⊉16105=≴∭⊉-251","layer":3},{"info":"≴∭⊉-120113↡⊰⫅≴∭⊉-251=NaN","layer":2},{"info":"≴∭⊉0⨫⇇↔NaN=≴∭⊉-1352","layer":1},{"info":"≴∭⊉15224⩷∴≴∭⊉24436=≴∭⊉-15501","layer":3},{"info":"≴∭⊉4306⫉⨲⊜≴∭⊉10235=≴∭⊉0","layer":3},{"info":"≴∭⊉-15501⨼⩣≴∭⊉0=NaN","layer":2},{"info":"≴∭⊉10365⪥≴∭⊉10662=≴∭⊉61553","layer":3},{"info":"↩≴∭⊉61553=≴∭⊉-666332","layer":2},{"info":"NaN∊∟⩊≴∭⊉-666332=≴∭⊉-666332","layer":1},{"info":"≴∭⊉-1352≝⊿≴∭⊉-666332=≴∭⊉1665655","layer":0}]}
+{"id":756,"expression_no_base_symbol":"(⇖⫷⫕($3222$⋝⋈⪟$1585$)≦↸($8126$∕⩚$3747$))⊾⪯⋞((≅≯⇸$4498$⊨$2119$)⊠≄⫣)","expression":"(⇖⫷⫕(≴∭⊉12252⋝⋈⪟≴∭⊉4423)≦↸(≴∭⊉32456∕⩚≴∭⊉13632))⊾⪯⋞((≅≯⇸≴∭⊉16054⊨≴∭⊉6115)⊠≄⫣)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":8988,"operation_count":8,"complexity_ratio":1123.5,"tree":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3222,"base":7},"right_expr":{"type":"numeric_atoms","value":1585,"base":7}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":8126,"base":7},"right_expr":{"type":"numeric_atoms","value":3747,"base":7}}}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":4498,"base":7},"right_expr":{"type":"numeric_atoms","value":2119,"base":7}}}}},"used_operators":["HK0tfVPux8","UHmRx3INFg","RygbFNSyEJ","2DDjHMKMc0","z9ffQ9n5Zr","DIvbN7qnHd","apS25hmuAe","vg4gO5BX6G"],"dependent_operators":["s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","rysDP5nf3Z","t8gj7n24qd","EBcxylXtPf","QMFrweE19q","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP"],"result":"≴∭⊉-2246","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3222","layer":4},{"info":"number node, value=1585","layer":4},{"info":"compute binary expreesion, left_input=3222, right_input=1585, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3222","layer":3},{"info":"number node, value=8126","layer":4},{"info":"number node, value=3747","layer":4},{"info":"compute binary expreesion, left_input=8126, right_input=3747, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-8129","layer":3},{"info":"compute binary expreesion, left_input=3222, right_input=-8129, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-2541","layer":2},{"info":"compute unary expreesion, input=-2541, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":1},{"info":"number node, value=4498","layer":4},{"info":"number node, value=2119","layer":4},{"info":"compute binary expreesion, left_input=4498, right_input=2119, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=19023","layer":3},{"info":"compute unary expreesion, input=19023, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=83769","layer":2},{"info":"compute unary expreesion, input=83769, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=2822, right_input=0, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=-818","layer":0}],"base":7,"result_base":7,"text":"(⇖⫷⫕(≴∭⊉12252⋝⋈⪟≴∭⊉4423)≦↸(≴∭⊉32456∕⩚≴∭⊉13632))⊾⪯⋞((≅≯⇸≴∭⊉16054⊨≴∭⊉6115)⊠≄⫣)=≴∭⊉-2246","reverse_text":"≴∭⊉-2246=(⇖⫷⫕(≴∭⊉12252⋝⋈⪟≴∭⊉4423)≦↸(≴∭⊉32456∕⩚≴∭⊉13632))⊾⪯⋞((≅≯⇸≴∭⊉16054⊨≴∭⊉6115)⊠≄⫣)","cot":[{"info":"≴∭⊉12252⋝⋈⪟≴∭⊉4423=≴∭⊉12252","layer":3},{"info":"≴∭⊉32456∕⩚≴∭⊉13632=≴∭⊉-32462","layer":3},{"info":"≴∭⊉12252≦↸≴∭⊉-32462=≴∭⊉-10260","layer":2},{"info":"⇖⫷⫕≴∭⊉-10260=≴∭⊉11141","layer":1},{"info":"≴∭⊉16054⊨≴∭⊉6115=≴∭⊉106314","layer":3},{"info":"≅≯⇸≴∭⊉106314=≴∭⊉466140","layer":2},{"info":"≴∭⊉466140⊠≄⫣=≴∭⊉0","layer":1},{"info":"≴∭⊉11141⊾⪯⋞≴∭⊉0=≴∭⊉-2246","layer":0}]}
+{"id":757,"expression_no_base_symbol":"⨦⪝(($3364$⪪$1234$)∌($1732$⨕⋳)⪉⨛(-$1994$⨑≵⋬$1088$))","expression":"⨦⪝((≴∭⊉12544⪪≴∭⊉3412)∌(≴∭⊉5023⨕⋳)⪉⨛(-≴∭⊉5546⨑≵⋬≴∭⊉3113))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":10396,"operation_count":7,"complexity_ratio":1485.142857142857,"tree":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":3364,"base":7},"right_expr":{"type":"numeric_atoms","value":1234,"base":7}},"right_expr":{"type":"unary","operator":"⨕⋳","unary_expr":{"type":"numeric_atoms","value":1732,"base":7}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":1994,"base":7},"right_expr":{"type":"numeric_atoms","value":1088,"base":7}}}}},"used_operators":["SUjycxNXIR","EWw2JM7wp4","8cLx32lpNA","xD69zh8xqp","4X4GscPmMf","t8gj7n24qd","XnXgA4xnOs"],"dependent_operators":["V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","FU0Cs4j7VP","JclMnS0uGI","9bazX3JMtO","nhYeJWJD5X","DbCuESL50I","3EYGwJThht","w2P8NbNXyL","uFcxV4UQCh","bJkvcejdHO","BUOGQAYlQx","cTDWOvIxvz","hrf7POJlIJ","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q"],"result":"≴∭⊉-5331","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3364","layer":4},{"info":"number node, value=1234","layer":4},{"info":"compute binary expreesion, left_input=3364, right_input=1234, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-504053","layer":3},{"info":"number node, value=1732","layer":4},{"info":"compute unary expreesion, input=1732, op_id = 4X4GscPmMf, unary_op_definition = 'a⨕⋳ = { ((⋼∭⪍(a∴a))⊉↱≁(⋂(a↹⊜60))) , if (a∝72)!=68 ; (((a≎⊠⪸503)⇄(a∇⊂⋱a))⪛a) , else }', output=72044","layer":3},{"info":"compute binary expreesion, left_input=-504053, right_input=72044, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-504053","layer":2},{"info":"number node, value=1994","layer":4},{"info":"number node, value=1088","layer":4},{"info":"compute binary expreesion, left_input=1994, right_input=1088, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=3733","layer":3},{"info":"compute unary expreesion, input=3733, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-3733","layer":2},{"info":"compute binary expreesion, left_input=-504053, right_input=-3733, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=-1500745","layer":1},{"info":"compute unary expreesion, input=-1500745, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":0}],"base":7,"result_base":7,"text":"⨦⪝((≴∭⊉12544⪪≴∭⊉3412)∌(≴∭⊉5023⨕⋳)⪉⨛(-≴∭⊉5546⨑≵⋬≴∭⊉3113))=≴∭⊉-5331","reverse_text":"≴∭⊉-5331=⨦⪝((≴∭⊉12544⪪≴∭⊉3412)∌(≴∭⊉5023⨕⋳)⪉⨛(-≴∭⊉5546⨑≵⋬≴∭⊉3113))","cot":[{"info":"≴∭⊉12544⪪≴∭⊉3412=≴∭⊉-4166354","layer":3},{"info":"≴∭⊉5023⨕⋳=≴∭⊉420020","layer":3},{"info":"≴∭⊉-4166354∌≴∭⊉420020=≴∭⊉-4166354","layer":2},{"info":"≴∭⊉5546⨑≵⋬≴∭⊉3113=≴∭⊉13612","layer":3},{"info":"-≴∭⊉13612=≴∭⊉-13612","layer":2},{"info":"≴∭⊉-4166354⪉⨛≴∭⊉-13612=≴∭⊉-15520231","layer":1},{"info":"⨦⪝≴∭⊉-15520231=≴∭⊉-5331","layer":0}]}
+{"id":758,"expression_no_base_symbol":"($1037$≫≃)⪟⇏($6078$↬$4390$)⫰⋱($1142$⇯⋐)∌↝$2918$⫣⪄⊒$7394$⋅⇍((↘($1064$⫳≱↱$1659$))↱((⨙⪌$1560$)↱$1435$↼⊘⨖$1858$))","expression":"(≴∭⊉3011≫≃)⪟⇏(≴∭⊉23502↬≴∭⊉15541)⫰⋱(≴∭⊉3221⇯⋐)∌↝≴∭⊉11336⫣⪄⊒≴∭⊉30362⋅⇍((↘(≴∭⊉3050⫳≱↱≴∭⊉4560))↱((⨙⪌≴∭⊉4356)↱≴∭⊉4120↼⊘⨖≴∭⊉5263))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1435,"operation_count":14,"complexity_ratio":102.5,"tree":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":1037,"base":7}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":6078,"base":7},"right_expr":{"type":"numeric_atoms","value":4390,"base":7}}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"unary","operator":"⇯⋐","unary_expr":{"type":"numeric_atoms","value":1142,"base":7}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":2918,"base":7},"right_expr":{"type":"numeric_atoms","value":7394,"base":7}}}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":1064,"base":7},"right_expr":{"type":"numeric_atoms","value":1659,"base":7}}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"numeric_atoms","value":1560,"base":7}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":1435,"base":7},"right_expr":{"type":"numeric_atoms","value":1858,"base":7}}}}},"used_operators":["AdZkA7nFnk","6o9Blt3TJ6","GODebY97qR","X99M06cbEe","B5M0gjZbta","9Isq31Ruls","LkLIoiE525","RabNbG55vr","SR5kFfdi6N","LdNpr8hQHL","ZvLB05nZmT","vEGLkm4Z2k","bPywburJMS"],"dependent_operators":["g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rGHVDoGpnC","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","uFcxV4UQCh","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd"],"result":"≴∭⊉-1525","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1037","layer":4},{"info":"compute unary expreesion, input=1037, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=3475","layer":3},{"info":"number node, value=6078","layer":4},{"info":"number node, value=4390","layer":4},{"info":"compute binary expreesion, left_input=6078, right_input=4390, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3475, right_input=nan, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":2},{"info":"number node, value=1142","layer":4},{"info":"compute unary expreesion, input=1142, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=4304","layer":3},{"info":"number node, value=2918","layer":4},{"info":"number node, value=7394","layer":4},{"info":"compute binary expreesion, left_input=2918, right_input=7394, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-39040","layer":3},{"info":"compute binary expreesion, left_input=4304, right_input=-39040, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=8608","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=8608, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=34","layer":1},{"info":"number node, value=1064","layer":4},{"info":"number node, value=1659","layer":4},{"info":"compute binary expreesion, left_input=1064, right_input=1659, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"compute unary expreesion, input=-204, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=188","layer":2},{"info":"number node, value=1560","layer":4},{"info":"compute unary expreesion, input=1560, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":3},{"info":"number node, value=1435","layer":4},{"info":"number node, value=1858","layer":4},{"info":"compute binary expreesion, left_input=1435, right_input=1858, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=3494","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=3494, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-9960","layer":2},{"info":"compute binary expreesion, left_input=188, right_input=-9960, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-64368","layer":1},{"info":"compute binary expreesion, left_input=34, right_input=-64368, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-607","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉3011≫≃)⪟⇏(≴∭⊉23502↬≴∭⊉15541)⫰⋱(≴∭⊉3221⇯⋐)∌↝≴∭⊉11336⫣⪄⊒≴∭⊉30362⋅⇍((↘(≴∭⊉3050⫳≱↱≴∭⊉4560))↱((⨙⪌≴∭⊉4356)↱≴∭⊉4120↼⊘⨖≴∭⊉5263))=≴∭⊉-1525","reverse_text":"≴∭⊉-1525=(��∭⊉3011≫≃)⪟⇏(≴∭⊉23502↬≴∭⊉15541)⫰⋱(≴∭⊉3221⇯⋐)∌↝≴∭⊉11336⫣⪄⊒≴∭⊉30362⋅⇍((↘(≴∭⊉3050⫳≱↱≴∭⊉4560))↱((⨙⪌≴∭⊉4356)↱≴∭⊉4120↼⊘⨖≴∭⊉5263))","cot":[{"info":"≴∭⊉3011≫≃=≴∭⊉13063","layer":3},{"info":"≴∭⊉23502↬≴∭⊉15541=NaN","layer":3},{"info":"≴∭⊉13063⪟⇏NaN=≴∭⊉-1","layer":2},{"info":"≴∭⊉3221⇯⋐=≴∭⊉15356","layer":3},{"info":"≴∭⊉11336⫣⪄⊒≴∭⊉30362=≴∭⊉-221551","layer":3},{"info":"≴∭⊉15356∌↝≴∭⊉-221551=≴∭⊉34045","layer":2},{"info":"≴∭⊉-1⫰⋱≴∭⊉34045=≴∭⊉46","layer":1},{"info":"≴∭⊉3050⫳≱↱≴∭⊉4560=≴∭⊉-411","layer":3},{"info":"↘≴∭⊉-411=≴∭⊉356","layer":2},{"info":"⨙⪌≴∭⊉4356=≴∭⊉2350","layer":3},{"info":"≴∭⊉4120↼⊘⨖≴∭⊉5263=≴∭⊉13121","layer":3},{"info":"≴∭⊉2350↱≴∭⊉13121=≴∭⊉-41016","layer":2},{"info":"≴∭⊉356↱≴∭⊉-41016=≴∭⊉-355443","layer":1},{"info":"≴∭⊉46⋅⇍≴∭⊉-355443=≴∭⊉-1525","layer":0}]}
+{"id":759,"expression_no_base_symbol":"⇐(($2272$≥⨤⩑$4998$)⨿(⇨$1805$)⊋≦⊧($2263$≓∲$3159$∪⫐$2416$↳∿⪆$4853$))","expression":"⇐((≴∭⊉6424≥⨤⩑≴∭⊉20400)⨿(⇨≴∭⊉5156)⊋≦⊧(≴∭⊉6412≓∲≴∭⊉12132∪⫐≴∭⊉10021↳∿⪆≴∭⊉20102))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2811,"operation_count":8,"complexity_ratio":351.375,"tree":{"type":"unary","operator":"⇐","unary_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":2272,"base":7},"right_expr":{"type":"numeric_atoms","value":4998,"base":7}},"right_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"numeric_atoms","value":1805,"base":7}}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":2263,"base":7},"right_expr":{"type":"numeric_atoms","value":3159,"base":7}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":2416,"base":7},"right_expr":{"type":"numeric_atoms","value":4853,"base":7}}}}},"used_operators":["nmZMaaE0Q9","oRDoc9rAEX","abYXlopdE0","gJLn6v0xnP","G9tJMlZ94a","7YooWSwCyH","s1XTVnmDOJ","Cw4SuJJGHO"],"dependent_operators":["23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","k8jYdgA6NY","rJVOvQCfKK","2DDjHMKMc0","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q"],"result":"≴∭⊉-1546","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2272","layer":4},{"info":"number node, value=4998","layer":4},{"info":"compute binary expreesion, left_input=2272, right_input=4998, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"number node, value=1805","layer":4},{"info":"compute unary expreesion, input=1805, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=0, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":2},{"info":"number node, value=2263","layer":4},{"info":"number node, value=3159","layer":4},{"info":"compute binary expreesion, left_input=2263, right_input=3159, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=23413","layer":3},{"info":"number node, value=2416","layer":4},{"info":"number node, value=4853","layer":4},{"info":"compute binary expreesion, left_input=2416, right_input=4853, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=23413, right_input=nan, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=23413","layer":2},{"info":"compute binary expreesion, left_input=-319, right_input=23413, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=192","layer":1},{"info":"compute unary expreesion, input=192, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=-622","layer":0}],"base":7,"result_base":7,"text":"⇐((≴∭⊉6424≥⨤⩑≴∭⊉20400)⨿(⇨≴∭⊉5156)⊋≦⊧(≴∭⊉6412≓∲≴∭⊉12132∪⫐≴∭⊉10021↳∿⪆≴∭⊉20102))=≴∭⊉-1546","reverse_text":"≴∭⊉-1546=⇐((≴∭⊉6424≥⨤⩑≴∭⊉20400)⨿(⇨≴∭⊉5156)⊋≦⊧(≴∭⊉6412≓∲≴∭⊉12132∪⫐≴∭⊉10021↳∿⪆≴∭⊉20102))","cot":[{"info":"≴∭⊉6424≥⨤⩑≴∭⊉20400=≴∭⊉3412","layer":3},{"info":"⇨≴∭⊉5156=≴∭⊉0","layer":3},{"info":"≴∭⊉3412⨿≴∭⊉0=≴∭⊉-634","layer":2},{"info":"≴∭⊉6412≓∲≴∭⊉12132=≴∭⊉125155","layer":3},{"info":"≴∭⊉10021↳∿⪆≴∭⊉20102=NaN","layer":3},{"info":"≴∭⊉125155∪⫐NaN=≴∭⊉125155","layer":2},{"info":"≴∭⊉-634⊋≦⊧≴∭⊉125155=≴∭⊉363","layer":1},{"info":"⇐≴∭⊉363=≴∭⊉-1546","layer":0}]}
+{"id":760,"expression_no_base_symbol":"(⊿($6284$∷$2584$)≃$1240$⊕∕$1143$)⋕⪉⪜(($2235$⨚⇆$1172$⨭⪣(↥$3669$))⨼⩣($5861$⫒⫫$1629$⋥≓≎$2352$⋅⇍$7102$))","expression":"(⊿(≴∭⊉24215∷≴∭⊉10351)≃≴∭⊉3421⊕∕≴∭⊉3222)⋕⪉⪜((≴∭⊉6342⨚⇆≴∭⊉3263⨭⪣(↥≴∭⊉13461))⨼⩣(≴∭⊉23042⫒⫫≴∭⊉4515⋥≓≎≴∭⊉6600⋅⇍≴∭⊉26464))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":16223,"operation_count":12,"complexity_ratio":1351.9166666666667,"tree":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":6284,"base":7},"right_expr":{"type":"numeric_atoms","value":2584,"base":7}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":1240,"base":7},"right_expr":{"type":"numeric_atoms","value":1143,"base":7}}}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":2235,"base":7},"right_expr":{"type":"numeric_atoms","value":1172,"base":7}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":3669,"base":7}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":5861,"base":7},"right_expr":{"type":"numeric_atoms","value":1629,"base":7}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":2352,"base":7},"right_expr":{"type":"numeric_atoms","value":7102,"base":7}}}}},"used_operators":["z6LnFrNh4i","DO4fhlbJSI","YbVcJGFEVW","D3AQDKkPcf","9cloC0Ngie","JxwMv5le6e","kn8WO9XteQ","lwHaAYXP2r","A8NUZmVepG","Qy55tPpLXF","6Ko8hGgeMq","AdZkA7nFnk"],"dependent_operators":["sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","9FxExcQeMw","NTOWxs364D","7j4O788W3g","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6"],"result":"≴∭⊉411","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6284","layer":4},{"info":"number node, value=2584","layer":4},{"info":"compute binary expreesion, left_input=6284, right_input=2584, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=2584","layer":3},{"info":"number node, value=1240","layer":4},{"info":"number node, value=1143","layer":4},{"info":"compute binary expreesion, left_input=1240, right_input=1143, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=1240","layer":3},{"info":"compute binary expreesion, left_input=2584, right_input=1240, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-10376","layer":2},{"info":"compute unary expreesion, input=-10376, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=42890","layer":1},{"info":"number node, value=2235","layer":4},{"info":"number node, value=1172","layer":4},{"info":"compute binary expreesion, left_input=2235, right_input=1172, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕��a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"number node, value=3669","layer":4},{"info":"compute unary expreesion, input=3669, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=48","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=48, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=nan","layer":2},{"info":"number node, value=5861","layer":4},{"info":"number node, value=1629","layer":4},{"info":"compute binary expreesion, left_input=5861, right_input=1629, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"number node, value=2352","layer":4},{"info":"number node, value=7102","layer":4},{"info":"compute binary expreesion, left_input=2352, right_input=7102, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-22, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=42890, right_input=nan, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":0}],"base":7,"result_base":7,"text":"(⊿(≴∭⊉24215∷≴∭⊉10351)≃≴∭⊉3421⊕∕≴∭⊉3222)⋕⪉⪜((≴∭⊉6342⨚⇆≴∭⊉3263⨭⪣(↥≴∭⊉13461))⨼⩣(≴∭⊉23042⫒⫫≴∭⊉4515⋥≓≎≴∭⊉6600⋅⇍≴∭⊉26464))=≴∭⊉411","reverse_text":"≴∭⊉411=(⊿(≴∭⊉24215∷≴∭⊉10351)≃≴∭⊉3421⊕∕≴∭⊉3222)⋕⪉⪜((≴∭⊉6342⨚⇆≴∭⊉3263⨭⪣(↥≴∭⊉13461))⨼⩣(≴∭⊉23042⫒⫫≴∭⊉4515⋥≓≎≴∭⊉6600⋅⇍≴∭⊉26464))","cot":[{"info":"≴∭⊉24215∷≴∭⊉10351=≴∭⊉10351","layer":3},{"info":"≴∭⊉3421⊕∕≴∭⊉3222=≴∭⊉3421","layer":3},{"info":"≴∭⊉10351≃≴∭⊉3421=≴∭⊉-42152","layer":2},{"info":"⊿≴∭⊉-42152=≴∭⊉236021","layer":1},{"info":"≴∭⊉6342⨚⇆≴∭⊉3263=NaN","layer":3},{"info":"↥≴∭⊉13461=≴∭⊉66","layer":3},{"info":"NaN⨭⪣≴∭⊉66=NaN","layer":2},{"info":"≴∭⊉23042⫒⫫≴∭⊉4515=NaN","layer":3},{"info":"≴∭⊉6600⋅⇍≴∭⊉26464=≴∭⊉-31","layer":3},{"info":"NaN⋥≓≎≴∭⊉-31=≴∭⊉124","layer":2},{"info":"NaN⨼⩣≴∭⊉124=NaN","layer":1},{"info":"≴∭⊉236021⋕⪉⪜NaN=≴∭⊉411","layer":0}]}
+{"id":761,"expression_no_base_symbol":"(↑($4028$⨎$7049$)⊕∕($1291$⫻⋑⊟))⩚⊴⇥(⊁⨺($1165$⨔≚≋$2442$)⫁($2321$⊊))","expression":"(↑(≴∭⊉14513⨎≴∭⊉26360)⊕∕(≴∭⊉3523⫻⋑⊟))⩚⊴⇥(⊁⨺(≴∭⊉3253⨔≚≋≴∭⊉10056)⫁(≴∭⊉6524⊊))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":461,"operation_count":9,"complexity_ratio":51.22222222222222,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":4028,"base":7},"right_expr":{"type":"numeric_atoms","value":7049,"base":7}},"right_expr":{"type":"unary","operator":"⫻⋑⊟","unary_expr":{"type":"numeric_atoms","value":1291,"base":7}}}},"right_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":1165,"base":7},"right_expr":{"type":"numeric_atoms","value":2442,"base":7}},"right_expr":{"type":"unary","operator":"⊊","unary_expr":{"type":"numeric_atoms","value":2321,"base":7}}}}},"used_operators":["NTOWxs364D","tR7O2zTn5j","9cloC0Ngie","rJVOvQCfKK","o575Zjdmzy","PxiHyQbrIp","0ajvFaJAv0","Z57zeUYC9z","W9R8I5fN5A"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","sdazOOVcIp","12rbrZMWeM","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","cHh1gJQ2o6","AHs5Up7iyr","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","DlLNRPXxWL","aBQ6xLxuTc","8n5YIzOsVS","oZj3VtZNQx","MahUMFw56D","hyuBjUqXlG","aA7tF3KVD3","2DDjHMKMc0","QMFrweE19q","SxTAKzQCrw","8cLx32lpNA"],"result":"≴∭⊉-1244","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4028","layer":4},{"info":"number node, value=7049","layer":4},{"info":"compute binary expreesion, left_input=4028, right_input=7049, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=7049","layer":3},{"info":"number node, value=1291","layer":4},{"info":"compute unary expreesion, input=1291, op_id = o575Zjdmzy, unary_op_definition = 'a⫻⋑⊟ = { ((a⨸⪁(⨞⊢a))⪨≂((a∲⫓a)⋳⪒(265-a))) }', output=-2072","layer":3},{"info":"compute binary expreesion, left_input=7049, right_input=-2072, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=7049","layer":2},{"info":"compute unary expreesion, input=7049, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":1},{"info":"number node, value=1165","layer":4},{"info":"number node, value=2442","layer":4},{"info":"compute binary expreesion, left_input=1165, right_input=2442, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"number node, value=2321","layer":4},{"info":"compute unary expreesion, input=2321, op_id = W9R8I5fN5A, unary_op_definition = 'a⊊ = { (((⫛⫱⨽a)∙⊟a)∌((a⇂≾⫗536)⋝⋈⪟(a⫡⨏a))) , if ((a≚⋢)==7 or (a⪘⨀)==15) ; ((a≀⫉(6⪛⫼a))⫠↝⫳) , else }', output=90927","layer":3},{"info":"compute binary expreesion, left_input=9872, right_input=90927, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=192, right_input=160, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-473","layer":0}],"base":7,"result_base":7,"text":"(↑(≴∭⊉14513⨎≴∭⊉26360)⊕∕(≴∭⊉3523⫻⋑⊟))⩚⊴⇥(⊁⨺(≴∭⊉3253⨔≚≋≴∭⊉10056)⫁(≴∭⊉6524⊊))=≴∭⊉-1244","reverse_text":"≴∭⊉-1244=(↑(≴∭⊉14513⨎≴∭⊉26360)⊕∕(≴∭⊉3523⫻⋑⊟))⩚⊴⇥(⊁⨺(≴∭⊉3253⨔≚≋≴∭⊉10056)⫁(≴∭⊉6524⊊))","cot":[{"info":"≴∭⊉14513⨎≴∭⊉26360=≴∭⊉26360","layer":3},{"info":"≴∭⊉3523⫻⋑⊟=≴∭⊉-6020","layer":3},{"info":"≴∭⊉26360⊕∕≴∭⊉-6020=≴∭⊉26360","layer":2},{"info":"↑≴∭⊉26360=≴∭⊉363","layer":1},{"info":"≴∭⊉3253⨔≚≋≴∭⊉10056=≴∭⊉40532","layer":3},{"info":"≴∭⊉6524⊊=≴∭⊉526044","layer":3},{"info":"≴∭⊉40532⫁≴∭⊉526044=≴∭⊉316","layer":2},{"info":"⊁⨺≴∭⊉316=≴∭⊉316","layer":1},{"info":"≴∭⊉363⩚⊴⇥≴∭⊉316=≴∭⊉-1244","layer":0}]}
+{"id":762,"expression_no_base_symbol":"($4411$⨑⩅≇$6078$⋥⋵⩄($3075$⫳≱↱$1454$))≴⪞⇿(($1841$⇮⋭$6002$)⩵∡$3715$+⇶⊼$1428$)⩍⋽⫝̸($5620$⩣⫁∢$2062$≨$3870$≴⪞⇿$7390$⇣⩺⋵($4006$∷$1857$)⪒⊣⊆($2896$∘$3852$))","expression":"(≴∭⊉15601⨑⩅≇≴∭⊉23502⋥⋵⩄(≴∭⊉11652⫳≱↱≴∭⊉4145))≴⪞⇿((≴∭⊉5240⇮⋭≴∭⊉23333)⩵∡≴∭⊉13555+⇶⊼≴∭⊉4110)⩍⋽⫝̸(≴∭⊉22246⩣⫁∢≴∭⊉6004≨≴∭⊉14166≴⪞⇿≴∭⊉30355⇣⩺⋵(≴∭⊉14452∷≴∭⊉5262)⪒⊣⊆(≴∭⊉11305∘≴∭⊉14142))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":77623,"operation_count":15,"complexity_ratio":5174.866666666667,"tree":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":4411,"base":7},"right_expr":{"type":"numeric_atoms","value":6078,"base":7}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":3075,"base":7},"right_expr":{"type":"numeric_atoms","value":1454,"base":7}}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":1841,"base":7},"right_expr":{"type":"numeric_atoms","value":6002,"base":7}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3715,"base":7},"right_expr":{"type":"numeric_atoms","value":1428,"base":7}}}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":5620,"base":7},"right_expr":{"type":"numeric_atoms","value":2062,"base":7}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":3870,"base":7},"right_expr":{"type":"numeric_atoms","value":7390,"base":7}}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":4006,"base":7},"right_expr":{"type":"numeric_atoms","value":1857,"base":7}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":2896,"base":7},"right_expr":{"type":"numeric_atoms","value":3852,"base":7}}}}},"used_operators":["BiWNJpBvwn","lvlrscuwVU","7t3wd0Fuz7","h92wMvzauj","ZvLB05nZmT","Y7wcNGrDQJ","vkpjKywKVM","TpPTUOHfaN","F4yD0voBRQ","0KMCeP1Jsh","JDUIKTTSIa","eRqsBgTDFp","D3AQDKkPcf","Z5m6OM72h2"],"dependent_operators":["Ph9nP6C5qx","xUOZtlo3hN","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","NTOWxs364D","glklzrTFfD","tifHPKVTfV","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","AHs5Up7iyr","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","sdazOOVcIp","W4YGzv6Whe","9FxExcQeMw","NTOWxs364D","7j4O788W3g","eH2TOUuTDT","rysDP5nf3Z"],"result":"≴∭⊉302222","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4411","layer":4},{"info":"number node, value=6078","layer":4},{"info":"compute binary expreesion, left_input=4411, right_input=6078, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-13233","layer":3},{"info":"number node, value=3075","layer":4},{"info":"number node, value=1454","layer":4},{"info":"compute binary expreesion, left_input=3075, right_input=1454, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"compute binary expreesion, left_input=-13233, right_input=-204, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":2},{"info":"number node, value=1841","layer":4},{"info":"number node, value=6002","layer":4},{"info":"compute binary expreesion, left_input=1841, right_input=6002, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"number node, value=3715","layer":4},{"info":"number node, value=1428","layer":4},{"info":"compute binary expreesion, left_input=3715, right_input=1428, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-473, right_input=nan, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=113, right_input=nan, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=51434","layer":1},{"info":"number node, value=5620","layer":4},{"info":"number node, value=2062","layer":4},{"info":"compute binary expreesion, left_input=5620, right_input=2062, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-11079","layer":3},{"info":"number node, value=3870","layer":4},{"info":"number node, value=7390","layer":4},{"info":"compute binary expreesion, left_input=3870, right_input=7390, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=25877052","layer":3},{"info":"compute binary expreesion, left_input=-11079, right_input=25877052, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=22814","layer":2},{"info":"number node, value=4006","layer":4},{"info":"number node, value=1857","layer":4},{"info":"compute binary expreesion, left_input=4006, right_input=1857, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=1857","layer":3},{"info":"number node, value=2896","layer":4},{"info":"number node, value=3852","layer":4},{"info":"compute binary expreesion, left_input=2896, right_input=3852, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=5792","layer":3},{"info":"compute binary expreesion, left_input=1857, right_input=5792, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=3714","layer":2},{"info":"compute binary expreesion, left_input=22814, right_input=3714, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":1},{"info":"compute binary expreesion, left_input=51434, right_input=-260, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=51221","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉15601⨑⩅≇≴∭⊉23502⋥⋵⩄(≴∭⊉11652⫳≱↱≴∭⊉4145))≴⪞⇿((≴∭⊉5240⇮⋭≴∭⊉23333)⩵∡≴∭⊉13555+⇶⊼≴∭⊉4110)⩍⋽⫝̸(≴∭⊉22246⩣⫁∢≴∭⊉6004≨≴∭⊉14166≴⪞⇿≴∭⊉30355⇣⩺⋵(≴∭⊉14452∷≴∭⊉5262)⪒⊣⊆(≴∭⊉11305∘≴∭⊉14142))=≴∭⊉302222","reverse_text":"≴∭⊉302222=(≴∭⊉15601⨑⩅≇≴∭⊉23502⋥⋵⩄(≴∭⊉11652⫳≱↱≴∭⊉4145))≴⪞⇿((≴∭⊉5240⇮⋭≴∭⊉23333)⩵∡≴∭⊉13555+⇶⊼≴∭⊉4110)⩍⋽⫝̸(≴∭⊉22246⩣⫁∢≴∭⊉6004≨≴∭⊉14166≴⪞⇿≴∭⊉30355⇣⩺⋵(≴∭⊉14452∷≴∭⊉5262)⪒⊣⊆(≴∭⊉11305∘≴∭⊉14142))","cot":[{"info":"≴∭⊉15601⨑⩅≇≴∭⊉23502=≴∭⊉-53403","layer":3},{"info":"≴∭⊉11652⫳≱↱≴∭⊉4145=≴∭⊉-411","layer":3},{"info":"≴∭⊉-53403⋥⋵⩄≴∭⊉-411=≴∭⊉221","layer":2},{"info":"≴∭⊉5240⇮⋭≴∭⊉23333=≴∭⊉-1244","layer":3},{"info":"≴∭⊉13555+⇶⊼≴∭⊉4110=NaN","layer":3},{"info":"≴∭⊉-1244⩵∡NaN=NaN","layer":2},{"info":"≴∭⊉221≴⪞⇿NaN=≴∭⊉302645","layer":1},{"info":"≴∭⊉22246⩣⫁∢≴∭⊉6004=≴∭⊉-44205","layer":3},{"info":"≴∭⊉14166≴⪞⇿≴∭⊉30355=≴∭⊉432644205","layer":3},{"info":"≴∭⊉-44205≨≴∭⊉432644205=≴∭⊉123341","layer":2},{"info":"≴∭⊉14452∷≴∭⊉5262=≴∭⊉5262","layer":3},{"info":"≴∭⊉11305∘≴∭⊉14142=≴∭⊉22613","layer":3},{"info":"≴∭⊉5262⪒⊣⊆≴∭⊉22613=≴∭⊉13554","layer":2},{"info":"≴∭⊉123341⇣⩺⋵≴∭⊉13554=≴∭⊉-521","layer":1},{"info":"≴∭⊉302645⩍⋽⫝̸≴∭⊉-521=≴∭⊉302222","layer":0}]}
+{"id":763,"expression_no_base_symbol":"⩪∧⨌(⊈$1345$⨑⩅≇$2810$⨥⫆(∟⋨$2195$))","expression":"⩪∧⨌(⊈≴∭⊉3631⨑⩅≇≴∭⊉11123⨥⫆(∟⋨≴∭⊉6254))","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":5077,"operation_count":5,"complexity_ratio":1015.4,"tree":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":1345,"base":7},"right_expr":{"type":"numeric_atoms","value":2810,"base":7}},"right_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"numeric_atoms","value":2195,"base":7}}}}},"used_operators":["6iOiAJX1F8","RHru8klgy8","yXekIHxTD4","h92wMvzauj","ctOc4cKSDt"],"dependent_operators":["P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","12rbrZMWeM","xUOZtlo3hN","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","eLAdDNolq6","tmPS8pqC7x"],"result":"≴∭⊉-5021","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1345","layer":4},{"info":"number node, value=2810","layer":4},{"info":"compute binary expreesion, left_input=1345, right_input=2810, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-4035","layer":3},{"info":"number node, value=2195","layer":4},{"info":"compute unary expreesion, input=2195, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-1711","layer":3},{"info":"compute binary expreesion, left_input=-4035, right_input=-1711, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=-1","layer":2},{"info":"compute unary expreesion, input=-1, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-173","layer":1},{"info":"compute unary expreesion, input=-173, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=-1730","layer":0}],"base":7,"result_base":7,"text":"⩪∧⨌(⊈≴∭⊉3631⨑⩅≇≴∭⊉11123⨥⫆(∟⋨≴∭⊉6254))=≴∭⊉-5021","reverse_text":"≴∭⊉-5021=⩪∧⨌(⊈≴∭⊉3631⨑⩅≇≴∭⊉11123⨥⫆(∟⋨≴∭⊉6254))","cot":[{"info":"≴∭⊉3631⨑⩅≇≴∭⊉11123=≴∭⊉-14523","layer":3},{"info":"∟⋨≴∭⊉6254=≴∭⊉-4663","layer":3},{"info":"≴∭⊉-14523⨥⫆≴∭⊉-4663=≴∭⊉-1","layer":2},{"info":"⊈≴∭⊉-1=≴∭⊉-335","layer":1},{"info":"⩪∧⨌≴∭⊉-335=≴∭⊉-5021","layer":0}]}
+{"id":764,"expression_no_base_symbol":"((($1619$∲⫓$5130$)∣$5870$↓$2395$)∀⊥⇻)⋅⇍(⪁⇼(($4895$∖$1391$)⪡($3369$+⇶⊼$6959$)))","expression":"(((≴∭⊉4502∲⫓≴∭⊉20646)∣≴∭⊉23054↓≴∭⊉6661)∀⊥⇻)⋅⇍(⪁⇼((≴∭⊉20162∖≴∭⊉4025)⪡(≴∭⊉12552+⇶⊼≴∭⊉26201)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":34183,"operation_count":9,"complexity_ratio":3798.1111111111113,"tree":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"unary","operator":"∀⊥⇻","unary_expr":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1619,"base":7},"right_expr":{"type":"numeric_atoms","value":5130,"base":7}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":5870,"base":7},"right_expr":{"type":"numeric_atoms","value":2395,"base":7}}}},"right_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":4895,"base":7},"right_expr":{"type":"numeric_atoms","value":1391,"base":7}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3369,"base":7},"right_expr":{"type":"numeric_atoms","value":6959,"base":7}}}}},"used_operators":["AdZkA7nFnk","k4iM1060OG","PPChnnnBFF","i8ToyICDmI","Af076pWI7l","ZNVVrZ94lY","oraRL2iQuh","tXD093vOjl","TpPTUOHfaN"],"dependent_operators":["g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","QvoQhV0rrE","XhwjNDsVaA","3Oe9XWJUTD","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","AHs5Up7iyr"],"result":"≴∭⊉-31","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1619","layer":4},{"info":"number node, value=5130","layer":4},{"info":"compute binary expreesion, left_input=1619, right_input=5130, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=5870","layer":4},{"info":"number node, value=2395","layer":4},{"info":"compute binary expreesion, left_input=5870, right_input=2395, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-134, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=957","layer":2},{"info":"compute unary expreesion, input=957, op_id = k4iM1060OG, unary_op_definition = 'a∀⊥⇻ = { ((a∠⫱a)/(a⊝⪿⪼a)) }', output=0","layer":1},{"info":"number node, value=4895","layer":4},{"info":"number node, value=1391","layer":4},{"info":"compute binary expreesion, left_input=4895, right_input=1391, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"number node, value=3369","layer":4},{"info":"number node, value=6959","layer":4},{"info":"compute binary expreesion, left_input=3369, right_input=6959, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=-1936","layer":2},{"info":"compute unary expreesion, input=-1936, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=422, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":0}],"base":7,"result_base":7,"text":"(((≴∭⊉4502∲⫓≴∭⊉20646)∣≴∭⊉23054↓≴∭⊉6661)∀⊥⇻)⋅⇍(⪁⇼((≴∭⊉20162∖≴∭⊉4025)⪡(≴∭⊉12552+⇶⊼≴∭⊉26201)))=≴∭⊉-31","reverse_text":"≴∭⊉-31=(((≴∭⊉4502∲⫓≴∭⊉20646)∣≴∭⊉23054↓≴∭⊉6661)∀⊥⇻)⋅⇍(⪁⇼((≴∭⊉20162∖≴∭⊉4025)⪡(≴∭⊉12552+⇶⊼≴∭⊉26201)))","cot":[{"info":"≴∭⊉4502∲⫓≴∭⊉20646=≴∭⊉0","layer":3},{"info":"≴∭⊉23054↓≴∭⊉6661=≴∭⊉-251","layer":3},{"info":"≴∭⊉0∣≴∭⊉-251=≴∭⊉2535","layer":2},{"info":"≴∭⊉2535∀⊥⇻=≴∭⊉0","layer":1},{"info":"≴∭⊉20162∖≴∭⊉4025=≴∭⊉0","layer":3},{"info":"≴∭⊉12552+⇶⊼≴∭⊉26201=NaN","layer":3},{"info":"≴∭⊉0⪡NaN=≴∭⊉-5434","layer":2},{"info":"⪁⇼≴∭⊉-5434=≴∭⊉1142","layer":1},{"info":"≴∭⊉0⋅⇍≴∭⊉1142=≴∭⊉-31","layer":0}]}
+{"id":765,"expression_no_base_symbol":"((⊀$3458$)⩦($7204$*$2308$)⨚⇆($5780$≧⫂∧$7485$⨭⪣(⇾⩊⇾$2585$)))∛((($1947$⇄$2405$)≃⋄)⊅)","expression":"((⊀≴∭⊉13040)⩦(≴∭⊉30001*≴∭⊉6505)⨚⇆(≴∭⊉22565≧⫂∧≴∭⊉30552⨭⪣(⇾⩊⇾≴∭⊉10352)))∛(((≴∭⊉5451⇄≴∭⊉10004)≃⋄)⊅)","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":192585,"operation_count":11,"complexity_ratio":17507.727272727272,"tree":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"numeric_atoms","value":3458,"base":7}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":7204,"base":7},"right_expr":{"type":"numeric_atoms","value":2308,"base":7}}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":5780,"base":7},"right_expr":{"type":"numeric_atoms","value":7485,"base":7}},"right_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"numeric_atoms","value":2585,"base":7}}}},"right_expr":{"type":"unary","operator":"⊅","unary_expr":{"type":"unary","operator":"≃⋄","unary_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":1947,"base":7},"right_expr":{"type":"numeric_atoms","value":2405,"base":7}}}}},"used_operators":["w2537kitQq","lwHaAYXP2r","0kmYd0q39Y","oPMjh9089D","9HNa5Wba9A","kn8WO9XteQ","Ph9nP6C5qx","bx9Z9DAK5y","7p6YLioM7f","aN9a90urxU","3EYGwJThht"],"dependent_operators":["DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","W4YGzv6Whe","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","SUmda5xLS4","vg4gO5BX6G","HrjLwUk87U","uFcxV4UQCh","jLgFTUHLKL","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3458","layer":4},{"info":"compute unary expreesion, input=3458, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=13570","layer":3},{"info":"number node, value=7204","layer":4},{"info":"number node, value=2308","layer":4},{"info":"compute binary expreesion, left_input=7204, right_input=2308, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=16626832","layer":3},{"info":"compute binary expreesion, left_input=13570, right_input=16626832, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=27140","layer":2},{"info":"number node, value=5780","layer":4},{"info":"number node, value=7485","layer":4},{"info":"compute binary expreesion, left_input=5780, right_input=7485, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=7012","layer":3},{"info":"number node, value=2585","layer":4},{"info":"compute unary expreesion, input=2585, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-29751","layer":3},{"info":"compute binary expreesion, left_input=7012, right_input=-29751, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=5733","layer":2},{"info":"compute binary expreesion, left_input=27140, right_input=5733, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":1},{"info":"number node, value=1947","layer":4},{"info":"number node, value=2405","layer":4},{"info":"compute binary expreesion, left_input=1947, right_input=2405, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = aN9a90urxU, unary_op_definition = 'a≃⋄ = { (↩(252⪛a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 7p6YLioM7f, unary_op_definition = 'a⊅ = { ((a⪄a)⊨(517⪚a)) }', output=16947","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=16947, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((⊀≴∭⊉13040)⩦(≴∭⊉30001*≴∭⊉6505)⨚⇆(≴∭⊉22565≧⫂∧≴∭⊉30552⨭⪣(⇾⩊⇾≴∭⊉10352)))∛(((≴∭⊉5451⇄≴∭⊉10004)≃⋄)⊅)=NaN","reverse_text":"NaN=((⊀≴∭⊉13040)⩦(≴∭⊉30001*≴∭⊉6505)⨚⇆(≴∭⊉22565≧⫂∧≴∭⊉30552⨭⪣(⇾⩊⇾≴∭⊉10352)))∛(((≴∭⊉5451⇄≴∭⊉10004)≃⋄)⊅)","cot":[{"info":"⊀≴∭⊉13040=≴∭⊉54364","layer":3},{"info":"≴∭⊉30001*≴∭⊉6505=≴∭⊉261216505","layer":3},{"info":"≴∭⊉54364⩦≴∭⊉261216505=≴∭⊉142061","layer":2},{"info":"≴∭⊉22565≧⫂∧≴∭⊉30552=≴∭⊉26305","layer":3},{"info":"⇾⩊⇾≴∭⊉10352=≴∭⊉-152511","layer":3},{"info":"≴∭⊉26305⨭⪣≴∭⊉-152511=≴∭⊉22500","layer":2},{"info":"≴∭⊉142061⨚⇆≴∭⊉22500=NaN","layer":1},{"info":"≴∭⊉5451⇄≴∭⊉10004=≴∭⊉0","layer":3},{"info":"≴∭⊉0≃⋄=NaN","layer":2},{"info":"NaN⊅=≴∭⊉100260","layer":1},{"info":"NaN∛≴∭⊉100260=NaN","layer":0}]}
+{"id":766,"expression_no_base_symbol":"($1728$⨂≜$1792$≎⊠⪸$2586$∴$1326$∽(⊥$7234$)→⨶⪴(⋗⩴⪓$7230$))⊍⩺⋍(($3544$⊢)⪁$3126$≹⇙⪍$3383$)⨓($6795$⫔⩽⩺$3288$∐⫣)","expression":"(≴∭⊉5016⨂≜≴∭⊉5140≎⊠⪸≴∭⊉10353∴≴∭⊉3603∽(⊥≴∭⊉30043)→⨶⪴(⋗⩴⪓≴∭⊉30036))⊍⩺⋍((≴∭⊉13222⊢)⪁≴∭⊉12054≹⇙⪍≴∭⊉12602)⨓(≴∭⊉25545⫔⩽⩺≴∭⊉12405∐⫣)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":13163,"operation_count":14,"complexity_ratio":940.2142857142857,"tree":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":1728,"base":7},"right_expr":{"type":"numeric_atoms","value":1792,"base":7}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":2586,"base":7},"right_expr":{"type":"numeric_atoms","value":1326,"base":7}}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":7234,"base":7}},"right_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"numeric_atoms","value":7230,"base":7}}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"unary","operator":"⊢","unary_expr":{"type":"numeric_atoms","value":3544,"base":7}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":3126,"base":7},"right_expr":{"type":"numeric_atoms","value":3383,"base":7}}},"right_expr":{"type":"unary","operator":"∐⫣","unary_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":6795,"base":7},"right_expr":{"type":"numeric_atoms","value":3288,"base":7}}}}},"used_operators":["OXDGMFPWZM","y4ImoPnbV5","bJkvcejdHO","k1SHOSEABc","hrf7POJlIJ","bF6eod5Gvf","Q3PJZHRvZv","nOKPl9n5zu","3ViojmjbAp","I7sXao9hZE","40aOVDgCDB","AHs5Up7iyr","4CyGpkTkEk","i9eR4S00cU"],"dependent_operators":["kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","NTOWxs364D","QMFrweE19q","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","8w2t5hMYqp","9FxExcQeMw","fu6greOZ01","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","NTOWxs364D","dWAJyo7jo9","XPYlsWDdGa","eewbuw0ToL","e1ybzncUwg","Tw270M8GLb","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1728","layer":4},{"info":"number node, value=1792","layer":4},{"info":"compute binary expreesion, left_input=1728, right_input=1792, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"number node, value=2586","layer":4},{"info":"number node, value=1326","layer":4},{"info":"compute binary expreesion, left_input=2586, right_input=1326, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=6820","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6820, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=nan","layer":2},{"info":"number node, value=7234","layer":4},{"info":"compute unary expreesion, input=7234, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=7230","layer":4},{"info":"compute unary expreesion, input=7230, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪���⇹a))) , else }', output=-6317","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-6317, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=nan","layer":1},{"info":"number node, value=3544","layer":4},{"info":"compute unary expreesion, input=3544, op_id = 40aOVDgCDB, unary_op_definition = 'a⊢ = { a , if a<=675 ; (a⩚⊴⇥126) , else }', output=-3791","layer":3},{"info":"number node, value=3126","layer":4},{"info":"number node, value=3383","layer":4},{"info":"compute binary expreesion, left_input=3126, right_input=3383, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-3791, right_input=nan, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"number node, value=6795","layer":4},{"info":"number node, value=3288","layer":4},{"info":"compute binary expreesion, left_input=6795, right_input=3288, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 4CyGpkTkEk, unary_op_definition = 'a∐⫣ = { (≉(⪲⇎(a⨰a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉5016⨂≜≴∭⊉5140≎⊠⪸≴∭⊉10353∴≴∭⊉3603∽(⊥≴∭⊉30043)→⨶⪴(⋗⩴⪓≴∭⊉30036))⊍⩺⋍((≴∭⊉13222⊢)⪁≴∭⊉12054≹⇙⪍≴∭⊉12602)⨓(≴∭⊉25545⫔⩽⩺≴∭⊉12405∐⫣)=NaN","reverse_text":"NaN=(≴∭⊉5016⨂≜≴∭⊉5140≎⊠⪸≴∭⊉10353∴≴∭⊉3603∽(⊥≴∭⊉30043)→⨶⪴(⋗⩴⪓≴∭⊉30036))⊍⩺⋍((≴∭⊉13222⊢)⪁≴∭⊉12054≹⇙⪍≴∭⊉12602)⨓(≴∭⊉25545⫔⩽⩺≴∭⊉12405∐⫣)","cot":[{"info":"≴∭⊉5016⨂≜≴∭⊉5140=NaN","layer":3},{"info":"≴∭⊉10353∴≴∭⊉3603=≴∭⊉25612","layer":3},{"info":"NaN≎⊠⪸≴∭⊉25612=NaN","layer":2},{"info":"⊥≴∭⊉30043=NaN","layer":3},{"info":"⋗⩴⪓≴∭⊉30036=≴∭⊉-24263","layer":3},{"info":"NaN→⨶⪴≴∭⊉-24263=NaN","layer":2},{"info":"NaN∽NaN=NaN","layer":1},{"info":"≴∭⊉13222⊢=≴∭⊉-14024","layer":3},{"info":"≴∭⊉12054≹⇙⪍≴∭⊉12602=NaN","layer":3},{"info":"≴∭⊉-14024⪁NaN=NaN","layer":2},{"info":"≴∭⊉25545⫔⩽⩺≴∭⊉12405=NaN","layer":3},{"info":"NaN∐⫣=NaN","layer":2},{"info":"NaN⨓NaN=NaN","layer":1},{"info":"NaN⊍⩺⋍NaN=NaN","layer":0}]}
+{"id":767,"expression_no_base_symbol":"(⨛(∜⨇(↨⩢⫨$1886$)))∣($4218$⊮⊟↴$2584$⪡(∤$2027$)⪇≇⋚($4115$≝⊿$4650$↫))","expression":"(⨛(∜⨇(↨⩢⫨≴∭⊉5333)))∣(≴∭⊉15204⊮⊟↴≴∭⊉10351⪡(∤≴∭⊉5624)⪇≇⋚(≴∭⊉14666≝⊿≴∭⊉16362↫))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":251,"operation_count":10,"complexity_ratio":25.1,"tree":{"type":"binary","operator":"∣","left_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"numeric_atoms","value":1886,"base":7}}}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":4218,"base":7},"right_expr":{"type":"numeric_atoms","value":2584,"base":7}},"right_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"numeric_atoms","value":2027,"base":7}}},"right_expr":{"type":"unary","operator":"↫","unary_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":4115,"base":7},"right_expr":{"type":"numeric_atoms","value":4650,"base":7}}}}},"used_operators":["PPChnnnBFF","CoMdbyAt7R","uFPyJr306J","Z5CJsN7DuW","3sJ7IOPOlU","oraRL2iQuh","QDVgd2eftb","k2HlF1dBQh","uPb5QRN0te","OKKcZfAt5B"],"dependent_operators":["eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","i8ToyICDmI","2DQ55sFlQl","t8gj7n24qd","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1886","layer":4},{"info":"compute unary expreesion, input=1886, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":1},{"info":"number node, value=4218","layer":4},{"info":"number node, value=2584","layer":4},{"info":"compute binary expreesion, left_input=4218, right_input=2584, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"number node, value=2027","layer":4},{"info":"compute unary expreesion, input=2027, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=9, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=-1936","layer":2},{"info":"number node, value=4115","layer":4},{"info":"number node, value=4650","layer":4},{"info":"compute binary expreesion, left_input=4115, right_input=4650, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-13948","layer":3},{"info":"compute unary expreesion, input=-13948, op_id = uPb5QRN0te, unary_op_definition = 'a↫ = { (a∲⫓a) , if (-a)>=333 ; (a⨵⪆a) , else }', output=-13948","layer":2},{"info":"compute binary expreesion, left_input=-1936, right_input=-13948, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(⨛(∜⨇(↨⩢⫨≴∭⊉5333)))∣(≴∭⊉15204⊮⊟↴≴∭⊉10351⪡(∤≴∭⊉5624)⪇≇⋚(≴∭⊉14666≝⊿≴∭⊉16362↫))=NaN","reverse_text":"NaN=(⨛(∜⨇(↨⩢⫨≴∭⊉5333)))∣(≴∭⊉15204⊮⊟↴≴∭⊉10351⪡(∤≴∭⊉5624)⪇≇⋚(≴∭⊉14666≝⊿≴∭⊉16362↫))","cot":[{"info":"↨⩢⫨≴∭⊉5333=≴∭⊉0","layer":3},{"info":"∜⨇≴∭⊉0=≴∭⊉0","layer":2},{"info":"⨛≴∭⊉0=NaN","layer":1},{"info":"≴∭⊉15204⊮⊟↴≴∭⊉10351=≴∭⊉0","layer":3},{"info":"∤≴∭⊉5624=≴∭⊉12","layer":3},{"info":"≴∭⊉0⪡≴∭⊉12=≴∭⊉-5434","layer":2},{"info":"≴∭⊉14666≝⊿≴∭⊉16362=≴∭⊉-55444","layer":3},{"info":"≴∭⊉-55444↫=≴∭⊉-55444","layer":2},{"info":"≴∭⊉-5434⪇≇⋚≴∭⊉-55444=≴∭⊉0","layer":1},{"info":"NaN∣≴∭⊉0=NaN","layer":0}]}
+{"id":768,"expression_no_base_symbol":"⨭⩧⫛((⩷($2941$⊪))-($3328$⩘$4203$)⨸($4821$⫥∨⫟$1401$))","expression":"⨭⩧⫛((⩷(≴∭⊉11401⊪))-(≴∭⊉12463⩘≴∭⊉15153)⨸(≴∭⊉20025⫥∨⫟≴∭⊉4041))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":159782,"operation_count":7,"complexity_ratio":22826.0,"tree":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":2941,"base":7}}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":3328,"base":7},"right_expr":{"type":"numeric_atoms","value":4203,"base":7}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":4821,"base":7},"right_expr":{"type":"numeric_atoms","value":1401,"base":7}}}}},"used_operators":["g21JL6JxX7","rysDP5nf3Z","1h0rLqGiFr","zVYPLywUTj","KmoU8R5UQR","cHh1gJQ2o6","KYD54nUTWz"],"dependent_operators":["Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2941","layer":4},{"info":"compute unary expreesion, input=2941, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)��⫂∧(21*a))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-79","layer":2},{"info":"number node, value=3328","layer":4},{"info":"number node, value=4203","layer":4},{"info":"compute binary expreesion, left_input=3328, right_input=4203, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"number node, value=4821","layer":4},{"info":"number node, value=1401","layer":4},{"info":"compute binary expreesion, left_input=4821, right_input=1401, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=320","layer":2},{"info":"compute binary expreesion, left_input=-79, right_input=320, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-399","layer":1},{"info":"compute unary expreesion, input=-399, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"⨭⩧⫛((⩷(≴∭⊉11401⊪))-(≴∭⊉12463⩘≴∭⊉15153)⨸(≴∭⊉20025⫥∨⫟≴∭⊉4041))=NaN","reverse_text":"NaN=⨭⩧⫛((⩷(≴∭⊉11401⊪))-(≴∭⊉12463⩘≴∭⊉15153)⨸(≴∭⊉20025⫥∨⫟≴∭⊉4041))","cot":[{"info":"≴∭⊉11401⊪=≴∭⊉0","layer":3},{"info":"⩷≴∭⊉0=≴∭⊉-142","layer":2},{"info":"≴∭⊉12463⩘≴∭⊉15153=≴∭⊉316","layer":3},{"info":"≴∭⊉20025⫥∨⫟≴∭⊉4041=NaN","layer":3},{"info":"≴∭⊉316⨸NaN=≴∭⊉635","layer":2},{"info":"≴∭⊉-142-≴∭⊉635=≴∭⊉-1110","layer":1},{"info":"⨭⩧⫛≴∭⊉-1110=NaN","layer":0}]}
+{"id":769,"expression_no_base_symbol":"(⪸($6564$⫌⩉⩟$1426$))⫣⪄⊒(($2550$⪛$1569$)⩘(+⊝⨔$2171$))∷((⇐$3745$)∽$1230$⩁⩘$1216$)⋭≵($6126$⪥⨬⪅)⪄$1779$↤⩊$3942$","expression":"(⪸(≴∭⊉25065⫌⩉⩟≴∭⊉4105))⫣⪄⊒((≴∭⊉10302⪛≴∭⊉4401)⩘(+⊝⨔≴∭⊉6221))∷((⇐≴∭⊉13630)∽≴∭⊉3405⩁⩘≴∭⊉3355)⋭≵(≴∭⊉23601⪥⨬⪅)⪄≴∭⊉5121↤⩊≴∭⊉14331","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":7666,"operation_count":14,"complexity_ratio":547.5714285714286,"tree":{"type":"binary","operator":"∷","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":6564,"base":7},"right_expr":{"type":"numeric_atoms","value":1426,"base":7}}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2550,"base":7},"right_expr":{"type":"numeric_atoms","value":1569,"base":7}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":2171,"base":7}}}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"∽","left_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"numeric_atoms","value":3745,"base":7}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":1230,"base":7},"right_expr":{"type":"numeric_atoms","value":1216,"base":7}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⪥⨬⪅","unary_expr":{"type":"numeric_atoms","value":6126,"base":7}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":1779,"base":7},"right_expr":{"type":"numeric_atoms","value":3942,"base":7}}}}},"used_operators":["D3AQDKkPcf","RabNbG55vr","86A5ENbKR9","XIIwhv8d0m","cHh1gJQ2o6","uFcxV4UQCh","DhbWaqg5eL","jBncVCNhdl","y4ImoPnbV5","nmZMaaE0Q9","gub5Cegaqo","SUmda5xLS4","zNRQejTB5A","13rbtpv6ld"],"dependent_operators":["9FxExcQeMw","NTOWxs364D","7j4O788W3g","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","NTOWxs364D","QMFrweE19q","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","DpFCA1CohY","IWmyXbctLI","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","d7ASUq0ydm","Uaa54Peajs","3EYGwJThht","y4ImoPnbV5","JwTKLfZU96","rJVOvQCfKK","uWAJUKEvyW","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY"],"result":"≴∭⊉-2532","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6564","layer":4},{"info":"number node, value=1426","layer":4},{"info":"compute binary expreesion, left_input=6564, right_input=1426, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute unary expreesion, input=-50, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=3323","layer":2},{"info":"number node, value=2550","layer":4},{"info":"number node, value=1569","layer":4},{"info":"compute binary expreesion, left_input=2550, right_input=1569, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=981","layer":3},{"info":"number node, value=2171","layer":4},{"info":"compute unary expreesion, input=2171, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":3},{"info":"compute binary expreesion, left_input=981, right_input=1522, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=3323, right_input=160, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=160","layer":1},{"info":"number node, value=3745","layer":4},{"info":"compute unary expreesion, input=3745, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=9696","layer":3},{"info":"number node, value=1230","layer":4},{"info":"number node, value=1216","layer":4},{"info":"compute binary expreesion, left_input=1230, right_input=1216, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=5812","layer":3},{"info":"compute binary expreesion, left_input=9696, right_input=5812, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-65738","layer":2},{"info":"number node, value=6126","layer":4},{"info":"compute unary expreesion, input=6126, op_id = zNRQejTB5A, unary_op_definition = 'a⪥⨬⪅ = { (((a⨎1)⊹∫⫚(a⇄a))⫯⪬∳((a∽a)↳≱(∂a))) }', output=-473","layer":3},{"info":"number node, value=1779","layer":4},{"info":"number node, value=3942","layer":4},{"info":"compute binary expreesion, left_input=1779, right_input=3942, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-473, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":2},{"info":"compute binary expreesion, left_input=-65738, right_input=3979, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=67, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=-954","layer":0}],"base":7,"result_base":7,"text":"(⪸(≴∭⊉25065⫌⩉⩟≴∭⊉4105))⫣⪄⊒((≴∭⊉10302⪛≴∭⊉4401)⩘(+⊝⨔≴∭⊉6221))∷((⇐≴∭⊉13630)∽≴∭⊉3405⩁⩘≴∭⊉3355)⋭≵(≴∭⊉23601⪥⨬⪅)⪄≴∭⊉5121↤⩊≴∭⊉14331=≴∭⊉-2532","reverse_text":"≴∭⊉-2532=(⪸(≴∭⊉25065⫌⩉⩟≴∭⊉4105))⫣⪄⊒((≴∭⊉10302⪛≴∭⊉4401)⩘(+⊝⨔≴∭⊉6221))∷((⇐≴∭⊉13630)∽≴∭⊉3405⩁⩘≴∭⊉3355)⋭≵(≴∭⊉23601⪥⨬⪅)⪄≴∭⊉5121↤⩊≴∭⊉14331","cot":[{"info":"≴∭⊉25065⫌⩉⩟≴∭⊉4105=≴∭⊉-101","layer":3},{"info":"⪸≴∭⊉-101=≴∭⊉12455","layer":2},{"info":"≴∭⊉10302⪛≴∭⊉4401=≴∭⊉2601","layer":3},{"info":"+⊝⨔≴∭⊉6221=≴∭⊉4303","layer":3},{"info":"≴∭⊉2601⩘≴∭⊉4303=≴∭⊉316","layer":2},{"info":"≴∭⊉12455⫣⪄⊒≴∭⊉316=≴∭⊉316","layer":1},{"info":"⇐≴∭⊉13630=≴∭⊉40161","layer":3},{"info":"≴∭⊉3405⩁⩘≴∭⊉3355=≴∭⊉22642","layer":3},{"info":"≴∭⊉40161∽≴∭⊉22642=≴∭⊉-362441","layer":2},{"info":"≴∭⊉23601⪥⨬⪅=≴∭⊉-1244","layer":3},{"info":"≴∭⊉5121↤⩊≴∭⊉14331=NaN","layer":3},{"info":"≴∭⊉-1244⪄NaN=≴∭⊉14413","layer":2},{"info":"≴∭⊉-362441⋭≵≴∭⊉14413=≴∭⊉124","layer":1},{"info":"≴∭⊉316∷≴∭⊉124=≴∭⊉-2532","layer":0}]}
+{"id":770,"expression_no_base_symbol":"($1957$⫲≸⪮$1850$⋷$1021$⩹$7372$)⇡⇂((⪡⇡≛$1712$)∀⊥⇻)↼⊘⨖((↨⩢⫨$3630$)∷$3083$∌↝$2052$)⩼⇪↪($1287$↢$5179$⋆⋳)","expression":"(≴∭⊉5464⫲≸⪮≴∭⊉5252⋷≴∭⊉2656⩹≴∭⊉30331)⇡⇂((⪡⇡≛≴∭⊉4664)∀⊥⇻)↼⊘⨖((↨⩢⫨≴∭⊉13404)∷≴∭⊉11663∌↝≴∭⊉5661)⩼⇪↪(≴∭⊉3516↢≴∭⊉21046⋆⋳)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":3439,"operation_count":13,"complexity_ratio":264.53846153846155,"tree":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":1957,"base":7},"right_expr":{"type":"numeric_atoms","value":1850,"base":7}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":1021,"base":7},"right_expr":{"type":"numeric_atoms","value":7372,"base":7}}},"right_expr":{"type":"unary","operator":"∀⊥⇻","unary_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"numeric_atoms","value":1712,"base":7}}}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"numeric_atoms","value":3630,"base":7}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":3083,"base":7},"right_expr":{"type":"numeric_atoms","value":2052,"base":7}}},"right_expr":{"type":"unary","operator":"⋆⋳","unary_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":1287,"base":7},"right_expr":{"type":"numeric_atoms","value":5179,"base":7}}}}},"used_operators":["bPywburJMS","UMwdvZNt44","23Mk6UjR3U","P3lXMJvFrc","2Wsdkap16l","k4iM1060OG","qL4PrbW1Dq","ocnLzx9CaJ","D3AQDKkPcf","Z5CJsN7DuW","9Isq31Ruls","6MpZysEj17","WR6HLWljOP"],"dependent_operators":["9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QvoQhV0rrE","XhwjNDsVaA","3Oe9XWJUTD","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","9FxExcQeMw","NTOWxs364D","7j4O788W3g","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","9FxExcQeMw","7j4O788W3g","DIvbN7qnHd","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C"],"result":"≴∭⊉103246","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1957","layer":4},{"info":"number node, value=1850","layer":4},{"info":"compute binary expreesion, left_input=1957, right_input=1850, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=1957","layer":3},{"info":"number node, value=1021","layer":4},{"info":"number node, value=7372","layer":4},{"info":"compute binary expreesion, left_input=1021, right_input=7372, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=7370","layer":3},{"info":"compute binary expreesion, left_input=1957, right_input=7370, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=12783","layer":2},{"info":"number node, value=1712","layer":4},{"info":"compute unary expreesion, input=1712, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-1712","layer":3},{"info":"compute unary expreesion, input=-1712, op_id = k4iM1060OG, unary_op_definition = 'a∀⊥⇻ = { ((a∠⫱a)/(a⊝⪿⪼a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=12783, right_input=0, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":1},{"info":"number node, value=3630","layer":4},{"info":"compute unary expreesion, input=3630, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":3},{"info":"number node, value=3083","layer":4},{"info":"number node, value=2052","layer":4},{"info":"compute binary expreesion, left_input=3083, right_input=2052, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=-794","layer":2},{"info":"number node, value=1287","layer":4},{"info":"number node, value=5179","layer":4},{"info":"compute binary expreesion, left_input=1287, right_input=5179, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=803","layer":3},{"info":"compute unary expreesion, input=803, op_id = 6MpZysEj17, unary_op_definition = 'a⋆⋳ = { ((a⊠≄⫣)⩷∴(a↺a)) }', output=-1638","layer":2},{"info":"compute binary expreesion, left_input=-794, right_input=-1638, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=9095","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=9095, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=17968","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉5464⫲≸⪮≴∭⊉5252⋷≴∭⊉2656⩹≴∭⊉30331)⇡⇂((⪡⇡≛≴∭⊉4664)∀⊥⇻)↼⊘⨖((↨⩢⫨≴∭⊉13404)∷≴∭⊉11663∌↝≴∭⊉5661)⩼⇪↪(≴∭⊉3516↢≴∭⊉21046⋆⋳)=≴∭⊉103246","reverse_text":"≴∭⊉103246=(≴∭⊉5464⫲≸⪮≴∭⊉5252⋷≴∭⊉2656⩹≴∭⊉30331)⇡⇂((⪡⇡≛≴∭⊉4664)∀⊥⇻)↼⊘⨖((↨⩢⫨≴∭⊉13404)∷≴∭⊉11663∌↝≴∭⊉5661)⩼⇪↪(≴∭⊉3516↢≴∭⊉21046⋆⋳)","cot":[{"info":"≴∭⊉5464⫲≸⪮≴∭⊉5252=≴∭⊉5464","layer":3},{"info":"≴∭⊉2656⩹≴∭⊉30331=≴∭⊉30326","layer":3},{"info":"≴∭⊉5464⋷≴∭⊉30326=≴∭⊉52161","layer":2},{"info":"⪡⇡≛≴∭⊉4664=≴∭⊉-4664","layer":3},{"info":"≴∭⊉-4664∀⊥⇻=≴∭⊉0","layer":2},{"info":"≴∭⊉52161⇡⇂≴∭⊉0=NaN","layer":1},{"info":"↨⩢⫨≴∭⊉13404=≴∭⊉0","layer":3},{"info":"≴∭⊉11663∌↝≴∭⊉5661=≴∭⊉0","layer":3},{"info":"≴∭⊉0∷≴∭⊉0=≴∭⊉-2213","layer":2},{"info":"≴∭⊉3516↢≴∭⊉21046=≴∭⊉2225","layer":3},{"info":"≴∭⊉2225⋆⋳=≴∭⊉-4530","layer":2},{"info":"≴∭⊉-2213⩼⇪↪≴∭⊉-4530=≴∭⊉35342","layer":1},{"info":"NaN↼⊘⨖≴∭⊉35342=≴∭⊉103246","layer":0}]}
+{"id":771,"expression_no_base_symbol":"(⊙↵-(⊽($3716$∝$8204$)))⩖⊿(($2381$∋$1553$)↳≱$5983$⪬$1297$⫘((⊿$1134$)⪣⫩))","expression":"(⊙↵-(⊽(≴∭⊉13556∝≴∭⊉32630)))⩖⊿((≴∭⊉6641∋≴∭⊉4346)↳≱≴∭⊉23305⪬≴∭⊉3532⫘((⊿≴∭⊉3210)⪣⫩))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":9905,"operation_count":10,"complexity_ratio":990.5,"tree":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":3716,"base":7},"right_expr":{"type":"numeric_atoms","value":8204,"base":7}}}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":2381,"base":7},"right_expr":{"type":"numeric_atoms","value":1553,"base":7}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":5983,"base":7},"right_expr":{"type":"numeric_atoms","value":1297,"base":7}}},"right_expr":{"type":"unary","operator":"⪣⫩","unary_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"numeric_atoms","value":1134,"base":7}}}}},"used_operators":["RZ5CV9rWsJ","oWn0xqSxBt","QxG7OkqoLX","cTDWOvIxvz","48vC8HMD2b","JwTKLfZU96","ukq6epAj5P","Ez1Nq5fNfI","iuk5sVOGFA","DO4fhlbJSI"],"dependent_operators":["HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","7j4O788W3g","W4YGzv6Whe","COABgblf1C","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3716","layer":4},{"info":"number node, value=8204","layer":4},{"info":"compute binary expreesion, left_input=3716, right_input=8204, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=3721","layer":3},{"info":"compute unary expreesion, input=3721, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=8964","layer":2},{"info":"compute unary expreesion, input=8964, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":1},{"info":"number node, value=2381","layer":4},{"info":"number node, value=1553","layer":4},{"info":"compute binary expreesion, left_input=2381, right_input=1553, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=3287956","layer":3},{"info":"number node, value=5983","layer":4},{"info":"number node, value=1297","layer":4},{"info":"compute binary expreesion, left_input=5983, right_input=1297, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=3287956, right_input=1234, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":2},{"info":"number node, value=1134","layer":4},{"info":"compute unary expreesion, input=1134, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-5274","layer":3},{"info":"compute unary expreesion, input=-5274, op_id = iuk5sVOGFA, unary_op_definition = 'a⪣⫩ = { ((a⋥≓≎a)⋷(a+a)) , if a>=275 ; ((a∲⫓a)≧⫂∧(⪲⇎693)) , else }', output=913","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=913, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-1, right_input=nan, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(⊙↵-(⊽(≴∭⊉13556∝≴∭⊉32630)))⩖⊿((≴∭⊉6641∋≴∭⊉4346)↳≱≴∭⊉23305⪬≴∭⊉3532⫘((⊿≴∭⊉3210)⪣⫩))=NaN","reverse_text":"NaN=(⊙↵-(⊽(≴∭⊉13556∝≴∭⊉32630)))⩖⊿((≴∭⊉6641∋≴∭⊉4346)↳≱≴∭⊉23305⪬≴∭⊉3532⫘((⊿≴∭⊉3210)⪣⫩))","cot":[{"info":"≴∭⊉13556∝≴∭⊉32630=≴∭⊉13564","layer":3},{"info":"⊽≴∭⊉13564=≴∭⊉35064","layer":2},{"info":"⊙↵-≴∭⊉35064=≴∭⊉-1","layer":1},{"info":"≴∭⊉6641∋≴∭⊉4346=≴∭⊉36642610","layer":3},{"info":"≴∭⊉23305⪬≴∭⊉3532=≴∭⊉3412","layer":3},{"info":"≴∭⊉36642610↳≱≴∭⊉3412=≴∭⊉0","layer":2},{"info":"⊿≴∭⊉3210=≴∭⊉-21243","layer":3},{"info":"≴∭⊉-21243⪣⫩=≴∭⊉2443","layer":2},{"info":"≴∭⊉0⫘≴∭⊉2443=NaN","layer":1},{"info":"≴∭⊉-1⩖⊿NaN=NaN","layer":0}]}
+{"id":772,"expression_no_base_symbol":"⪡⇡≛((∷≠($4702$+⇶⊼$4550$))⨎(⩏⊷≩$1338$)⋾⨃∁(⫟$1591$))","expression":"⪡⇡≛((∷≠(≴∭⊉16465+⇶⊼≴∭⊉16160))⨎(⩏⊷≩≴∭⊉3621)⋾⨃∁(⫟≴∭⊉4432))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3985,"operation_count":7,"complexity_ratio":569.2857142857143,"tree":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":4702,"base":7},"right_expr":{"type":"numeric_atoms","value":4550,"base":7}}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"numeric_atoms","value":1338,"base":7}},"right_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"numeric_atoms","value":1591,"base":7}}}}},"used_operators":["qL4PrbW1Dq","rJVOvQCfKK","QiR2Oyf5Xj","TpPTUOHfaN","212REbPD9h","uOZ1tnYMDE","z4E1FaHLuy"],"dependent_operators":["oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","7j4O788W3g","AHs5Up7iyr","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","23Mk6UjR3U","12rbrZMWeM","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q"],"result":"≴∭⊉-3463531065","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4702","layer":4},{"info":"number node, value=4550","layer":4},{"info":"compute binary expreesion, left_input=4702, right_input=4550, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=nan","layer":2},{"info":"number node, value=1338","layer":4},{"info":"compute unary expreesion, input=1338, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=2375","layer":3},{"info":"number node, value=1591","layer":4},{"info":"compute unary expreesion, input=1591, op_id = z4E1FaHLuy, unary_op_definition = '⫟a = { (((-a)⪨≂(a⨸⪁a))≧⫂∧((a⩷∴a)⨰(a⫡⨏a))) , if (a⫌⩹⨱)>=11 ; (((a+263)⋝⋈⪟(a⨳⩥⨓a))⪒((a⋥≓≎a)⫩⊇)) , else }', output=-3866","layer":3},{"info":"compute binary expreesion, left_input=2375, right_input=-3866, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=149505858","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=149505858, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=149505858","layer":1},{"info":"compute unary expreesion, input=149505858, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-149505858","layer":0}],"base":7,"result_base":7,"text":"⪡⇡≛((∷≠(≴∭⊉16465+⇶⊼≴∭⊉16160))⨎(⩏⊷≩≴∭⊉3621)⋾⨃∁(⫟≴∭⊉4432))=≴∭⊉-3463531065","reverse_text":"≴∭⊉-3463531065=⪡⇡≛((∷≠(≴∭⊉16465+⇶⊼≴∭⊉16160))⨎(⩏⊷≩≴∭⊉3621)⋾⨃∁(⫟≴∭⊉4432))","cot":[{"info":"≴∭⊉16465+⇶⊼≴∭⊉16160=NaN","layer":3},{"info":"∷≠NaN=NaN","layer":2},{"info":"⩏⊷≩≴∭⊉3621=≴∭⊉6632","layer":3},{"info":"⫟≴∭⊉4432=≴∭⊉-14162","layer":3},{"info":"≴∭⊉6632⋾⨃∁≴∭⊉-14162=≴∭⊉3463531065","layer":2},{"info":"NaN⨎≴∭⊉3463531065=≴∭⊉3463531065","layer":1},{"info":"⪡⇡≛≴∭⊉3463531065=≴∭⊉-3463531065","layer":0}]}
+{"id":773,"expression_no_base_symbol":"(⩷⨜⫀((⩪∧⨌$1306$)↙$1102$⊢$1293$))∺≝⩲((≛$1146$≁$1810$)⋣⋖(($2000$↱$3224$)∀⋜↑))","expression":"(⩷⨜⫀((⩪∧⨌≴∭⊉3544)↙≴∭⊉3133⊢≴∭⊉3525))∺≝⩲((≛≴∭⊉3225≁≴∭⊉5164)⋣⋖((≴∭⊉5555↱≴∭⊉12254)∀⋜↑))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2644,"operation_count":10,"complexity_ratio":264.4,"tree":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"numeric_atoms","value":1306,"base":7}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":1102,"base":7},"right_expr":{"type":"numeric_atoms","value":1293,"base":7}}}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":1146,"base":7},"right_expr":{"type":"numeric_atoms","value":1810,"base":7}}},"right_expr":{"type":"unary","operator":"∀⋜↑","unary_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":2000,"base":7},"right_expr":{"type":"numeric_atoms","value":3224,"base":7}}}}},"used_operators":["KPf6cnQVty","CDi0ktkjQ4","yyfyN0ffXY","6iOiAJX1F8","5twsqlHp2o","J0M6qkBnIM","W7eaUhjymW","8N2wDY1A35","KipPnG1M2J","SR5kFfdi6N"],"dependent_operators":["BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","ruOEQAzv1W","nhYeJWJD5X","tmPS8pqC7x","DpFCA1CohY","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","eLAdDNolq6","23Mk6UjR3U","f6k1SAg4EE","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe"],"result":"≴∭⊉316","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1306","layer":4},{"info":"compute unary expreesion, input=1306, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=13060","layer":3},{"info":"number node, value=1102","layer":4},{"info":"number node, value=1293","layer":4},{"info":"compute binary expreesion, left_input=1102, right_input=1293, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-2448","layer":3},{"info":"compute binary expreesion, left_input=13060, right_input=-2448, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=7344","layer":2},{"info":"compute unary expreesion, input=7344, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-7071","layer":1},{"info":"number node, value=1146","layer":4},{"info":"number node, value=1810","layer":4},{"info":"compute binary expreesion, left_input=1146, right_input=1810, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=30239","layer":3},{"info":"compute unary expreesion, input=30239, op_id = W7eaUhjymW, unary_op_definition = '≛a = { (((a+a)⊉≛↸(a⪠⩆⊳))⊭↱((a⪒a)⩚⊴⇥(a⋝⋈⪟a))) , if (a⫩⊇)>7 or a==273 ; (((a-a)⪒(a⪨≂a))⊉≛↸((a⨰a)⋝⋈⪟(a+a))) , else }', output=-10","layer":2},{"info":"number node, value=2000","layer":4},{"info":"number node, value=3224","layer":4},{"info":"compute binary expreesion, left_input=2000, right_input=3224, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-9150","layer":3},{"info":"compute unary expreesion, input=-9150, op_id = KipPnG1M2J, unary_op_definition = 'a∀⋜↑ = { ((≤/a)⪒(a⋷a)) }', output=-27934","layer":2},{"info":"compute binary expreesion, left_input=-10, right_input=-27934, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=-10","layer":1},{"info":"compute binary expreesion, left_input=-7071, right_input=-10, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":0}],"base":7,"result_base":7,"text":"(⩷⨜⫀((⩪∧⨌≴∭⊉3544)↙≴∭⊉3133⊢≴∭⊉3525))∺≝⩲((≛≴∭⊉3225≁≴∭⊉5164)⋣⋖((≴∭⊉5555↱≴∭⊉12254)∀⋜↑))=≴∭⊉316","reverse_text":"≴∭⊉316=(⩷⨜⫀((⩪∧⨌≴∭⊉3544)↙≴∭⊉3133⊢≴∭⊉3525))∺≝⩲((≛≴∭⊉3225≁≴∭⊉5164)⋣⋖((≴∭⊉5555↱≴∭⊉12254)∀⋜↑))","cot":[{"info":"⩪∧⨌≴∭⊉3544=≴∭⊉53035","layer":3},{"info":"≴∭⊉3133⊢≴∭⊉3525=≴∭⊉-10065","layer":3},{"info":"≴∭⊉53035↙≴∭⊉-10065=≴∭⊉30261","layer":2},{"info":"⩷⨜⫀≴∭⊉30261=≴∭⊉-26421","layer":1},{"info":"≴∭⊉3225≁≴∭⊉5164=≴∭⊉154106","layer":3},{"info":"≛≴∭⊉154106=≴∭⊉-13","layer":2},{"info":"≴∭⊉5555↱≴∭⊉12254=≴∭⊉-35451","layer":3},{"info":"≴∭⊉-35451∀⋜↑=≴∭⊉-144304","layer":2},{"info":"≴∭⊉-13⋣⋖≴∭⊉-144304=≴∭⊉-13","layer":1},{"info":"≴∭⊉-26421∺≝⩲≴∭⊉-13=≴∭⊉316","layer":0}]}
+{"id":774,"expression_no_base_symbol":"(((⨰⫟⨤$1511$)⊴⇁⪶)⊔($4207$⩘$1004$)⋹⋡⊁($2624$⩱))∀⇚≩(($5216$⇮⋭$1225$⪹)⨶)","expression":"(((⨰⫟⨤≴∭⊉4256)⊴⇁⪶)⊔(≴∭⊉15160⩘≴∭⊉2633)⋹⋡⊁(≴∭⊉10436⩱))∀⇚≩((≴∭⊉21131⇮⋭≴∭⊉3400⪹)⨶)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5563,"operation_count":10,"complexity_ratio":556.3,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"unary","operator":"⊴⇁⪶","unary_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1511,"base":7}}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":4207,"base":7},"right_expr":{"type":"numeric_atoms","value":1004,"base":7}},"right_expr":{"type":"unary","operator":"⩱","unary_expr":{"type":"numeric_atoms","value":2624,"base":7}}}},"right_expr":{"type":"unary","operator":"⨶","unary_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":5216,"base":7},"right_expr":{"type":"numeric_atoms","value":1225,"base":7}}}}},"used_operators":["LRNGc0VcxI","E4l6HwMY31","oo9mF6JIpo","Tw270M8GLb","As8RqfVLgs","cHh1gJQ2o6","uyq1hVkAcj","rFxw8gIMmB","B3sABdIn96","vkpjKywKVM"],"dependent_operators":["X99M06cbEe","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","L05ObWFQCd","oacrs7FA3X","2Wsdkap16l","zR4jO40bMj","HrjLwUk87U","YSKBFp38Pu","cHh1gJQ2o6","tmPS8pqC7x","YbVcJGFEVW","12rbrZMWeM","DmTXOeWf9t","RhiyfpczSx","uOZ1tnYMDE","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","DpFCA1CohY","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","COABgblf1C","f6k1SAg4EE","Qy55tPpLXF","9FxExcQeMw","e1ybzncUwg","QMFrweE19q","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1511","layer":4},{"info":"compute unary expreesion, input=1511, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = oo9mF6JIpo, unary_op_definition = 'a⊴⇁⪶ = { (⊗((157⇤a)⋳⪒(a⨪↰⇹a))) , if ((a⪶≀⋏180)>=510 or (a⩘665)!=249) ; (((a⪍↜⋙a)≃(a⪚343))⪘⫢((a⩹a)⊲⩕⊾(⩏⊷≩a))) , else }', output=nan","layer":2},{"info":"number node, value=4207","layer":4},{"info":"number node, value=1004","layer":4},{"info":"compute binary expreesion, left_input=4207, right_input=1004, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"number node, value=2624","layer":4},{"info":"compute unary expreesion, input=2624, op_id = uyq1hVkAcj, unary_op_definition = 'a⩱ = { ((⋗⩬⋾(a⊭↱a))↺((a⨸⪁a)⪒(a⨸⪁125))) }', output=-15994","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-15994, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=10383","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=10383, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=nan","layer":1},{"info":"number node, value=5216","layer":4},{"info":"number node, value=1225","layer":4},{"info":"compute binary expreesion, left_input=5216, right_input=1225, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute unary expreesion, input=-473, op_id = B3sABdIn96, unary_op_definition = 'a⪹ = { ((402⫡⨏a)⩷∴(≉a)) }', output=4608","layer":2},{"info":"compute unary expreesion, input=4608, op_id = rFxw8gIMmB, unary_op_definition = 'a⨶ = { ((a⋥≓≎303)⪒(a⋥≓≎537)) }', output=7470","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=7470, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":0}],"base":7,"result_base":7,"text":"(((⨰⫟⨤≴∭⊉4256)⊴⇁⪶)⊔(≴∭⊉15160⩘≴∭⊉2633)⋹⋡⊁(≴∭⊉10436⩱))∀⇚≩((≴∭⊉21131⇮⋭≴∭⊉3400⪹)⨶)=NaN","reverse_text":"NaN=(((⨰⫟⨤≴∭⊉4256)⊴⇁⪶)⊔(≴∭⊉15160⩘≴∭⊉2633)⋹⋡⊁(≴∭⊉10436⩱))∀⇚≩((≴∭⊉21131⇮⋭≴∭⊉3400⪹)⨶)","cot":[{"info":"⨰⫟⨤≴∭⊉4256=NaN","layer":3},{"info":"NaN⊴⇁⪶=NaN","layer":2},{"info":"≴∭⊉15160⩘≴∭⊉2633=≴∭⊉316","layer":3},{"info":"≴∭⊉10436⩱=≴∭⊉-64426","layer":3},{"info":"≴∭⊉316⋹⋡⊁≴∭⊉-64426=≴∭⊉42162","layer":2},{"info":"NaN⊔≴∭⊉42162=NaN","layer":1},{"info":"≴∭⊉21131⇮⋭≴∭⊉3400=≴∭⊉-1244","layer":3},{"info":"≴∭⊉-1244⪹=≴∭⊉16302","layer":2},{"info":"≴∭⊉16302⨶=≴∭⊉30531","layer":1},{"info":"NaN∀⇚≩≴∭⊉30531=NaN","layer":0}]}
+{"id":775,"expression_no_base_symbol":"(⨂⪏⇭($2422$⨪↰⇹$2460$)⩼⇪↪(≸≮$7688$))⇍⊗(($3015$≨$5527$)⨽∌($6048$≠≀$8366$)⩵∡(⊊≼∋$3008$)⫁$8827$⋹⋡⊁$2169$)","expression":"(⨂⪏⇭(≴∭⊉10030⨪↰⇹≴∭⊉10113)⩼⇪↪(≸≮≴∭⊉31262))⇍⊗((≴∭⊉11535≨≴∭⊉22054)⨽∌(≴∭⊉23430≠≀≴∭⊉33251)⩵∡(⊊≼∋≴∭⊉11525)⫁≴∭⊉34510⋹⋡⊁≴∭⊉6216)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":80259,"operation_count":12,"complexity_ratio":6688.25,"tree":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2422,"base":7},"right_expr":{"type":"numeric_atoms","value":2460,"base":7}},"right_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"numeric_atoms","value":7688,"base":7}}}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":3015,"base":7},"right_expr":{"type":"numeric_atoms","value":5527,"base":7}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":6048,"base":7},"right_expr":{"type":"numeric_atoms","value":8366,"base":7}}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"numeric_atoms","value":3008,"base":7}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":8827,"base":7},"right_expr":{"type":"numeric_atoms","value":2169,"base":7}}}}},"used_operators":["5uvYHDjeKN","AYdpE9sXAk","ocnLzx9CaJ","tmPS8pqC7x","AljMvE3RRm","Y7wcNGrDQJ","9samAPKr6k","0KMCeP1Jsh","IwW236VD4Y","0ajvFaJAv0","FWz7pXsQhA","As8RqfVLgs"],"dependent_operators":["Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","rJVOvQCfKK","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","NTOWxs364D","glklzrTFfD","tifHPKVTfV","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","cHh1gJQ2o6","AHs5Up7iyr","B5M0gjZbta","jCPkEVoL5K","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux"],"result":"≴∭⊉-466","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2422","layer":4},{"info":"number node, value=2460","layer":4},{"info":"compute binary expreesion, left_input=2422, right_input=2460, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2422","layer":3},{"info":"number node, value=7688","layer":4},{"info":"compute unary expreesion, input=7688, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2422, right_input=nan, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=nan","layer":1},{"info":"number node, value=3015","layer":4},{"info":"number node, value=5527","layer":4},{"info":"compute binary expreesion, left_input=3015, right_input=5527, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-27674","layer":3},{"info":"number node, value=6048","layer":4},{"info":"number node, value=8366","layer":4},{"info":"compute binary expreesion, left_input=6048, right_input=8366, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-11790","layer":3},{"info":"compute binary expreesion, left_input=-27674, right_input=-11790, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":2},{"info":"number node, value=3008","layer":4},{"info":"compute unary expreesion, input=3008, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=-447","layer":3},{"info":"number node, value=8827","layer":4},{"info":"number node, value=2169","layer":4},{"info":"compute binary expreesion, left_input=8827, right_input=2169, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=2919","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=2919, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=160, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=39","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=39, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":0}],"base":7,"result_base":7,"text":"(⨂⪏⇭(≴∭⊉10030⨪↰⇹≴∭⊉10113)⩼⇪↪(≸≮≴∭⊉31262))⇍⊗((≴∭⊉11535≨≴∭⊉22054)⨽∌(≴∭⊉23430≠≀≴∭⊉33251)⩵∡(⊊≼∋≴∭⊉11525)⫁≴∭⊉34510⋹⋡⊁≴∭⊉6216)=≴∭⊉-466","reverse_text":"≴∭⊉-466=(⨂⪏⇭(≴∭⊉10030⨪↰⇹≴∭⊉10113)⩼⇪↪(≸≮≴∭⊉31262))⇍⊗((≴∭⊉11535≨≴∭⊉22054)⨽∌(≴∭⊉23430≠≀≴∭⊉33251)⩵∡(⊊≼∋≴∭⊉11525)⫁≴∭⊉34510⋹⋡⊁≴∭⊉6216)","cot":[{"info":"≴∭⊉10030⨪↰⇹≴∭⊉10113=≴∭⊉10030","layer":3},{"info":"≸≮≴∭⊉31262=NaN","layer":3},{"info":"≴∭⊉10030⩼⇪↪NaN=NaN","layer":2},{"info":"⨂⪏⇭NaN=NaN","layer":1},{"info":"≴∭⊉11535≨≴∭⊉22054=≴∭⊉-143453","layer":3},{"info":"≴∭⊉23430≠≀≴∭⊉33251=≴∭⊉-46242","layer":3},{"info":"≴∭⊉-143453⨽∌≴∭⊉-46242=≴∭⊉0","layer":2},{"info":"⊊≼∋≴∭⊉11525=≴∭⊉-1206","layer":3},{"info":"≴∭⊉34510⋹⋡⊁≴∭⊉6216=≴∭⊉11340","layer":3},{"info":"≴∭⊉-1206⫁≴∭⊉11340=≴∭⊉316","layer":2},{"info":"≴∭⊉0⩵∡≴∭⊉316=≴∭⊉54","layer":1},{"info":"NaN⇍⊗≴∭⊉54=≴∭⊉-466","layer":0}]}
+{"id":776,"expression_no_base_symbol":"((⪡⇡≛($1576$⫘$2508$))⋥≓≎($1044$⊮⊟↴$5326$⊦⊿))⨐⩸⫘($1203$↬$5297$)∺≝⩲($1048$⫿)⊹∫⫚(($2743$⋩≍≻)⫩)","expression":"((⪡⇡≛(≴∭⊉4411⫘≴∭⊉10212))⋥≓≎(≴∭⊉3021⊮⊟↴≴∭⊉21346⊦⊿))⨐⩸⫘(≴∭⊉3336↬≴∭⊉21305)∺≝⩲(≴∭⊉3025⫿)⊹∫⫚((≴∭⊉10666⋩≍≻)⫩)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1965,"operation_count":12,"complexity_ratio":163.75,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":1576,"base":7},"right_expr":{"type":"numeric_atoms","value":2508,"base":7}}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":1044,"base":7},"right_expr":{"type":"numeric_atoms","value":5326,"base":7}}}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1203,"base":7},"right_expr":{"type":"numeric_atoms","value":5297,"base":7}},"right_expr":{"type":"unary","operator":"⫿","unary_expr":{"type":"numeric_atoms","value":1048,"base":7}}},"right_expr":{"type":"unary","operator":"⫩","unary_expr":{"type":"unary","operator":"⋩≍≻","unary_expr":{"type":"numeric_atoms","value":2743,"base":7}}}}},"used_operators":["fu6greOZ01","Qy55tPpLXF","qL4PrbW1Dq","48vC8HMD2b","14qkJME0vr","QDVgd2eftb","uWAJUKEvyW","KPf6cnQVty","B5M0gjZbta","9tKT6PmtkH","6aG7x05OhS","WYd1w68Nbz"],"dependent_operators":["3ViojmjbAp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","rGHVDoGpnC","DpFCA1CohY","9ICcGScMcE","f6k1SAg4EE","dWAJyo7jo9","P8v4zCKN1o","Noe24qw2ks","mqXw5SEYmG","IWmyXbctLI","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1576","layer":4},{"info":"number node, value=2508","layer":4},{"info":"compute binary expreesion, left_input=1576, right_input=2508, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=1857781","layer":3},{"info":"compute unary expreesion, input=1857781, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-1857781","layer":2},{"info":"number node, value=1044","layer":4},{"info":"number node, value=5326","layer":4},{"info":"compute binary expreesion, left_input=1044, right_input=5326, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-79","layer":2},{"info":"compute binary expreesion, left_input=-1857781, right_input=-79, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":1},{"info":"number node, value=1203","layer":4},{"info":"number node, value=5297","layer":4},{"info":"compute binary expreesion, left_input=1203, right_input=5297, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=1048","layer":4},{"info":"compute unary expreesion, input=1048, op_id = 9tKT6PmtkH, unary_op_definition = 'a⫿ = { (≦∁a) , if (⋗⩬⋾a)<1 ; (a⪒a) , else }', output=1048","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1048, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":2},{"info":"number node, value=2743","layer":4},{"info":"compute unary expreesion, input=2743, op_id = WYd1w68Nbz, unary_op_definition = 'a⋩≍≻ = { (∥⊫(a⊭↱21)) , if a>=390 ; ((a⨐a)⫸⊐(a⪮%⊝a)) , else }', output=-55","layer":3},{"info":"compute unary expreesion, input=-55, op_id = 6aG7x05OhS, unary_op_definition = 'a⫩ = { (a⪢a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":7,"result_base":7,"text":"((⪡⇡≛(≴∭⊉4411⫘≴∭⊉10212))⋥≓≎(≴∭⊉3021⊮⊟↴≴∭⊉21346⊦⊿))⨐⩸⫘(≴∭⊉3336↬≴∭⊉21305)∺≝⩲(≴∭⊉3025⫿)⊹∫⫚((≴∭⊉10666⋩≍≻)⫩)=NaN","reverse_text":"NaN=((⪡⇡≛(≴∭⊉4411⫘≴∭⊉10212))⋥≓≎(≴∭⊉3021⊮⊟↴≴∭⊉21346⊦⊿))⨐⩸⫘(≴∭⊉3336↬≴∭⊉21305)∺≝⩲(≴∭⊉3025⫿)⊹∫⫚((≴∭⊉10666⋩≍≻)⫩)","cot":[{"info":"≴∭⊉4411⫘≴∭⊉10212=≴∭⊉21535162","layer":3},{"info":"⪡⇡≛≴∭⊉21535162=≴∭⊉-21535162","layer":2},{"info":"≴∭⊉3021⊮⊟↴≴∭⊉21346=≴∭⊉0","layer":3},{"info":"≴∭⊉0⊦⊿=≴∭⊉-142","layer":2},{"info":"≴∭⊉-21535162⋥≓≎≴∭⊉-142=≴∭⊉124","layer":1},{"info":"≴∭⊉3336↬≴∭⊉21305=NaN","layer":3},{"info":"≴∭⊉3025⫿=≴∭⊉3025","layer":3},{"info":"NaN∺≝⩲≴∭⊉3025=≴∭⊉316","layer":2},{"info":"≴∭⊉10666⋩≍≻=≴∭⊉-106","layer":3},{"info":"≴∭⊉-106⫩=NaN","layer":2},{"info":"≴∭⊉316⊹∫⫚NaN=NaN","layer":1},{"info":"≴∭⊉124⨐⩸⫘NaN=NaN","layer":0}]}
+{"id":777,"expression_no_base_symbol":"(⋼∭⪍$6345$⫯⪬∳$4244$)⨳⩥⨓($1561$⪒$9724$)⪥($6667$⪠⩆⊳)≀⩗∶($2190$⋾⨃∁$1169$∠⫱$1160$⫞⩸⩒$3800$)⋛(≇⪴($2231$⊹∫⫚$1788$))","expression":"(⋼∭⪍≴∭⊉24333⫯⪬∳≴∭⊉15242)⨳⩥⨓(≴∭⊉4360⪒≴∭⊉40231)⪥(≴∭⊉25303⪠⩆⊳)≀⩗∶(≴∭⊉6246⋾⨃∁≴∭⊉3260∠⫱≴∭⊉3245⫞⩸⩒≴∭⊉14036)⋛(≇⪴(≴∭⊉6335⊹∫⫚≴∭⊉5133))","highest_n_order":2,"priority_hierarchical_complexity":12,"normalized_expansion_degree":1391,"operation_count":13,"complexity_ratio":107.0,"tree":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":6345,"base":7},"right_expr":{"type":"numeric_atoms","value":4244,"base":7}}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1561,"base":7},"right_expr":{"type":"numeric_atoms","value":9724,"base":7}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":6667,"base":7}}}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":2190,"base":7},"right_expr":{"type":"numeric_atoms","value":1169,"base":7}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":1160,"base":7},"right_expr":{"type":"numeric_atoms","value":3800,"base":7}}},"right_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":2231,"base":7},"right_expr":{"type":"numeric_atoms","value":1788,"base":7}}}}},"used_operators":["8INZBEW696","nCS4ZIUYfx","DbCuESL50I","d7ASUq0ydm","QbnwKVWMIQ","f6k1SAg4EE","JLbD19bQDL","YbUVn0Rbpy","QvoQhV0rrE","212REbPD9h","XGcMNugi78","zoVPnxeHJ3","uWAJUKEvyW"],"dependent_operators":["KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","W4YGzv6Whe","rysDP5nf3Z","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL"],"result":"≴∭⊉3","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6345","layer":4},{"info":"number node, value=4244","layer":4},{"info":"compute binary expreesion, left_input=6345, right_input=4244, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=27514","layer":3},{"info":"compute unary expreesion, input=27514, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-108316","layer":2},{"info":"number node, value=1561","layer":4},{"info":"number node, value=9724","layer":4},{"info":"compute binary expreesion, left_input=1561, right_input=9724, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-11285","layer":3},{"info":"number node, value=6667","layer":4},{"info":"compute unary expreesion, input=6667, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-11285, right_input=0, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=-1798","layer":2},{"info":"compute binary expreesion, left_input=-108316, right_input=-1798, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=106518","layer":1},{"info":"number node, value=2190","layer":4},{"info":"number node, value=1169","layer":4},{"info":"compute binary expreesion, left_input=2190, right_input=1169, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=13651488","layer":3},{"info":"number node, value=1160","layer":4},{"info":"number node, value=3800","layer":4},{"info":"compute binary expreesion, left_input=1160, right_input=3800, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=3800","layer":3},{"info":"compute binary expreesion, left_input=13651488, right_input=3800, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":2},{"info":"number node, value=2231","layer":4},{"info":"number node, value=1788","layer":4},{"info":"compute binary expreesion, left_input=2231, right_input=1788, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-372","layer":3},{"info":"compute unary expreesion, input=-372, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-1488","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=-1488, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-3819","layer":1},{"info":"compute binary expreesion, left_input=106518, right_input=-3819, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=3","layer":0}],"base":7,"result_base":7,"text":"(⋼∭⪍≴∭⊉24333⫯⪬∳≴∭⊉15242)⨳⩥⨓(≴∭⊉4360⪒≴∭⊉40231)⪥(≴∭⊉25303⪠⩆⊳)≀⩗∶(≴∭⊉6246⋾⨃∁≴∭⊉3260∠⫱≴∭⊉3245⫞⩸⩒≴∭⊉14036)⋛(≇⪴(≴∭⊉6335⊹∫⫚≴∭⊉5133))=≴∭⊉3","reverse_text":"≴∭⊉3=(⋼∭⪍≴∭⊉24333⫯⪬∳≴∭⊉15242)⨳⩥⨓(≴∭⊉4360⪒≴∭⊉40231)⪥(≴∭⊉25303⪠⩆⊳)≀⩗∶(≴∭⊉6246⋾⨃∁≴∭⊉3260∠⫱≴∭⊉3245⫞⩸⩒≴∭⊉14036)⋛(≇⪴(≴∭⊉6335⊹∫⫚≴∭⊉5133))","cot":[{"info":"≴∭⊉24333⫯⪬∳≴∭⊉15242=≴∭⊉143134","layer":3},{"info":"⋼∭⪍≴∭⊉143134=≴∭⊉-630535","layer":2},{"info":"≴∭⊉4360⪒≴∭⊉40231=≴∭⊉-44621","layer":3},{"info":"≴∭⊉25303⪠⩆⊳=≴∭⊉0","layer":3},{"info":"≴∭⊉-44621⪥≴∭⊉0=≴∭⊉-5146","layer":2},{"info":"≴∭⊉-630535⨳⩥⨓≴∭⊉-5146=≴∭⊉622356","layer":1},{"info":"≴∭⊉6246⋾⨃∁≴∭⊉3260=≴∭⊉224015154","layer":3},{"info":"≴∭⊉3245⫞⩸⩒≴∭⊉14036=≴∭⊉14036","layer":3},{"info":"≴∭⊉224015154∠⫱≴∭⊉14036=≴∭⊉3412","layer":2},{"info":"≴∭⊉6335⊹∫⫚≴∭⊉5133=≴∭⊉-1041","layer":3},{"info":"≇⪴≴∭⊉-1041=≴∭⊉-4224","layer":2},{"info":"≴∭⊉3412⋛≴∭⊉-4224=≴∭⊉-14064","layer":1},{"info":"≴∭⊉622356≀⩗∶≴∭⊉-14064=≴∭⊉3","layer":0}]}
+{"id":778,"expression_no_base_symbol":"((⊊≼∋$1768$)⫠↝⫳)⨑⩅≇((↘$2422$)⨵⪆$2359$⩦$1023$)⋥≓≎(($3250$∸)≠≀$6764$⊝⪿⪼$4923$)↞⋁($1701$⋹⋡⊁$1378$⇴∐($4426$⋥≓≎$1456$))","expression":"((⊊≼∋≴∭⊉5104)⫠↝⫳)⨑⩅≇((↘≴∭⊉10030)⨵⪆≴∭⊉6610⩦≴∭⊉2661)⋥≓≎((≴∭⊉12322∸)≠≀≴∭⊉25502⊝⪿⪼≴∭⊉20232)↞⋁(≴∭⊉4650⋹⋡⊁≴∭���4006⇴∐(≴∭⊉15622⋥≓≎≴∭⊉4150))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":64893,"operation_count":14,"complexity_ratio":4635.214285714285,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"unary","operator":"⫠↝⫳","unary_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"numeric_atoms","value":1768,"base":7}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"numeric_atoms","value":2422,"base":7}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":2359,"base":7},"right_expr":{"type":"numeric_atoms","value":1023,"base":7}}}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":3250,"base":7}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":6764,"base":7},"right_expr":{"type":"numeric_atoms","value":4923,"base":7}}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":1701,"base":7},"right_expr":{"type":"numeric_atoms","value":1378,"base":7}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":4426,"base":7},"right_expr":{"type":"numeric_atoms","value":1456,"base":7}}}}},"used_operators":["Qy55tPpLXF","h92wMvzauj","8n5YIzOsVS","FWz7pXsQhA","2DQ55sFlQl","LdNpr8hQHL","0kmYd0q39Y","RqrPlJkxDo","IwW236VD4Y","o20kRiQErp","3Oe9XWJUTD","HnzytWxmAO","As8RqfVLgs"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","9FxExcQeMw","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","B5M0gjZbta","jCPkEVoL5K","rysDP5nf3Z","t8gj7n24qd","uFcxV4UQCh","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","tmPS8pqC7x","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1768","layer":4},{"info":"compute unary expreesion, input=1768, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=-447","layer":3},{"info":"compute unary expreesion, input=-447, op_id = 8n5YIzOsVS, unary_op_definition = 'a⫠↝⫳ = { (((a⨸⪁a)⩷∴(⩦⩻⨪a))⫡⨏a) }', output=-13681","layer":2},{"info":"number node, value=2422","layer":4},{"info":"compute unary expreesion, input=2422, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=70","layer":3},{"info":"number node, value=2359","layer":4},{"info":"number node, value=1023","layer":4},{"info":"compute binary expreesion, left_input=2359, right_input=1023, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=4718","layer":3},{"info":"compute binary expreesion, left_input=70, right_input=4718, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=-13681, right_input=160, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-55","layer":1},{"info":"number node, value=3250","layer":4},{"info":"compute unary expreesion, input=3250, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"number node, value=6764","layer":4},{"info":"number node, value=4923","layer":4},{"info":"compute binary expreesion, left_input=6764, right_input=4923, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=87930","layer":3},{"info":"compute binary expreesion, left_input=177, right_input=87930, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-48","layer":2},{"info":"number node, value=1701","layer":4},{"info":"number node, value=1378","layer":4},{"info":"compute binary expreesion, left_input=1701, right_input=1378, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=2128","layer":3},{"info":"number node, value=4426","layer":4},{"info":"number node, value=1456","layer":4},{"info":"compute binary expreesion, left_input=4426, right_input=1456, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-1481","layer":3},{"info":"compute binary expreesion, left_input=2128, right_input=-1481, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-48, right_input=nan, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-55, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((⊊≼∋≴∭⊉5104)⫠↝⫳)⨑⩅≇((↘≴∭⊉10030)⨵⪆≴∭⊉6610⩦≴∭⊉2661)⋥≓≎((≴∭⊉12322∸)≠≀≴∭⊉25502⊝⪿⪼≴∭⊉20232)↞⋁(≴∭⊉4650⋹⋡⊁≴∭⊉4006⇴∐(≴∭⊉15622⋥≓≎≴∭⊉4150))=NaN","reverse_text":"NaN=((⊊≼∋≴∭⊉5104)⫠↝⫳)⨑⩅≇((↘≴∭⊉10030)⨵⪆≴∭⊉6610⩦≴∭⊉2661)⋥≓≎((≴∭⊉12322∸)≠≀≴∭⊉25502⊝⪿⪼≴∭⊉20232)↞⋁(≴∭⊉4650⋹⋡⊁≴∭⊉4006⇴∐(≴∭⊉15622⋥≓≎≴∭⊉4150))","cot":[{"info":"⊊≼∋≴∭⊉5104=≴∭⊉-1206","layer":3},{"info":"≴∭⊉-1206⫠↝⫳=≴∭⊉-54613","layer":2},{"info":"↘≴∭⊉10030=≴∭⊉130","layer":3},{"info":"≴∭⊉6610⩦≴∭⊉2661=≴∭⊉16520","layer":3},{"info":"≴∭⊉130⨵⪆≴∭⊉16520=≴∭⊉316","layer":2},{"info":"≴∭⊉-54613⨑⩅≇≴∭⊉316=≴∭⊉-106","layer":1},{"info":"≴∭⊉12322∸=≴∭⊉342","layer":3},{"info":"≴∭⊉25502⊝⪿⪼≴∭⊉20232=≴∭⊉514233","layer":3},{"info":"≴∭⊉342≠≀≴∭⊉514233=≴∭⊉-66","layer":2},{"info":"≴∭⊉4650⋹⋡⊁≴∭⊉4006=≴∭⊉6130","layer":3},{"info":"≴∭⊉15622⋥≓≎≴∭⊉4150=≴∭⊉-4214","layer":3},{"info":"≴∭⊉6130⇴∐≴∭⊉-4214=NaN","layer":2},{"info":"≴∭⊉-66↞⋁NaN=NaN","layer":1},{"info":"≴∭⊉-106⋥≓≎NaN=NaN","layer":0}]}
+{"id":779,"expression_no_base_symbol":"⊬↢((($5258$⋝⋈⪟$4520$)⇉⇱⇎)⨟⋌⩍(($3829$⩺⪪$8162$)∵≐))","expression":"⊬↢(((≴∭⊉21221⋝⋈⪟≴∭⊉16115)⇉⇱⇎)⨟⋌⩍((≴∭⊉14110⩺⪪≴∭⊉32540)∵≐))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":232,"operation_count":6,"complexity_ratio":38.666666666666664,"tree":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⇉⇱⇎","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":5258,"base":7},"right_expr":{"type":"numeric_atoms","value":4520,"base":7}}},"right_expr":{"type":"unary","operator":"∵≐","unary_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":3829,"base":7},"right_expr":{"type":"numeric_atoms","value":8162,"base":7}}}}},"used_operators":["WPoGxAaPR1","rGHVDoGpnC","MRPaB8lBjK","2DDjHMKMc0","59igzFyhWz","uvdQJvN4PV"],"dependent_operators":["XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","Tcnh7f0tEr","XhwjNDsVaA","QiR2Oyf5Xj","uFcxV4UQCh","EWw2JM7wp4","t8gj7n24qd","keWfFq85dY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","DZ8iAZOCBD","8w2t5hMYqp","Ph9nP6C5qx","12rbrZMWeM","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5258","layer":4},{"info":"number node, value=4520","layer":4},{"info":"compute binary expreesion, left_input=5258, right_input=4520, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=5258","layer":3},{"info":"compute unary expreesion, input=5258, op_id = MRPaB8lBjK, unary_op_definition = 'a⇉⇱⇎ = { (((a/a)⪉⨛(≯757))⪛(∷≠(-a))) }', output=-5040","layer":2},{"info":"number node, value=3829","layer":4},{"info":"number node, value=8162","layer":4},{"info":"compute binary expreesion, left_input=3829, right_input=8162, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":3},{"info":"compute unary expreesion, input=-1818, op_id = 59igzFyhWz, unary_op_definition = 'a∵≐ = { ((a⊉≛↸31)⋳⪒(101+a)) , if a<=828 ; ((⊄⩳↩a)≧⫂∧(a≧⫂∧a)) , else }', output=1368","layer":2},{"info":"compute binary expreesion, left_input=-5040, right_input=1368, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)��(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"⊬↢(((≴∭⊉21221⋝⋈⪟≴∭⊉16115)⇉⇱⇎)⨟⋌⩍((≴∭⊉14110⩺⪪≴∭⊉32540)∵≐))=NaN","reverse_text":"NaN=⊬↢(((≴∭⊉21221⋝⋈⪟≴∭⊉16115)⇉⇱⇎)⨟⋌⩍((≴∭⊉14110⩺⪪≴∭⊉32540)∵≐))","cot":[{"info":"≴∭⊉21221⋝⋈⪟≴∭⊉16115=≴∭⊉21221","layer":3},{"info":"≴∭⊉21221⇉⇱⇎=≴∭⊉-20460","layer":2},{"info":"≴∭⊉14110⩺⪪≴∭⊉32540=≴∭⊉-5205","layer":3},{"info":"≴∭⊉-5205∵≐=≴∭⊉3663","layer":2},{"info":"≴∭⊉-20460⨟⋌⩍≴∭⊉3663=NaN","layer":1},{"info":"⊬↢NaN=NaN","layer":0}]}
+{"id":780,"expression_no_base_symbol":"($1190$⪟⇏$6703$⩚⊴⇥$2846$⇴$2113$⊹∫⫚((≦∁$4433$)⨁⊸⫻))⊬⫿⊭","expression":"(≴∭⊉3320⪟⇏≴∭⊉25354⩚⊴⇥≴∭⊉11204⇴≴∭⊉6106⊹∫⫚((≦∁≴∭⊉15632)⨁⊸⫻))⊬⫿⊭","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":116,"operation_count":7,"complexity_ratio":16.571428571428573,"tree":{"type":"unary","operator":"⊬⫿⊭","unary_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":1190,"base":7},"right_expr":{"type":"numeric_atoms","value":6703,"base":7}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":2846,"base":7},"right_expr":{"type":"numeric_atoms","value":2113,"base":7}}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":4433,"base":7}}}}},"used_operators":["v0DYgG9ikt","uWAJUKEvyW","NTOWxs364D","GODebY97qR","4JB6nKBMSY","glklzrTFfD","9ICcGScMcE"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","7j4O788W3g","8w2t5hMYqp","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","sdazOOVcIp","NTOWxs364D","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"≴∭⊉606","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1190","layer":4},{"info":"number node, value=6703","layer":4},{"info":"compute binary expreesion, left_input=1190, right_input=6703, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"number node, value=2846","layer":4},{"info":"number node, value=2113","layer":4},{"info":"compute binary expreesion, left_input=2846, right_input=2113, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=20916","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=20916, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-21036","layer":2},{"info":"number node, value=4433","layer":4},{"info":"compute unary expreesion, input=4433, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=4433","layer":3},{"info":"compute unary expreesion, input=4433, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=4433","layer":2},{"info":"compute binary expreesion, left_input=-21036, right_input=4433, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-88","layer":1},{"info":"compute unary expreesion, input=-88, op_id = v0DYgG9ikt, unary_op_definition = 'a⊬⫿⊭ = { ((⨑⩽⪐(≤/a))↺((⨞⊢a)⨰(↽≂188))) , if a<119 ; (((∥⊫a)⨳⩥⨓(a⨵⪆a))↺(⊄⩳↩(a⋝⋈⪟a))) , else }', output=300","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉3320⪟⇏≴∭⊉25354⩚⊴⇥≴∭⊉11204⇴≴∭⊉6106⊹∫⫚((≦∁≴∭⊉15632)⨁⊸⫻))⊬⫿⊭=≴∭⊉606","reverse_text":"≴∭⊉606=(≴∭⊉3320⪟⇏≴∭⊉25354⩚⊴⇥≴∭⊉11204⇴≴∭⊉6106⊹∫⫚((≦∁≴∭⊉15632)⨁⊸⫻))⊬⫿⊭","cot":[{"info":"≴∭⊉3320⪟⇏≴∭⊉25354=≴∭⊉-1","layer":3},{"info":"≴∭⊉11204⇴≴∭⊉6106=≴∭⊉114660","layer":3},{"info":"≴∭⊉-1⩚⊴⇥≴∭⊉114660=≴∭⊉-115221","layer":2},{"info":"≦∁≴∭⊉15632=≴∭⊉15632","layer":3},{"info":"≴∭⊉15632⨁⊸⫻=≴∭⊉15632","layer":2},{"info":"≴∭⊉-115221⊹∫⫚≴∭⊉15632=≴∭⊉-154","layer":1},{"info":"≴∭⊉-154⊬⫿⊭=≴∭⊉606","layer":0}]}
+{"id":781,"expression_no_base_symbol":"(($1641$∙⊟$7944$)⪃⊛⇣($2181$⨳⩥⨓$2693$)⫃⨇($4158$⫉⨲⊜$1778$)∴(∂⩏⊆$3364$))⪒⊣⊆(($1261$⫡⨏$1594$)↹⊜(↥≼⋛$2875$))↤⩊(⨵≀≌($1039$⇼⇔∾$7799$))","expression":"((≴∭⊉4533∙⊟≴∭⊉32106)⪃⊛⇣(≴∭⊉6234⨳⩥⨓≴∭⊉10565)⫃⨇(≴∭⊉15060⫉⨲⊜≴∭⊉5120)∴(∂⩏⊆≴∭⊉12544))⪒⊣⊆((≴∭⊉3451⫡⨏≴∭⊉4435)↹⊜(↥≼⋛≴∭⊉11245))↤⩊(⨵≀≌(≴∭⊉3013⇼⇔∾≴∭⊉31511))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2569,"operation_count":14,"complexity_ratio":183.5,"tree":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":1641,"base":7},"right_expr":{"type":"numeric_atoms","value":7944,"base":7}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2181,"base":7},"right_expr":{"type":"numeric_atoms","value":2693,"base":7}}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":4158,"base":7},"right_expr":{"type":"numeric_atoms","value":1778,"base":7}},"right_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"numeric_atoms","value":3364,"base":7}}}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1261,"base":7},"right_expr":{"type":"numeric_atoms","value":1594,"base":7}},"right_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"numeric_atoms","value":2875,"base":7}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1039,"base":7},"right_expr":{"type":"numeric_atoms","value":7799,"base":7}}}}},"used_operators":["eRqsBgTDFp","09Ly4LVMIf","rrgAzCduG9","SxTAKzQCrw","nCS4ZIUYfx","hrf7POJlIJ","WhqkvtTD3t","8WDwsbhb0R","13rbtpv6ld","9bazX3JMtO","QMFrweE19q","x5lMkHmzsq","srAu1WTS94","tifHPKVTfV"],"dependent_operators":["sdazOOVcIp","W4YGzv6Whe","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","W4YGzv6Whe","rysDP5nf3Z","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","eewbuw0ToL","zVYPLywUTj","14qkJME0vr","eLAdDNolq6","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1641","layer":4},{"info":"number node, value=7944","layer":4},{"info":"compute binary expreesion, left_input=1641, right_input=7944, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=31179","layer":3},{"info":"number node, value=2181","layer":4},{"info":"number node, value=2693","layer":4},{"info":"compute binary expreesion, left_input=2181, right_input=2693, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=512","layer":3},{"info":"compute binary expreesion, left_input=31179, right_input=512, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":2},{"info":"number node, value=4158","layer":4},{"info":"number node, value=1778","layer":4},{"info":"compute binary expreesion, left_input=4158, right_input=1778, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"number node, value=3364","layer":4},{"info":"compute unary expreesion, input=3364, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-10171","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-10171, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=1648","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=1648, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-6624","layer":1},{"info":"number node, value=1261","layer":4},{"info":"number node, value=1594","layer":4},{"info":"compute binary expreesion, left_input=1261, right_input=1594, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=10276","layer":3},{"info":"number node, value=2875","layer":4},{"info":"compute unary expreesion, input=2875, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-113","layer":3},{"info":"compute binary expreesion, left_input=10276, right_input=-113, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=20908","layer":2},{"info":"number node, value=1039","layer":4},{"info":"number node, value=7799","layer":4},{"info":"compute binary expreesion, left_input=1039, right_input=7799, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=6760","layer":3},{"info":"compute unary expreesion, input=6760, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-20280","layer":2},{"info":"compute binary expreesion, left_input=20908, right_input=-20280, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-6624, right_input=nan, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉4533∙⊟≴∭⊉32106)⪃⊛⇣(≴∭⊉6234⨳⩥⨓≴∭⊉10565)⫃⨇(≴∭⊉15060⫉⨲⊜≴∭⊉5120)∴(∂⩏⊆≴∭⊉12544))⪒⊣⊆((≴∭⊉3451⫡⨏≴∭⊉4435)↹⊜(↥≼⋛≴∭⊉11245))↤⩊(⨵≀≌(≴∭⊉3013⇼⇔∾≴∭⊉31511))=NaN","reverse_text":"NaN=((≴∭⊉4533∙⊟≴∭⊉32106)⪃⊛⇣(≴∭⊉6234⨳⩥⨓≴∭⊉10565)⫃⨇(≴∭⊉15060⫉⨲⊜≴∭⊉5120)∴(∂⩏⊆≴∭⊉12544))⪒⊣⊆((≴∭⊉3451⫡⨏≴∭⊉4435)↹⊜(↥≼⋛≴∭⊉11245))↤⩊(⨵≀≌(≴∭⊉3013⇼⇔∾≴∭⊉31511))","cot":[{"info":"≴∭⊉4533∙⊟≴∭⊉32106=≴∭⊉156621","layer":3},{"info":"≴∭⊉6234⨳⩥⨓≴∭⊉10565=≴∭⊉1331","layer":3},{"info":"≴∭⊉156621⪃⊛⇣≴∭⊉1331=≴∭⊉3412","layer":2},{"info":"≴∭⊉15060⫉⨲⊜≴∭⊉5120=≴∭⊉0","layer":3},{"info":"∂⩏⊆≴∭⊉12544=≴∭⊉-41440","layer":3},{"info":"≴∭⊉0∴≴∭⊉-41440=≴∭⊉4543","layer":2},{"info":"≴∭⊉3412⫃⨇≴∭⊉4543=≴∭⊉-25212","layer":1},{"info":"≴∭⊉3451⫡⨏≴∭⊉4435=≴∭⊉41650","layer":3},{"info":"↥≼⋛≴∭⊉11245=≴∭⊉-221","layer":3},{"info":"≴∭⊉41650↹⊜≴∭⊉-221=≴∭⊉114646","layer":2},{"info":"≴∭⊉3013⇼⇔∾≴∭⊉31511=≴∭⊉25465","layer":3},{"info":"⨵≀≌≴∭⊉25465=≴∭⊉-113061","layer":2},{"info":"≴∭⊉114646↤⩊≴∭⊉-113061=NaN","layer":1},{"info":"≴∭⊉-25212⪒⊣⊆NaN=NaN","layer":0}]}
+{"id":782,"expression_no_base_symbol":"(($1489$∠↢$3544$⫳≱↱$1748$∥⊢⊲$1501$)⪐)≋⫹","expression":"((≴∭⊉4225∠↢≴∭⊉13222⫳≱↱≴∭⊉5045∥⊢⊲≴∭⊉4243)⪐)≋⫹","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":77,"operation_count":5,"complexity_ratio":15.4,"tree":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":1489,"base":7},"right_expr":{"type":"numeric_atoms","value":3544,"base":7}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":1748,"base":7},"right_expr":{"type":"numeric_atoms","value":1501,"base":7}}}}},"used_operators":["N41Kp7NANJ","eH2TOUuTDT","ZvLB05nZmT","KbjG8mgYpV","v1UQAVDJRr"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","EBcxylXtPf","rGHVDoGpnC"],"result":"≴∭⊉44451","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1489","layer":4},{"info":"number node, value=3544","layer":4},{"info":"compute binary expreesion, left_input=1489, right_input=3544, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-54490","layer":3},{"info":"number node, value=1748","layer":4},{"info":"number node, value=1501","layer":4},{"info":"compute binary expreesion, left_input=1748, right_input=1501, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-54490, right_input=nan, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-2802","layer":2},{"info":"compute unary expreesion, input=-2802, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=-5604","layer":1},{"info":"compute unary expreesion, input=-5604, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=11208","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉4225∠↢≴∭⊉13222⫳≱↱≴∭⊉5045∥⊢⊲≴∭⊉4243)⪐)≋⫹=≴∭⊉44451","reverse_text":"≴∭⊉44451=((≴∭⊉4225∠↢≴∭⊉13222⫳≱↱≴∭⊉5045∥⊢⊲≴∭⊉4243)⪐)≋⫹","cot":[{"info":"≴∭⊉4225∠↢≴∭⊉13222=≴∭⊉-314602","layer":3},{"info":"≴∭⊉5045∥⊢⊲≴∭⊉4243=NaN","layer":3},{"info":"≴∭⊉-314602⫳≱↱NaN=≴∭⊉-11112","layer":2},{"info":"≴∭⊉-11112⪐=≴∭⊉-22224","layer":1},{"info":"≴∭⊉-22224≋⫹=≴∭⊉44451","layer":0}]}
+{"id":783,"expression_no_base_symbol":"(∡$4395$⩖⊿$1970$∓⋝($3363$↸$4553$))⫒⫫((⋗⩬⋾$7657$≹⇙⪍$3886$)⨽($1524$⫔⩽⩺$3539$)⊕∕(≤/$1008$))","expression":"(∡≴∭⊉15546⩖⊿≴∭⊉5513∓⋝(≴∭⊉12543↸≴∭⊉16163))⫒⫫((⋗⩬⋾≴∭⊉31216≹⇙⪍≴∭⊉14221)⨽(≴∭⊉4305⫔⩽⩺≴∭⊉13214)⊕∕(≤/≴∭⊉2640))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3503,"operation_count":11,"complexity_ratio":318.45454545454544,"tree":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":4395,"base":7},"right_expr":{"type":"numeric_atoms","value":1970,"base":7}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":3363,"base":7},"right_expr":{"type":"numeric_atoms","value":4553,"base":7}}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":7657,"base":7},"right_expr":{"type":"numeric_atoms","value":3886,"base":7}}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":1524,"base":7},"right_expr":{"type":"numeric_atoms","value":3539,"base":7}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1008,"base":7}}}}},"used_operators":["6Ko8hGgeMq","pRsWfj4Fpp","PoHhknlbAi","RZ5CV9rWsJ","1eCjFl0mb9","8HhzD0ZcuI","DpFCA1CohY","AHs5Up7iyr","9cloC0Ngie","i9eR4S00cU","eLAdDNolq6"],"dependent_operators":["jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","Tw270M8GLb","fu6greOZ01","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4395","layer":4},{"info":"number node, value=1970","layer":4},{"info":"compute binary expreesion, left_input=4395, right_input=1970, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-1902","layer":3},{"info":"number node, value=3363","layer":4},{"info":"number node, value=4553","layer":4},{"info":"compute binary expreesion, left_input=3363, right_input=4553, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=3363","layer":3},{"info":"compute binary expreesion, left_input=-1902, right_input=3363, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":2},{"info":"compute unary expreesion, input=67, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=-67","layer":1},{"info":"number node, value=7657","layer":4},{"info":"number node, value=3886","layer":4},{"info":"compute binary expreesion, left_input=7657, right_input=3886, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=nan","layer":2},{"info":"number node, value=1524","layer":4},{"info":"number node, value=3539","layer":4},{"info":"compute binary expreesion, left_input=1524, right_input=3539, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"number node, value=1008","layer":4},{"info":"compute unary expreesion, input=1008, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-524","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-524, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-67, right_input=nan, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(∡≴∭⊉15546⩖⊿≴∭⊉5513∓⋝(≴∭⊉12543↸≴∭⊉16163))⫒⫫((⋗⩬⋾≴∭⊉31216≹⇙⪍≴∭⊉14221)⨽(≴∭⊉4305⫔⩽⩺≴∭⊉13214)⊕∕(≤/≴∭⊉2640))=NaN","reverse_text":"NaN=(∡≴∭⊉15546⩖⊿≴∭⊉5513∓⋝(≴∭⊉12543↸≴∭⊉16163))⫒⫫((⋗⩬⋾≴∭⊉31216≹⇙⪍≴∭⊉14221)⨽(≴∭⊉4305⫔⩽⩺≴∭⊉13214)⊕∕(≤/≴∭⊉2640))","cot":[{"info":"≴∭⊉15546⩖⊿≴∭⊉5513=≴∭⊉-5355","layer":3},{"info":"≴∭⊉12543↸≴∭⊉16163=≴∭⊉12543","layer":3},{"info":"≴∭⊉-5355∓⋝≴∭⊉12543=≴∭⊉124","layer":2},{"info":"∡≴∭⊉124=≴∭⊉-124","layer":1},{"info":"≴∭⊉31216≹⇙⪍≴∭⊉14221=NaN","layer":3},{"info":"⋗⩬⋾NaN=NaN","layer":2},{"info":"≴∭⊉4305⫔⩽⩺≴∭⊉13214=NaN","layer":3},{"info":"≤/≴∭⊉2640=≴∭⊉-1346","layer":3},{"info":"NaN⊕∕≴∭⊉-1346=NaN","layer":2},{"info":"NaN⨽NaN=NaN","layer":1},{"info":"≴∭⊉-124⫒⫫NaN=NaN","layer":0}]}
+{"id":784,"expression_no_base_symbol":"(↥≼⋛(⨈⪑$1987$)⨚$1811$≴⪞⇿$4946$)⨜⨶(($1740$∙⊟$2217$∲⫓$1248$⩦$1138$)⋾⨃∁((≱⇩⩕$2561$)⨸⪁$5847$⨫⇇↔$1433$))","expression":"(↥≼⋛(⨈⪑≴∭⊉5536)⨚≴∭⊉5165≴⪞⇿≴∭⊉20264)⨜⨶((≴∭⊉5034∙⊟≴∭⊉6315∲⫓≴∭⊉3432⩦≴∭⊉3214)⋾⨃∁((≱⇩⩕≴∭⊉10316)⨸⪁≴∭⊉23022⨫⇇↔≴∭⊉4115))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4430,"operation_count":12,"complexity_ratio":369.1666666666667,"tree":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"numeric_atoms","value":1987,"base":7}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":1811,"base":7},"right_expr":{"type":"numeric_atoms","value":4946,"base":7}}}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":1740,"base":7},"right_expr":{"type":"numeric_atoms","value":2217,"base":7}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":1248,"base":7},"right_expr":{"type":"numeric_atoms","value":1138,"base":7}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"numeric_atoms","value":2561,"base":7}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":5847,"base":7},"right_expr":{"type":"numeric_atoms","value":1433,"base":7}}}}},"used_operators":["HiPekx5b7W","x5lMkHmzsq","nREPSIbpBE","mp94q5OcYM","lvlrscuwVU","212REbPD9h","i8ToyICDmI","SxTAKzQCrw","0kmYd0q39Y","g55IO6H4Gj","3DZMoQKiUl","LXhwmt4mBO"],"dependent_operators":["N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","BjRHVeLaeN","12rbrZMWeM","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","W4YGzv6Whe","t8gj7n24qd","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","W4YGzv6Whe","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK"],"result":"≴∭⊉-224466246","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1987","layer":4},{"info":"compute unary expreesion, input=1987, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":3},{"info":"number node, value=1811","layer":4},{"info":"number node, value=4946","layer":4},{"info":"compute binary expreesion, left_input=1811, right_input=4946, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=4731122","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=4731122, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-18921818","layer":2},{"info":"compute unary expreesion, input=-18921818, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-18921785","layer":1},{"info":"number node, value=1740","layer":4},{"info":"number node, value=2217","layer":4},{"info":"compute binary expreesion, left_input=1740, right_input=2217, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=32466","layer":3},{"info":"number node, value=1248","layer":4},{"info":"number node, value=1138","layer":4},{"info":"compute binary expreesion, left_input=1248, right_input=1138, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=2496","layer":3},{"info":"compute binary expreesion, left_input=32466, right_input=2496, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"number node, value=2561","layer":4},{"info":"compute unary expreesion, input=2561, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":3},{"info":"number node, value=5847","layer":4},{"info":"number node, value=1433","layer":4},{"info":"compute binary expreesion, left_input=5847, right_input=1433, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=-527, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-828","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-828, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=6865682","layer":1},{"info":"compute binary expreesion, left_input=-18921785, right_input=6865682, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-13731108","layer":0}],"base":7,"result_base":7,"text":"(↥≼⋛(⨈⪑≴∭⊉5536)⨚≴∭⊉5165≴⪞⇿≴∭⊉20264)⨜⨶((≴∭⊉5034∙⊟≴∭⊉6315∲⫓≴∭⊉3432⩦≴∭⊉3214)⋾⨃∁((≱⇩⩕≴∭⊉10316)⨸⪁≴∭⊉23022⨫⇇↔≴∭⊉4115))=≴∭⊉-224466246","reverse_text":"≴∭⊉-224466246=(↥≼⋛(⨈⪑≴∭⊉5536)⨚≴∭⊉5165≴⪞⇿≴∭⊉20264)⨜⨶((≴∭⊉5034∙⊟≴∭⊉6315∲⫓≴∭⊉3432⩦≴∭⊉3214)⋾⨃∁((≱⇩⩕≴∭⊉10316)⨸⪁≴∭⊉23022⨫⇇↔≴∭⊉4115))","cot":[{"info":"⨈⪑≴∭⊉5536=≴∭⊉2350","layer":3},{"info":"≴∭⊉5165≴⪞⇿≴∭⊉20264=≴∭⊉55133234","layer":3},{"info":"≴∭⊉2350⨚≴∭⊉55133234=≴∭⊉-316555436","layer":2},{"info":"↥≼⋛≴∭⊉-316555436=≴∭⊉-316555361","layer":1},{"info":"≴∭⊉5034∙⊟≴∭⊉6315=≴∭⊉163440","layer":3},{"info":"≴∭⊉3432⩦≴∭⊉3214=≴∭⊉10164","layer":3},{"info":"≴∭⊉163440∲⫓≴∭⊉10164=≴∭⊉0","layer":2},{"info":"≱⇩⩕≴∭⊉10316=≴∭⊉221","layer":3},{"info":"≴∭⊉23022⨫⇇↔≴∭⊉4115=≴∭⊉-1352","layer":3},{"info":"≴∭⊉221⨸⪁≴∭⊉-1352=≴∭⊉-2262","layer":2},{"info":"≴∭⊉0⋾⨃∁≴∭⊉-2262=≴∭⊉112233365","layer":1},{"info":"≴∭⊉-316555361⨜⨶≴∭⊉112233365=≴∭⊉-224466246","layer":0}]}
+{"id":785,"expression_no_base_symbol":"(($1810$⫞⩸⩒$2516$⨝⩣∺)⨔≚≋(⋃$3006$⫯⪬∳$5044$))⋣⋖(↯⪼(($2765$↳∿⪆$1928$)⊴⇁⪶))","expression":"((≴∭⊉5164⫞⩸⩒≴∭⊉10223⨝⩣∺)⨔≚≋(⋃≴∭⊉11523⫯⪬∳≴∭⊉20464))⋣⋖(↯⪼((≴∭⊉11030↳∿⪆≴∭⊉5423)⊴⇁⪶))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":6051,"operation_count":9,"complexity_ratio":672.3333333333334,"tree":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"unary","operator":"⨝⩣∺","unary_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":1810,"base":7},"right_expr":{"type":"numeric_atoms","value":2516,"base":7}}},"right_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":3006,"base":7},"right_expr":{"type":"numeric_atoms","value":5044,"base":7}}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"unary","operator":"⊴⇁⪶","unary_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":2765,"base":7},"right_expr":{"type":"numeric_atoms","value":1928,"base":7}}}}},"used_operators":["J0M6qkBnIM","Z57zeUYC9z","ancx8kZcWl","XGcMNugi78","3mBM5G4a3l","d7ASUq0ydm","8jW3W4yZS5","oo9mF6JIpo","Cw4SuJJGHO"],"dependent_operators":["VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","DZ8iAZOCBD","t8gj7n24qd","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","g55IO6H4Gj","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","L05ObWFQCd","oacrs7FA3X","2Wsdkap16l","zR4jO40bMj","HrjLwUk87U","YSKBFp38Pu","cHh1gJQ2o6","tmPS8pqC7x","YbVcJGFEVW","12rbrZMWeM","DmTXOeWf9t","RhiyfpczSx","uOZ1tnYMDE","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q"],"result":"≴∭⊉-1352","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1810","layer":4},{"info":"number node, value=2516","layer":4},{"info":"compute binary expreesion, left_input=1810, right_input=2516, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=2516","layer":3},{"info":"compute unary expreesion, input=2516, op_id = ancx8kZcWl, unary_op_definition = 'a⨝⩣∺ = { (-(a⊉≛↸a)) }', output=-5032","layer":2},{"info":"number node, value=3006","layer":4},{"info":"number node, value=5044","layer":4},{"info":"compute binary expreesion, left_input=3006, right_input=5044, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=10019","layer":3},{"info":"compute unary expreesion, input=10019, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=20140","layer":2},{"info":"compute binary expreesion, left_input=-5032, right_input=20140, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=-83368","layer":1},{"info":"number node, value=2765","layer":4},{"info":"number node, value=1928","layer":4},{"info":"compute binary expreesion, left_input=2765, right_input=1928, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = oo9mF6JIpo, unary_op_definition = 'a⊴⇁⪶ = { (⊗((157⇤a)⋳⪒(a⨪↰⇹a))) , if ((a⪶≀⋏180)>=510 or (a⩘665)!=249) ; (((a⪍↜⋙a)≃(a⪚343))⪘⫢((a⩹a)⊲⩕⊾(⩏⊷≩a))) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":1},{"info":"compute binary expreesion, left_input=-83368, right_input=-21, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=-527","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉5164⫞⩸⩒≴∭⊉10223⨝⩣∺)⨔≚≋(⋃≴∭⊉11523⫯⪬∳≴∭⊉20464))⋣⋖(↯⪼((≴∭⊉11030↳∿⪆≴∭⊉5423)⊴⇁⪶))=≴∭⊉-1352","reverse_text":"≴∭⊉-1352=((≴∭⊉5164⫞⩸⩒≴∭⊉10223⨝⩣∺)⨔≚≋(⋃≴∭⊉11523⫯⪬∳≴∭⊉20464))⋣⋖(↯⪼((≴∭⊉11030↳∿⪆≴∭⊉5423)⊴⇁⪶))","cot":[{"info":"≴∭⊉5164⫞⩸⩒≴∭⊉10223=≴∭⊉10223","layer":3},{"info":"≴∭⊉10223⨝⩣∺=≴∭⊉-20446","layer":2},{"info":"≴∭⊉11523⫯⪬∳≴∭⊉20464=≴∭⊉41132","layer":3},{"info":"⋃≴∭⊉41132=≴∭⊉112501","layer":2},{"info":"≴∭⊉-20446⨔≚≋≴∭⊉112501=≴∭⊉-465025","layer":1},{"info":"≴∭⊉11030↳∿⪆≴∭⊉5423=NaN","layer":3},{"info":"NaN⊴⇁⪶=NaN","layer":2},{"info":"↯⪼NaN=≴∭⊉-30","layer":1},{"info":"≴∭⊉-465025⋣⋖≴∭⊉-30=≴∭⊉-1352","layer":0}]}
+{"id":786,"expression_no_base_symbol":"(((⋼∭⪍$5224$)⊬⨰($7483$↯⫤))⇉⇱⇎)⪔(((⇖⫷⫕$2195$)≓∲$1871$⨭⪣$5538$)≥⨤⩑(⋗⩬⋾$3856$)⨑⩅≇$5862$↞⋁$5349$)","expression":"(((⋼∭⪍≴∭⊉21142)⊬⨰(≴∭⊉30550↯⫤))⇉⇱⇎)⪔(((⇖⫷⫕≴∭⊉6254)≓∲≴∭⊉5312⨭⪣≴∭⊉22101)≥⨤⩑(⋗⩬⋾≴∭⊉14146)⨑⩅≇≴∭⊉23043↞⋁≴∭⊉21411)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2525,"operation_count":12,"complexity_ratio":210.41666666666666,"tree":{"type":"binary","operator":"⪔","left_expr":{"type":"unary","operator":"⇉⇱⇎","unary_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"numeric_atoms","value":5224,"base":7}},"right_expr":{"type":"unary","operator":"↯⫤","unary_expr":{"type":"numeric_atoms","value":7483,"base":7}}}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"numeric_atoms","value":2195,"base":7}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":1871,"base":7},"right_expr":{"type":"numeric_atoms","value":5538,"base":7}}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":3856,"base":7}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":5862,"base":7},"right_expr":{"type":"numeric_atoms","value":5349,"base":7}}}}},"used_operators":["GjBEYRfMaF","MRPaB8lBjK","s3Fd5m9Dh2","DbCuESL50I","VwlE7vj6HS","gJLn6v0xnP","s1XTVnmDOJ","UHmRx3INFg","kn8WO9XteQ","h92wMvzauj","DpFCA1CohY","RqrPlJkxDo"],"dependent_operators":["YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","XhwjNDsVaA","QiR2Oyf5Xj","uFcxV4UQCh","EWw2JM7wp4","t8gj7n24qd","keWfFq85dY","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","W4YGzv6Whe","23Mk6UjR3U","tifHPKVTfV","glklzrTFfD","eH2TOUuTDT","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","g55IO6H4Gj","nCS4ZIUYfx","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Uaa54Peajs","CArV6hThFE","13rbtpv6ld"],"result":"≴∭⊉1212","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5224","layer":4},{"info":"compute unary expreesion, input=5224, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-19156","layer":3},{"info":"number node, value=7483","layer":4},{"info":"compute unary expreesion, input=7483, op_id = VwlE7vj6HS, unary_op_definition = 'a↯⫤ = { (((-a)⋝⋈⪟(a⨳⩥⨓a))⨸⪁((a⨁⊸⫻)⇼⇔∾(a+a))) , if (a⋷221)!=277 ; (((300⪐)⨁⊸⫻)⇼⇔∾(a≧⫂∧(26≧⫂∧87))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-19156, right_input=0, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=-38312","layer":2},{"info":"compute unary expreesion, input=-38312, op_id = MRPaB8lBjK, unary_op_definition = 'a⇉⇱⇎ = { (((a/a)⪉⨛(≯757))⪛(∷≠(-a))) }', output=218","layer":1},{"info":"number node, value=2195","layer":4},{"info":"compute unary expreesion, input=2195, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":3},{"info":"number node, value=1871","layer":4},{"info":"number node, value=5538","layer":4},{"info":"compute binary expreesion, left_input=1871, right_input=5538, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=592","layer":3},{"info":"compute binary expreesion, left_input=2822, right_input=592, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=29003","layer":2},{"info":"number node, value=3856","layer":4},{"info":"compute unary expreesion, input=3856, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-11568","layer":3},{"info":"number node, value=5862","layer":4},{"info":"number node, value=5349","layer":4},{"info":"compute binary expreesion, left_input=5862, right_input=5349, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-11568, right_input=nan, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=935","layer":2},{"info":"compute binary expreesion, left_input=29003, right_input=935, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":1},{"info":"compute binary expreesion, left_input=218, right_input=1234, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":0}],"base":7,"result_base":7,"text":"(((⋼∭⪍≴∭⊉21142)⊬⨰(≴∭⊉30550↯⫤))⇉⇱⇎)⪔(((⇖⫷⫕≴∭⊉6254)≓∲≴∭⊉5312⨭⪣≴∭⊉22101)≥⨤⩑(⋗⩬⋾≴∭⊉14146)⨑⩅≇≴∭⊉23043↞⋁≴∭⊉21411)=≴∭⊉1212","reverse_text":"≴∭⊉1212=(((⋼∭⪍≴∭⊉21142)⊬⨰(≴∭⊉30550↯⫤))⇉⇱⇎)⪔(((⇖⫷⫕≴∭⊉6254)≓∲≴∭⊉5312⨭⪣≴∭⊉22101)≥⨤���(⋗⩬⋾≴∭⊉14146)⨑⩅≇≴∭⊉23043↞⋁≴∭⊉21411)","cot":[{"info":"⋼∭⪍≴∭⊉21142=≴∭⊉-106564","layer":3},{"info":"≴∭⊉30550↯⫤=≴∭⊉0","layer":3},{"info":"≴∭⊉-106564⊬⨰≴∭⊉0=≴∭⊉-216461","layer":2},{"info":"≴∭⊉-216461⇉⇱⇎=≴∭⊉431","layer":1},{"info":"⇖⫷⫕≴∭⊉6254=≴∭⊉11141","layer":3},{"info":"≴∭⊉5312⨭⪣≴∭⊉22101=≴∭⊉1504","layer":3},{"info":"≴∭⊉11141≓∲≴∭⊉1504=≴∭⊉150362","layer":2},{"info":"⋗⩬⋾≴∭⊉14146=≴∭⊉-45504","layer":3},{"info":"≴∭⊉23043↞⋁≴∭⊉21411=NaN","layer":3},{"info":"≴∭⊉-45504⨑⩅≇NaN=≴∭⊉2504","layer":2},{"info":"≴∭⊉150362≥⨤⩑≴∭⊉2504=≴∭⊉3412","layer":1},{"info":"≴∭⊉431⪔≴∭⊉3412=≴∭⊉1212","layer":0}]}
+{"id":787,"expression_no_base_symbol":"(($1912$⫸⊐$2578$)≥⨤⩑$7194$⫯⪬∳$1857$)⨐($1041$⩼⇪↪$3101$⪔$1293$⨸$3511$)⪍↜⋙(⊿$1898$⇂≾⫗$3080$∌(⩷$1897$))","expression":"((≴∭⊉5401⫸⊐≴∭⊉10342)≥⨤⩑≴∭⊉26655⫯⪬∳≴∭⊉5262)⨐(≴∭⊉3015⩼⇪↪≴∭⊉12020⪔≴∭⊉3525⨸≴∭⊉13144)⪍↜⋙(⊿≴∭⊉5351⇂≾⫗≴∭⊉11660∌(⩷≴∭⊉5350))","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":4257,"operation_count":12,"complexity_ratio":354.75,"tree":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1912,"base":7},"right_expr":{"type":"numeric_atoms","value":2578,"base":7}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":7194,"base":7},"right_expr":{"type":"numeric_atoms","value":1857,"base":7}}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":1041,"base":7},"right_expr":{"type":"numeric_atoms","value":3101,"base":7}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":1293,"base":7},"right_expr":{"type":"numeric_atoms","value":3511,"base":7}}}},"right_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":1898,"base":7},"right_expr":{"type":"numeric_atoms","value":3080,"base":7}},"right_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"numeric_atoms","value":1897,"base":7}}}}},"used_operators":["L05ObWFQCd","Noe24qw2ks","gJLn6v0xnP","mqXw5SEYmG","d7ASUq0ydm","GjBEYRfMaF","ocnLzx9CaJ","KmoU8R5UQR","DO4fhlbJSI","8cLx32lpNA","aBQ6xLxuTc","1h0rLqGiFr"],"dependent_operators":["rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","14qkJME0vr","g55IO6H4Gj","7j4O788W3g"],"result":"≴∭⊉12563","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1912","layer":4},{"info":"number node, value=2578","layer":4},{"info":"compute binary expreesion, left_input=1912, right_input=2578, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=10187","layer":3},{"info":"number node, value=7194","layer":4},{"info":"number node, value=1857","layer":4},{"info":"compute binary expreesion, left_input=7194, right_input=1857, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=34146","layer":3},{"info":"compute binary expreesion, left_input=10187, right_input=34146, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":2},{"info":"number node, value=1041","layer":4},{"info":"number node, value=3101","layer":4},{"info":"compute binary expreesion, left_input=1041, right_input=3101, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-20408","layer":3},{"info":"number node, value=1293","layer":4},{"info":"number node, value=3511","layer":4},{"info":"compute binary expreesion, left_input=1293, right_input=3511, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=2586","layer":3},{"info":"compute binary expreesion, left_input=-20408, right_input=2586, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=450, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-2468","layer":1},{"info":"number node, value=1898","layer":4},{"info":"number node, value=3080","layer":4},{"info":"compute binary expreesion, left_input=1898, right_input=3080, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"number node, value=1897","layer":4},{"info":"compute unary expreesion, input=1897, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-22843","layer":3},{"info":"compute binary expreesion, left_input=-676, right_input=-22843, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-676","layer":2},{"info":"compute unary expreesion, input=-676, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=4090","layer":1},{"info":"compute binary expreesion, left_input=-2468, right_input=4090, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=3377","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉5401⫸⊐≴∭⊉10342)≥⨤⩑≴∭⊉26655⫯⪬∳≴∭⊉5262)⨐(≴∭⊉3015⩼⇪↪≴∭⊉12020⪔≴∭⊉3525⨸≴∭⊉13144)⪍↜⋙(⊿≴∭⊉5351⇂≾⫗≴∭⊉11660∌(⩷≴∭⊉5350))=≴∭⊉12563","reverse_text":"≴∭⊉12563=((≴∭⊉5401⫸⊐≴∭⊉10342)≥⨤⩑≴∭⊉26655⫯⪬∳≴∭⊉5262)⨐(≴∭⊉3015⩼⇪↪≴∭⊉12020⪔≴∭⊉3525⨸≴∭⊉13144)⪍↜⋙(⊿≴∭⊉5351⇂≾⫗≴∭⊉11660∌(⩷≴∭⊉5350))","cot":[{"info":"≴∭⊉5401⫸⊐≴∭⊉10342=≴∭⊉41462","layer":3},{"info":"≴∭⊉26655⫯⪬∳≴∭⊉5262=≴∭⊉201360","layer":3},{"info":"≴∭⊉41462≥⨤⩑≴∭⊉201360=≴∭⊉3412","layer":2},{"info":"≴∭⊉3015⩼⇪↪≴∭⊉12020=≴∭⊉-113333","layer":3},{"info":"≴∭⊉3525⨸≴∭⊉13144=≴∭⊉10353","layer":3},{"info":"≴∭⊉-113333⪔≴∭⊉10353=≴∭⊉1212","layer":2},{"info":"≴∭⊉3412⨐≴∭⊉1212=≴∭⊉-10124","layer":1},{"info":"≴∭⊉5351⇂≾⫗≴∭⊉11660=≴∭⊉-1654","layer":3},{"info":"⩷≴∭⊉5350=≴∭⊉-123412","layer":3},{"info":"≴∭⊉-1654∌≴∭⊉-123412=≴∭⊉-1654","layer":2},{"info":"⊿≴∭⊉-1654=≴∭⊉14632","layer":1},{"info":"≴∭⊉-10124⪍↜⋙≴∭⊉14632=≴∭⊉12563","layer":0}]}
+{"id":788,"expression_no_base_symbol":"⇖⫷⫕((∑⇻≧$3541$)⩼⇪↪(⨞⊢$3662$)⫲≸⪮($2277$⩷∴$4297$)⨫⇇↔($1299$∕⩚$5299$))","expression":"⇖⫷⫕((∑⇻≧≴∭⊉13216)⩼⇪↪(⨞⊢≴∭⊉13451)⫲≸⪮(≴∭⊉6432⩷∴≴∭⊉15346)⨫⇇↔(≴∭⊉3534∕⩚≴∭⊉21310))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":26896,"operation_count":8,"complexity_ratio":3362.0,"tree":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"numeric_atoms","value":3541,"base":7}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":3662,"base":7}}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2277,"base":7},"right_expr":{"type":"numeric_atoms","value":4297,"base":7}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":1299,"base":7},"right_expr":{"type":"numeric_atoms","value":5299,"base":7}}}}},"used_operators":["UHmRx3INFg","P3lXMJvFrc","ocnLzx9CaJ","l1M9WJ3V7u","xUOZtlo3hN","LXhwmt4mBO","9FxExcQeMw","z9ffQ9n5Zr"],"dependent_operators":["DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","W4YGzv6Whe","t8gj7n24qd","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","rysDP5nf3Z","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr"],"result":"≴∭⊉11141","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3541","layer":4},{"info":"compute unary expreesion, input=3541, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":3},{"info":"number node, value=3662","layer":4},{"info":"compute unary expreesion, input=3662, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-3836","layer":3},{"info":"compute binary expreesion, left_input=-852, right_input=-3836, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=24365","layer":2},{"info":"number node, value=2277","layer":4},{"info":"number node, value=4297","layer":4},{"info":"compute binary expreesion, left_input=2277, right_input=4297, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-4072","layer":3},{"info":"number node, value=1299","layer":4},{"info":"number node, value=5299","layer":4},{"info":"compute binary expreesion, left_input=1299, right_input=5299, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-1302","layer":3},{"info":"compute binary expreesion, left_input=-4072, right_input=-1302, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":2},{"info":"compute binary expreesion, left_input=24365, right_input=-527, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=24365","layer":1},{"info":"compute unary expreesion, input=24365, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":0}],"base":7,"result_base":7,"text":"⇖⫷⫕((∑⇻≧≴∭⊉13216)⩼⇪↪(⨞⊢≴∭⊉13451)⫲≸⪮(≴∭⊉6432⩷∴≴∭⊉15346)⨫⇇↔(≴∭⊉3534∕⩚≴∭⊉21310))=≴∭⊉11141","reverse_text":"≴∭⊉11141=⇖⫷⫕((∑⇻≧≴∭⊉13216)⩼⇪↪(⨞⊢≴∭⊉13451)⫲≸⪮(≴∭⊉6432⩷∴≴∭⊉15346)⨫⇇↔(≴∭⊉3534∕⩚≴∭⊉21310))","cot":[{"info":"∑⇻≧≴∭⊉13216=≴∭⊉-2325","layer":3},{"info":"⨞⊢≴∭⊉13451=≴∭⊉-14120","layer":3},{"info":"≴∭⊉-2325⩼⇪↪≴∭⊉-14120=≴∭⊉131015","layer":2},{"info":"≴∭⊉6432⩷∴≴∭⊉15346=≴∭⊉-14605","layer":3},{"info":"≴∭⊉3534∕⩚≴∭⊉21310=≴∭⊉-3540","layer":3},{"info":"≴∭⊉-14605⨫⇇↔≴∭⊉-3540=≴∭⊉-1352","layer":2},{"info":"≴∭⊉131015⫲≸⪮≴∭⊉-1352=≴∭⊉131015","layer":1},{"info":"⇖⫷⫕≴∭⊉131015=≴∭⊉11141","layer":0}]}
+{"id":789,"expression_no_base_symbol":"⊈($1849$⋹⋡⊁$1266$∷$2008$+⇶⊼$3388$⋻⩜⩜$7040$⪬$3644$∘($3453$⪉⨛$8538$))","expression":"⊈(≴∭⊉5251⋹⋡⊁≴∭⊉3456∷≴∭⊉5566+⇶⊼≴∭⊉12610⋻⩜⩜≴∭⊉26345⪬≴∭⊉13424∘(≴∭⊉13032⪉⨛≴∭⊉33615))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":97691,"operation_count":8,"complexity_ratio":12211.375,"tree":{"type":"unary","operator":"⊈","unary_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":1849,"base":7},"right_expr":{"type":"numeric_atoms","value":1266,"base":7}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2008,"base":7},"right_expr":{"type":"numeric_atoms","value":3388,"base":7}}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":7040,"base":7},"right_expr":{"type":"numeric_atoms","value":3644,"base":7}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":3453,"base":7},"right_expr":{"type":"numeric_atoms","value":8538,"base":7}}}}},"used_operators":["RHru8klgy8","oDCm7WA9JY","D3AQDKkPcf","As8RqfVLgs","TpPTUOHfaN","Z5m6OM72h2","Ez1Nq5fNfI","EWw2JM7wp4"],"dependent_operators":["12rbrZMWeM","xUOZtlo3hN","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","9FxExcQeMw","NTOWxs364D","7j4O788W3g","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","AHs5Up7iyr","eH2TOUuTDT","rysDP5nf3Z","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1849","layer":4},{"info":"number node, value=1266","layer":4},{"info":"compute binary expreesion, left_input=1849, right_input=1266, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=2016","layer":3},{"info":"number node, value=2008","layer":4},{"info":"number node, value=3388","layer":4},{"info":"compute binary expreesion, left_input=2008, right_input=3388, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2016, right_input=nan, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=nan","layer":2},{"info":"number node, value=7040","layer":4},{"info":"number node, value=3644","layer":4},{"info":"compute binary expreesion, left_input=7040, right_input=3644, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"number node, value=3453","layer":4},{"info":"number node, value=8538","layer":4},{"info":"compute binary expreesion, left_input=3453, right_input=8538, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=2036","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=2036, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=2468","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2468, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"⊈(≴∭⊉5251⋹⋡⊁≴∭⊉3456∷≴∭⊉5566+⇶⊼≴∭⊉12610⋻⩜⩜≴∭⊉26345⪬≴∭⊉13424∘(≴∭⊉13032⪉⨛≴∭⊉33615))=NaN","reverse_text":"NaN=⊈(≴∭⊉5251⋹⋡⊁≴∭⊉3456∷≴∭⊉5566+⇶⊼≴∭⊉12610⋻⩜⩜≴∭⊉26345⪬≴∭⊉13424∘(≴∭⊉13032⪉⨛≴∭⊉33615))","cot":[{"info":"≴∭⊉5251⋹⋡⊁≴∭⊉3456=≴∭⊉5610","layer":3},{"info":"≴∭⊉5566+⇶⊼≴∭⊉12610=NaN","layer":3},{"info":"≴∭⊉5610∷NaN=NaN","layer":2},{"info":"≴∭⊉26345⪬≴∭⊉13424=≴∭⊉3412","layer":3},{"info":"≴∭⊉13032⪉⨛≴∭⊉33615=≴∭⊉5636","layer":3},{"info":"≴∭⊉3412∘≴∭⊉5636=≴∭⊉10124","layer":2},{"info":"NaN⋻⩜⩜≴∭⊉10124=NaN","layer":1},{"info":"⊈NaN=NaN","layer":0}]}
+{"id":790,"expression_no_base_symbol":"($4821$⪔⊥$2550$⊠≄⫣)⫉⨲⊜(⇐($2532$⪠⩆⊳))∛(($1023$⫸⇳$5664$)⪎↠($1199$↱$1134$))⫯⪬∳(∓(⪸$6682$))","expression":"(≴∭⊉20025⪔⊥≴∭⊉10302⊠≄⫣)⫉⨲⊜(⇐(≴∭⊉10245⪠⩆⊳))∛((≴∭⊉2661⫸⇳≴∭⊉22341)⪎↠(≴∭⊉3332↱≴∭⊉3210))⫯⪬∳(∓(⪸≴∭⊉25324))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":247,"operation_count":12,"complexity_ratio":20.583333333333332,"tree":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":4821,"base":7},"right_expr":{"type":"numeric_atoms","value":2550,"base":7}}},"right_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":2532,"base":7}}}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":1023,"base":7},"right_expr":{"type":"numeric_atoms","value":5664,"base":7}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":1199,"base":7},"right_expr":{"type":"numeric_atoms","value":1134,"base":7}}},"right_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"numeric_atoms","value":6682,"base":7}}}}},"used_operators":["w2537kitQq","WhqkvtTD3t","DIvbN7qnHd","HJ9erzHUuu","nmZMaaE0Q9","JLbD19bQDL","d7ASUq0ydm","3tVxb0NHM4","gx7XJ7hdpj","SR5kFfdi6N","OwUj7dcsQK","86A5ENbKR9"],"dependent_operators":["DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","eewbuw0ToL","zVYPLywUTj","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q"],"result":"≴∭⊉124","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4821","layer":4},{"info":"number node, value=2550","layer":4},{"info":"compute binary expreesion, left_input=4821, right_input=2550, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=13985","layer":3},{"info":"compute unary expreesion, input=13985, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":2},{"info":"number node, value=2532","layer":4},{"info":"compute unary expreesion, input=2532, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=-110","layer":1},{"info":"number node, value=1023","layer":4},{"info":"number node, value=5664","layer":4},{"info":"compute binary expreesion, left_input=1023, right_input=5664, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"number node, value=1199","layer":4},{"info":"number node, value=1134","layer":4},{"info":"compute binary expreesion, left_input=1199, right_input=1134, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-2880","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-2880, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=868","layer":2},{"info":"number node, value=6682","layer":4},{"info":"compute unary expreesion, input=6682, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-113385","layer":3},{"info":"compute unary expreesion, input=-113385, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=1695903","layer":2},{"info":"compute binary expreesion, left_input=868, right_input=1695903, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=-1691530","layer":1},{"info":"compute binary expreesion, left_input=-110, right_input=-1691530, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉20025⪔⊥≴∭⊉10302⊠≄⫣)⫉⨲⊜(⇐(≴∭⊉10245⪠⩆⊳))∛((≴∭⊉2661⫸⇳≴∭⊉22341)⪎↠(≴∭⊉3332↱≴∭⊉3210))⫯⪬∳(∓(⪸≴∭⊉25324))=≴∭⊉124","reverse_text":"≴∭⊉124=(≴∭⊉20025⪔⊥≴∭⊉10302⊠≄⫣)⫉⨲⊜(⇐(≴∭⊉10245⪠⩆⊳))∛((≴∭⊉2661⫸⇳≴∭⊉22341)⪎↠(≴∭⊉3332↱≴∭⊉3210))⫯⪬∳(∓(⪸≴∭⊉25324))","cot":[{"info":"≴∭⊉20025⪔⊥≴∭⊉10302=≴∭⊉55526","layer":3},{"info":"≴∭⊉55526⊠≄⫣=≴∭⊉0","layer":2},{"info":"≴∭⊉10245⪠⩆⊳=≴∭⊉0","layer":3},{"info":"⇐≴∭⊉0=≴∭⊉0","layer":2},{"info":"≴∭⊉0⫉⨲⊜≴∭⊉0=≴∭⊉-215","layer":1},{"info":"≴∭⊉2661⫸⇳≴∭⊉22341=≴∭⊉0","layer":3},{"info":"≴∭⊉3332↱≴∭⊉3210=≴∭⊉-11253","layer":3},{"info":"≴∭⊉0⪎↠≴∭⊉-11253=≴∭⊉2350","layer":2},{"info":"⪸≴∭⊉25324=≴∭⊉-651366","layer":3},{"info":"∓≴∭⊉-651366=≴∭⊉20262216","layer":2},{"info":"≴∭⊉2350⫯⪬∳≴∭⊉20262216=≴∭⊉-20243401","layer":1},{"info":"≴∭⊉-215∛≴∭⊉-20243401=≴∭⊉124","layer":0}]}
+{"id":791,"expression_no_base_symbol":"(($1550$⊉↱≁$6302$⇮⋭(⇋↷$2999$))⫘($1151$⩖⊿$3516$≳⇉($1274$⨎$1600$)))∘(⇉-⫰($8473$≠≀$1515$)⪒⊣⊆($7659$⪕$3293$))","expression":"((≴∭⊉4343⊉↱≁≴∭⊉24242⇮⋭(⇋↷≴∭⊉11513))⫘(≴∭⊉3233⩖⊿≴∭⊉13152≳⇉(≴∭⊉3500⨎≴∭⊉4444)))∘(⇉-⫰(≴∭⊉33463≠≀≴∭⊉4263)⪒⊣⊆(≴∭⊉31221⪕≴∭⊉12413))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":28347400,"operation_count":12,"complexity_ratio":2362283.3333333335,"tree":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":1550,"base":7},"right_expr":{"type":"numeric_atoms","value":6302,"base":7}},"right_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"numeric_atoms","value":2999,"base":7}}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":1151,"base":7},"right_expr":{"type":"numeric_atoms","value":3516,"base":7}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1274,"base":7},"right_expr":{"type":"numeric_atoms","value":1600,"base":7}}}},"right_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":8473,"base":7},"right_expr":{"type":"numeric_atoms","value":1515,"base":7}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":7659,"base":7},"right_expr":{"type":"numeric_atoms","value":3293,"base":7}}}}},"used_operators":["Z5m6OM72h2","48vC8HMD2b","vkpjKywKVM","w2P8NbNXyL","SWo3A1KBJH","V0kx6qeWkN","RZ5CV9rWsJ","rJVOvQCfKK","IGFM8TAlm9","eRqsBgTDFp","IwW236VD4Y","umQnsF7QlU"],"dependent_operators":["eH2TOUuTDT","rysDP5nf3Z","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","eH2TOUuTDT","eewbuw0ToL","sdazOOVcIp","W4YGzv6Whe","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF"],"result":"≴∭⊉-504552","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1550","layer":4},{"info":"number node, value=6302","layer":4},{"info":"compute binary expreesion, left_input=1550, right_input=6302, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-23426","layer":3},{"info":"number node, value=2999","layer":4},{"info":"compute unary expreesion, input=2999, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=23992","layer":3},{"info":"compute binary expreesion, left_input=-23426, right_input=23992, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":2},{"info":"number node, value=1151","layer":4},{"info":"number node, value=3516","layer":4},{"info":"compute binary expreesion, left_input=1151, right_input=3516, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=23442","layer":3},{"info":"number node, value=1274","layer":4},{"info":"number node, value=1600","layer":4},{"info":"compute binary expreesion, left_input=1274, right_input=1600, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1600","layer":3},{"info":"compute binary expreesion, left_input=23442, right_input=1600, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=86069","layer":1},{"info":"number node, value=8473","layer":4},{"info":"number node, value=1515","layer":4},{"info":"compute binary expreesion, left_input=8473, right_input=1515, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-16640","layer":3},{"info":"number node, value=7659","layer":4},{"info":"number node, value=3293","layer":4},{"info":"compute binary expreesion, left_input=7659, right_input=3293, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=12926","layer":3},{"info":"compute binary expreesion, left_input=-16640, right_input=12926, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=59234","layer":2},{"info":"compute unary expreesion, input=59234, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":1},{"info":"compute binary expreesion, left_input=86069, right_input=20, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=-85689","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉4343⊉↱≁≴∭⊉24242⇮⋭(⇋↷≴∭⊉11513))⫘(≴∭⊉3233⩖⊿≴∭⊉13152≳⇉(≴∭⊉3500⨎≴∭⊉4444)))∘(⇉-⫰(≴∭⊉33463≠≀≴∭⊉4263)⪒⊣⊆(≴∭⊉31221⪕≴∭⊉12413))=≴∭⊉-504552","reverse_text":"≴∭⊉-504552=((≴∭⊉4343⊉↱≁≴∭⊉24242⇮⋭(⇋↷≴∭⊉11513))⫘(≴∭⊉3233⩖⊿≴∭⊉13152≳⇉(≴∭⊉3500⨎≴∭⊉4444)))∘(⇉-⫰(≴∭⊉33463≠≀≴∭⊉4263)���⊣⊆(≴∭⊉31221⪕≴∭⊉12413))","cot":[{"info":"≴∭⊉4343⊉↱≁≴∭⊉24242=≴∭⊉-125204","layer":3},{"info":"⇋↷≴∭⊉11513=≴∭⊉126643","layer":3},{"info":"≴∭⊉-125204⇮⋭≴∭⊉126643=≴∭⊉124","layer":2},{"info":"≴∭⊉3233⩖⊿≴∭⊉13152=≴∭⊉125226","layer":3},{"info":"≴∭⊉3500⨎≴∭⊉4444=≴∭⊉4444","layer":3},{"info":"≴∭⊉125226≳⇉≴∭⊉4444=NaN","layer":2},{"info":"≴∭⊉124⫘NaN=≴∭⊉505634","layer":1},{"info":"≴∭⊉33463≠≀≴∭⊉4263=≴∭⊉-66341","layer":3},{"info":"≴∭⊉31221⪕≴∭⊉12413=≴∭⊉52454","layer":3},{"info":"≴∭⊉-66341⪒⊣⊆≴∭⊉52454=≴∭⊉334460","layer":2},{"info":"⇉-⫰≴∭⊉334460=≴∭⊉26","layer":1},{"info":"≴∭⊉505634∘≴∭⊉26=≴∭⊉-504552","layer":0}]}
+{"id":792,"expression_no_base_symbol":"⇘(⇤←(∟⋨($8119$⨵⪆$2325$)))","expression":"⇘(⇤←(∟⋨(≴∭⊉32446⨵⪆≴∭⊉6531)))","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":761,"operation_count":4,"complexity_ratio":190.25,"tree":{"type":"unary","operator":"⇘","unary_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":8119,"base":7},"right_expr":{"type":"numeric_atoms","value":2325,"base":7}}}}},"used_operators":["MGuIdZPyUC","jfAgQ2OQeM","ctOc4cKSDt","2DQ55sFlQl"],"dependent_operators":["eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","eLAdDNolq6","tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd"],"result":"≴∭⊉-24432035","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=8119","layer":4},{"info":"number node, value=2325","layer":4},{"info":"compute binary expreesion, left_input=8119, right_input=2325, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=324","layer":2},{"info":"compute unary expreesion, input=324, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=-254","layer":1},{"info":"compute unary expreesion, input=-254, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=-2192825","layer":0}],"base":7,"result_base":7,"text":"⇘(⇤←(∟⋨(≴∭⊉32446⨵⪆≴∭⊉6531)))=≴∭⊉-24432035","reverse_text":"≴∭⊉-24432035=⇘(⇤←(∟⋨(≴∭⊉32446⨵⪆≴∭⊉6531)))","cot":[{"info":"≴∭⊉32446⨵⪆≴∭⊉6531=≴∭⊉316","layer":3},{"info":"∟⋨≴∭⊉316=≴∭⊉642","layer":2},{"info":"⇤←≴∭⊉642=≴∭⊉-512","layer":1},{"info":"⇘≴∭⊉-512=≴∭⊉-24432035","layer":0}]}
+{"id":793,"expression_no_base_symbol":"((⩦⩻⨪$3055$)∼($1284$⪎⩰))≦↸($6137$⊬⨰$1719$→⨶⪴$2262$⪬$4699$)%(≸≮(⩰$4299$))⪒⊣⊆(($2974$≓∲$3403$)↳∿⪆($3409$⪛$1820$))","expression":"((⩦⩻⨪≴∭⊉11623)∼(≴∭⊉3513⪎⩰))≦↸(≴∭⊉23615⊬⨰≴∭⊉5004→⨶⪴≴∭⊉6411⪬≴∭⊉16462)%(≸≮(⩰≴∭⊉15351))⪒⊣⊆((≴∭⊉11446≓∲≴∭⊉12631)↳∿⪆(≴∭⊉12640⪛≴∭⊉5210))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":3307,"operation_count":14,"complexity_ratio":236.21428571428572,"tree":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":3055,"base":7}},"right_expr":{"type":"unary","operator":"⪎⩰","unary_expr":{"type":"numeric_atoms","value":1284,"base":7}}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":6137,"base":7},"right_expr":{"type":"numeric_atoms","value":1719,"base":7}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":2262,"base":7},"right_expr":{"type":"numeric_atoms","value":4699,"base":7}}}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"numeric_atoms","value":4299,"base":7}}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":2974,"base":7},"right_expr":{"type":"numeric_atoms","value":3403,"base":7}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3409,"base":7},"right_expr":{"type":"numeric_atoms","value":1820,"base":7}}}}},"used_operators":["k8jYdgA6NY","RygbFNSyEJ","DyGG3AbaNP","2td37pGCOC","2ufhKmSs5H","bF6eod5Gvf","s3Fd5m9Dh2","Ez1Nq5fNfI","eRqsBgTDFp","AljMvE3RRm","WkeUrDK8WX","Cw4SuJJGHO","s1XTVnmDOJ","uFcxV4UQCh"],"dependent_operators":["rysDP5nf3Z","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","DpFCA1CohY","N41Kp7NANJ","sdazOOVcIp","EBcxylXtPf","f6k1SAg4EE","COABgblf1C","8w2t5hMYqp","9FxExcQeMw","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","sdazOOVcIp","W4YGzv6Whe","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"≴∭⊉1662","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3055","layer":4},{"info":"compute unary expreesion, input=3055, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=3055","layer":3},{"info":"number node, value=1284","layer":4},{"info":"compute unary expreesion, input=1284, op_id = 2ufhKmSs5H, unary_op_definition = 'a⪎⩰ = { (17≋⫹) , if a>=326 and a!=597 ; (((a⪒a)⫌⩹⨱)⊭↱(⋗⩬⋾(756⪨≂a))) , else }', output=-34","layer":3},{"info":"compute binary expreesion, left_input=3055, right_input=-34, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=0","layer":2},{"info":"number node, value=6137","layer":4},{"info":"number node, value=1719","layer":4},{"info":"compute binary expreesion, left_input=6137, right_input=1719, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=11957","layer":3},{"info":"number node, value=2262","layer":4},{"info":"number node, value=4699","layer":4},{"info":"compute binary expreesion, left_input=2262, right_input=4699, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=11957, right_input=1234, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-3702","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-3702, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=681","layer":1},{"info":"number node, value=4299","layer":4},{"info":"compute unary expreesion, input=4299, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-5299","layer":3},{"info":"compute unary expreesion, input=-5299, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=80268","layer":2},{"info":"number node, value=2974","layer":4},{"info":"number node, value=3403","layer":4},{"info":"compute binary expreesion, left_input=2974, right_input=3403, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=30523","layer":3},{"info":"number node, value=3409","layer":4},{"info":"number node, value=1820","layer":4},{"info":"compute binary expreesion, left_input=3409, right_input=1820, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1589","layer":3},{"info":"compute binary expreesion, left_input=30523, right_input=1589, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=80268, right_input=nan, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=160536","layer":1},{"info":"compute binary expreesion, left_input=681, right_input=160536, op_id = k8jYdgA6NY binary_op_definition= 'None', output=681","layer":0}],"base":7,"result_base":7,"text":"((⩦⩻⨪≴∭⊉11623)∼(≴∭⊉3513⪎⩰))≦↸(≴∭⊉23615⊬⨰≴∭⊉5004→⨶⪴≴∭⊉6411⪬≴∭⊉16462)%(≸≮(⩰≴∭⊉15351))⪒⊣⊆((≴∭⊉11446≓∲≴∭⊉12631)↳∿⪆(≴∭⊉12640⪛≴∭⊉5210))=≴∭⊉1662","reverse_text":"≴∭⊉1662=((⩦⩻⨪≴∭⊉11623)∼(≴∭⊉3513⪎⩰))≦↸(≴∭⊉23615⊬⨰≴∭⊉5004→⨶⪴≴∭⊉6411⪬≴∭⊉16462)%(≸≮(⩰≴∭⊉15351))⪒⊣⊆((≴∭⊉11446≓∲≴∭⊉12631)↳∿⪆(≴∭⊉12640⪛≴∭⊉5210))","cot":[{"info":"⩦⩻⨪≴∭⊉11623=≴∭⊉11623","layer":3},{"info":"≴��⊉3513⪎⩰=≴∭⊉-46","layer":3},{"info":"≴∭⊉11623∼≴∭⊉-46=≴∭⊉0","layer":2},{"info":"≴∭⊉23615⊬⨰≴∭⊉5004=≴∭⊉46601","layer":3},{"info":"≴∭⊉6411⪬≴∭⊉16462=≴∭⊉3412","layer":3},{"info":"≴∭⊉46601→⨶⪴≴∭⊉3412=≴∭⊉-13536","layer":2},{"info":"≴∭⊉0≦↸≴∭⊉-13536=≴∭⊉1662","layer":1},{"info":"⩰≴∭⊉15351=≴∭⊉-21310","layer":3},{"info":"≸≮≴∭⊉-21310=≴∭⊉453006","layer":2},{"info":"≴∭⊉11446≓∲≴∭⊉12631=≴∭⊉154663","layer":3},{"info":"≴∭⊉12640⪛≴∭⊉5210=≴∭⊉4430","layer":3},{"info":"≴∭⊉154663↳∿⪆≴∭⊉4430=NaN","layer":2},{"info":"≴∭⊉453006⪒⊣⊆NaN=≴∭⊉1236015","layer":1},{"info":"≴∭⊉1662%≴∭⊉1236015=≴∭⊉1662","layer":0}]}
+{"id":794,"expression_no_base_symbol":"((≸$4159$⋹⋡⊁$1542$)⫑)⩒⫫($2805$⩖⊿$5606$)⨐($8120$≬⋮$3575$)⨟⋌⩍(($1282$≚⊃≕$5901$)⫠)","expression":"((≸≴∭⊉15061⋹⋡⊁≴∭⊉4332)⫑)⩒⫫(≴∭⊉11115⩖⊿≴∭⊉22226)⨐(≴∭⊉32450≬⋮≴∭⊉13265)⨟⋌⩍((≴∭⊉3511≚⊃≕≴∭⊉23130)⫠)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":323729,"operation_count":10,"complexity_ratio":32372.9,"tree":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"unary","operator":"⫑","unary_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":4159,"base":7},"right_expr":{"type":"numeric_atoms","value":1542,"base":7}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":2805,"base":7},"right_expr":{"type":"numeric_atoms","value":5606,"base":7}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":8120,"base":7},"right_expr":{"type":"numeric_atoms","value":3575,"base":7}}},"right_expr":{"type":"unary","operator":"⫠","unary_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":1282,"base":7},"right_expr":{"type":"numeric_atoms","value":5901,"base":7}}}}},"used_operators":["KFSx94NKJn","CgIo77xlM2","eOf03JbCpp","As8RqfVLgs","rGHVDoGpnC","Noe24qw2ks","RZ5CV9rWsJ","kbkesczE7y","6SnOT2rOjz","Bmrmz2XGnR"],"dependent_operators":["NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","cWQsF5MvuD","zR4jO40bMj","SUmda5xLS4","DZ8iAZOCBD","PxpmPgHHJV","ocnLzx9CaJ","Z5m6OM72h2","mqXw5SEYmG","8cLx32lpNA","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","Tcnh7f0tEr","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","Bmrmz2XGnR","tmPS8pqC7x","mp7IySMOzn","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q"],"result":"≴∭⊉13502","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4159","layer":4},{"info":"number node, value=1542","layer":4},{"info":"compute binary expreesion, left_input=4159, right_input=1542, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=2292","layer":3},{"info":"compute unary expreesion, input=2292, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=58","layer":2},{"info":"compute unary expreesion, input=58, op_id = CgIo77xlM2, unary_op_definition = 'a⫑ = { (((a⊉≛↸377)⩼⇪↪(a∘a))⪄(841⪶≀⋏a)) , if (a⫸⊐7)<631 ; ((↓⇌(a∌a))⨌↪) , else }', output=3979","layer":1},{"info":"number node, value=2805","layer":4},{"info":"number node, value=5606","layer":4},{"info":"compute binary expreesion, left_input=2805, right_input=5606, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=33546","layer":3},{"info":"number node, value=8120","layer":4},{"info":"number node, value=3575","layer":4},{"info":"compute binary expreesion, left_input=8120, right_input=3575, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=33546, right_input=868, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-67092","layer":2},{"info":"number node, value=1282","layer":4},{"info":"number node, value=5901","layer":4},{"info":"compute binary expreesion, left_input=1282, right_input=5901, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=-18635","layer":3},{"info":"compute unary expreesion, input=-18635, op_id = 6SnOT2rOjz, unary_op_definition = 'a⫠ = { ((a⇷0)⨪↰⇹(a≚⊃≕a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-67092, right_input=0, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=-67092","layer":1},{"info":"compute binary expreesion, left_input=3979, right_input=-67092, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=3677","layer":0}],"base":7,"result_base":7,"text":"((≸≴∭⊉15061⋹⋡⊁≴∭⊉4332)⫑)⩒⫫(≴∭⊉11115⩖⊿≴∭⊉22226)⨐(≴∭⊉32450≬⋮≴∭⊉13265)⨟⋌⩍((≴∭⊉3511≚⊃≕≴∭⊉23130)⫠)=≴∭⊉13502","reverse_text":"≴∭⊉13502=((≸≴∭⊉15061⋹⋡⊁≴∭⊉4332)⫑)⩒⫫(≴∭⊉11115⩖⊿≴∭⊉22226)⨐(≴∭⊉32450≬⋮≴∭⊉13265)⨟⋌⩍((≴∭⊉3511≚⊃≕≴∭⊉23130)⫠)","cot":[{"info":"≴∭⊉15061⋹⋡⊁≴∭⊉4332=≴∭⊉6453","layer":3},{"info":"≸≴∭⊉6453=≴∭⊉112","layer":2},{"info":"≴∭⊉112⫑=≴∭⊉14413","layer":1},{"info":"≴∭⊉11115⩖⊿≴∭⊉22226=≴∭⊉166542","layer":3},{"info":"≴∭⊉32450≬⋮≴∭⊉13265=≴∭⊉2350","layer":3},{"info":"≴∭⊉166542⨐≴∭⊉2350=≴∭⊉-366414","layer":2},{"info":"≴∭⊉3511≚⊃≕≴∭⊉23130=≴∭⊉-105221","layer":3},{"info":"≴∭⊉-105221⫠=≴∭⊉0","layer":2},{"info":"≴∭⊉-366414⨟⋌⩍≴∭⊉0=≴∭⊉-366414","layer":1},{"info":"≴∭⊉14413⩒⫫≴∭⊉-366414=≴∭⊉13502","layer":0}]}
+{"id":795,"expression_no_base_symbol":"((↽≂$2699$)⋕⪉⪜($7781$⫠)∷($3402$⊴$2944$⫌⩹⨱))⪡(($4697$↙$4239$⩢≌)∽($1388$-$6954$)≄⊠$5698$⪥$2484$)","expression":"((↽≂≴∭⊉10604)⋕⪉⪜(≴∭⊉31454⫠)∷(≴∭⊉12630⊴≴∭⊉11404⫌⩹⨱))⪡((≴∭⊉16460↙≴∭⊉15234⩢≌)∽(≴∭⊉4022-≴∭⊉26163)≄⊠≴∭⊉22420⪥≴∭⊉10146)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":116673,"operation_count":13,"complexity_ratio":8974.846153846154,"tree":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":2699,"base":7}},"right_expr":{"type":"unary","operator":"⫠","unary_expr":{"type":"numeric_atoms","value":7781,"base":7}}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3402,"base":7},"right_expr":{"type":"numeric_atoms","value":2944,"base":7}}}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"unary","operator":"⩢≌","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":4697,"base":7},"right_expr":{"type":"numeric_atoms","value":4239,"base":7}}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1388,"base":7},"right_expr":{"type":"numeric_atoms","value":6954,"base":7}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":5698,"base":7},"right_expr":{"type":"numeric_atoms","value":2484,"base":7}}}}},"used_operators":["oraRL2iQuh","D3AQDKkPcf","z6LnFrNh4i","u6S6b8DprG","6SnOT2rOjz","EBcxylXtPf","Nsiff2A1zJ","y4ImoPnbV5","D617RFjZIq","yyfyN0ffXY","vXNesLlMH1","rysDP5nf3Z","QbnwKVWMIQ"],"dependent_operators":["2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","9FxExcQeMw","NTOWxs364D","7j4O788W3g","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Bmrmz2XGnR","tmPS8pqC7x","mp7IySMOzn","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","NTOWxs364D","QMFrweE19q","hTbEZDJLEm","o20kRiQErp","tmPS8pqC7x","DpFCA1CohY","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2699","layer":4},{"info":"compute unary expreesion, input=2699, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-5398","layer":3},{"info":"number node, value=7781","layer":4},{"info":"compute unary expreesion, input=7781, op_id = 6SnOT2rOjz, unary_op_definition = 'a⫠ = { ((a⇷0)⨪↰⇹(a≚⊃≕a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-5398, right_input=0, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":2},{"info":"number node, value=3402","layer":4},{"info":"number node, value=2944","layer":4},{"info":"compute binary expreesion, left_input=3402, right_input=2944, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=204, right_input=nan, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=nan","layer":1},{"info":"number node, value=4697","layer":4},{"info":"number node, value=4239","layer":4},{"info":"compute binary expreesion, left_input=4697, right_input=4239, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-12717","layer":3},{"info":"compute unary expreesion, input=-12717, op_id = D617RFjZIq, unary_op_definition = 'a⩢≌ = { ((a∸)∟) }', output=113","layer":2},{"info":"number node, value=1388","layer":4},{"info":"number node, value=6954","layer":4},{"info":"compute binary expreesion, left_input=1388, right_input=6954, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-5566","layer":3},{"info":"number node, value=5698","layer":4},{"info":"number node, value=2484","layer":4},{"info":"compute binary expreesion, left_input=5698, right_input=2484, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=27444","layer":3},{"info":"compute binary expreesion, left_input=-5566, right_input=27444, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=443772","layer":2},{"info":"compute binary expreesion, left_input=113, right_input=443772, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-1331703","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1331703, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((↽≂≴∭⊉10604)⋕⪉⪜(≴∭⊉31454⫠)∷(≴∭⊉12630⊴≴∭⊉11404⫌⩹⨱))⪡((≴∭⊉16460↙≴∭⊉15234⩢≌)∽(≴∭⊉4022-≴∭⊉26163)≄⊠≴∭⊉22420⪥≴∭⊉10146)=NaN","reverse_text":"NaN=((↽≂≴∭⊉10604)⋕⪉⪜(≴∭⊉31454⫠)∷(≴∭⊉12630⊴≴∭⊉11404⫌⩹⨱))⪡((≴∭⊉16460↙≴∭⊉15234⩢≌)∽(≴∭⊉4022-≴∭⊉26163)≄⊠≴∭⊉22420⪥≴∭⊉10146)","cot":[{"info":"↽≂≴∭⊉10604=≴∭⊉-21511","layer":3},{"info":"≴∭⊉31454⫠=≴∭⊉0","layer":3},{"info":"≴∭⊉-21511⋕⪉⪜≴∭⊉0=≴∭⊉411","layer":2},{"info":"≴∭⊉12630⊴≴∭⊉11404=NaN","layer":3},{"info":"NaN⫌⩹⨱=NaN","layer":2},{"info":"≴∭⊉411∷NaN=NaN","layer":1},{"info":"≴∭⊉16460↙≴∭⊉15234=≴∭⊉-52035","layer":3},{"info":"≴∭⊉-52035⩢≌=≴∭⊉221","layer":2},{"info":"≴∭⊉4022-≴∭⊉26163=≴∭⊉-22141","layer":3},{"info":"≴∭⊉22420⪥≴∭⊉10146=≴∭⊉143004","layer":3},{"info":"≴∭⊉-22141≄⊠≴∭⊉143004=≴∭⊉3525540","layer":2},{"info":"≴∭⊉221∽≴∭⊉3525540=≴∭⊉-14214342","layer":1},{"info":"NaN⪡≴∭⊉-14214342=NaN","layer":0}]}
+{"id":796,"expression_no_base_symbol":"≛(($2325$⪛⫼$2824$)∀⇚≩(⇈$4656$)∙∹∝($1304$⩠)∙⊟(⩷⨜⫀$4194$))","expression":"≛((≴∭⊉6531⪛⫼≴∭⊉11143)∀⇚≩(⇈≴∭⊉16401)∙∹∝(≴∭⊉3542⩠)∙⊟(⩷⨜⫀≴∭⊉15141))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":8029,"operation_count":8,"complexity_ratio":1003.625,"tree":{"type":"unary","operator":"≛","unary_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":2325,"base":7},"right_expr":{"type":"numeric_atoms","value":2824,"base":7}},"right_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"numeric_atoms","value":4656,"base":7}}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":1304,"base":7}},"right_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"numeric_atoms","value":4194,"base":7}}}}},"used_operators":["W7eaUhjymW","HmxsFra2vL","LRNGc0VcxI","hyuBjUqXlG","SLLxy00UIr","SxTAKzQCrw","sJAwomhLZr","CDi0ktkjQ4"],"dependent_operators":["W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","X99M06cbEe","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","ruOEQAzv1W","nhYeJWJD5X"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2325","layer":4},{"info":"number node, value=2824","layer":4},{"info":"compute binary expreesion, left_input=2325, right_input=2824, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":3},{"info":"number node, value=4656","layer":4},{"info":"compute unary expreesion, input=4656, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=968, right_input=-447, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"number node, value=1304","layer":4},{"info":"compute unary expreesion, input=1304, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"number node, value=4194","layer":4},{"info":"compute unary expreesion, input=4194, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-3921","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-3921, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=22285","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=22285, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = W7eaUhjymW, unary_op_definition = '≛a = { (((a+a)⊉≛↸(a⪠⩆⊳))⊭↱((a⪒a)⩚⊴⇥(a⋝⋈⪟a))) , if (a⫩⊇)>7 or a==273 ; (((a-a)⪒(a⪨≂a))⊉≛↸((a⨰a)⋝⋈⪟(a+a))) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"≛((≴∭⊉6531⪛⫼≴∭⊉11143)∀⇚≩(⇈≴∭⊉16401)∙∹∝(≴∭⊉3542⩠)∙⊟(⩷⨜⫀≴∭⊉15141))=NaN","reverse_text":"NaN=≛((≴∭⊉6531⪛⫼≴∭⊉11143)∀⇚≩(⇈≴∭⊉16401)∙∹∝(≴∭⊉3542⩠)∙⊟(⩷⨜⫀≴∭⊉15141))","cot":[{"info":"≴∭⊉6531⪛⫼≴∭⊉11143=≴∭⊉2552","layer":3},{"info":"⇈≴∭⊉16401=≴∭⊉-1206","layer":3},{"info":"≴∭⊉2552∀⇚≩≴∭⊉-1206=NaN","layer":2},{"info":"≴∭⊉3542⩠=≴∭⊉0","layer":3},{"info":"⩷⨜⫀≴∭⊉15141=≴∭⊉-14301","layer":3},{"info":"≴∭⊉0∙⊟≴∭⊉-14301=≴∭⊉121654","layer":2},{"info":"NaN∙∹∝≴∭⊉121654=NaN","layer":1},{"info":"≛NaN=NaN","layer":0}]}
+{"id":797,"expression_no_base_symbol":"(($1194$⫥∨⫟$4431$)∋$6053$⇻⋧≁$2119$∷($2165$≠≀$1224$)↞⋁($1046$⩏))⊝⪿⪼(⊲⪭(($3470$⫳≱↱$1009$)⇟⨁⪰))","expression":"((≴∭⊉3324⫥∨⫟≴∭⊉15630)∋≴∭⊉23435⇻⋧≁≴∭⊉6115∷(≴∭⊉6212≠≀≴∭⊉3366)↞⋁(≴∭⊉3023⩏))⊝⪿⪼(⊲⪭((≴∭⊉13055⫳≱↱≴∭⊉2641)⇟⨁⪰))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":7411,"operation_count":11,"complexity_ratio":673.7272727272727,"tree":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1194,"base":7},"right_expr":{"type":"numeric_atoms","value":4431,"base":7}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":6053,"base":7},"right_expr":{"type":"numeric_atoms","value":2119,"base":7}}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":2165,"base":7},"right_expr":{"type":"numeric_atoms","value":1224,"base":7}},"right_expr":{"type":"unary","operator":"⩏","unary_expr":{"type":"numeric_atoms","value":1046,"base":7}}}},"right_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"unary","operator":"⇟⨁⪰","unary_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":3470,"base":7},"right_expr":{"type":"numeric_atoms","value":1009,"base":7}}}}},"used_operators":["3Oe9XWJUTD","D3AQDKkPcf","ukq6epAj5P","KYD54nUTWz","jCPkEVoL5K","RqrPlJkxDo","IwW236VD4Y","iA2gmKZ3Wj","k7HXdKtiEU","BX1lVwlMe0","ZvLB05nZmT"],"dependent_operators":["NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","9FxExcQeMw","NTOWxs364D","7j4O788W3g","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","8HhzD0ZcuI","rGHVDoGpnC","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","z6LnFrNh4i","Tcnh7f0tEr","i8ToyICDmI","xUOZtlo3hN","2DDjHMKMc0","xUOZtlo3hN","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1194","layer":4},{"info":"number node, value=4431","layer":4},{"info":"compute binary expreesion, left_input=1194, right_input=4431, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=6053","layer":4},{"info":"number node, value=2119","layer":4},{"info":"compute binary expreesion, left_input=6053, right_input=2119, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-447, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=nan","layer":2},{"info":"number node, value=2165","layer":4},{"info":"number node, value=1224","layer":4},{"info":"compute binary expreesion, left_input=2165, right_input=1224, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-4024","layer":3},{"info":"number node, value=1046","layer":4},{"info":"compute unary expreesion, input=1046, op_id = iA2gmKZ3Wj, unary_op_definition = 'a⩏ = { ((a⋕⪉⪜272)≣⋋) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-4024, right_input=0, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=nan","layer":1},{"info":"number node, value=3470","layer":4},{"info":"number node, value=1009","layer":4},{"info":"compute binary expreesion, left_input=3470, right_input=1009, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"compute unary expreesion, input=-204, op_id = BX1lVwlMe0, unary_op_definition = 'a⇟⨁⪰ = { (⨞⊢(a⋝⋈⪟a)) }', output=30","layer":2},{"info":"compute unary expreesion, input=30, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-204","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-204, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉3324⫥∨⫟≴∭⊉15630)∋≴∭⊉23435⇻⋧≁≴∭⊉6115∷(≴∭⊉6212≠≀≴∭⊉3366)↞⋁(≴∭⊉3023⩏))⊝⪿⪼(⊲⪭((≴∭⊉13055⫳≱↱≴∭⊉2641)⇟⨁⪰))=NaN","reverse_text":"NaN=((≴∭⊉3324⫥∨⫟≴∭⊉15630)∋≴∭⊉23435⇻⋧≁≴∭⊉6115∷(≴∭⊉6212≠≀≴∭⊉3366)↞⋁(≴∭⊉3023⩏))⊝⪿⪼(⊲⪭((≴∭⊉13055⫳≱↱≴∭⊉2641)⇟⨁⪰))","cot":[{"info":"≴∭⊉3324⫥∨⫟≴∭⊉15630=NaN","layer":3},{"info":"≴∭⊉23435⇻⋧≁≴∭⊉6115=≴∭⊉-1206","layer":3},{"info":"NaN∋≴∭⊉-1206=NaN","layer":2},{"info":"≴∭⊉6212≠≀≴∭⊉3366=≴∭⊉-14506","layer":3},{"info":"≴∭⊉3023⩏=≴∭⊉0","layer":3},{"info":"≴∭⊉-14506↞⋁≴∭⊉0=NaN","layer":2},{"info":"NaN∷NaN=NaN","layer":1},{"info":"≴∭⊉13055⫳≱↱≴∭⊉2641=≴∭⊉-411","layer":3},{"info":"≴∭⊉-411⇟⨁⪰=≴∭⊉42","layer":2},{"info":"⊲⪭≴∭⊉42=≴∭⊉-411","layer":1},{"info":"NaN⊝⪿⪼≴∭⊉-411=NaN","layer":0}]}
+{"id":798,"expression_no_base_symbol":"⩪∧⨌(($4629$⪡$1484$)≁(⇖⫷⫕$4117$)⇟⨁⪰)","expression":"⩪∧⨌((≴∭⊉16332⪡≴∭⊉4220)≁(⇖⫷⫕≴∭⊉15001)⇟⨁⪰)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":882,"operation_count":5,"complexity_ratio":176.4,"tree":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"unary","operator":"⇟⨁⪰","unary_expr":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":4629,"base":7},"right_expr":{"type":"numeric_atoms","value":1484,"base":7}},"right_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"numeric_atoms","value":4117,"base":7}}}}},"used_operators":["6iOiAJX1F8","BX1lVwlMe0","8N2wDY1A35","oraRL2iQuh","UHmRx3INFg"],"dependent_operators":["P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","2DDjHMKMc0","xUOZtlo3hN","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP"],"result":"≴∭⊉-4435532","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4629","layer":4},{"info":"number node, value=1484","layer":4},{"info":"compute binary expreesion, left_input=4629, right_input=1484, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"number node, value=4117","layer":4},{"info":"compute unary expreesion, input=4117, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":3},{"info":"compute binary expreesion, left_input=107, right_input=2822, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=54527","layer":2},{"info":"compute unary expreesion, input=54527, op_id = BX1lVwlMe0, unary_op_definition = 'a⇟⨁⪰ = { (⨞⊢(a⋝⋈⪟a)) }', output=-54701","layer":1},{"info":"compute unary expreesion, input=-54701, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=-547010","layer":0}],"base":7,"result_base":7,"text":"⩪∧⨌((≴∭⊉16332⪡≴∭⊉4220)≁(⇖⫷⫕≴∭⊉15001)⇟⨁⪰)=≴∭⊉-4435532","reverse_text":"≴∭⊉-4435532=⩪∧⨌((≴∭⊉16332⪡≴∭⊉4220)≁(⇖⫷⫕≴∭⊉15001)⇟⨁⪰)","cot":[{"info":"≴∭⊉16332⪡≴∭⊉4220=≴∭⊉212","layer":3},{"info":"⇖⫷⫕≴∭⊉15001=≴∭⊉11141","layer":3},{"info":"≴∭⊉212≁≴∭⊉11141=≴∭⊉314654","layer":2},{"info":"≴∭⊉314654⇟⨁⪰=≴∭⊉-315323","layer":1},{"info":"⩪∧⨌≴∭⊉-315323=≴∭⊉-4435532","layer":0}]}
+{"id":799,"expression_no_base_symbol":"(($2656$∝$3667$⪁$1012$≎⊠⪸$2972$)⫸⊐($8436$∌$8692$⪥⨬⪅))⫗⊷⫓(((+⊝⨔$3261$)⫡⨏(⪲⇎$1833$))⋳⪒((⇺⋃$1018$)⨐⩸⫘($2744$↺$1548$)))","expression":"((≴∭⊉10513∝≴∭⊉13456⪁≴∭⊉2644≎⊠⪸≴∭⊉11444)⫸⊐(≴∭⊉33411∌≴∭⊉34225⪥⨬⪅))⫗⊷⫓(((+⊝⨔≴∭⊉12336)⫡⨏(⪲⇎≴∭⊉5226))⋳⪒((⇺⋃≴∭⊉2653)⨐⩸⫘(≴∭⊉11000↺≴∭⊉4341)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1199208,"operation_count":14,"complexity_ratio":85657.71428571429,"tree":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":2656,"base":7},"right_expr":{"type":"numeric_atoms","value":3667,"base":7}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1012,"base":7},"right_expr":{"type":"numeric_atoms","value":2972,"base":7}}},"right_expr":{"type":"unary","operator":"⪥⨬⪅","unary_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":8436,"base":7},"right_expr":{"type":"numeric_atoms","value":8692,"base":7}}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":3261,"base":7}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1833,"base":7}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"numeric_atoms","value":1018,"base":7}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2744,"base":7},"right_expr":{"type":"numeric_atoms","value":1548,"base":7}}}}},"used_operators":["zashukvMKz","mqXw5SEYmG","I7sXao9hZE","cTDWOvIxvz","bJkvcejdHO","zNRQejTB5A","8cLx32lpNA","12rbrZMWeM","QMFrweE19q","DhbWaqg5eL","XPYlsWDdGa","fu6greOZ01","E5v5B3UAjG","7j4O788W3g"],"dependent_operators":["xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","7j4O788W3g","W4YGzv6Whe","COABgblf1C","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","d7ASUq0ydm","Uaa54Peajs","3EYGwJThht","y4ImoPnbV5","JwTKLfZU96","rJVOvQCfKK","uWAJUKEvyW","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","rysDP5nf3Z","t8gj7n24qd"],"result":"≴∭⊉-251","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2656","layer":4},{"info":"number node, value=3667","layer":4},{"info":"compute binary expreesion, left_input=2656, right_input=3667, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=2661","layer":3},{"info":"number node, value=1012","layer":4},{"info":"number node, value=2972","layer":4},{"info":"compute binary expreesion, left_input=1012, right_input=2972, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=261635","layer":3},{"info":"compute binary expreesion, left_input=2661, right_input=261635, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"number node, value=8436","layer":4},{"info":"number node, value=8692","layer":4},{"info":"compute binary expreesion, left_input=8436, right_input=8692, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-8692","layer":3},{"info":"compute unary expreesion, input=-8692, op_id = zNRQejTB5A, unary_op_definition = 'a⪥⨬⪅ = { (((a⨎1)⊹∫⫚(a⇄a))⫯⪬∳((a∽a)↳≱(∂a))) }', output=-473","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-473, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":1},{"info":"number node, value=3261","layer":4},{"info":"compute unary expreesion, input=3261, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":3},{"info":"number node, value=1833","layer":4},{"info":"compute unary expreesion, input=1833, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=3666","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=3666, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=15725","layer":2},{"info":"number node, value=1018","layer":4},{"info":"compute unary expreesion, input=1018, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=4469","layer":3},{"info":"number node, value=2744","layer":4},{"info":"number node, value=1548","layer":4},{"info":"compute binary expreesion, left_input=2744, right_input=1548, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1548","layer":3},{"info":"compute binary expreesion, left_input=4469, right_input=1548, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=15725, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉10513∝≴∭⊉13456⪁≴∭⊉2644≎⊠⪸≴∭⊉11444)⫸⊐(≴∭⊉33411∌≴∭⊉34225⪥⨬⪅))⫗⊷⫓(((+⊝⨔≴∭⊉12336)⫡⨏(⪲⇎≴∭⊉5226))⋳⪒((⇺⋃≴∭⊉2653)⨐⩸⫘(≴∭⊉11000↺≴∭⊉4341)))=≴∭⊉-251","reverse_text":"≴∭⊉-251=((≴∭⊉10513∝≴∭⊉13456⪁≴∭⊉2644≎⊠⪸≴∭⊉11444)⫸⊐(≴∭⊉33411∌≴∭⊉34225⪥⨬⪅))⫗⊷⫓(((+⊝⨔≴∭⊉12336)⫡⨏(⪲⇎≴∭⊉5226))⋳⪒((⇺⋃≴∭⊉2653)⨐⩸⫘(≴∭⊉11000↺≴∭⊉4341)))","cot":[{"info":"≴∭⊉10513∝≴∭⊉13456=≴∭⊉10521","layer":3},{"info":"≴∭⊉2644≎⊠⪸≴∭⊉11444=≴∭⊉2136533","layer":3},{"info":"≴∭⊉10521⪁≴∭⊉2136533=NaN","layer":2},{"info":"≴∭⊉33411∌≴∭⊉34225=≴∭⊉-34225","layer":3},{"info":"≴∭⊉-34225⪥⨬⪅=≴∭⊉-1244","layer":2},{"info":"NaN⫸⊐≴∭⊉-1244=NaN","layer":1},{"info":"+⊝⨔≴∭⊉12336=≴∭⊉4303","layer":3},{"info":"⪲⇎≴∭⊉5226=≴∭⊉13455","layer":3},{"info":"≴∭⊉4303⫡⨏≴∭⊉13455=≴∭⊉63563","layer":2},{"info":"⇺⋃≴∭⊉2653=≴∭⊉16013","layer":3},{"info":"≴∭⊉11000↺≴∭⊉4341=≴∭⊉4341","layer":3},{"info":"≴∭⊉16013⨐⩸⫘≴∭⊉4341=NaN","layer":2},{"info":"≴∭⊉63563⋳⪒NaN=NaN","layer":1},{"info":"NaN⫗⊷⫓NaN=≴∭⊉-251","layer":0}]}
+{"id":800,"expression_no_base_symbol":"($2966$≦≮≮)⊮⊟↴($3759$⩖⊿$2222$)⫃⨇($1921$⊾⪯⋞$5395$⫃⨇$5436$≒∊$6128$)*($3892$≚⊃≕$4577$)⨐($3236$⊢$2695$)⩷∴((⫛⫱⨽$8533$)⊋≦⊧($2339$⪁$3936$))","expression":"(≴∭⊉11435≦≮≮)⊮⊟↴(≴∭⊉13650⩖⊿≴∭⊉6323)⫃⨇(≴∭⊉5413⊾⪯⋞≴∭⊉21505⫃⨇≴∭⊉21564≒∊≴∭⊉23603)*(≴∭⊉14230≚⊃≕≴∭⊉16226)⨐(≴∭⊉12302⊢≴∭⊉10600)⩷∴((⫛⫱⨽≴∭⊉33610)⊋≦⊧(≴∭⊉6551⪁≴∭⊉14322))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":254946930,"operation_count":15,"complexity_ratio":16996462.0,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":2966,"base":7}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":3759,"base":7},"right_expr":{"type":"numeric_atoms","value":2222,"base":7}}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":1921,"base":7},"right_expr":{"type":"numeric_atoms","value":5395,"base":7}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":5436,"base":7},"right_expr":{"type":"numeric_atoms","value":6128,"base":7}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":3892,"base":7},"right_expr":{"type":"numeric_atoms","value":4577,"base":7}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":3236,"base":7},"right_expr":{"type":"numeric_atoms","value":2695,"base":7}}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":8533,"base":7}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":2339,"base":7},"right_expr":{"type":"numeric_atoms","value":3936,"base":7}}}}},"used_operators":["9HNa5Wba9A","09Ly4LVMIf","QDVgd2eftb","D4vGDi5EA2","RZ5CV9rWsJ","HK0tfVPux8","5KTvxBwnZo","9FxExcQeMw","Noe24qw2ks","Bmrmz2XGnR","5twsqlHp2o","oRDoc9rAEX","DlLNRPXxWL","I7sXao9hZE"],"dependent_operators":["W4YGzv6Whe","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","rysDP5nf3Z","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","rGHVDoGpnC","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY"],"result":"≴∭⊉1225042365","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2966","layer":4},{"info":"compute unary expreesion, input=2966, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-8898","layer":3},{"info":"number node, value=3759","layer":4},{"info":"number node, value=2222","layer":4},{"info":"compute binary expreesion, left_input=3759, right_input=2222, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=2658","layer":3},{"info":"compute binary expreesion, left_input=-8898, right_input=2658, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":2},{"info":"number node, value=1921","layer":4},{"info":"number node, value=5395","layer":4},{"info":"compute binary expreesion, left_input=1921, right_input=5395, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=10364","layer":3},{"info":"number node, value=5436","layer":4},{"info":"number node, value=6128","layer":4},{"info":"compute binary expreesion, left_input=5436, right_input=6128, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-4952","layer":3},{"info":"compute binary expreesion, left_input=10364, right_input=-4952, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=19776","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=19776, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-79136","layer":1},{"info":"number node, value=3892","layer":4},{"info":"number node, value=4577","layer":4},{"info":"compute binary expreesion, left_input=3892, right_input=4577, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":3},{"info":"number node, value=3236","layer":4},{"info":"number node, value=2695","layer":4},{"info":"compute binary expreesion, left_input=3236, right_input=2695, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-6716","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=-6716, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-134","layer":2},{"info":"number node, value=8533","layer":4},{"info":"compute unary expreesion, input=8533, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=2339","layer":4},{"info":"number node, value=3936","layer":4},{"info":"compute binary expreesion, left_input=2339, right_input=3936, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=192","layer":2},{"info":"compute binary expreesion, left_input=-134, right_input=192, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-684","layer":1},{"info":"compute binary expreesion, left_input=-79136, right_input=-684, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=54129024","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉11435≦≮≮)⊮⊟↴(≴∭⊉13650⩖⊿≴∭⊉6323)⫃⨇(≴∭⊉5413⊾⪯⋞≴∭⊉21505⫃⨇≴∭⊉21564≒∊≴∭⊉23603)*(≴∭⊉14230≚⊃≕≴∭⊉16226)⨐(≴∭⊉12302⊢≴∭⊉10600)⩷∴((⫛⫱⨽≴∭⊉33610)⊋≦⊧(≴∭⊉6551⪁≴∭⊉14322))=≴∭⊉1225042365","reverse_text":"≴∭⊉1225042365=(≴∭⊉11435≦≮≮)⊮⊟↴(≴∭⊉13650⩖⊿≴∭⊉6323)⫃⨇(≴∭⊉5413⊾⪯⋞≴∭⊉21505⫃⨇≴∭⊉21564≒∊≴∭⊉23603)*(≴∭⊉14230≚⊃≕≴∭⊉16226)⨐(≴∭⊉12302⊢≴∭⊉10600)⩷∴((⫛⫱⨽≴∭⊉33610)⊋≦⊧(≴∭⊉6551⪁≴∭⊉14322))","cot":[{"info":"≴∭⊉11435≦≮≮=≴∭⊉-34641","layer":3},{"info":"≴∭⊉13650⩖⊿≴∭⊉6323=≴∭⊉10515","layer":3},{"info":"≴∭⊉-34641⊮⊟↴≴∭⊉10515=≴∭⊉0","layer":2},{"info":"≴∭⊉5413⊾⪯⋞≴∭⊉21505=≴∭⊉42134","layer":3},{"info":"≴∭⊉21564≒∊≴∭⊉23603=≴∭⊉-20303","layer":3},{"info":"≴∭⊉42134⫃⨇≴∭⊉-20303=≴∭⊉111441","layer":2},{"info":"≴∭⊉0⫃⨇≴∭⊉111441=≴∭⊉-446501","layer":1},{"info":"≴∭⊉14230≚⊃≕≴∭⊉16226=≴∭⊉124","layer":3},{"info":"≴∭⊉12302⊢≴∭⊉10600=≴∭⊉-25403","layer":3},{"info":"≴∭⊉124⨐≴∭⊉-25403=≴∭⊉-251","layer":2},{"info":"⫛⫱⨽≴∭⊉33610=≴∭⊉0","layer":3},{"info":"≴∭⊉6551⪁≴∭⊉14322=NaN","layer":3},{"info":"≴∭⊉0⊋≦⊧NaN=≴∭⊉363","layer":2},{"info":"≴∭⊉-251⩷∴≴∭⊉363=≴∭⊉-1665","layer":1},{"info":"≴∭⊉-446501*≴∭⊉-1665=≴∭⊉1225042365","layer":0}]}
+{"id":801,"expression_no_base_symbol":"((↽≂($1312$⋷$4108$))⪥⨬⪅)∧","expression":"((↽≂(≴∭⊉3553⋷≴∭⊉14656))⪥⨬⪅)∧","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":554,"operation_count":4,"complexity_ratio":138.5,"tree":{"type":"unary","operator":"∧","unary_expr":{"type":"unary","operator":"⪥⨬⪅","unary_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1312,"base":7},"right_expr":{"type":"numeric_atoms","value":4108,"base":7}}}}},"used_operators":["z63VuFQld9","zNRQejTB5A","u6S6b8DprG","23Mk6UjR3U"],"dependent_operators":["B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","d7ASUq0ydm","Uaa54Peajs","3EYGwJThht","y4ImoPnbV5","JwTKLfZU96","rJVOvQCfKK","uWAJUKEvyW","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1312","layer":4},{"info":"number node, value=4108","layer":4},{"info":"compute binary expreesion, left_input=1312, right_input=4108, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=6904","layer":3},{"info":"compute unary expreesion, input=6904, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-13808","layer":2},{"info":"compute unary expreesion, input=-13808, op_id = zNRQejTB5A, unary_op_definition = 'a⪥⨬⪅ = { (((a⨎1)⊹∫⫚(a⇄a))⫯⪬∳((a∽a)↳≱(∂a))) }', output=-473","layer":1},{"info":"compute unary expreesion, input=-473, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=0","layer":0}],"base":7,"result_base":7,"text":"((↽≂(≴∭⊉3553⋷≴∭⊉14656))⪥⨬⪅)∧=≴∭⊉0","reverse_text":"≴∭⊉0=((↽≂(≴∭⊉3553⋷≴∭⊉14656))⪥⨬⪅)∧","cot":[{"info":"≴∭⊉3553⋷≴∭⊉14656=≴∭⊉26062","layer":3},{"info":"↽≂≴∭⊉26062=≴∭⊉-55154","layer":2},{"info":"≴∭⊉-55154⪥⨬⪅=≴∭⊉-1244","layer":1},{"info":"≴∭⊉-1244∧=≴∭⊉0","layer":0}]}
+{"id":802,"expression_no_base_symbol":"(((⪫⨮⊛$2961$)⫔⩽⩺$1919$≭$2155$)⨽∌(($3993$∥⊢⊲$2706$)≝⊿($3186$⨒$3063$)))⪝((($6504$⊱⇼⊻$2432$)⊉↱≁($2275$⋥⋵⩄$2781$))⨽∌($1877$∖$2409$)⊕∕($1796$⫘$7235$))","expression":"(((⪫⨮⊛≴∭⊉11430)⫔⩽⩺≴∭⊉5411≭≴∭⊉6166)⨽∌((≴∭⊉14433∥⊢⊲≴∭⊉10614)≝⊿(≴∭⊉12201⨒≴∭⊉11634)))⪝(((≴∭⊉24651⊱⇼⊻≴∭⊉10043)⊉↱≁(≴∭⊉6430⋥⋵⩄≴∭⊉11052))⨽∌(≴∭⊉5321∖≴∭⊉10011)⊕∕(≴∭⊉5144⫘≴∭⊉30044))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1788761,"operation_count":15,"complexity_ratio":119250.73333333334,"tree":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"numeric_atoms","value":2961,"base":7}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1919,"base":7},"right_expr":{"type":"numeric_atoms","value":2155,"base":7}}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":3993,"base":7},"right_expr":{"type":"numeric_atoms","value":2706,"base":7}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":3186,"base":7},"right_expr":{"type":"numeric_atoms","value":3063,"base":7}}}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":6504,"base":7},"right_expr":{"type":"numeric_atoms","value":2432,"base":7}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":2275,"base":7},"right_expr":{"type":"numeric_atoms","value":2781,"base":7}}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":1877,"base":7},"right_expr":{"type":"numeric_atoms","value":2409,"base":7}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":1796,"base":7},"right_expr":{"type":"numeric_atoms","value":7235,"base":7}}}}},"used_operators":["wicAB68Tmb","9samAPKr6k","i9eR4S00cU","w5FWba1tyO","rxpJgHHUmx","OKKcZfAt5B","v1UQAVDJRr","y75s1iXyHd","w2P8NbNXyL","FyVja0WsTP","7t3wd0Fuz7","9cloC0Ngie","tXD093vOjl","48vC8HMD2b"],"dependent_operators":["L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","Tw270M8GLb","fu6greOZ01","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","AHs5Up7iyr","12rbrZMWeM","EBcxylXtPf","rGHVDoGpnC","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2961","layer":4},{"info":"compute unary expreesion, input=2961, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":3},{"info":"number node, value=1919","layer":4},{"info":"number node, value=2155","layer":4},{"info":"compute binary expreesion, left_input=1919, right_input=2155, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":2},{"info":"number node, value=3993","layer":4},{"info":"number node, value=2706","layer":4},{"info":"compute binary expreesion, left_input=3993, right_input=2706, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"number node, value=3186","layer":4},{"info":"number node, value=3063","layer":4},{"info":"compute binary expreesion, left_input=3186, right_input=3063, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-18744","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-18744, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=nan","layer":1},{"info":"number node, value=6504","layer":4},{"info":"number node, value=2432","layer":4},{"info":"compute binary expreesion, left_input=6504, right_input=2432, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"number node, value=2275","layer":4},{"info":"number node, value=2781","layer":4},{"info":"compute binary expreesion, left_input=2275, right_input=2781, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=434, right_input=113, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=3610","layer":2},{"info":"number node, value=1877","layer":4},{"info":"number node, value=2409","layer":4},{"info":"compute binary expreesion, left_input=1877, right_input=2409, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"number node, value=1796","layer":4},{"info":"number node, value=7235","layer":4},{"info":"compute binary expreesion, left_input=1796, right_input=7235, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=2116501","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2116501, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=3610, right_input=0, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(((⪫⨮⊛≴∭⊉11430)⫔⩽⩺≴∭⊉5411≭≴∭⊉6166)⨽∌((≴∭⊉14433∥⊢⊲≴∭⊉10614)≝⊿(≴∭⊉12201⨒≴∭⊉11634)))⪝(((≴∭⊉24651⊱⇼⊻≴∭⊉10043)⊉↱≁(≴∭⊉6430⋥⋵⩄≴∭⊉11052))⨽∌(≴∭⊉5321∖≴∭⊉10011)⊕∕(≴∭⊉5144⫘≴∭⊉30044))=NaN","reverse_text":"NaN=(((⪫⨮⊛≴∭⊉11430)⫔⩽⩺≴∭⊉5411≭≴∭⊉6166)⨽∌((≴∭⊉14433∥⊢⊲≴∭⊉10614)≝⊿(≴∭⊉12201⨒≴∭⊉11634)))⪝(((≴∭⊉24651⊱⇼⊻≴∭⊉10043)⊉↱≁(≴∭⊉6430⋥⋵⩄≴∭⊉11052))⨽∌(≴∭⊉5321∖≴∭⊉10011)⊕∕(≴∭⊉5144⫘≴∭⊉30044))","cot":[{"info":"⪫⨮⊛≴∭⊉11430=NaN","layer":3},{"info":"≴∭⊉5411≭≴∭⊉6166=NaN","layer":3},{"info":"NaN⫔⩽⩺NaN=NaN","layer":2},{"info":"≴∭⊉14433∥⊢⊲≴∭⊉10614=NaN","layer":3},{"info":"≴∭⊉12201⨒≴∭⊉11634=≴∭⊉-105435","layer":3},{"info":"NaN≝⊿≴∭⊉-105435=NaN","layer":2},{"info":"NaN⨽∌NaN=NaN","layer":1},{"info":"≴∭⊉24651⊱⇼⊻≴∭⊉10043=≴∭⊉1160","layer":3},{"info":"≴∭⊉6430⋥⋵⩄≴∭⊉11052=≴∭⊉221","layer":3},{"info":"≴∭⊉1160⊉↱≁≴∭⊉221=≴∭⊉13345","layer":2},{"info":"≴∭⊉5321∖≴∭⊉10011=≴∭⊉0","layer":3},{"info":"≴∭⊉5144⫘≴∭⊉30044=≴∭⊉23663362","layer":3},{"info":"≴∭⊉0⊕∕≴∭⊉23663362=≴∭⊉0","layer":2},{"info":"≴∭⊉13345⨽∌≴∭⊉0=NaN","layer":1},{"info":"NaN⪝NaN=NaN","layer":0}]}
+{"id":803,"expression_no_base_symbol":"((($2786$↠)⪕(⪭⩑⪱$3040$))≦↸(($6753$⋥⋵⩄$1165$)⪗))⋹⋡⊁((($4617$⩺⪪$1007$)⨌↪)⩌⋺(($5818$⨳⩥⨓$2891$)⨱��))","expression":"(((≴∭⊉11060↠)⪕(⪭⩑⪱≴∭⊉11602))≦↸((≴∭⊉25455⋥⋵⩄≴∭⊉3253)⪗))⋹⋡⊁(((≴∭⊉16314⩺⪪≴∭⊉2636)⨌↪)⩌⋺((≴∭⊉22651⨳⩥⨓≴∭⊉11300)⨱∎))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":621259,"operation_count":12,"complexity_ratio":51771.583333333336,"tree":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"unary","operator":"↠","unary_expr":{"type":"numeric_atoms","value":2786,"base":7}},"right_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"numeric_atoms","value":3040,"base":7}}},"right_expr":{"type":"unary","operator":"⪗","unary_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":6753,"base":7},"right_expr":{"type":"numeric_atoms","value":1165,"base":7}}}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"unary","operator":"⨌↪","unary_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":4617,"base":7},"right_expr":{"type":"numeric_atoms","value":1007,"base":7}}},"right_expr":{"type":"unary","operator":"⨱∎","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":5818,"base":7},"right_expr":{"type":"numeric_atoms","value":2891,"base":7}}}}},"used_operators":["As8RqfVLgs","RygbFNSyEJ","umQnsF7QlU","LBdsKIvxzf","SIgE0bArFf","VEQNXA0ZBg","7t3wd0Fuz7","g7Hmc5v1ko","cWQsF5MvuD","uvdQJvN4PV","MmTdOpaElr","nCS4ZIUYfx"],"dependent_operators":["ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","d7ASUq0ydm","rysDP5nf3Z","Noe24qw2ks","xRrnTEsQ6j","dfKe02y8D2","Tw270M8GLb","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","dWAJyo7jo9","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","8w2t5hMYqp","2DQ55sFlQl","i8ToyICDmI","QMFrweE19q","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","tifHPKVTfV","W4YGzv6Whe","rysDP5nf3Z"],"result":"≴∭⊉3143","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2786","layer":4},{"info":"compute unary expreesion, input=2786, op_id = LBdsKIvxzf, unary_op_definition = 'a↠ = { ((⨰⫟⨤603)⨐(a⫯⪬∳a)) , if (a⫁⪎18)<=15 ; (167⫚↹⊑(a-a)) , else }', output=-447","layer":3},{"info":"number node, value=3040","layer":4},{"info":"compute unary expreesion, input=3040, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=8320752, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=-55","layer":2},{"info":"number node, value=6753","layer":4},{"info":"number node, value=1165","layer":4},{"info":"compute binary expreesion, left_input=6753, right_input=1165, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"compute unary expreesion, input=113, op_id = VEQNXA0ZBg, unary_op_definition = 'a⪗ = { (a⪢a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-55, right_input=nan, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=nan","layer":1},{"info":"number node, value=4617","layer":4},{"info":"number node, value=1007","layer":4},{"info":"compute binary expreesion, left_input=4617, right_input=1007, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-58658","layer":3},{"info":"compute unary expreesion, input=-58658, op_id = cWQsF5MvuD, unary_op_definition = 'a⨌↪ = { (⊄⩳↩((a∲⫓a)⨵⪆(a⫡⨏a))) }', output=-480","layer":2},{"info":"number node, value=5818","layer":4},{"info":"number node, value=2891","layer":4},{"info":"compute binary expreesion, left_input=5818, right_input=2891, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2927","layer":3},{"info":"compute unary expreesion, input=-2927, op_id = MmTdOpaElr, unary_op_definition = 'a⨱∎ = { (a⇼⇔∾a) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-480, right_input=0, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=359","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=359, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=1109","layer":0}],"base":7,"result_base":7,"text":"(((≴∭⊉11060↠)⪕(⪭⩑⪱≴∭⊉11602))≦↸((≴∭⊉25455⋥⋵⩄≴∭⊉3253)⪗))⋹⋡⊁(((≴∭⊉16314⩺⪪≴∭⊉2636)⨌↪)⩌⋺((≴∭⊉22651⨳⩥⨓≴∭⊉11300)⨱∎))=≴∭⊉3143","reverse_text":"≴∭⊉3143=(((≴∭⊉11060↠)⪕(⪭⩑⪱≴∭⊉11602))≦↸((≴∭⊉25455⋥⋵⩄≴∭⊉3253)⪗))⋹⋡⊁(((≴∭⊉16314⩺⪪≴∭⊉2636)⨌↪)⩌⋺((≴∭⊉22651⨳⩥⨓≴∭⊉11300)⨱∎))","cot":[{"info":"≴∭⊉11060↠=≴∭⊉-1206","layer":3},{"info":"⪭⩑⪱≴∭⊉11602=≴∭⊉130503516","layer":3},{"info":"≴∭⊉-1206⪕≴∭⊉130503516=≴∭⊉-106","layer":2},{"info":"≴∭⊉25455⋥⋵⩄≴∭⊉3253=≴∭⊉221","layer":3},{"info":"≴∭⊉221⪗=NaN","layer":2},{"info":"≴∭⊉-106≦↸NaN=NaN","layer":1},{"info":"≴∭⊉16314⩺⪪≴∭⊉2636=≴∭⊉-333005","layer":3},{"info":"≴∭⊉-333005⨌↪=≴∭⊉-1254","layer":2},{"info":"≴∭⊉22651⨳⩥⨓≴∭⊉11300=≴∭⊉-11351","layer":3},{"info":"≴∭⊉-11351⨱∎=≴∭⊉0","layer":2},{"info":"≴∭⊉-1254⩌⋺≴∭⊉0=≴∭⊉1022","layer":1},{"info":"NaN⋹⋡⊁≴∭⊉1022=≴∭⊉3143","layer":0}]}
+{"id":804,"expression_no_base_symbol":"(⊑(⨡↴($8239$⫑%∭)))⫥∨⫟(($3866$/$1652$)⇣⩺⋵$4670$⇤$3195$⨵⪆($6478$⫁$3663$⫻⋑⊟))","expression":"(⊑(⨡↴(≴∭⊉33010⫑%∭)))⫥∨⫟((≴∭⊉14162/≴∭⊉4550)⇣⩺⋵≴∭⊉16421⇤≴∭⊉12213⨵⪆(≴∭⊉24613⫁≴∭⊉13452⫻⋑⊟))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2010,"operation_count":10,"complexity_ratio":201.0,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"unary","operator":"⫑%∭","unary_expr":{"type":"numeric_atoms","value":8239,"base":7}}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":3866,"base":7},"right_expr":{"type":"numeric_atoms","value":1652,"base":7}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":4670,"base":7},"right_expr":{"type":"numeric_atoms","value":3195,"base":7}}},"right_expr":{"type":"unary","operator":"⫻⋑⊟","unary_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":6478,"base":7},"right_expr":{"type":"numeric_atoms","value":3663,"base":7}}}}},"used_operators":["KYD54nUTWz","IkUmn0D7oy","liw5iZPkLH","xUx7qlDO4z","2DQ55sFlQl","F4yD0voBRQ","XhwjNDsVaA","YSKBFp38Pu","o575Zjdmzy","0ajvFaJAv0"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","W4YGzv6Whe","P8v4zCKN1o","GODebY97qR","qWUSsah53b","XhwjNDsVaA","oZj3VtZNQx","KYD54nUTWz","nREPSIbpBE","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","rysDP5nf3Z","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","rysDP5nf3Z","sdazOOVcIp","12rbrZMWeM","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","cHh1gJQ2o6","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=8239","layer":4},{"info":"compute unary expreesion, input=8239, op_id = xUx7qlDO4z, unary_op_definition = 'a⫑%∭ = { (((a⨟⋌⩍23)⫥∨⫟(a≀⫉a))/((a⨚141)⪟⇏(⫡⇟⇯a))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":1},{"info":"number node, value=3866","layer":4},{"info":"number node, value=1652","layer":4},{"info":"compute binary expreesion, left_input=3866, right_input=1652, op_id = XhwjNDsVaA binary_op_definition= 'None', output=2","layer":3},{"info":"number node, value=4670","layer":4},{"info":"number node, value=3195","layer":4},{"info":"compute binary expreesion, left_input=4670, right_input=3195, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-36477","layer":3},{"info":"compute binary expreesion, left_input=2, right_input=-36477, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":2},{"info":"number node, value=6478","layer":4},{"info":"number node, value=3663","layer":4},{"info":"compute binary expreesion, left_input=6478, right_input=3663, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = o575Zjdmzy, unary_op_definition = 'a⫻⋑⊟ = { ((a⨸⪁(⨞⊢a))⪨≂((a∲⫓a)⋳⪒(265-a))) }', output=-450","layer":2},{"info":"compute binary expreesion, left_input=-260, right_input=-450, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=192, right_input=160, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(⊑(⨡↴(≴∭⊉33010⫑%∭)))⫥∨⫟((≴∭⊉14162/≴∭⊉4550)⇣⩺⋵≴∭⊉16421⇤≴∭⊉12213⨵⪆(≴∭⊉24613⫁≴∭⊉13452⫻⋑⊟))=NaN","reverse_text":"NaN=(⊑(⨡↴(≴∭⊉33010⫑%∭)))⫥∨⫟((≴∭⊉14162/≴∭⊉4550)⇣⩺⋵≴∭⊉16421⇤≴∭⊉12213⨵⪆(≴∭⊉24613⫁≴∭⊉13452⫻⋑⊟))","cot":[{"info":"≴∭⊉33010⫑%∭=NaN","layer":3},{"info":"⨡↴NaN=NaN","layer":2},{"info":"⊑NaN=≴∭⊉363","layer":1},{"info":"≴∭⊉14162/≴∭⊉4550=≴∭⊉2","layer":3},{"info":"≴∭⊉16421⇤≴∭⊉12213=≴∭⊉-211230","layer":3},{"info":"≴∭⊉2⇣⩺⋵≴∭⊉-211230=≴∭⊉-521","layer":2},{"info":"≴∭⊉24613⫁≴∭⊉13452=≴∭⊉316","layer":3},{"info":"≴∭⊉316⫻⋑⊟=≴∭⊉-1212","layer":2},{"info":"≴∭⊉-521⨵⪆≴∭⊉-1212=≴∭⊉316","layer":1},{"info":"≴∭⊉363⫥∨⫟≴∭⊉316=NaN","layer":0}]}
+{"id":805,"expression_no_base_symbol":"($1342$↳∿⪆$1807$≎⊠⪸$1136$⫣⪄⊒$1859$)⪝(($2464$⫳≱↱$3215$)∸)⨽∌(⨣⨃⇪($1564$∽$3403$))⫞⩸⩒((≯$4424$)∽$1733$⊹∫⫚$4552$)","expression":"(≴∭⊉3625↳∿⪆≴∭⊉5161≎⊠⪸≴∭⊉3212⫣⪄⊒≴∭⊉5264)⪝((≴∭⊉10120⫳≱↱≴∭⊉12242)∸)⨽∌(⨣⨃⇪(≴∭⊉4363∽≴∭⊉12631))⫞⩸⩒((≯≴∭⊉15620)∽≴∭⊉5024⊹∫⫚≴∭⊉16162)","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":3508,"operation_count":13,"complexity_ratio":269.84615384615387,"tree":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":1342,"base":7},"right_expr":{"type":"numeric_atoms","value":1807,"base":7}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":1136,"base":7},"right_expr":{"type":"numeric_atoms","value":1859,"base":7}}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":2464,"base":7},"right_expr":{"type":"numeric_atoms","value":3215,"base":7}}}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":1564,"base":7},"right_expr":{"type":"numeric_atoms","value":3403,"base":7}}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"numeric_atoms","value":4424,"base":7}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":1733,"base":7},"right_expr":{"type":"numeric_atoms","value":4552,"base":7}}}}},"used_operators":["9samAPKr6k","wicAB68Tmb","bJkvcejdHO","Cw4SuJJGHO","RabNbG55vr","o20kRiQErp","ZvLB05nZmT","XGcMNugi78","AcOhelriW5","y4ImoPnbV5","keWfFq85dY","uWAJUKEvyW"],"dependent_operators":["YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","tmPS8pqC7x","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","NTOWxs364D","QMFrweE19q","g55IO6H4Gj","JLbD19bQDL","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1342","layer":4},{"info":"number node, value=1807","layer":4},{"info":"compute binary expreesion, left_input=1342, right_input=1807, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"number node, value=1136","layer":4},{"info":"number node, value=1859","layer":4},{"info":"compute binary expreesion, left_input=1136, right_input=1859, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-9394","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-9394, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":2},{"info":"number node, value=2464","layer":4},{"info":"number node, value=3215","layer":4},{"info":"compute binary expreesion, left_input=2464, right_input=3215, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"compute unary expreesion, input=-204, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=177, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":1},{"info":"number node, value=1564","layer":4},{"info":"number node, value=3403","layer":4},{"info":"compute binary expreesion, left_input=1564, right_input=3403, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-17851","layer":3},{"info":"compute unary expreesion, input=-17851, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":2},{"info":"number node, value=4424","layer":4},{"info":"compute unary expreesion, input=4424, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":3},{"info":"number node, value=1733","layer":4},{"info":"number node, value=4552","layer":4},{"info":"compute binary expreesion, left_input=1733, right_input=4552, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-8","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-8, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=202","layer":2},{"info":"compute binary expreesion, left_input=1405, right_input=202, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=202","layer":1},{"info":"compute binary expreesion, left_input=237, right_input=202, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉3625↳∿⪆≴∭⊉5161≎⊠⪸≴∭⊉3212⫣⪄⊒≴∭⊉5264)⪝((≴∭⊉10120⫳≱↱≴∭⊉12242)∸)⨽∌(⨣⨃⇪(≴∭⊉4363∽≴∭⊉12631))⫞⩸⩒((≯≴∭⊉15620)∽≴∭⊉5024⊹∫⫚≴∭⊉16162)=≴∭⊉0","reverse_text":"≴∭⊉0=(≴∭⊉3625↳∿⪆≴∭⊉5161≎⊠⪸≴∭⊉3212⫣⪄⊒≴∭⊉5264)⪝((≴∭⊉10120⫳≱↱≴∭⊉12242)∸)⨽∌(⨣⨃⇪(≴∭⊉4363∽≴∭⊉12631))⫞⩸⩒((≯≴∭⊉15620)∽≴∭⊉5024⊹∫⫚≴∭⊉16162)","cot":[{"info":"≴∭⊉3625↳∿⪆≴∭⊉5161=NaN","layer":3},{"info":"≴∭⊉3212⫣⪄⊒≴∭⊉5264=≴∭⊉-36250","layer":3},{"info":"NaN≎⊠⪸≴∭⊉-36250=≴∭⊉124","layer":2},{"info":"≴∭⊉10120⫳≱↱≴∭⊉12242=≴∭⊉-411","layer":3},{"info":"≴∭⊉-411∸=≴∭⊉342","layer":2},{"info":"≴∭⊉124⪝≴∭⊉342=≴∭⊉456","layer":1},{"info":"≴∭⊉4363∽≴∭⊉12631=≴∭⊉-103021","layer":3},{"info":"⨣⨃⇪≴∭⊉-103021=≴∭⊉4045","layer":2},{"info":"≯≴∭⊉15620=≴∭⊉0","layer":3},{"info":"≴∭⊉5024⊹∫⫚≴∭⊉16162=≴∭⊉-11","layer":3},{"info":"≴∭⊉0∽≴∭⊉-11=≴∭⊉406","layer":2},{"info":"≴∭⊉4045⫞⩸⩒≴∭⊉406=≴∭⊉406","layer":1},{"info":"≴∭⊉456⨽∌≴∭⊉406=≴∭⊉0","layer":0}]}
+{"id":806,"expression_no_base_symbol":"(≸($2932$⪭≯$5056$⫸⇳$1009$≀⫉$1841$))⩁⩘((⩪∧⨌(≦∁$2408$))≑≱⪘)","expression":"(≸(≴∭⊉11356⪭≯≴∭⊉20512⫸⇳≴∭⊉2641≀⫉≴∭⊉5240))⩁⩘((⩪∧⨌(≦∁≴∭⊉10010))≑≱⪘)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":546,"operation_count":8,"complexity_ratio":68.25,"tree":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":2932,"base":7},"right_expr":{"type":"numeric_atoms","value":5056,"base":7}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":1009,"base":7},"right_expr":{"type":"numeric_atoms","value":1841,"base":7}}}},"right_expr":{"type":"unary","operator":"≑≱⪘","unary_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":2408,"base":7}}}}},"used_operators":["gub5Cegaqo","eOf03JbCpp","gx7XJ7hdpj","XAx5wpdLa6","oZj3VtZNQx","tGSeddj7UK","6iOiAJX1F8","9ICcGScMcE"],"dependent_operators":["DpFCA1CohY","IWmyXbctLI","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2932","layer":4},{"info":"number node, value=5056","layer":4},{"info":"compute binary expreesion, left_input=2932, right_input=5056, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"number node, value=1009","layer":4},{"info":"number node, value=1841","layer":4},{"info":"compute binary expreesion, left_input=1009, right_input=1841, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2822, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=nan","layer":1},{"info":"number node, value=2408","layer":4},{"info":"compute unary expreesion, input=2408, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2408","layer":3},{"info":"compute unary expreesion, input=2408, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=24080","layer":2},{"info":"compute unary expreesion, input=24080, op_id = tGSeddj7UK, unary_op_definition = 'a≑≱⪘ = { ((⊄⩳↩(6≧⫂∧a))⩍⋽⫝̸((a⊲⩕⊾a)≦↸(a⋆⋳))) , if (a↹⊜255)>=30 or (a↯⫤)>122 ; ((a⩷∴(a⪒⊣⊆a))⨽(a⊬⫿⊭)) , else }', output=622445","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=622445, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≸(≴∭⊉11356⪭≯≴∭⊉20512⫸⇳≴∭⊉2641≀⫉≴∭⊉5240))⩁⩘((⩪∧⨌(≦∁≴∭⊉10010))≑≱⪘)=NaN","reverse_text":"NaN=(≸(≴∭⊉11356⪭≯≴∭⊉20512⫸⇳≴∭⊉2641≀⫉≴∭⊉5240))⩁⩘((⩪∧⨌(≦∁≴∭⊉10010))≑≱⪘)","cot":[{"info":"≴∭⊉11356⪭≯≴∭⊉20512=NaN","layer":3},{"info":"≴∭⊉2641≀⫉≴∭⊉5240=≴∭⊉11141","layer":3},{"info":"NaN⫸⇳≴∭⊉11141=NaN","layer":2},{"info":"≸NaN=NaN","layer":1},{"info":"≦∁≴∭⊉10010=≴∭⊉10010","layer":3},{"info":"⩪∧⨌≴∭⊉10010=≴∭⊉130130","layer":2},{"info":"≴∭⊉130130≑≱⪘=≴∭⊉5201465","layer":1},{"info":"NaN⩁⩘≴∭⊉5201465=NaN","layer":0}]}
+{"id":807,"expression_no_base_symbol":"⊥((⊖$1247$)⩁⩘($1959$≳⇉$1042$)⨭⪣($3688$⪬∳)⪘⫢(⨝⨆$2990$))","expression":"⊥((⊖≴∭⊉3431)⩁⩘(≴∭⊉5466≳⇉≴∭⊉3016)⨭⪣(≴∭⊉13516⪬∳)⪘⫢(⨝⨆≴∭⊉11501))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":17388513,"operation_count":8,"complexity_ratio":2173564.125,"tree":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"numeric_atoms","value":1247,"base":7}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":1959,"base":7},"right_expr":{"type":"numeric_atoms","value":1042,"base":7}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⪬∳","unary_expr":{"type":"numeric_atoms","value":3688,"base":7}},"right_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"numeric_atoms","value":2990,"base":7}}}}},"used_operators":["Q3PJZHRvZv","kn8WO9XteQ","gub5Cegaqo","U6pG0PXrV3","V0kx6qeWkN","oacrs7FA3X","O9U3z1385E","bQ67fsrMVf"],"dependent_operators":["fu6greOZ01","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","DpFCA1CohY","IWmyXbctLI","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","FU0Cs4j7VP","ukq6epAj5P","k7HXdKtiEU","zVYPLywUTj","LYeZOJ0nQG","kuIXHzHcAH","tcjXMdvYtA","tifHPKVTfV"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1247","layer":4},{"info":"compute unary expreesion, input=1247, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":3},{"info":"number node, value=1959","layer":4},{"info":"number node, value=1042","layer":4},{"info":"compute binary expreesion, left_input=1959, right_input=1042, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=nan","layer":2},{"info":"number node, value=3688","layer":4},{"info":"compute unary expreesion, input=3688, op_id = O9U3z1385E, unary_op_definition = 'a⪬∳ = { ((a∋a)⊪) , if ((a⪨⊡684)!=357 and (≘a)<480 and (⊲⪭a)>=673) ; (⫎≠⋺(a↛⩡⫤)) , else }', output=-709","layer":3},{"info":"number node, value=2990","layer":4},{"info":"compute unary expreesion, input=2990, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=2781","layer":3},{"info":"compute binary expreesion, left_input=-709, right_input=2781, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"⊥((⊖≴∭⊉3431)⩁⩘(≴∭⊉5466≳⇉≴∭⊉3016)⨭⪣(≴∭⊉13516⪬∳)⪘⫢(⨝⨆≴∭⊉11501))=NaN","reverse_text":"NaN=⊥((⊖≴∭⊉3431)⩁⩘(≴∭⊉5466≳⇉≴∭⊉3016)⨭⪣(≴∭⊉13516⪬∳)⪘⫢(⨝⨆≴∭⊉11501))","cot":[{"info":"⊖≴∭⊉3431=≴∭⊉0","layer":3},{"info":"≴∭⊉5466≳⇉≴∭⊉3016=NaN","layer":3},{"info":"≴∭⊉0⩁⩘NaN=NaN","layer":2},{"info":"≴∭⊉13516⪬∳=≴∭⊉-2032","layer":3},{"info":"⨝⨆≴∭⊉11501=≴∭⊉11052","layer":3},{"info":"≴∭⊉-2032⪘⫢≴∭⊉11052=≴∭⊉0","layer":2},{"info":"NaN⨭⪣≴∭⊉0=NaN","layer":1},{"info":"⊥NaN=NaN","layer":0}]}
+{"id":808,"expression_no_base_symbol":"(⫡⇟⇯($1743$≭$1029$))*($1805$⊋≦⊧$6887$)∘(⨝⨆$4060$)↱(⊢≑≆(($4160$⋆⋳)⇀∌))","expression":"(⫡⇟⇯(≴∭⊉5040≭≴∭⊉3000))*(≴∭⊉5156⊋≦⊧≴∭⊉26036)∘(⨝⨆≴∭⊉14560)↱(⊢≑≆((≴∭⊉15062⋆⋳)⇀∌))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":306,"operation_count":10,"complexity_ratio":30.6,"tree":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1743,"base":7},"right_expr":{"type":"numeric_atoms","value":1029,"base":7}}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":1805,"base":7},"right_expr":{"type":"numeric_atoms","value":6887,"base":7}},"right_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"numeric_atoms","value":4060,"base":7}}}},"right_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"unary","operator":"⇀∌","unary_expr":{"type":"unary","operator":"⋆⋳","unary_expr":{"type":"numeric_atoms","value":4160,"base":7}}}}},"used_operators":["SR5kFfdi6N","9HNa5Wba9A","qWUSsah53b","rxpJgHHUmx","Z5m6OM72h2","oRDoc9rAEX","bQ67fsrMVf","27wFxooxGf","2k53nXOpI5","6MpZysEj17"],"dependent_operators":["k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","W4YGzv6Whe","DZ8iAZOCBD","P8v4zCKN1o","AHs5Up7iyr","eH2TOUuTDT","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","tifHPKVTfV","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","Q3PJZHRvZv","ddLRYrp01A","AcOhelriW5","7t3wd0Fuz7","3tVxb0NHM4","9FxExcQeMw","7j4O788W3g","DIvbN7qnHd"],"result":"≴∭⊉64033","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1743","layer":4},{"info":"number node, value=1029","layer":4},{"info":"compute binary expreesion, left_input=1743, right_input=1029, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=nan","layer":2},{"info":"number node, value=1805","layer":4},{"info":"number node, value=6887","layer":4},{"info":"compute binary expreesion, left_input=1805, right_input=6887, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=-8452","layer":3},{"info":"number node, value=4060","layer":4},{"info":"compute unary expreesion, input=4060, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=3851","layer":3},{"info":"compute binary expreesion, left_input=-8452, right_input=3851, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=-16904","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-16904, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=4160","layer":4},{"info":"compute unary expreesion, input=4160, op_id = 6MpZysEj17, unary_op_definition = 'a⋆⋳ = { ((a⊠≄⫣)⩷∴(a↺a)) }', output=-8352","layer":3},{"info":"compute unary expreesion, input=-8352, op_id = 2k53nXOpI5, unary_op_definition = 'a⇀∌ = { ((a⪎↠(⨣⨃⇪a))⋥⋵⩄(a∊∟⩊(⊥a))) }', output=113","layer":2},{"info":"compute unary expreesion, input=113, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=-33","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-33, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=15802","layer":0}],"base":7,"result_base":7,"text":"(⫡⇟⇯(≴∭⊉5040≭≴∭⊉3000))*(≴∭⊉5156⊋≦⊧≴∭⊉26036)∘(⨝⨆≴∭⊉14560)↱(⊢≑≆((≴∭⊉15062⋆⋳)⇀∌))=≴∭⊉64033","reverse_text":"≴∭⊉64033=(⫡⇟⇯(≴∭⊉5040≭≴∭⊉3000))*(≴∭⊉5156⊋≦⊧≴∭⊉26036)∘(⨝⨆≴∭⊉14560)↱(⊢≑≆((≴∭⊉15062⋆⋳)⇀∌))","cot":[{"info":"≴∭⊉5040≭≴∭⊉3000=NaN","layer":3},{"info":"⫡⇟⇯NaN=NaN","layer":2},{"info":"≴∭⊉5156⊋≦⊧≴∭⊉26036=≴∭⊉-33433","layer":3},{"info":"⨝⨆≴∭⊉14560=≴∭⊉14141","layer":3},{"info":"≴∭⊉-33433∘≴∭⊉14141=≴∭⊉-100166","layer":2},{"info":"NaN*≴∭⊉-100166=NaN","layer":1},{"info":"≴∭⊉15062⋆⋳=≴∭⊉-33231","layer":3},{"info":"≴∭⊉-33231⇀∌=≴∭⊉221","layer":2},{"info":"⊢≑≆≴∭⊉221=≴∭⊉-45","layer":1},{"info":"NaN↱≴∭⊉-45=≴∭⊉64033","layer":0}]}
+{"id":809,"expression_no_base_symbol":"(($2275$↳≱$3285$∪⫐$1288$⩷∴$2491$)⋅⇍(≯$1447$≎⪠$1162$))⇴∐(($5452$⨭⪣$7188$)≑≱⪘)⫞⩸⩒(↴⪽⋼$5526$⋝⋈⪟$2376$)","expression":"((≴∭⊉6430↳≱≴∭⊉12402∪⫐≴∭⊉3520⩷∴≴∭⊉10156)⋅⇍(≯≴∭⊉4135≎⪠≴∭⊉3250))⇴∐((≴∭⊉21616⨭⪣≴∭⊉26646)≑≱⪘)⫞⩸⩒(↴⪽⋼≴∭⊉22053⋝⋈⪟≴∭⊉6633)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":19391,"operation_count":12,"complexity_ratio":1615.9166666666667,"tree":{"type":"binary","operator":"⇴∐","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":2275,"base":7},"right_expr":{"type":"numeric_atoms","value":3285,"base":7}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1288,"base":7},"right_expr":{"type":"numeric_atoms","value":2491,"base":7}}},"right_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":1447,"base":7},"right_expr":{"type":"numeric_atoms","value":1162,"base":7}}}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"unary","operator":"≑≱⪘","unary_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":5452,"base":7},"right_expr":{"type":"numeric_atoms","value":7188,"base":7}}},"right_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":5526,"base":7},"right_expr":{"type":"numeric_atoms","value":2376,"base":7}}}}},"used_operators":["HnzytWxmAO","AdZkA7nFnk","7YooWSwCyH","JwTKLfZU96","9FxExcQeMw","keWfFq85dY","aNhz54LH3e","XGcMNugi78","tGSeddj7UK","kn8WO9XteQ","5TUYCnJO6w","2DDjHMKMc0"],"dependent_operators":["2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","rJVOvQCfKK","2DDjHMKMc0","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","rysDP5nf3Z","g55IO6H4Gj","JLbD19bQDL","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","W4YGzv6Whe","t8gj7n24qd"],"result":"≴∭⊉-224","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2275","layer":4},{"info":"number node, value=3285","layer":4},{"info":"compute binary expreesion, left_input=2275, right_input=3285, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"number node, value=1288","layer":4},{"info":"number node, value=2491","layer":4},{"info":"compute binary expreesion, left_input=1288, right_input=2491, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-2438","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-2438, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=0","layer":2},{"info":"number node, value=1447","layer":4},{"info":"number node, value=1162","layer":4},{"info":"compute binary expreesion, left_input=1447, right_input=1162, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"compute unary expreesion, input=19558, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":1},{"info":"number node, value=5452","layer":4},{"info":"number node, value=7188","layer":4},{"info":"compute binary expreesion, left_input=5452, right_input=7188, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=4173","layer":3},{"info":"compute unary expreesion, input=4173, op_id = tGSeddj7UK, unary_op_definition = 'a≑≱⪘ = { ((⊄⩳↩(6≧⫂∧a))⩍⋽⫝̸((a⊲⩕⊾a)≦↸(a⋆⋳))) , if (a↹⊜255)>=30 or (a↯⫤)>122 ; ((a⩷∴(a⪒⊣⊆a))⨽(a⊬⫿⊭)) , else }', output=104863","layer":2},{"info":"number node, value=5526","layer":4},{"info":"number node, value=2376","layer":4},{"info":"compute binary expreesion, left_input=5526, right_input=2376, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=5526","layer":3},{"info":"compute unary expreesion, input=5526, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=5526","layer":2},{"info":"compute binary expreesion, left_input=104863, right_input=5526, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=5526","layer":1},{"info":"compute binary expreesion, left_input=-22, right_input=5526, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=-116","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉6430↳≱≴∭⊉12402∪⫐≴∭⊉3520⩷∴≴∭⊉10156)⋅⇍(≯≴∭⊉4135≎⪠≴∭⊉3250))⇴∐((≴∭⊉21616⨭⪣≴∭⊉26646)≑≱⪘)⫞⩸⩒(↴⪽⋼≴∭⊉22053⋝⋈⪟≴∭⊉6633)=≴∭⊉-224","reverse_text":"≴∭⊉-224=((≴∭⊉6430↳≱≴∭⊉12402∪⫐≴∭⊉3520⩷∴≴∭⊉10156)⋅⇍(≯≴∭⊉4135≎⪠≴∭⊉3250))⇴∐((≴∭⊉21616⨭⪣≴∭⊉26646)≑≱⪘)⫞⩸⩒(↴⪽⋼≴∭⊉22053⋝⋈⪟≴∭⊉6633)","cot":[{"info":"≴∭⊉6430↳≱≴∭⊉12402=≴∭⊉0","layer":3},{"info":"≴∭⊉3520⩷∴≴∭⊉10156=≴∭⊉-10052","layer":3},{"info":"≴∭⊉0∪⫐≴∭⊉-10052=≴∭⊉0","layer":2},{"info":"≴∭⊉4135≎⪠≴∭⊉3250=≴∭⊉111010","layer":3},{"info":"≯≴∭⊉111010=≴∭⊉0","layer":2},{"info":"≴∭⊉0⋅⇍≴∭⊉0=≴∭⊉-31","layer":1},{"info":"≴∭⊉21616⨭⪣≴∭⊉26646=≴∭⊉15111","layer":3},{"info":"≴∭⊉15111≑≱⪘=≴∭⊉614503","layer":2},{"info":"≴∭⊉22053⋝⋈⪟≴∭⊉6633=≴∭⊉22053","layer":3},{"info":"↴⪽⋼≴∭⊉22053=≴∭⊉22053","layer":2},{"info":"≴∭⊉614503⫞⩸⩒≴∭⊉22053=≴∭⊉22053","layer":1},{"info":"≴∭��-31⇴∐≴∭⊉22053=≴∭⊉-224","layer":0}]}
+{"id":810,"expression_no_base_symbol":"($7565$⨒$1093$)⋥⋵⩄($4526$∖$2166$)∘((→⩰$1746$)⨹)⨫⇇↔(($1178$⋝⋈⪟$8835$)≴⪞⇿($5266$⋓$4363$)⨪↰⇹(↥≼⋛$1704$⪇≇⋚$1167$))","expression":"(≴∭⊉31025⨒≴∭⊉3121)⋥⋵⩄(≴∭⊉16124∖≴∭⊉6213)∘((→⩰≴∭⊉5043)⨹)⨫⇇↔((≴∭⊉3302⋝⋈⪟≴∭⊉34521)≴⪞⇿(≴∭⊉21232⋓≴∭⊉15502)⨪↰⇹(↥≼⋛≴∭⊉4653⪇≇⋚≴∭⊉3255))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":6742,"operation_count":13,"complexity_ratio":518.6153846153846,"tree":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":7565,"base":7},"right_expr":{"type":"numeric_atoms","value":1093,"base":7}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":4526,"base":7},"right_expr":{"type":"numeric_atoms","value":2166,"base":7}}},"right_expr":{"type":"unary","operator":"⨹","unary_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"numeric_atoms","value":1746,"base":7}}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1178,"base":7},"right_expr":{"type":"numeric_atoms","value":8835,"base":7}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":5266,"base":7},"right_expr":{"type":"numeric_atoms","value":4363,"base":7}}},"right_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":1704,"base":7},"right_expr":{"type":"numeric_atoms","value":1167,"base":7}}}}},"used_operators":["LXhwmt4mBO","Z5m6OM72h2","7t3wd0Fuz7","y75s1iXyHd","tXD093vOjl","UnCoSGIALn","o8Pngz0Tml","tmPS8pqC7x","lvlrscuwVU","2DDjHMKMc0","T2fj7uvVaJ","x5lMkHmzsq","3sJ7IOPOlU"],"dependent_operators":["d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","eH2TOUuTDT","rysDP5nf3Z","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","mp7IySMOzn","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","rJVOvQCfKK","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN"],"result":"≴∭⊉-1352","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=7565","layer":4},{"info":"number node, value=1093","layer":4},{"info":"compute binary expreesion, left_input=7565, right_input=1093, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-45018","layer":3},{"info":"number node, value=4526","layer":4},{"info":"number node, value=2166","layer":4},{"info":"compute binary expreesion, left_input=4526, right_input=2166, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-45018, right_input=0, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=nan","layer":2},{"info":"number node, value=1746","layer":4},{"info":"compute unary expreesion, input=1746, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = UnCoSGIALn, unary_op_definition = 'a⨹ = { (229⇷a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=nan","layer":1},{"info":"number node, value=1178","layer":4},{"info":"number node, value=8835","layer":4},{"info":"compute binary expreesion, left_input=1178, right_input=8835, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1178","layer":3},{"info":"number node, value=5266","layer":4},{"info":"number node, value=4363","layer":4},{"info":"compute binary expreesion, left_input=5266, right_input=4363, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1178, right_input=0, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=1626101","layer":2},{"info":"number node, value=1704","layer":4},{"info":"number node, value=1167","layer":4},{"info":"compute binary expreesion, left_input=1704, right_input=1167, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=33","layer":2},{"info":"compute binary expreesion, left_input=1626101, right_input=33, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉31025⨒≴∭⊉3121)⋥⋵⩄(≴∭⊉16124∖≴∭⊉6213)∘((→⩰≴∭⊉5043)⨹)⨫⇇↔((≴∭⊉3302⋝⋈⪟≴∭⊉34521)≴⪞⇿(≴∭⊉21232⋓≴∭⊉15502)⨪↰⇹(↥≼⋛≴∭⊉4653⪇≇⋚≴∭⊉3255))=≴∭⊉-1352","reverse_text":"≴∭⊉-1352=(≴∭⊉31025⨒≴∭⊉3121)⋥⋵⩄(≴∭⊉16124∖≴∭⊉6213)∘((→⩰≴∭⊉5043)⨹)⨫⇇↔((≴∭⊉3302⋝⋈⪟≴∭⊉34521)≴⪞⇿(≴∭⊉21232⋓≴∭⊉15502)⨪↰⇹(↥≼⋛≴∭⊉4653⪇≇⋚≴∭⊉3255))","cot":[{"info":"≴∭⊉31025⨒≴∭⊉3121=≴∭⊉-245151","layer":3},{"info":"≴∭⊉16124∖≴∭⊉6213=≴∭⊉0","layer":3},{"info":"≴∭⊉-245151⋥⋵⩄≴∭⊉0=NaN","layer":2},{"info":"→⩰≴∭⊉5043=NaN","layer":3},{"info":"NaN⨹=NaN","layer":2},{"info":"NaN∘NaN=NaN","layer":1},{"info":"≴∭⊉3302⋝⋈⪟≴∭⊉34521=≴∭⊉3302","layer":3},{"info":"≴∭⊉21232⋓≴∭⊉15502=≴∭⊉0","layer":3},{"info":"≴∭⊉3302≴⪞⇿≴∭⊉0=≴∭⊉16551551","layer":2},{"info":"≴∭⊉4653⪇≇⋚≴∭⊉3255=≴∭⊉0","layer":3},{"info":"↥≼⋛≴∭⊉0=≴∭⊉45","layer":2},{"info":"≴∭⊉16551551⨪↰⇹≴∭⊉45=NaN","layer":1},{"info":"NaN⨫⇇↔NaN=≴∭⊉-1352","layer":0}]}
+{"id":811,"expression_no_base_symbol":"((($1015$⫌⩉⩟$4190$)⨎⋸⪻)⋭≵($1480$≄⊠$1868$)⨂≜($1889$⇮⋭$4735$))⊱⇼⊻((≛($3156$⊉≛↸$1420$))⨎($1341$⊾⪯⋞$1148$)≃($2321$⫰⋱$1019$))","expression":"(((≴∭⊉2650⫌⩉⩟≴∭⊉15134)⨎⋸⪻)⋭≵(≴∭⊉4213≄⊠≴∭⊉5306)⨂≜(≴∭⊉5336⇮⋭≴∭⊉16543))⊱⇼⊻((≛(≴∭⊉12126⊉≛↸≴∭⊉4066))⨎(≴∭⊉3624⊾⪯⋞≴∭⊉3230)≃(≴∭⊉6524⫰⋱≴∭⊉2654))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":294086,"operation_count":13,"complexity_ratio":22622.0,"tree":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"unary","operator":"⨎⋸⪻","unary_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":1015,"base":7},"right_expr":{"type":"numeric_atoms","value":4190,"base":7}}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":1480,"base":7},"right_expr":{"type":"numeric_atoms","value":1868,"base":7}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":1889,"base":7},"right_expr":{"type":"numeric_atoms","value":4735,"base":7}}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":3156,"base":7},"right_expr":{"type":"numeric_atoms","value":1420,"base":7}}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":1341,"base":7},"right_expr":{"type":"numeric_atoms","value":1148,"base":7}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":2321,"base":7},"right_expr":{"type":"numeric_atoms","value":1019,"base":7}}}}},"used_operators":["FyVja0WsTP","jBncVCNhdl","Dk5vyLCiGd","XIIwhv8d0m","k1SHOSEABc","vXNesLlMH1","vkpjKywKVM","rJVOvQCfKK","W7eaUhjymW","DZ8iAZOCBD","YbVcJGFEVW","HK0tfVPux8","6o9Blt3TJ6"],"dependent_operators":["W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","IWmyXbctLI","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF"],"result":"≴∭⊉-2310","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1015","layer":4},{"info":"number node, value=4190","layer":4},{"info":"compute binary expreesion, left_input=1015, right_input=4190, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute unary expreesion, input=-50, op_id = Dk5vyLCiGd, unary_op_definition = 'a⨎⋸⪻ = { (a⪮%⊝26) }', output=216","layer":2},{"info":"number node, value=1480","layer":4},{"info":"number node, value=1868","layer":4},{"info":"compute binary expreesion, left_input=1480, right_input=1868, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=34556","layer":3},{"info":"number node, value=1889","layer":4},{"info":"number node, value=4735","layer":4},{"info":"compute binary expreesion, left_input=1889, right_input=4735, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute binary expreesion, left_input=34556, right_input=-473, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=216, right_input=nan, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=261","layer":1},{"info":"number node, value=3156","layer":4},{"info":"number node, value=1420","layer":4},{"info":"compute binary expreesion, left_input=3156, right_input=1420, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=6312","layer":3},{"info":"compute unary expreesion, input=6312, op_id = W7eaUhjymW, unary_op_definition = '≛a = { (((a+a)⊉≛↸(a⪠⩆⊳))⊭↱((a⪒a)⩚⊴⇥(a⋝⋈⪟a))) , if (a⫩⊇)>7 or a==273 ; (((a-a)⪒(a⪨≂a))⊉≛↸((a⨰a)⋝⋈⪟(a+a))) , else }', output=-10","layer":2},{"info":"number node, value=1341","layer":4},{"info":"number node, value=1148","layer":4},{"info":"compute binary expreesion, left_input=1341, right_input=1148, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=1870","layer":3},{"info":"number node, value=2321","layer":4},{"info":"number node, value=1019","layer":4},{"info":"compute binary expreesion, left_input=2321, right_input=1019, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-2288","layer":3},{"info":"compute binary expreesion, left_input=1870, right_input=-2288, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=9112","layer":2},{"info":"compute binary expreesion, left_input=-10, right_input=9112, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=9112","layer":1},{"info":"compute binary expreesion, left_input=261, right_input=9112, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=-840","layer":0}],"base":7,"result_base":7,"text":"(((≴∭⊉2650⫌⩉⩟≴∭⊉15134)⨎⋸⪻)⋭≵(≴∭⊉4213≄⊠≴∭⊉5306)⨂≜(≴∭⊉5336⇮⋭≴∭⊉16543))⊱⇼⊻((≛(≴∭⊉12126⊉≛↸≴∭⊉4066))⨎(≴∭⊉3624⊾⪯⋞≴∭⊉3230)≃(≴∭⊉6524⫰⋱≴∭⊉2654))=≴∭⊉-2310","reverse_text":"≴∭⊉-2310=(((≴∭⊉2650⫌⩉⩟≴∭⊉15134)⨎⋸⪻)⋭≵(≴∭⊉4213≄⊠≴∭⊉5306)⨂≜(≴∭⊉5336⇮⋭≴∭⊉16543))⊱⇼⊻((≛(≴∭⊉12126⊉≛↸≴∭⊉4066))⨎(≴∭⊉3624⊾⪯⋞≴∭⊉3230)≃(≴∭⊉6524⫰⋱≴∭⊉2654))","cot":[{"info":"≴∭⊉2650⫌⩉⩟≴∭⊉15134=≴∭⊉-101","layer":3},{"info":"≴∭⊉-101⨎⋸⪻=≴∭⊉426","layer":2},{"info":"≴∭⊉4213≄⊠≴∭⊉5306=≴∭⊉202514","layer":3},{"info":"≴∭⊉5336⇮⋭≴∭⊉16543=≴∭⊉-1244","layer":3},{"info":"≴∭⊉202514⨂≜≴∭⊉-1244=NaN","layer":2},{"info":"≴∭⊉426⋭≵NaN=≴∭⊉522","layer":1},{"info":"≴∭⊉12126⊉≛↸≴∭⊉4066=≴∭⊉24255","layer":3},{"info":"≛≴∭⊉24255=≴∭⊉-13","layer":2},{"info":"≴∭⊉3624⊾⪯⋞≴∭⊉3230=≴∭⊉5311","layer":3},{"info":"≴∭⊉6524⫰⋱≴∭⊉2654=≴∭⊉-6446","layer":3},{"info":"≴∭⊉5311≃≴∭⊉-6446=≴∭⊉35365","layer":2},{"info":"≴∭⊉-13⨎≴∭⊉35365=≴∭⊉35365","layer":1},{"info":"≴∭⊉522⊱⇼⊻≴∭⊉35365=≴∭⊉-2310","layer":0}]}
+{"id":812,"expression_no_base_symbol":"(⇖⫷⫕$2851$⪮%⊝$1991$⩇∃⫛$4025$∴$1586$)⪛⫼(($4935$⪘⫢$1344$)∼$1505$∛$1769$⋖∅⋲)","expression":"(⇖⫷⫕≴∭⊉11212⪮%⊝≴∭⊉5543⩇∃⫛≴∭⊉14510∴≴∭⊉4424)⪛⫼((≴∭⊉20250⪘⫢≴∭⊉3630)∼≴∭⊉4250∛≴∭⊉5105⋖∅⋲)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3971,"operation_count":9,"complexity_ratio":441.22222222222223,"tree":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2851,"base":7},"right_expr":{"type":"numeric_atoms","value":1991,"base":7}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":4025,"base":7},"right_expr":{"type":"numeric_atoms","value":1586,"base":7}}}},"right_expr":{"type":"unary","operator":"⋖∅⋲","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":4935,"base":7},"right_expr":{"type":"numeric_atoms","value":1344,"base":7}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":1505,"base":7},"right_expr":{"type":"numeric_atoms","value":1769,"base":7}}}}},"used_operators":["hyuBjUqXlG","UHmRx3INFg","1aApVXNlOP","IWmyXbctLI","hrf7POJlIJ","L95AwlJzhO","DyGG3AbaNP","oacrs7FA3X","w2537kitQq"],"dependent_operators":["HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","gx7XJ7hdpj","3nqY3DE9mg","XTarYq4gQB","y4ImoPnbV5","i8ToyICDmI","xNBdhnnwKq","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc"],"result":"≴∭⊉2552","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2851","layer":4},{"info":"number node, value=1991","layer":4},{"info":"compute binary expreesion, left_input=2851, right_input=1991, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=6018","layer":3},{"info":"number node, value=4025","layer":4},{"info":"number node, value=1586","layer":4},{"info":"compute binary expreesion, left_input=4025, right_input=1586, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=9698","layer":3},{"info":"compute binary expreesion, left_input=6018, right_input=9698, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=4153","layer":2},{"info":"compute unary expreesion, input=4153, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":1},{"info":"number node, value=4935","layer":4},{"info":"number node, value=1344","layer":4},{"info":"compute binary expreesion, left_input=4935, right_input=1344, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=9746","layer":3},{"info":"number node, value=1505","layer":4},{"info":"number node, value=1769","layer":4},{"info":"compute binary expreesion, left_input=1505, right_input=1769, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"compute binary expreesion, left_input=9746, right_input=-670, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = L95AwlJzhO, unary_op_definition = 'a⋖∅⋲ = { ((⪝⪂⫅431)⊍) , if (a∲⫓500)>7 ; ((a∽304)⫸⇳(a⊭∹↮)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=2822, right_input=0, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":0}],"base":7,"result_base":7,"text":"(⇖⫷⫕≴∭⊉11212⪮%⊝≴∭⊉5543⩇∃⫛≴∭⊉14510∴≴∭⊉4424)⪛⫼((≴∭⊉20250⪘⫢≴∭⊉3630)∼≴∭⊉4250∛≴∭⊉5105⋖∅⋲)=≴∭⊉2552","reverse_text":"≴∭⊉2552=(⇖⫷⫕≴∭⊉11212⪮%⊝≴∭⊉5543⩇∃⫛≴∭⊉14510∴≴∭⊉4424)⪛⫼((≴∭⊉20250⪘⫢≴∭⊉3630)∼≴∭⊉4250∛≴∭⊉5105⋖∅⋲)","cot":[{"info":"≴∭⊉11212⪮%⊝≴∭⊉5543=≴∭⊉23355","layer":3},{"info":"≴∭⊉14510∴≴∭⊉4424=≴∭⊉40163","layer":3},{"info":"≴∭⊉23355⩇∃⫛≴∭⊉40163=≴∭⊉15052","layer":2},{"info":"⇖⫷⫕≴∭⊉15052=≴∭⊉11141","layer":1},{"info":"≴∭⊉20250⪘⫢≴∭⊉3630=≴∭⊉40262","layer":3},{"info":"≴∭⊉4250∛≴∭⊉5105=≴∭⊉-1645","layer":3},{"info":"≴∭⊉40262∼≴∭⊉-1645=≴∭⊉0","layer":2},{"info":"≴∭⊉0⋖∅⋲=≴∭⊉0","layer":1},{"info":"≴∭⊉11141⪛⫼≴∭⊉0=≴∭⊉2552","layer":0}]}
+{"id":813,"expression_no_base_symbol":"⇾⩊⇾(($1080$↺$2993$)⪎↠($2222$⋛$1862$)→⨶⪴(($5834$⩏)⇮⋭$1994$∌$1889$))","expression":"⇾⩊⇾((≴∭⊉3102↺≴∭⊉11504)⪎↠(≴∭⊉6323⋛≴∭⊉5300)→⨶⪴((≴∭⊉23003⩏)⇮⋭≴∭⊉5546∌≴∭⊉5336))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":884,"operation_count":8,"complexity_ratio":110.5,"tree":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1080,"base":7},"right_expr":{"type":"numeric_atoms","value":2993,"base":7}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":2222,"base":7},"right_expr":{"type":"numeric_atoms","value":1862,"base":7}}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"unary","operator":"⩏","unary_expr":{"type":"numeric_atoms","value":5834,"base":7}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":1994,"base":7},"right_expr":{"type":"numeric_atoms","value":1889,"base":7}}}}},"used_operators":["bx9Z9DAK5y","bF6eod5Gvf","3tVxb0NHM4","7j4O788W3g","YbUVn0Rbpy","vkpjKywKVM","iA2gmKZ3Wj","8cLx32lpNA"],"dependent_operators":["W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","8w2t5hMYqp","9FxExcQeMw","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","z6LnFrNh4i","Tcnh7f0tEr","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd"],"result":"≴∭⊉-31644","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1080","layer":4},{"info":"number node, value=2993","layer":4},{"info":"compute binary expreesion, left_input=1080, right_input=2993, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2993","layer":3},{"info":"number node, value=2222","layer":4},{"info":"number node, value=1862","layer":4},{"info":"compute binary expreesion, left_input=2222, right_input=1862, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-112194","layer":3},{"info":"compute binary expreesion, left_input=2993, right_input=-112194, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":2},{"info":"number node, value=5834","layer":4},{"info":"compute unary expreesion, input=5834, op_id = iA2gmKZ3Wj, unary_op_definition = 'a⩏ = { ((a⋕⪉⪜272)≣⋋) }', output=0","layer":3},{"info":"number node, value=1994","layer":4},{"info":"number node, value=1889","layer":4},{"info":"compute binary expreesion, left_input=1994, right_input=1889, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-1889","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-1889, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=67, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=154","layer":1},{"info":"compute unary expreesion, input=154, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-7872","layer":0}],"base":7,"result_base":7,"text":"⇾⩊⇾((≴∭⊉3102↺≴∭⊉11504)⪎↠(≴∭⊉6323⋛≴∭⊉5300)→⨶⪴((≴��⊉23003⩏)⇮⋭≴∭⊉5546∌≴∭⊉5336))=≴∭⊉-31644","reverse_text":"≴∭⊉-31644=⇾⩊⇾((≴∭⊉3102↺≴∭⊉11504)⪎↠(≴∭⊉6323⋛≴∭⊉5300)→⨶⪴((≴∭⊉23003⩏)⇮⋭≴∭⊉5546∌≴∭⊉5336))","cot":[{"info":"≴∭⊉3102↺≴∭⊉11504=≴∭⊉11504","layer":3},{"info":"≴∭⊉6323⋛≴∭⊉5300=≴∭⊉-645045","layer":3},{"info":"≴∭⊉11504⪎↠≴∭⊉-645045=≴∭⊉316","layer":2},{"info":"≴∭⊉23003⩏=≴∭⊉0","layer":3},{"info":"≴∭⊉5546∌≴∭⊉5336=≴∭⊉-5336","layer":3},{"info":"≴∭⊉0⇮⋭≴∭⊉-5336=≴∭⊉124","layer":2},{"info":"≴∭⊉316→⨶⪴≴∭⊉124=≴∭⊉310","layer":1},{"info":"⇾⩊⇾≴∭⊉310=≴∭⊉-31644","layer":0}]}
+{"id":814,"expression_no_base_symbol":"⊤⊝($5128$⩇∃⫛$2083$≥⨤⩑(⊁⨺$1050$)⫡⨏($4499$⫸⊐$2877$)⩵∡$1672$∌↝$2429$)","expression":"⊤⊝(≴∭⊉20644⩇∃⫛≴∭⊉6034≥⨤⩑(⊁⨺≴∭⊉3030)⫡⨏(≴∭⊉16055⫸⊐≴∭⊉11250)⩵∡≴∭⊉4606∌↝≴∭⊉10040)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":92,"operation_count":8,"complexity_ratio":11.5,"tree":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":5128,"base":7},"right_expr":{"type":"numeric_atoms","value":2083,"base":7}},"right_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"numeric_atoms","value":1050,"base":7}}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":4499,"base":7},"right_expr":{"type":"numeric_atoms","value":2877,"base":7}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":1672,"base":7},"right_expr":{"type":"numeric_atoms","value":2429,"base":7}}}}},"used_operators":["rXAclfmB4M","QMFrweE19q","gJLn6v0xnP","1aApVXNlOP","PxiHyQbrIp","Y7wcNGrDQJ","mqXw5SEYmG","9Isq31Ruls"],"dependent_operators":["sdazOOVcIp","W4YGzv6Whe","t8gj7n24qd","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","NTOWxs364D","glklzrTFfD","tifHPKVTfV","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI"],"result":"≴∭⊉-446101","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5128","layer":4},{"info":"number node, value=2083","layer":4},{"info":"compute binary expreesion, left_input=5128, right_input=2083, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=-2572","layer":3},{"info":"number node, value=1050","layer":4},{"info":"compute unary expreesion, input=1050, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-2572, right_input=160, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":2},{"info":"number node, value=4499","layer":4},{"info":"number node, value=2877","layer":4},{"info":"compute binary expreesion, left_input=4499, right_input=2877, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=11383","layer":3},{"info":"number node, value=1672","layer":4},{"info":"number node, value=2429","layer":4},{"info":"compute binary expreesion, left_input=1672, right_input=2429, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=11383, right_input=0, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-22887","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=-22887, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=-38821","layer":1},{"info":"compute unary expreesion, input=-38821, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=-78940","layer":0}],"base":7,"result_base":7,"text":"⊤⊝(≴∭⊉20644⩇∃⫛≴∭⊉6034≥⨤⩑(⊁⨺≴∭⊉3030)⫡⨏(≴∭⊉16055⫸⊐≴∭⊉11250)⩵∡≴∭⊉4606∌↝≴∭⊉10040)=≴∭⊉-446101","reverse_text":"≴∭⊉-446101=⊤⊝(≴∭⊉20644⩇∃⫛≴∭⊉6034≥⨤⩑(⊁⨺≴∭⊉3030)⫡⨏(≴∭⊉16055⫸⊐≴∭⊉11250)⩵∡≴∭⊉4606∌↝≴∭⊉10040)","cot":[{"info":"≴∭⊉20644⩇∃⫛≴∭⊉6034=≴∭⊉-10333","layer":3},{"info":"⊁⨺≴∭⊉3030=≴∭⊉316","layer":3},{"info":"≴∭⊉-10333≥⨤⩑≴∭⊉316=≴∭⊉3412","layer":2},{"info":"≴∭⊉16055⫸⊐≴∭⊉11250=≴∭⊉45121","layer":3},{"info":"≴∭⊉4606∌↝≴∭⊉10040=≴∭⊉0","layer":3},{"info":"≴∭⊉45121⩵∡≴∭⊉0=≴∭⊉-123504","layer":2},{"info":"≴∭⊉3412⫡⨏≴∭⊉-123504=≴∭⊉-221116","layer":1},{"info":"⊤⊝≴∭⊉-221116=≴∭⊉-446101","layer":0}]}
+{"id":815,"expression_no_base_symbol":"(≻⋜($3730$⪛⫼$2573$-$2464$⇮⋭$5422$))∀⋜↑","expression":"(≻⋜(≴∭⊉13606⪛⫼≴∭⊉10334-≴∭⊉10120⇮⋭≴∭⊉21544))∀⋜↑","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":6662,"operation_count":5,"complexity_ratio":1332.4,"tree":{"type":"unary","operator":"∀⋜↑","unary_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":3730,"base":7},"right_expr":{"type":"numeric_atoms","value":2573,"base":7}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":2464,"base":7},"right_expr":{"type":"numeric_atoms","value":5422,"base":7}}}}},"used_operators":["KipPnG1M2J","3tj9sqzovi","rysDP5nf3Z","hyuBjUqXlG","vkpjKywKVM"],"dependent_operators":["eLAdDNolq6","23Mk6UjR3U","f6k1SAg4EE","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=3730","layer":4},{"info":"number node, value=2573","layer":4},{"info":"compute binary expreesion, left_input=3730, right_input=2573, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":3},{"info":"number node, value=2464","layer":4},{"info":"number node, value=5422","layer":4},{"info":"compute binary expreesion, left_input=2464, right_input=5422, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute binary expreesion, left_input=968, right_input=-473, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1441","layer":2},{"info":"compute unary expreesion, input=1441, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = KipPnG1M2J, unary_op_definition = 'a∀⋜↑ = { ((≤/a)⪒(a⋷a)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≻⋜(≴∭⊉13606⪛⫼≴∭⊉10334-≴∭⊉10120⇮⋭≴∭⊉21544))∀⋜↑=NaN","reverse_text":"NaN=(≻⋜(≴∭⊉13606⪛⫼≴∭⊉10334-≴∭⊉10120⇮⋭≴∭⊉21544))∀⋜↑","cot":[{"info":"≴∭⊉13606⪛⫼≴∭⊉10334=≴∭⊉2552","layer":3},{"info":"≴∭⊉10120⇮⋭≴∭⊉21544=≴∭⊉-1244","layer":3},{"info":"≴∭⊉2552-≴∭⊉-1244=≴∭⊉4126","layer":2},{"info":"≻⋜≴∭⊉4126=NaN","layer":1},{"info":"NaN∀⋜↑=NaN","layer":0}]}
+{"id":816,"expression_no_base_symbol":"(↩$4083$)≧⫂∧$4907$⪒⊣⊆$1878$⨔≚≋((⫡⇟⇯$3124$)+⇶⊼($4752$⫔⩽⩺$2155$))⪒(⩎⋉($1834$∓⋝$3421$⊝⪿⪼($1515$/$1554$)))","expression":"(↩≴∭⊉14622)≧⫂∧≴∭⊉20210⪒⊣⊆≴∭⊉5322⨔≚≋((⫡⇟⇯≴∭⊉12052)+⇶⊼(≴∭⊉16566⫔⩽⩺≴∭⊉6166))⪒(⩎⋉(≴∭⊉5230∓⋝≴∭⊉12655⊝⪿⪼(≴∭⊉4263/≴∭⊉4350)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":237,"operation_count":12,"complexity_ratio":19.75,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":4083,"base":7}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":4907,"base":7},"right_expr":{"type":"numeric_atoms","value":1878,"base":7}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"numeric_atoms","value":3124,"base":7}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":4752,"base":7},"right_expr":{"type":"numeric_atoms","value":2155,"base":7}}}},"right_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":1834,"base":7},"right_expr":{"type":"numeric_atoms","value":3421,"base":7}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1515,"base":7},"right_expr":{"type":"numeric_atoms","value":1554,"base":7}}}}},"used_operators":["f6k1SAg4EE","Z57zeUYC9z","Ph9nP6C5qx","jLgFTUHLKL","eRqsBgTDFp","TpPTUOHfaN","qWUSsah53b","i9eR4S00cU","FlXk3pOYe8","3Oe9XWJUTD","PoHhknlbAi","XhwjNDsVaA"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","sdazOOVcIp","W4YGzv6Whe","AHs5Up7iyr","DZ8iAZOCBD","P8v4zCKN1o","Tw270M8GLb","fu6greOZ01","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4083","layer":4},{"info":"compute unary expreesion, input=4083, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-29884","layer":3},{"info":"number node, value=4907","layer":4},{"info":"number node, value=1878","layer":4},{"info":"compute binary expreesion, left_input=4907, right_input=1878, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=9814","layer":3},{"info":"compute binary expreesion, left_input=-29884, right_input=9814, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=9341","layer":2},{"info":"number node, value=3124","layer":4},{"info":"compute unary expreesion, input=3124, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=7116","layer":3},{"info":"number node, value=4752","layer":4},{"info":"number node, value=2155","layer":4},{"info":"compute binary expreesion, left_input=4752, right_input=2155, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=7116, right_input=nan, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=9341, right_input=nan, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=nan","layer":1},{"info":"number node, value=1834","layer":4},{"info":"number node, value=3421","layer":4},{"info":"compute binary expreesion, left_input=1834, right_input=3421, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"number node, value=1515","layer":4},{"info":"number node, value=1554","layer":4},{"info":"compute binary expreesion, left_input=1515, right_input=1554, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=0, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=10715","layer":2},{"info":"compute unary expreesion, input=10715, op_id = FlXk3pOYe8, unary_op_definition = '⩎⋉a = { (((a/a)∲⫓(≛a))∴((a⩨a)⨳⩥⨓(⊄⩳↩a))) , if (a⩇∃⫛268)<=24 or a==244 or (↩⪖a)>=4 ; (((a⨔⇊a)∠↢(↸⊣a))≚⊃≕((≦∁a)⨐461)) , else }', output=1650","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1650, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(↩≴∭⊉14622)≧⫂∧≴∭⊉20210⪒⊣⊆≴∭⊉5322⨔≚≋((⫡⇟⇯≴∭⊉12052)+⇶⊼(≴∭⊉16566⫔⩽⩺≴∭⊉6166))⪒(⩎⋉(≴∭⊉5230∓⋝≴∭⊉12655⊝⪿⪼(≴∭⊉4263/≴∭⊉4350)))=NaN","reverse_text":"NaN=(↩≴∭⊉14622)≧⫂∧≴∭⊉20210⪒⊣⊆≴∭⊉5322⨔≚≋((⫡⇟⇯≴∭⊉12052)+⇶⊼(≴∭⊉16566⫔⩽⩺≴∭⊉6166))⪒(⩎⋉(≴∭⊉5230∓⋝≴∭⊉12655⊝⪿⪼(≴∭⊉4263/≴∭⊉4350)))","cot":[{"info":"↩≴∭⊉14622=≴∭⊉-153061","layer":3},{"info":"≴∭⊉20210⪒⊣⊆≴∭⊉5322=≴∭⊉40420","layer":3},{"info":"≴∭⊉-153061≧⫂∧≴∭⊉40420=≴∭⊉36143","layer":2},{"info":"⫡⇟⇯≴∭⊉12052=≴∭⊉26514","layer":3},{"info":"≴∭⊉16566⫔⩽⩺≴∭⊉6166=NaN","layer":3},{"info":"≴∭⊉26514+⇶⊼NaN=NaN","layer":2},{"info":"≴∭⊉36143⨔≚≋NaN=NaN","layer":1},{"info":"≴∭⊉5230∓⋝≴∭⊉12655=≴∭⊉124","layer":3},{"info":"≴∭⊉4263/≴∭⊉4350=≴∭⊉0","layer":3},{"info":"≴∭⊉124⊝⪿⪼≴∭⊉0=≴∭⊉43145","layer":2},{"info":"⩎⋉≴∭⊉43145=≴∭⊉4545","layer":1},{"info":"NaN⪒≴∭⊉4545=NaN","layer":0}]}
+{"id":817,"expression_no_base_symbol":"∂(∑⇻≧($3702$+$2629$))⇷($1066$↳≱$1836$⫃⨇$7404$∺≝⩲$1250$)","expression":"∂(∑⇻≧(≴∭⊉13536+≴∭⊉10444))⇷(≴∭⊉3052↳≱≴∭⊉5232⫃⨇≴∭⊉30405∺≝⩲≴∭⊉3434)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":12046,"operation_count":7,"complexity_ratio":1720.857142857143,"tree":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":3702,"base":7},"right_expr":{"type":"numeric_atoms","value":2629,"base":7}}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":1066,"base":7},"right_expr":{"type":"numeric_atoms","value":1836,"base":7}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":7404,"base":7},"right_expr":{"type":"numeric_atoms","value":1250,"base":7}}}}},"used_operators":["Uaa54Peajs","mp7IySMOzn","l1M9WJ3V7u","W4YGzv6Whe","09Ly4LVMIf","JwTKLfZU96","KPf6cnQVty"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3702","layer":4},{"info":"number node, value=2629","layer":4},{"info":"compute binary expreesion, left_input=3702, right_input=2629, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6331","layer":3},{"info":"compute unary expreesion, input=6331, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":2},{"info":"number node, value=1066","layer":4},{"info":"number node, value=1836","layer":4},{"info":"compute binary expreesion, left_input=1066, right_input=1836, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"number node, value=7404","layer":4},{"info":"number node, value=1250","layer":4},{"info":"compute binary expreesion, left_input=7404, right_input=1250, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=160, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-672","layer":2},{"info":"compute binary expreesion, left_input=-852, right_input=-672, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"∂(∑⇻≧(≴∭⊉13536+≴∭⊉10444))⇷(≴∭⊉3052↳≱≴∭⊉5232⫃⨇≴∭⊉30405∺≝⩲≴∭⊉3434)=NaN","reverse_text":"NaN=∂(∑⇻≧(≴∭⊉13536+≴∭⊉10444))⇷(≴∭⊉3052↳≱≴∭⊉5232⫃⨇≴∭⊉30405∺≝⩲≴∭⊉3434)","cot":[{"info":"≴∭⊉13536+≴∭⊉10444=≴∭⊉24313","layer":3},{"info":"∑⇻≧≴∭⊉24313=≴∭⊉-2325","layer":2},{"info":"≴∭⊉3052↳≱≴∭⊉5232=≴∭⊉0","layer":3},{"info":"≴∭⊉30405∺≝⩲≴∭⊉3434=≴∭⊉316","layer":3},{"info":"≴∭⊉0⫃⨇≴∭⊉316=≴∭⊉-1650","layer":2},{"info":"≴∭⊉-2325⇷≴∭⊉-1650=NaN","layer":1},{"info":"∂NaN=NaN","layer":0}]}
+{"id":818,"expression_no_base_symbol":"(⋣$2936$⫞⩸⩒$5643$)⫗⊷⫓((⊖∈$2594$)∺≝⩲($1058$⩼⇪↪$1140$))↓⨍⋜","expression":"(⋣≴∭⊉11363⫞⩸⩒≴∭⊉22311)⫗⊷⫓((⊖∈≴∭⊉10364)∺≝⩲(≴∭⊉3041⩼⇪↪≴∭⊉3216))↓⨍⋜","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":88069,"operation_count":7,"complexity_ratio":12581.285714285714,"tree":{"type":"unary","operator":"↓⨍⋜","unary_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":2936,"base":7},"right_expr":{"type":"numeric_atoms","value":5643,"base":7}}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"numeric_atoms","value":2594,"base":7}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":1058,"base":7},"right_expr":{"type":"numeric_atoms","value":1140,"base":7}}}}},"used_operators":["3DVzLFNsE9","zashukvMKz","zQWRhDnn8F","XGcMNugi78","KPf6cnQVty","YFxL8Sc2Zy","ocnLzx9CaJ"],"dependent_operators":["OKKcZfAt5B","zR4jO40bMj","XnXgA4xnOs","o20kRiQErp","7t3wd0Fuz7","Z5m6OM72h2","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q"],"result":"≴∭⊉25133","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2936","layer":4},{"info":"number node, value=5643","layer":4},{"info":"compute binary expreesion, left_input=2936, right_input=5643, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=5643","layer":3},{"info":"compute unary expreesion, input=5643, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-1658947","layer":2},{"info":"number node, value=2594","layer":4},{"info":"compute unary expreesion, input=2594, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=46286","layer":3},{"info":"number node, value=1058","layer":4},{"info":"number node, value=1140","layer":4},{"info":"compute binary expreesion, left_input=1058, right_input=1140, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-6647","layer":3},{"info":"compute binary expreesion, left_input=46286, right_input=-6647, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=-1658947, right_input=160, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":1},{"info":"compute unary expreesion, input=-134, op_id = 3DVzLFNsE9, unary_op_definition = 'a↓⨍⋜ = { (((a≝⊿a)⪶≀⋏(a∸))⨑≵⋬((a⋥⋵⩄a)∘(a⪶≀⋏a))) }', output=6590","layer":0}],"base":7,"result_base":7,"text":"(⋣≴∭⊉11363⫞⩸⩒≴∭⊉22311)⫗⊷⫓((⊖∈≴∭⊉10364)∺≝⩲(≴∭⊉3041⩼⇪↪≴∭⊉3216))↓⨍⋜=≴∭⊉25133","reverse_text":"≴∭⊉25133=(⋣≴∭⊉11363⫞⩸⩒≴∭⊉22311)⫗⊷⫓((⊖∈≴∭⊉10364)∺≝⩲(≴∭⊉3041⩼⇪↪≴∭⊉3216))↓⨍⋜","cot":[{"info":"≴∭⊉11363⫞⩸⩒≴∭⊉22311=≴∭⊉22311","layer":3},{"info":"⋣≴∭⊉22311=≴∭⊉-20046403","layer":2},{"info":"⊖∈≴∭⊉10364=≴∭⊉251642","layer":3},{"info":"≴∭⊉3041⩼⇪↪≴∭⊉3216=≴∭⊉-25244","layer":3},{"info":"≴∭⊉251642∺≝⩲≴∭⊉-25244=≴∭⊉316","layer":2},{"info":"≴∭⊉-20046403⫗⊷⫓≴∭⊉316=≴∭⊉-251","layer":1},{"info":"≴∭⊉-251↓⨍⋜=≴∭⊉25133","layer":0}]}
+{"id":819,"expression_no_base_symbol":"($1097$⪘⫢$1096$)⪭($3179$⪁$3570$)≄⊠$8453$∺≝⩲$4545$↢($3493$⋭≵$1762$)⫌⩹⨱","expression":"(≴∭⊉3125⪘⫢≴∭⊉3124)⪭(≴∭⊉12161⪁≴∭⊉13260)≄⊠≴∭⊉33434∺≝⩲≴∭⊉16152↢(≴∭⊉13120⋭≵≴∭⊉5065)⫌⩹⨱","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":178479906,"operation_count":8,"complexity_ratio":22309988.25,"tree":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1097,"base":7},"right_expr":{"type":"numeric_atoms","value":1096,"base":7}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":3179,"base":7},"right_expr":{"type":"numeric_atoms","value":3570,"base":7}}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":8453,"base":7},"right_expr":{"type":"numeric_atoms","value":4545,"base":7}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":3493,"base":7},"right_expr":{"type":"numeric_atoms","value":1762,"base":7}}}}},"used_operators":["EBcxylXtPf","vXNesLlMH1","j9kHMeSvPp","oacrs7FA3X","I7sXao9hZE","WR6HLWljOP","KPf6cnQVty","jBncVCNhdl"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","COABgblf1C","xUOZtlo3hN","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C"],"result":"≴∭⊉15555","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1097","layer":4},{"info":"number node, value=1096","layer":4},{"info":"compute binary expreesion, left_input=1097, right_input=1096, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2070","layer":3},{"info":"number node, value=3179","layer":4},{"info":"number node, value=3570","layer":4},{"info":"compute binary expreesion, left_input=3179, right_input=3570, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2070, right_input=nan, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=nan","layer":2},{"info":"number node, value=8453","layer":4},{"info":"number node, value=4545","layer":4},{"info":"compute binary expreesion, left_input=8453, right_input=4545, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"number node, value=3493","layer":4},{"info":"number node, value=1762","layer":4},{"info":"compute binary expreesion, left_input=3493, right_input=1762, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=67, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=-484","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-484, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":1},{"info":"compute unary expreesion, input=1500, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=4401","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉3125⪘⫢≴∭⊉3124)⪭(≴∭⊉12161⪁≴∭⊉13260)≄⊠≴∭⊉33434∺≝⩲≴∭⊉16152↢(≴∭⊉13120⋭≵≴∭⊉5065)⫌⩹⨱=≴∭⊉15555","reverse_text":"≴∭⊉15555=(≴∭⊉3125⪘⫢≴∭⊉3124)⪭(≴∭⊉12161⪁≴∭⊉13260)≄⊠≴∭⊉33434∺≝⩲≴∭⊉16152↢(≴∭⊉13120⋭≵≴∭⊉5065)⫌⩹⨱","cot":[{"info":"≴∭⊉3125⪘⫢≴∭⊉3124=≴∭⊉6015","layer":3},{"info":"≴∭⊉12161⪁≴∭⊉13260=NaN","layer":3},{"info":"≴∭⊉6015⪭NaN=NaN","layer":2},{"info":"≴∭⊉33434∺≝⩲≴∭⊉16152=≴∭⊉316","layer":3},{"info":"≴∭⊉13120⋭≵≴∭⊉5065=≴∭⊉124","layer":3},{"info":"≴∭⊉316↢≴∭⊉124=≴∭⊉-1261","layer":2},{"info":"NaN≄⊠≴∭⊉-1261=≴∭⊉4242","layer":1},{"info":"≴∭⊉4242⫌⩹⨱=≴∭⊉15555","layer":0}]}
+{"id":820,"expression_no_base_symbol":"(($2658$⇉⇉)↙($4616$-$1958$))+⪬∐($2366$⊹∫⫚$6172$∪⫐$9243$⨂≜$2964$)/(≸≮($3436$⩇∃⫛$2956$))⊴($3968$⨂≜$1046$∀⊥⇻)","expression":"((≴∭⊉10515⇉⇉)↙(≴∭⊉16313-≴∭⊉5465))+⪬∐(≴∭⊉6620⊹∫⫚≴∭⊉23665∪⫐≴∭⊉35643⨂≜≴∭⊉11433)/(≸≮(≴∭⊉13006⩇∃⫛≴∭⊉11422))⊴(≴∭⊉14366⨂≜≴∭⊉3023∀⊥⇻)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":13481,"operation_count":13,"complexity_ratio":1037.0,"tree":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⇉⇉","unary_expr":{"type":"numeric_atoms","value":2658,"base":7}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":4616,"base":7},"right_expr":{"type":"numeric_atoms","value":1958,"base":7}}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":2366,"base":7},"right_expr":{"type":"numeric_atoms","value":6172,"base":7}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":9243,"base":7},"right_expr":{"type":"numeric_atoms","value":2964,"base":7}}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":3436,"base":7},"right_expr":{"type":"numeric_atoms","value":2956,"base":7}}},"right_expr":{"type":"unary","operator":"∀⊥⇻","unary_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":3968,"base":7},"right_expr":{"type":"numeric_atoms","value":1046,"base":7}}}}},"used_operators":["XhwjNDsVaA","2GS7woTJqF","yyfyN0ffXY","diKm42VcIt","rysDP5nf3Z","7YooWSwCyH","uWAJUKEvyW","k1SHOSEABc","Nsiff2A1zJ","AljMvE3RRm","1aApVXNlOP","k4iM1060OG"],"dependent_operators":["rysDP5nf3Z","g55IO6H4Gj","D4vGDi5EA2","tmPS8pqC7x","DpFCA1CohY","RygbFNSyEJ","XPYlsWDdGa","k8jYdgA6NY","xUOZtlo3hN","AFVx7xoS7T","iuk5sVOGFA","86A5ENbKR9","rJVOvQCfKK","2DDjHMKMc0","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","dWAJyo7jo9","14qkJME0vr","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","QvoQhV0rrE","XhwjNDsVaA","3Oe9XWJUTD"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2658","layer":4},{"info":"compute unary expreesion, input=2658, op_id = diKm42VcIt, unary_op_definition = 'a⇉⇉ = { (⪸(⨞⊢(a≦↸a))) , if (a⪣⫩)!=30 ; (a%(⪲⇎(a⇌⫙⪟156))) , else }', output=-166000","layer":3},{"info":"number node, value=4616","layer":4},{"info":"number node, value=1958","layer":4},{"info":"compute binary expreesion, left_input=4616, right_input=1958, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2658","layer":3},{"info":"compute binary expreesion, left_input=-166000, right_input=2658, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-166000","layer":2},{"info":"number node, value=2366","layer":4},{"info":"number node, value=6172","layer":4},{"info":"compute binary expreesion, left_input=2366, right_input=6172, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-260","layer":3},{"info":"number node, value=9243","layer":4},{"info":"number node, value=2964","layer":4},{"info":"compute binary expreesion, left_input=9243, right_input=2964, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-260, right_input=nan, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=-260","layer":2},{"info":"compute binary expreesion, left_input=-166000, right_input=-260, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=498000","layer":1},{"info":"number node, value=3436","layer":4},{"info":"number node, value=2956","layer":4},{"info":"compute binary expreesion, left_input=3436, right_input=2956, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=-7","layer":3},{"info":"compute unary expreesion, input=-7, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=-290","layer":2},{"info":"number node, value=3968","layer":4},{"info":"number node, value=1046","layer":4},{"info":"compute binary expreesion, left_input=3968, right_input=1046, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = k4iM1060OG, unary_op_definition = 'a∀⊥⇻ = { ((a∠⫱a)/(a⊝⪿⪼a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-290, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=498000, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉10515⇉⇉)↙(≴∭⊉16313-≴∭⊉5465))+⪬∐(≴∭⊉6620⊹∫⫚≴∭⊉23665∪⫐≴∭⊉35643⨂≜≴∭⊉11433)/(≸≮(≴∭⊉13006⩇∃⫛≴∭⊉11422))⊴(≴∭⊉14366⨂≜≴∭⊉3023∀⊥⇻)=NaN","reverse_text":"NaN=((≴∭⊉10515⇉⇉)↙(≴∭⊉16313-≴∭⊉5465))+⪬∐(≴∭⊉6620⊹∫⫚≴∭⊉23665∪⫐≴∭⊉35643⨂≜≴∭⊉11433)/(≸≮(≴∭⊉13006⩇∃⫛≴∭⊉11422))⊴(≴∭⊉14366⨂≜≴∭⊉3023∀⊥⇻)","cot":[{"info":"≴∭⊉10515⇉⇉=≴∭⊉-1260652","layer":3},{"info":"≴∭⊉16313-≴∭⊉5465=≴∭⊉10515","layer":3},{"info":"≴∭⊉-1260652↙≴∭⊉10515=≴∭⊉-1260652","layer":2},{"info":"≴∭⊉6620⊹∫⫚≴∭⊉23665=≴∭⊉-521","layer":3},{"info":"≴∭⊉35643⨂≜≴∭⊉11433=NaN","layer":3},{"info":"≴∭⊉-521∪⫐NaN=≴∭⊉-521","layer":2},{"info":"≴∭⊉-1260652+⪬∐≴∭⊉-521=≴∭⊉4142616","layer":1},{"info":"≴∭⊉13006⩇∃⫛≴∭⊉11422=≴∭⊉-10","layer":3},{"info":"≸≮≴∭⊉-10=≴∭⊉-563","layer":2},{"info":"≴∭⊉14366⨂≜≴∭⊉3023=NaN","layer":3},{"info":"NaN∀⊥⇻=NaN","layer":2},{"info":"≴∭⊉-563⊴NaN=NaN","layer":1},{"info":"≴∭⊉4142616/NaN=NaN","layer":0}]}
+{"id":821,"expression_no_base_symbol":"($4181$⩍⋽⫝̸$1094$∠↢$1811$→⨶⪴$3510$)⨜⨶(($2184$∙⊟$2780$)≚⊃≕$2574$⨥⫆$1747$)⪍↜⋙($5885$∌↝$3596$⪨≂$2333$⫒⫫$1044$)⨐(⇵⪽($1392$⇤$1895$))","expression":"(≴∭⊉15122⩍⋽⫝̸≴∭⊉3122∠↢≴∭⊉5165→⨶⪴≴∭⊉13143)⨜⨶((≴∭⊉6240∙⊟≴∭⊉11051)≚⊃≕≴∭⊉10335⨥⫆≴∭⊉5044)⪍↜⋙(≴∭⊉23105∌↝≴∭⊉13325⪨≂≴∭⊉6542⫒⫫≴∭⊉3021)⨐(⇵⪽(≴∭⊉4026⇤≴∭⊉5345))","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":2394,"operation_count":14,"complexity_ratio":171.0,"tree":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":4181,"base":7},"right_expr":{"type":"numeric_atoms","value":1094,"base":7}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":1811,"base":7},"right_expr":{"type":"numeric_atoms","value":3510,"base":7}}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":2184,"base":7},"right_expr":{"type":"numeric_atoms","value":2780,"base":7}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":2574,"base":7},"right_expr":{"type":"numeric_atoms","value":1747,"base":7}}}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":5885,"base":7},"right_expr":{"type":"numeric_atoms","value":3596,"base":7}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":2333,"base":7},"right_expr":{"type":"numeric_atoms","value":1044,"base":7}}},"right_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":1392,"base":7},"right_expr":{"type":"numeric_atoms","value":1895,"base":7}}}}},"used_operators":["L05ObWFQCd","HiPekx5b7W","KbjG8mgYpV","BiWNJpBvwn","bF6eod5Gvf","Bmrmz2XGnR","SxTAKzQCrw","yXekIHxTD4","Noe24qw2ks","sdazOOVcIp","9Isq31Ruls","6Ko8hGgeMq","ZGCBLdVRRX","YSKBFp38Pu"],"dependent_operators":["rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","Ph9nP6C5qx","xUOZtlo3hN","8w2t5hMYqp","9FxExcQeMw","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","U7g4x0WXJJ","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4181","layer":4},{"info":"number node, value=1094","layer":4},{"info":"compute binary expreesion, left_input=4181, right_input=1094, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=148","layer":3},{"info":"number node, value=1811","layer":4},{"info":"number node, value=3510","layer":4},{"info":"compute binary expreesion, left_input=1811, right_input=3510, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-10530","layer":3},{"info":"compute binary expreesion, left_input=148, right_input=-10530, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=147910","layer":2},{"info":"number node, value=2184","layer":4},{"info":"number node, value=2780","layer":4},{"info":"compute binary expreesion, left_input=2184, right_input=2780, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=38238","layer":3},{"info":"number node, value=2574","layer":4},{"info":"number node, value=1747","layer":4},{"info":"compute binary expreesion, left_input=2574, right_input=1747, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=3370","layer":3},{"info":"compute binary expreesion, left_input=38238, right_input=3370, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=147910, right_input=67, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=1480285","layer":1},{"info":"number node, value=5885","layer":4},{"info":"number node, value=3596","layer":4},{"info":"compute binary expreesion, left_input=5885, right_input=3596, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"number node, value=2333","layer":4},{"info":"number node, value=1044","layer":4},{"info":"compute binary expreesion, left_input=2333, right_input=1044, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":2},{"info":"number node, value=1392","layer":4},{"info":"number node, value=1895","layer":4},{"info":"compute binary expreesion, left_input=1392, right_input=1895, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-13587","layer":3},{"info":"compute unary expreesion, input=-13587, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1480285, right_input=nan, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉15122⩍⋽⫝̸≴∭⊉3122∠↢≴∭⊉5165→⨶⪴≴∭⊉13143)⨜⨶((≴∭⊉6240∙⊟≴∭⊉11051)≚⊃≕≴∭⊉10335⨥⫆≴∭⊉5044)⪍↜⋙(≴∭⊉23105∌↝≴∭⊉13325⪨≂≴∭⊉6542⫒⫫≴∭⊉3021)⨐(⇵⪽(≴∭⊉4026⇤≴∭⊉5345))=NaN","reverse_text":"NaN=(≴∭⊉15122⩍⋽⫝̸≴∭⊉3122∠↢≴∭⊉5165→⨶⪴≴∭⊉13143)⨜⨶((≴∭⊉6240∙⊟≴∭⊉11051)≚⊃≕≴∭⊉10335⨥⫆≴∭⊉5044)⪍↜⋙(≴∭⊉23105∌↝≴∭⊉13325⪨≂≴∭⊉6542⫒⫫≴∭⊉3021)⨐(⇵⪽(≴∭⊉4026⇤≴∭⊉5345))","cot":[{"info":"≴∭⊉15122⩍⋽⫝̸≴∭⊉3122=≴∭⊉301","layer":3},{"info":"≴∭⊉5165→⨶⪴≴∭⊉13143=≴∭⊉-42462","layer":3},{"info":"≴∭⊉301∠↢≴∭⊉-42462=≴∭⊉1154140","layer":2},{"info":"≴∭⊉6240∙⊟≴∭⊉11051=≴∭⊉216324","layer":3},{"info":"≴∭⊉10335⨥⫆≴∭⊉5044=≴∭⊉12553","layer":3},{"info":"≴∭⊉216324≚⊃≕≴∭⊉12553=≴∭⊉124","layer":2},{"info":"≴∭⊉1154140⨜⨶≴∭⊉124=≴∭⊉15403462","layer":1},{"info":"≴∭⊉23105∌↝≴∭⊉13325=≴∭⊉0","layer":3},{"info":"≴∭⊉6542⫒⫫≴∭⊉3021=NaN","layer":3},{"info":"≴∭⊉0⪨≂NaN=NaN","layer":2},{"info":"≴∭⊉4026⇤≴∭⊉5345=≴∭⊉-54420","layer":3},{"info":"⇵⪽≴∭⊉-54420=NaN","layer":2},{"info":"NaN⨐NaN=NaN","layer":1},{"info":"≴∭⊉15403462⪍↜⋙NaN=NaN","layer":0}]}
+{"id":822,"expression_no_base_symbol":"$5903$⪚$2625$⨎(⨵$1824$)⨭⪣($5949$⨵⪆$1789$)⨓($2676$⪔$4024$)-(⪫⨮⊛((⩦⩻⨪$6287$)⊝⪿⪼($3113$/$3328$)))","expression":"≴∭⊉23132⪚≴∭⊉10440⨎(⨵≴∭⊉5214)⨭⪣(≴∭⊉23226⨵⪆≴∭⊉5134)⨓(≴∭⊉10542⪔≴∭⊉14506)-(⪫⨮⊛((⩦⩻⨪≴∭⊉24221)⊝⪿⪼(≴∭⊉12035/≴∭⊉12463)))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":27836784,"operation_count":12,"complexity_ratio":2319732.0,"tree":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":5903,"base":7},"right_expr":{"type":"numeric_atoms","value":2625,"base":7}},"right_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"numeric_atoms","value":1824,"base":7}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":5949,"base":7},"right_expr":{"type":"numeric_atoms","value":1789,"base":7}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":2676,"base":7},"right_expr":{"type":"numeric_atoms","value":4024,"base":7}}}},"right_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":6287,"base":7}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":3113,"base":7},"right_expr":{"type":"numeric_atoms","value":3328,"base":7}}}}},"used_operators":["rysDP5nf3Z","kn8WO9XteQ","rJVOvQCfKK","HrjLwUk87U","Tl3Y52tvF8","3ViojmjbAp","2DQ55sFlQl","GjBEYRfMaF","w5FWba1tyO","3Oe9XWJUTD","2td37pGCOC","XhwjNDsVaA"],"dependent_operators":["vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5903","layer":4},{"info":"number node, value=2625","layer":4},{"info":"compute binary expreesion, left_input=5903, right_input=2625, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=6200","layer":3},{"info":"number node, value=1824","layer":4},{"info":"compute unary expreesion, input=1824, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=-15801","layer":3},{"info":"compute binary expreesion, left_input=6200, right_input=-15801, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-15801","layer":2},{"info":"number node, value=5949","layer":4},{"info":"number node, value=1789","layer":4},{"info":"compute binary expreesion, left_input=5949, right_input=1789, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=2676","layer":4},{"info":"number node, value=4024","layer":4},{"info":"compute binary expreesion, left_input=2676, right_input=4024, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=450, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-453","layer":2},{"info":"compute binary expreesion, left_input=-15801, right_input=-453, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=15006","layer":1},{"info":"number node, value=6287","layer":4},{"info":"compute unary expreesion, input=6287, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=6287","layer":3},{"info":"number node, value=3113","layer":4},{"info":"number node, value=3328","layer":4},{"info":"compute binary expreesion, left_input=3113, right_input=3328, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=6287, right_input=0, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=91575","layer":2},{"info":"compute unary expreesion, input=91575, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=15006, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉23132⪚≴∭⊉10440⨎(⨵≴∭⊉5214)��⪣(≴∭⊉23226⨵⪆≴∭⊉5134)⨓(≴∭⊉10542⪔≴∭⊉14506)-(⪫⨮⊛((⩦⩻⨪≴∭⊉24221)⊝⪿⪼(≴∭⊉12035/≴∭⊉12463)))=NaN","reverse_text":"NaN=≴∭⊉23132⪚≴∭⊉10440⨎(⨵≴∭⊉5214)⨭⪣(≴∭⊉23226⨵⪆≴∭⊉5134)⨓(≴∭⊉10542⪔≴∭⊉14506)-(⪫⨮⊛((⩦⩻⨪≴∭⊉24221)⊝⪿⪼(≴∭⊉12035/≴∭⊉12463)))","cot":[{"info":"≴∭⊉23132⪚≴∭⊉10440=≴∭⊉24035","layer":3},{"info":"⨵≴∭⊉5214=≴∭⊉-64032","layer":3},{"info":"≴∭⊉24035⨎≴∭⊉-64032=≴∭⊉-64032","layer":2},{"info":"≴∭⊉23226⨵⪆≴∭⊉5134=≴∭⊉316","layer":3},{"info":"≴∭⊉10542⪔≴∭⊉14506=≴∭⊉1212","layer":3},{"info":"≴∭⊉316⨓≴∭⊉1212=≴∭⊉-1215","layer":2},{"info":"≴∭⊉-64032⨭⪣≴∭⊉-1215=≴∭⊉61515","layer":1},{"info":"⩦⩻⨪≴∭⊉24221=≴∭⊉24221","layer":3},{"info":"≴∭⊉12035/≴∭⊉12463=≴∭⊉0","layer":3},{"info":"≴∭⊉24221⊝⪿⪼≴∭⊉0=≴∭⊉530661","layer":2},{"info":"⪫⨮⊛≴∭⊉530661=NaN","layer":1},{"info":"≴∭⊉61515-NaN=NaN","layer":0}]}
+{"id":823,"expression_no_base_symbol":"((($6779$⊨$2084$)⇴(⨈⪑$1791$))⨟⋌⩍($5274$⫑)⫁⪎$1568$⪟⇏$1331$)↢(($1374$⪔$1431$)⩘$3453$⇤$8112$⫚↹⊑(≘(↥≼⋛$7729$)))","expression":"(((≴∭⊉25523⊨≴∭⊉6035)⇴(⨈⪑≴∭⊉5136))⨟⋌⩍(≴∭⊉21243⫑)⫁⪎≴∭⊉4400⪟⇏≴∭⊉3611)↢((≴∭⊉4002⪔≴∭⊉4113)⩘≴∭⊉13032⇤≴∭⊉32436⫚↹⊑(≘(↥≼⋛≴∭⊉31351)))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":2136,"operation_count":14,"complexity_ratio":152.57142857142858,"tree":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":6779,"base":7},"right_expr":{"type":"numeric_atoms","value":2084,"base":7}},"right_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"numeric_atoms","value":1791,"base":7}}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"unary","operator":"⫑","unary_expr":{"type":"numeric_atoms","value":5274,"base":7}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":1568,"base":7},"right_expr":{"type":"numeric_atoms","value":1331,"base":7}}}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":1374,"base":7},"right_expr":{"type":"numeric_atoms","value":1431,"base":7}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":3453,"base":7},"right_expr":{"type":"numeric_atoms","value":8112,"base":7}}},"right_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"numeric_atoms","value":7729,"base":7}}}}},"used_operators":["WR6HLWljOP","rGHVDoGpnC","4JB6nKBMSY","vg4gO5BX6G","mp94q5OcYM","xRrnTEsQ6j","CgIo77xlM2","GODebY97qR","dfKe02y8D2","cHh1gJQ2o6","GjBEYRfMaF","YSKBFp38Pu","tcjXMdvYtA","x5lMkHmzsq"],"dependent_operators":["eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","Tcnh7f0tEr","sdazOOVcIp","NTOWxs364D","COABgblf1C","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","cWQsF5MvuD","zR4jO40bMj","SUmda5xLS4","DZ8iAZOCBD","PxpmPgHHJV","ocnLzx9CaJ","Z5m6OM72h2","mqXw5SEYmG","8cLx32lpNA","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6779","layer":4},{"info":"number node, value=2084","layer":4},{"info":"compute binary expreesion, left_input=6779, right_input=2084, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=28147","layer":3},{"info":"number node, value=1791","layer":4},{"info":"compute unary expreesion, input=1791, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=28147, right_input=868, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴���a)) }', output=170232","layer":2},{"info":"number node, value=5274","layer":4},{"info":"compute unary expreesion, input=5274, op_id = CgIo77xlM2, unary_op_definition = 'a⫑ = { (((a⊉≛↸377)⩼⇪↪(a∘a))⪄(841⪶≀⋏a)) , if (a⫸⊐7)<631 ; ((↓⇌(a∌a))⨌↪) , else }', output=3979","layer":3},{"info":"number node, value=1568","layer":4},{"info":"number node, value=1331","layer":4},{"info":"compute binary expreesion, left_input=1568, right_input=1331, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=3979, right_input=-1, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=3980","layer":2},{"info":"compute binary expreesion, left_input=170232, right_input=3980, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"number node, value=1374","layer":4},{"info":"number node, value=1431","layer":4},{"info":"compute binary expreesion, left_input=1374, right_input=1431, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"number node, value=3453","layer":4},{"info":"number node, value=8112","layer":4},{"info":"compute binary expreesion, left_input=3453, right_input=8112, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-54977","layer":3},{"info":"compute binary expreesion, left_input=450, right_input=-54977, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":2},{"info":"number node, value=7729","layer":4},{"info":"compute unary expreesion, input=7729, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-113","layer":3},{"info":"compute unary expreesion, input=-113, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=67790","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=67790, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-447, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(((≴∭⊉25523⊨≴∭⊉6035)⇴(⨈⪑≴∭⊉5136))⨟⋌⩍(≴∭⊉21243⫑)⫁⪎≴∭⊉4400⪟⇏≴∭⊉3611)↢((≴∭⊉4002⪔≴∭⊉4113)⩘≴∭⊉13032⇤≴∭⊉32436⫚↹⊑(≘(↥≼⋛≴∭⊉31351)))=NaN","reverse_text":"NaN=(((≴∭⊉25523⊨≴∭⊉6035)⇴(⨈⪑≴∭⊉5136))⨟⋌⩍(≴∭⊉21243⫑)⫁⪎≴∭⊉4400⪟⇏≴∭⊉3611)↢((≴∭⊉4002⪔≴∭⊉4113)⩘≴∭⊉13032⇤≴∭⊉32436⫚↹⊑(≘(↥≼⋛≴∭⊉31351)))","cot":[{"info":"≴∭⊉25523⊨≴∭⊉6035=≴∭⊉145030","layer":3},{"info":"⨈⪑≴∭⊉5136=≴∭⊉2350","layer":3},{"info":"≴∭⊉145030⇴≴∭⊉2350=≴∭⊉1306206","layer":2},{"info":"≴∭⊉21243⫑=≴∭⊉14413","layer":3},{"info":"≴∭⊉4400⪟⇏≴∭⊉3611=≴∭⊉-1","layer":3},{"info":"≴∭⊉14413⫁⪎≴∭⊉-1=≴∭⊉14414","layer":2},{"info":"≴∭⊉1306206⨟⋌⩍≴∭⊉14414=NaN","layer":1},{"info":"≴∭⊉4002⪔≴∭⊉4113=≴∭⊉1212","layer":3},{"info":"≴∭⊉13032⇤≴∭⊉32436=≴∭⊉-316166","layer":3},{"info":"≴∭⊉1212⩘≴∭⊉-316166=≴∭⊉316","layer":2},{"info":"↥≼⋛≴∭⊉31351=≴∭⊉-221","layer":3},{"info":"≘≴∭⊉-221=≴∭⊉401432","layer":2},{"info":"≴∭⊉316⫚↹⊑≴∭⊉401432=≴∭⊉-1206","layer":1},{"info":"NaN↢≴∭⊉-1206=NaN","layer":0}]}
+{"id":824,"expression_no_base_symbol":"(↪⫪⫘((⫎≠⋺$7142$)⨼⩣($6952$⇷$1198$)))⫌⩉⩟($1912$⫗⊷⫓$4742$⪎↠(-$6981$))∥⊢⊲(($1192$≓∲$6348$)≬⇓($1270$⇯⋐))","expression":"(↪⫪⫘((⫎≠⋺≴∭⊉26552)⨼⩣(≴∭⊉26161⇷≴∭⊉3331)))⫌⩉⩟(≴∭⊉5401⫗⊷⫓≴∭⊉16553⪎↠(-≴∭⊉26232))∥⊢⊲((≴∭⊉3322≓∲≴∭⊉24336)≬⇓(≴∭⊉3463⇯⋐))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":100424,"operation_count":12,"complexity_ratio":8368.666666666666,"tree":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"numeric_atoms","value":7142,"base":7}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":6952,"base":7},"right_expr":{"type":"numeric_atoms","value":1198,"base":7}}}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":1912,"base":7},"right_expr":{"type":"numeric_atoms","value":4742,"base":7}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":6981,"base":7}}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":1192,"base":7},"right_expr":{"type":"numeric_atoms","value":6348,"base":7}},"right_expr":{"type":"unary","operator":"⇯⋐","unary_expr":{"type":"numeric_atoms","value":1270,"base":7}}}}},"used_operators":["XIIwhv8d0m","9dWsAM3GFt","JxwMv5le6e","LYeZOJ0nQG","mp7IySMOzn","v1UQAVDJRr","3tVxb0NHM4","zashukvMKz","t8gj7n24qd","jWTQ2TZYIH","s1XTVnmDOJ","LkLIoiE525"],"dependent_operators":["B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","EBcxylXtPf","rGHVDoGpnC","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q"],"result":"≴∭⊉-101","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=7142","layer":4},{"info":"compute unary expreesion, input=7142, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=0","layer":3},{"info":"number node, value=6952","layer":4},{"info":"number node, value=1198","layer":4},{"info":"compute binary expreesion, left_input=6952, right_input=1198, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2396","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2396, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=nan","layer":1},{"info":"number node, value=1912","layer":4},{"info":"number node, value=4742","layer":4},{"info":"compute binary expreesion, left_input=1912, right_input=4742, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"number node, value=6981","layer":4},{"info":"compute unary expreesion, input=6981, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-6981","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=-6981, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=734","layer":2},{"info":"number node, value=1192","layer":4},{"info":"number node, value=6348","layer":4},{"info":"compute binary expreesion, left_input=1192, right_input=6348, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=12703","layer":3},{"info":"number node, value=1270","layer":4},{"info":"compute unary expreesion, input=1270, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=4688","layer":3},{"info":"compute binary expreesion, left_input=12703, right_input=4688, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":2},{"info":"compute binary expreesion, left_input=734, right_input=-22, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":0}],"base":7,"result_base":7,"text":"(↪⫪⫘((⫎≠⋺≴∭⊉26552)⨼⩣(≴∭⊉26161⇷≴∭⊉3331)))⫌⩉⩟(≴∭⊉5401⫗⊷⫓≴∭⊉16553⪎↠(-≴∭⊉26232))∥⊢⊲((≴∭⊉3322≓∲≴∭⊉24336)≬⇓(≴∭⊉3463⇯⋐))=≴∭⊉-101","reverse_text":"≴∭⊉-101=(↪⫪⫘((⫎≠⋺≴∭⊉26552)⨼⩣(≴∭⊉26161⇷≴∭⊉3331)))⫌���⩟(≴∭⊉5401⫗⊷⫓≴∭⊉16553⪎↠(-≴∭⊉26232))∥⊢⊲((≴∭⊉3322≓∲≴∭⊉24336)≬⇓(≴∭⊉3463⇯⋐))","cot":[{"info":"⫎≠⋺≴∭⊉26552=≴∭⊉0","layer":3},{"info":"≴∭⊉26161⇷≴∭⊉3331=≴∭⊉6662","layer":3},{"info":"≴∭⊉0⨼⩣≴∭⊉6662=NaN","layer":2},{"info":"↪⫪⫘NaN=NaN","layer":1},{"info":"≴∭⊉5401⫗⊷⫓≴∭⊉16553=≴∭⊉-251","layer":3},{"info":"-≴∭⊉26232=≴∭⊉-26232","layer":3},{"info":"≴∭⊉-251⪎↠≴∭⊉-26232=≴∭⊉2066","layer":2},{"info":"≴∭⊉3322≓∲≴∭⊉24336=≴∭⊉52015","layer":3},{"info":"≴∭⊉3463⇯⋐=≴∭⊉16445","layer":3},{"info":"≴∭⊉52015≬⇓≴∭⊉16445=≴∭⊉-31","layer":2},{"info":"≴∭⊉2066∥⊢⊲≴∭⊉-31=≴∭⊉0","layer":1},{"info":"NaN⫌⩉⩟≴∭⊉0=≴∭⊉-101","layer":0}]}
+{"id":825,"expression_no_base_symbol":"((⇋↷($1689$⇼⇔∾$7049$))≒∊((⇜$8131$)⋷$6116$⪒$5407$))⨚($4361$⇡⇂$2125$↡⊰⫅$2789$⫉⨲⊜$1761$)≁(⊿(⨣⨃⇪$2132$))","expression":"((⇋↷(≴∭⊉4632⇼⇔∾≴∭⊉26360))≒∊((⇜≴∭⊉32464)⋷≴∭⊉23555⪒≴∭⊉21523))⨚(≴∭⊉15500⇡⇂≴∭⊉6124↡⊰⫅≴∭⊉11063⫉⨲⊜≴∭⊉5064)≁(⊿(⨣⨃⇪≴∭⊉6134))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":12572,"operation_count":13,"complexity_ratio":967.0769230769231,"tree":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1689,"base":7},"right_expr":{"type":"numeric_atoms","value":7049,"base":7}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"numeric_atoms","value":8131,"base":7}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":6116,"base":7},"right_expr":{"type":"numeric_atoms","value":5407,"base":7}}}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":4361,"base":7},"right_expr":{"type":"numeric_atoms","value":2125,"base":7}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":2789,"base":7},"right_expr":{"type":"numeric_atoms","value":1761,"base":7}}},"right_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"numeric_atoms","value":2132,"base":7}}}}},"used_operators":["nREPSIbpBE","5KTvxBwnZo","SWo3A1KBJH","tifHPKVTfV","23Mk6UjR3U","lFBm8KRb8F","f6k1SAg4EE","8N2wDY1A35","VCtxkLNOzz","UMwdvZNt44","WhqkvtTD3t","DO4fhlbJSI","AcOhelriW5"],"dependent_operators":["BjRHVeLaeN","12rbrZMWeM","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","eewbuw0ToL","zVYPLywUTj","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1689","layer":4},{"info":"number node, value=7049","layer":4},{"info":"compute binary expreesion, left_input=1689, right_input=7049, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=5360","layer":3},{"info":"compute unary expreesion, input=5360, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=42880","layer":2},{"info":"number node, value=8131","layer":4},{"info":"compute unary expreesion, input=8131, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-65456","layer":3},{"info":"number node, value=6116","layer":4},{"info":"number node, value=5407","layer":4},{"info":"compute binary expreesion, left_input=6116, right_input=5407, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-11523","layer":3},{"info":"compute binary expreesion, left_input=-65456, right_input=-11523, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=130912","layer":2},{"info":"compute binary expreesion, left_input=42880, right_input=130912, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-42396","layer":1},{"info":"number node, value=4361","layer":4},{"info":"number node, value=2125","layer":4},{"info":"compute binary expreesion, left_input=4361, right_input=2125, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"number node, value=2789","layer":4},{"info":"number node, value=1761","layer":4},{"info":"compute binary expreesion, left_input=2789, right_input=1761, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=0","layer":2},{"info":"number node, value=2132","layer":4},{"info":"compute unary expreesion, input=2132, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":3},{"info":"compute unary expreesion, input=1405, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-6358","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-6358, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-42396, right_input=nan, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((⇋↷(≴∭⊉4632⇼⇔∾≴∭⊉26360))≒∊((⇜≴∭⊉32464)⋷≴∭⊉23555⪒≴∭⊉21523))⨚(≴∭⊉15500⇡⇂≴∭⊉6124↡⊰⫅≴∭⊉11063⫉⨲⊜≴∭⊉5064)≁(⊿(⨣⨃⇪≴∭⊉6134))=NaN","reverse_text":"NaN=((⇋↷(≴∭⊉4632⇼⇔∾≴∭⊉26360))≒∊((⇜≴∭⊉32464)⋷≴∭⊉23555⪒≴∭⊉21523))⨚(≴∭⊉15500⇡⇂≴∭⊉6124↡⊰⫅≴∭⊉11063⫉⨲⊜≴∭⊉5064)≁(⊿(⨣⨃⇪≴∭⊉6134))","cot":[{"info":"≴∭⊉4632⇼⇔∾≴∭⊉26360=≴∭⊉21425","layer":3},{"info":"⇋↷≴∭⊉21425=≴∭⊉236005","layer":2},{"info":"⇜≴∭⊉32464=≴∭⊉-361556","layer":3},{"info":"≴∭⊉23555⪒≴∭⊉21523=≴∭⊉-45411","layer":3},{"info":"≴∭⊉-361556⋷≴∭⊉-45411=≴∭⊉1053445","layer":2},{"info":"≴∭⊉236005≒∊≴∭⊉1053445=≴∭⊉-234414","layer":1},{"info":"≴∭⊉15500⇡⇂≴∭⊉6124=NaN","layer":3},{"info":"≴∭⊉11063⫉⨲⊜≴∭⊉5064=≴∭⊉0","layer":3},{"info":"NaN↡⊰⫅≴∭⊉0=≴∭⊉0","layer":2},{"info":"⨣⨃⇪≴∭⊉6134=≴∭⊉4045","layer":3},{"info":"⊿≴∭⊉4045=≴∭⊉-24352","layer":2},{"info":"≴∭⊉0≁≴∭⊉-24352=NaN","layer":1},{"info":"≴∭⊉-234414⨚NaN=NaN","layer":0}]}
+{"id":826,"expression_no_base_symbol":"($1616$/$1217$)→⨶⪴($3978$∷$1812$)⩧⪆(⇾⩊⇾($2711$⩱))⋳⪒(⨰⫟⨤$3111$)∣($7533$⨵⪆$5559$)≄⊠($2186$⋅⇍$2616$⊜)","expression":"(≴∭⊉4466/≴∭⊉3356)→⨶⪴(≴∭⊉14412∷≴∭⊉5166)⩧⪆(⇾⩊⇾(≴∭⊉10622⩱))⋳⪒(⨰⫟⨤≴∭⊉12033)∣(≴∭⊉30651⨵⪆≴∭⊉22131)≄⊠(≴∭⊉6242⋅⇍≴∭⊉10425⊜)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":11731,"operation_count":13,"complexity_ratio":902.3846153846154,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1616,"base":7},"right_expr":{"type":"numeric_atoms","value":1217,"base":7}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":3978,"base":7},"right_expr":{"type":"numeric_atoms","value":1812,"base":7}}},"right_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"unary","operator":"⩱","unary_expr":{"type":"numeric_atoms","value":2711,"base":7}}}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":3111,"base":7}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":7533,"base":7},"right_expr":{"type":"numeric_atoms","value":5559,"base":7}}},"right_expr":{"type":"unary","operator":"⊜","unary_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":2186,"base":7},"right_expr":{"type":"numeric_atoms","value":2616,"base":7}}}}},"used_operators":["12rbrZMWeM","Ikt5ks8PT7","bF6eod5Gvf","XhwjNDsVaA","D3AQDKkPcf","bx9Z9DAK5y","uyq1hVkAcj","vXNesLlMH1","PPChnnnBFF","Tw270M8GLb","2DQ55sFlQl","Eev2Q7dYIw","AdZkA7nFnk"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","eewbuw0ToL","t8gj7n24qd","8w2t5hMYqp","9FxExcQeMw","rysDP5nf3Z","9FxExcQeMw","NTOWxs364D","7j4O788W3g","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","DpFCA1CohY","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","COABgblf1C","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","t8gj7n24qd","g55IO6H4Gj","D4vGDi5EA2","P8v4zCKN1o","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6"],"result":"≴∭⊉-2464304","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1616","layer":4},{"info":"number node, value=1217","layer":4},{"info":"compute binary expreesion, left_input=1616, right_input=1217, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"number node, value=3978","layer":4},{"info":"number node, value=1812","layer":4},{"info":"compute binary expreesion, left_input=3978, right_input=1812, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=1812","layer":3},{"info":"compute binary expreesion, left_input=1, right_input=1812, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-5436","layer":2},{"info":"number node, value=2711","layer":4},{"info":"compute unary expreesion, input=2711, op_id = uyq1hVkAcj, unary_op_definition = 'a⩱ = { ((⋗⩬⋾(a⊭↱a))↺((a⨸⪁a)⪒(a⨸⪁125))) }', output=-16516","layer":3},{"info":"compute unary expreesion, input=-16516, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=142158","layer":2},{"info":"compute binary expreesion, left_input=-5436, right_input=142158, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-142158","layer":1},{"info":"number node, value=3111","layer":4},{"info":"compute unary expreesion, input=3111, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=7533","layer":4},{"info":"number node, value=5559","layer":4},{"info":"compute binary expreesion, left_input=7533, right_input=5559, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=nan","layer":2},{"info":"number node, value=2186","layer":4},{"info":"number node, value=2616","layer":4},{"info":"compute binary expreesion, left_input=2186, right_input=2616, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"compute unary expreesion, input=-22, op_id = Eev2Q7dYIw, unary_op_definition = 'a⊜ = { ((a≦≮≮)⨸⪁(∥⊫a)) }', output=1824","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1824, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=33852","layer":1},{"info":"compute binary expreesion, left_input=-142158, right_input=33852, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-318455","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉4466/≴∭⊉3356)→⨶⪴(≴∭⊉14412∷≴∭⊉5166)⩧⪆(⇾⩊⇾(≴∭⊉10622⩱))⋳⪒(⨰⫟⨤≴∭⊉12033)∣(≴∭⊉30651⨵⪆≴∭⊉22131)≄⊠(≴∭⊉6242⋅⇍≴∭⊉10425⊜)=≴∭⊉-2464304","reverse_text":"≴∭⊉-2464304=(≴∭⊉4466/≴∭⊉3356)→⨶⪴(≴∭⊉14412∷≴∭⊉5166)⩧⪆(⇾⩊⇾(≴∭⊉10622⩱))⋳⪒(⨰⫟⨤≴∭⊉12033)∣(≴∭⊉30651⨵⪆≴∭⊉22131)≄⊠(≴∭⊉6242⋅⇍≴∭⊉10425⊜)","cot":[{"info":"≴∭⊉4466/≴∭⊉3356=≴∭⊉1","layer":3},{"info":"≴∭⊉14412∷≴∭⊉5166=≴∭⊉5166","layer":3},{"info":"≴∭⊉1→⨶⪴≴∭⊉5166=≴∭⊉-21564","layer":2},{"info":"≴∭⊉10622⩱=≴∭⊉-66103","layer":3},{"info":"⇾⩊⇾≴∭⊉-66103=≴∭⊉1131312","layer":2},{"info":"≴∭⊉-21564⩧⪆≴∭⊉1131312=≴∭⊉-1131312","layer":1},{"info":"⨰⫟⨤≴∭⊉12033=NaN","layer":3},{"info":"≴∭⊉30651⨵⪆≴∭⊉22131=≴∭⊉316","layer":3},{"info":"NaN∣≴∭⊉316=NaN","layer":2},{"info":"≴∭⊉6242⋅⇍≴∭⊉10425=≴∭⊉-31","layer":3},{"info":"≴∭⊉-31⊜=≴∭⊉5214","layer":2},{"info":"NaN≄⊠≴∭⊉5214=≴∭⊉200460","layer":1},{"info":"≴∭⊉-1131312⋳⪒≴∭⊉200460=≴∭⊉-2464304","layer":0}]}
+{"id":827,"expression_no_base_symbol":"(((⩷⨜⫀$1006$)≓∲($3128$∖$3608$))⨟⋌⩍(⨮↦↱$1441$)⪢($1948$∸))⪚(∤↝($1898$⫔⩽⩺$1595$))⨂≜(($1333$⫌⩉⩟$3766$)∀⊥⇻)","expression":"(((⩷⨜⫀≴∭⊉2635)≓∲(≴∭⊉12056∖≴∭⊉13343))⨟⋌⩍(⨮↦↱≴∭⊉4126)⪢(≴∭⊉5452∸))⪚(∤↝(≴∭⊉5351⫔⩽⩺≴∭⊉4436))⨂≜((≴∭⊉3613⫌⩉⩟≴∭⊉13660)∀⊥⇻)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":759808,"operation_count":13,"complexity_ratio":58446.769230769234,"tree":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"numeric_atoms","value":1006,"base":7}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":3128,"base":7},"right_expr":{"type":"numeric_atoms","value":3608,"base":7}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"numeric_atoms","value":1441,"base":7}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":1948,"base":7}}}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":1898,"base":7},"right_expr":{"type":"numeric_atoms","value":1595,"base":7}}},"right_expr":{"type":"unary","operator":"∀⊥⇻","unary_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":1333,"base":7},"right_expr":{"type":"numeric_atoms","value":3766,"base":7}}}}},"used_operators":["HrjLwUk87U","rGHVDoGpnC","s1XTVnmDOJ","CDi0ktkjQ4","tXD093vOjl","dWAJyo7jo9","sYcpBQ0cFf","o20kRiQErp","k1SHOSEABc","3UMq87Qwqg","i9eR4S00cU","k4iM1060OG","XIIwhv8d0m"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","Tcnh7f0tEr","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","ruOEQAzv1W","nhYeJWJD5X","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","k8jYdgA6NY","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","tmPS8pqC7x","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","Tw270M8GLb","fu6greOZ01","QvoQhV0rrE","XhwjNDsVaA","3Oe9XWJUTD","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1006","layer":4},{"info":"compute unary expreesion, input=1006, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-733","layer":3},{"info":"number node, value=3128","layer":4},{"info":"number node, value=3608","layer":4},{"info":"compute binary expreesion, left_input=3128, right_input=3608, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-733, right_input=0, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=67","layer":2},{"info":"number node, value=1441","layer":4},{"info":"compute unary expreesion, input=1441, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-2687499","layer":3},{"info":"number node, value=1948","layer":4},{"info":"compute unary expreesion, input=1948, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute binary expreesion, left_input=-2687499, right_input=177, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"number node, value=1898","layer":4},{"info":"number node, value=1595","layer":4},{"info":"compute binary expreesion, left_input=1898, right_input=1595, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 3UMq87Qwqg, unary_op_definition = '∤↝a = { a , if ((a⊬⨰244)<=56 or (⫇a)>308 or (a⨐673)<=60) ; (((↩⪖a)⩼⇪↪(57∝206))↺(↩(⊲⪭a))) , else }', output=nan","layer":2},{"info":"number node, value=1333","layer":4},{"info":"number node, value=3766","layer":4},{"info":"compute binary expreesion, left_input=1333, right_input=3766, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute unary expreesion, input=-50, op_id = k4iM1060OG, unary_op_definition = 'a∀⊥⇻ = { ((a∠⫱a)/(a⊝⪿⪼a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(((⩷⨜⫀≴∭⊉2635)≓∲(≴∭⊉12056∖≴∭⊉13343))⨟⋌⩍(⨮↦↱≴∭⊉4126)⪢(≴∭⊉5452∸))⪚(∤↝(≴∭⊉5351⫔⩽⩺≴∭⊉4436))⨂≜((≴∭⊉3613⫌⩉⩟≴∭⊉13660)∀⊥⇻)=NaN","reverse_text":"NaN=(((⩷⨜⫀≴∭⊉2635)≓∲(≴∭⊉12056∖≴∭⊉13343))⨟⋌⩍(⨮↦↱≴∭⊉4126)⪢(≴∭⊉5452∸))⪚(∤↝(≴∭⊉5351⫔⩽⩺≴∭⊉4436))⨂≜((≴∭⊉3613⫌⩉⩟≴∭⊉13660)∀⊥⇻)","cot":[{"info":"⩷⨜⫀≴∭⊉2635=≴∭⊉-2065","layer":3},{"info":"≴∭⊉12056∖≴∭⊉13343=≴∭⊉0","layer":3},{"info":"≴∭⊉-2065≓∲≴∭⊉0=≴∭⊉124","layer":2},{"info":"⨮↦↱≴∭⊉4126=≴∭⊉-31562163","layer":3},{"info":"≴∭⊉5452∸=≴∭⊉342","layer":3},{"info":"≴∭⊉-31562163⪢≴∭⊉342=NaN","layer":2},{"info":"≴∭⊉124⨟⋌⩍NaN=NaN","layer":1},{"info":"≴∭⊉5351⫔⩽⩺≴∭⊉4436=NaN","layer":3},{"info":"∤↝NaN=NaN","layer":2},{"info":"≴∭⊉3613⫌⩉⩟≴∭⊉13660=≴∭⊉-101","layer":3},{"info":"≴∭⊉-101∀⊥⇻=≴∭⊉0","layer":2},{"info":"NaN⨂≜≴∭⊉0=NaN","layer":1},{"info":"NaN⪚NaN=NaN","layer":0}]}
+{"id":828,"expression_no_base_symbol":"⨞⊢(($2473$∇⊂⋱$4246$)⨼⩣(⪨⨬$4398$)⩁)","expression":"⨞⊢((≴∭⊉10132∇⊂⋱≴∭⊉15244)⨼⩣(⪨⨬≴∭⊉15552)⩁)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":2002,"operation_count":5,"complexity_ratio":400.4,"tree":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"unary","operator":"⩁","unary_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":2473,"base":7},"right_expr":{"type":"numeric_atoms","value":4246,"base":7}},"right_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"numeric_atoms","value":4398,"base":7}}}}},"used_operators":["xUOZtlo3hN","5GqDbVmqXU","JxwMv5le6e","nhYeJWJD5X","5obUd6DV38"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","7j4O788W3g","jLgFTUHLKL","8cLx32lpNA","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","T2fj7uvVaJ","nlCqmYiOvY"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=2473","layer":4},{"info":"number node, value=4246","layer":4},{"info":"compute binary expreesion, left_input=2473, right_input=4246, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=4400","layer":3},{"info":"number node, value=4398","layer":4},{"info":"compute unary expreesion, input=4398, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":3},{"info":"compute binary expreesion, left_input=4400, right_input=-526, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 5GqDbVmqXU, unary_op_definition = 'a⩁ = { ((↩a)∌(a↺a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"⨞⊢((≴∭⊉10132∇⊂⋱≴∭⊉15244)⨼⩣(⪨⨬≴∭⊉15552)⩁)=NaN","reverse_text":"NaN=⨞⊢((≴∭⊉10132∇⊂⋱≴∭⊉15244)⨼⩣(⪨⨬≴∭⊉15552)⩁)","cot":[{"info":"≴∭⊉10132∇⊂⋱≴∭⊉15244=≴∭⊉15554","layer":3},{"info":"⪨⨬≴∭⊉15552=≴∭⊉-1351","layer":3},{"info":"≴∭⊉15554⨼⩣≴∭⊉-1351=NaN","layer":2},{"info":"NaN⩁=NaN","layer":1},{"info":"⨞⊢NaN=NaN","layer":0}]}
+{"id":829,"expression_no_base_symbol":"($3589$⨼⩣$1323$⪨⊡(≔$7535$))⨐((⪁⇼$1067$)⩚⊴⇥$4447$⪝$1703$)≎⊠⪸(($5334$⨑≵⋬$2496$)⊢($3201$≓∲$2572$)∲⫓$5807$⩒⫫$4716$⋝⋈⪟$6471$⇻⋧≁$1485$)","expression":"(≴∭⊉13315⨼⩣≴∭⊉3600⪨⊡(≔≴∭⊉30653))⨐((⪁⇼≴∭⊉3053)⩚⊴⇥≴∭⊉15652⪝≴∭⊉4652)≎⊠⪸((≴∭⊉21360⨑≵⋬≴∭⊉10164)⊢(≴∭⊉12222≓∲≴∭⊉10333)∲⫓≴∭⊉22634⩒⫫≴∭⊉16515⋝⋈⪟≴∭⊉24603⇻⋧≁≴∭⊉4221)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":7753,"operation_count":15,"complexity_ratio":516.8666666666667,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":3589,"base":7},"right_expr":{"type":"numeric_atoms","value":1323,"base":7}},"right_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"numeric_atoms","value":7535,"base":7}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"numeric_atoms","value":1067,"base":7}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":4447,"base":7},"right_expr":{"type":"numeric_atoms","value":1703,"base":7}}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":5334,"base":7},"right_expr":{"type":"numeric_atoms","value":2496,"base":7}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":3201,"base":7},"right_expr":{"type":"numeric_atoms","value":2572,"base":7}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":5807,"base":7},"right_expr":{"type":"numeric_atoms","value":4716,"base":7}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":6471,"base":7},"right_expr":{"type":"numeric_atoms","value":1485,"base":7}}}}},"used_operators":["bJkvcejdHO","Noe24qw2ks","kuIXHzHcAH","JxwMv5le6e","8FLs4eVsLt","NTOWxs364D","ZNVVrZ94lY","wicAB68Tmb","i8ToyICDmI","5twsqlHp2o","XnXgA4xnOs","s1XTVnmDOJ","2DDjHMKMc0","KFSx94NKJn","jCPkEVoL5K"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe"],"result":"≴∭⊉13530255110","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3589","layer":4},{"info":"number node, value=1323","layer":4},{"info":"compute binary expreesion, left_input=3589, right_input=1323, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"number node, value=7535","layer":4},{"info":"compute unary expreesion, input=7535, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-209686","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-209686, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=839533","layer":2},{"info":"number node, value=1067","layer":4},{"info":"compute unary expreesion, input=1067, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":3},{"info":"number node, value=4447","layer":4},{"info":"number node, value=1703","layer":4},{"info":"compute binary expreesion, left_input=4447, right_input=1703, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-11375","layer":3},{"info":"compute binary expreesion, left_input=422, right_input=-11375, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=10832","layer":2},{"info":"compute binary expreesion, left_input=839533, right_input=10832, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-1679066","layer":1},{"info":"number node, value=5334","layer":4},{"info":"number node, value=2496","layer":4},{"info":"compute binary expreesion, left_input=5334, right_input=2496, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=10577","layer":3},{"info":"number node, value=3201","layer":4},{"info":"number node, value=2572","layer":4},{"info":"compute binary expreesion, left_input=3201, right_input=2572, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=32793","layer":3},{"info":"compute binary expreesion, left_input=10577, right_input=32793, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-21398","layer":2},{"info":"number node, value=5807","layer":4},{"info":"number node, value=4716","layer":4},{"info":"compute binary expreesion, left_input=5807, right_input=4716, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=5505","layer":3},{"info":"number node, value=6471","layer":4},{"info":"number node, value=1485","layer":4},{"info":"compute binary expreesion, left_input=6471, right_input=1485, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=5505, right_input=-447, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=5505","layer":2},{"info":"compute binary expreesion, left_input=-21398, right_input=5505, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-1679066, right_input=0, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=434878094","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉13315⨼⩣≴∭⊉3600⪨⊡(≔≴∭⊉30653))⨐((⪁⇼≴∭⊉3053)⩚⊴⇥≴∭⊉15652⪝≴∭⊉4652)≎⊠⪸((≴∭⊉21360⨑≵⋬≴∭⊉10164)⊢(≴∭⊉12222≓∲≴∭⊉10333)∲⫓≴∭⊉22634⩒⫫≴∭⊉16515⋝⋈⪟≴∭⊉24603⇻⋧≁≴∭⊉4221)=≴∭⊉13530255110","reverse_text":"≴∭⊉13530255110=(≴∭⊉13315⨼⩣≴∭⊉3600⪨⊡(≔≴∭⊉30653))⨐((⪁⇼≴∭⊉3053)⩚⊴⇥≴∭⊉15652⪝≴∭⊉4652)≎⊠⪸((≴∭⊉21360⨑≵⋬≴∭⊉10164)⊢(≴∭⊉12222≓∲≴∭⊉10333)∲⫓≴∭⊉22634⩒⫫≴∭⊉16515⋝⋈⪟≴∭⊉24603⇻⋧≁≴∭⊉4221)","cot":[{"info":"≴∭⊉13315⨼⩣≴∭⊉3600=NaN","layer":3},{"info":"≔≴∭⊉30653=≴∭⊉-1532221","layer":3},{"info":"NaN⪨⊡≴∭⊉-1532221=≴∭⊉10064422","layer":2},{"info":"⪁⇼≴∭⊉3053=≴∭⊉1142","layer":3},{"info":"≴∭⊉15652⪝≴∭⊉4652=≴∭⊉-45110","layer":3},{"info":"≴∭⊉1142⩚⊴⇥≴∭⊉-45110=≴∭⊉43403","layer":2},{"info":"≴∭⊉10064422⨐≴∭⊉43403=≴∭⊉-20162144","layer":1},{"info":"≴∭⊉21360⨑≵⋬≴∭⊉10164=≴∭⊉42560","layer":3},{"info":"≴∭⊉12222≓∲≴∭⊉10333=≴∭⊉164415","layer":3},{"info":"≴∭⊉42560⊢≴∭⊉164415=≴∭⊉-116246","layer":2},{"info":"≴∭⊉22634⩒⫫≴∭⊉16515=≴∭⊉22023","layer":3},{"info":"≴∭⊉24603⇻⋧≁≴∭⊉4221=≴∭⊉-1206","layer":3},{"info":"≴∭⊉22023⋝⋈⪟≴∭⊉-1206=≴∭⊉22023","layer":2},{"info":"≴∭⊉-116246∲⫓≴∭⊉22023=≴∭⊉0","layer":1},{"info":"≴∭⊉-20162144≎⊠⪸≴∭⊉0=≴∭⊉13530255110","layer":0}]}
+{"id":830,"expression_no_base_symbol":"((∤$3567$)⪕($1359$⇴∐$2003$))⊲⩕⊾($4021$⨚⇆$4579$⨽⪊≇)∌↝(($4389$≀⫉$2777$)≹⇙⪍(⇜$1426$)⩷∴($8194$⇴$2851$)⫁⪎$2806$⫘$2763$)","expression":"((∤≴∭⊉13254)⪕(≴∭⊉3651⇴∐≴∭⊉5561))⊲⩕⊾(≴∭⊉14503⨚⇆≴∭⊉16231⨽⪊≇)∌↝((≴∭⊉15540≀⫉≴∭⊉11045)≹⇙⪍(⇜≴∭⊉4105)⩷∴(≴∭⊉32614⇴≴∭⊉11212)⫁⪎≴∭⊉11116⫘≴∭⊉11025)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":31805,"operation_count":14,"complexity_ratio":2271.785714285714,"tree":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"numeric_atoms","value":3567,"base":7}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":1359,"base":7},"right_expr":{"type":"numeric_atoms","value":2003,"base":7}}},"right_expr":{"type":"unary","operator":"⨽⪊≇","unary_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":4021,"base":7},"right_expr":{"type":"numeric_atoms","value":4579,"base":7}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":4389,"base":7},"right_expr":{"type":"numeric_atoms","value":2777,"base":7}},"right_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"numeric_atoms","value":1426,"base":7}}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":8194,"base":7},"right_expr":{"type":"numeric_atoms","value":2851,"base":7}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":2806,"base":7},"right_expr":{"type":"numeric_atoms","value":2763,"base":7}}}}},"used_operators":["9Isq31Ruls","DmTXOeWf9t","umQnsF7QlU","k2HlF1dBQh","HnzytWxmAO","nlCqmYiOvY","lwHaAYXP2r","9FxExcQeMw","AHs5Up7iyr","oZj3VtZNQx","lFBm8KRb8F","xRrnTEsQ6j","4JB6nKBMSY","48vC8HMD2b"],"dependent_operators":["DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","W4YGzv6Whe","sdazOOVcIp","XIabStNQrY","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","rysDP5nf3Z","dWAJyo7jo9","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","sdazOOVcIp","NTOWxs364D","COABgblf1C","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3567","layer":4},{"info":"compute unary expreesion, input=3567, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":3},{"info":"number node, value=1359","layer":4},{"info":"number node, value=2003","layer":4},{"info":"compute binary expreesion, left_input=1359, right_input=2003, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=9, right_input=nan, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=935","layer":2},{"info":"number node, value=4021","layer":4},{"info":"number node, value=4579","layer":4},{"info":"compute binary expreesion, left_input=4021, right_input=4579, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = nlCqmYiOvY, unary_op_definition = 'a⨽⪊≇ = { ((a⇋≉)⪨≂(a+216)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=935, right_input=nan, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=nan","layer":1},{"info":"number node, value=4389","layer":4},{"info":"number node, value=2777","layer":4},{"info":"compute binary expreesion, left_input=4389, right_input=2777, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"number node, value=1426","layer":4},{"info":"compute unary expreesion, input=1426, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-11816","layer":3},{"info":"compute binary expreesion, left_input=2822, right_input=-11816, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=8194","layer":4},{"info":"number node, value=2851","layer":4},{"info":"compute binary expreesion, left_input=8194, right_input=2851, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=54480","layer":3},{"info":"number node, value=2806","layer":4},{"info":"number node, value=2763","layer":4},{"info":"compute binary expreesion, left_input=2806, right_input=2763, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=3304261","layer":3},{"info":"compute binary expreesion, left_input=54480, right_input=3304261, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-3249781","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-3249781, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((∤≴∭⊉13254)⪕(≴∭⊉3651⇴∐≴∭⊉5561))⊲⩕⊾(≴∭⊉14503⨚⇆≴∭⊉16231⨽⪊≇)∌↝((≴∭⊉15540≀⫉≴∭⊉11045)≹⇙⪍(⇜≴∭⊉4105)⩷∴(≴∭⊉32614⇴≴∭⊉11212)⫁⪎≴∭⊉11116⫘≴∭⊉11025)=NaN","reverse_text":"NaN=((∤≴∭⊉13254)⪕(≴∭⊉3651⇴∐≴∭⊉5561))⊲⩕⊾(≴∭⊉14503⨚⇆≴∭⊉16231⨽⪊≇)∌↝((≴∭⊉15540≀⫉≴∭⊉11045)≹⇙⪍(⇜≴∭⊉4105)⩷∴(≴∭⊉32614⇴≴∭⊉11212)⫁⪎≴∭⊉11116⫘≴∭⊉11025)","cot":[{"info":"∤≴∭⊉13254=≴∭⊉12","layer":3},{"info":"≴∭⊉3651⇴∐≴∭⊉5561=NaN","layer":3},{"info":"≴∭⊉12⪕NaN=≴∭⊉2504","layer":2},{"info":"≴∭⊉14503⨚⇆≴∭⊉16231=NaN","layer":3},{"info":"NaN⨽⪊≇=NaN","layer":2},{"info":"≴∭⊉2504⊲⩕⊾NaN=NaN","layer":1},{"info":"≴∭⊉15540≀⫉≴∭⊉11045=≴∭⊉11141","layer":3},{"info":"⇜≴∭⊉4105=≴∭⊉-46310","layer":3},{"info":"≴∭⊉11141≹⇙⪍≴∭⊉-46310=NaN","layer":2},{"info":"≴∭⊉32614⇴≴∭⊉11212=≴∭⊉314556","layer":3},{"info":"≴∭⊉11116⫘≴∭⊉11025=≴∭⊉40041262","layer":3},{"info":"≴∭⊉314556⫁⪎≴∭⊉40041262=≴∭⊉-36423403","layer":2},{"info":"NaN⩷∴≴∭⊉-36423403=NaN","layer":1},{"info":"NaN∌↝NaN=NaN","layer":0}]}
+{"id":831,"expression_no_base_symbol":"($1407$≦≮≮)≁($2021$⩣⫁∢$1344$)≬⇓$2635$⇤$3046$⋅⇍$5338$⨜⨶$2501$⩹(((⨦⪝$2013$)⋝⋈⪟$1271$⊔$6623$)⪚⩙≫)","expression":"(≴∭⊉4050≦≮≮)≁(≴∭⊉5615⩣⫁∢≴∭⊉3630)≬⇓≴∭⊉10453⇤≴∭⊉11611⋅⇍≴∭⊉21364⨜⨶≴∭⊉10202⩹(((⨦⪝≴∭⊉5604)⋝⋈⪟≴∭⊉3464⊔≴∭⊉25211)⪚⩙≫)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":357877,"operation_count":12,"complexity_ratio":29823.083333333332,"tree":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":1407,"base":7}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":2021,"base":7},"right_expr":{"type":"numeric_atoms","value":1344,"base":7}}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":2635,"base":7},"right_expr":{"type":"numeric_atoms","value":3046,"base":7}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":5338,"base":7},"right_expr":{"type":"numeric_atoms","value":2501,"base":7}}}},"right_expr":{"type":"unary","operator":"⪚⩙≫","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"numeric_atoms","value":2013,"base":7}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":1271,"base":7},"right_expr":{"type":"numeric_atoms","value":6623,"base":7}}}}},"used_operators":["2Wsdkap16l","jWTQ2TZYIH","8N2wDY1A35","D4vGDi5EA2","JDUIKTTSIa","AdZkA7nFnk","YSKBFp38Pu","HiPekx5b7W","4n53wtyJvv","2DDjHMKMc0","SUjycxNXIR","E4l6HwMY31"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","Uaa54Peajs","nCS4ZIUYfx","WR6HLWljOP","W4YGzv6Whe","t8gj7n24qd","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1407","layer":4},{"info":"compute unary expreesion, input=1407, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-4221","layer":3},{"info":"number node, value=2021","layer":4},{"info":"number node, value=1344","layer":4},{"info":"compute binary expreesion, left_input=2021, right_input=1344, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-3881","layer":3},{"info":"compute binary expreesion, left_input=-4221, right_input=-3881, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=-119157","layer":2},{"info":"number node, value=2635","layer":4},{"info":"number node, value=3046","layer":4},{"info":"compute binary expreesion, left_input=2635, right_input=3046, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-25557","layer":3},{"info":"number node, value=5338","layer":4},{"info":"number node, value=2501","layer":4},{"info":"compute binary expreesion, left_input=5338, right_input=2501, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-4746","layer":3},{"info":"compute binary expreesion, left_input=-25557, right_input=-4746, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=24984","layer":2},{"info":"compute binary expreesion, left_input=-119157, right_input=24984, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=inf","layer":1},{"info":"number node, value=2013","layer":4},{"info":"compute unary expreesion, input=2013, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":3},{"info":"number node, value=1271","layer":4},{"info":"number node, value=6623","layer":4},{"info":"compute binary expreesion, left_input=1271, right_input=6623, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=33257","layer":3},{"info":"compute binary expreesion, left_input=-1884, right_input=33257, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-1884","layer":2},{"info":"compute unary expreesion, input=-1884, op_id = 4n53wtyJvv, unary_op_definition = 'a⪚⩙≫ = { ((316↢a)⨳⩥⨓(∂255)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=inf, right_input=nan, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉4050≦≮≮)≁(≴∭⊉5615⩣⫁∢≴∭⊉3630)≬⇓≴∭⊉10453⇤≴∭⊉11611⋅⇍≴∭⊉21364⨜⨶≴∭⊉10202⩹(((⨦⪝≴∭⊉5604)⋝⋈⪟≴∭⊉3464⊔≴∭⊉25211)⪚⩙≫)=NaN","reverse_text":"NaN=(≴∭⊉4050≦≮≮)≁(≴∭⊉5615⩣⫁∢≴∭⊉3630)≬⇓≴∭⊉10453⇤≴∭⊉11611⋅⇍≴∭⊉21364⨜⨶≴∭⊉10202⩹(((⨦⪝≴∭⊉5604)⋝⋈⪟≴∭⊉3464⊔≴∭⊉25211)⪚⩙≫)","cot":[{"info":"≴∭⊉4050≦≮≮=≴∭⊉-15210","layer":3},{"info":"≴∭⊉5615⩣⫁∢≴∭⊉3630=≴∭⊉-14213","layer":3},{"info":"≴∭⊉-15210≁≴∭⊉-14213=≴∭⊉-1004253","layer":2},{"info":"≴∭⊉10453⇤≴∭⊉11611=≴∭⊉-134340","layer":3},{"info":"≴∭⊉21364⨜⨶≴∭⊉10202=≴∭⊉-16560","layer":3},{"info":"≴∭⊉-134340⋅⇍≴∭⊉-16560=≴∭⊉132561","layer":2},{"info":"≴∭⊉-1004253≬⇓≴∭⊉132561=Inf","layer":1},{"info":"⨦⪝≴∭⊉5604=≴∭⊉-5331","layer":3},{"info":"≴∭⊉3464⊔≴∭⊉25211=≴∭⊉165650","layer":3},{"info":"≴∭⊉-5331⋝⋈⪟≴∭⊉165650=≴∭⊉-5331","layer":2},{"info":"≴∭⊉-5331⪚⩙≫=NaN","layer":1},{"info":"Inf⩹NaN=NaN","layer":0}]}
+{"id":832,"expression_no_base_symbol":"(⨈⪑(($1210$%$2915$)⪄($2570$⋫)))⫒⫫(($1960$⋥⋵⩄$1056$)∺≝⩲($1081$⇌⫙⪟$1209$)⪶≀⋏($1916$⊨$8781$)↳≱($2293$⋳⪒$1699$))","expression":"(⨈⪑((≴∭⊉3346%≴∭⊉11333)⪄(≴∭⊉10331⋫)))⫒⫫((≴∭⊉5500⋥⋵⩄≴∭⊉3036)∺≝⩲(≴∭⊉3103⇌⫙⪟≴∭⊉3345)⪶≀⋏(≴∭⊉5405⊨≴∭⊉34413)↳≱(≴∭⊉6454⋳⪒≴∭⊉4645))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":756329,"operation_count":12,"complexity_ratio":63027.416666666664,"tree":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1210,"base":7},"right_expr":{"type":"numeric_atoms","value":2915,"base":7}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":2570,"base":7}}}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":1960,"base":7},"right_expr":{"type":"numeric_atoms","value":1056,"base":7}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":1081,"base":7},"right_expr":{"type":"numeric_atoms","value":1209,"base":7}}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":1916,"base":7},"right_expr":{"type":"numeric_atoms","value":8781,"base":7}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2293,"base":7},"right_expr":{"type":"numeric_atoms","value":1699,"base":7}}}}},"used_operators":["6Ko8hGgeMq","mp94q5OcYM","SUmda5xLS4","k8jYdgA6NY","JL8yIekQnl","zR4jO40bMj","KPf6cnQVty","7t3wd0Fuz7","AFVx7xoS7T","JwTKLfZU96","vg4gO5BX6G","12rbrZMWeM"],"dependent_operators":["jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","tmPS8pqC7x","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1210","layer":4},{"info":"number node, value=2915","layer":4},{"info":"compute binary expreesion, left_input=1210, right_input=2915, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1210","layer":3},{"info":"number node, value=2570","layer":4},{"info":"compute unary expreesion, input=2570, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=2570","layer":3},{"info":"compute binary expreesion, left_input=1210, right_input=2570, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-185449","layer":2},{"info":"compute unary expreesion, input=-185449, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":1},{"info":"number node, value=1960","layer":4},{"info":"number node, value=1056","layer":4},{"info":"compute binary expreesion, left_input=1960, right_input=1056, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"number node, value=1081","layer":4},{"info":"number node, value=1209","layer":4},{"info":"compute binary expreesion, left_input=1081, right_input=1209, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=113, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":2},{"info":"number node, value=1916","layer":4},{"info":"number node, value=8781","layer":4},{"info":"compute binary expreesion, left_input=1916, right_input=8781, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=8695","layer":3},{"info":"number node, value=2293","layer":4},{"info":"number node, value=1699","layer":4},{"info":"compute binary expreesion, left_input=2293, right_input=1699, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=2600","layer":3},{"info":"compute binary expreesion, left_input=8695, right_input=2600, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=0, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=868, right_input=0, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(⨈⪑((≴∭⊉3346%≴∭⊉11333)⪄(≴∭⊉10331⋫)))⫒⫫((≴∭⊉5500⋥⋵⩄≴∭⊉3036)∺≝⩲(≴∭⊉3103⇌⫙⪟≴∭⊉3345)⪶≀⋏(≴∭⊉5405⊨≴∭⊉34413)↳≱(≴∭⊉6454⋳⪒≴∭⊉4645))=NaN","reverse_text":"NaN=(⨈⪑((≴∭⊉3346%≴∭⊉11333)⪄(≴∭⊉10331⋫)))⫒⫫((≴∭⊉5500⋥⋵⩄≴∭⊉3036)∺≝⩲(≴∭⊉3103⇌⫙⪟≴∭⊉3345)⪶≀⋏(≴∭⊉5405⊨≴∭⊉34413)↳≱(≴∭⊉6454⋳⪒≴∭⊉4645))","cot":[{"info":"≴∭⊉3346%≴∭⊉11333=≴∭⊉3346","layer":3},{"info":"≴∭⊉10331⋫=≴∭⊉10331","layer":3},{"info":"≴∭⊉3346⪄≴∭⊉10331=≴∭⊉-1401445","layer":2},{"info":"⨈⪑≴∭⊉-1401445=≴∭⊉2350","layer":1},{"info":"≴∭⊉5500⋥⋵⩄≴∭⊉3036=≴∭⊉221","layer":3},{"info":"≴∭⊉3103⇌⫙⪟≴∭⊉3345=≴∭⊉221","layer":3},{"info":"≴∭⊉221∺≝⩲≴∭⊉221=≴∭⊉316","layer":2},{"info":"≴∭⊉5405⊨≴∭⊉34413=≴∭⊉34231","layer":3},{"info":"≴∭⊉6454⋳⪒≴∭⊉4645=≴∭⊉10403","layer":3},{"info":"≴∭⊉34231↳≱≴∭⊉10403=≴∭⊉0","layer":2},{"info":"≴∭⊉316⪶≀⋏≴∭⊉0=≴∭⊉0","layer":1},{"info":"≴∭⊉2350⫒⫫≴∭⊉0=NaN","layer":0}]}
+{"id":833,"expression_no_base_symbol":"(($5084$∀⇚≩$4757$)∛$4635$⪬$1046$⇴∐($1603$≨$5458$⋓($8755$⩚⊴⇥$1771$)))⫯⪬∳($3864$⫁$3528$∇⊂⋱($1015$⨵⪆$6171$)⪮%⊝($2187$⩘$4086$∵≐))","expression":"((≴∭⊉20552∀⇚≩≴∭⊉16604)∛≴∭⊉16341⪬≴∭⊉3023⇴∐(≴∭⊉4450≨≴∭⊉21625⋓(≴∭⊉34345⩚⊴⇥≴∭⊉5110)))⫯⪬∳(≴∭⊉14160⫁≴∭⊉13200∇⊂⋱(≴∭⊉2650⨵⪆≴∭⊉23664)⪮%⊝(≴∭⊉6243⩘≴∭⊉14625∵≐))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":36573,"operation_count":14,"complexity_ratio":2612.3571428571427,"tree":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":5084,"base":7},"right_expr":{"type":"numeric_atoms","value":4757,"base":7}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":4635,"base":7},"right_expr":{"type":"numeric_atoms","value":1046,"base":7}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":1603,"base":7},"right_expr":{"type":"numeric_atoms","value":5458,"base":7}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":8755,"base":7},"right_expr":{"type":"numeric_atoms","value":1771,"base":7}}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":3864,"base":7},"right_expr":{"type":"numeric_atoms","value":3528,"base":7}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1015,"base":7},"right_expr":{"type":"numeric_atoms","value":6171,"base":7}}},"right_expr":{"type":"unary","operator":"∵≐","unary_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":2187,"base":7},"right_expr":{"type":"numeric_atoms","value":4086,"base":7}}}}},"used_operators":["d7ASUq0ydm","HnzytWxmAO","w2537kitQq","LRNGc0VcxI","Ez1Nq5fNfI","T2fj7uvVaJ","0KMCeP1Jsh","NTOWxs364D","IWmyXbctLI","nhYeJWJD5X","0ajvFaJAv0","2DQ55sFlQl","59igzFyhWz","cHh1gJQ2o6"],"dependent_operators":["Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","X99M06cbEe","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","cHh1gJQ2o6","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","DZ8iAZOCBD","8w2t5hMYqp","Ph9nP6C5qx","12rbrZMWeM","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o"],"result":"≴∭⊉20230","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5084","layer":4},{"info":"number node, value=4757","layer":4},{"info":"compute binary expreesion, left_input=5084, right_input=4757, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=4635","layer":4},{"info":"number node, value=1046","layer":4},{"info":"compute binary expreesion, left_input=4635, right_input=1046, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1234, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":2},{"info":"number node, value=1603","layer":4},{"info":"number node, value=5458","layer":4},{"info":"compute binary expreesion, left_input=1603, right_input=5458, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-13554","layer":3},{"info":"number node, value=8755","layer":4},{"info":"number node, value=1771","layer":4},{"info":"compute binary expreesion, left_input=8755, right_input=1771, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-10647","layer":3},{"info":"compute binary expreesion, left_input=-13554, right_input=-10647, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=0, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=-1798","layer":1},{"info":"number node, value=3864","layer":4},{"info":"number node, value=3528","layer":4},{"info":"compute binary expreesion, left_input=3864, right_input=3528, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"number node, value=1015","layer":4},{"info":"number node, value=6171","layer":4},{"info":"compute binary expreesion, left_input=1015, right_input=6171, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=160, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=-226","layer":2},{"info":"number node, value=2187","layer":4},{"info":"number node, value=4086","layer":4},{"info":"compute binary expreesion, left_input=2187, right_input=4086, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = 59igzFyhWz, unary_op_definition = 'a∵≐ = { ((a⊉≛↸31)⋳⪒(101+a)) , if a<=828 ; ((⊄⩳↩a)≧⫂∧(a≧⫂∧a)) , else }', output=92","layer":2},{"info":"compute binary expreesion, left_input=-226, right_input=92, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-136","layer":1},{"info":"compute binary expreesion, left_input=-1798, right_input=-136, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=4921","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉20552∀⇚≩≴∭⊉16604)∛≴∭⊉16341⪬≴∭⊉3023⇴∐(≴∭⊉4450≨≴∭⊉21625⋓(≴∭⊉34345⩚⊴⇥≴∭⊉5110)))⫯⪬∳(≴∭⊉14160⫁≴∭⊉13200∇⊂⋱(≴∭⊉2650⨵⪆≴∭⊉23664)⪮%⊝(≴∭⊉6243⩘≴∭⊉14625∵≐))=≴∭⊉20230","reverse_text":"≴∭⊉20230=((≴∭⊉20552∀⇚≩≴∭⊉16604)∛≴∭⊉16341⪬≴∭⊉3023⇴∐(≴∭⊉4450≨≴∭⊉21625⋓(≴∭⊉34345⩚⊴⇥≴∭⊉5110)))⫯⪬∳(≴∭⊉14160⫁≴∭⊉13200∇⊂⋱(≴∭⊉2650⨵⪆≴∭⊉23664)⪮%⊝(≴∭⊉6243⩘≴∭⊉14625∵≐))","cot":[{"info":"≴∭⊉20552∀⇚≩≴∭⊉16604=NaN","layer":3},{"info":"≴∭⊉16341⪬≴∭⊉3023=≴∭⊉3412","layer":3},{"info":"NaN∛≴∭⊉3412=≴∭⊉124","layer":2},{"info":"≴∭⊉4450≨≴∭⊉21625=≴∭⊉-54342","layer":3},{"info":"≴∭⊉34345⩚⊴⇥≴∭⊉5110=≴∭⊉-43020","layer":3},{"info":"≴∭⊉-54342⋓≴∭⊉-43020=≴∭⊉0","layer":2},{"info":"≴∭⊉124⇴∐≴∭⊉0=≴∭⊉-5146","layer":1},{"info":"≴∭⊉14160⫁≴∭⊉13200=≴∭⊉316","layer":3},{"info":"≴∭⊉2650⨵⪆≴∭⊉23664=≴∭⊉316","layer":3},{"info":"≴∭⊉316∇⊂⋱≴∭⊉316=≴∭⊉-442","layer":2},{"info":"≴∭⊉6243⩘≴∭⊉14625=≴∭⊉316","layer":3},{"info":"≴∭⊉316∵≐=≴∭⊉161","layer":2},{"info":"≴∭⊉-442⪮%⊝≴∭⊉161=≴∭⊉-253","layer":1},{"info":"≴∭⊉-5146⫯⪬∳≴∭⊉-253=≴∭⊉20230","layer":0}]}
+{"id":834,"expression_no_base_symbol":"((($1004$∴≳≥)⩹$7658$≎⪠$4346$)↸(⊥($2290$∽$1762$)))⫸⇳($2834$⪔$7070$⪭≯$2758$↳∿⪆$1065$⇮⋭$8961$⪔⊥$2906$↳∿⪆$2506$⊱⇼⊻$3369$)","expression":"(((≴∭⊉2633∴≳≥)⩹≴∭⊉31220≎⪠≴∭⊉15446)↸(⊥(≴∭⊉6451∽≴∭⊉5065)))⫸⇳(≴∭⊉11156⪔≴∭⊉26420⪭≯≴∭⊉11020↳∿⪆≴∭⊉3051⇮⋭≴∭⊉35061⪔⊥≴∭⊉11321↳∿⪆≴∭⊉10210⊱⇼⊻≴∭⊉12552)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":31326,"operation_count":14,"complexity_ratio":2237.5714285714284,"tree":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"unary","operator":"∴≳≥","unary_expr":{"type":"numeric_atoms","value":1004,"base":7}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":7658,"base":7},"right_expr":{"type":"numeric_atoms","value":4346,"base":7}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":2290,"base":7},"right_expr":{"type":"numeric_atoms","value":1762,"base":7}}}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":2834,"base":7},"right_expr":{"type":"numeric_atoms","value":7070,"base":7}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":2758,"base":7},"right_expr":{"type":"numeric_atoms","value":1065,"base":7}}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":8961,"base":7},"right_expr":{"type":"numeric_atoms","value":2906,"base":7}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":2506,"base":7},"right_expr":{"type":"numeric_atoms","value":3369,"base":7}}}}},"used_operators":["gx7XJ7hdpj","1eCjFl0mb9","2Wsdkap16l","a3N2hFLK0J","aNhz54LH3e","Q3PJZHRvZv","y4ImoPnbV5","vkpjKywKVM","XAx5wpdLa6","GjBEYRfMaF","Cw4SuJJGHO","HJ9erzHUuu","FyVja0WsTP"],"dependent_operators":["DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","g55IO6H4Gj","DpFCA1CohY","xUOZtlo3hN","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","fu6greOZ01","NTOWxs364D","QMFrweE19q","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1004","layer":4},{"info":"compute unary expreesion, input=1004, op_id = a3N2hFLK0J, unary_op_definition = 'a∴≳≥ = { (⨞⊢a) , if (⋗⩬⋾a)==641 ; (a⨸⪁a) , else }', output=4016","layer":3},{"info":"number node, value=7658","layer":4},{"info":"number node, value=4346","layer":4},{"info":"compute binary expreesion, left_input=7658, right_input=4346, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"compute binary expreesion, left_input=4016, right_input=19558, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=19556","layer":2},{"info":"number node, value=2290","layer":4},{"info":"number node, value=1762","layer":4},{"info":"compute binary expreesion, left_input=2290, right_input=1762, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-16558","layer":3},{"info":"compute unary expreesion, input=-16558, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=19556, right_input=nan, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=19556","layer":1},{"info":"number node, value=2834","layer":4},{"info":"number node, value=7070","layer":4},{"info":"compute binary expreesion, left_input=2834, right_input=7070, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"number node, value=2758","layer":4},{"info":"number node, value=1065","layer":4},{"info":"compute binary expreesion, left_input=2758, right_input=1065, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=450, right_input=nan, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":2},{"info":"number node, value=8961","layer":4},{"info":"number node, value=2906","layer":4},{"info":"compute binary expreesion, left_input=8961, right_input=2906, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=29833","layer":3},{"info":"number node, value=2506","layer":4},{"info":"number node, value=3369","layer":4},{"info":"compute binary expreesion, left_input=2506, right_input=3369, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"compute binary expreesion, left_input=29833, right_input=434, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛��133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":1},{"info":"compute binary expreesion, left_input=19556, right_input=67, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":0}],"base":7,"result_base":7,"text":"(((≴∭⊉2633∴≳≥)⩹≴∭⊉31220≎⪠≴∭⊉15446)↸(⊥(≴∭⊉6451∽≴∭⊉5065)))⫸⇳(≴∭⊉11156⪔≴∭⊉26420⪭≯≴∭⊉11020↳∿⪆≴∭⊉3051⇮⋭≴∭⊉35061⪔⊥≴∭⊉11321↳∿⪆≴∭⊉10210⊱⇼⊻≴∭⊉12552)=≴∭⊉0","reverse_text":"≴∭⊉0=(((≴∭⊉2633∴≳≥)⩹≴∭⊉31220≎⪠≴∭⊉15446)↸(⊥(≴∭⊉6451∽≴∭⊉5065)))⫸⇳(≴∭⊉11156⪔≴∭⊉26420⪭≯≴∭⊉11020↳∿⪆≴∭⊉3051⇮⋭≴∭⊉35061⪔⊥≴∭⊉11321↳∿⪆≴∭⊉10210⊱⇼⊻≴∭⊉12552)","cot":[{"info":"≴∭⊉2633∴≳≥=≴∭⊉14465","layer":3},{"info":"≴∭⊉31220≎⪠≴∭⊉15446=≴∭⊉111010","layer":3},{"info":"≴∭⊉14465⩹≴∭⊉111010=≴∭⊉111005","layer":2},{"info":"≴∭⊉6451∽≴∭⊉5065=≴∭⊉-66163","layer":3},{"info":"⊥≴∭⊉-66163=NaN","layer":2},{"info":"≴∭⊉111005↸NaN=≴∭⊉111005","layer":1},{"info":"≴∭⊉11156⪔≴∭⊉26420=≴∭⊉1212","layer":3},{"info":"≴∭⊉11020↳∿⪆≴∭⊉3051=NaN","layer":3},{"info":"≴∭⊉1212⪭≯NaN=NaN","layer":2},{"info":"≴∭⊉35061⪔⊥≴∭⊉11321=≴∭⊉152656","layer":3},{"info":"≴∭⊉10210⊱⇼⊻≴∭⊉12552=≴∭⊉1160","layer":3},{"info":"≴∭⊉152656↳∿⪆≴∭⊉1160=NaN","layer":2},{"info":"NaN⇮⋭NaN=≴∭⊉124","layer":1},{"info":"≴∭⊉111005⫸⇳≴∭⊉124=≴∭⊉0","layer":0}]}
+{"id":835,"expression_no_base_symbol":"(($1390$⩚⊴⇥$7512$)⪛$4616$⊬⨰$2372$≥⨤⩑(⨞⊢$7342$)↳∿⪆($1518$≳⇉$1754$))⪕(($1523$⨎$1149$)⋥⋵⩄($6740$∸))↤⩊((⨆≐≲$2391$)⨐⩸⫘$2780$⋛$1204$)","expression":"((≴∭⊉4024⩚⊴⇥≴∭⊉30621)⪛≴∭⊉16313⊬⨰≴∭⊉6626≥⨤⩑(⨞⊢≴∭⊉30256)↳∿⪆(≴∭⊉4266≳⇉≴∭⊉5054))⪕((≴∭⊉4304⨎≴∭⊉3231)⋥⋵⩄(≴∭⊉25436∸))↤⩊((⨆≐≲≴∭⊉6654)⨐⩸⫘≴∭⊉11051⋛≴∭⊉3340)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":41843731,"operation_count":15,"complexity_ratio":2789582.066666667,"tree":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1390,"base":7},"right_expr":{"type":"numeric_atoms","value":7512,"base":7}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":4616,"base":7},"right_expr":{"type":"numeric_atoms","value":2372,"base":7}}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":7342,"base":7}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":1518,"base":7},"right_expr":{"type":"numeric_atoms","value":1754,"base":7}}}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1523,"base":7},"right_expr":{"type":"numeric_atoms","value":1149,"base":7}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":6740,"base":7}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"numeric_atoms","value":2391,"base":7}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":2780,"base":7},"right_expr":{"type":"numeric_atoms","value":1204,"base":7}}}}},"used_operators":["umQnsF7QlU","gJLn6v0xnP","uFcxV4UQCh","NTOWxs364D","s3Fd5m9Dh2","Cw4SuJJGHO","xUOZtlo3hN","V0kx6qeWkN","13rbtpv6ld","7t3wd0Fuz7","rJVOvQCfKK","o20kRiQErp","fu6greOZ01","Bi9z9uYZqW","YbUVn0Rbpy"],"dependent_operators":["P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","tmPS8pqC7x","3ViojmjbAp","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA"],"result":"≴∭⊉2504","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1390","layer":4},{"info":"number node, value=7512","layer":4},{"info":"compute binary expreesion, left_input=1390, right_input=7512, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-9023","layer":3},{"info":"number node, value=4616","layer":4},{"info":"number node, value=2372","layer":4},{"info":"compute binary expreesion, left_input=4616, right_input=2372, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=13048","layer":3},{"info":"compute binary expreesion, left_input=-9023, right_input=13048, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=4025","layer":2},{"info":"number node, value=7342","layer":4},{"info":"compute unary expreesion, input=7342, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-7516","layer":3},{"info":"number node, value=1518","layer":4},{"info":"number node, value=1754","layer":4},{"info":"compute binary expreesion, left_input=1518, right_input=1754, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-7516, right_input=nan, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=4025, right_input=nan, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":1},{"info":"number node, value=1523","layer":4},{"info":"number node, value=1149","layer":4},{"info":"compute binary expreesion, left_input=1523, right_input=1149, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1149","layer":3},{"info":"number node, value=6740","layer":4},{"info":"compute unary expreesion, input=6740, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute binary expreesion, left_input=1149, right_input=177, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":2},{"info":"number node, value=2391","layer":4},{"info":"compute unary expreesion, input=2391, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=25833624","layer":3},{"info":"number node, value=2780","layer":4},{"info":"number node, value=1204","layer":4},{"info":"compute binary expreesion, left_input=2780, right_input=1204, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-107172","layer":3},{"info":"compute binary expreesion, left_input=25833624, right_input=-107172, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=113, right_input=nan, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=nan, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=935","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉4024⩚⊴⇥≴∭⊉30621)⪛≴∭⊉16313⊬⨰≴∭⊉6626≥⨤⩑(⨞⊢≴∭⊉30256)↳∿⪆(≴∭⊉4266≳⇉≴∭⊉5054))⪕((≴∭⊉4304⨎≴∭⊉3231)⋥⋵⩄(≴∭⊉25436∸))↤⩊((⨆≐≲≴∭⊉6654)⨐⩸⫘≴∭⊉11051⋛≴∭⊉3340)=≴∭⊉2504","reverse_text":"≴∭⊉2504=((≴∭⊉4024⩚⊴⇥≴∭⊉30621)⪛≴∭⊉16313⊬⨰≴∭⊉6626≥⨤⩑(⨞⊢≴∭⊉30256)↳∿⪆(≴∭⊉4266≳⇉≴∭⊉5054))⪕((≴∭⊉4304⨎≴∭⊉3231)⋥⋵⩄(≴∭⊉25436∸))↤⩊((⨆≐≲≴∭⊉6654)⨐⩸⫘≴∭⊉11051⋛≴∭⊉3340)","cot":[{"info":"≴∭⊉4024⩚⊴⇥≴∭⊉30621=≴∭⊉-35210","layer":3},{"info":"≴∭⊉16313⊬⨰≴∭⊉6626=≴∭⊉53020","layer":3},{"info":"≴∭⊉-35210⪛≴∭⊉53020=≴∭⊉14510","layer":2},{"info":"⨞⊢≴∭⊉30256=≴∭⊉-30625","layer":3},{"info":"≴∭⊉4266≳⇉≴∭⊉5054=NaN","layer":3},{"info":"≴∭⊉-30625↳∿⪆NaN=NaN","layer":2},{"info":"≴∭⊉14510≥⨤⩑NaN=≴∭⊉3412","layer":1},{"info":"≴∭⊉4304⨎≴∭⊉3231=≴∭⊉3231","layer":3},{"info":"≴∭⊉25436∸=≴∭⊉342","layer":3},{"info":"���∭⊉3231⋥⋵⩄≴∭⊉342=≴∭⊉221","layer":2},{"info":"⨆≐≲≴∭⊉6654=≴∭⊉432403455","layer":3},{"info":"≴∭⊉11051⋛≴∭⊉3340=≴∭⊉-624312","layer":3},{"info":"≴∭⊉432403455⨐⩸⫘≴∭⊉-624312=NaN","layer":2},{"info":"≴∭⊉221↤⩊NaN=NaN","layer":1},{"info":"≴∭⊉3412⪕NaN=≴∭⊉2504","layer":0}]}
+{"id":836,"expression_no_base_symbol":"($1059$⩒⫫$1022$⊍⩺⋍$2893$⨚$2293$)↓($4379$⊢$1324$⨓($2705$⨘))⩺⪪($1403$⇻⋧≁$1420$⩨$1519$⫲≸⪮$8317$)≧⫂∧($9267$⇡⇂$1234$∠↢$1983$⇣⩺⋵$8911$)","expression":"(≴∭⊉3042⩒⫫≴∭⊉2660⊍⩺⋍≴∭⊉11302⨚≴∭⊉6454)↓(≴∭⊉15524⊢≴∭⊉3601⨓(≴∭⊉10613⨘))⩺⪪(≴∭⊉4043⇻⋧≁≴∭⊉4066⩨≴∭⊉4300⫲≸⪮≴∭⊉33151)≧⫂∧(≴∭⊉36006⇡⇂≴∭⊉3412∠↢≴∭⊉5532⇣⩺⋵≴∭⊉34660)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":309723,"operation_count":15,"complexity_ratio":20648.2,"tree":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":1059,"base":7},"right_expr":{"type":"numeric_atoms","value":1022,"base":7}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":2893,"base":7},"right_expr":{"type":"numeric_atoms","value":2293,"base":7}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":4379,"base":7},"right_expr":{"type":"numeric_atoms","value":1324,"base":7}},"right_expr":{"type":"unary","operator":"⨘","unary_expr":{"type":"numeric_atoms","value":2705,"base":7}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":1403,"base":7},"right_expr":{"type":"numeric_atoms","value":1420,"base":7}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":1519,"base":7},"right_expr":{"type":"numeric_atoms","value":8317,"base":7}}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":9267,"base":7},"right_expr":{"type":"numeric_atoms","value":1234,"base":7}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":1983,"base":7},"right_expr":{"type":"numeric_atoms","value":8911,"base":7}}}}},"used_operators":["uvdQJvN4PV","Af076pWI7l","OXDGMFPWZM","KFSx94NKJn","nREPSIbpBE","3ViojmjbAp","5twsqlHp2o","ljcfZBUpm8","Ph9nP6C5qx","2DlMacCsIx","jCPkEVoL5K","P3lXMJvFrc","KbjG8mgYpV","UMwdvZNt44","F4yD0voBRQ"],"dependent_operators":["Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","BjRHVeLaeN","12rbrZMWeM","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","40aOVDgCDB","JL8yIekQnl","ocnLzx9CaJ","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1059","layer":4},{"info":"number node, value=1022","layer":4},{"info":"compute binary expreesion, left_input=1059, right_input=1022, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=757","layer":3},{"info":"number node, value=2893","layer":4},{"info":"number node, value=2293","layer":4},{"info":"compute binary expreesion, left_input=2893, right_input=2293, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-2452","layer":3},{"info":"compute binary expreesion, left_input=757, right_input=-2452, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":2},{"info":"number node, value=4379","layer":4},{"info":"number node, value=1324","layer":4},{"info":"compute binary expreesion, left_input=4379, right_input=1324, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-9002","layer":3},{"info":"number node, value=2705","layer":4},{"info":"compute unary expreesion, input=2705, op_id = ljcfZBUpm8, unary_op_definition = 'a⨘ = { ((4⊢)⩼⇪↪(a⋫)) }', output=-19710","layer":3},{"info":"compute binary expreesion, left_input=-9002, right_input=-19710, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=19707","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=19707, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":1},{"info":"number node, value=1403","layer":4},{"info":"number node, value=1420","layer":4},{"info":"compute binary expreesion, left_input=1403, right_input=1420, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"number node, value=1519","layer":4},{"info":"number node, value=8317","layer":4},{"info":"compute binary expreesion, left_input=1519, right_input=8317, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=1519","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=1519, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=12","layer":2},{"info":"number node, value=9267","layer":4},{"info":"number node, value=1234","layer":4},{"info":"compute binary expreesion, left_input=9267, right_input=1234, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"number node, value=1983","layer":4},{"info":"number node, value=8911","layer":4},{"info":"compute binary expreesion, left_input=1983, right_input=8911, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-9828","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-9828, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=12, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-134, right_input=nan, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉3042⩒⫫≴∭⊉2660⊍⩺⋍≴∭⊉11302⨚≴∭⊉6454)↓(≴∭⊉15524⊢≴∭⊉3601⨓(≴∭⊉10613⨘))⩺⪪(≴∭⊉4043⇻⋧≁≴∭⊉4066⩨≴∭⊉4300⫲≸⪮≴∭⊉33151)≧⫂∧(≴∭⊉36006⇡⇂≴∭⊉3412∠↢≴∭⊉5532⇣⩺⋵≴∭⊉34660)=NaN","reverse_text":"NaN=(≴∭⊉3042⩒⫫≴∭⊉2660⊍⩺⋍≴∭⊉11302⨚≴∭⊉6454)↓(≴∭⊉15524⊢≴∭⊉3601⨓(≴∭⊉10613⨘))⩺⪪(≴∭⊉4043⇻⋧≁≴∭⊉4066⩨≴∭⊉4300⫲≸⪮≴∭⊉33151)≧⫂∧(≴∭⊉36006⇡⇂≴∭⊉3412∠↢≴∭⊉5532⇣⩺⋵≴∭⊉34660)","cot":[{"info":"≴∭⊉3042⩒⫫≴∭⊉2660=≴∭⊉2131","layer":3},{"info":"≴∭⊉11302⨚≴∭⊉6454=≴∭⊉-10102","layer":3},{"info":"≴∭⊉2131⊍⩺⋍≴∭⊉-10102=NaN","layer":2},{"info":"≴∭⊉15524⊢≴∭⊉3601=≴∭⊉-35150","layer":3},{"info":"≴∭⊉10613⨘=≴∭⊉-111315","layer":3},{"info":"≴∭⊉-35150⨓≴∭⊉-111315=≴∭⊉111312","layer":2},{"info":"NaN↓≴∭⊉111312=≴∭⊉-251","layer":1},{"info":"≴∭⊉4043⇻⋧≁≴∭⊉4066=≴∭⊉-1206","layer":3},{"info":"≴∭⊉4300⫲≸⪮≴∭⊉33151=≴∭⊉4300","layer":3},{"info":"≴∭⊉-1206⩨≴∭⊉4300=≴∭⊉15","layer":2},{"info":"≴∭⊉36006⇡⇂≴∭⊉3412=NaN","layer":3},{"info":"≴∭⊉5532⇣⩺⋵≴∭⊉34660=≴∭⊉-40440","layer":3},{"info":"NaN∠↢≴∭⊉-40440=NaN","layer":2},{"info":"≴∭⊉15≧⫂∧NaN=NaN","layer":1},{"info":"≴∭⊉-251⩺⪪NaN=NaN","layer":0}]}
+{"id":837,"expression_no_base_symbol":"(($1464$⇐≅)↙$6215$≎⪠$2031$⫚↹⊑(⊗($3809$≹⇙⪍$2602$)))⨎((→⩰$2740$⪡$5292$)⩉⊫⨁)","expression":"((≴∭⊉4161⇐≅)↙≴∭⊉24056≎⪠≴∭⊉5631⫚↹⊑(⊗(≴∭⊉14051≹⇙⪍≴∭⊉10405)))⨎((→⩰≴∭⊉10663⪡≴∭⊉21300)⩉⊫⨁)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":39221,"operation_count":10,"complexity_ratio":3922.1,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⇐≅","unary_expr":{"type":"numeric_atoms","value":1464,"base":7}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":6215,"base":7},"right_expr":{"type":"numeric_atoms","value":2031,"base":7}}},"right_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":3809,"base":7},"right_expr":{"type":"numeric_atoms","value":2602,"base":7}}}},"right_expr":{"type":"unary","operator":"⩉⊫⨁","unary_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":2740,"base":7},"right_expr":{"type":"numeric_atoms","value":5292,"base":7}}}}},"used_operators":["rJVOvQCfKK","dfKe02y8D2","yyfyN0ffXY","wEfv7U73WA","aNhz54LH3e","RhiyfpczSx","AHs5Up7iyr","7qqUquhhSb","o8Pngz0Tml","oraRL2iQuh"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","tmPS8pqC7x","DpFCA1CohY","9FxExcQeMw","t8gj7n24qd","Ph9nP6C5qx","i8ToyICDmI","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","dWAJyo7jo9","7j4O788W3g","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1464","layer":4},{"info":"compute unary expreesion, input=1464, op_id = wEfv7U73WA, unary_op_definition = 'a⇐≅ = { ((a⩷∴(a∲⫓a))≧⫂∧(-a)) }', output=4360","layer":3},{"info":"number node, value=6215","layer":4},{"info":"number node, value=2031","layer":4},{"info":"compute binary expreesion, left_input=6215, right_input=2031, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"compute binary expreesion, left_input=4360, right_input=19558, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-58674","layer":2},{"info":"number node, value=3809","layer":4},{"info":"number node, value=2602","layer":4},{"info":"compute binary expreesion, left_input=3809, right_input=2602, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-58674, right_input=nan, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":1},{"info":"number node, value=2740","layer":4},{"info":"number node, value=5292","layer":4},{"info":"compute binary expreesion, left_input=2740, right_input=5292, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"compute unary expreesion, input=107, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 7qqUquhhSb, unary_op_definition = 'a⩉⊫⨁ = { (331↺a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-447, right_input=nan, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉4161⇐≅)↙≴∭⊉24056≎⪠≴∭⊉5631⫚↹⊑(⊗(≴∭⊉14051≹⇙⪍≴∭⊉10405)))⨎((→⩰≴∭⊉10663⪡≴∭⊉21300)⩉⊫⨁)=NaN","reverse_text":"NaN=((≴∭⊉4161⇐≅)↙≴∭⊉24056≎⪠≴∭⊉5631⫚↹⊑(⊗(≴∭⊉14051≹⇙⪍≴∭⊉10405)))⨎((→⩰≴∭⊉10663⪡≴∭⊉21300)⩉⊫⨁)","cot":[{"info":"≴∭⊉4161⇐≅=≴∭⊉15466","layer":3},{"info":"≴∭⊉24056≎⪠≴∭⊉5631=≴∭⊉111010","layer":3},{"info":"≴∭⊉15466↙≴∭⊉111010=≴∭⊉-333030","layer":2},{"info":"≴∭⊉14051≹⇙⪍≴∭⊉10405=NaN","layer":3},{"info":"⊗NaN=NaN","layer":2},{"info":"≴∭⊉-333030⫚↹⊑NaN=≴∭⊉-1206","layer":1},{"info":"≴∭⊉10663⪡≴∭⊉21300=≴∭⊉212","layer":3},{"info":"→⩰≴∭⊉212=NaN","layer":2},{"info":"NaN⩉⊫⨁=NaN","layer":1},{"info":"≴∭⊉-1206⨎NaN=NaN","layer":0}]}
+{"id":838,"expression_no_base_symbol":"(($1050$⫡⨏$4125$)⨚⇆($5166$⫲≸⪮$3160$))∊∟⩊(⊥($3063$⨐⩸⫘$2219$))≠≀(⩷⨜⫀(($5657$↼⊘⨖$1667$)⪔⊥(↴⪽⋼$1613$)))","expression":"((≴∭⊉3030⫡⨏≴∭⊉15012)⨚⇆(≴∭⊉21030⫲≸⪮≴∭⊉12133))∊∟⩊(⊥(≴∭⊉11634⨐⩸⫘≴∭⊉6320))≠≀(⩷⨜⫀((≴∭⊉22331↼⊘⨖≴∭⊉4601)⪔⊥(↴⪽⋼≴∭⊉4463)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":105228,"operation_count":11,"complexity_ratio":9566.181818181818,"tree":{"type":"binary","operator":"≠≀","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1050,"base":7},"right_expr":{"type":"numeric_atoms","value":4125,"base":7}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":5166,"base":7},"right_expr":{"type":"numeric_atoms","value":3160,"base":7}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":3063,"base":7},"right_expr":{"type":"numeric_atoms","value":2219,"base":7}}}},"right_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":5657,"base":7},"right_expr":{"type":"numeric_atoms","value":1667,"base":7}},"right_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"numeric_atoms","value":1613,"base":7}}}}},"used_operators":["IwW236VD4Y","ddLRYrp01A","lwHaAYXP2r","QMFrweE19q","P3lXMJvFrc","Q3PJZHRvZv","fu6greOZ01","CDi0ktkjQ4","HJ9erzHUuu","bPywburJMS","5TUYCnJO6w"],"dependent_operators":["eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","fu6greOZ01","3ViojmjbAp","ruOEQAzv1W","nhYeJWJD5X","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1050","layer":4},{"info":"number node, value=4125","layer":4},{"info":"compute binary expreesion, left_input=1050, right_input=4125, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=14283","layer":3},{"info":"number node, value=5166","layer":4},{"info":"number node, value=3160","layer":4},{"info":"compute binary expreesion, left_input=5166, right_input=3160, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=5166","layer":3},{"info":"compute binary expreesion, left_input=14283, right_input=5166, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":2},{"info":"number node, value=3063","layer":4},{"info":"number node, value=2219","layer":4},{"info":"compute binary expreesion, left_input=3063, right_input=2219, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=nan","layer":1},{"info":"number node, value=5657","layer":4},{"info":"number node, value=1667","layer":4},{"info":"compute binary expreesion, left_input=5657, right_input=1667, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=3112","layer":3},{"info":"number node, value=1613","layer":4},{"info":"compute unary expreesion, input=1613, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=1613","layer":3},{"info":"compute binary expreesion, left_input=3112, right_input=1613, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=9023","layer":2},{"info":"compute unary expreesion, input=9023, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-8750","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-8750, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)���≂(a⋝⋈⪟356)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉3030⫡⨏≴∭⊉15012)⨚⇆(≴∭⊉21030⫲≸⪮≴∭⊉12133))∊∟⩊(⊥(≴∭⊉11634⨐⩸⫘≴∭⊉6320))≠≀(⩷⨜⫀((≴∭⊉22331↼⊘⨖≴∭⊉4601)⪔⊥(↴⪽⋼≴∭⊉4463)))=NaN","reverse_text":"NaN=((≴∭⊉3030⫡⨏≴∭⊉15012)⨚⇆(≴∭⊉21030⫲≸⪮≴∭⊉12133))∊∟⩊(⊥(≴∭⊉11634⨐⩸⫘≴∭⊉6320))≠≀(⩷⨜⫀((≴∭⊉22331↼⊘⨖≴∭⊉4601)⪔⊥(↴⪽⋼≴∭⊉4463)))","cot":[{"info":"≴∭⊉3030⫡⨏≴∭⊉15012=≴∭⊉56433","layer":3},{"info":"≴∭⊉21030⫲≸⪮≴∭⊉12133=≴∭⊉21030","layer":3},{"info":"≴∭⊉56433⨚⇆≴∭⊉21030=NaN","layer":2},{"info":"≴∭⊉11634⨐⩸⫘≴∭⊉6320=NaN","layer":3},{"info":"⊥NaN=NaN","layer":2},{"info":"NaN∊∟⩊NaN=NaN","layer":1},{"info":"≴∭⊉22331↼⊘⨖≴∭⊉4601=≴∭⊉12034","layer":3},{"info":"↴⪽⋼≴∭⊉4463=≴∭⊉4463","layer":3},{"info":"≴∭⊉12034⪔⊥≴∭⊉4463=≴∭⊉35210","layer":2},{"info":"⩷⨜⫀≴∭⊉35210=≴∭⊉-34340","layer":1},{"info":"NaN≠≀≴∭⊉-34340=NaN","layer":0}]}
+{"id":839,"expression_no_base_symbol":"(⩪∧⨌($1455$∘$6289$)⪬($6420$↱$3695$))∳⫺(((⩪∧⨌$2184$)⫃⨇(⇖$6718$))≝⊿($2865$⪕$1260$⪎⩰))","expression":"(⩪∧⨌(≴∭⊉4146∘≴∭⊉24223)⪬(≴∭⊉24501↱≴∭⊉13526))∳⫺(((⩪∧⨌≴∭⊉6240)⫃⨇(⇖≴∭⊉25405))≝⊿(≴∭⊉11232⪕≴∭⊉3450⪎⩰))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":731,"operation_count":11,"complexity_ratio":66.45454545454545,"tree":{"type":"binary","operator":"∳⫺","left_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":1455,"base":7},"right_expr":{"type":"numeric_atoms","value":6289,"base":7}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":6420,"base":7},"right_expr":{"type":"numeric_atoms","value":3695,"base":7}}}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"numeric_atoms","value":2184,"base":7}},"right_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"numeric_atoms","value":6718,"base":7}}},"right_expr":{"type":"unary","operator":"⪎⩰","unary_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":2865,"base":7},"right_expr":{"type":"numeric_atoms","value":1260,"base":7}}}}},"used_operators":["AzXXKTstlj","6iOiAJX1F8","Ez1Nq5fNfI","Z5m6OM72h2","SR5kFfdi6N","OKKcZfAt5B","09Ly4LVMIf","tfWHHpNKUN","2ufhKmSs5H","umQnsF7QlU"],"dependent_operators":["F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","eH2TOUuTDT","rysDP5nf3Z","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","12rbrZMWeM","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","2DQ55sFlQl","DpFCA1CohY","N41Kp7NANJ","sdazOOVcIp","EBcxylXtPf","f6k1SAg4EE","COABgblf1C","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF"],"result":"≴∭⊉-521","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1455","layer":4},{"info":"number node, value=6289","layer":4},{"info":"compute binary expreesion, left_input=1455, right_input=6289, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=2910","layer":3},{"info":"number node, value=6420","layer":4},{"info":"number node, value=3695","layer":4},{"info":"compute binary expreesion, left_input=6420, right_input=3695, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-10563","layer":3},{"info":"compute binary expreesion, left_input=2910, right_input=-10563, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"compute unary expreesion, input=1234, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=12340","layer":1},{"info":"number node, value=2184","layer":4},{"info":"compute unary expreesion, input=2184, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=21840","layer":3},{"info":"number node, value=6718","layer":4},{"info":"compute unary expreesion, input=6718, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=21840, right_input=160, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-672","layer":2},{"info":"number node, value=2865","layer":4},{"info":"number node, value=1260","layer":4},{"info":"compute binary expreesion, left_input=2865, right_input=1260, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=5371","layer":3},{"info":"compute unary expreesion, input=5371, op_id = 2ufhKmSs5H, unary_op_definition = 'a⪎⩰ = { (17≋⫹) , if a>=326 and a!=597 ; (((a⪒a)⫌⩹⨱)⊭↱(⋗⩬⋾(756⪨≂a))) , else }', output=-34","layer":2},{"info":"compute binary expreesion, left_input=-672, right_input=-34, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=207","layer":1},{"info":"compute binary expreesion, left_input=12340, right_input=207, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":0}],"base":7,"result_base":7,"text":"(⩪∧⨌(≴∭⊉4146∘≴∭⊉24223)⪬(≴∭⊉24501↱≴∭⊉13526))∳⫺(((⩪∧⨌≴∭⊉6240)⫃⨇(⇖≴∭⊉25405))≝⊿(≴∭⊉11232⪕≴∭⊉3450⪎⩰))=≴∭⊉-521","reverse_text":"≴∭⊉-521=(⩪∧⨌(≴∭⊉4146∘≴∭⊉24223)⪬(≴∭⊉24501↱≴∭⊉13526))∳⫺(((⩪∧⨌≴∭⊉6240)⫃⨇(⇖≴∭⊉25405))≝⊿(≴∭⊉11232⪕≴∭⊉3450⪎⩰))","cot":[{"info":"≴∭⊉4146∘≴∭⊉24223=≴∭⊉11325","layer":3},{"info":"≴∭⊉24501↱≴∭⊉13526=≴∭⊉-42540","layer":3},{"info":"≴∭⊉11325⪬≴∭⊉-42540=≴∭⊉3412","layer":2},{"info":"⩪∧⨌≴∭⊉3412=≴∭⊉50656","layer":1},{"info":"⩪∧⨌≴∭⊉6240=≴∭⊉120450","layer":3},{"info":"⇖≴∭⊉25405=≴∭⊉316","layer":3},{"info":"≴∭⊉120450⫃⨇≴∭⊉316=≴∭⊉-1650","layer":2},{"info":"≴∭⊉11232⪕≴∭⊉3450=≴∭⊉21442","layer":3},{"info":"≴∭⊉21442⪎⩰=≴∭⊉-46","layer":2},{"info":"≴∭⊉-1650≝⊿≴∭⊉-46=≴∭⊉414","layer":1},{"info":"≴∭⊉50656∳⫺≴∭⊉414=≴∭⊉-521","layer":0}]}
+{"id":840,"expression_no_base_symbol":"($1234$∠↢$3414$)⊮⊟↴($3082$∥⊢⊲$1490$)⩁⩘(($1194$⩟)⋻⩜⩜$2473$≀⩗∶$2199$)⪕(⋗⩴⪓($1581$⨵⪆$3749$))⇻⋧≁(($2705$∁)↙$6171$⨟⋌⩍$6385$)","expression":"(≴∭⊉3412∠↢≴∭⊉12645)⊮⊟↴(≴∭⊉11662∥⊢⊲≴∭⊉4226)⩁⩘((≴∭⊉3324⩟)⋻⩜⩜≴∭⊉10132≀⩗∶≴∭⊉6261)⪕(⋗⩴⪓(≴∭⊉4416⨵⪆≴∭⊉13634))⇻⋧≁((≴∭⊉10613∁)↙≴∭⊉23664⨟⋌⩍≴∭⊉24421)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":1696,"operation_count":14,"complexity_ratio":121.14285714285714,"tree":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":1234,"base":7},"right_expr":{"type":"numeric_atoms","value":3414,"base":7}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":3082,"base":7},"right_expr":{"type":"numeric_atoms","value":1490,"base":7}}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"unary","operator":"⩟","unary_expr":{"type":"numeric_atoms","value":1194,"base":7}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":2473,"base":7},"right_expr":{"type":"numeric_atoms","value":2199,"base":7}}}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1581,"base":7},"right_expr":{"type":"numeric_atoms","value":3749,"base":7}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"∁","unary_expr":{"type":"numeric_atoms","value":2705,"base":7}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":6171,"base":7},"right_expr":{"type":"numeric_atoms","value":6385,"base":7}}}}},"used_operators":["umQnsF7QlU","gub5Cegaqo","QDVgd2eftb","KbjG8mgYpV","v1UQAVDJRr","oDCm7WA9JY","fOIeswaMU4","8INZBEW696","jCPkEVoL5K","nOKPl9n5zu","2DQ55sFlQl","yyfyN0ffXY","jdwGQqwJi5","rGHVDoGpnC"],"dependent_operators":["P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","DpFCA1CohY","IWmyXbctLI","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","EBcxylXtPf","rGHVDoGpnC","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","W4YGzv6Whe","Qy55tPpLXF","8w2t5hMYqp","12rbrZMWeM","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","2DDjHMKMc0","Tcnh7f0tEr"],"result":"≴∭⊉2504","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1234","layer":4},{"info":"number node, value=3414","layer":4},{"info":"compute binary expreesion, left_input=1234, right_input=3414, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-51650","layer":3},{"info":"number node, value=3082","layer":4},{"info":"number node, value=1490","layer":4},{"info":"compute binary expreesion, left_input=3082, right_input=1490, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-51650, right_input=nan, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=nan","layer":2},{"info":"number node, value=1194","layer":4},{"info":"compute unary expreesion, input=1194, op_id = fOIeswaMU4, unary_op_definition = 'a⩟ = { (⊄⩳↩((a⋳⪒a)+(155⋥≓≎a))) }', output=-9519","layer":3},{"info":"number node, value=2473","layer":4},{"info":"number node, value=2199","layer":4},{"info":"compute binary expreesion, left_input=2473, right_input=2199, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-9519, right_input=0, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=nan","layer":1},{"info":"number node, value=1581","layer":4},{"info":"number node, value=3749","layer":4},{"info":"compute binary expreesion, left_input=1581, right_input=3749, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=1500","layer":2},{"info":"number node, value=2705","layer":4},{"info":"compute unary expreesion, input=2705, op_id = jdwGQqwJi5, unary_op_definition = 'a∁ = { (a⋝⋈⪟a) }', output=2705","layer":3},{"info":"number node, value=6171","layer":4},{"info":"number node, value=6385","layer":4},{"info":"compute binary expreesion, left_input=6171, right_input=6385, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2705, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1500, right_input=nan, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-447, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=935","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉3412∠↢≴∭⊉12645)⊮⊟↴(≴∭⊉11662∥⊢⊲≴∭⊉4226)⩁⩘((≴∭⊉3324⩟)⋻⩜⩜≴∭⊉10132≀⩗∶≴∭⊉6261)⪕(⋗⩴⪓(≴∭⊉4416⨵⪆≴∭⊉13634))⇻⋧≁((≴∭⊉10613∁)↙≴∭⊉23664⨟⋌⩍≴∭⊉24421)=≴∭⊉2504","reverse_text":"≴∭⊉2504=(≴∭⊉3412∠↢≴∭⊉12645)⊮⊟↴(≴∭⊉11662∥⊢⊲≴∭⊉4226)⩁⩘((≴∭⊉3324⩟)⋻⩜⩜≴∭⊉10132≀⩗∶≴∭⊉6261)⪕(⋗⩴⪓(≴∭⊉4416⨵⪆≴∭⊉13634))⇻⋧≁((≴∭⊉10613∁)↙≴∭⊉23664⨟⋌⩍≴∭⊉24421)","cot":[{"info":"≴∭⊉3412∠↢≴∭⊉12645=≴∭⊉-303404","layer":3},{"info":"≴∭⊉11662∥⊢⊲≴∭⊉4226=NaN","layer":3},{"info":"≴∭⊉-303404⊮⊟↴NaN=NaN","layer":2},{"info":"≴∭⊉3324⩟=≴∭⊉-36516","layer":3},{"info":"≴∭⊉10132≀⩗∶≴∭⊉6261=≴∭⊉0","layer":3},{"info":"≴∭⊉-36516⋻⩜⩜≴∭⊉0=≴∭⊉0","layer":2},{"info":"NaN⩁⩘≴∭⊉0=NaN","layer":1},{"info":"≴∭⊉4416⨵⪆≴∭⊉13634=≴∭⊉316","layer":3},{"info":"⋗⩴⪓≴∭⊉316=≴∭⊉4242","layer":2},{"info":"≴∭⊉10613∁=≴∭⊉10613","layer":3},{"info":"≴∭⊉23664⨟⋌⩍≴∭⊉24421=NaN","layer":3},{"info":"≴∭⊉10613↙NaN=NaN","layer":2},{"info":"≴∭⊉4242⇻⋧≁NaN=≴∭⊉-1206","layer":1},{"info":"NaN⪕≴∭⊉-1206=≴∭⊉2504","layer":0}]}
+{"id":841,"expression_no_base_symbol":"((↨$1363$⋅⇍$2238$)⨰($1102$≨$6006$⋥≓≎(⊬↢$2701$)))⊝⪿⪼(($1146$⊋≦⊧$3715$)+⪬∐($1088$⨫⇇↔$1422$)⊹∫⫚($1096$≎⪠$1733$≋⫹))","expression":"((↨≴∭⊉3655⋅⇍≴∭⊉6345)⨰(≴∭⊉3133≨≴∭⊉23340⋥≓≎(⊬↢≴∭⊉10606)))⊝⪿⪼((≴∭⊉3225⊋≦⊧≴∭⊉13555)+⪬∐(≴∭⊉3113⨫⇇↔≴∭⊉4101)⊹∫⫚(≴∭⊉3124≎⪠≴∭⊉5024≋⫹))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":23153,"operation_count":13,"complexity_ratio":1781.0,"tree":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":1363,"base":7},"right_expr":{"type":"numeric_atoms","value":2238,"base":7}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":1102,"base":7},"right_expr":{"type":"numeric_atoms","value":6006,"base":7}},"right_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"numeric_atoms","value":2701,"base":7}}}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":1146,"base":7},"right_expr":{"type":"numeric_atoms","value":3715,"base":7}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":1088,"base":7},"right_expr":{"type":"numeric_atoms","value":1422,"base":7}}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":1096,"base":7},"right_expr":{"type":"numeric_atoms","value":1733,"base":7}}}}},"used_operators":["3Oe9XWJUTD","eewbuw0ToL","jiX4gk2v2Q","AdZkA7nFnk","Qy55tPpLXF","0KMCeP1Jsh","WPoGxAaPR1","uWAJUKEvyW","2GS7woTJqF","oRDoc9rAEX","LXhwmt4mBO","N41Kp7NANJ","aNhz54LH3e"],"dependent_operators":["NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","oZj3VtZNQx","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","g55IO6H4Gj","D4vGDi5EA2","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF"],"result":"≴∭⊉35540","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1363","layer":4},{"info":"number node, value=2238","layer":4},{"info":"compute binary expreesion, left_input=1363, right_input=2238, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"compute unary expreesion, input=-22, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=0","layer":2},{"info":"number node, value=1102","layer":4},{"info":"number node, value=6006","layer":4},{"info":"compute binary expreesion, left_input=1102, right_input=6006, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-8544","layer":3},{"info":"number node, value=2701","layer":4},{"info":"compute unary expreesion, input=2701, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=218","layer":3},{"info":"compute binary expreesion, left_input=-8544, right_input=218, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=67, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-57","layer":1},{"info":"number node, value=1146","layer":4},{"info":"number node, value=3715","layer":4},{"info":"compute binary expreesion, left_input=1146, right_input=3715, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=-4621","layer":3},{"info":"number node, value=1088","layer":4},{"info":"number node, value=1422","layer":4},{"info":"compute binary expreesion, left_input=1088, right_input=1422, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"compute binary expreesion, left_input=-4621, right_input=-527, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=13863","layer":2},{"info":"number node, value=1096","layer":4},{"info":"number node, value=1733","layer":4},{"info":"compute binary expreesion, left_input=1096, right_input=1733, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"compute unary expreesion, input=19558, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-39116","layer":2},{"info":"compute binary expreesion, left_input=13863, right_input=-39116, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-44","layer":1},{"info":"compute binary expreesion, left_input=-57, right_input=-44, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=9191","layer":0}],"base":7,"result_base":7,"text":"((↨≴∭⊉3655⋅⇍≴∭⊉6345)⨰(≴∭⊉3133≨≴∭⊉23340⋥≓≎(⊬↢≴∭⊉10606)))⊝⪿⪼((≴∭⊉3225⊋≦⊧≴∭⊉13555)+⪬∐(≴∭⊉3113⨫⇇↔≴∭⊉4101)⊹∫⫚(≴∭⊉3124≎⪠≴∭⊉5024≋⫹))=≴∭⊉35540","reverse_text":"≴∭⊉35540=((↨≴∭⊉3655⋅⇍≴∭⊉6345)⨰(≴∭⊉3133≨≴∭⊉23340⋥≓≎(⊬↢≴∭⊉10606)))⊝⪿⪼((≴∭⊉3225⊋≦⊧≴∭⊉13555)+⪬∐(≴∭⊉3113⨫⇇↔≴∭⊉4101)⊹∫⫚(≴∭⊉3124≎⪠≴∭⊉5024≋⫹))","cot":[{"info":"≴∭⊉3655⋅⇍≴∭⊉6345=≴∭⊉-31","layer":3},{"info":"↨≴∭⊉-31=≴∭⊉0","layer":2},{"info":"≴∭⊉3133≨≴∭⊉23340=≴∭⊉-33624","layer":3},{"info":"⊬↢≴∭⊉10606=≴∭⊉431","layer":3},{"info":"≴∭⊉-33624⋥≓≎≴∭⊉431=≴∭⊉124","layer":2},{"info":"≴∭⊉0⨰≴∭⊉124=≴∭⊉-111","layer":1},{"info":"≴∭⊉3225⊋≦⊧≴∭⊉13555=≴∭⊉-16321","layer":3},{"info":"≴∭⊉3113⨫⇇↔≴∭⊉4101=≴∭⊉-1352","layer":3},{"info":"≴∭⊉-16321+⪬∐≴∭⊉-1352=≴∭⊉55263","layer":2},{"info":"≴∭⊉3124≎⪠≴∭⊉5024=≴∭⊉111010","layer":3},{"info":"≴∭⊉111010≋⫹=≴∭⊉-222020","layer":2},{"info":"≴∭⊉55263⊹∫⫚≴∭⊉-222020=≴∭⊉-62","layer":1},{"info":"≴∭⊉-111⊝⪿⪼≴∭⊉-62=≴∭⊉35540","layer":0}]}
+{"id":842,"expression_no_base_symbol":"(($1438$⪄$6275$)⫁($2576$⊝⪿⪼$1334$)⪇≇⋚$3407$⨽∌$2593$⋝⋈⪟(↣≠⋷$1132$))∘((($1227$⋣⋖$3727$)∛$1378$⩼⇪↪$7213$)⨲)","expression":"((≴∭⊉4123⪄≴∭⊉24203)⫁(≴∭⊉10340⊝⪿⪼≴∭⊉3614)⪇≇⋚≴∭⊉12635⨽∌≴∭⊉10363⋝⋈⪟(↣≠⋷≴∭⊉3205))∘(((≴∭⊉3402⋣⋖≴∭⊉13603)∛≴∭⊉4006⩼⇪↪≴∭⊉30013)⨲)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":7910,"operation_count":12,"complexity_ratio":659.1666666666666,"tree":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1438,"base":7},"right_expr":{"type":"numeric_atoms","value":6275,"base":7}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":2576,"base":7},"right_expr":{"type":"numeric_atoms","value":1334,"base":7}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":3407,"base":7},"right_expr":{"type":"numeric_atoms","value":2593,"base":7}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1132,"base":7}}}},"right_expr":{"type":"unary","operator":"⨲","unary_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":1227,"base":7},"right_expr":{"type":"numeric_atoms","value":3727,"base":7}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":1378,"base":7},"right_expr":{"type":"numeric_atoms","value":7213,"base":7}}}}},"used_operators":["Z5m6OM72h2","3sJ7IOPOlU","0ajvFaJAv0","SUmda5xLS4","3Oe9XWJUTD","2DDjHMKMc0","9samAPKr6k","Asc51vEJeQ","nLYMGWM7L8","w2537kitQq","J0M6qkBnIM","ocnLzx9CaJ"],"dependent_operators":["eH2TOUuTDT","rysDP5nf3Z","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","cHh1gJQ2o6","AHs5Up7iyr","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","XhwjNDsVaA","AHs5Up7iyr","DlLNRPXxWL","WR6HLWljOP","48vC8HMD2b","SUmda5xLS4","wicAB68Tmb","hrf7POJlIJ","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1438","layer":4},{"info":"number node, value=6275","layer":4},{"info":"compute binary expreesion, left_input=1438, right_input=6275, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-234013","layer":3},{"info":"number node, value=2576","layer":4},{"info":"number node, value=1334","layer":4},{"info":"compute binary expreesion, left_input=2576, right_input=1334, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=40664","layer":3},{"info":"compute binary expreesion, left_input=-234013, right_input=40664, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":2},{"info":"number node, value=3407","layer":4},{"info":"number node, value=2593","layer":4},{"info":"compute binary expreesion, left_input=3407, right_input=2593, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"number node, value=1132","layer":4},{"info":"compute unary expreesion, input=1132, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":1},{"info":"number node, value=1227","layer":4},{"info":"number node, value=3727","layer":4},{"info":"compute binary expreesion, left_input=1227, right_input=3727, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=1227","layer":3},{"info":"number node, value=1378","layer":4},{"info":"number node, value=7213","layer":4},{"info":"compute binary expreesion, left_input=1378, right_input=7213, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-48518","layer":3},{"info":"compute binary expreesion, left_input=1227, right_input=-48518, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":2},{"info":"compute unary expreesion, input=67, op_id = nLYMGWM7L8, unary_op_definition = 'a⨲ = { ((a↢a)∴(118⪝a)) , if a==152 ; ((a⪄a)⫘(⫛⫱⨽a)) , else }', output=7381453","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=7381453, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=0","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉4123⪄≴∭⊉24203)⫁(≴∭⊉10340⊝⪿⪼≴∭⊉3614)⪇≇⋚≴∭⊉12635⨽∌≴∭⊉10363⋝⋈⪟(↣≠⋷≴∭⊉3205))∘(((≴∭⊉3402⋣⋖≴∭⊉13603)∛≴∭⊉4006⩼⇪↪≴∭⊉30013)⨲)=≴∭⊉0","reverse_text":"≴∭⊉0=((≴∭⊉4123⪄≴∭⊉24203)⫁(≴∭⊉10340⊝⪿⪼≴∭⊉3614)⪇≇⋚≴∭⊉12635⨽∌≴∭⊉10363⋝⋈⪟(↣≠⋷≴∭⊉3205))∘(((≴∭⊉3402⋣⋖≴∭⊉13603)∛≴∭⊉4006⩼⇪↪≴∭⊉30013)⨲)","cot":[{"info":"≴∭⊉4123⪄≴∭⊉24203=≴∭⊉-1663153","layer":3},{"info":"≴∭⊉10340⊝⪿⪼≴∭⊉3614=≴∭⊉226361","layer":3},{"info":"≴∭⊉-1663153⫁≴∭⊉226361=≴∭⊉316","layer":2},{"info":"≴∭⊉12635⨽∌≴∭⊉10363=≴∭⊉0","layer":3},{"info":"↣≠⋷≴∭⊉3205=NaN","layer":3},{"info":"≴∭⊉0⋝⋈⪟NaN=NaN","layer":2},{"info":"≴∭⊉316⪇≇⋚NaN=≴∭⊉0","layer":1},{"info":"≴∭⊉3402⋣⋖≴∭⊉13603=≴∭⊉3402","layer":3},{"info":"≴∭⊉4006⩼⇪↪≴∭⊉30013=≴∭⊉-261311","layer":3},{"info":"≴∭⊉3402∛≴∭⊉-261311=≴∭⊉124","layer":2},{"info":"≴∭⊉124⨲=≴∭⊉116512162","layer":1},{"info":"≴∭⊉0∘≴∭⊉116512162=≴∭⊉0","layer":0}]}
+{"id":843,"expression_no_base_symbol":"((⫟$2517$)⪇≇⋚($2948$⊠≄⫣)⊉≛↸($8960$⪬$4209$⊾⪯⋞$1049$⩚⊴⇥$4179$))≀⩗∶(($1094$↰)≄⊠($1367$⨘))⇂≾⫗(⩦⊞($1881$⊅))","expression":"((⫟≴∭⊉10224)⪇≇⋚(≴∭⊉11411⊠≄⫣)⊉≛↸(≴∭⊉35060⪬≴∭⊉15162⊾⪯⋞≴∭⊉3026⩚⊴⇥≴∭⊉15120))≀⩗∶((≴∭⊉3122↰)≄⊠(≴∭⊉3662⨘))⇂≾⫗(⩦⊞(≴∭⊉5325⊅))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2360,"operation_count":14,"complexity_ratio":168.57142857142858,"tree":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"numeric_atoms","value":2517,"base":7}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":2948,"base":7}}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":8960,"base":7},"right_expr":{"type":"numeric_atoms","value":4209,"base":7}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1049,"base":7},"right_expr":{"type":"numeric_atoms","value":4179,"base":7}}}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"unary","operator":"↰","unary_expr":{"type":"numeric_atoms","value":1094,"base":7}},"right_expr":{"type":"unary","operator":"⨘","unary_expr":{"type":"numeric_atoms","value":1367,"base":7}}},"right_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"unary","operator":"⊅","unary_expr":{"type":"numeric_atoms","value":1881,"base":7}}}}},"used_operators":["8INZBEW696","DZ8iAZOCBD","3sJ7IOPOlU","z4E1FaHLuy","DIvbN7qnHd","HK0tfVPux8","Ez1Nq5fNfI","NTOWxs364D","aBQ6xLxuTc","vXNesLlMH1","bl5wxAcryP","ljcfZBUpm8","u7fv1HBiaC","7p6YLioM7f"],"dependent_operators":["KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","nCS4ZIUYfx","Z2TMIBDE3Q","40aOVDgCDB","JL8yIekQnl","ocnLzx9CaJ","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","SUmda5xLS4","vg4gO5BX6G","HrjLwUk87U"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2517","layer":4},{"info":"compute unary expreesion, input=2517, op_id = z4E1FaHLuy, unary_op_definition = '⫟a = { (((-a)⪨≂(a⨸⪁a))≧⫂∧((a⩷∴a)⨰(a⫡⨏a))) , if (a⫌⩹⨱)>=11 ; (((a+263)⋝⋈⪟(a⨳⩥⨓a))⪒((a⋥≓≎a)⫩⊇)) , else }', output=-6644","layer":3},{"info":"number node, value=2948","layer":4},{"info":"compute unary expreesion, input=2948, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-6644, right_input=0, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":2},{"info":"number node, value=8960","layer":4},{"info":"number node, value=4209","layer":4},{"info":"compute binary expreesion, left_input=8960, right_input=4209, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"number node, value=1049","layer":4},{"info":"number node, value=4179","layer":4},{"info":"compute binary expreesion, left_input=1049, right_input=4179, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5349","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=-5349, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=-820","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-820, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=0","layer":1},{"info":"number node, value=1094","layer":4},{"info":"compute unary expreesion, input=1094, op_id = bl5wxAcryP, unary_op_definition = 'a↰ = { ((a⨳⩥⨓101)⩤) }', output=993","layer":3},{"info":"number node, value=1367","layer":4},{"info":"compute unary expreesion, input=1367, op_id = ljcfZBUpm8, unary_op_definition = 'a⨘ = { ((4⊢)⩼⇪↪(a⋫)) }', output=-10344","layer":3},{"info":"compute binary expreesion, left_input=993, right_input=-10344, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":2},{"info":"number node, value=1881","layer":4},{"info":"compute unary expreesion, input=1881, op_id = 7p6YLioM7f, unary_op_definition = 'a⊅ = { ((a⪄a)⊨(517⪚a)) }', output=-174","layer":3},{"info":"compute unary expreesion, input=-174, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a���a)) , else }', output=-404","layer":2},{"info":"compute binary expreesion, left_input=1500, right_input=-404, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-676, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((⫟≴∭⊉10224)⪇≇⋚(≴∭⊉11411⊠≄⫣)⊉≛↸(≴∭⊉35060⪬≴∭⊉15162⊾⪯⋞≴∭⊉3026⩚⊴⇥≴∭⊉15120))≀⩗∶((≴∭⊉3122↰)≄⊠(≴∭⊉3662⨘))⇂≾⫗(⩦⊞(≴∭⊉5325⊅))=NaN","reverse_text":"NaN=((⫟≴∭⊉10224)⪇≇⋚(≴∭⊉11411⊠≄⫣)⊉≛↸(≴∭⊉35060⪬≴∭⊉15162⊾⪯⋞≴∭⊉3026⩚⊴⇥≴∭⊉15120))≀⩗∶((≴∭⊉3122↰)≄⊠(≴∭⊉3662⨘))⇂≾⫗(⩦⊞(≴∭⊉5325⊅))","cot":[{"info":"⫟≴∭⊉10224=≴∭⊉-25241","layer":3},{"info":"≴∭⊉11411⊠≄⫣=≴∭⊉0","layer":3},{"info":"≴∭⊉-25241⪇≇⋚≴∭⊉0=≴∭⊉0","layer":2},{"info":"≴∭⊉35060⪬≴∭⊉15162=≴∭⊉3412","layer":3},{"info":"≴∭⊉3026⩚⊴⇥≴∭⊉15120=≴∭⊉-21411","layer":3},{"info":"≴∭⊉3412⊾⪯⋞≴∭⊉-21411=≴∭⊉-2251","layer":2},{"info":"≴∭⊉0⊉≛↸≴∭⊉-2251=≴∭⊉0","layer":1},{"info":"≴∭⊉3122↰=≴∭⊉2616","layer":3},{"info":"≴∭⊉3662⨘=≴∭⊉-42105","layer":3},{"info":"≴∭⊉2616≄⊠≴∭⊉-42105=≴∭⊉4242","layer":2},{"info":"≴∭⊉5325⊅=≴∭⊉-336","layer":3},{"info":"⩦⊞≴∭⊉-336=≴∭⊉-1115","layer":2},{"info":"≴∭⊉4242⇂≾⫗≴∭⊉-1115=≴∭⊉-1654","layer":1},{"info":"≴∭⊉0≀⩗∶≴∭⊉-1654=NaN","layer":0}]}
+{"id":844,"expression_no_base_symbol":"(⩩$6267$)≀⫉(≸$3014$)⨓((⪹$3548$)⪔$1938$⨐$3329$)⨒($1209$↺$3928$)∌↝$5453$⊬⨰$2958$⪄$1537$⨂≜$1034$⩇∃⫛$4094$⨼⩣$2857$","expression":"(⩩≴∭⊉24162)≀⫉(≸≴∭⊉11534)⨓((⪹≴∭⊉13226)⪔≴∭⊉5436⨐≴∭⊉12464)⨒(≴∭⊉3345↺≴∭⊉14311)∌↝≴∭⊉21620⊬⨰≴∭⊉11424⪄≴∭⊉4324⨂≜≴∭⊉3005⩇∃⫛≴∭⊉14636⨼⩣≴∭⊉11221","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":13858,"operation_count":15,"complexity_ratio":923.8666666666667,"tree":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"numeric_atoms","value":6267,"base":7}},"right_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"numeric_atoms","value":3014,"base":7}}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":3548,"base":7}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":1938,"base":7},"right_expr":{"type":"numeric_atoms","value":3329,"base":7}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1209,"base":7},"right_expr":{"type":"numeric_atoms","value":3928,"base":7}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":5453,"base":7},"right_expr":{"type":"numeric_atoms","value":2958,"base":7}}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":1537,"base":7},"right_expr":{"type":"numeric_atoms","value":1034,"base":7}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":4094,"base":7},"right_expr":{"type":"numeric_atoms","value":2857,"base":7}}}}},"used_operators":["y75s1iXyHd","3ViojmjbAp","oZj3VtZNQx","kMhfGuqI2H","eOf03JbCpp","GjBEYRfMaF","USyYr0JgAa","Noe24qw2ks","SUmda5xLS4","9Isq31Ruls","7j4O788W3g","s3Fd5m9Dh2","1aApVXNlOP","k1SHOSEABc","JxwMv5le6e"],"dependent_operators":["srAu1WTS94","oacrs7FA3X","7qqUquhhSb","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","tifHPKVTfV","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","rysDP5nf3Z","t8gj7n24qd","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6267","layer":4},{"info":"compute unary expreesion, input=6267, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":3},{"info":"number node, value=3014","layer":4},{"info":"compute unary expreesion, input=3014, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=58","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=58, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=nan","layer":2},{"info":"number node, value=3548","layer":4},{"info":"compute unary expreesion, input=3548, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=-3368","layer":3},{"info":"number node, value=1938","layer":4},{"info":"number node, value=3329","layer":4},{"info":"compute binary expreesion, left_input=1938, right_input=3329, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-3876","layer":3},{"info":"compute binary expreesion, left_input=-3368, right_input=-3876, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=450, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-453","layer":1},{"info":"number node, value=1209","layer":4},{"info":"number node, value=3928","layer":4},{"info":"compute binary expreesion, left_input=1209, right_input=3928, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3928","layer":3},{"info":"number node, value=5453","layer":4},{"info":"number node, value=2958","layer":4},{"info":"compute binary expreesion, left_input=5453, right_input=2958, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=16229","layer":3},{"info":"compute binary expreesion, left_input=3928, right_input=16229, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":2},{"info":"number node, value=1537","layer":4},{"info":"number node, value=1034","layer":4},{"info":"compute binary expreesion, left_input=1537, right_input=1034, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"number node, value=4094","layer":4},{"info":"number node, value=2857","layer":4},{"info":"compute binary expreesion, left_input=4094, right_input=2857, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-453, right_input=nan, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(⩩≴∭⊉24162)≀⫉(≸≴∭⊉11534)⨓((⪹≴∭⊉13226)⪔≴∭⊉5436⨐≴∭⊉12464)⨒(≴∭⊉3345↺≴∭⊉14311)∌↝≴∭⊉21620⊬⨰≴∭⊉11424⪄≴∭⊉4324⨂≜≴∭⊉3005⩇∃⫛≴∭⊉14636⨼⩣≴∭⊉11221=NaN","reverse_text":"NaN=(⩩≴∭⊉24162)≀⫉(≸≴∭⊉11534)⨓((⪹≴∭⊉13226)⪔≴∭⊉5436⨐≴∭⊉12464)⨒(≴∭⊉3345↺≴∭⊉14311)∌↝≴∭⊉21620⊬⨰≴∭⊉11424⪄≴∭⊉4324⨂≜≴∭⊉3005⩇∃⫛≴∭⊉14636⨼⩣≴∭⊉11221","cot":[{"info":"⩩≴∭⊉24162=NaN","layer":3},{"info":"≸≴∭⊉11534=≴∭⊉112","layer":3},{"info":"NaN≀⫉≴∭⊉112=NaN","layer":2},{"info":"⪹≴∭⊉13226=≴∭⊉-12551","layer":3},{"info":"≴∭⊉5436⨐≴∭⊉12464=≴∭⊉-14205","layer":3},{"info":"≴∭⊉-12551⪔≴∭⊉-14205=≴∭⊉1212","layer":2},{"info":"NaN⨓≴∭⊉1212=≴∭⊉-1215","layer":1},{"info":"��∭⊉3345↺≴∭⊉14311=≴∭⊉14311","layer":3},{"info":"≴∭⊉21620⊬⨰≴∭⊉11424=≴∭⊉65213","layer":3},{"info":"≴∭⊉14311∌↝≴∭⊉65213=≴∭⊉0","layer":2},{"info":"≴∭⊉4324⨂≜≴∭⊉3005=NaN","layer":3},{"info":"≴∭⊉14636⨼⩣≴∭⊉11221=NaN","layer":3},{"info":"NaN⩇∃⫛NaN=NaN","layer":2},{"info":"≴∭⊉0⪄NaN=NaN","layer":1},{"info":"≴∭⊉-1215⨒NaN=NaN","layer":0}]}
+{"id":845,"expression_no_base_symbol":"≪(∐⩳⋚($5525$⨸$2937$↪⪝))","expression":"≪(∐⩳⋚(≴∭⊉22052⨸≴∭⊉11364↪⪝))","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":6551,"operation_count":4,"complexity_ratio":1637.75,"tree":{"type":"unary","operator":"≪","unary_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":5525,"base":7},"right_expr":{"type":"numeric_atoms","value":2937,"base":7}}}}},"used_operators":["Qtd6bqUJcN","SL6IHkK8vl","l07mrZUIn9","KmoU8R5UQR"],"dependent_operators":["3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","9HNa5Wba9A","2DDjHMKMc0","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl"],"result":"≴∭⊉2443","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5525","layer":4},{"info":"number node, value=2937","layer":4},{"info":"compute binary expreesion, left_input=5525, right_input=2937, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=11050","layer":3},{"info":"compute unary expreesion, input=11050, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=676061100","layer":2},{"info":"compute unary expreesion, input=676061100, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":0}],"base":7,"result_base":7,"text":"≪(∐⩳⋚(≴∭⊉22052⨸≴∭⊉11364↪⪝))=≴∭⊉2443","reverse_text":"≴∭⊉2443=≪(∐⩳⋚(≴∭⊉22052⨸≴∭⊉11364↪⪝))","cot":[{"info":"≴∭⊉22052⨸≴∭⊉11364=≴∭⊉44134","layer":3},{"info":"≴∭⊉44134↪⪝=≴∭⊉22516265421","layer":2},{"info":"∐⩳⋚≴∭⊉22516265421=NaN","layer":1},{"info":"≪NaN=≴∭⊉2443","layer":0}]}
+{"id":846,"expression_no_base_symbol":"⊈(($1322$≦↸$1282$⋭≵$1019$≝⊿$1922$)⇴(($1111$⊫∞)%(⪲⇎$2430$)))","expression":"⊈((≴∭⊉3566≦↸≴∭⊉3511⋭≵≴∭⊉2654≝⊿≴∭⊉5414)⇴((≴∭⊉3145⊫∞)%(⪲⇎≴∭⊉10041)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":23234,"operation_count":8,"complexity_ratio":2904.25,"tree":{"type":"unary","operator":"⊈","unary_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":1322,"base":7},"right_expr":{"type":"numeric_atoms","value":1282,"base":7}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":1019,"base":7},"right_expr":{"type":"numeric_atoms","value":1922,"base":7}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⊫∞","unary_expr":{"type":"numeric_atoms","value":1111,"base":7}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":2430,"base":7}}}}},"used_operators":["RHru8klgy8","4JB6nKBMSY","jBncVCNhdl","RygbFNSyEJ","OKKcZfAt5B","k8jYdgA6NY","pABnYW3G3E","XPYlsWDdGa"],"dependent_operators":["12rbrZMWeM","xUOZtlo3hN","sdazOOVcIp","NTOWxs364D","COABgblf1C","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","12rbrZMWeM","rysDP5nf3Z","fu6greOZ01","3sJ7IOPOlU","7YooWSwCyH","ivGwdmUAux","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"≴∭⊉-361","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1322","layer":4},{"info":"number node, value=1282","layer":4},{"info":"compute binary expreesion, left_input=1322, right_input=1282, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-4527","layer":3},{"info":"number node, value=1019","layer":4},{"info":"number node, value=1922","layer":4},{"info":"compute binary expreesion, left_input=1019, right_input=1922, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-5396","layer":3},{"info":"compute binary expreesion, left_input=-4527, right_input=-5396, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":2},{"info":"number node, value=1111","layer":4},{"info":"compute unary expreesion, input=1111, op_id = pABnYW3G3E, unary_op_definition = 'a⊫∞ = { ((a⨐⩸⫘149)⪇≇⋚(a∪⫐a)) , if (⫵↿a)>=80 ; a , else }', output=0","layer":3},{"info":"number node, value=2430","layer":4},{"info":"compute unary expreesion, input=2430, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=4860","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=4860, op_id = k8jYdgA6NY binary_op_definition= 'None', output=0","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=0, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=16","layer":1},{"info":"compute unary expreesion, input=16, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-190","layer":0}],"base":7,"result_base":7,"text":"⊈((≴∭⊉3566≦↸≴∭⊉3511⋭≵≴∭⊉2654≝⊿≴∭⊉5414)⇴((≴∭⊉3145⊫∞)%(⪲⇎≴∭⊉10041)))=≴∭⊉-361","reverse_text":"≴∭⊉-361=⊈((≴∭⊉3566≦↸≴∭⊉3511⋭≵≴∭⊉2654≝⊿≴∭⊉5414)⇴((≴∭⊉3145⊫∞)%(⪲⇎≴∭⊉10041)))","cot":[{"info":"≴∭⊉3566≦↸≴∭⊉3511=≴∭⊉-16125","layer":3},{"info":"≴∭⊉2654≝⊿≴∭⊉5414=≴∭⊉-21506","layer":3},{"info":"≴∭⊉-16125⋭≵≴∭⊉-21506=≴∭⊉124","layer":2},{"info":"≴∭⊉3145⊫∞=≴∭⊉0","layer":3},{"info":"⪲⇎≴∭⊉10041=≴∭⊉20112","layer":3},{"info":"≴∭⊉0%≴∭⊉20112=≴∭⊉0","layer":2},{"info":"≴∭⊉124⇴≴∭⊉0=≴∭⊉22","layer":1},{"info":"⊈≴∭⊉22=≴∭⊉-361","layer":0}]}
+{"id":847,"expression_no_base_symbol":"≔(($4153$⊔$1550$)∳⫺(↨⩢⫨$2878$)⨓(⨦⪝(⇵⪽$3474$)))","expression":"≔((≴∭⊉15052⊔≴∭⊉4343)∳⫺(↨⩢⫨≴∭⊉11251)⨓(⨦⪝(⇵⪽≴∭⊉13062)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2099,"operation_count":7,"complexity_ratio":299.85714285714283,"tree":{"type":"unary","operator":"≔","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":4153,"base":7},"right_expr":{"type":"numeric_atoms","value":1550,"base":7}},"right_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"numeric_atoms","value":2878,"base":7}}},"right_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"numeric_atoms","value":3474,"base":7}}}}},"used_operators":["8FLs4eVsLt","3ViojmjbAp","AzXXKTstlj","E4l6HwMY31","Z5CJsN7DuW","SUjycxNXIR","ZGCBLdVRRX"],"dependent_operators":["uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","U7g4x0WXJJ"],"result":"≴∭⊉-302531","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4153","layer":4},{"info":"number node, value=1550","layer":4},{"info":"compute binary expreesion, left_input=4153, right_input=1550, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=13656","layer":3},{"info":"number node, value=2878","layer":4},{"info":"compute unary expreesion, input=2878, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=13656, right_input=0, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":2},{"info":"number node, value=3474","layer":4},{"info":"compute unary expreesion, input=3474, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":2},{"info":"compute binary expreesion, left_input=-260, right_input=-1884, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=1881","layer":1},{"info":"compute unary expreesion, input=1881, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-51374","layer":0}],"base":7,"result_base":7,"text":"≔((≴∭⊉15052⊔≴∭⊉4343)∳⫺(↨⩢⫨≴∭⊉11251)⨓(⨦⪝(⇵⪽≴∭⊉13062)))=≴∭⊉-302531","reverse_text":"≴∭⊉-302531=≔((≴∭⊉15052⊔≴∭⊉4343)∳⫺(↨⩢⫨≴∭⊉11251)⨓(⨦⪝(⇵⪽≴∭⊉13062)))","cot":[{"info":"≴∭⊉15052⊔≴∭⊉4343=≴∭⊉54546","layer":3},{"info":"↨⩢⫨≴∭⊉11251=≴∭⊉0","layer":3},{"info":"≴∭⊉54546∳⫺≴∭⊉0=≴∭⊉-521","layer":2},{"info":"⇵⪽≴∭⊉13062=NaN","layer":3},{"info":"⨦⪝NaN=≴∭⊉-5331","layer":2},{"info":"≴∭⊉-521⨓≴∭⊉-5331=≴∭⊉5325","layer":1},{"info":"≔≴∭⊉5325=≴∭⊉-302531","layer":0}]}
+{"id":848,"expression_no_base_symbol":"(($8768$⇉⇉)⨜⨶($3229$∛$4592$))↞⋁(($4526$⫩)⪍↜⋙$4091$∓⋝$4844$)⪒($2891$⊍)⋹⋡⊁($6380$⨰$3298$)⩷∴(⊖∈$3841$≎⊠⪸$2024$)","expression":"((≴∭⊉34364⇉⇉)⨜⨶(≴∭⊉12262∛≴∭⊉16250))↞⋁((≴∭⊉16124⫩)⪍↜⋙≴∭⊉14633∓⋝≴∭⊉20060)⪒(≴∭⊉11300⊍)⋹⋡⊁(≴∭⊉24413⨰≴∭⊉12421)⩷∴(⊖∈≴∭⊉14125≎⊠⪸≴∭⊉5621)","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":67817,"operation_count":14,"complexity_ratio":4844.071428571428,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"unary","operator":"⇉⇉","unary_expr":{"type":"numeric_atoms","value":8768,"base":7}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":3229,"base":7},"right_expr":{"type":"numeric_atoms","value":4592,"base":7}}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"unary","operator":"⫩","unary_expr":{"type":"numeric_atoms","value":4526,"base":7}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":4091,"base":7},"right_expr":{"type":"numeric_atoms","value":4844,"base":7}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"unary","operator":"⊍","unary_expr":{"type":"numeric_atoms","value":2891,"base":7}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":6380,"base":7},"right_expr":{"type":"numeric_atoms","value":3298,"base":7}}},"right_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3841,"base":7},"right_expr":{"type":"numeric_atoms","value":2024,"base":7}}}}},"used_operators":["f6k1SAg4EE","RqrPlJkxDo","HiPekx5b7W","diKm42VcIt","w2537kitQq","L05ObWFQCd","6aG7x05OhS","PoHhknlbAi","9FxExcQeMw","As8RqfVLgs","3nqY3DE9mg","eewbuw0ToL","YFxL8Sc2Zy","bJkvcejdHO"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","RygbFNSyEJ","XPYlsWDdGa","k8jYdgA6NY","xUOZtlo3hN","AFVx7xoS7T","iuk5sVOGFA","86A5ENbKR9","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","dWAJyo7jo9","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","rysDP5nf3Z","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","8w2t5hMYqp","AF7qkfDlqP","12rbrZMWeM","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=8768","layer":4},{"info":"compute unary expreesion, input=8768, op_id = diKm42VcIt, unary_op_definition = 'a⇉⇉ = { (⪸(⨞⊢(a≦↸a))) , if (a⪣⫩)!=30 ; (a%(⪲⇎(a⇌⫙⪟156))) , else }', output=-581480","layer":3},{"info":"number node, value=3229","layer":4},{"info":"number node, value=4592","layer":4},{"info":"compute binary expreesion, left_input=3229, right_input=4592, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"compute binary expreesion, left_input=-581480, right_input=-670, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-5818037","layer":2},{"info":"number node, value=4526","layer":4},{"info":"compute unary expreesion, input=4526, op_id = 6aG7x05OhS, unary_op_definition = 'a⫩ = { (a⪢a) }', output=nan","layer":3},{"info":"number node, value=4091","layer":4},{"info":"number node, value=4844","layer":4},{"info":"compute binary expreesion, left_input=4091, right_input=4844, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-5818037, right_input=nan, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":1},{"info":"number node, value=2891","layer":4},{"info":"compute unary expreesion, input=2891, op_id = 3nqY3DE9mg, unary_op_definition = 'a⊍ = { (⊄⩳↩(⨑⩽⪐(a⋳⪒a))) }', output=6993","layer":3},{"info":"number node, value=6380","layer":4},{"info":"number node, value=3298","layer":4},{"info":"compute binary expreesion, left_input=6380, right_input=3298, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=3092","layer":3},{"info":"compute binary expreesion, left_input=6993, right_input=3092, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=3842","layer":2},{"info":"number node, value=3841","layer":4},{"info":"number node, value=2024","layer":4},{"info":"compute binary expreesion, left_input=3841, right_input=2024, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=994346","layer":3},{"info":"compute unary expreesion, input=994346, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=19881326","layer":2},{"info":"compute binary expreesion, left_input=3842, right_input=19881326, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-39755000","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-39755000, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉34364⇉⇉)⨜⨶(≴∭⊉12262∛≴∭⊉16250))↞⋁((≴∭⊉16124⫩)⪍↜⋙≴∭⊉14633∓⋝≴∭⊉20060)⪒(≴∭⊉11300⊍)⋹⋡⊁(≴∭⊉24413⨰≴∭⊉12421)⩷∴(⊖∈≴∭⊉14125≎⊠⪸≴∭⊉5621)=NaN","reverse_text":"NaN=((≴∭⊉34364⇉⇉)⨜⨶(≴∭⊉12262∛≴∭⊉16250))↞⋁((≴∭⊉16124⫩)⪍↜⋙≴∭⊉14633∓⋝≴∭⊉20060)⪒(≴∭⊉11300⊍)⋹⋡⊁(≴∭⊉24413⨰≴∭⊉12421)⩷∴(⊖∈≴∭⊉14125≎⊠⪸≴∭⊉5621)","cot":[{"info":"≴∭⊉34364⇉⇉=≴∭⊉-4641164","layer":3},{"info":"≴∭⊉12262∛≴∭⊉16250=≴∭⊉-1645","layer":3},{"info":"≴∭⊉-4641164⨜⨶≴∭⊉-1645=≴∭⊉-100311131","layer":2},{"info":"≴∭⊉16124⫩=NaN","layer":3},{"info":"≴∭⊉14633∓⋝≴∭⊉20060=≴∭⊉124","layer":3},{"info":"NaN⪍↜⋙≴∭⊉124=NaN","layer":2},{"info":"≴∭⊉-100311131↞⋁NaN=NaN","layer":1},{"info":"≴∭⊉11300⊍=≴∭⊉26250","layer":3},{"info":"≴∭⊉24413⨰≴∭⊉12421=≴∭⊉12005","layer":3},{"info":"≴∭⊉26250⋹⋡⊁≴∭⊉12005=≴∭⊉14126","layer":2},{"info":"≴∭⊉14125≎⊠⪸≴∭⊉5621=≴∭⊉11310653","layer":3},{"info":"⊖∈≴∭⊉11310653=≴∭⊉330663023","layer":2},{"info":"≴∭⊉14126⩷∴≴∭⊉330663023=≴∭⊉-661624535","layer":1},{"info":"NaN⪒≴∭⊉-661624535=NaN","layer":0}]}
+{"id":849,"expression_no_base_symbol":"($2863$⇍⊗$1117$⋅⇍(⪛⨧$1837$)∽(⨆≐≲$2693$)↞⋁(⨂⪏⇭$2978$))⫁⪎(($3825$∘$1759$⪓⨏)⨔≚≋($1066$⨪↰⇹$7344$⨒$3204$∳⫺$3675$))","expression":"(≴∭⊉11230⇍⊗≴∭⊉3154⋅⇍(⪛⨧≴∭⊉5233)∽(⨆≐≲≴∭⊉10565)↞⋁(⨂⪏⇭≴∭⊉11453))⫁⪎((≴∭⊉14103∘≴∭⊉5062⪓⨏)⨔≚≋(≴∭⊉3052⨪↰⇹≴∭⊉30261⨒≴∭⊉12225∳⫺≴∭⊉13500))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":9369,"operation_count":14,"complexity_ratio":669.2142857142857,"tree":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":2863,"base":7},"right_expr":{"type":"numeric_atoms","value":1117,"base":7}},"right_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"numeric_atoms","value":1837,"base":7}}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"numeric_atoms","value":2693,"base":7}},"right_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"numeric_atoms","value":2978,"base":7}}}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"unary","operator":"⪓⨏","unary_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":3825,"base":7},"right_expr":{"type":"numeric_atoms","value":1759,"base":7}}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1066,"base":7},"right_expr":{"type":"numeric_atoms","value":7344,"base":7}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":3204,"base":7},"right_expr":{"type":"numeric_atoms","value":3675,"base":7}}}}},"used_operators":["xRrnTEsQ6j","y4ImoPnbV5","AdZkA7nFnk","5uvYHDjeKN","6NJAcO2OWT","RqrPlJkxDo","Bi9z9uYZqW","AYdpE9sXAk","Z57zeUYC9z","4X9JU4Jbn6","Z5m6OM72h2","y75s1iXyHd","tmPS8pqC7x","AzXXKTstlj"],"dependent_operators":["P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","NTOWxs364D","QMFrweE19q","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","gJLn6v0xnP","nOKPl9n5zu","W9R8I5fN5A","rxpJgHHUmx","inkyxCbjAn","z63VuFQld9","AcOhelriW5","3sJ7IOPOlU","CoMdbyAt7R","cHh1gJQ2o6","xlXykHWxX1","Nsiff2A1zJ","eH2TOUuTDT","rysDP5nf3Z","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","rJVOvQCfKK","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2863","layer":4},{"info":"number node, value=1117","layer":4},{"info":"compute binary expreesion, left_input=2863, right_input=1117, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"number node, value=1837","layer":4},{"info":"compute unary expreesion, input=1837, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=5075","layer":3},{"info":"compute binary expreesion, left_input=-244, right_input=5075, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":2},{"info":"number node, value=2693","layer":4},{"info":"compute unary expreesion, input=2693, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=29138712","layer":3},{"info":"number node, value=2978","layer":4},{"info":"compute unary expreesion, input=2978, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=7955","layer":3},{"info":"compute binary expreesion, left_input=29138712, right_input=7955, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-22, right_input=nan, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=nan","layer":1},{"info":"number node, value=3825","layer":4},{"info":"number node, value=1759","layer":4},{"info":"compute binary expreesion, left_input=3825, right_input=1759, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=7650","layer":3},{"info":"compute unary expreesion, input=7650, op_id = 4X9JU4Jbn6, unary_op_definition = 'a⪓⨏ = { (((⨣⨃⇪a)≭(a⊊))⫢⨠((a⪇≇⋚a)⩘(413≥⨤⩑a))) , if (⇁⨣⪵a)<1 ; ((⋗⩴⪓(191∧))⫢⨠(⨛(a⊴a))) , else }', output=nan","layer":2},{"info":"number node, value=1066","layer":4},{"info":"number node, value=7344","layer":4},{"info":"compute binary expreesion, left_input=1066, right_input=7344, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=1066","layer":3},{"info":"number node, value=3204","layer":4},{"info":"number node, value=3675","layer":4},{"info":"compute binary expreesion, left_input=3204, right_input=3675, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":3},{"info":"compute binary expreesion, left_input=1066, right_input=-260, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉11230⇍⊗≴∭⊉3154⋅⇍(⪛⨧≴∭⊉5233)∽(⨆≐≲≴∭⊉10565)↞⋁(⨂⪏⇭≴∭⊉11453))⫁⪎((≴∭⊉14103∘≴∭⊉5062⪓⨏)⨔≚≋(≴∭⊉3052⨪↰⇹≴∭⊉30261⨒≴∭⊉12225∳⫺≴∭⊉13500))=NaN","reverse_text":"NaN=(≴∭⊉11230⇍⊗≴∭⊉3154⋅⇍(⪛⨧≴∭⊉5233)∽(⨆≐≲≴∭⊉10565)↞⋁(⨂⪏⇭≴∭⊉11453))⫁⪎((≴∭⊉14103∘≴∭⊉5062⪓⨏)⨔≚≋(≴∭⊉3052⨪↰⇹≴∭⊉30261⨒≴∭⊉12225∳⫺≴∭⊉13500))","cot":[{"info":"≴∭⊉11230⇍⊗≴∭⊉3154=≴∭⊉-466","layer":3},{"info":"⪛⨧≴∭⊉5233=≴∭⊉20540","layer":3},{"info":"≴∭⊉-466⋅⇍≴∭⊉20540=≴∭⊉-31","layer":2},{"info":"⨆≐≲≴∭⊉10565=≴∭⊉502450341","layer":3},{"info":"⨂⪏⇭≴∭⊉11453=≴∭⊉32123","layer":3},{"info":"≴∭⊉502450341↞⋁≴∭⊉32123=NaN","layer":2},{"info":"≴∭⊉-31∽NaN=NaN","layer":1},{"info":"≴∭⊉14103∘≴∭⊉5062=≴∭⊉31206","layer":3},{"info":"≴∭⊉31206⪓⨏=NaN","layer":2},{"info":"≴∭⊉3052⨪↰⇹≴∭⊉30261=≴∭⊉3052","layer":3},{"info":"≴∭⊉12225∳⫺≴∭⊉13500=≴∭⊉-521","layer":3},{"info":"≴∭⊉3052⨒≴∭⊉-521=≴∭⊉0","layer":2},{"info":"NaN⨔≚≋≴∭⊉0=NaN","layer":1},{"info":"NaN⫁⪎NaN=NaN","layer":0}]}
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(b⊭↱b) , else }', output=5","layer":3},{"info":"number node, value=1511","layer":4},{"info":"number node, value=3460","layer":4},{"info":"compute binary expreesion, left_input=1511, right_input=3460, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=6920","layer":3},{"info":"compute binary expreesion, left_input=5, right_input=6920, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"number node, value=5347","layer":4},{"info":"compute unary expreesion, input=5347, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-16120","layer":3},{"info":"number node, value=1060","layer":4},{"info":"compute unary expreesion, input=1060, op_id = XwDhCwWbUn, unary_op_definition = '⇜⊴a = { (↩(∓⪦(a≃a))) , if ((a∐⫣)>271 and (a∴779)<=132) ; ((a↢(a⨔⇊a))⊲⩕⊾((a∝a)⊉↱≁(a⊭↱19))) , else }', output=-236446","layer":3},{"info":"compute binary expreesion, left_input=-16120, right_input=-236446, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=0, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=1","layer":1},{"info":"number node, value=5161","layer":4},{"info":"number node, value=5292","layer":4},{"info":"compute binary expreesion, left_input=5161, right_input=5292, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"number node, value=3462","layer":4},{"info":"number node, value=6020","layer":4},{"info":"compute binary expreesion, left_input=3462, right_input=6020, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=1805","layer":3},{"info":"compute binary expreesion, left_input=-204, right_input=1805, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=-13936","layer":2},{"info":"number node, value=1871","layer":4},{"info":"number node, value=1503","layer":4},{"info":"compute binary expreesion, left_input=1871, right_input=1503, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=8515","layer":3},{"info":"number node, value=3946","layer":4},{"info":"number node, value=2391","layer":4},{"info":"compute binary expreesion, left_input=3946, right_input=2391, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=3141","layer":3},{"info":"compute binary expreesion, left_input=8515, right_input=3141, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-10743","layer":2},{"info":"compute binary expreesion, left_input=-13936, right_input=-10743, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=46546","layer":1},{"info":"compute binary expreesion, left_input=1, right_input=46546, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-280380","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉5105⪭≴∭⊉24222⫚↹⊑≴∭⊉4256⇷≴∭⊉13042)⨒(∂⩏⊆≴∭⊉21406)⋓(⇜⊴≴∭⊉3043))⊉↱≁(((≴∭⊉21022⫳≱↱≴∭⊉21300)⨔≚≋≴∭⊉13044⪕≴∭⊉23360)⩼⇪↪(≴∭⊉5312⊨≴∭⊉4245⊭↱≴∭⊉14335⋹⋡⊁≴∭⊉6654))=≴∭⊉-2245302","reverse_text":"≴∭⊉-2245302=((≴∭⊉5105⪭≴∭⊉24222⫚↹⊑≴∭⊉4256⇷≴∭⊉13042)⨒(∂⩏⊆≴∭⊉21406)⋓(⇜⊴≴∭⊉3043))⊉↱≁(((≴∭⊉21022⫳≱↱≴∭⊉21300)⨔≚≋≴∭⊉13044⪕≴∭⊉23360)⩼⇪↪(≴∭⊉5312⊨≴∭⊉4245⊭↱≴∭⊉14335⋹⋡⊁≴∭⊉6654))","cot":[{"info":"≴∭⊉5105⪭≴∭⊉24222=≴∭⊉5","layer":3},{"info":"≴∭⊉4256⇷≴∭⊉13042=≴∭⊉26114","layer":3},{"info":"≴∭⊉5⫚↹⊑≴∭⊉26114=≴∭⊉-1206","layer":2},{"info":"∂⩏⊆≴∭⊉21406=≴∭⊉-64666","layer":3},{"info":"⇜⊴≴∭⊉3043=≴∭⊉-2003230","layer":3},{"info":"≴∭⊉-64666⋓≴∭⊉-2003230=≴∭⊉0","layer":2},{"info":"≴∭⊉-1206⨒≴∭⊉0=≴∭⊉1","layer":1},{"info":"≴∭⊉21022⫳≱↱≴∭⊉21300=≴∭⊉-411","layer":3},{"info":"≴∭⊉13044⪕≴∭⊉23360=≴∭⊉5156","layer":3},{"info":"≴∭⊉-411⨔≚≋≴∭⊉5156=≴∭⊉-55426","layer":2},{"info":"≴∭⊉5312⊨≴∭⊉4245=≴∭⊉33553","layer":3},{"info":"≴∭⊉14335⋹⋡⊁≴∭⊉6654=≴∭⊉12105","layer":3},{"info":"≴∭⊉33553⊭↱≴∭⊉12105=≴∭⊉-43215","layer":2},{"info":"≴∭⊉-55426⩼⇪↪≴∭⊉-43215=≴∭⊉252463","layer":1},{"info":"≴∭⊉1⊉↱≁≴∭⊉252463=≴∭⊉-2245302","layer":0}]}
+{"id":851,"expression_no_base_symbol":"($4694$⩵∡$1581$⇮⋭$4536$⊢$4189$∽($2590$⊴⇁⪶)≒∊($1054$⩱))∓⋝(((↑$3835$)⨭⪣(⩎⋉$4765$))⊊)","expression":"(≴∭⊉16454⩵∡≴∭⊉4416⇮⋭≴∭⊉16140⊢≴∭⊉15133∽(≴∭⊉10360⊴⇁⪶)≒∊(≴∭⊉3034⩱))∓⋝(((↑≴∭⊉14116)⨭⪣(⩎⋉≴∭⊉16615))⊊)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":3325,"operation_count":12,"complexity_ratio":277.0833333333333,"tree":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":4694,"base":7},"right_expr":{"type":"numeric_atoms","value":1581,"base":7}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":4536,"base":7},"right_expr":{"type":"numeric_atoms","value":4189,"base":7}}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"unary","operator":"⊴⇁⪶","unary_expr":{"type":"numeric_atoms","value":2590,"base":7}},"right_expr":{"type":"unary","operator":"⩱","unary_expr":{"type":"numeric_atoms","value":1054,"base":7}}}},"right_expr":{"type":"unary","operator":"⊊","unary_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"numeric_atoms","value":3835,"base":7}},"right_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"numeric_atoms","value":4765,"base":7}}}}},"used_operators":["PoHhknlbAi","y4ImoPnbV5","vkpjKywKVM","Y7wcNGrDQJ","5twsqlHp2o","5KTvxBwnZo","oo9mF6JIpo","uyq1hVkAcj","W9R8I5fN5A","kn8WO9XteQ","tR7O2zTn5j","FlXk3pOYe8"],"dependent_operators":["DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","NTOWxs364D","QMFrweE19q","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","NTOWxs364D","glklzrTFfD","tifHPKVTfV","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","L05ObWFQCd","oacrs7FA3X","2Wsdkap16l","zR4jO40bMj","HrjLwUk87U","YSKBFp38Pu","cHh1gJQ2o6","tmPS8pqC7x","YbVcJGFEVW","12rbrZMWeM","DmTXOeWf9t","RhiyfpczSx","uOZ1tnYMDE","DpFCA1CohY","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","COABgblf1C","DlLNRPXxWL","aBQ6xLxuTc","8n5YIzOsVS","oZj3VtZNQx","MahUMFw56D","hyuBjUqXlG","aA7tF3KVD3","2DDjHMKMc0","QMFrweE19q","SxTAKzQCrw","8cLx32lpNA","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ"],"result":"≴∭⊉124","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4694","layer":4},{"info":"number node, value=1581","layer":4},{"info":"compute binary expreesion, left_input=4694, right_input=1581, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-7928","layer":3},{"info":"number node, value=4536","layer":4},{"info":"number node, value=4189","layer":4},{"info":"compute binary expreesion, left_input=4536, right_input=4189, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-9316","layer":3},{"info":"compute binary expreesion, left_input=-7928, right_input=-9316, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":2},{"info":"number node, value=2590","layer":4},{"info":"compute unary expreesion, input=2590, op_id = oo9mF6JIpo, unary_op_definition = 'a⊴⇁⪶ = { (⊗((157⇤a)⋳⪒(a⨪↰⇹a))) , if ((a⪶≀⋏180)>=510 or (a⩘665)!=249) ; (((a⪍↜⋙a)≃(a⪚343))⪘⫢((a⩹a)⊲⩕⊾(⩏⊷≩a))) , else }', output=49302","layer":3},{"info":"number node, value=1054","layer":4},{"info":"compute unary expreesion, input=1054, op_id = uyq1hVkAcj, unary_op_definition = 'a⩱ = { ((⋗⩬⋾(a⊭↱a))↺((a⨸⪁a)⪒(a⨸⪁125))) }', output=-6574","layer":3},{"info":"compute binary expreesion, left_input=49302, right_input=-6574, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-48818","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=-48818, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=146297","layer":1},{"info":"number node, value=3835","layer":4},{"info":"compute unary expreesion, input=3835, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":3},{"info":"number node, value=4765","layer":4},{"info":"compute unary expreesion, input=4765, op_id = FlXk3pOYe8, unary_op_definition = '⩎⋉a = { (((a/a)∲⫓(≛a))∴((a⩨a)⨳⩥⨓(⊄⩳↩a))) , if (a⩇∃⫛268)<=24 or a==244 or (↩⪖a)>=4 ; (((a⨔⇊a)∠↢(↸⊣a))≚⊃≕((≦∁a)⨐461)) , else }', output=1650","layer":3},{"info":"compute binary expreesion, left_input=192, right_input=1650, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-514","layer":2},{"info":"compute unary expreesion, input=-514, op_id = W9R8I5fN5A, unary_op_definition = 'a⊊ = { (((⫛⫱⨽a)∙⊟a)∌((a⇂≾⫗536)⋝⋈⪟(a⫡⨏a))) , if ((a≚⋢)==7 or (a⪘⨀)==15) ; ((a≀⫉(6⪛⫼a))⫠↝⫳) , else }', output=90927","layer":1},{"info":"compute binary expreesion, left_input=146297, right_input=90927, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉16454⩵∡≴∭⊉4416⇮⋭≴∭⊉16140⊢≴∭⊉15133∽(≴∭⊉10360⊴⇁⪶)≒∊(≴∭⊉3034⩱))∓⋝(((↑≴∭⊉14116)⨭⪣(⩎⋉≴∭⊉16615))⊊)=≴∭⊉124","reverse_text":"≴∭⊉124=(≴∭⊉16454⩵∡≴∭⊉4416⇮⋭≴∭⊉16140⊢≴∭⊉15133∽(≴∭⊉10360⊴⇁⪶)≒∊(≴∭⊉3034⩱))∓⋝(((↑≴∭⊉14116)⨭⪣(⩎⋉≴∭⊉16615))⊊)","cot":[{"info":"≴∭⊉16454⩵∡≴∭⊉4416=≴∭⊉-32054","layer":3},{"info":"≴∭⊉16140⊢≴∭⊉15133=≴∭⊉-36106","layer":3},{"info":"≴∭⊉-32054⇮⋭≴∭⊉-36106=≴∭⊉124","layer":2},{"info":"≴∭⊉10360⊴⇁⪶=≴∭⊉263511","layer":3},{"info":"≴∭⊉3034⩱=≴∭⊉-25111","layer":3},{"info":"≴∭⊉263511≒∊≴∭⊉-25111=≴∭⊉-262220","layer":2},{"info":"≴∭⊉124∽≴∭⊉-262220=≴∭⊉1146344","layer":1},{"info":"↑≴∭⊉14116=≴∭⊉363","layer":3},{"info":"⩎⋉≴∭⊉16615=≴∭⊉4545","layer":3},{"info":"≴∭⊉363⨭⪣≴∭⊉4545=≴∭⊉-1333","layer":2},{"info":"≴∭⊉-1333⊊=≴∭⊉526044","layer":1},{"info":"≴∭⊉1146344∓⋝≴∭⊉526044=≴∭⊉124","layer":0}]}
+{"id":852,"expression_no_base_symbol":"($2275$⩖⊿$3439$⫒⫫($6699$≓∲$1394$)⋾⨃∁($1484$∀⇚≩$2706$≚⋢))⩦(($3604$⇮⋭$7141$∷$5340$⨭⪣$6670$)≧⫂∧($5849$⨚⇆$1386$⇮⋭$1761$⪪$5455$))","expression":"(≴∭⊉6430⩖⊿≴∭⊉13012⫒⫫(≴∭⊉25350≓∲≴∭⊉4031)⋾⨃∁(≴∭⊉4220∀⇚≩≴∭⊉10614≚⋢))⩦((≴∭⊉13336⇮⋭≴∭⊉26551∷≴∭⊉21366⨭⪣≴∭⊉25306)≧⫂∧(≴∭⊉23024⨚⇆≴∭⊉4020⇮⋭≴∭⊉5064⪪≴∭⊉21622))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":57217,"operation_count":14,"complexity_ratio":4086.9285714285716,"tree":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":2275,"base":7},"right_expr":{"type":"numeric_atoms","value":3439,"base":7}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":6699,"base":7},"right_expr":{"type":"numeric_atoms","value":1394,"base":7}}},"right_expr":{"type":"unary","operator":"≚⋢","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1484,"base":7},"right_expr":{"type":"numeric_atoms","value":2706,"base":7}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":3604,"base":7},"right_expr":{"type":"numeric_atoms","value":7141,"base":7}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":5340,"base":7},"right_expr":{"type":"numeric_atoms","value":6670,"base":7}}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":5849,"base":7},"right_expr":{"type":"numeric_atoms","value":1386,"base":7}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":1761,"base":7},"right_expr":{"type":"numeric_atoms","value":5455,"base":7}}}}},"used_operators":["0kmYd0q39Y","212REbPD9h","6Ko8hGgeMq","RZ5CV9rWsJ","s1XTVnmDOJ","MahUMFw56D","LRNGc0VcxI","Ph9nP6C5qx","D3AQDKkPcf","vkpjKywKVM","kn8WO9XteQ","lwHaAYXP2r","xD69zh8xqp"],"dependent_operators":["N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","3ViojmjbAp","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","NTOWxs364D","7j4O788W3g","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","FU0Cs4j7VP","JclMnS0uGI"],"result":"≴∭⊉1235355","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2275","layer":4},{"info":"number node, value=3439","layer":4},{"info":"compute binary expreesion, left_input=2275, right_input=3439, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=18330","layer":3},{"info":"number node, value=6699","layer":4},{"info":"number node, value=1394","layer":4},{"info":"compute binary expreesion, left_input=6699, right_input=1394, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=67773","layer":3},{"info":"compute binary expreesion, left_input=18330, right_input=67773, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":2},{"info":"number node, value=1484","layer":4},{"info":"number node, value=2706","layer":4},{"info":"compute binary expreesion, left_input=1484, right_input=2706, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = MahUMFw56D, unary_op_definition = 'a≚⋢ = { (a⨓86) }', output=-89","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-89, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=80184","layer":1},{"info":"number node, value=3604","layer":4},{"info":"number node, value=7141","layer":4},{"info":"compute binary expreesion, left_input=3604, right_input=7141, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"number node, value=5340","layer":4},{"info":"number node, value=6670","layer":4},{"info":"compute binary expreesion, left_input=5340, right_input=6670, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=4061","layer":3},{"info":"compute binary expreesion, left_input=-473, right_input=4061, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=4061","layer":2},{"info":"number node, value=5849","layer":4},{"info":"number node, value=1386","layer":4},{"info":"compute binary expreesion, left_input=5849, right_input=1386, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"number node, value=1761","layer":4},{"info":"number node, value=5455","layer":4},{"info":"compute binary expreesion, left_input=1761, right_input=5455, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-262000","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-262000, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":2},{"info":"compute binary expreesion, left_input=4061, right_input=67, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-406","layer":1},{"info":"compute binary expreesion, left_input=80184, right_input=-406, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=160368","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉6430⩖⊿≴∭⊉13012⫒⫫(≴∭⊉25350≓∲≴∭⊉4031)⋾⨃∁(≴∭⊉4220∀⇚≩≴∭⊉10614≚⋢))⩦((≴∭⊉13336⇮⋭≴∭⊉26551∷≴∭⊉21366⨭⪣≴∭⊉25306)≧⫂∧(≴∭⊉23024⨚⇆≴∭⊉4020⇮⋭≴∭⊉5064⪪≴∭⊉21622))=≴∭⊉1235355","reverse_text":"≴∭⊉1235355=(≴∭⊉6430⩖⊿≴∭⊉13012⫒⫫(≴∭⊉25350≓∲≴∭⊉4031)⋾⨃∁(≴∭⊉4220∀⇚≩≴∭⊉10614≚⋢))⩦((≴∭⊉13336⇮⋭≴∭⊉26551∷≴∭⊉21366⨭⪣≴∭⊉25306)≧⫂∧(≴∭⊉23024⨚⇆≴∭⊉4020⇮⋭≴∭⊉5064⪪≴∭⊉21622))","cot":[{"info":"≴∭⊉6430⩖⊿≴∭⊉13012=≴∭⊉104304","layer":3},{"info":"≴∭⊉25350≓∲≴∭⊉4031=≴∭⊉401406","layer":3},{"info":"≴∭⊉104304⫒⫫≴∭⊉401406=NaN","layer":2},{"info":"≴∭⊉4220∀⇚≩≴∭⊉10614=NaN","layer":3},{"info":"NaN≚⋢=≴∭⊉-155","layer":2},{"info":"NaN⋾⨃∁≴∭⊉-155=≴∭⊉452526","layer":1},{"info":"≴∭⊉13336⇮⋭≴∭⊉26551=≴∭⊉-1244","layer":3},{"info":"≴∭⊉21366⨭⪣≴∭⊉25306=≴∭⊉14561","layer":3},{"info":"≴∭⊉-1244∷≴∭⊉14561=≴∭⊉14561","layer":2},{"info":"≴∭⊉23024⨚⇆≴∭⊉4020=NaN","layer":3},{"info":"≴∭⊉5064⪪≴∭⊉21622=≴∭⊉-2140564","layer":3},{"info":"NaN⇮⋭≴∭⊉-2140564=≴∭⊉124","layer":2},{"info":"≴∭⊉14561≧⫂∧≴∭⊉124=≴∭⊉-1120","layer":1},{"info":"≴∭⊉452526⩦≴∭⊉-1120=≴∭⊉1235355","layer":0}]}
+{"id":853,"expression_no_base_symbol":"≅≯⇸(↸⊣($1122$⩚⊴⇥$1650$)≴⪞⇿($3277$⪛$1212$))","expression":"≅≯⇸(↸⊣(≴∭⊉3162⩚⊴⇥≴∭⊉4545)≴⪞⇿(≴∭⊉12361⪛≴∭⊉3351))","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":68,"operation_count":5,"complexity_ratio":13.6,"tree":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1122,"base":7},"right_expr":{"type":"numeric_atoms","value":1650,"base":7}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3277,"base":7},"right_expr":{"type":"numeric_atoms","value":1212,"base":7}}}}},"used_operators":["apS25hmuAe","wztAlM01eG","lvlrscuwVU","NTOWxs364D","uFcxV4UQCh"],"dependent_operators":["EBcxylXtPf","QMFrweE19q","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"≴∭⊉2506020","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1122","layer":4},{"info":"number node, value=1650","layer":4},{"info":"compute binary expreesion, left_input=1122, right_input=1650, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-2893","layer":3},{"info":"number node, value=3277","layer":4},{"info":"number node, value=1212","layer":4},{"info":"compute binary expreesion, left_input=3277, right_input=1212, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=853","layer":3},{"info":"compute binary expreesion, left_input=-2893, right_input=853, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=-39216","layer":2},{"info":"compute unary expreesion, input=-39216, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=78432","layer":1},{"info":"compute unary expreesion, input=78432, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=321405","layer":0}],"base":7,"result_base":7,"text":"≅≯⇸(↸⊣(≴∭⊉3162⩚⊴⇥≴∭⊉4545)≴⪞⇿(≴∭⊉12361⪛≴∭⊉3351))=≴∭⊉2506020","reverse_text":"≴∭⊉2506020=≅≯⇸(↸⊣(≴∭⊉3162⩚⊴⇥≴∭⊉4545)≴⪞⇿(≴∭⊉12361⪛≴∭⊉3351))","cot":[{"info":"≴∭⊉3162⩚⊴⇥≴∭⊉4545=≴∭⊉-11302","layer":3},{"info":"≴∭⊉12361⪛≴∭⊉3351=≴∭⊉2326","layer":3},{"info":"≴∭⊉-11302≴⪞⇿≴∭⊉2326=≴∭⊉-222222","layer":2},{"info":"↸⊣≴∭⊉-222222=≴∭⊉444444","layer":1},{"info":"≅≯⇸≴∭⊉444444=≴∭⊉2506020","layer":0}]}
+{"id":854,"expression_no_base_symbol":"(↑($1232$⩌⋺$2379$∩⋅))⪎↠(($6372$⪕$2697$⨸⪁($6361$*$3806$))∼($1114$≎⪠$1960$⩺⪪$4217$⨂≜$8571$))","expression":"(↑(≴∭⊉3410⩌⋺≴∭⊉6636∩⋅))⪎↠((≴∭⊉24402⪕≴∭⊉10602⨸⪁(≴∭⊉24355*≴∭⊉14045))∼(≴∭⊉3151≎⪠≴∭⊉5500⩺⪪≴∭⊉15203⨂≜≴∭⊉33663))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":977200,"operation_count":11,"complexity_ratio":88836.36363636363,"tree":{"type":"binary","operator":"⪎↠","left_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"unary","operator":"∩⋅","unary_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":1232,"base":7},"right_expr":{"type":"numeric_atoms","value":2379,"base":7}}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":6372,"base":7},"right_expr":{"type":"numeric_atoms","value":2697,"base":7}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":6361,"base":7},"right_expr":{"type":"numeric_atoms","value":3806,"base":7}}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":1114,"base":7},"right_expr":{"type":"numeric_atoms","value":1960,"base":7}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":4217,"base":7},"right_expr":{"type":"numeric_atoms","value":8571,"base":7}}}}},"used_operators":["3tVxb0NHM4","tR7O2zTn5j","2MzE1hQ0cz","g7Hmc5v1ko","DyGG3AbaNP","g55IO6H4Gj","umQnsF7QlU","9HNa5Wba9A","uvdQJvN4PV","aNhz54LH3e","k1SHOSEABc"],"dependent_operators":["P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","Qy55tPpLXF","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","W4YGzv6Whe","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ"],"result":"≴∭⊉3043","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1232","layer":4},{"info":"number node, value=2379","layer":4},{"info":"compute binary expreesion, left_input=1232, right_input=2379, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-3732","layer":3},{"info":"compute unary expreesion, input=-3732, op_id = 2MzE1hQ0cz, unary_op_definition = 'a∩⋅ = { (a⋥≓≎44) }', output=67","layer":2},{"info":"compute unary expreesion, input=67, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":1},{"info":"number node, value=6372","layer":4},{"info":"number node, value=2697","layer":4},{"info":"compute binary expreesion, left_input=6372, right_input=2697, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=10948","layer":3},{"info":"number node, value=6361","layer":4},{"info":"number node, value=3806","layer":4},{"info":"compute binary expreesion, left_input=6361, right_input=3806, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=24209966","layer":3},{"info":"compute binary expreesion, left_input=10948, right_input=24209966, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=48441828","layer":2},{"info":"number node, value=1114","layer":4},{"info":"number node, value=1960","layer":4},{"info":"compute binary expreesion, left_input=1114, right_input=1960, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"number node, value=4217","layer":4},{"info":"number node, value=8571","layer":4},{"info":"compute binary expreesion, left_input=4217, right_input=8571, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=19558, right_input=nan, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=48441828, right_input=nan, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=192, right_input=nan, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=1060","layer":0}],"base":7,"result_base":7,"text":"(↑(≴∭⊉3410⩌⋺≴∭⊉6636∩⋅))⪎↠((≴∭⊉24402⪕≴∭⊉10602⨸⪁(≴∭⊉24355*≴∭⊉14045))∼(≴∭⊉3151≎⪠≴∭⊉5500⩺⪪≴∭⊉15203⨂≜≴∭⊉33663))=≴∭⊉3043","reverse_text":"≴∭⊉3043=(↑(≴∭⊉3410⩌⋺≴∭⊉6636∩⋅))⪎↠((≴∭⊉24402⪕≴∭⊉10602⨸⪁(≴∭⊉24355*≴∭⊉14045))∼(≴∭⊉3151≎⪠≴∭⊉5500⩺⪪≴∭⊉15203⨂≜≴∭⊉33663))","cot":[{"info":"≴∭⊉3410⩌⋺≴∭⊉6636=≴∭⊉-13611","layer":3},{"info":"≴∭⊉-13611∩⋅=≴∭⊉124","layer":2},{"info":"↑≴∭⊉124=≴∭⊉363","layer":1},{"info":"≴∭⊉24402⪕≴∭⊉10602=≴∭⊉43630","layer":3},{"info":"≴∭⊉24355*≴∭⊉14045=≴∭⊉412531664","layer":3},{"info":"≴∭⊉43630⨸⪁≴∭⊉412531664=≴∭⊉1125514551","layer":2},{"info":"≴∭⊉3151≎⪠≴∭⊉5500=≴∭⊉111010","layer":3},{"info":"≴∭⊉15203⨂≜≴∭⊉33663=NaN","layer":3},{"info":"≴∭⊉111010⩺⪪NaN=NaN","layer":2},{"info":"≴∭⊉1125514551∼NaN=NaN","layer":1},{"info":"≴∭⊉363⪎↠NaN=≴∭⊉3043","layer":0}]}
+{"id":855,"expression_no_base_symbol":"(($1884$⪟⇏$1315$*$4932$⇡⇂$3028$)≒∊($1413$⊉≛↸$6414$⊉≛↸(⊲⪭$3728$)))⫘((⪡⇡≛($8254$⨐$2587$))⩌⋺($6190$⩣⫁∢$3162$)⨜⨶($5189$⫸⇳$5196$))","expression":"((≴∭⊉5331⪟⇏≴∭⊉3556*≴∭⊉20244⇡⇂≴∭⊉11554)≒∊(≴∭⊉4056⊉≛↸≴∭⊉24462⊉≛↸(⊲⪭≴∭⊉13604)))⫘((⪡⇡≛(≴∭⊉33031⨐��∭⊉10354))⩌⋺(≴∭⊉24022⩣⫁∢≴∭⊉12135)⨜⨶(≴∭⊉21062⫸⇳≴∭⊉21102))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":19619,"operation_count":14,"complexity_ratio":1401.357142857143,"tree":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":1884,"base":7},"right_expr":{"type":"numeric_atoms","value":1315,"base":7}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":4932,"base":7},"right_expr":{"type":"numeric_atoms","value":3028,"base":7}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1413,"base":7},"right_expr":{"type":"numeric_atoms","value":6414,"base":7}},"right_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"numeric_atoms","value":3728,"base":7}}}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":8254,"base":7},"right_expr":{"type":"numeric_atoms","value":2587,"base":7}}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":6190,"base":7},"right_expr":{"type":"numeric_atoms","value":3162,"base":7}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":5189,"base":7},"right_expr":{"type":"numeric_atoms","value":5196,"base":7}}}}},"used_operators":["48vC8HMD2b","5KTvxBwnZo","9HNa5Wba9A","GODebY97qR","UMwdvZNt44","DZ8iAZOCBD","k7HXdKtiEU","g7Hmc5v1ko","qL4PrbW1Dq","Noe24qw2ks","HiPekx5b7W","JDUIKTTSIa","gx7XJ7hdpj"],"dependent_operators":["OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","W4YGzv6Whe","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","i8ToyICDmI","xUOZtlo3hN","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1884","layer":4},{"info":"number node, value=1315","layer":4},{"info":"compute binary expreesion, left_input=1884, right_input=1315, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"number node, value=4932","layer":4},{"info":"number node, value=3028","layer":4},{"info":"compute binary expreesion, left_input=4932, right_input=3028, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1413","layer":4},{"info":"number node, value=6414","layer":4},{"info":"compute binary expreesion, left_input=1413, right_input=6414, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2826","layer":3},{"info":"number node, value=3728","layer":4},{"info":"compute unary expreesion, input=3728, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-3902","layer":3},{"info":"compute binary expreesion, left_input=2826, right_input=-3902, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5652","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=5652, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=nan","layer":1},{"info":"number node, value=8254","layer":4},{"info":"number node, value=2587","layer":4},{"info":"compute binary expreesion, left_input=8254, right_input=2587, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-16508","layer":3},{"info":"compute unary expreesion, input=-16508, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-16508","layer":2},{"info":"number node, value=6190","layer":4},{"info":"number node, value=3162","layer":4},{"info":"compute binary expreesion, left_input=6190, right_input=3162, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-12219","layer":3},{"info":"number node, value=5189","layer":4},{"info":"number node, value=5196","layer":4},{"info":"compute binary expreesion, left_input=5189, right_input=5196, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-12219, right_input=0, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-121407","layer":2},{"info":"compute binary expreesion, left_input=-16508, right_input=-121407, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=137794","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=137794, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉5331⪟⇏≴∭⊉3556*≴∭⊉20244⇡⇂≴∭⊉11554)≒∊(≴∭⊉4056⊉≛↸≴∭⊉24462⊉≛↸(⊲⪭≴∭⊉13604)))⫘((⪡⇡≛(≴∭⊉33031⨐≴∭⊉10354))⩌⋺(≴∭⊉24022⩣⫁∢≴∭⊉12135)⨜⨶(≴∭⊉21062⫸⇳≴∭⊉21102))=NaN","reverse_text":"NaN=((≴∭⊉5331⪟⇏≴∭⊉3556*≴∭⊉20244⇡⇂≴∭⊉11554)≒∊(≴∭⊉4056⊉≛↸≴∭⊉24462⊉≛↸(⊲⪭≴∭⊉13604)))⫘((⪡⇡≛(≴∭⊉33031⨐≴∭⊉10354))⩌⋺(≴∭⊉24022⩣⫁∢≴∭⊉12135)⨜⨶(≴∭⊉21062⫸⇳≴∭⊉21102))","cot":[{"info":"≴∭⊉5331⪟⇏≴∭⊉3556=≴∭⊉-1","layer":3},{"info":"≴∭⊉20244⇡⇂≴∭⊉11554=NaN","layer":3},{"info":"≴∭⊉-1*NaN=NaN","layer":2},{"info":"≴∭⊉4056⊉≛↸≴∭⊉24462=≴∭⊉11145","layer":3},{"info":"⊲⪭≴∭⊉13604=≴∭⊉-14243","layer":3},{"info":"≴∭⊉11145⊉≛↸≴∭⊉-14243=≴∭⊉22323","layer":2},{"info":"NaN≒∊≴∭⊉22323=NaN","layer":1},{"info":"≴∭⊉33031⨐≴∭⊉10354=≴∭⊉-66062","layer":3},{"info":"⪡⇡≛≴∭⊉-66062=≴∭⊉-66062","layer":2},{"info":"≴∭⊉24022⩣⫁∢≴∭⊉12135=≴∭⊉-50424","layer":3},{"info":"≴∭⊉21062⫸⇳≴∭⊉21102=≴∭⊉0","layer":3},{"info":"≴∭⊉-50424⨜⨶≴∭⊉0=≴∭⊉-1013646","layer":2},{"info":"≴∭⊉-66062⩌⋺≴∭⊉-1013646=≴∭⊉1112506","layer":1},{"info":"NaN⫘≴∭⊉1112506=NaN","layer":0}]}
+{"id":856,"expression_no_base_symbol":"($1132$⪪$5371$)≌$6063$⊮⊟↴$1003$⪎↠(($4129$∇⊂⋱$4931$)⊢$2451$⪔⊥$2000$)⪡(⇖⫷⫕($2670$⊋≦⊧$1068$)⋹⋡⊁($1104$⪒$1200$))","expression":"(≴∭⊉3205⪪≴∭⊉21442)≌≴∭⊉23451⊮⊟↴≴∭⊉2632⪎↠((≴∭⊉15016∇⊂⋱≴∭⊉20243)⊢≴∭⊉10101⪔⊥≴∭⊉5555)⪡(⇖⫷⫕(≴∭⊉10533⊋≦⊧≴∭⊉3054)⋹⋡⊁(≴∭⊉3135⪒≴∭⊉3333))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":5125,"operation_count":12,"complexity_ratio":427.0833333333333,"tree":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":1132,"base":7},"right_expr":{"type":"numeric_atoms","value":5371,"base":7}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":6063,"base":7},"right_expr":{"type":"numeric_atoms","value":1003,"base":7}}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":4129,"base":7},"right_expr":{"type":"numeric_atoms","value":4931,"base":7}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":2451,"base":7},"right_expr":{"type":"numeric_atoms","value":2000,"base":7}}}},"right_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":2670,"base":7},"right_expr":{"type":"numeric_atoms","value":1068,"base":7}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1104,"base":7},"right_expr":{"type":"numeric_atoms","value":1200,"base":7}}}}},"used_operators":["oraRL2iQuh","3tVxb0NHM4","lyWz822IDG","xD69zh8xqp","QDVgd2eftb","5twsqlHp2o","nhYeJWJD5X","HJ9erzHUuu","UHmRx3INFg","As8RqfVLgs","oRDoc9rAEX","f6k1SAg4EE"],"dependent_operators":["2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","FU0Cs4j7VP","JclMnS0uGI","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","W4YGzv6Whe","t8gj7n24qd"],"result":"≴∭⊉212","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1132","layer":4},{"info":"number node, value=5371","layer":4},{"info":"compute binary expreesion, left_input=1132, right_input=5371, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-167021","layer":3},{"info":"number node, value=6063","layer":4},{"info":"number node, value=1003","layer":4},{"info":"compute binary expreesion, left_input=6063, right_input=1003, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-167021, right_input=0, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=9080","layer":2},{"info":"number node, value=4129","layer":4},{"info":"number node, value=4931","layer":4},{"info":"compute binary expreesion, left_input=4129, right_input=4931, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=7712","layer":3},{"info":"number node, value=2451","layer":4},{"info":"number node, value=2000","layer":4},{"info":"compute binary expreesion, left_input=2451, right_input=2000, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=5605","layer":3},{"info":"compute binary expreesion, left_input=7712, right_input=5605, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-15668","layer":2},{"info":"compute binary expreesion, left_input=9080, right_input=-15668, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":1},{"info":"number node, value=2670","layer":4},{"info":"number node, value=1068","layer":4},{"info":"compute binary expreesion, left_input=2670, right_input=1068, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=-1896","layer":3},{"info":"number node, value=1104","layer":4},{"info":"number node, value=1200","layer":4},{"info":"compute binary expreesion, left_input=1104, right_input=1200, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-2304","layer":3},{"info":"compute binary expreesion, left_input=-1896, right_input=-2304, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=30074","layer":2},{"info":"compute unary expreesion, input=30074, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=2822, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉3205⪪≴∭⊉21442)≌≴∭⊉23451⊮⊟↴≴∭⊉2632⪎↠((≴∭⊉15016∇⊂⋱≴∭⊉20243)⊢≴∭⊉10101⪔⊥≴∭⊉5555)⪡(⇖⫷⫕(≴∭⊉10533⊋≦⊧≴∭⊉3054)⋹⋡⊁(≴∭⊉3135⪒≴∭⊉3333))=≴∭⊉212","reverse_text":"≴∭⊉212=(≴∭⊉3205⪪≴∭⊉21442)≌≴∭⊉23451⊮⊟↴≴∭⊉2632⪎↠((≴∭⊉15016∇⊂⋱≴∭⊉20243)⊢≴∭⊉10101⪔⊥≴∭⊉5555)⪡(⇖⫷⫕(≴∭⊉10533⊋≦⊧≴∭⊉3054)⋹⋡⊁(≴∭⊉3135⪒≴∭⊉3333))","cot":[{"info":"≴∭⊉3205⪪≴∭⊉21442=≴∭⊉-1263641","layer":3},{"info":"≴∭⊉23451⊮⊟↴≴∭⊉2632=≴∭⊉0","layer":3},{"info":"≴∭⊉-1263641≌≴∭⊉0=≴∭⊉35321","layer":2},{"info":"≴∭⊉15016∇⊂⋱≴∭⊉20243=≴∭⊉31325","layer":3},{"info":"≴∭⊉10101⪔⊥≴∭⊉5555=≴∭⊉22225","layer":3},{"info":"≴∭⊉31325⊢≴∭⊉22225=≴∭⊉-63452","layer":2},{"info":"≴∭⊉35321⪎↠≴∭⊉-63452=≴∭⊉316","layer":1},{"info":"≴∭⊉10533⊋≦⊧≴∭⊉3054=≴∭⊉-5346","layer":3},{"info":"≴∭⊉3135⪒≴∭⊉3333=≴∭⊉-6501","layer":3},{"info":"≴∭⊉-5346⋹⋡⊁≴∭⊉-6501=≴∭⊉153452","layer":2},{"info":"⇖⫷⫕≴∭⊉153452=≴∭⊉11141","layer":1},{"info":"≴∭⊉316⪡≴∭⊉11141=≴∭⊉212","layer":0}]}
+{"id":857,"expression_no_base_symbol":"($7166$⨚⇆$2917$⋾⨃∁$3077$∇⊂⋱$1302$⊭↱(⊿$6181$≒∊$4691$))⇡⇂(($1418$⫯⪬∳$2356$≓∲$3367$⩌⋺$2432$)⩷∴($6033$⩁⩘$1458$⪬∳))","expression":"(≴∭⊉26615⨚⇆≴∭⊉11335⋾⨃∁≴∭⊉11654∇⊂⋱≴∭⊉3540⊭↱(⊿≴∭⊉24010≒∊≴∭⊉16451))⇡⇂((≴∭⊉4064⫯⪬∳≴∭⊉6604≓∲≴∭⊉12550⩌⋺≴∭⊉10043)⩷∴(≴∭⊉23406⩁⩘≴∭⊉4152⪬∳))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1181922,"operation_count":13,"complexity_ratio":90917.07692307692,"tree":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":7166,"base":7},"right_expr":{"type":"numeric_atoms","value":2917,"base":7}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":3077,"base":7},"right_expr":{"type":"numeric_atoms","value":1302,"base":7}}},"right_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":6181,"base":7},"right_expr":{"type":"numeric_atoms","value":4691,"base":7}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":1418,"base":7},"right_expr":{"type":"numeric_atoms","value":2356,"base":7}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":3367,"base":7},"right_expr":{"type":"numeric_atoms","value":2432,"base":7}}},"right_expr":{"type":"unary","operator":"⪬∳","unary_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":6033,"base":7},"right_expr":{"type":"numeric_atoms","value":1458,"base":7}}}}},"used_operators":["UMwdvZNt44","COABgblf1C","212REbPD9h","lwHaAYXP2r","nhYeJWJD5X","DO4fhlbJSI","5KTvxBwnZo","9FxExcQeMw","s1XTVnmDOJ","d7ASUq0ydm","g7Hmc5v1ko","O9U3z1385E","gub5Cegaqo"],"dependent_operators":["9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","W4YGzv6Whe","t8gj7n24qd","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","rysDP5nf3Z","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","FU0Cs4j7VP","ukq6epAj5P","k7HXdKtiEU","zVYPLywUTj","LYeZOJ0nQG","kuIXHzHcAH","tcjXMdvYtA","DpFCA1CohY","IWmyXbctLI"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=7166","layer":4},{"info":"number node, value=2917","layer":4},{"info":"compute binary expreesion, left_input=7166, right_input=2917, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"number node, value=3077","layer":4},{"info":"number node, value=1302","layer":4},{"info":"compute binary expreesion, left_input=3077, right_input=1302, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=5608","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5608, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=314429250","layer":2},{"info":"number node, value=6181","layer":4},{"info":"number node, value=4691","layer":4},{"info":"compute binary expreesion, left_input=6181, right_input=4691, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-5697","layer":3},{"info":"compute unary expreesion, input=-5697, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=24174","layer":2},{"info":"compute binary expreesion, left_input=314429250, right_input=24174, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-628810147","layer":1},{"info":"number node, value=1418","layer":4},{"info":"number node, value=2356","layer":4},{"info":"compute binary expreesion, left_input=1418, right_input=2356, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=4767","layer":3},{"info":"number node, value=3367","layer":4},{"info":"number node, value=2432","layer":4},{"info":"compute binary expreesion, left_input=3367, right_input=2432, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-5920","layer":3},{"info":"compute binary expreesion, left_input=4767, right_input=-5920, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=-66584","layer":2},{"info":"number node, value=6033","layer":4},{"info":"number node, value=1458","layer":4},{"info":"compute binary expreesion, left_input=6033, right_input=1458, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=6780","layer":3},{"info":"compute unary expreesion, input=6780, op_id = O9U3z1385E, unary_op_definition = 'a⪬∳ = { ((a∋a)⊪) , if ((a⪨⊡684)!=357 and (≘a)<480 and (⊲⪭a)>=673) ; (⫎≠⋺(a↛⩡⫤)) , else }', output=-709","layer":2},{"info":"compute binary expreesion, left_input=-66584, right_input=-709, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-131782","layer":1},{"info":"compute binary expreesion, left_input=-628810147, right_input=-131782, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉26615⨚⇆≴∭⊉11335⋾⨃∁≴∭⊉11654∇⊂⋱≴∭⊉3540⊭↱(⊿≴∭⊉24010≒∊≴∭⊉16451))⇡⇂((≴∭⊉4064⫯⪬∳≴∭⊉6604≓∲≴∭⊉12550⩌⋺≴∭⊉10043)⩷∴(≴∭⊉23406⩁⩘≴∭⊉4152⪬∳))=NaN","reverse_text":"NaN=(≴∭⊉26615⨚⇆≴∭⊉11335⋾⨃∁≴∭⊉11654∇⊂⋱≴∭⊉3540⊭↱(⊿≴∭⊉24010≒∊≴∭⊉16451))⇡⇂((≴∭⊉4064⫯⪬∳≴∭⊉6604≓∲≴∭⊉12550⩌⋺≴∭⊉10043)⩷∴(≴∭⊉23406⩁⩘≴∭⊉4152⪬∳))","cot":[{"info":"≴∭⊉26615⨚⇆≴∭⊉11335=NaN","layer":3},{"info":"≴∭⊉11654∇⊂⋱≴∭⊉3540=≴∭⊉22231","layer":3},{"info":"NaN⋾⨃∁≴∭⊉22231=≴∭⊉10535414232","layer":2},{"info":"≴∭⊉24010≒∊≴∭⊉16451=≴∭⊉-22416","layer":3},{"info":"⊿≴∭⊉-22416=≴∭⊉130323","layer":2},{"info":"≴∭⊉10535414232⊭↱≴∭⊉130323=≴∭⊉-21403540510","layer":1},{"info":"≴∭⊉4064⫯⪬∳≴∭⊉6604=≴∭⊉16620","layer":3},{"info":"≴∭⊉12550⩌⋺≴∭⊉10043=≴∭⊉-23155","layer":3},{"info":"≴∭⊉16620≓∲≴∭⊉-23155=≴∭⊉-365060","layer":2},{"info":"≴∭⊉23406⩁⩘≴∭⊉4152=≴∭⊉25524","layer":3},{"info":"≴∭⊉25524⪬∳=≴∭⊉-2032","layer":2},{"info":"≴∭⊉-365060⩷∴≴∭⊉-2032=≴∭⊉-1056130","layer":1},{"info":"≴∭⊉-21403540510⇡⇂≴∭⊉-1056130=NaN","layer":0}]}
+{"id":858,"expression_no_base_symbol":"(∤(⩩$4167$))⨸⪁((⪨⨬$2240$)∲⫓$3441$⩣⫁∢$1687$)⫔⩽⩺($1615$⫯⪬∳$1869$%(⊖$1609$))≦↸(⨝⨆(⊊≼∋$2550$))","expression":"(∤(⩩≴∭⊉15102))⨸⪁((⪨⨬≴∭⊉6350)∲⫓≴∭⊉13014⩣⫁∢≴∭⊉4630)⫔⩽⩺(≴∭⊉4465⫯⪬∳≴∭⊉5310%(⊖≴∭⊉4456))≦↸(⨝⨆(⊊≼∋≴∭⊉10302))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":7809,"operation_count":13,"complexity_ratio":600.6923076923077,"tree":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"numeric_atoms","value":4167,"base":7}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"numeric_atoms","value":2240,"base":7}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":3441,"base":7},"right_expr":{"type":"numeric_atoms","value":1687,"base":7}}}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":1615,"base":7},"right_expr":{"type":"numeric_atoms","value":1869,"base":7}},"right_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"numeric_atoms","value":1609,"base":7}}},"right_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"numeric_atoms","value":2550,"base":7}}}}},"used_operators":["i9eR4S00cU","g55IO6H4Gj","k2HlF1dBQh","kMhfGuqI2H","i8ToyICDmI","5obUd6DV38","JDUIKTTSIa","RygbFNSyEJ","k8jYdgA6NY","d7ASUq0ydm","U6pG0PXrV3","bQ67fsrMVf","FWz7pXsQhA"],"dependent_operators":["Tw270M8GLb","fu6greOZ01","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","W4YGzv6Whe","t8gj7n24qd","T2fj7uvVaJ","nlCqmYiOvY","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","rysDP5nf3Z","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","tifHPKVTfV","B5M0gjZbta","jCPkEVoL5K"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4167","layer":4},{"info":"compute unary expreesion, input=4167, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=nan","layer":2},{"info":"number node, value=2240","layer":4},{"info":"compute unary expreesion, input=2240, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":3},{"info":"number node, value=3441","layer":4},{"info":"number node, value=1687","layer":4},{"info":"compute binary expreesion, left_input=3441, right_input=1687, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-6721","layer":3},{"info":"compute binary expreesion, left_input=-526, right_input=-6721, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-526","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-526, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"number node, value=1615","layer":4},{"info":"number node, value=1869","layer":4},{"info":"compute binary expreesion, left_input=1615, right_input=1869, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=6239","layer":3},{"info":"number node, value=1609","layer":4},{"info":"compute unary expreesion, input=1609, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=6239, right_input=0, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=2550","layer":4},{"info":"compute unary expreesion, input=2550, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=-447","layer":3},{"info":"compute unary expreesion, input=-447, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=-656","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-656, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(∤(⩩≴∭⊉15102))⨸⪁((⪨⨬≴∭⊉6350)∲⫓≴∭⊉13014⩣⫁∢≴∭⊉4630)⫔⩽⩺(≴∭⊉4465⫯⪬∳≴∭⊉5310%(⊖≴∭⊉4456))≦↸(⨝⨆(⊊≼∋≴∭⊉10302))=NaN","reverse_text":"NaN=(∤(⩩≴∭⊉15102))⨸⪁((⪨⨬≴∭⊉6350)∲⫓≴∭⊉13014⩣⫁∢≴∭⊉4630)⫔⩽⩺(≴∭⊉4465⫯⪬∳≴∭⊉5310%(⊖≴∭⊉4456))≦↸(⨝⨆(⊊≼∋≴∭⊉10302))","cot":[{"info":"⩩≴∭⊉15102=NaN","layer":3},{"info":"∤NaN=NaN","layer":2},{"info":"⪨⨬≴∭⊉6350=≴∭⊉-1351","layer":3},{"info":"≴∭⊉13014⩣⫁∢≴∭⊉4630=≴∭⊉-25411","layer":3},{"info":"≴∭⊉-1351∲⫓≴∭⊉-25411=≴∭⊉-1351","layer":2},{"info":"NaN⨸⪁≴∭⊉-1351=NaN","layer":1},{"info":"≴∭⊉4465⫯⪬∳≴∭⊉5310=≴∭⊉24122","layer":3},{"info":"⊖≴∭⊉4456=≴∭⊉0","layer":3},{"info":"≴∭⊉24122%≴∭⊉0=NaN","layer":2},{"info":"⊊≼∋≴∭⊉10302=≴∭⊉-1206","layer":3},{"info":"⨝⨆≴∭⊉-1206=≴∭⊉-1625","layer":2},{"info":"NaN≦↸≴∭⊉-1625=NaN","layer":1},{"info":"NaN⫔⩽⩺NaN=NaN","layer":0}]}
+{"id":859,"expression_no_base_symbol":"⪁⇼(↩($1004$⪶≀⋏$7850$)≨($4410$↼⊘⨖$2117$))","expression":"⪁⇼(↩(≴∭⊉2633⪶≀⋏≴∭⊉31613)≨(≴∭⊉15600↼⊘⨖≴∭⊉6113))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":114425,"operation_count":5,"complexity_ratio":22885.0,"tree":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":1004,"base":7},"right_expr":{"type":"numeric_atoms","value":7850,"base":7}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":4410,"base":7},"right_expr":{"type":"numeric_atoms","value":2117,"base":7}}}}},"used_operators":["ZNVVrZ94lY","jLgFTUHLKL","0KMCeP1Jsh","zR4jO40bMj","bPywburJMS"],"dependent_operators":["sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd"],"result":"≴∭⊉1142","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1004","layer":4},{"info":"number node, value=7850","layer":4},{"info":"compute binary expreesion, left_input=1004, right_input=7850, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-18944","layer":3},{"info":"number node, value=4410","layer":4},{"info":"number node, value=2117","layer":4},{"info":"compute binary expreesion, left_input=4410, right_input=2117, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=4012","layer":3},{"info":"compute binary expreesion, left_input=-18944, right_input=4012, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=38544","layer":2},{"info":"compute unary expreesion, input=38544, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-305572","layer":1},{"info":"compute unary expreesion, input=-305572, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":0}],"base":7,"result_base":7,"text":"⪁⇼(↩(≴∭⊉2633⪶≀⋏≴∭⊉31613)≨(≴∭⊉15600↼⊘⨖≴∭⊉6113))=≴∭⊉1142","reverse_text":"≴∭⊉1142=⪁⇼(↩(≴∭⊉2633⪶≀⋏≴∭⊉31613)≨(≴∭⊉15600↼⊘⨖≴∭⊉6113))","cot":[{"info":"≴∭⊉2633⪶≀⋏≴∭⊉31613=≴∭⊉-106142","layer":3},{"info":"≴∭⊉15600↼⊘⨖≴∭⊉6113=≴∭⊉14461","layer":3},{"info":"≴∭⊉-106142≨≴∭⊉14461=≴∭⊉220242","layer":2},{"info":"↩≴∭⊉220242=≴∭⊉-2411611","layer":1},{"info":"⪁⇼≴∭⊉-2411611=≴∭⊉1142","layer":0}]}
+{"id":860,"expression_no_base_symbol":"⩏⊷≩(((⋼∭⪍$4279$)⫸⊐($2818$⫻⋑⊟))⩠)","expression":"⩏⊷≩(((⋼∭⪍≴∭⊉15322)⫸⊐(≴∭⊉11134⫻⋑⊟))⩠)","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":69,"operation_count":5,"complexity_ratio":13.8,"tree":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"numeric_atoms","value":4279,"base":7}},"right_expr":{"type":"unary","operator":"⫻⋑⊟","unary_expr":{"type":"numeric_atoms","value":2818,"base":7}}}}},"used_operators":["uOZ1tnYMDE","sJAwomhLZr","mqXw5SEYmG","DbCuESL50I","o575Zjdmzy"],"dependent_operators":["23Mk6UjR3U","12rbrZMWeM","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","rysDP5nf3Z","sdazOOVcIp","12rbrZMWeM","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI"],"result":"≴∭⊉1535","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4279","layer":4},{"info":"compute unary expreesion, input=4279, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-15376","layer":3},{"info":"number node, value=2818","layer":4},{"info":"compute unary expreesion, input=2818, op_id = o575Zjdmzy, unary_op_definition = 'a⫻⋑⊟ = { ((a⨸⪁(⨞⊢a))⪨≂((a∲⫓a)⋳⪒(265-a))) }', output=-5126","layer":3},{"info":"compute binary expreesion, left_input=-15376, right_input=-5126, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=968","layer":2},{"info":"compute unary expreesion, input=968, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=614","layer":0}],"base":7,"result_base":7,"text":"⩏⊷≩(((⋼∭⪍≴∭⊉15322)⫸⊐(≴∭⊉11134⫻⋑⊟))⩠)=≴∭⊉1535","reverse_text":"≴∭⊉1535=⩏⊷≩(((⋼∭⪍≴∭⊉15322)⫸⊐(≴∭⊉11134⫻⋑⊟))⩠)","cot":[{"info":"⋼∭⪍≴∭⊉15322=≴∭⊉-62554","layer":3},{"info":"≴∭⊉11134⫻⋑⊟=≴∭⊉-20642","layer":3},{"info":"≴∭⊉-62554⫸⊐≴∭⊉-20642=≴∭⊉2552","layer":2},{"info":"≴∭⊉2552⩠=≴∭⊉0","layer":1},{"info":"⩏⊷≩≴∭⊉0=≴∭⊉1535","layer":0}]}
+{"id":861,"expression_no_base_symbol":"($1315$⇽⩪)≠≀$1062$≴⪞⇿$6290$⪶≀⋏(⨵$5623$)∀⇚≩$3305$≦↸$4723$⪇≇⋚((≻⋜($1682$⊭↱$1742$))⪒$1186$∝$1338$⋻⩜⩜(↞≼$2398$))","expression":"(≴∭⊉3556⇽⩪)≠≀≴∭⊉3045≴⪞⇿≴∭⊉24224⪶≀⋏(⨵≴∭⊉22252)∀⇚≩≴∭⊉12431≦↸≴∭⊉16525⪇≇⋚((≻⋜(≴∭⊉4622⊭↱≴∭⊉5036))⪒≴∭⊉3313∝≴∭⊉3621⋻⩜⩜(↞≼≴∭⊉6664))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":588333,"operation_count":14,"complexity_ratio":42023.78571428572,"tree":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"unary","operator":"⇽⩪","unary_expr":{"type":"numeric_atoms","value":1315,"base":7}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":1062,"base":7},"right_expr":{"type":"numeric_atoms","value":6290,"base":7}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"numeric_atoms","value":5623,"base":7}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":3305,"base":7},"right_expr":{"type":"numeric_atoms","value":4723,"base":7}}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1682,"base":7},"right_expr":{"type":"numeric_atoms","value":1742,"base":7}}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":1186,"base":7},"right_expr":{"type":"numeric_atoms","value":1338,"base":7}},"right_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"numeric_atoms","value":2398,"base":7}}}}},"used_operators":["3sJ7IOPOlU","zR4jO40bMj","IwW236VD4Y","FonBHBYJbU","lvlrscuwVU","LRNGc0VcxI","Tl3Y52tvF8","RygbFNSyEJ","f6k1SAg4EE","3tj9sqzovi","COABgblf1C","oDCm7WA9JY","cTDWOvIxvz","DE7zCoGJt9"],"dependent_operators":["DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","W4YGzv6Whe","e1ybzncUwg","23Mk6UjR3U","tifHPKVTfV","g55IO6H4Gj","eewbuw0ToL","AF7qkfDlqP","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","X99M06cbEe","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","W4YGzv6Whe","t8gj7n24qd","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","W4YGzv6Whe","t8gj7n24qd","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","7j4O788W3g","W4YGzv6Whe","COABgblf1C","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1315","layer":4},{"info":"compute unary expreesion, input=1315, op_id = FonBHBYJbU, unary_op_definition = 'a⇽⩪ = { (((≉88)⨰(⨑⩽⪐a))⨸⪁((a+95)⇼⇔∾(a⋷a))) }', output=3152","layer":3},{"info":"number node, value=1062","layer":4},{"info":"number node, value=6290","layer":4},{"info":"compute binary expreesion, left_input=1062, right_input=6290, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=1245276","layer":3},{"info":"compute binary expreesion, left_input=3152, right_input=1245276, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-5998","layer":2},{"info":"number node, value=5623","layer":4},{"info":"compute unary expreesion, input=5623, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=-46193","layer":3},{"info":"number node, value=3305","layer":4},{"info":"number node, value=4723","layer":4},{"info":"compute binary expreesion, left_input=3305, right_input=4723, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-15375","layer":3},{"info":"compute binary expreesion, left_input=-46193, right_input=-15375, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-5998, right_input=nan, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=nan","layer":1},{"info":"number node, value=1682","layer":4},{"info":"number node, value=1742","layer":4},{"info":"compute binary expreesion, left_input=1682, right_input=1742, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=125","layer":3},{"info":"compute unary expreesion, input=125, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":2},{"info":"number node, value=1186","layer":4},{"info":"number node, value=1338","layer":4},{"info":"compute binary expreesion, left_input=1186, right_input=1338, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=1191","layer":3},{"info":"number node, value=2398","layer":4},{"info":"compute unary expreesion, input=2398, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=18770","layer":3},{"info":"compute binary expreesion, left_input=1191, right_input=18770, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=2382","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2382, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉3556⇽⩪)≠≀≴∭⊉3045≴⪞⇿≴∭⊉24224⪶≀⋏(⨵≴∭⊉22252)∀⇚≩≴∭⊉12431≦↸≴∭⊉16525⪇≇⋚((≻⋜(≴∭⊉4622⊭↱≴∭⊉5036))⪒≴∭⊉3313∝≴∭⊉3621⋻⩜⩜(↞≼≴∭⊉6664))=NaN","reverse_text":"NaN=(≴∭⊉3556⇽⩪)≠≀≴∭⊉3045≴⪞⇿≴∭⊉24224⪶≀⋏(⨵≴∭⊉22252)∀⇚≩≴∭⊉12431≦↸≴∭⊉16525⪇≇⋚((≻⋜(≴∭⊉4622⊭↱≴∭⊉5036))⪒≴∭⊉3313∝≴∭⊉3621⋻⩜⩜(↞≼≴∭⊉6664))","cot":[{"info":"≴∭⊉3556⇽⩪=≴∭⊉12122","layer":3},{"info":"≴∭⊉3045≴⪞⇿≴∭⊉24224=≴∭⊉13404354","layer":3},{"info":"≴∭⊉12122≠≀≴∭⊉13404354=≴∭⊉-23326","layer":2},{"info":"⨵≴∭⊉22252=≴∭⊉-251450","layer":3},{"info":"≴∭⊉12431≦↸≴∭⊉16525=≴∭⊉-62553","layer":3},{"info":"≴∭⊉-251450∀⇚≩≴∭⊉-62553=NaN","layer":2},{"info":"≴∭⊉-23326⪶≀⋏NaN=NaN","layer":1},{"info":"≴∭⊉4622⊭↱≴∭⊉5036=≴∭⊉236","layer":3},{"info":"≻⋜≴∭⊉236=NaN","layer":2},{"info":"≴∭⊉3313∝≴∭⊉3621=≴∭⊉3321","layer":3},{"info":"↞≼≴∭⊉6664=≴∭⊉105503","layer":3},{"info":"≴∭⊉3321⋻⩜⩜≴∭⊉105503=≴∭⊉6642","layer":2},{"info":"NaN⪒≴∭⊉6642=NaN","layer":1},{"info":"NaN⪇≇⋚NaN=NaN","layer":0}]}
+{"id":862,"expression_no_base_symbol":"(($3610$/$1481$)⫰⋱$3277$+⪬∐$2365$)⇌⫙⪟(≉$3893$+⪬∐$2843$)∷","expression":"((≴∭⊉13345/≴∭⊉4214)⫰⋱≴∭⊉12361+⪬∐≴∭⊉6616)⇌⫙⪟(≉≴∭⊉14231+⪬∐≴∭⊉11201)∷","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":43,"operation_count":7,"complexity_ratio":6.142857142857143,"tree":{"type":"unary","operator":"∷","unary_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":3610,"base":7},"right_expr":{"type":"numeric_atoms","value":1481,"base":7}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":3277,"base":7},"right_expr":{"type":"numeric_atoms","value":2365,"base":7}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":3893,"base":7},"right_expr":{"type":"numeric_atoms","value":2843,"base":7}}}}},"used_operators":["nFAOW8KTqp","AFVx7xoS7T","6o9Blt3TJ6","XhwjNDsVaA","2GS7woTJqF","e1ybzncUwg"],"dependent_operators":["D4vGDi5EA2","t8gj7n24qd","2DDjHMKMc0","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","rysDP5nf3Z","g55IO6H4Gj","D4vGDi5EA2","W4YGzv6Whe","t8gj7n24qd"],"result":"≴∭⊉661644","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3610","layer":4},{"info":"number node, value=1481","layer":4},{"info":"compute binary expreesion, left_input=3610, right_input=1481, op_id = XhwjNDsVaA binary_op_definition= 'None', output=2","layer":3},{"info":"number node, value=3277","layer":4},{"info":"number node, value=2365","layer":4},{"info":"compute binary expreesion, left_input=3277, right_input=2365, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-9831","layer":3},{"info":"compute binary expreesion, left_input=2, right_input=-9831, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=9896","layer":2},{"info":"number node, value=3893","layer":4},{"info":"number node, value=2843","layer":4},{"info":"compute binary expreesion, left_input=3893, right_input=2843, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-11679","layer":3},{"info":"compute unary expreesion, input=-11679, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=-11679","layer":2},{"info":"compute binary expreesion, left_input=9896, right_input=-11679, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=38639","layer":1},{"info":"compute unary expreesion, input=38639, op_id = nFAOW8KTqp, unary_op_definition = 'a∷ = { ((-(a⋝⋈⪟a))≦≮≮) }', output=115917","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉13345/≴∭⊉4214)⫰⋱≴∭⊉12361+⪬∐≴∭⊉6616)⇌⫙⪟(≉≴∭⊉14231+⪬∐≴∭⊉11201)∷=≴∭⊉661644","reverse_text":"≴∭⊉661644=((≴∭⊉13345/≴∭⊉4214)⫰⋱≴∭⊉12361+⪬∐≴∭⊉6616)⇌⫙⪟(≉≴∭⊉14231+⪬∐≴∭⊉11201)∷","cot":[{"info":"≴∭⊉13345/≴∭⊉4214=≴∭⊉2","layer":3},{"info":"≴∭⊉12361+⪬∐≴∭⊉6616=≴∭⊉-40443","layer":3},{"info":"≴∭⊉2⫰⋱≴∭⊉-40443=≴∭⊉40565","layer":2},{"info":"≴∭⊉14231+⪬∐≴∭⊉11201=≴∭⊉-46023","layer":3},{"info":"≉≴∭⊉-46023=≴∭⊉-46023","layer":2},{"info":"≴∭⊉40565⇌⫙⪟≴∭⊉-46023=≴∭⊉220436","layer":1},{"info":"≴∭⊉220436∷=≴∭⊉661644","layer":0}]}
+{"id":863,"expression_no_base_symbol":"((($1279$⊋≦⊧$2151$)⋛($7465$≧⫂∧$3972$))⫑)∳⫺(⇨((⋎⨆$4217$)+(⨴⫝$1760$)))","expression":"(((≴∭⊉3505⊋≦⊧≴∭⊉6162)⋛(≴∭⊉30523≧⫂∧≴∭⊉14403))⫑)∳⫺(⇨((⋎⨆≴∭⊉15203)+(⨴⫝≴∭⊉5063)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2191,"operation_count":9,"complexity_ratio":243.44444444444446,"tree":{"type":"binary","operator":"∳⫺","left_expr":{"type":"unary","operator":"⫑","unary_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":1279,"base":7},"right_expr":{"type":"numeric_atoms","value":2151,"base":7}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":7465,"base":7},"right_expr":{"type":"numeric_atoms","value":3972,"base":7}}}},"right_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"numeric_atoms","value":4217,"base":7}},"right_expr":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"numeric_atoms","value":1760,"base":7}}}}},"used_operators":["AzXXKTstlj","CgIo77xlM2","YbUVn0Rbpy","oRDoc9rAEX","Ph9nP6C5qx","G9tJMlZ94a","W4YGzv6Whe","E64sFOc4tB","SVb2v531z1"],"dependent_operators":["F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","cWQsF5MvuD","zR4jO40bMj","SUmda5xLS4","DZ8iAZOCBD","PxpmPgHHJV","ocnLzx9CaJ","Z5m6OM72h2","mqXw5SEYmG","8cLx32lpNA","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf"],"result":"≴∭⊉-5263","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1279","layer":4},{"info":"number node, value=2151","layer":4},{"info":"compute binary expreesion, left_input=1279, right_input=2151, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=-3190","layer":3},{"info":"number node, value=7465","layer":4},{"info":"number node, value=3972","layer":4},{"info":"compute binary expreesion, left_input=7465, right_input=3972, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3499","layer":3},{"info":"compute binary expreesion, left_input=-3190, right_input=3499, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-133791","layer":2},{"info":"compute unary expreesion, input=-133791, op_id = CgIo77xlM2, unary_op_definition = 'a⫑ = { (((a⊉≛↸377)⩼⇪↪(a∘a))⪄(841⪶≀⋏a)) , if (a⫸⊐7)<631 ; ((↓⇌(a∌a))⨌↪) , else }', output=-480","layer":1},{"info":"number node, value=4217","layer":4},{"info":"compute unary expreesion, input=4217, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=0","layer":3},{"info":"number node, value=1760","layer":4},{"info":"compute unary expreesion, input=1760, op_id = SVb2v531z1, unary_op_definition = '⨴⫝a = { ((⪨⨬(⇋↷a))≬⇓((a⋅⇍a)⨑≵⋬(∡178))) , if (a⪇≇⋚963)!=62 ; (((541⋛107)⩼⇪↪(⪭⩑⪱a))⋻⩜⩜((a⊕∕a)∼(459⨽6))) , else }', output=2828198","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2828198, op_id = W4YGzv6Whe binary_op_definition= 'None', output=2828198","layer":2},{"info":"compute unary expreesion, input=2828198, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-480, right_input=0, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-1858","layer":0}],"base":7,"result_base":7,"text":"(((≴∭⊉3505⊋≦⊧≴∭⊉6162)⋛(≴∭⊉30523≧⫂∧≴∭⊉14403))⫑)∳⫺(⇨((⋎⨆≴∭⊉15203)+(⨴⫝≴∭⊉5063)))=≴∭⊉-5263","reverse_text":"≴∭⊉-5263=(((≴∭⊉3505⊋≦⊧≴∭⊉6162)⋛(≴∭⊉30523≧⫂∧≴∭⊉14403))⫑)∳⫺(⇨((⋎⨆≴∭⊉15203)+(⨴⫝≴∭⊉5063)))","cot":[{"info":"≴∭⊉3505⊋≦⊧≴∭⊉6162=≴∭⊉-12205","layer":3},{"info":"≴∭⊉30523≧⫂∧≴∭⊉14403=≴∭⊉13126","layer":3},{"info":"≴∭⊉-12205⋛≴∭⊉13126=≴∭⊉-1065030","layer":2},{"info":"≴∭⊉-1065030⫑=≴∭⊉-1254","layer":1},{"info":"⋎⨆≴∭⊉15203=≴∭⊉0","layer":3},{"info":"⨴⫝≴∭⊉5063=≴∭⊉33016322","layer":3},{"info":"≴∭⊉0+≴∭⊉33016322=≴∭⊉33016322","layer":2},{"info":"⇨≴∭⊉33016322=≴∭⊉0","layer":1},{"info":"≴∭⊉-1254∳⫺≴∭⊉0=≴∭⊉-5263","layer":0}]}
+{"id":864,"expression_no_base_symbol":"(⫇($1122$∑⇟⊟$2880$))⪝(($1362$⪊≅)↡⊰⫅($1228$⇽⩪))⩦($2115$⪨⊡$6509$⊹∫⫚$1227$⊝⪿⪼$4757$⊠≄⫣)","expression":"(⫇(≴∭⊉3162∑⇟⊟≴∭⊉11253))⪝((≴∭⊉3654⪊≅)↡⊰⫅(≴∭⊉3403⇽⩪))⩦(≴∭⊉6111⪨⊡≴∭⊉24656⊹∫⫚≴∭⊉3402⊝⪿⪼≴∭⊉16604⊠≄⫣)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":42499,"operation_count":11,"complexity_ratio":3863.5454545454545,"tree":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1122,"base":7},"right_expr":{"type":"numeric_atoms","value":2880,"base":7}}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"unary","operator":"⪊≅","unary_expr":{"type":"numeric_atoms","value":1362,"base":7}},"right_expr":{"type":"unary","operator":"⇽⩪","unary_expr":{"type":"numeric_atoms","value":1228,"base":7}}}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":2115,"base":7},"right_expr":{"type":"numeric_atoms","value":6509,"base":7}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":1227,"base":7},"right_expr":{"type":"numeric_atoms","value":4757,"base":7}}}}},"used_operators":["0kmYd0q39Y","wicAB68Tmb","YjI8oCXuph","U7g4x0WXJJ","VCtxkLNOzz","bjFbhXSADs","FonBHBYJbU","DIvbN7qnHd","uWAJUKEvyW","kuIXHzHcAH","3Oe9XWJUTD"],"dependent_operators":["N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","COABgblf1C","JLbD19bQDL","nCS4ZIUYfx","W4YGzv6Whe","e1ybzncUwg","23Mk6UjR3U","tifHPKVTfV","g55IO6H4Gj","eewbuw0ToL","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1122","layer":4},{"info":"number node, value=2880","layer":4},{"info":"compute binary expreesion, left_input=1122, right_input=2880, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=nan","layer":2},{"info":"number node, value=1362","layer":4},{"info":"compute unary expreesion, input=1362, op_id = bjFbhXSADs, unary_op_definition = 'a⪊≅ = { (377⪠⩆⊳) , if (a⊭↱876)>=867 ; (a⨳⩥⨓a) , else }', output=0","layer":3},{"info":"number node, value=1228","layer":4},{"info":"compute unary expreesion, input=1228, op_id = FonBHBYJbU, unary_op_definition = 'a⇽⩪ = { (((≉88)⨰(⨑⩽⪐a))⨸⪁((a+95)⇼⇔∾(a⋷a))) }', output=2978","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2978, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=5956","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=5956, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=nan","layer":1},{"info":"number node, value=2115","layer":4},{"info":"number node, value=6509","layer":4},{"info":"compute binary expreesion, left_input=2115, right_input=6509, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=1227","layer":4},{"info":"number node, value=4757","layer":4},{"info":"compute binary expreesion, left_input=1227, right_input=4757, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=28337","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=28337, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-304","layer":2},{"info":"compute unary expreesion, input=-304, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(⫇(≴∭⊉3162∑⇟⊟≴∭⊉11253))⪝((≴∭⊉3654⪊≅)↡⊰⫅(≴∭⊉3403⇽⩪))⩦(≴∭⊉6111⪨⊡≴∭⊉24656⊹∫⫚≴∭⊉3402⊝⪿⪼≴∭⊉16604⊠≄⫣)=NaN","reverse_text":"NaN=(⫇(≴∭⊉3162∑⇟⊟≴∭⊉11253))⪝((≴∭⊉3654⪊≅)↡⊰⫅(≴∭⊉3403⇽⩪))⩦(≴∭⊉6111⪨⊡≴∭⊉24656⊹∫⫚≴∭⊉3402⊝⪿⪼≴∭⊉16604⊠≄⫣)","cot":[{"info":"≴∭⊉3162∑⇟⊟≴∭⊉11253=NaN","layer":3},{"info":"⫇NaN=NaN","layer":2},{"info":"≴∭⊉3654⪊≅=≴∭⊉0","layer":3},{"info":"≴∭⊉3403⇽⩪=≴∭⊉11453","layer":3},{"info":"≴∭⊉0↡⊰⫅≴∭⊉11453=≴∭⊉23236","layer":2},{"info":"NaN⪝≴∭⊉23236=NaN","layer":1},{"info":"≴∭⊉6111⪨⊡≴∭⊉24656=≴∭⊉0","layer":3},{"info":"≴∭⊉3402⊝⪿⪼≴∭⊉16604=≴∭⊉145421","layer":3},{"info":"≴∭⊉0⊹∫⫚≴∭⊉145421=≴∭⊉-613","layer":2},{"info":"≴∭⊉-613⊠≄⫣=≴∭⊉0","layer":1},{"info":"NaN⩦≴∭⊉0=NaN","layer":0}]}
+{"id":865,"expression_no_base_symbol":"((⨞⊢$5405$)⨑≵⋬$1561$⪛$4741$)≝⊿(($2223$⫌⩉⩟$2693$)∠⫱$3387$⩒⫫$1277$)⨎(⋣($2856$↼⊘⨖$4022$)↹⊜($5679$⨪↰⇹$5797$))","expression":"((⨞⊢≴∭⊉21521)⨑≵⋬≴∭⊉4360⪛≴∭⊉16552)≝⊿((≴∭⊉6324⫌⩉⩟≴∭⊉10565)∠⫱≴∭⊉12606⩒⫫≴∭⊉3503)⨎(⋣(≴∭⊉11220↼⊘⨖≴∭⊉14504)↹⊜(≴∭⊉22362⨪↰⇹≴∭⊉22621))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":20634,"operation_count":12,"complexity_ratio":1719.5,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":5405,"base":7}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1561,"base":7},"right_expr":{"type":"numeric_atoms","value":4741,"base":7}}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":2223,"base":7},"right_expr":{"type":"numeric_atoms","value":2693,"base":7}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":3387,"base":7},"right_expr":{"type":"numeric_atoms","value":1277,"base":7}}}},"right_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":2856,"base":7},"right_expr":{"type":"numeric_atoms","value":4022,"base":7}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":5679,"base":7},"right_expr":{"type":"numeric_atoms","value":5797,"base":7}}}}},"used_operators":["rJVOvQCfKK","OKKcZfAt5B","XnXgA4xnOs","xUOZtlo3hN","uFcxV4UQCh","QvoQhV0rrE","XIIwhv8d0m","KFSx94NKJn","zQWRhDnn8F","9bazX3JMtO","bPywburJMS","tmPS8pqC7x"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","12rbrZMWeM","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","rJVOvQCfKK"],"result":"≴∭⊉-221","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5405","layer":4},{"info":"compute unary expreesion, input=5405, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-5579","layer":3},{"info":"number node, value=1561","layer":4},{"info":"number node, value=4741","layer":4},{"info":"compute binary expreesion, left_input=1561, right_input=4741, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1561","layer":3},{"info":"compute binary expreesion, left_input=-5579, right_input=1561, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-37443","layer":2},{"info":"number node, value=2223","layer":4},{"info":"number node, value=2693","layer":4},{"info":"compute binary expreesion, left_input=2223, right_input=2693, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"number node, value=3387","layer":4},{"info":"number node, value=1277","layer":4},{"info":"compute binary expreesion, left_input=3387, right_input=1277, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=3085","layer":3},{"info":"compute binary expreesion, left_input=-50, right_input=3085, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=-37443, right_input=1234, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=34442","layer":1},{"info":"number node, value=2856","layer":4},{"info":"number node, value=4022","layer":4},{"info":"compute binary expreesion, left_input=2856, right_input=4022, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=7822","layer":3},{"info":"number node, value=5679","layer":4},{"info":"number node, value=5797","layer":4},{"info":"compute binary expreesion, left_input=5679, right_input=5797, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=5679","layer":3},{"info":"compute binary expreesion, left_input=7822, right_input=5679, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-7168","layer":2},{"info":"compute unary expreesion, input=-7168, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-113","layer":1},{"info":"compute binary expreesion, left_input=34442, right_input=-113, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-113","layer":0}],"base":7,"result_base":7,"text":"((⨞⊢≴∭⊉21521)⨑≵⋬≴∭⊉4360⪛≴∭⊉16552)≝⊿((≴∭⊉6324⫌⩉⩟≴∭⊉10565)∠⫱≴∭⊉12606⩒⫫≴∭⊉3503)⨎(⋣(≴∭⊉11220↼⊘⨖≴∭⊉14504)↹⊜(≴∭⊉22362⨪↰⇹≴∭⊉22621))=≴∭⊉-221","reverse_text":"≴∭⊉-221=((⨞⊢≴∭⊉21521)⨑≵⋬≴∭⊉4360⪛≴∭⊉16552)≝⊿((≴∭⊉6324⫌⩉⩟≴∭⊉10565)∠⫱≴∭⊉12606⩒⫫≴∭⊉3503)⨎(⋣(≴∭⊉11220↼⊘⨖≴∭⊉14504)↹⊜(≴∭⊉22362⨪↰⇹≴∭⊉22621))","cot":[{"info":"⨞⊢≴∭⊉21521=≴∭⊉-22160","layer":3},{"info":"≴∭⊉4360⪛≴∭⊉16552=≴∭⊉4360","layer":3},{"info":"≴∭⊉-22160⨑≵⋬≴∭⊉4360=≴∭⊉-214110","layer":2},{"info":"≴∭⊉6324⫌⩉⩟≴∭⊉10565=≴∭⊉-101","layer":3},{"info":"≴∭⊉12606⩒⫫≴∭⊉3503=≴∭⊉11665","layer":3},{"info":"≴∭⊉-101∠⫱≴∭⊉11665=≴∭⊉3412","layer":2},{"info":"≴∭⊉-214110≝⊿≴∭⊉3412=≴∭⊉202262","layer":1},{"info":"≴∭⊉11220↼⊘⨖≴∭⊉14504=≴∭⊉31543","layer":3},{"info":"≴∭⊉22362⨪↰⇹≴∭⊉22621=≴∭⊉22362","layer":3},{"info":"≴∭⊉31543↹⊜≴∭⊉22362=≴∭⊉-26620","layer":2},{"info":"⋣≴∭⊉-26620=≴∭⊉-221","layer":1},{"info":"≴∭⊉202262⨎≴∭⊉-221=≴∭⊉-221","layer":0}]}
+{"id":866,"expression_no_base_symbol":"(∤↝(→⩰$2358$))≌(⊿($6859$⊿∆))⨼⩣($1026$∊∟⩊$1554$⫉⨲⊜$1802$∥⊢⊲$1883$⪁(⩒∊$1260$⇡⇂$2479$))","expression":"(∤↝(→⩰≴∭⊉6606))≌(⊿(≴∭⊉25666⊿∆))⨼⩣(≴∭⊉2664∊∟⩊≴∭⊉4350⫉⨲⊜≴∭⊉5153∥⊢⊲≴∭⊉5330⪁(⩒∊≴∭⊉3450⇡⇂≴∭⊉10141))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":72791,"operation_count":12,"complexity_ratio":6065.916666666667,"tree":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"numeric_atoms","value":2358,"base":7}}},"right_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"unary","operator":"⊿∆","unary_expr":{"type":"numeric_atoms","value":6859,"base":7}}}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":1026,"base":7},"right_expr":{"type":"numeric_atoms","value":1554,"base":7}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":1802,"base":7},"right_expr":{"type":"numeric_atoms","value":1883,"base":7}}},"right_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":1260,"base":7},"right_expr":{"type":"numeric_atoms","value":2479,"base":7}}}}},"used_operators":["JxwMv5le6e","lyWz822IDG","3UMq87Qwqg","o8Pngz0Tml","DO4fhlbJSI","fv3ZujxkQL","I7sXao9hZE","WhqkvtTD3t","ddLRYrp01A","v1UQAVDJRr","qazvmhNBbN","UMwdvZNt44"],"dependent_operators":["uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","NTOWxs364D","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","eewbuw0ToL","zVYPLywUTj","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","EBcxylXtPf","rGHVDoGpnC","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2358","layer":4},{"info":"compute unary expreesion, input=2358, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 3UMq87Qwqg, unary_op_definition = '∤↝a = { a , if ((a⊬⨰244)<=56 or (⫇a)>308 or (a⨐673)<=60) ; (((↩⪖a)⩼⇪↪(57∝206))↺(↩(⊲⪭a))) , else }', output=nan","layer":2},{"info":"number node, value=6859","layer":4},{"info":"compute unary expreesion, input=6859, op_id = fv3ZujxkQL, unary_op_definition = 'a⊿∆ = { (a⩚⊴⇥a) }', output=-13839","layer":3},{"info":"compute unary expreesion, input=-13839, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=56742","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=56742, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16��)↬(a⊟⇱))) , else }', output=nan","layer":1},{"info":"number node, value=1026","layer":4},{"info":"number node, value=1554","layer":4},{"info":"compute binary expreesion, left_input=1026, right_input=1554, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=1554","layer":3},{"info":"number node, value=1802","layer":4},{"info":"number node, value=1883","layer":4},{"info":"compute binary expreesion, left_input=1802, right_input=1883, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1554, right_input=nan, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":2},{"info":"number node, value=1260","layer":4},{"info":"number node, value=2479","layer":4},{"info":"compute binary expreesion, left_input=1260, right_input=2479, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(∤↝(→⩰≴∭⊉6606))≌(⊿(≴∭⊉25666⊿∆))⨼⩣(≴∭⊉2664∊∟⩊≴∭⊉4350⫉⨲⊜≴∭⊉5153∥⊢⊲≴∭⊉5330⪁(⩒∊≴∭⊉3450⇡⇂≴∭⊉10141))=NaN","reverse_text":"NaN=(∤↝(→⩰≴∭⊉6606))≌(⊿(≴∭⊉25666⊿∆))⨼⩣(≴∭⊉2664∊∟⩊≴∭⊉4350⫉⨲⊜≴∭⊉5153∥⊢⊲≴∭⊉5330⪁(⩒∊≴∭⊉3450⇡⇂≴∭⊉10141))","cot":[{"info":"→⩰≴∭⊉6606=NaN","layer":3},{"info":"∤↝NaN=NaN","layer":2},{"info":"≴∭⊉25666⊿∆=≴∭⊉-55230","layer":3},{"info":"⊿≴∭⊉-55230=≴∭⊉324300","layer":2},{"info":"NaN≌≴∭⊉324300=NaN","layer":1},{"info":"≴∭⊉2664∊∟⩊≴∭⊉4350=≴∭⊉4350","layer":3},{"info":"≴∭⊉5153∥⊢⊲≴∭⊉5330=NaN","layer":3},{"info":"≴∭⊉4350⫉⨲⊜NaN=≴∭⊉0","layer":2},{"info":"≴∭⊉3450⇡⇂≴∭⊉10141=NaN","layer":3},{"info":"⩒∊NaN=NaN","layer":2},{"info":"≴∭⊉0⪁NaN=≴∭⊉0","layer":1},{"info":"NaN⨼⩣≴∭⊉0=NaN","layer":0}]}
+{"id":867,"expression_no_base_symbol":"≀↧⇸((⋃$5628$)⨽$1745$≒∊$2204$)⪎↠($3941$⫣⪄⊒$4856$⫡⨏$8964$⋹⋡⊁$1351$)","expression":"≀↧⇸((⋃≴∭⊉22260)⨽≴∭⊉5042≒∊≴∭⊉6266)⪎↠(≴∭⊉14330⫣⪄⊒≴∭⊉20105⫡⨏≴∭⊉35064⋹⋡⊁≴∭⊉3640)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":73955,"operation_count":8,"complexity_ratio":9244.375,"tree":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"numeric_atoms","value":5628,"base":7}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":1745,"base":7},"right_expr":{"type":"numeric_atoms","value":2204,"base":7}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":3941,"base":7},"right_expr":{"type":"numeric_atoms","value":4856,"base":7}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":8964,"base":7},"right_expr":{"type":"numeric_atoms","value":1351,"base":7}}}}},"used_operators":["ljTHtUsqzn","3tVxb0NHM4","8HhzD0ZcuI","3mBM5G4a3l","5KTvxBwnZo","QMFrweE19q","RabNbG55vr","As8RqfVLgs"],"dependent_operators":["XPYlsWDdGa","23Mk6UjR3U","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","g55IO6H4Gj","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux"],"result":"≴∭⊉433","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5628","layer":4},{"info":"compute unary expreesion, input=5628, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=11358","layer":3},{"info":"number node, value=1745","layer":4},{"info":"number node, value=2204","layer":4},{"info":"compute binary expreesion, left_input=1745, right_input=2204, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-1261","layer":3},{"info":"compute binary expreesion, left_input=11358, right_input=-1261, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-387007395","layer":2},{"info":"number node, value=3941","layer":4},{"info":"number node, value=4856","layer":4},{"info":"compute binary expreesion, left_input=3941, right_input=4856, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-21766","layer":3},{"info":"number node, value=8964","layer":4},{"info":"number node, value=1351","layer":4},{"info":"compute binary expreesion, left_input=8964, right_input=1351, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=2101","layer":3},{"info":"compute binary expreesion, left_input=-21766, right_input=2101, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=-103845","layer":2},{"info":"compute binary expreesion, left_input=-387007395, right_input=-103845, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=-55","layer":1},{"info":"compute unary expreesion, input=-55, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=220","layer":0}],"base":7,"result_base":7,"text":"≀↧⇸((⋃≴∭⊉22260)⨽≴∭⊉5042≒∊≴∭⊉6266)⪎↠(≴∭⊉14330⫣⪄⊒≴∭⊉20105⫡⨏≴∭⊉35064⋹⋡⊁≴∭⊉3640)=≴∭⊉433","reverse_text":"≴∭⊉433=≀↧⇸((⋃≴∭⊉22260)⨽≴∭⊉5042≒∊≴∭⊉6266)⪎↠(≴∭⊉14330⫣⪄⊒≴∭⊉20105⫡⨏≴∭⊉35064⋹⋡⊁≴∭⊉3640)","cot":[{"info":"⋃≴∭⊉22260=≴∭⊉45054","layer":3},{"info":"≴∭⊉5042≒∊≴∭⊉6266=≴∭⊉-3451","layer":3},{"info":"≴∭⊉45054⨽≴∭⊉-3451=≴∭⊉-12406336305","layer":2},{"info":"≴∭⊉14330⫣⪄⊒≴∭⊉20105=≴∭⊉-120313","layer":3},{"info":"≴∭⊉35064⋹⋡⊁≴∭⊉3640=≴∭⊉6061","layer":3},{"info":"≴∭⊉-120313⫡⨏≴∭⊉6061=≴∭⊉-611520","layer":2},{"info":"≴∭⊉-12406336305⪎↠≴∭⊉-611520=≴∭⊉-106","layer":1},{"info":"≀↧⇸≴∭⊉-106=≴∭⊉433","layer":0}]}
+{"id":868,"expression_no_base_symbol":"(($1599$⫉⨲⊜$1590$⫃⨇$1599$⪟⇏$1162$)⊵↤)⋫","expression":"((≴∭⊉4443⫉⨲⊜≴∭⊉4431⫃⨇≴∭⊉4443⪟⇏≴∭⊉3250)⊵↤)⋫","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":209,"operation_count":5,"complexity_ratio":41.8,"tree":{"type":"unary","operator":"⋫","unary_expr":{"type":"unary","operator":"⊵↤","unary_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":1599,"base":7},"right_expr":{"type":"numeric_atoms","value":1590,"base":7}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":1599,"base":7},"right_expr":{"type":"numeric_atoms","value":1162,"base":7}}}}},"used_operators":["JL8yIekQnl","7IPrd9c3lf","09Ly4LVMIf","WhqkvtTD3t","GODebY97qR"],"dependent_operators":["tmPS8pqC7x","eLAdDNolq6","W4YGzv6Whe","9FxExcQeMw","Qy55tPpLXF","BjRHVeLaeN","tifHPKVTfV","2DDjHMKMc0","f6k1SAg4EE","Z2TMIBDE3Q","eewbuw0ToL","QMFrweE19q","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","eewbuw0ToL","zVYPLywUTj","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X"],"result":"≴∭⊉-211","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1599","layer":4},{"info":"number node, value=1590","layer":4},{"info":"compute binary expreesion, left_input=1599, right_input=1590, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"number node, value=1599","layer":4},{"info":"number node, value=1162","layer":4},{"info":"compute binary expreesion, left_input=1599, right_input=1162, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-1, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-28","layer":2},{"info":"compute unary expreesion, input=-28, op_id = 7IPrd9c3lf, unary_op_definition = 'a⊵↤ = { (((a⪒a)+a)⇼⇔∾((a⫡⨏a)⩤)) , if (a!=425 and (≤/a)>523) ; (((a⫩⊇)⨰(a⋥≓≎a))⋥≓≎((a⩷∴a)⋝⋈⪟(a⩷∴a))) , else }', output=-106","layer":1},{"info":"compute unary expreesion, input=-106, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=-106","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉4443⫉⨲⊜≴∭⊉4431⫃⨇≴∭⊉4443⪟⇏≴∭⊉3250)⊵↤)⋫=≴∭⊉-211","reverse_text":"≴∭⊉-211=((≴∭⊉4443⫉⨲⊜≴∭⊉4431⫃⨇≴∭⊉4443⪟⇏≴∭⊉3250)⊵↤)⋫","cot":[{"info":"≴∭⊉4443⫉⨲⊜≴∭⊉4431=≴∭⊉0","layer":3},{"info":"≴∭⊉4443⪟⇏≴∭⊉3250=≴∭⊉-1","layer":3},{"info":"≴∭⊉0⫃⨇≴∭⊉-1=≴∭⊉-40","layer":2},{"info":"≴∭⊉-40⊵↤=≴∭⊉-211","layer":1},{"info":"≴∭⊉-211⋫=≴∭⊉-211","layer":0}]}
+{"id":869,"expression_no_base_symbol":"≋((($2370$⇞)∟)⊔($3616$⪍↜⋙$4599$)≠≀($1736$⨐⩸⫘$2993$))","expression":"≋(((≴∭⊉6624⇞)∟)⊔(≴∭⊉13354⪍↜⋙≴∭⊉16260)≠≀(≴∭⊉5030⨐⩸⫘≴∭⊉11504))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":122,"operation_count":7,"complexity_ratio":17.428571428571427,"tree":{"type":"unary","operator":"≋","unary_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"unary","operator":"∟","unary_expr":{"type":"unary","operator":"⇞","unary_expr":{"type":"numeric_atoms","value":2370,"base":7}}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":3616,"base":7},"right_expr":{"type":"numeric_atoms","value":4599,"base":7}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1736,"base":7},"right_expr":{"type":"numeric_atoms","value":2993,"base":7}}}}},"used_operators":["61wBmkZwlr","E4l6HwMY31","hTbEZDJLEm","5JYyxRJd4f","IwW236VD4Y","L05ObWFQCd","fu6greOZ01"],"dependent_operators":["7j4O788W3g","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","KPf6cnQVty","zVYPLywUTj","AFVx7xoS7T","9FxExcQeMw","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","QMFrweE19q","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","3ViojmjbAp"],"result":"≴∭⊉2244141","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2370","layer":4},{"info":"compute unary expreesion, input=2370, op_id = 5JYyxRJd4f, unary_op_definition = 'a⇞ = { (a≧⫂∧((a⩷∴a)⨸⪁(a-a))) , if a<7 ; ((⨞⊢(a∲⫓a))⫡⨏(a⊉≛↸(a⇼⇔∾a))) , else }', output=9393","layer":3},{"info":"compute unary expreesion, input=9393, op_id = hTbEZDJLEm, unary_op_definition = 'a∟ = { ((58∺≝⩲a)⇌⫙⪟(a⊪)) }', output=113","layer":2},{"info":"number node, value=3616","layer":4},{"info":"number node, value=4599","layer":4},{"info":"compute binary expreesion, left_input=3616, right_input=4599, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-28061","layer":3},{"info":"number node, value=1736","layer":4},{"info":"number node, value=2993","layer":4},{"info":"compute binary expreesion, left_input=1736, right_input=2993, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-28061, right_input=nan, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=56428","layer":2},{"info":"compute binary expreesion, left_input=113, right_input=56428, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=279966","layer":1},{"info":"compute unary expreesion, input=279966, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=279966","layer":0}],"base":7,"result_base":7,"text":"≋(((≴∭⊉6624⇞)∟)⊔(≴∭⊉13354⪍↜⋙≴∭⊉16260)≠≀(≴∭⊉5030⨐⩸⫘≴∭⊉11504))=≴∭⊉2244141","reverse_text":"≴∭⊉2244141=≋(((≴∭⊉6624⇞)∟)⊔(≴∭⊉13354⪍↜⋙≴∭⊉16260)≠≀(≴∭⊉5030⨐⩸⫘≴∭⊉11504))","cot":[{"info":"≴∭⊉6624⇞=≴∭⊉36246","layer":3},{"info":"≴∭⊉36246∟=≴∭⊉221","layer":2},{"info":"≴∭⊉13354⪍↜⋙≴∭⊉16260=≴∭⊉-144545","layer":3},{"info":"≴∭⊉5030⨐⩸⫘≴∭⊉11504=NaN","layer":3},{"info":"≴∭⊉-144545≠≀NaN=≴∭⊉323341","layer":2},{"info":"≴∭⊉221⊔≴∭⊉323341=≴∭⊉2244141","layer":1},{"info":"≋≴∭⊉2244141=≴∭⊉2244141","layer":0}]}
+{"id":870,"expression_no_base_symbol":"(($5635$∠⫱$1627$)⫽⇹≛)⊴($3327$+$1399$)⋹⋡⊁($1683$⫸⊐$5275$)↼⊘⨖((⩪∧⨌$2011$)⪛⫼(⊄⩳↩$1440$)⋭≵(⊈$2206$⊮⊟↴$3169$))","expression":"((≴∭⊉22300∠⫱≴∭⊉4513)⫽⇹≛)⊴(≴∭⊉12462+≴∭⊉4036)⋹⋡⊁(≴∭⊉4623⫸⊐≴∭⊉21244)↼⊘⨖((⩪∧⨌≴∭⊉5602)⪛⫼(⊄⩳↩≴∭⊉4125)⋭≵(⊈≴∭⊉6301⊮⊟↴≴∭⊉12145))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":84917,"operation_count":13,"complexity_ratio":6532.076923076923,"tree":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⫽⇹≛","unary_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":5635,"base":7},"right_expr":{"type":"numeric_atoms","value":1627,"base":7}}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":3327,"base":7},"right_expr":{"type":"numeric_atoms","value":1399,"base":7}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1683,"base":7},"right_expr":{"type":"numeric_atoms","value":5275,"base":7}}}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"numeric_atoms","value":2011,"base":7}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1440,"base":7}}},"right_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":2206,"base":7},"right_expr":{"type":"numeric_atoms","value":3169,"base":7}}}}},"used_operators":["bPywburJMS","Nsiff2A1zJ","NNaDxxp6OQ","QvoQhV0rrE","As8RqfVLgs","W4YGzv6Whe","mqXw5SEYmG","jBncVCNhdl","hyuBjUqXlG","6iOiAJX1F8","8w2t5hMYqp","RHru8klgy8","QDVgd2eftb"],"dependent_operators":["9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","KbjG8mgYpV","AdZkA7nFnk","IWmyXbctLI","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","12rbrZMWeM","xUOZtlo3hN","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK"],"result":"≴∭⊉-154","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5635","layer":4},{"info":"number node, value=1627","layer":4},{"info":"compute binary expreesion, left_input=5635, right_input=1627, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = NNaDxxp6OQ, unary_op_definition = 'a⫽⇹≛ = { ((113⋅⇍170)⪮%⊝(a∠↢a)) }', output=272","layer":2},{"info":"number node, value=3327","layer":4},{"info":"number node, value=1399","layer":4},{"info":"compute binary expreesion, left_input=3327, right_input=1399, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4726","layer":3},{"info":"number node, value=1683","layer":4},{"info":"number node, value=5275","layer":4},{"info":"compute binary expreesion, left_input=1683, right_input=5275, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=20975","layer":3},{"info":"compute binary expreesion, left_input=4726, right_input=20975, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=21725","layer":2},{"info":"compute binary expreesion, left_input=272, right_input=21725, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=2011","layer":4},{"info":"compute unary expreesion, input=2011, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=20110","layer":3},{"info":"number node, value=1440","layer":4},{"info":"compute unary expreesion, input=1440, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-4320","layer":3},{"info":"compute binary expreesion, left_input=20110, right_input=-4320, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=-1153","layer":2},{"info":"number node, value=2206","layer":4},{"info":"number node, value=3169","layer":4},{"info":"compute binary expreesion, left_input=2206, right_input=3169, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-174","layer":2},{"info":"compute binary expreesion, left_input=-1153, right_input=-174, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=-88","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉22300∠⫱≴∭⊉4513)⫽⇹≛)⊴(≴∭⊉12462+≴∭⊉4036)⋹⋡⊁(≴∭⊉4623⫸⊐≴∭⊉21244)↼⊘⨖((⩪∧⨌≴∭⊉5602)⪛⫼(⊄⩳↩≴∭⊉4125)⋭≵(⊈≴∭⊉6301⊮⊟↴≴∭⊉12145))=≴∭⊉-154","reverse_text":"≴∭⊉-154=((≴∭⊉22300∠⫱≴∭⊉4513)⫽⇹≛)⊴(≴∭⊉12462+≴∭⊉4036)⋹⋡⊁(≴∭⊉4623⫸⊐≴∭⊉21244)↼⊘⨖((⩪∧⨌≴∭⊉5602)⪛⫼(⊄⩳↩≴∭⊉4125)⋭≵(⊈≴∭⊉6301⊮⊟↴≴∭⊉12145))","cot":[{"info":"≴∭⊉22300∠⫱≴∭⊉4513=≴∭⊉3412","layer":3},{"info":"≴∭⊉3412⫽⇹≛=≴∭⊉536","layer":2},{"info":"≴∭⊉12462+≴∭⊉4036=≴∭⊉16531","layer":3},{"info":"≴∭⊉4623⫸⊐≴∭⊉21244=≴∭⊉115103","layer":3},{"info":"≴∭⊉16531⋹⋡⊁≴∭⊉115103=≴∭⊉120224","layer":2},{"info":"≴∭⊉536⊴≴∭⊉120224=NaN","layer":1},{"info":"⩪∧⨌≴∭⊉5602=≴∭⊉112426","layer":3},{"info":"⊄⩳↩≴∭⊉4125=≴∭⊉-15411","layer":3},{"info":"≴∭⊉112426⪛⫼≴∭⊉-15411=≴∭⊉-3235","layer":2},{"info":"≴∭⊉6301⊮⊟↴≴∭⊉12145=≴∭⊉0","layer":3},{"info":"⊈≴∭⊉0=≴∭⊉-336","layer":2},{"info":"≴∭⊉-3235⋭≵≴∭⊉-336=≴∭⊉124","layer":1},{"info":"NaN↼⊘⨖≴∭⊉124=≴∭⊉-154","layer":0}]}
+{"id":871,"expression_no_base_symbol":"(⩦⊞($5188$⋛$3354$)⋹⋡⊁($1300$∷))⊹∫⫚(⊖∈($1395$∕⩚$2401$)⪢(∷≠$4786$))","expression":"(⩦⊞(≴∭⊉21061⋛≴∭⊉12531)⋹⋡⊁(≴∭⊉3535∷))⊹∫⫚(⊖∈(≴∭⊉4032∕⩚≴∭⊉10000)⪢(∷≠≴∭⊉16645))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":69473,"operation_count":9,"complexity_ratio":7719.222222222223,"tree":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":5188,"base":7},"right_expr":{"type":"numeric_atoms","value":3354,"base":7}},"right_expr":{"type":"unary","operator":"∷","unary_expr":{"type":"numeric_atoms","value":1300,"base":7}}}},"right_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":1395,"base":7},"right_expr":{"type":"numeric_atoms","value":2401,"base":7}},"right_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"numeric_atoms","value":4786,"base":7}}}}},"used_operators":["uWAJUKEvyW","u7fv1HBiaC","As8RqfVLgs","YbUVn0Rbpy","nFAOW8KTqp","YFxL8Sc2Zy","dWAJyo7jo9","z9ffQ9n5Zr","QiR2Oyf5Xj"],"dependent_operators":["BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","D4vGDi5EA2","t8gj7n24qd","2DDjHMKMc0","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","k8jYdgA6NY","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","7j4O788W3g"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5188","layer":4},{"info":"number node, value=3354","layer":4},{"info":"compute binary expreesion, left_input=5188, right_input=3354, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-85500","layer":3},{"info":"number node, value=1300","layer":4},{"info":"compute unary expreesion, input=1300, op_id = nFAOW8KTqp, unary_op_definition = 'a∷ = { ((-(a⋝⋈⪟a))≦≮≮) }', output=3900","layer":3},{"info":"compute binary expreesion, left_input=-85500, right_input=3900, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=4650","layer":2},{"info":"compute unary expreesion, input=4650, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-4377","layer":1},{"info":"number node, value=1395","layer":4},{"info":"number node, value=2401","layer":4},{"info":"compute binary expreesion, left_input=1395, right_input=2401, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-1398","layer":3},{"info":"number node, value=4786","layer":4},{"info":"compute unary expreesion, input=4786, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=4786","layer":3},{"info":"compute binary expreesion, left_input=-1398, right_input=4786, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-4377, right_input=nan, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(⩦⊞(≴∭⊉21061⋛≴∭⊉12531)⋹⋡⊁(≴∭⊉3535∷))⊹∫⫚(⊖∈(≴∭⊉4032∕⩚≴∭⊉10000)⪢(∷≠≴∭⊉16645))=NaN","reverse_text":"NaN=(⩦⊞(≴∭⊉21061⋛≴∭⊉12531)⋹⋡⊁(≴∭⊉3535∷))⊹∫⫚(⊖∈(≴∭⊉4032∕⩚≴∭⊉10000)⪢(∷≠≴∭⊉16645))","cot":[{"info":"≴∭⊉21061⋛≴∭⊉12531=≴∭⊉-504162","layer":3},{"info":"≴∭⊉3535∷=≴∭⊉14241","layer":3},{"info":"≴∭⊉-504162⋹⋡⊁≴∭⊉14241=≴∭⊉16362","layer":2},{"info":"⩦⊞≴∭⊉16362=≴∭⊉-15522","layer":1},{"info":"≴∭⊉4032∕⩚≴∭⊉10000=≴∭⊉-4035","layer":3},{"info":"∷≠≴∭⊉16645=≴∭⊉16645","layer":3},{"info":"≴∭⊉-4035⪢≴∭⊉16645=NaN","layer":2},{"info":"⊖∈NaN=NaN","layer":1},{"info":"≴∭⊉-15522⊹∫⫚NaN=NaN","layer":0}]}
+{"id":872,"expression_no_base_symbol":"(⨡↴($4376$⊹∫⫚$2328$)∣($6482$⩵∡$8355$))⇀∌","expression":"(⨡↴(≴∭⊉15521⊹∫⫚≴∭⊉6534)∣(≴∭⊉24620⩵∡≴∭⊉33234))⇀∌","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":133,"operation_count":5,"complexity_ratio":26.6,"tree":{"type":"unary","operator":"⇀∌","unary_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":4376,"base":7},"right_expr":{"type":"numeric_atoms","value":2328,"base":7}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":6482,"base":7},"right_expr":{"type":"numeric_atoms","value":8355,"base":7}}}}},"used_operators":["2k53nXOpI5","liw5iZPkLH","PPChnnnBFF","uWAJUKEvyW","Y7wcNGrDQJ"],"dependent_operators":["Q3PJZHRvZv","ddLRYrp01A","AcOhelriW5","7t3wd0Fuz7","3tVxb0NHM4","W4YGzv6Whe","P8v4zCKN1o","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","NTOWxs364D","glklzrTFfD","tifHPKVTfV"],"result":"≴∭⊉221","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4376","layer":4},{"info":"number node, value=2328","layer":4},{"info":"compute binary expreesion, left_input=4376, right_input=2328, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-192","layer":3},{"info":"number node, value=6482","layer":4},{"info":"number node, value=8355","layer":4},{"info":"compute binary expreesion, left_input=6482, right_input=8355, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-4730","layer":3},{"info":"compute binary expreesion, left_input=-192, right_input=-4730, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=676","layer":2},{"info":"compute unary expreesion, input=676, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=1725","layer":1},{"info":"compute unary expreesion, input=1725, op_id = 2k53nXOpI5, unary_op_definition = 'a⇀∌ = { ((a⪎↠(⨣⨃⇪a))⋥⋵⩄(a∊∟⩊(⊥a))) }', output=113","layer":0}],"base":7,"result_base":7,"text":"(⨡↴(≴∭⊉15521⊹∫⫚≴∭⊉6534)∣(≴∭⊉24620⩵∡≴∭⊉33234))⇀∌=≴∭⊉221","reverse_text":"≴∭⊉221=(⨡↴(≴∭⊉15521⊹∫⫚≴∭⊉6534)∣(≴∭⊉24620⩵∡≴∭⊉33234))⇀∌","cot":[{"info":"≴∭⊉15521⊹∫⫚≴∭⊉6534=≴∭⊉-363","layer":3},{"info":"≴∭⊉24620⩵∡≴∭⊉33234=≴∭⊉-16535","layer":3},{"info":"≴∭⊉-363∣≴∭⊉-16535=≴∭⊉1654","layer":2},{"info":"⨡↴≴∭⊉1654=≴∭⊉5013","layer":1},{"info":"≴∭⊉5013⇀∌=≴∭⊉221","layer":0}]}
+{"id":873,"expression_no_base_symbol":"((($2303$⪉⨛$1437$)≀⩗∶$4175$⨐⩸⫘$5536$)⊹∫⫚($2611$⪘⫢$3256$)⩍⋽⫝̸($5613$⇉⇉))⇡⇂(($6078$⨵⪆$1798$)⫉⨲⊜($3894$⪛⫼$4437$)↫)","expression":"(((≴∭⊉6500⪉⨛≴∭⊉4122)≀⩗∶≴∭⊉15113⨐⩸⫘≴∭⊉22066)⊹∫⫚(≴∭⊉10420⪘⫢≴∭⊉12331)⩍⋽⫝̸(≴∭⊉22236⇉⇉))⇡⇂((≴∭⊉23502⨵⪆≴∭⊉5146)⫉⨲⊜(≴∭⊉14232⪛⫼≴∭⊉15636)↫)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":112829,"operation_count":12,"complexity_ratio":9402.416666666666,"tree":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":2303,"base":7},"right_expr":{"type":"numeric_atoms","value":1437,"base":7}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":4175,"base":7},"right_expr":{"type":"numeric_atoms","value":5536,"base":7}}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2611,"base":7},"right_expr":{"type":"numeric_atoms","value":3256,"base":7}},"right_expr":{"type":"unary","operator":"⇉⇉","unary_expr":{"type":"numeric_atoms","value":5613,"base":7}}}},"right_expr":{"type":"unary","operator":"↫","unary_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":6078,"base":7},"right_expr":{"type":"numeric_atoms","value":1798,"base":7}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":3894,"base":7},"right_expr":{"type":"numeric_atoms","value":4437,"base":7}}}}},"used_operators":["UMwdvZNt44","uWAJUKEvyW","8INZBEW696","EWw2JM7wp4","fu6greOZ01","BiWNJpBvwn","oacrs7FA3X","diKm42VcIt","uPb5QRN0te","WhqkvtTD3t","2DQ55sFlQl","hyuBjUqXlG"],"dependent_operators":["9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","3ViojmjbAp","Ph9nP6C5qx","xUOZtlo3hN","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","RygbFNSyEJ","XPYlsWDdGa","k8jYdgA6NY","xUOZtlo3hN","AFVx7xoS7T","iuk5sVOGFA","86A5ENbKR9","i8ToyICDmI","2DQ55sFlQl","t8gj7n24qd","eewbuw0ToL","zVYPLywUTj","rysDP5nf3Z","t8gj7n24qd","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG"],"result":"≴∭⊉-636","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2303","layer":4},{"info":"number node, value=1437","layer":4},{"info":"compute binary expreesion, left_input=2303, right_input=1437, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=5687","layer":3},{"info":"number node, value=4175","layer":4},{"info":"number node, value=5536","layer":4},{"info":"compute binary expreesion, left_input=4175, right_input=5536, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=5687, right_input=nan, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=nan","layer":2},{"info":"number node, value=2611","layer":4},{"info":"number node, value=3256","layer":4},{"info":"compute binary expreesion, left_input=2611, right_input=3256, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=5098","layer":3},{"info":"number node, value=5613","layer":4},{"info":"compute unary expreesion, input=5613, op_id = diKm42VcIt, unary_op_definition = 'a⇉⇉ = { (⪸(⨞⊢(a≦↸a))) , if (a⪣⫩)!=30 ; (a%(⪲⇎(a⇌⫙⪟156))) , else }', output=-366940","layer":3},{"info":"compute binary expreesion, left_input=5098, right_input=-366940, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=371565","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=371565, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-324","layer":1},{"info":"number node, value=6078","layer":4},{"info":"number node, value=1798","layer":4},{"info":"compute binary expreesion, left_input=6078, right_input=1798, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=3894","layer":4},{"info":"number node, value=4437","layer":4},{"info":"compute binary expreesion, left_input=3894, right_input=4437, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=968, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = uPb5QRN0te, unary_op_definition = 'a↫ = { (a∲⫓a) , if (-a)>=333 ; (a⨵⪆a) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=-324, right_input=160, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=-321","layer":0}],"base":7,"result_base":7,"text":"(((≴∭⊉6500⪉⨛≴∭⊉4122)≀⩗∶≴∭⊉15113⨐⩸⫘≴∭⊉22066)⊹∫⫚(≴∭⊉10420⪘⫢≴∭⊉12331)⩍⋽⫝̸(≴∭⊉22236⇉⇉))⇡⇂((≴∭⊉23502⨵⪆≴∭⊉5146)⫉⨲⊜(≴∭⊉14232⪛⫼≴∭⊉15636)↫)=≴∭⊉-636","reverse_text":"≴∭⊉-636=(((≴∭⊉6500⪉⨛≴∭⊉4122)≀⩗∶≴∭⊉15113⨐⩸⫘≴∭⊉22066)⊹∫⫚(≴∭⊉10420⪘⫢≴∭⊉12331)⩍⋽⫝̸(≴∭⊉22236⇉⇉))⇡⇂((≴∭⊉23502⨵⪆≴∭⊉5146)⫉⨲⊜(≴∭⊉14232⪛⫼≴∭⊉15636)↫)","cot":[{"info":"≴∭⊉6500⪉⨛≴∭⊉4122=≴∭⊉22403","layer":3},{"info":"≴∭⊉15113⨐⩸⫘≴∭⊉22066=NaN","layer":3},{"info":"≴∭⊉22403≀⩗∶NaN=NaN","layer":2},{"info":"≴∭⊉10420⪘⫢≴∭⊉12331=≴∭⊉20602","layer":3},{"info":"≴∭⊉22236⇉⇉=≴∭⊉-3055540","layer":3},{"info":"≴∭⊉20602⩍⋽⫝̸≴∭⊉-3055540=≴∭⊉3105165","layer":2},{"info":"NaN⊹∫⫚≴∭⊉3105165=≴∭⊉-642","layer":1},{"info":"≴∭⊉23502⨵⪆≴∭⊉5146=≴∭⊉316","layer":3},{"info":"≴∭⊉14232⪛⫼≴∭⊉15636=≴∭⊉2552","layer":3},{"info":"≴∭⊉316⫉⨲⊜≴∭⊉2552=≴∭⊉0","layer":2},{"info":"≴∭⊉0↫=≴∭⊉316","layer":1},{"info":"≴∭⊉-642⇡⇂≴∭⊉316=≴∭⊉-636","layer":0}]}
+{"id":874,"expression_no_base_symbol":"(⊥$5384$)⪡($3434$/$1507$)⨔≚≋($3567$↞⋁$4103$⇼⇔∾($4963$⨲))∲⫓((↪⫪⫘$8026$)∽$1937$⫒⫫$1192$+($1326$⪪$1067$)⨸($7486$∠↢$3262$))","expression":"(⊥≴∭⊉21461)⪡(≴∭⊉13004/≴∭⊉4252)⨔≚≋(≴∭⊉13254↞⋁≴∭⊉14651⇼⇔∾(≴∭⊉20320⨲))∲⫓((↪⫪⫘≴∭⊉32254)∽≴∭⊉5435⫒⫫≴∭⊉3322+(≴∭⊉3603⪪≴∭⊉3053)⨸(≴∭⊉30553∠↢≴∭⊉12340))","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":953335,"operation_count":15,"complexity_ratio":63555.666666666664,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":5384,"base":7}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":3434,"base":7},"right_expr":{"type":"numeric_atoms","value":1507,"base":7}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":3567,"base":7},"right_expr":{"type":"numeric_atoms","value":4103,"base":7}},"right_expr":{"type":"unary","operator":"⨲","unary_expr":{"type":"numeric_atoms","value":4963,"base":7}}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"∽","left_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"numeric_atoms","value":8026,"base":7}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":1937,"base":7},"right_expr":{"type":"numeric_atoms","value":1192,"base":7}}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":1326,"base":7},"right_expr":{"type":"numeric_atoms","value":1067,"base":7}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":7486,"base":7},"right_expr":{"type":"numeric_atoms","value":3262,"base":7}}}}},"used_operators":["i8ToyICDmI","Z57zeUYC9z","oraRL2iQuh","Q3PJZHRvZv","XhwjNDsVaA","tifHPKVTfV","RqrPlJkxDo","nLYMGWM7L8","W4YGzv6Whe","y4ImoPnbV5","9dWsAM3GFt","6Ko8hGgeMq","KmoU8R5UQR","xD69zh8xqp","KbjG8mgYpV"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","fu6greOZ01","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","DlLNRPXxWL","WR6HLWljOP","48vC8HMD2b","SUmda5xLS4","wicAB68Tmb","hrf7POJlIJ","NTOWxs364D","QMFrweE19q","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","FU0Cs4j7VP","JclMnS0uGI","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5384","layer":4},{"info":"compute unary expreesion, input=5384, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=3434","layer":4},{"info":"number node, value=1507","layer":4},{"info":"compute binary expreesion, left_input=3434, right_input=1507, op_id = XhwjNDsVaA binary_op_definition= 'None', output=2","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=nan","layer":2},{"info":"number node, value=3567","layer":4},{"info":"number node, value=4103","layer":4},{"info":"compute binary expreesion, left_input=3567, right_input=4103, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"number node, value=4963","layer":4},{"info":"compute unary expreesion, input=4963, op_id = nLYMGWM7L8, unary_op_definition = 'a⨲ = { ((a↢a)∴(118⪝a)) , if a==152 ; ((a⪄a)⫘(⫛⫱⨽a)) , else }', output=882551245","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=882551245, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=nan","layer":1},{"info":"number node, value=8026","layer":4},{"info":"compute unary expreesion, input=8026, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":3},{"info":"number node, value=1937","layer":4},{"info":"number node, value=1192","layer":4},{"info":"compute binary expreesion, left_input=1937, right_input=1192, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=20, right_input=nan, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=nan","layer":2},{"info":"number node, value=1326","layer":4},{"info":"number node, value=1067","layer":4},{"info":"compute binary expreesion, left_input=1326, right_input=1067, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-196315","layer":3},{"info":"number node, value=7486","layer":4},{"info":"number node, value=3262","layer":4},{"info":"compute binary expreesion, left_input=7486, right_input=3262, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-74530","layer":3},{"info":"compute binary expreesion, left_input=-196315, right_input=-74530, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=392630","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=392630, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(⊥≴∭⊉21461)⪡(≴∭⊉13004/≴∭⊉4252)⨔≚≋(≴∭⊉13254↞⋁≴∭⊉14651⇼⇔∾(≴∭⊉20320⨲))∲⫓((↪⫪⫘≴∭⊉32254)∽≴∭⊉5435⫒⫫≴∭⊉3322+(≴∭⊉3603⪪≴∭⊉3053)⨸(≴∭⊉30553∠↢≴∭⊉12340))=NaN","reverse_text":"NaN=(⊥≴∭⊉21461)⪡(≴∭⊉13004/≴∭⊉4252)⨔≚≋(≴∭⊉13254↞⋁≴∭⊉14651⇼⇔∾(≴∭⊉20320⨲))∲⫓((↪⫪⫘≴∭⊉32254)∽≴∭⊉5435⫒⫫≴∭⊉3322+(≴∭⊉3603⪪≴∭⊉3053)⨸(≴∭⊉30553∠↢≴∭⊉12340))","cot":[{"info":"⊥≴∭⊉21461=NaN","layer":3},{"info":"≴∭⊉13004/≴∭⊉4252=≴∭⊉2","layer":3},{"info":"NaN⪡≴∭⊉2=NaN","layer":2},{"info":"≴∭⊉13254↞⋁≴∭⊉14651=NaN","layer":3},{"info":"≴∭⊉20320⨲=≴∭⊉30604363462","layer":3},{"info":"NaN⇼⇔∾≴∭⊉30604363462=NaN","layer":2},{"info":"NaN⨔≚≋NaN=NaN","layer":1},{"info":"↪⫪⫘≴∭⊉32254=≴∭⊉26","layer":3},{"info":"≴∭⊉5435⫒⫫≴∭⊉3322=NaN","layer":3},{"info":"≴∭⊉26∽NaN=NaN","layer":2},{"info":"≴∭⊉3603⪪≴∭⊉3053=≴∭⊉-1445230","layer":3},{"info":"≴∭⊉30553∠↢≴∭⊉12340=≴∭⊉-430201","layer":3},{"info":"≴∭⊉-1445230⨸≴∭⊉-430201=≴∭⊉3223460","layer":2},{"info":"NaN+≴��⊉3223460=NaN","layer":1},{"info":"NaN∲⫓NaN=NaN","layer":0}]}
+{"id":875,"expression_no_base_symbol":"(($1048$⪛$1766$)⪷)⋛($6459$∣$2415$)⫗⊷⫓($1002$⨭⪣$1415$)⊢","expression":"((≴∭⊉3025⪛≴∭⊉5102)⪷)⋛(≴∭⊉24555∣≴∭⊉10020)⫗⊷⫓(≴∭⊉2631⨭⪣≴∭⊉4061)⊢","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":217108,"operation_count":7,"complexity_ratio":31015.428571428572,"tree":{"type":"unary","operator":"⊢","unary_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"unary","operator":"⪷","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1048,"base":7},"right_expr":{"type":"numeric_atoms","value":1766,"base":7}}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":6459,"base":7},"right_expr":{"type":"numeric_atoms","value":2415,"base":7}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":1002,"base":7},"right_expr":{"type":"numeric_atoms","value":1415,"base":7}}}}},"used_operators":["40aOVDgCDB","YbUVn0Rbpy","Qctrpi3WzA","uFcxV4UQCh","zashukvMKz","PPChnnnBFF","kn8WO9XteQ"],"dependent_operators":["NTOWxs364D","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","Nsiff2A1zJ","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF"],"result":"≴∭⊉42","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1048","layer":4},{"info":"number node, value=1766","layer":4},{"info":"compute binary expreesion, left_input=1048, right_input=1766, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1048","layer":3},{"info":"compute unary expreesion, input=1048, op_id = Qctrpi3WzA, unary_op_definition = 'a⪷ = { (a⊴a) }', output=nan","layer":2},{"info":"number node, value=6459","layer":4},{"info":"number node, value=2415","layer":4},{"info":"compute binary expreesion, left_input=6459, right_input=2415, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=6459","layer":3},{"info":"number node, value=1002","layer":4},{"info":"number node, value=1415","layer":4},{"info":"compute binary expreesion, left_input=1002, right_input=1415, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-277","layer":3},{"info":"compute binary expreesion, left_input=6459, right_input=-277, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-134, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=30","layer":1},{"info":"compute unary expreesion, input=30, op_id = 40aOVDgCDB, unary_op_definition = 'a⊢ = { a , if a<=675 ; (a⩚⊴⇥126) , else }', output=30","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉3025⪛≴∭⊉5102)⪷)⋛(≴∭⊉24555∣≴∭⊉10020)⫗⊷⫓(≴∭⊉2631⨭⪣≴∭⊉4061)⊢=≴∭⊉42","reverse_text":"≴∭⊉42=((≴∭⊉3025⪛≴∭⊉5102)⪷)⋛(≴∭⊉24555∣≴∭⊉10020)⫗⊷⫓(≴∭⊉2631⨭⪣≴∭⊉4061)⊢","cot":[{"info":"≴∭⊉3025⪛≴∭⊉5102=≴∭⊉3025","layer":3},{"info":"≴∭⊉3025⪷=NaN","layer":2},{"info":"≴∭⊉24555∣≴∭⊉10020=≴∭⊉24555","layer":3},{"info":"≴∭⊉2631⨭⪣≴∭⊉4061=≴∭⊉-544","layer":3},{"info":"≴∭⊉24555⫗⊷⫓≴∭⊉-544=≴∭⊉-251","layer":2},{"info":"NaN⋛≴∭⊉-251=≴∭⊉42","layer":1},{"info":"≴∭⊉42⊢=≴∭⊉42","layer":0}]}
+{"id":876,"expression_no_base_symbol":"((≇⪴$2465$)⩦($1546$⩧⪆$1131$)⪃↞⩐)↓(($1318$⊟⇱)⩖⊿$3867$⨸$5332$≬⋮(⪸$8775$)↢(⊖$6093$))","expression":"((≇⪴≴∭⊉10121)⩦(≴∭⊉4336⩧⪆≴∭⊉3204)⪃↞⩐)↓((≴∭⊉3562⊟⇱)⩖⊿≴∭⊉14163⨸≴∭⊉21355≬⋮(⪸≴∭⊉34404)↢(⊖≴∭⊉23523))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":17265,"operation_count":12,"complexity_ratio":1438.75,"tree":{"type":"binary","operator":"↓","left_expr":{"type":"unary","operator":"⪃↞⩐","unary_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"numeric_atoms","value":2465,"base":7}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":1546,"base":7},"right_expr":{"type":"numeric_atoms","value":1131,"base":7}}}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"unary","operator":"⊟⇱","unary_expr":{"type":"numeric_atoms","value":1318,"base":7}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":3867,"base":7},"right_expr":{"type":"numeric_atoms","value":5332,"base":7}}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"numeric_atoms","value":8775,"base":7}},"right_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"numeric_atoms","value":6093,"base":7}}}}},"used_operators":["Af076pWI7l","grXIztHqDa","0kmYd0q39Y","zoVPnxeHJ3","Ikt5ks8PT7","kbkesczE7y","RZ5CV9rWsJ","03sUfWo75k","KmoU8R5UQR","WR6HLWljOP","86A5ENbKR9","U6pG0PXrV3"],"dependent_operators":["nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","IwW236VD4Y","bF6eod5Gvf","l07mrZUIn9","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","eewbuw0ToL","t8gj7n24qd","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","IWmyXbctLI","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx"],"result":"≴∭⊉-251","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2465","layer":4},{"info":"compute unary expreesion, input=2465, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-6055","layer":3},{"info":"number node, value=1546","layer":4},{"info":"number node, value=1131","layer":4},{"info":"compute binary expreesion, left_input=1546, right_input=1131, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-1131","layer":3},{"info":"compute binary expreesion, left_input=-6055, right_input=-1131, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=-56989","layer":2},{"info":"compute unary expreesion, input=-56989, op_id = grXIztHqDa, unary_op_definition = 'a⪃↞⩐ = { ((a→⨶⪴a)≠≀(a↪⪝)) }', output=nan","layer":1},{"info":"number node, value=1318","layer":4},{"info":"compute unary expreesion, input=1318, op_id = 03sUfWo75k, unary_op_definition = 'a⊟⇱ = { (a⪮%⊝a) }', output=2952","layer":3},{"info":"number node, value=3867","layer":4},{"info":"number node, value=5332","layer":4},{"info":"compute binary expreesion, left_input=3867, right_input=5332, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=7734","layer":3},{"info":"compute binary expreesion, left_input=2952, right_input=7734, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=49982","layer":2},{"info":"number node, value=8775","layer":4},{"info":"compute unary expreesion, input=8775, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-148966","layer":3},{"info":"number node, value=6093","layer":4},{"info":"compute unary expreesion, input=6093, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-148966, right_input=0, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=-297932","layer":2},{"info":"compute binary expreesion, left_input=49982, right_input=-297932, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=868, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":0}],"base":7,"result_base":7,"text":"((≇⪴≴∭⊉10121)⩦(≴∭⊉4336⩧⪆≴∭⊉3204)⪃↞⩐)↓((≴∭⊉3562⊟⇱)⩖⊿≴∭⊉14163⨸≴∭⊉21355≬⋮(⪸≴∭⊉34404)↢(⊖≴∭⊉23523))=≴∭⊉-251","reverse_text":"≴∭⊉-251=((≇⪴≴∭⊉10121)⩦(≴∭⊉4336⩧⪆≴∭⊉3204)⪃↞⩐)↓((≴∭⊉3562⊟⇱)⩖⊿≴∭⊉14163⨸≴∭⊉21355≬⋮(⪸≴∭⊉34404)↢(⊖≴∭⊉23523))","cot":[{"info":"≇⪴≴∭⊉10121=≴∭⊉-23440","layer":3},{"info":"≴∭⊉4336⩧⪆≴∭⊉3204=≴∭⊉-3204","layer":3},{"info":"≴∭⊉-23440⩦≴∭⊉-3204=≴∭⊉-325102","layer":2},{"info":"≴∭⊉-325102⪃↞⩐=NaN","layer":1},{"info":"≴∭⊉3562⊟⇱=≴∭⊉11415","layer":3},{"info":"≴∭⊉14163⨸≴∭⊉21355=≴∭⊉31356","layer":3},{"info":"≴∭⊉11415⩖⊿≴∭⊉31356=≴∭⊉265502","layer":2},{"info":"⪸≴∭⊉34404=≴∭⊉-1160206","layer":3},{"info":"⊖≴∭⊉23523=≴∭⊉0","layer":3},{"info":"≴∭⊉-1160206↢≴∭⊉0=≴∭⊉-2350415","layer":2},{"info":"≴∭⊉265502≬⋮≴∭⊉-2350415=≴∭⊉2350","layer":1},{"info":"NaN↓≴∭⊉2350=≴∭⊉-251","layer":0}]}
+{"id":877,"expression_no_base_symbol":"((⊆⋠$6785$)⫗⊷⫓($3123$⩨$1975$)∈)⨓(((⩏⊷≩$2259$)%(⇘$3588$))↺(⊑(∟⋨$3967$)))","expression":"((⊆⋠≴∭⊉25532)⫗⊷⫓(≴∭⊉12051⩨≴∭⊉5521)∈)⨓(((⩏⊷≩≴∭⊉6405)%(⇘≴∭⊉13314))↺(⊑(∟⋨≴∭⊉14365)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":99433,"operation_count":11,"complexity_ratio":9039.363636363636,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"∈","unary_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"numeric_atoms","value":6785,"base":7}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3123,"base":7},"right_expr":{"type":"numeric_atoms","value":1975,"base":7}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"numeric_atoms","value":2259,"base":7}},"right_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"numeric_atoms","value":3588,"base":7}}},"right_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"numeric_atoms","value":3967,"base":7}}}}},"used_operators":["3ViojmjbAp","ztP7wcbY7m","zashukvMKz","EBhcHTkKd8","2DlMacCsIx","7j4O788W3g","k8jYdgA6NY","uOZ1tnYMDE","MGuIdZPyUC","IkUmn0D7oy","ctOc4cKSDt"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","XPYlsWDdGa","8w2t5hMYqp","f6k1SAg4EE","14qkJME0vr","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","23Mk6UjR3U","12rbrZMWeM","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","eLAdDNolq6","tmPS8pqC7x"],"result":"≴∭⊉-366","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6785","layer":4},{"info":"compute unary expreesion, input=6785, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=0","layer":3},{"info":"number node, value=3123","layer":4},{"info":"number node, value=1975","layer":4},{"info":"compute binary expreesion, left_input=3123, right_input=1975, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":2},{"info":"compute unary expreesion, input=-134, op_id = ztP7wcbY7m, unary_op_definition = 'a∈ = { ((⊄⩳↩250)-(a⊦⊿)) , if ((⪲⇎a)>320 or (a⪒777)>25 or a!=39) ; a , else }', output=-1073","layer":1},{"info":"number node, value=2259","layer":4},{"info":"compute unary expreesion, input=2259, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=4217","layer":3},{"info":"number node, value=3588","layer":4},{"info":"compute unary expreesion, input=3588, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=209662","layer":3},{"info":"compute binary expreesion, left_input=4217, right_input=209662, op_id = k8jYdgA6NY binary_op_definition= 'None', output=4217","layer":2},{"info":"number node, value=3967","layer":4},{"info":"compute unary expreesion, input=3967, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-3483","layer":3},{"info":"compute unary expreesion, input=-3483, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":2},{"info":"compute binary expreesion, left_input=4217, right_input=192, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=192","layer":1},{"info":"compute binary expreesion, left_input=-1073, right_input=192, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-195","layer":0}],"base":7,"result_base":7,"text":"((⊆⋠≴∭⊉25532)⫗⊷⫓(≴∭⊉12051⩨≴∭⊉5521)∈)⨓(((⩏⊷≩≴∭⊉6405)%(⇘≴∭⊉13314))↺(⊑(∟⋨≴∭⊉14365)))=≴∭⊉-366","reverse_text":"≴∭⊉-366=((⊆⋠≴∭⊉25532)⫗⊷⫓(≴∭⊉12051⩨≴∭⊉5521)∈)⨓(((⩏⊷≩≴∭⊉6405)%(⇘≴∭⊉13314))↺(⊑(∟⋨≴∭⊉14365)))","cot":[{"info":"⊆⋠≴∭⊉25532=≴∭⊉0","layer":3},{"info":"≴∭⊉12051⩨≴∭⊉5521=≴∭⊉0","layer":3},{"info":"≴∭⊉0⫗⊷⫓≴∭⊉0=≴∭⊉-251","layer":2},{"info":"≴∭⊉-251∈=≴∭⊉-3062","layer":1},{"info":"⩏⊷≩≴∭⊉6405=≴∭⊉15203","layer":3},{"info":"⇘≴∭⊉13314=≴∭⊉1532155","layer":3},{"info":"≴∭⊉15203%≴∭⊉1532155=≴∭⊉15203","layer":2},{"info":"∟⋨≴∭⊉14365=≴∭⊉-13104","layer":3},{"info":"⊑≴∭⊉-13104=≴∭⊉363","layer":2},{"info":"≴∭⊉15203↺≴∭⊉363=≴∭⊉363","layer":1},{"info":"≴∭⊉-3062⨓≴∭⊉363=≴∭⊉-366","layer":0}]}
+{"id":878,"expression_no_base_symbol":"(($5349$⫢⨠$5154$)↓(⇋↷$1358$)≚⊃≕$1553$⊉↱≁$1025$∘($2541$⊔$2172$))⪝(($1226$⊿∆)⋳⪒($1239$⊭↱$4406$)⪛⫼($2749$⨳⩥⨓$4525$⩹$1380$↳≱$5084$))","expression":"((≴∭⊉21411⫢⨠≴∭⊉21012)↓(⇋↷≴∭⊉3650)≚⊃≕≴∭⊉4346⊉↱≁≴∭⊉2663∘(≴∭⊉10260⊔≴∭⊉6222))⪝((≴∭⊉3401⊿∆)⋳⪒(≴∭⊉3420⊭↱≴∭⊉15563)⪛⫼(≴∭⊉11005⨳⩥⨓≴∭⊉16123⩹≴∭⊉4011↳≱≴∭⊉20552))","highest_n_order":3,"priority_hierarchical_complexity":14,"normalized_expansion_degree":153373,"operation_count":15,"complexity_ratio":10224.866666666667,"tree":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":5349,"base":7},"right_expr":{"type":"numeric_atoms","value":5154,"base":7}},"right_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"numeric_atoms","value":1358,"base":7}}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":1553,"base":7},"right_expr":{"type":"numeric_atoms","value":1025,"base":7}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":2541,"base":7},"right_expr":{"type":"numeric_atoms","value":2172,"base":7}}}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⊿∆","unary_expr":{"type":"numeric_atoms","value":1226,"base":7}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1239,"base":7},"right_expr":{"type":"numeric_atoms","value":4406,"base":7}}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2749,"base":7},"right_expr":{"type":"numeric_atoms","value":4525,"base":7}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":1380,"base":7},"right_expr":{"type":"numeric_atoms","value":5084,"base":7}}}}},"used_operators":["wicAB68Tmb","Bmrmz2XGnR","Af076pWI7l","xlXykHWxX1","SWo3A1KBJH","Z5m6OM72h2","w2P8NbNXyL","E4l6HwMY31","hyuBjUqXlG","12rbrZMWeM","fv3ZujxkQL","COABgblf1C","2Wsdkap16l","nCS4ZIUYfx","JwTKLfZU96"],"dependent_operators":["L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","eH2TOUuTDT","rysDP5nf3Z","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","rysDP5nf3Z","t8gj7n24qd","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","W4YGzv6Whe","rysDP5nf3Z","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96"],"result":"≴∭⊉-5014524","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5349","layer":4},{"info":"number node, value=5154","layer":4},{"info":"compute binary expreesion, left_input=5349, right_input=5154, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"number node, value=1358","layer":4},{"info":"compute unary expreesion, input=1358, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=10864","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=10864, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":2},{"info":"number node, value=1553","layer":4},{"info":"number node, value=1025","layer":4},{"info":"compute binary expreesion, left_input=1553, right_input=1025, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=9328","layer":3},{"info":"number node, value=2541","layer":4},{"info":"number node, value=2172","layer":4},{"info":"compute binary expreesion, left_input=2541, right_input=2172, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=13542","layer":3},{"info":"compute binary expreesion, left_input=9328, right_input=13542, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=18656","layer":2},{"info":"compute binary expreesion, left_input=-134, right_input=18656, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=-59732","layer":1},{"info":"number node, value=1226","layer":4},{"info":"compute unary expreesion, input=1226, op_id = fv3ZujxkQL, unary_op_definition = 'a⊿∆ = { (a⩚⊴⇥a) }', output=-2573","layer":3},{"info":"number node, value=1239","layer":4},{"info":"number node, value=4406","layer":4},{"info":"compute binary expreesion, left_input=1239, right_input=4406, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=6339","layer":3},{"info":"compute binary expreesion, left_input=-2573, right_input=6339, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-11772","layer":2},{"info":"number node, value=2749","layer":4},{"info":"number node, value=4525","layer":4},{"info":"compute binary expreesion, left_input=2749, right_input=4525, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1776","layer":3},{"info":"number node, value=1380","layer":4},{"info":"number node, value=5084","layer":4},{"info":"compute binary expreesion, left_input=1380, right_input=5084, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1776, right_input=0, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=-2","layer":2},{"info":"compute binary expreesion, left_input=-11772, right_input=-2, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=968","layer":1},{"info":"compute binary expreesion, left_input=-59732, right_input=968, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-592281","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉21411⫢⨠≴∭⊉21012)↓(⇋↷≴∭⊉3650)≚⊃≕≴∭⊉4346⊉↱≁≴∭⊉2663∘(≴∭⊉10260⊔≴∭⊉6222))⪝((≴∭⊉3401⊿∆)⋳⪒(≴∭⊉3420⊭↱≴∭⊉15563)⪛⫼(≴∭⊉11005⨳⩥⨓≴∭⊉16123⩹≴∭⊉4011↳≱≴∭⊉20552))=≴∭⊉-5014524","reverse_text":"≴∭⊉-5014524=((≴∭⊉21411⫢⨠≴∭⊉21012)↓(⇋↷≴∭⊉3650)≚⊃≕≴∭⊉4346⊉↱≁≴∭⊉2663∘(≴∭⊉10260⊔≴∭⊉6222))⪝((≴∭⊉3401⊿∆)⋳⪒(≴∭⊉3420⊭↱≴∭⊉15563)⪛⫼(≴∭⊉11005⨳⩥⨓≴∭⊉16123⩹≴∭⊉4011↳≱≴∭⊉20552))","cot":[{"info":"≴∭⊉21411⫢⨠≴∭⊉21012=≴∭⊉316","layer":3},{"info":"⇋↷≴∭⊉3650=≴∭⊉43450","layer":3},{"info":"≴∭⊉316↓≴∭⊉43450=≴∭⊉-251","layer":2},{"info":"≴∭⊉4346⊉↱≁≴∭⊉2663=≴∭⊉36124","layer":3},{"info":"≴∭⊉10260⊔≴∭⊉6222=≴∭⊉54324","layer":3},{"info":"≴∭⊉36124∘≴∭⊉54324=≴∭⊉105251","layer":2},{"info":"≴∭⊉-251≚⊃≕≴∭⊉105251=≴∭⊉-336101","layer":1},{"info":"≴∭⊉3401⊿∆=≴∭⊉-10334","layer":3},{"info":"≴∭⊉3420⊭↱≴∭⊉15563=≴∭⊉24324","layer":3},{"info":"≴∭⊉-10334⋳⪒≴∭⊉24324=≴∭⊉-46215","layer":2},{"info":"≴∭⊉11005⨳⩥⨓≴∭⊉16123=≴∭⊉5115","layer":3},{"info":"≴∭⊉4011↳≱≴∭⊉20552=≴∭⊉0","layer":3},{"info":"≴∭⊉5115⩹≴∭⊉0=≴∭⊉-2","layer":2},{"info":"≴∭⊉-46215⪛⫼≴∭⊉-2=≴∭⊉2552","layer":1},{"info":"≴∭⊉-336101⪝≴∭⊉2552=≴∭⊉-5014524","layer":0}]}
+{"id":879,"expression_no_base_symbol":"(⨡↴((⨂⪏⇭$2754$)∠⫱$2515$∌↝$4396$))∓⋝(($2486$∳⫺$2623$)⇻⋧≁($2847$⫡⨏$1599$))⇡⇂(⊙↵-($1045$⊉≛↸$1983$))","expression":"(⨡↴((⨂⪏⇭≴∭⊉11013)∠⫱≴∭⊉10222∌↝≴∭⊉15550))∓⋝((≴∭⊉10151∳⫺≴∭⊉10435)⇻⋧≁(≴∭⊉11205⫡⨏≴∭⊉4443))⇡⇂(⊙↵-(≴∭⊉3022⊉≛↸≴∭⊉5532))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":206472,"operation_count":11,"complexity_ratio":18770.18181818182,"tree":{"type":"binary","operator":"∓⋝","left_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"numeric_atoms","value":2754,"base":7}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":2515,"base":7},"right_expr":{"type":"numeric_atoms","value":4396,"base":7}}}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":2486,"base":7},"right_expr":{"type":"numeric_atoms","value":2623,"base":7}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2847,"base":7},"right_expr":{"type":"numeric_atoms","value":1599,"base":7}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1045,"base":7},"right_expr":{"type":"numeric_atoms","value":1983,"base":7}}}}},"used_operators":["PoHhknlbAi","liw5iZPkLH","QvoQhV0rrE","AYdpE9sXAk","9Isq31Ruls","UMwdvZNt44","jCPkEVoL5K","AzXXKTstlj","QMFrweE19q","oWn0xqSxBt","DZ8iAZOCBD"],"dependent_operators":["DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","W4YGzv6Whe","P8v4zCKN1o","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"≴∭⊉1263","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2754","layer":4},{"info":"compute unary expreesion, input=2754, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=7283","layer":3},{"info":"number node, value=2515","layer":4},{"info":"number node, value=4396","layer":4},{"info":"compute binary expreesion, left_input=2515, right_input=4396, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=7283, right_input=0, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=7283","layer":2},{"info":"compute unary expreesion, input=7283, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=8332","layer":1},{"info":"number node, value=2486","layer":4},{"info":"number node, value=2623","layer":4},{"info":"compute binary expreesion, left_input=2486, right_input=2623, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":3},{"info":"number node, value=2847","layer":4},{"info":"number node, value=1599","layer":4},{"info":"compute binary expreesion, left_input=2847, right_input=1599, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=18216","layer":3},{"info":"compute binary expreesion, left_input=-260, right_input=18216, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":2},{"info":"number node, value=1045","layer":4},{"info":"number node, value=1983","layer":4},{"info":"compute binary expreesion, left_input=1045, right_input=1983, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2090","layer":3},{"info":"compute unary expreesion, input=2090, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=-1, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻���b))⨐⩸⫘a) , else }', output=450","layer":1},{"info":"compute binary expreesion, left_input=8332, right_input=450, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=486","layer":0}],"base":7,"result_base":7,"text":"(⨡↴((⨂⪏⇭≴∭⊉11013)∠⫱≴∭⊉10222∌↝≴∭⊉15550))∓⋝((≴∭⊉10151∳⫺≴∭⊉10435)⇻⋧≁(≴∭⊉11205⫡⨏≴∭⊉4443))⇡⇂(⊙↵-(≴∭⊉3022⊉≛↸≴∭⊉5532))=≴∭⊉1263","reverse_text":"≴∭⊉1263=(⨡↴((⨂⪏⇭≴∭⊉11013)∠⫱≴∭⊉10222∌↝≴∭⊉15550))∓⋝((≴∭⊉10151∳⫺≴∭⊉10435)⇻⋧≁(≴∭⊉11205⫡⨏≴∭⊉4443))⇡⇂(⊙↵-(≴∭⊉3022⊉≛↸≴∭⊉5532))","cot":[{"info":"⨂⪏⇭≴∭⊉11013=≴∭⊉30143","layer":3},{"info":"≴∭⊉10222∌↝≴∭⊉15550=≴∭⊉0","layer":3},{"info":"≴∭⊉30143∠⫱≴∭⊉0=≴∭⊉30143","layer":2},{"info":"⨡↴≴∭⊉30143=≴∭⊉33202","layer":1},{"info":"≴∭⊉10151∳⫺≴∭⊉10435=≴∭⊉-521","layer":3},{"info":"≴∭⊉11205⫡⨏≴∭⊉4443=≴∭⊉104052","layer":3},{"info":"≴∭⊉-521⇻⋧≁≴∭⊉104052=≴∭⊉-1206","layer":2},{"info":"≴∭⊉3022⊉≛↸≴∭⊉5532=≴∭⊉6044","layer":3},{"info":"⊙↵-≴∭⊉6044=≴∭⊉-1","layer":2},{"info":"≴∭⊉-1206⇡⇂≴∭⊉-1=≴∭⊉1212","layer":1},{"info":"≴∭⊉33202∓⋝≴∭⊉1212=≴∭⊉1263","layer":0}]}
+{"id":880,"expression_no_base_symbol":"(($2792$⨿$2603$⫔⩽⩺(⨵$7974$))∀⇚≩($4752$↼⊘⨖$2258$⪶≀⋏($4096$⇟⨁⪰)))⪛((⩎⋉$4532$)⊬⨰($5305$⩇∃⫛$4631$))⩦($2282$⪟⇏$2355$∙∹∝(⊵⊁$5628$))","expression":"((≴∭⊉11066⨿≴∭⊉10406⫔⩽⩺(⨵≴∭⊉32151))∀⇚≩(≴∭⊉16566↼⊘⨖≴∭⊉6404⪶≀⋏(≴∭⊉14641⇟⨁⪰)))⪛((⩎⋉≴∭⊉16133)⊬⨰(≴∭⊉21316⩇∃⫛≴∭⊉16334))⩦(≴∭⊉6440⪟⇏≴∭⊉6603∙∹∝(⊵⊁≴∭⊉22260))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":509,"operation_count":15,"complexity_ratio":33.93333333333333,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":2792,"base":7},"right_expr":{"type":"numeric_atoms","value":2603,"base":7}},"right_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"numeric_atoms","value":7974,"base":7}}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":4752,"base":7},"right_expr":{"type":"numeric_atoms","value":2258,"base":7}},"right_expr":{"type":"unary","operator":"⇟⨁⪰","unary_expr":{"type":"numeric_atoms","value":4096,"base":7}}}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"numeric_atoms","value":4532,"base":7}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":5305,"base":7},"right_expr":{"type":"numeric_atoms","value":4631,"base":7}}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":2282,"base":7},"right_expr":{"type":"numeric_atoms","value":2355,"base":7}},"right_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"numeric_atoms","value":5628,"base":7}}}}},"used_operators":["uFcxV4UQCh","LRNGc0VcxI","i9eR4S00cU","abYXlopdE0","Tl3Y52tvF8","zR4jO40bMj","bPywburJMS","BX1lVwlMe0","0kmYd0q39Y","s3Fd5m9Dh2","FlXk3pOYe8","1aApVXNlOP","HmxsFra2vL","GODebY97qR","AvED76WdY7"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","X99M06cbEe","Tw270M8GLb","fu6greOZ01","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","2DDjHMKMc0","xUOZtlo3hN","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","uBihLCJcMX","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2792","layer":4},{"info":"number node, value=2603","layer":4},{"info":"compute binary expreesion, left_input=2792, right_input=2603, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"number node, value=7974","layer":4},{"info":"compute unary expreesion, input=7974, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=-65001","layer":3},{"info":"compute binary expreesion, left_input=-319, right_input=-65001, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":2},{"info":"number node, value=4752","layer":4},{"info":"number node, value=2258","layer":4},{"info":"compute binary expreesion, left_input=4752, right_input=2258, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=4294","layer":3},{"info":"number node, value=4096","layer":4},{"info":"compute unary expreesion, input=4096, op_id = BX1lVwlMe0, unary_op_definition = 'a⇟⨁⪰ = { (⨞⊢(a⋝⋈⪟a)) }', output=-4270","layer":3},{"info":"compute binary expreesion, left_input=4294, right_input=-4270, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-4574","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-4574, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"number node, value=4532","layer":4},{"info":"compute unary expreesion, input=4532, op_id = FlXk3pOYe8, unary_op_definition = '⩎⋉a = { (((a/a)∲⫓(≛a))∴((a⩨a)⨳⩥⨓(⊄⩳↩a))) , if (a⩇∃⫛268)<=24 or a==244 or (↩⪖a)>=4 ; (((a⨔⇊a)∠↢(↸⊣a))≚⊃≕((≦∁a)⨐461)) , else }', output=1650","layer":3},{"info":"number node, value=5305","layer":4},{"info":"number node, value=4631","layer":4},{"info":"compute binary expreesion, left_input=5305, right_input=4631, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=-201","layer":3},{"info":"compute binary expreesion, left_input=1650, right_input=-201, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=-210","layer":2},{"info":"number node, value=2282","layer":4},{"info":"number node, value=2355","layer":4},{"info":"compute binary expreesion, left_input=2282, right_input=2355, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"number node, value=5628","layer":4},{"info":"compute unary expreesion, input=5628, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=32698","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=32698, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-210, right_input=0, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=-3063","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-3063, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉11066⨿≴∭⊉10406⫔⩽⩺(⨵≴∭⊉32151))∀⇚≩(≴∭⊉16566↼⊘⨖≴∭⊉6404⪶≀⋏(≴∭⊉14641⇟⨁⪰)))⪛((⩎⋉≴∭⊉16133)⊬⨰(≴∭⊉21316⩇∃⫛≴∭⊉16334))⩦(≴∭⊉6440⪟⇏≴∭⊉6603∙∹∝(⊵⊁≴∭⊉22260))=NaN","reverse_text":"NaN=((≴∭⊉11066⨿≴∭⊉10406⫔⩽⩺(⨵≴∭⊉32151))∀⇚≩(≴∭⊉16566↼⊘⨖≴∭⊉6404⪶≀⋏(≴∭⊉14641⇟⨁⪰)))⪛((⩎⋉≴∭⊉16133)⊬⨰(≴∭⊉21316⩇∃⫛≴∭⊉16334))⩦(≴∭⊉6440⪟⇏≴∭⊉6603∙∹∝(⊵⊁≴∭⊉22260))","cot":[{"info":"≴∭⊉11066⨿≴∭⊉10406=≴∭⊉-634","layer":3},{"info":"⨵≴∭⊉32151=≴∭⊉-360336","layer":3},{"info":"≴∭⊉-634⫔⩽⩺≴∭⊉-360336=NaN","layer":2},{"info":"≴∭⊉16566↼⊘⨖≴∭⊉6404=≴∭⊉15343","layer":3},{"info":"≴∭⊉14641⇟⨁⪰=≴∭⊉-15310","layer":3},{"info":"≴∭⊉15343⪶≀⋏≴∭⊉-15310=≴∭⊉-16223","layer":2},{"info":"NaN∀⇚≩≴∭⊉-16223=NaN","layer":1},{"info":"⩎⋉≴∭⊉16133=≴∭⊉4545","layer":3},{"info":"≴∭⊉21316⩇∃⫛≴∭⊉16334=≴∭⊉-405","layer":3},{"info":"≴∭⊉4545⊬⨰≴∭⊉-405=≴∭⊉-420","layer":2},{"info":"≴∭⊉6440⪟⇏≴∭⊉6603=≴∭⊉-1","layer":3},{"info":"⊵⊁≴∭⊉22260=≴∭⊉164221","layer":3},{"info":"≴∭⊉-1∙∹∝≴∭⊉164221=≴∭⊉0","layer":2},{"info":"≴∭⊉-420⩦≴∭⊉0=≴∭⊉-11634","layer":1},{"info":"NaN⪛≴∭⊉-11634=NaN","layer":0}]}
+{"id":881,"expression_no_base_symbol":"⩒∊((⊵⊁$2078$)≝⊿$2565$⇻⋧≁$1154$)∓⋝(($2382$⋾⨃∁$2215$)→⨶⪴($5483$∙⊟$1751$))","expression":"⩒∊((⊵⊁≴∭⊉6026)≝⊿≴∭⊉10323⇻⋧≁≴∭⊉3236)∓⋝((≴∭⊉6642⋾⨃∁≴∭⊉6313)→⨶⪴(≴∭⊉21662∙⊟≴∭⊉5051))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":10483,"operation_count":8,"complexity_ratio":1310.375,"tree":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"numeric_atoms","value":2078,"base":7}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":2565,"base":7},"right_expr":{"type":"numeric_atoms","value":1154,"base":7}}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":2382,"base":7},"right_expr":{"type":"numeric_atoms","value":2215,"base":7}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":5483,"base":7},"right_expr":{"type":"numeric_atoms","value":1751,"base":7}}}}},"used_operators":["qazvmhNBbN","PoHhknlbAi","OKKcZfAt5B","AvED76WdY7","jCPkEVoL5K","bF6eod5Gvf","212REbPD9h","SxTAKzQCrw"],"dependent_operators":["AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","12rbrZMWeM","uBihLCJcMX","k8jYdgA6NY","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","8w2t5hMYqp","9FxExcQeMw","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF"],"result":"≴∭⊉-1550","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2078","layer":4},{"info":"compute unary expreesion, input=2078, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=11398","layer":3},{"info":"number node, value=2565","layer":4},{"info":"number node, value=1154","layer":4},{"info":"compute binary expreesion, left_input=2565, right_input=1154, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=11398, right_input=-447, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-11037","layer":2},{"info":"number node, value=2382","layer":4},{"info":"number node, value=2215","layer":4},{"info":"compute binary expreesion, left_input=2382, right_input=2215, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=49035576","layer":3},{"info":"number node, value=5483","layer":4},{"info":"number node, value=1751","layer":4},{"info":"compute binary expreesion, left_input=5483, right_input=1751, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=81125","layer":3},{"info":"compute binary expreesion, left_input=49035576, right_input=81125, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-243375","layer":2},{"info":"compute binary expreesion, left_input=-11037, right_input=-243375, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":1},{"info":"compute unary expreesion, input=67, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=-623","layer":0}],"base":7,"result_base":7,"text":"⩒∊((⊵⊁≴∭⊉6026)≝⊿≴∭⊉10323⇻⋧≁≴∭⊉3236)∓⋝((≴∭⊉6642⋾⨃∁≴∭⊉6313)→⨶⪴(≴∭⊉21662∙⊟≴∭⊉5051))=≴∭⊉-1550","reverse_text":"≴∭⊉-1550=⩒∊((⊵⊁≴∭⊉6026)≝⊿≴∭⊉10323⇻⋧≁≴∭⊉3236)∓⋝((≴∭⊉6642⋾⨃∁≴∭⊉6313)→⨶⪴(≴∭⊉21662∙⊟≴∭⊉5051))","cot":[{"info":"⊵⊁≴∭⊉6026=≴∭⊉45142","layer":3},{"info":"≴∭⊉10323⇻⋧≁≴∭⊉3236=≴∭⊉-1206","layer":3},{"info":"≴∭⊉45142≝⊿≴∭⊉-1206=≴∭⊉-44115","layer":2},{"info":"≴∭⊉6642⋾⨃∁≴∭⊉6313=≴∭⊉1133536602","layer":3},{"info":"≴∭⊉21662∙⊟≴∭⊉5051=≴∭⊉455342","layer":3},{"info":"≴∭⊉1133536602→⨶⪴≴∭⊉455342=≴∭⊉-2032356","layer":2},{"info":"≴∭⊉-44115∓⋝≴∭⊉-2032356=≴∭⊉124","layer":1},{"info":"⩒∊≴∭⊉124=≴∭⊉-1550","layer":0}]}
+{"id":882,"expression_no_base_symbol":"(⇖((⇉-⫰$1769$)↙$3435$⋣⋖$5507$))⩼⇪↪(($7361$⪁$2433$)≨(⊥$2664$)⊬⨰((⋎⨆$2905$)⇼⇔∾$3083$∝$4469$))","expression":"(⇖((⇉-⫰≴∭⊉5105)↙≴∭⊉13005⋣⋖≴∭⊉22025))⩼⇪↪((≴∭⊉30314⪁≴∭⊉10044)≨(⊥≴∭⊉10524)⊬⨰((⋎⨆≴∭⊉11320)⇼⇔∾≴∭⊉11663∝≴∭⊉16013))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":118520396,"operation_count":12,"complexity_ratio":9876699.666666666,"tree":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"numeric_atoms","value":1769,"base":7}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":3435,"base":7},"right_expr":{"type":"numeric_atoms","value":5507,"base":7}}}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":7361,"base":7},"right_expr":{"type":"numeric_atoms","value":2433,"base":7}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":2664,"base":7}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"numeric_atoms","value":2905,"base":7}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":3083,"base":7},"right_expr":{"type":"numeric_atoms","value":4469,"base":7}}}}},"used_operators":["ocnLzx9CaJ","tfWHHpNKUN","yyfyN0ffXY","IGFM8TAlm9","J0M6qkBnIM","s3Fd5m9Dh2","0KMCeP1Jsh","I7sXao9hZE","Q3PJZHRvZv","tifHPKVTfV","E64sFOc4tB","cTDWOvIxvz"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","2DQ55sFlQl","tmPS8pqC7x","DpFCA1CohY","eH2TOUuTDT","eewbuw0ToL","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","fu6greOZ01","rysDP5nf3Z","t8gj7n24qd","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","7j4O788W3g","W4YGzv6Whe","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1769","layer":4},{"info":"compute unary expreesion, input=1769, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":3},{"info":"number node, value=3435","layer":4},{"info":"number node, value=5507","layer":4},{"info":"compute binary expreesion, left_input=3435, right_input=5507, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=3435","layer":3},{"info":"compute binary expreesion, left_input=20, right_input=3435, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=20","layer":2},{"info":"compute unary expreesion, input=20, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":1},{"info":"number node, value=7361","layer":4},{"info":"number node, value=2433","layer":4},{"info":"compute binary expreesion, left_input=7361, right_input=2433, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"number node, value=2664","layer":4},{"info":"compute unary expreesion, input=2664, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=nan","layer":2},{"info":"number node, value=2905","layer":4},{"info":"compute unary expreesion, input=2905, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=0","layer":3},{"info":"number node, value=3083","layer":4},{"info":"number node, value=4469","layer":4},{"info":"compute binary expreesion, left_input=3083, right_input=4469, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=3088","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=3088, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=3088","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3088, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(⇖((⇉-⫰≴∭⊉5105)↙≴∭⊉13005⋣⋖≴∭⊉22025))⩼⇪↪((≴∭⊉30314⪁≴∭⊉10044)≨(⊥≴∭⊉10524)⊬⨰((⋎⨆≴∭⊉11320)⇼⇔∾≴∭⊉11663∝≴∭⊉16013))=NaN","reverse_text":"NaN=(⇖((⇉-⫰≴∭⊉5105)↙≴∭⊉13005⋣⋖≴∭⊉22025))⩼⇪↪((≴∭⊉30314⪁≴∭⊉10044)≨(⊥≴∭⊉10524)⊬⨰((⋎⨆≴∭⊉11320)⇼⇔∾≴∭⊉11663∝≴∭⊉16013))","cot":[{"info":"⇉-⫰≴∭⊉5105=≴∭⊉26","layer":3},{"info":"≴∭⊉13005⋣⋖≴∭⊉22025=≴∭⊉13005","layer":3},{"info":"≴∭⊉26↙≴∭⊉13005=≴∭⊉26","layer":2},{"info":"⇖≴∭⊉26=≴∭⊉316","layer":1},{"info":"≴∭⊉30314⪁≴∭⊉10044=NaN","layer":3},{"info":"⊥≴∭⊉10524=NaN","layer":3},{"info":"NaN≨NaN=NaN","layer":2},{"info":"⋎⨆≴∭⊉11320=≴∭⊉0","layer":3},{"info":"≴∭⊉11663∝≴∭⊉16013=≴∭⊉12001","layer":3},{"info":"≴∭⊉0⇼⇔∾≴∭⊉12001=≴∭⊉12001","layer":2},{"info":"NaN⊬⨰≴∭⊉12001=NaN","layer":1},{"info":"≴∭⊉316⩼⇪↪NaN=NaN","layer":0}]}
+{"id":883,"expression_no_base_symbol":"(($1905$⋳⪒$6537$⪁$3362$→⨶⪴$1430$)⩘⨬⇊)⩺⪪((($6313$⊴⇁⪶)⫸⊐$3297$⨔⇊$3751$)≑≱⪘)","expression":"((≴∭⊉5361⋳⪒≴∭⊉25026⪁≴∭⊉12542→⨶⪴≴∭⊉4112)⩘⨬⇊)⩺⪪(((≴∭⊉24256⊴⇁⪶)⫸⊐≴∭⊉12420⨔⇊≴∭⊉13636)≑≱⪘)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":216858248,"operation_count":9,"complexity_ratio":24095360.888888888,"tree":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"unary","operator":"⩘⨬⇊","unary_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1905,"base":7},"right_expr":{"type":"numeric_atoms","value":6537,"base":7}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":3362,"base":7},"right_expr":{"type":"numeric_atoms","value":1430,"base":7}}}},"right_expr":{"type":"unary","operator":"≑≱⪘","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⊴⇁⪶","unary_expr":{"type":"numeric_atoms","value":6313,"base":7}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":3297,"base":7},"right_expr":{"type":"numeric_atoms","value":3751,"base":7}}}}},"used_operators":["uvdQJvN4PV","XXmTpEpWTW","I7sXao9hZE","12rbrZMWeM","bF6eod5Gvf","tGSeddj7UK","mqXw5SEYmG","oo9mF6JIpo","JclMnS0uGI"],"dependent_operators":["Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","rxpJgHHUmx","HnzytWxmAO","8cLx32lpNA","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","9FxExcQeMw","9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","L05ObWFQCd","oacrs7FA3X","2Wsdkap16l","zR4jO40bMj","HrjLwUk87U","YSKBFp38Pu","cHh1gJQ2o6","tmPS8pqC7x","YbVcJGFEVW","12rbrZMWeM","DmTXOeWf9t","RhiyfpczSx","uOZ1tnYMDE","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1905","layer":4},{"info":"number node, value=6537","layer":4},{"info":"compute binary expreesion, left_input=1905, right_input=6537, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-3014","layer":3},{"info":"number node, value=3362","layer":4},{"info":"number node, value=1430","layer":4},{"info":"compute binary expreesion, left_input=3362, right_input=1430, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-4290","layer":3},{"info":"compute binary expreesion, left_input=-3014, right_input=-4290, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = XXmTpEpWTW, unary_op_definition = 'a⩘⨬⇊ = { ((a⇴∐a)∌(a≭31)) }', output=nan","layer":1},{"info":"number node, value=6313","layer":4},{"info":"compute unary expreesion, input=6313, op_id = oo9mF6JIpo, unary_op_definition = 'a⊴⇁⪶ = { (⊗((157⇤a)⋳⪒(a⨪↰⇹a))) , if ((a⪶≀⋏180)>=510 or (a⩘665)!=249) ; (((a⪍↜⋙a)≃(a⪚343))⪘⫢((a⩹a)⊲⩕⊾(⩏⊷≩a))) , else }', output=131208","layer":3},{"info":"number node, value=3297","layer":4},{"info":"number node, value=3751","layer":4},{"info":"compute binary expreesion, left_input=3297, right_input=3751, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=3751","layer":3},{"info":"compute binary expreesion, left_input=131208, right_input=3751, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=14879","layer":2},{"info":"compute unary expreesion, input=14879, op_id = tGSeddj7UK, unary_op_definition = 'a≑≱⪘ = { ((⊄⩳↩(6≧⫂∧a))⩍⋽⫝̸((a⊲⩕⊾a)≦↸(a⋆⋳))) , if (a↹⊜255)>=30 or (a↯⫤)>122 ; ((a⩷∴(a⪒⊣⊆a))⨽(a⊬⫿⊭)) , else }', output=383219","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=383219, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉5361⋳⪒≴∭⊉25026⪁≴∭⊉12542→⨶⪴≴∭⊉4112)⩘⨬⇊)⩺⪪(((≴∭⊉24256⊴⇁⪶)⫸⊐≴∭⊉12420⨔⇊≴∭⊉13636)≑≱⪘)=NaN","reverse_text":"NaN=((≴∭⊉5361⋳⪒≴∭⊉25026⪁≴∭⊉12542→⨶⪴≴∭⊉4112)⩘⨬⇊)⩺⪪(((≴∭⊉24256⊴⇁⪶)⫸⊐≴∭⊉12420⨔⇊≴∭⊉13636)≑≱⪘)","cot":[{"info":"≴∭⊉5361⋳⪒≴∭⊉25026=≴∭⊉-11534","layer":3},{"info":"≴∭⊉12542→⨶⪴≴∭⊉4112=≴∭⊉-15336","layer":3},{"info":"≴∭⊉-11534⪁≴∭⊉-15336=NaN","layer":2},{"info":"NaN⩘⨬⇊=NaN","layer":1},{"info":"≴∭⊉24256⊴⇁⪶=≴∭⊉1054350","layer":3},{"info":"≴∭⊉12420⨔⇊≴∭⊉13636=≴∭⊉13636","layer":3},{"info":"≴∭⊉1054350⫸⊐≴∭⊉13636=≴∭⊉61244","layer":2},{"info":"≴∭⊉61244≑≱⪘=≴∭⊉3154154","layer":1},{"info":"NaN⩺⪪≴∭⊉3154154=NaN","layer":0}]}
+{"id":884,"expression_no_base_symbol":"($6162$∇⊂⋱$3764$⊋≦⊧($1242$⇆⨓≜)⩺⪪($5556$∑⇟⊟$7208$⨵⪆$2424$⇤$1122$))↓((⨵≀≌$1973$↼⊘⨖$2173$)∷(⇺⋃($1437$↢$1903$)))","expression":"(≴∭⊉23652∇⊂⋱≴∭⊉13655⊋≦⊧(≴∭⊉3423⇆⨓≜)⩺⪪(≴∭⊉22125∑⇟⊟≴∭⊉30005⨵⪆≴∭⊉10032⇤≴∭⊉3162))↓((⨵≀≌≴∭⊉5516↼⊘⨖≴∭⊉6223)∷(⇺⋃(≴∭⊉4122↢≴∭⊉5356)))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":790651,"operation_count":13,"complexity_ratio":60819.307692307695,"tree":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":6162,"base":7},"right_expr":{"type":"numeric_atoms","value":3764,"base":7}},"right_expr":{"type":"unary","operator":"⇆⨓≜","unary_expr":{"type":"numeric_atoms","value":1242,"base":7}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":5556,"base":7},"right_expr":{"type":"numeric_atoms","value":7208,"base":7}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":2424,"base":7},"right_expr":{"type":"numeric_atoms","value":1122,"base":7}}}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":1973,"base":7},"right_expr":{"type":"numeric_atoms","value":2173,"base":7}}},"right_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":1437,"base":7},"right_expr":{"type":"numeric_atoms","value":1903,"base":7}}}}},"used_operators":["Af076pWI7l","uvdQJvN4PV","oRDoc9rAEX","nhYeJWJD5X","KvvgdUaMHJ","2DQ55sFlQl","U7g4x0WXJJ","YSKBFp38Pu","D3AQDKkPcf","srAu1WTS94","bPywburJMS","E5v5B3UAjG","WR6HLWljOP"],"dependent_operators":["nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","Uaa54Peajs","KYD54nUTWz","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","9FxExcQeMw","NTOWxs364D","7j4O788W3g","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C"],"result":"≴∭⊉-251","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6162","layer":4},{"info":"number node, value=3764","layer":4},{"info":"compute binary expreesion, left_input=6162, right_input=3764, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=11778","layer":3},{"info":"number node, value=1242","layer":4},{"info":"compute unary expreesion, input=1242, op_id = KvvgdUaMHJ, unary_op_definition = 'a⇆⨓≜ = { (∂(a⫥∨⫟a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=11778, right_input=nan, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=nan","layer":2},{"info":"number node, value=5556","layer":4},{"info":"number node, value=7208","layer":4},{"info":"compute binary expreesion, left_input=5556, right_input=7208, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=2424","layer":4},{"info":"number node, value=1122","layer":4},{"info":"compute binary expreesion, left_input=2424, right_input=1122, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-14882","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-14882, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=nan","layer":1},{"info":"number node, value=1973","layer":4},{"info":"number node, value=2173","layer":4},{"info":"compute binary expreesion, left_input=1973, right_input=2173, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=4124","layer":3},{"info":"compute unary expreesion, input=4124, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-12372","layer":2},{"info":"number node, value=1437","layer":4},{"info":"number node, value=1903","layer":4},{"info":"compute binary expreesion, left_input=1437, right_input=1903, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=953","layer":3},{"info":"compute unary expreesion, input=953, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=4209","layer":2},{"info":"compute binary expreesion, left_input=-12372, right_input=4209, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=4209","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=4209, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉23652∇⊂⋱≴∭⊉13655⊋≦⊧(≴∭⊉3423⇆⨓≜)⩺⪪(≴∭⊉22125∑⇟⊟≴∭⊉30005⨵⪆≴∭⊉10032⇤≴∭⊉3162))↓((⨵≀≌≴∭⊉5516↼⊘⨖≴∭⊉6223)∷(⇺⋃(≴∭⊉4122↢≴∭⊉5356)))=≴∭⊉-251","reverse_text":"≴∭⊉-251=(≴∭⊉23652∇⊂⋱≴∭⊉13655⊋≦⊧(≴∭⊉3423⇆⨓≜)⩺⪪(≴∭⊉22125∑⇟⊟≴∭⊉30005⨵⪆≴∭⊉10032⇤≴∭⊉3162))↓((⨵≀≌≴∭⊉5516↼⊘⨖≴∭⊉6223)∷(⇺⋃(≴∭⊉4122↢≴∭⊉5356)))","cot":[{"info":"≴∭⊉23652∇⊂⋱≴∭⊉13655=≴∭⊉46224","layer":3},{"info":"≴∭⊉3423⇆⨓≜=NaN","layer":3},{"info":"≴∭⊉46224⊋≦⊧NaN=NaN","layer":2},{"info":"≴∭⊉22125∑⇟⊟≴∭⊉30005=NaN","layer":3},{"info":"≴∭⊉10032⇤≴∭⊉3162=≴∭⊉-61250","layer":3},{"info":"NaN⨵⪆≴∭⊉-61250=≴∭⊉316","layer":2},{"info":"NaN⩺⪪≴∭⊉316=NaN","layer":1},{"info":"≴∭⊉5516↼⊘⨖≴∭⊉6223=≴∭⊉15011","layer":3},{"info":"⨵≀≌≴∭⊉15011=≴∭⊉-51033","layer":2},{"info":"≴∭⊉4122↢≴∭⊉5356=≴∭⊉2531","layer":3},{"info":"⇺⋃≴∭⊉2531=≴∭⊉15162","layer":2},{"info":"≴∭⊉-51033∷≴∭⊉15162=≴∭⊉15162","layer":1},{"info":"NaN↓≴∭⊉15162=≴∭⊉-251","layer":0}]}
+{"id":885,"expression_no_base_symbol":"(⪨⨬(($4676$+$6294$)⫔⩽⩺$4103$∛$1717$))≑≱⪘","expression":"(⪨⨬((≴∭⊉16430+≴∭⊉24231)⫔⩽⩺≴∭⊉14651∛≴∭⊉5002))≑≱⪘","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":456631,"operation_count":5,"complexity_ratio":91326.2,"tree":{"type":"unary","operator":"≑≱⪘","unary_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":4676,"base":7},"right_expr":{"type":"numeric_atoms","value":6294,"base":7}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":4103,"base":7},"right_expr":{"type":"numeric_atoms","value":1717,"base":7}}}}},"used_operators":["tGSeddj7UK","5obUd6DV38","i9eR4S00cU","W4YGzv6Whe","w2537kitQq"],"dependent_operators":["9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn","T2fj7uvVaJ","nlCqmYiOvY","Tw270M8GLb","fu6greOZ01","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=4676","layer":4},{"info":"number node, value=6294","layer":4},{"info":"compute binary expreesion, left_input=4676, right_input=6294, op_id = W4YGzv6Whe binary_op_definition= 'None', output=10970","layer":3},{"info":"number node, value=4103","layer":4},{"info":"number node, value=1717","layer":4},{"info":"compute binary expreesion, left_input=4103, right_input=1717, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"compute binary expreesion, left_input=10970, right_input=-670, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = tGSeddj7UK, unary_op_definition = 'a≑≱⪘ = { ((⊄⩳↩(6≧⫂∧a))⩍⋽⫝̸((a⊲⩕⊾a)≦↸(a⋆⋳))) , if (a↹⊜255)>=30 or (a↯⫤)>122 ; ((a⩷∴(a⪒⊣⊆a))⨽(a⊬⫿⊭)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(⪨⨬((≴∭⊉16430+≴∭⊉24231)⫔⩽⩺≴∭⊉14651∛≴∭⊉5002))≑≱⪘=NaN","reverse_text":"NaN=(⪨⨬((≴∭⊉16430+≴∭⊉24231)⫔⩽⩺≴∭⊉14651∛≴∭⊉5002))≑≱⪘","cot":[{"info":"≴∭⊉16430+≴∭⊉24231=≴∭⊉43661","layer":3},{"info":"≴∭⊉14651∛≴∭⊉5002=≴∭⊉-1645","layer":3},{"info":"≴∭⊉43661⫔⩽⩺≴∭⊉-1645=NaN","layer":2},{"info":"⪨⨬NaN=NaN","layer":1},{"info":"NaN≑≱⪘=NaN","layer":0}]}
+{"id":886,"expression_no_base_symbol":"(($3755$≓∲$6828$)↤⩊($1576$∺≝⩲$4186$)⊋≦⊧(⪸(↽≂$1619$)))⇴∐((($1382$⋭≵$3543$)⫥∨⫟(⪫⨮⊛$2506$))⊨(($1289$⩤)⫔⩽⩺$1529$≴⪞⇿$1137$))","expression":"((≴∭⊉13643≓∲≴∭⊉25623)↤⩊(≴∭⊉4411∺≝⩲≴∭⊉15130)⊋≦⊧(⪸(↽≂≴∭⊉4502)))⇴∐(((≴∭⊉4013⋭≵≴∭⊉13221)⫥∨⫟(⪫⨮⊛≴∭⊉10210))⊨((≴∭⊉3521⩤)⫔⩽⩺≴∭⊉4313≴⪞⇿≴∭⊉3213))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1510935,"operation_count":14,"complexity_ratio":107923.92857142857,"tree":{"type":"binary","operator":"⇴∐","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":3755,"base":7},"right_expr":{"type":"numeric_atoms","value":6828,"base":7}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":1576,"base":7},"right_expr":{"type":"numeric_atoms","value":4186,"base":7}}},"right_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1619,"base":7}}}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":1382,"base":7},"right_expr":{"type":"numeric_atoms","value":3543,"base":7}},"right_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"numeric_atoms","value":2506,"base":7}}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":1289,"base":7}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":1529,"base":7},"right_expr":{"type":"numeric_atoms","value":1137,"base":7}}}}},"used_operators":["HnzytWxmAO","oRDoc9rAEX","13rbtpv6ld","s1XTVnmDOJ","KPf6cnQVty","86A5ENbKR9","u6S6b8DprG","vg4gO5BX6G","KYD54nUTWz","jBncVCNhdl","w5FWba1tyO","i9eR4S00cU","Z2TMIBDE3Q","lvlrscuwVU"],"dependent_operators":["2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","8HhzD0ZcuI","rGHVDoGpnC","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","Tw270M8GLb","fu6greOZ01","rysDP5nf3Z","t8gj7n24qd","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3755","layer":4},{"info":"number node, value=6828","layer":4},{"info":"compute binary expreesion, left_input=3755, right_input=6828, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=38333","layer":3},{"info":"number node, value=1576","layer":4},{"info":"number node, value=4186","layer":4},{"info":"compute binary expreesion, left_input=1576, right_input=4186, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=38333, right_input=160, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":2},{"info":"number node, value=1619","layer":4},{"info":"compute unary expreesion, input=1619, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-3238","layer":3},{"info":"compute unary expreesion, input=-3238, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=30482","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=30482, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=nan","layer":1},{"info":"number node, value=1382","layer":4},{"info":"number node, value=3543","layer":4},{"info":"compute binary expreesion, left_input=1382, right_input=3543, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"number node, value=2506","layer":4},{"info":"compute unary expreesion, input=2506, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=1289","layer":4},{"info":"compute unary expreesion, input=1289, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1289","layer":3},{"info":"number node, value=1529","layer":4},{"info":"number node, value=1137","layer":4},{"info":"compute binary expreesion, left_input=1529, right_input=1137, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=3155306","layer":3},{"info":"compute binary expreesion, left_input=-1289, right_input=3155306, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉13643≓∲≴∭⊉25623)↤⩊(≴∭⊉4411∺≝⩲≴∭⊉15130)⊋≦⊧(⪸(↽≂≴∭⊉4502)))⇴∐(((≴∭⊉4013⋭≵≴∭⊉13221)⫥∨⫟(⪫⨮⊛≴∭⊉10210))⊨((≴∭⊉3521⩤)⫔⩽⩺≴∭⊉4313≴⪞⇿≴∭⊉3213))=NaN","reverse_text":"NaN=((≴∭⊉13643≓∲≴∭⊉25623)↤⩊(≴∭⊉4411∺≝⩲≴∭⊉15130)⊋≦⊧(⪸(↽≂≴∭⊉4502)))⇴∐(((≴∭⊉4013⋭≵≴∭⊉13221)⫥∨⫟(⪫⨮⊛≴∭⊉10210))⊨((≴∭⊉3521⩤)⫔⩽⩺≴∭⊉4313≴⪞⇿≴∭⊉3213))","cot":[{"info":"≴∭⊉13643≓∲≴∭⊉25623=≴∭⊉216521","layer":3},{"info":"≴∭⊉4411∺≝⩲≴∭⊉15130=≴∭⊉316","layer":3},{"info":"≴∭⊉216521↤⩊≴∭⊉316=NaN","layer":2},{"info":"↽≂≴∭⊉4502=≴∭⊉-12304","layer":3},{"info":"⪸≴∭⊉-12304=≴∭⊉154604","layer":2},{"info":"NaN⊋≦⊧≴∭⊉154604=NaN","layer":1},{"info":"≴∭⊉4013⋭≵≴∭⊉13221=≴∭⊉124","layer":3},{"info":"⪫⨮⊛≴∭⊉10210=NaN","layer":3},{"info":"≴∭⊉124⫥∨⫟NaN=NaN","layer":2},{"info":"≴∭⊉3521⩤=≴∭⊉-3521","layer":3},{"info":"≴∭⊉4313≴⪞⇿≴∭⊉3213=≴∭⊉35551100","layer":3},{"info":"≴∭⊉-3521⫔⩽⩺≴∭⊉35551100=NaN","layer":2},{"info":"NaN⊨NaN=NaN","layer":1},{"info":"NaN⇴∐NaN=NaN","layer":0}]}
+{"id":887,"expression_no_base_symbol":"⇜(($3977$↺$1188$∲⫓(⊊≼∋$3637$))⇮⋭($3810$≥⨤⩑$5293$)≎⪠($1540$≌$2925$))","expression":"⇜((≴∭⊉14411↺≴∭⊉3315���⫓(⊊≼∋≴∭⊉13414))⇮⋭(≴∭⊉14052≥⨤⩑≴∭⊉21301)≎⪠(≴∭⊉4330≌≴∭⊉11346))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":27293,"operation_count":8,"complexity_ratio":3411.625,"tree":{"type":"unary","operator":"⇜","unary_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":3977,"base":7},"right_expr":{"type":"numeric_atoms","value":1188,"base":7}},"right_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"numeric_atoms","value":3637,"base":7}}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":3810,"base":7},"right_expr":{"type":"numeric_atoms","value":5293,"base":7}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":1540,"base":7},"right_expr":{"type":"numeric_atoms","value":2925,"base":7}}}}},"used_operators":["lFBm8KRb8F","vkpjKywKVM","i8ToyICDmI","7j4O788W3g","FWz7pXsQhA","aNhz54LH3e","gJLn6v0xnP","lyWz822IDG"],"dependent_operators":["s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","jCPkEVoL5K","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU"],"result":"≴∭⊉451","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=3977","layer":4},{"info":"number node, value=1188","layer":4},{"info":"compute binary expreesion, left_input=3977, right_input=1188, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1188","layer":3},{"info":"number node, value=3637","layer":4},{"info":"compute unary expreesion, input=3637, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=1188, right_input=-447, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=1188","layer":2},{"info":"number node, value=3810","layer":4},{"info":"number node, value=5293","layer":4},{"info":"compute binary expreesion, left_input=3810, right_input=5293, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"number node, value=1540","layer":4},{"info":"number node, value=2925","layer":4},{"info":"compute binary expreesion, left_input=1540, right_input=2925, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=nan, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":2},{"info":"compute binary expreesion, left_input=1188, right_input=19558, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":1},{"info":"compute unary expreesion, input=-473, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=232","layer":0}],"base":7,"result_base":7,"text":"⇜((≴∭⊉14411↺≴∭⊉3315∲⫓(⊊≼∋≴∭⊉13414))⇮⋭(≴∭⊉14052≥⨤⩑≴∭⊉21301)≎⪠(≴∭⊉4330≌≴∭⊉11346))=≴∭⊉451","reverse_text":"≴∭⊉451=⇜((≴∭⊉14411↺≴∭⊉3315∲⫓(⊊≼∋≴∭⊉13414))⇮⋭(≴∭⊉14052≥⨤⩑≴∭⊉21301)≎⪠(≴∭⊉4330≌≴∭⊉11346))","cot":[{"info":"≴∭⊉14411↺≴∭⊉3315=≴∭⊉3315","layer":3},{"info":"⊊≼∋≴∭⊉13414=≴∭⊉-1206","layer":3},{"info":"≴∭⊉3315∲⫓≴∭⊉-1206=≴∭⊉3315","layer":2},{"info":"≴∭⊉14052≥⨤⩑≴∭⊉21301=≴∭⊉3412","layer":3},{"info":"≴∭⊉4330≌≴∭⊉11346=NaN","layer":3},{"info":"≴∭⊉3412≎⪠NaN=≴∭⊉111010","layer":2},{"info":"≴∭⊉3315⇮⋭≴∭⊉111010=≴∭⊉-1244","layer":1},{"info":"⇜≴∭⊉-1244=≴∭⊉451","layer":0}]}
+{"id":888,"expression_no_base_symbol":"∟⋨(((⫓⪴$1491$)⫢⨠(⊢≑≆$4411$))⫘((∮$1100$)⪑⩈))","expression":"∟⋨(((⫓⪴≴∭⊉4230)⫢⨠(⊢≑≆≴∭⊉15601))⫘((∮≴∭⊉3131)⪑⩈))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":198572,"operation_count":7,"complexity_ratio":28367.428571428572,"tree":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1491,"base":7}},"right_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"numeric_atoms","value":4411,"base":7}}},"right_expr":{"type":"unary","operator":"⪑⩈","unary_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"numeric_atoms","value":1100,"base":7}}}}},"used_operators":["ctOc4cKSDt","48vC8HMD2b","xlXykHWxX1","eLxqMNBOBk","27wFxooxGf","C6VvDP6HwP","CqXKPLVYql"],"dependent_operators":["eLAdDNolq6","tmPS8pqC7x","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","9HNa5Wba9A","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","9FxExcQeMw","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","Z2TMIBDE3Q","i8ToyICDmI","eewbuw0ToL","2td37pGCOC","QMFrweE19q","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL"],"result":"≴∭⊉-1443355","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1491","layer":4},{"info":"compute unary expreesion, input=1491, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=2223081","layer":3},{"info":"number node, value=4411","layer":4},{"info":"compute unary expreesion, input=4411, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=18096","layer":3},{"info":"compute binary expreesion, left_input=2223081, right_input=18096, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":2},{"info":"number node, value=1100","layer":4},{"info":"compute unary expreesion, input=1100, op_id = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=67","layer":3},{"info":"compute unary expreesion, input=67, op_id = C6VvDP6HwP, unary_op_definition = 'a⪑⩈ = { (((a⫡⨏a)⩚⊴⇥(477⪨≂185))⇼⇔∾(⩦⩻⨪(a∲⫓a))) , if (a⨰851)>=379 ; (((a⩷∴a)⩤)⨰a) , else }', output=-25","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-25, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=196181","layer":1},{"info":"compute unary expreesion, input=196181, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-195697","layer":0}],"base":7,"result_base":7,"text":"∟⋨(((⫓⪴≴∭⊉4230)⫢⨠(⊢≑≆≴∭⊉15601))⫘((∮≴∭⊉3131)⪑⩈))=≴∭⊉-1443355","reverse_text":"≴∭⊉-1443355=∟⋨(((⫓⪴≴∭⊉4230)⫢⨠(⊢≑≆≴∭⊉15601))⫘((∮≴∭⊉3131)⪑⩈))","cot":[{"info":"⫓⪴≴∭⊉4230=≴∭⊉24616200","layer":3},{"info":"⊢≑≆≴∭⊉15601=≴∭⊉103521","layer":3},{"info":"≴∭⊉24616200⫢⨠≴∭⊉103521=≴∭⊉316","layer":2},{"info":"∮≴∭⊉3131=≴∭⊉124","layer":3},{"info":"≴∭⊉124⪑⩈=≴∭⊉-34","layer":2},{"info":"≴∭⊉316⫘≴∭⊉-34=≴∭⊉1444646","layer":1},{"info":"∟⋨≴∭⊉1444646=≴∭⊉-1443355","layer":0}]}
+{"id":889,"expression_no_base_symbol":"⇖(⫶⊄≣(($5205$⫡⨏$2171$)⫔⩽⩺($6450$⇉⇱⇎)))","expression":"⇖(⫶⊄≣((≴∭⊉21114⫡⨏≴∭⊉6221)⫔⩽⩺(≴∭⊉24543⇉⇱⇎)))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":105,"operation_count":5,"complexity_ratio":21.0,"tree":{"type":"unary","operator":"⇖","unary_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":5205,"base":7},"right_expr":{"type":"numeric_atoms","value":2171,"base":7}},"right_expr":{"type":"unary","operator":"⇉⇱⇎","unary_expr":{"type":"numeric_atoms","value":6450,"base":7}}}}},"used_operators":["tfWHHpNKUN","wxb3vTeyAj","i9eR4S00cU","QMFrweE19q","MRPaB8lBjK"],"dependent_operators":["2DQ55sFlQl","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","Tw270M8GLb","fu6greOZ01","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","QiR2Oyf5Xj","uFcxV4UQCh","EWw2JM7wp4","t8gj7n24qd","keWfFq85dY"],"result":"≴∭⊉316","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5205","layer":4},{"info":"number node, value=2171","layer":4},{"info":"compute binary expreesion, left_input=5205, right_input=2171, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=31150","layer":3},{"info":"number node, value=6450","layer":4},{"info":"compute unary expreesion, input=6450, op_id = MRPaB8lBjK, unary_op_definition = 'a⇉⇱⇎ = { (((a/a)⪉⨛(≯757))⪛(∷≠(-a))) }', output=-6232","layer":3},{"info":"compute binary expreesion, left_input=31150, right_input=-6232, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":0}],"base":7,"result_base":7,"text":"⇖(⫶⊄≣((≴∭⊉21114⫡⨏≴∭⊉6221)⫔⩽⩺(≴∭⊉24543⇉⇱⇎)))=≴∭⊉316","reverse_text":"≴∭⊉316=⇖(⫶⊄≣((≴∭⊉21114⫡⨏≴∭⊉6221)⫔⩽⩺(≴∭⊉24543⇉⇱⇎)))","cot":[{"info":"≴∭⊉21114⫡⨏≴∭⊉6221=≴∭⊉156550","layer":3},{"info":"≴∭⊉24543⇉⇱⇎=≴∭⊉-24112","layer":3},{"info":"≴∭⊉156550⫔⩽⩺≴∭⊉-24112=NaN","layer":2},{"info":"⫶⊄≣NaN=NaN","layer":1},{"info":"⇖NaN=≴∭⊉316","layer":0}]}
+{"id":890,"expression_no_base_symbol":"⊗(((⩦⊞$7604$)∲⫓$1086$⋕⪉⪜$7908$)⇀∌)","expression":"⊗(((⩦⊞≴∭⊉31112)∲⫓≴∭⊉3111⋕⪉⪜≴∭⊉32025)⇀∌)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":237,"operation_count":5,"complexity_ratio":47.4,"tree":{"type":"unary","operator":"⊗","unary_expr":{"type":"unary","operator":"⇀∌","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"numeric_atoms","value":7604,"base":7}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":1086,"base":7},"right_expr":{"type":"numeric_atoms","value":7908,"base":7}}}}},"used_operators":["RhiyfpczSx","2k53nXOpI5","i8ToyICDmI","u7fv1HBiaC","z6LnFrNh4i"],"dependent_operators":["nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","Q3PJZHRvZv","ddLRYrp01A","AcOhelriW5","7t3wd0Fuz7","3tVxb0NHM4","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z"],"result":"≴∭⊉531","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=7604","layer":4},{"info":"compute unary expreesion, input=7604, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-7331","layer":3},{"info":"number node, value=1086","layer":4},{"info":"number node, value=7908","layer":4},{"info":"compute binary expreesion, left_input=1086, right_input=7908, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":3},{"info":"compute binary expreesion, left_input=-7331, right_input=204, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-7331","layer":2},{"info":"compute unary expreesion, input=-7331, op_id = 2k53nXOpI5, unary_op_definition = 'a⇀∌ = { ((a⪎↠(⨣⨃⇪a))⋥⋵⩄(a∊∟⩊(⊥a))) }', output=113","layer":1},{"info":"compute unary expreesion, input=113, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=267","layer":0}],"base":7,"result_base":7,"text":"⊗(((⩦⊞≴∭⊉31112)∲⫓≴∭⊉3111⋕⪉⪜≴∭⊉32025)⇀∌)=≴∭⊉531","reverse_text":"≴∭⊉531=⊗(((⩦⊞≴∭⊉31112)∲⫓≴∭⊉3111⋕⪉⪜≴∭⊉32025)⇀∌)","cot":[{"info":"⩦⊞≴∭⊉31112=≴∭⊉-30242","layer":3},{"info":"≴∭⊉3111⋕⪉⪜≴∭⊉32025=≴∭⊉411","layer":3},{"info":"≴∭⊉-30242∲⫓≴∭⊉411=≴∭⊉-30242","layer":2},{"info":"≴∭⊉-30242⇀∌=≴∭⊉221","layer":1},{"info":"⊗≴∭⊉221=≴∭⊉531","layer":0}]}
+{"id":891,"expression_no_base_symbol":"($4738$⪢$6214$)⩦(⩷⨜⫀$4400$)⩌⋺($6671$⨂≜$1917$⇣⩺⋵($1365$⪭≯$3113$))⪘⫢((⩒∊($4377$⪊≅))⩧⪆(⪫⨮⊛$2297$)⨽∌($2050$+$1994$))","expression":"(≴∭⊉16546⪢≴∭⊉24055)⩦(⩷⨜⫀≴∭⊉15554)⩌⋺(≴∭⊉25310⨂≜≴∭⊉5406⇣⩺⋵(≴∭⊉3660⪭≯≴∭⊉12035))⪘⫢((⩒∊(≴∭⊉15522⪊≅))⩧⪆(⪫⨮⊛≴∭⊉6461)⨽∌(≴∭⊉5656+≴∭⊉5546))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1395270,"operation_count":14,"complexity_ratio":99662.14285714286,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":4738,"base":7},"right_expr":{"type":"numeric_atoms","value":6214,"base":7}},"right_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"numeric_atoms","value":4400,"base":7}}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":6671,"base":7},"right_expr":{"type":"numeric_atoms","value":1917,"base":7}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":1365,"base":7},"right_expr":{"type":"numeric_atoms","value":3113,"base":7}}}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"unary","operator":"⪊≅","unary_expr":{"type":"numeric_atoms","value":4377,"base":7}}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"numeric_atoms","value":2297,"base":7}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2050,"base":7},"right_expr":{"type":"numeric_atoms","value":1994,"base":7}}}}},"used_operators":["oacrs7FA3X","g7Hmc5v1ko","0kmYd0q39Y","dWAJyo7jo9","CDi0ktkjQ4","F4yD0voBRQ","k1SHOSEABc","XAx5wpdLa6","Ikt5ks8PT7","qazvmhNBbN","bjFbhXSADs","9samAPKr6k","w5FWba1tyO","W4YGzv6Whe"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","k8jYdgA6NY","ruOEQAzv1W","nhYeJWJD5X","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","eewbuw0ToL","t8gj7n24qd","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","COABgblf1C","JLbD19bQDL","nCS4ZIUYfx","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4738","layer":4},{"info":"number node, value=6214","layer":4},{"info":"compute binary expreesion, left_input=4738, right_input=6214, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=4400","layer":4},{"info":"compute unary expreesion, input=4400, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-4127","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4127, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=nan","layer":2},{"info":"number node, value=6671","layer":4},{"info":"number node, value=1917","layer":4},{"info":"compute binary expreesion, left_input=6671, right_input=1917, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"number node, value=1365","layer":4},{"info":"number node, value=3113","layer":4},{"info":"compute binary expreesion, left_input=1365, right_input=3113, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-260, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=nan","layer":1},{"info":"number node, value=4377","layer":4},{"info":"compute unary expreesion, input=4377, op_id = bjFbhXSADs, unary_op_definition = 'a⪊≅ = { (377⪠⩆⊳) , if (a⊭↱876)>=867 ; (a⨳⩥⨓a) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=-1273","layer":2},{"info":"number node, value=2297","layer":4},{"info":"compute unary expreesion, input=2297, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":3},{"info":"number node, value=2050","layer":4},{"info":"number node, value=1994","layer":4},{"info":"compute binary expreesion, left_input=2050, right_input=1994, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4044","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4044, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-1273, right_input=0, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉16546⪢≴∭⊉24055)⩦(⩷⨜⫀≴∭⊉15554)⩌⋺(≴∭⊉25310⨂≜≴∭⊉5406⇣⩺⋵(≴∭⊉3660⪭≯≴∭⊉12035))⪘⫢((⩒∊(≴∭⊉15522⪊≅))⩧⪆(⪫⨮⊛≴∭⊉6461)⨽∌(≴∭⊉5656+≴∭⊉5546))=NaN","reverse_text":"NaN=(≴∭⊉16546⪢≴∭⊉24055)⩦(⩷⨜⫀≴∭⊉15554)⩌⋺(≴∭⊉25310⨂≜≴∭⊉5406⇣⩺⋵(≴∭⊉3660⪭≯≴∭⊉12035))⪘⫢((⩒∊(≴∭⊉15522⪊≅))⩧⪆(⪫⨮⊛≴∭⊉6461)⨽∌(≴∭⊉5656+≴∭⊉5546))","cot":[{"info":"≴∭⊉16546⪢≴∭⊉24055=NaN","layer":3},{"info":"⩷⨜⫀≴∭⊉15554=≴∭⊉-15014","layer":3},{"info":"NaN⩦≴∭⊉-15014=NaN","layer":2},{"info":"≴∭⊉25310⨂≜≴∭⊉5406=NaN","layer":3},{"info":"≴∭⊉3660⪭≯≴∭⊉12035=NaN","layer":3},{"info":"NaN⇣⩺⋵NaN=≴∭⊉-521","layer":2},{"info":"NaN⩌⋺≴∭⊉-521=NaN","layer":1},{"info":"≴∭⊉15522⪊≅=≴∭⊉0","layer":3},{"info":"⩒∊≴∭⊉0=≴∭⊉-3466","layer":2},{"info":"⪫⨮⊛≴∭⊉6461=NaN","layer":3},{"info":"≴∭⊉5656+≴∭⊉5546=≴∭⊉14535","layer":3},{"info":"NaN⨽∌≴∭⊉14535=≴∭⊉0","layer":2},{"info":"≴∭⊉-3466⩧⪆≴∭⊉0=≴∭⊉0","layer":1},{"info":"NaN⪘⫢≴∭⊉0=NaN","layer":0}]}
+{"id":892,"expression_no_base_symbol":"(⪫⨮⊛(⪛⨧$1547$))⫥∨⫟($1439$≧⫂∧$1854$⫥∨⫟$2035$∌$3666$)⪒($1928$⋭≵$3122$)∣$6810$⋛$5471$⩘(⊤⊝$2466$⩼⇪↪$1268$)","expression":"(⪫⨮⊛(⪛⨧≴∭⊉4340))⫥∨⫟(≴∭⊉4124≧⫂∧≴∭⊉5256⫥∨⫟≴∭⊉5635∌≴∭⊉13455)⪒(≴∭⊉5423⋭≵≴∭⊉12050)∣≴∭⊉25566⋛≴∭⊉21644⩘(⊤⊝≴∭⊉10122⩼⇪↪≴∭⊉3461)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2719156,"operation_count":13,"complexity_ratio":209165.84615384616,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"numeric_atoms","value":1547,"base":7}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1439,"base":7},"right_expr":{"type":"numeric_atoms","value":1854,"base":7}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":2035,"base":7},"right_expr":{"type":"numeric_atoms","value":3666,"base":7}}}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":1928,"base":7},"right_expr":{"type":"numeric_atoms","value":3122,"base":7}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":6810,"base":7},"right_expr":{"type":"numeric_atoms","value":5471,"base":7}}},"right_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":2466,"base":7},"right_expr":{"type":"numeric_atoms","value":1268,"base":7}}}}},"used_operators":["f6k1SAg4EE","KYD54nUTWz","w5FWba1tyO","6NJAcO2OWT","Ph9nP6C5qx","8cLx32lpNA","cHh1gJQ2o6","PPChnnnBFF","jBncVCNhdl","YbUVn0Rbpy","rXAclfmB4M","ocnLzx9CaJ"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","sdazOOVcIp","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1547","layer":4},{"info":"compute unary expreesion, input=1547, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=4495","layer":3},{"info":"compute unary expreesion, input=4495, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":2},{"info":"number node, value=1439","layer":4},{"info":"number node, value=1854","layer":4},{"info":"compute binary expreesion, left_input=1439, right_input=1854, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1381","layer":3},{"info":"number node, value=2035","layer":4},{"info":"number node, value=3666","layer":4},{"info":"compute binary expreesion, left_input=2035, right_input=3666, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-3666","layer":3},{"info":"compute binary expreesion, left_input=1381, right_input=-3666, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=1928","layer":4},{"info":"number node, value=3122","layer":4},{"info":"compute binary expreesion, left_input=1928, right_input=3122, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"number node, value=6810","layer":4},{"info":"number node, value=5471","layer":4},{"info":"compute binary expreesion, left_input=6810, right_input=5471, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-70902","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=-70902, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=890","layer":2},{"info":"number node, value=2466","layer":4},{"info":"number node, value=1268","layer":4},{"info":"compute binary expreesion, left_input=2466, right_input=1268, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-4727","layer":3},{"info":"compute unary expreesion, input=-4727, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=-10752","layer":2},{"info":"compute binary expreesion, left_input=890, right_input=-10752, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(⪫⨮⊛(⪛⨧≴∭⊉4340))⫥∨⫟(≴∭⊉4124≧⫂∧≴∭⊉5256⫥∨⫟≴∭⊉5635∌≴∭⊉13455)⪒(≴∭⊉5423⋭≵≴∭⊉12050)∣≴∭⊉25566⋛≴∭⊉21644⩘(⊤⊝≴∭⊉10122⩼⇪↪≴∭⊉3461)=NaN","reverse_text":"NaN=(⪫⨮⊛(⪛⨧≴∭⊉4340))⫥∨⫟(≴∭⊉4124≧⫂∧≴∭⊉5256⫥∨⫟≴∭⊉5635∌≴∭⊉13455)⪒(≴∭⊉5423⋭≵≴∭⊉12050)∣≴∭⊉25566⋛≴∭⊉21644⩘(⊤⊝≴∭⊉10122⩼⇪↪≴∭⊉3461)","cot":[{"info":"⪛⨧≴∭⊉4340=≴∭⊉16051","layer":3},{"info":"⪫⨮⊛≴∭⊉16051=NaN","layer":2},{"info":"≴∭⊉4124≧⫂∧≴∭⊉5256=≴∭⊉4012","layer":3},{"info":"≴∭⊉5635∌≴∭⊉13455=≴∭⊉-13455","layer":3},{"info":"≴∭⊉4012⫥∨⫟≴∭⊉-13455=NaN","layer":2},{"info":"NaN⫥∨⫟NaN=NaN","layer":1},{"info":"≴∭⊉5423⋭≵≴∭⊉12050=≴∭⊉124","layer":3},{"info":"≴∭⊉25566⋛≴∭⊉21644=≴∭⊉-413466","layer":3},{"info":"≴∭⊉124∣≴∭⊉-413466=≴∭⊉2411","layer":2},{"info":"≴∭⊉10122⩼⇪↪≴∭⊉3461=≴∭⊉-16532","layer":3},{"info":"⊤⊝≴∭⊉-16532=≴∭⊉-43230","layer":2},{"info":"≴∭⊉2411⩘≴∭⊉-43230=≴∭⊉316","layer":1},{"info":"NaN⪒≴∭⊉316=NaN","layer":0}]}
+{"id":893,"expression_no_base_symbol":"↩(⫎≠⋺(($1878$⪭≯$4117$)⨚($3394$∀⋜↑)))","expression":"↩(⫎≠⋺((≴∭⊉5322⪭≯≴∭⊉15001)⨚(≴∭⊉12616∀⋜↑)))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":239,"operation_count":5,"complexity_ratio":47.8,"tree":{"type":"unary","operator":"↩","unary_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":1878,"base":7},"right_expr":{"type":"numeric_atoms","value":4117,"base":7}},"right_expr":{"type":"unary","operator":"∀⋜↑","unary_expr":{"type":"numeric_atoms","value":3394,"base":7}}}}},"used_operators":["jLgFTUHLKL","LYeZOJ0nQG","nREPSIbpBE","XAx5wpdLa6","KipPnG1M2J"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","BjRHVeLaeN","12rbrZMWeM","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","eLAdDNolq6","23Mk6UjR3U","f6k1SAg4EE"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1878","layer":4},{"info":"number node, value=4117","layer":4},{"info":"compute binary expreesion, left_input=1878, right_input=4117, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"number node, value=3394","layer":4},{"info":"compute unary expreesion, input=3394, op_id = KipPnG1M2J, unary_op_definition = 'a∀⋜↑ = { ((≤/a)⪒(a⋷a)) }', output=-484","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-484, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"↩(⫎≠⋺((≴∭⊉5322⪭≯≴∭⊉15001)⨚(≴∭⊉12616∀⋜↑)))=NaN","reverse_text":"NaN=↩(⫎≠⋺((≴∭⊉5322⪭≯≴∭⊉15001)⨚(≴∭⊉12616∀⋜↑)))","cot":[{"info":"≴∭⊉5322⪭≯≴∭⊉15001=NaN","layer":3},{"info":"≴∭⊉12616∀⋜↑=≴∭⊉-1261","layer":3},{"info":"NaN⨚≴∭⊉-1261=NaN","layer":2},{"info":"⫎≠⋺NaN=NaN","layer":1},{"info":"↩NaN=NaN","layer":0}]}
+{"id":894,"expression_no_base_symbol":"≇⪴($2916$∳⫺$1091$⊿∆)⨂≜((∑⇻≧$1198$)⫸⊐$9122$⇄$2446$)","expression":"≇⪴(≴∭⊉11334∳⫺≴∭⊉3116⊿∆)⨂≜((∑⇻≧≴∭⊉3331)⫸⊐≴∭⊉35411⇄≴∭⊉10063)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":937533,"operation_count":7,"complexity_ratio":133933.2857142857,"tree":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"unary","operator":"⊿∆","unary_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":2916,"base":7},"right_expr":{"type":"numeric_atoms","value":1091,"base":7}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"numeric_atoms","value":1198,"base":7}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":9122,"base":7},"right_expr":{"type":"numeric_atoms","value":2446,"base":7}}}}},"used_operators":["zoVPnxeHJ3","k1SHOSEABc","fv3ZujxkQL","AzXXKTstlj","mqXw5SEYmG","l1M9WJ3V7u","3EYGwJThht"],"dependent_operators":["7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","NTOWxs364D","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2916","layer":4},{"info":"number node, value=1091","layer":4},{"info":"compute binary expreesion, left_input=2916, right_input=1091, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":3},{"info":"compute unary expreesion, input=-260, op_id = fv3ZujxkQL, unary_op_definition = 'a⊿∆ = { (a⩚⊴⇥a) }', output=399","layer":2},{"info":"number node, value=1198","layer":4},{"info":"compute unary expreesion, input=1198, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":3},{"info":"number node, value=9122","layer":4},{"info":"number node, value=2446","layer":4},{"info":"compute binary expreesion, left_input=9122, right_input=2446, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-852, right_input=0, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=968","layer":2},{"info":"compute binary expreesion, left_input=399, right_input=968, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"≇⪴(≴∭⊉11334∳⫺≴∭⊉3116⊿∆)⨂≜((∑⇻≧≴∭⊉3331)⫸⊐≴∭⊉35411⇄≴∭⊉10063)=NaN","reverse_text":"NaN=≇⪴(≴∭⊉11334∳⫺≴∭⊉3116⊿∆)⨂≜((∑⇻≧≴∭⊉3331)⫸⊐≴∭⊉35411⇄≴∭⊉10063)","cot":[{"info":"≴∭⊉11334∳⫺≴∭⊉3116=≴∭⊉-521","layer":3},{"info":"≴∭⊉-521⊿∆=≴∭⊉1110","layer":2},{"info":"∑⇻≧≴∭⊉3331=≴∭⊉-2325","layer":3},{"info":"≴∭⊉35411⇄≴∭⊉10063=≴∭⊉0","layer":3},{"info":"≴∭⊉-2325⫸⊐≴∭⊉0=≴∭⊉2552","layer":2},{"info":"≴∭⊉1110⨂≜≴∭⊉2552=NaN","layer":1},{"info":"≇⪴NaN=NaN","layer":0}]}
+{"id":895,"expression_no_base_symbol":"(⋼∭⪍($3936$⊮⊟↴$2727$⪁$3745$⪭$2046$))⨔⇊(≸≮(⨵$2385$))⪝(⪫⨮⊛($3794$⨎$2356$))","expression":"(⋼∭⪍(≴∭⊉14322⊮⊟↴≴∭⊉10644⪁≴∭⊉13630⪭≴∭⊉5652))⨔⇊(≸≮(⨵≴∭⊉6645))⪝(⪫⨮⊛(≴∭⊉14030⨎≴∭⊉6604))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1418473,"operation_count":10,"complexity_ratio":141847.3,"tree":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":3936,"base":7},"right_expr":{"type":"numeric_atoms","value":2727,"base":7}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":3745,"base":7},"right_expr":{"type":"numeric_atoms","value":2046,"base":7}}}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"numeric_atoms","value":2385,"base":7}}},"right_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":3794,"base":7},"right_expr":{"type":"numeric_atoms","value":2356,"base":7}}}}},"used_operators":["JclMnS0uGI","DbCuESL50I","I7sXao9hZE","QDVgd2eftb","j9kHMeSvPp","wicAB68Tmb","AljMvE3RRm","Tl3Y52tvF8","w5FWba1tyO","rJVOvQCfKK"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","COABgblf1C","xUOZtlo3hN","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3936","layer":4},{"info":"number node, value=2727","layer":4},{"info":"compute binary expreesion, left_input=3936, right_input=2727, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"number node, value=3745","layer":4},{"info":"number node, value=2046","layer":4},{"info":"compute binary expreesion, left_input=3745, right_input=2046, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=5, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=946","layer":1},{"info":"number node, value=2385","layer":4},{"info":"compute unary expreesion, input=2385, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=-20289","layer":3},{"info":"compute unary expreesion, input=-20289, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=305118","layer":2},{"info":"number node, value=3794","layer":4},{"info":"number node, value=2356","layer":4},{"info":"compute binary expreesion, left_input=3794, right_input=2356, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2356","layer":3},{"info":"compute unary expreesion, input=2356, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=305118, right_input=nan, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=946, right_input=nan, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(⋼∭⪍(≴∭⊉14322⊮⊟↴≴∭⊉10644⪁≴∭⊉13630⪭≴∭⊉5652))⨔⇊(≸≮(⨵≴∭⊉6645))⪝(⪫⨮⊛(≴∭⊉14030⨎≴∭⊉6604))=NaN","reverse_text":"NaN=(⋼∭⪍(≴∭⊉14322⊮⊟↴≴∭⊉10644⪁≴∭⊉13630⪭≴∭⊉5652))⨔⇊(≸≮(⨵≴∭⊉6645))⪝(⪫⨮⊛(≴∭⊉14030⨎≴∭⊉6604))","cot":[{"info":"≴∭⊉14322⊮⊟↴≴∭⊉10644=≴∭⊉0","layer":3},{"info":"≴∭⊉13630⪭≴∭⊉5652=≴∭⊉5","layer":3},{"info":"≴∭⊉0⪁≴∭⊉5=≴∭⊉0","layer":2},{"info":"⋼∭⪍≴∭⊉0=≴∭⊉2521","layer":1},{"info":"⨵≴∭⊉6645=≴∭⊉-113103","layer":3},{"info":"≸≮≴∭⊉-113103=≴∭⊉2410362","layer":2},{"info":"≴∭⊉14030⨎≴∭⊉6604=≴∭⊉6604","layer":3},{"info":"⪫⨮⊛≴∭⊉6604=NaN","layer":2},{"info":"≴∭⊉2410362⪝NaN=NaN","layer":1},{"info":"≴∭⊉2521⨔⇊NaN=NaN","layer":0}]}
+{"id":896,"expression_no_base_symbol":"(((⋎⨆$1011$)⩷∴(≋$5759$))↳∿⪆(($2919$%$2251$)⪕$1139$⨐$2608$))⨿((($2332$∙∹∝$1889$)⇮⋭$2628$∋$1000$)⊴($2912$⪷)⩁⩘$1391$↞⋁$4758$)","expression":"(((⋎⨆≴∭⊉2643)⩷∴(≋≴∭⊉22535))↳∿⪆((≴∭⊉11340%≴∭⊉6364)⪕≴∭⊉3215⨐≴∭⊉10414))⨿(((≴∭⊉6541∙∹∝≴∭⊉5336)⇮⋭≴∭⊉10443∋≴∭⊉2626)⊴(≴∭⊉11330⪷)⩁⩘≴∭⊉4025↞⋁≴∭⊉16605)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":5961,"operation_count":15,"complexity_ratio":397.4,"tree":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"numeric_atoms","value":1011,"base":7}},"right_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"numeric_atoms","value":5759,"base":7}}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2919,"base":7},"right_expr":{"type":"numeric_atoms","value":2251,"base":7}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":1139,"base":7},"right_expr":{"type":"numeric_atoms","value":2608,"base":7}}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":2332,"base":7},"right_expr":{"type":"numeric_atoms","value":1889,"base":7}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":2628,"base":7},"right_expr":{"type":"numeric_atoms","value":1000,"base":7}}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"unary","operator":"⪷","unary_expr":{"type":"numeric_atoms","value":2912,"base":7}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":1391,"base":7},"right_expr":{"type":"numeric_atoms","value":4758,"base":7}}}}},"used_operators":["abYXlopdE0","Cw4SuJJGHO","9FxExcQeMw","E64sFOc4tB","61wBmkZwlr","umQnsF7QlU","k8jYdgA6NY","Noe24qw2ks","Nsiff2A1zJ","vkpjKywKVM","HmxsFra2vL","ukq6epAj5P","gub5Cegaqo","Qctrpi3WzA","RqrPlJkxDo"],"dependent_operators":["gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","rysDP5nf3Z","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","7j4O788W3g","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","rysDP5nf3Z","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","dWAJyo7jo9","14qkJME0vr","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","DpFCA1CohY","IWmyXbctLI","Nsiff2A1zJ","Uaa54Peajs","CArV6hThFE","13rbtpv6ld"],"result":"≴∭⊉124","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1011","layer":4},{"info":"compute unary expreesion, input=1011, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=0","layer":3},{"info":"number node, value=5759","layer":4},{"info":"compute unary expreesion, input=5759, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=5759","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=5759, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-11550","layer":2},{"info":"number node, value=2919","layer":4},{"info":"number node, value=2251","layer":4},{"info":"compute binary expreesion, left_input=2919, right_input=2251, op_id = k8jYdgA6NY binary_op_definition= 'None', output=668","layer":3},{"info":"number node, value=1139","layer":4},{"info":"number node, value=2608","layer":4},{"info":"compute binary expreesion, left_input=1139, right_input=2608, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-2278","layer":3},{"info":"compute binary expreesion, left_input=668, right_input=-2278, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=935","layer":2},{"info":"compute binary expreesion, left_input=-11550, right_input=935, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":1},{"info":"number node, value=2332","layer":4},{"info":"number node, value=1889","layer":4},{"info":"compute binary expreesion, left_input=2332, right_input=1889, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=2628","layer":4},{"info":"number node, value=1000","layer":4},{"info":"compute binary expreesion, left_input=2628, right_input=1000, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=2154984","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2154984, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":2},{"info":"number node, value=2912","layer":4},{"info":"compute unary expreesion, input=2912, op_id = Qctrpi3WzA, unary_op_definition = 'a⪷ = { (a⊴a) }', output=nan","layer":3},{"info":"number node, value=1391","layer":4},{"info":"number node, value=4758","layer":4},{"info":"compute binary expreesion, left_input=1391, right_input=4758, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-473, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=67","layer":0}],"base":7,"result_base":7,"text":"(((⋎⨆≴∭⊉2643)⩷∴(≋≴∭⊉22535))↳∿⪆((≴∭⊉11340%≴∭⊉6364)⪕≴∭⊉3215⨐≴∭⊉10414))⨿(((≴∭⊉6541∙∹∝≴∭⊉5336)⇮⋭≴∭⊉10443∋≴∭⊉2626)⊴(≴∭⊉11330⪷)⩁⩘≴∭⊉4025↞⋁≴∭⊉16605)=≴∭⊉124","reverse_text":"≴∭⊉124=(((⋎⨆≴∭⊉2643)⩷∴(≋≴∭⊉22535))↳∿⪆((≴∭⊉11340%≴∭⊉6364)⪕≴∭⊉3215⨐≴∭⊉10414))⨿(((≴∭⊉6541∙∹∝≴∭⊉5336)⇮⋭≴∭⊉10443∋≴∭⊉2626)⊴(≴∭⊉11330⪷)⩁⩘≴∭⊉4025↞⋁≴∭⊉16605)","cot":[{"info":"⋎⨆≴∭⊉2643=≴∭⊉0","layer":3},{"info":"≋≴∭⊉22535=≴∭⊉22535","layer":3},{"info":"≴∭⊉0⩷∴≴∭⊉22535=≴∭⊉-45450","layer":2},{"info":"≴∭⊉11340%≴∭⊉6364=≴∭⊉1643","layer":3},{"info":"≴∭⊉3215⨐≴∭⊉10414=≴∭⊉-6433","layer":3},{"info":"≴∭⊉1643⪕≴∭⊉-6433=≴∭⊉2504","layer":2},{"info":"≴∭⊉-45450↳∿⪆≴∭⊉2504=NaN","layer":1},{"info":"≴∭⊉6541∙∹∝≴∭⊉5336=≴∭⊉0","layer":3},{"info":"≴∭⊉10443∋≴∭⊉2626=≴∭⊉24213516","layer":3},{"info":"≴∭⊉0⇮⋭≴∭⊉24213516=≴∭⊉-1244","layer":2},{"info":"≴∭⊉11330⪷=NaN","layer":3},{"info":"≴∭⊉4025↞⋁≴∭⊉16605=NaN","layer":3},{"info":"NaN⩁⩘NaN=NaN","layer":2},{"info":"≴∭⊉-1244⊴NaN=NaN","layer":1},{"info":"NaN⨿NaN=≴∭⊉124","layer":0}]}
+{"id":897,"expression_no_base_symbol":"(($2182$⊾⪯⋞$3480$%$1705$⪔⊥$1936$)⨓(⊬↢$5876$⨿$1285$))≠≀(⇠$4673$⇡⇂$1080$⨥⫆($3083$≬⇓$1659$))","expression":"((≴∭⊉6235⊾⪯⋞≴∭⊉13101%≴∭⊉4654⪔⊥≴∭⊉5434)⨓(⊬↢≴∭⊉23063⨿≴∭⊉3514))≠≀(⇠≴∭⊉16424⇡⇂≴∭⊉3102⨥⫆(≴∭⊉11663≬⇓≴∭⊉4560))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":8959,"operation_count":11,"complexity_ratio":814.4545454545455,"tree":{"type":"binary","operator":"≠≀","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":2182,"base":7},"right_expr":{"type":"numeric_atoms","value":3480,"base":7}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":1705,"base":7},"right_expr":{"type":"numeric_atoms","value":1936,"base":7}}},"right_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":5876,"base":7},"right_expr":{"type":"numeric_atoms","value":1285,"base":7}}}},"right_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":4673,"base":7},"right_expr":{"type":"numeric_atoms","value":1080,"base":7}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":3083,"base":7},"right_expr":{"type":"numeric_atoms","value":1659,"base":7}}}}},"used_operators":["IwW236VD4Y","3ViojmjbAp","k8jYdgA6NY","HK0tfVPux8","HJ9erzHUuu","WPoGxAaPR1","abYXlopdE0","18saOjeKKm","yXekIHxTD4","UMwdvZNt44","jWTQ2TZYIH"],"dependent_operators":["eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB"],"result":"≴∭⊉-6501","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2182","layer":4},{"info":"number node, value=3480","layer":4},{"info":"compute binary expreesion, left_input=2182, right_input=3480, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=6534","layer":3},{"info":"number node, value=1705","layer":4},{"info":"number node, value=1936","layer":4},{"info":"compute binary expreesion, left_input=1705, right_input=1936, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=2749","layer":3},{"info":"compute binary expreesion, left_input=6534, right_input=2749, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1036","layer":2},{"info":"number node, value=5876","layer":4},{"info":"number node, value=1285","layer":4},{"info":"compute binary expreesion, left_input=5876, right_input=1285, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"compute unary expreesion, input=-319, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=-1308","layer":2},{"info":"compute binary expreesion, left_input=1036, right_input=-1308, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=1305","layer":1},{"info":"number node, value=4673","layer":4},{"info":"number node, value=1080","layer":4},{"info":"compute binary expreesion, left_input=4673, right_input=1080, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"number node, value=3083","layer":4},{"info":"number node, value=1659","layer":4},{"info":"compute binary expreesion, left_input=3083, right_input=1659, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-22, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1305, right_input=nan, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-2304","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉6235⊾⪯⋞≴∭⊉13101%≴∭⊉4654⪔⊥≴∭⊉5434)⨓(⊬↢≴∭⊉23063⨿≴∭⊉3514))≠≀(⇠≴∭⊉16424⇡⇂≴∭⊉3102⨥⫆(≴∭⊉11663≬⇓≴∭⊉4560))=≴∭⊉-6501","reverse_text":"≴∭⊉-6501=((≴∭⊉6235⊾⪯⋞≴∭⊉13101%≴∭⊉4654⪔⊥≴∭⊉5434)⨓(⊬↢≴∭⊉23063⨿≴∭⊉3514))≠≀(⇠≴∭⊉16424⇡⇂≴∭⊉3102⨥⫆(≴∭⊉11663≬⇓≴∭⊉4560))","cot":[{"info":"≴∭⊉6235⊾⪯⋞≴∭⊉13101=≴∭⊉25023","layer":3},{"info":"≴∭⊉4654⪔⊥≴∭⊉5434=≴∭⊉11005","layer":3},{"info":"≴∭⊉25023%≴∭⊉11005=≴∭⊉3010","layer":2},{"info":"≴��⊉23063⨿≴∭⊉3514=≴∭⊉-634","layer":3},{"info":"⊬↢≴∭⊉-634=≴∭⊉-3546","layer":2},{"info":"≴∭⊉3010⨓≴∭⊉-3546=≴∭⊉3543","layer":1},{"info":"≴∭⊉16424⇡⇂≴∭⊉3102=NaN","layer":3},{"info":"≴∭⊉11663≬⇓≴∭⊉4560=≴∭⊉-31","layer":3},{"info":"NaN⨥⫆≴∭⊉-31=NaN","layer":2},{"info":"⇠NaN=NaN","layer":1},{"info":"≴∭⊉3543≠≀NaN=≴∭⊉-6501","layer":0}]}
+{"id":898,"expression_no_base_symbol":"(($1177$⪄$7147$)⇻⋧≁($4786$≁$3004$)⨲∙)⪍↜⋙((⨂⪏⇭($9304$⋷$2795$))⩧⪆(($4156$⫡⨏$4206$)⫰⋱($1428$⊹≧⊝)))","expression":"((≴∭⊉3301⪄≴∭⊉26560)⇻⋧≁(≴∭⊉16645≁≴∭⊉11521)⨲∙)⪍↜⋙((⨂⪏⇭(≴∭⊉36061⋷≴∭⊉11102))⩧⪆((≴∭⊉15055⫡⨏≴∭⊉15156)⫰⋱(≴∭⊉4110⊹≧⊝)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":457,"operation_count":11,"complexity_ratio":41.54545454545455,"tree":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"unary","operator":"⨲∙","unary_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1177,"base":7},"right_expr":{"type":"numeric_atoms","value":7147,"base":7}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":4786,"base":7},"right_expr":{"type":"numeric_atoms","value":3004,"base":7}}}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":9304,"base":7},"right_expr":{"type":"numeric_atoms","value":2795,"base":7}}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":4156,"base":7},"right_expr":{"type":"numeric_atoms","value":4206,"base":7}},"right_expr":{"type":"unary","operator":"⊹≧⊝","unary_expr":{"type":"numeric_atoms","value":1428,"base":7}}}}},"used_operators":["L05ObWFQCd","cRahaglYVE","jCPkEVoL5K","SUmda5xLS4","8N2wDY1A35","Ikt5ks8PT7","AYdpE9sXAk","23Mk6UjR3U","6o9Blt3TJ6","QMFrweE19q","LxFB4K6j0n"],"dependent_operators":["rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","XGcMNugi78","zR4jO40bMj","mp7IySMOzn","bJkvcejdHO","grXIztHqDa","dWAJyo7jo9","DmTXOeWf9t","g55IO6H4Gj","D4vGDi5EA2","A8NUZmVepG","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","eewbuw0ToL","t8gj7n24qd","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","P8v4zCKN1o","XPYlsWDdGa","DZ8iAZOCBD","t8gj7n24qd","g55IO6H4Gj","eewbuw0ToL","i8ToyICDmI","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1177","layer":4},{"info":"number node, value=7147","layer":4},{"info":"compute binary expreesion, left_input=1177, right_input=7147, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-198873","layer":3},{"info":"number node, value=4786","layer":4},{"info":"number node, value=3004","layer":4},{"info":"compute binary expreesion, left_input=4786, right_input=3004, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=58895","layer":3},{"info":"compute binary expreesion, left_input=-198873, right_input=58895, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-1793234","layer":2},{"info":"compute unary expreesion, input=-1793234, op_id = cRahaglYVE, unary_op_definition = 'a⨲∙ = { ((a⪢(a⇷a))⪶≀⋏(↥(30⫞⩸⩒376))) , if (a≦≮≮)>473 ; (121⨸⪁((a⊲⩕⊾a)≎⊠⪸(28⪃↞⩐))) , else }', output=nan","layer":1},{"info":"number node, value=9304","layer":4},{"info":"number node, value=2795","layer":4},{"info":"compute binary expreesion, left_input=9304, right_input=2795, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-3714","layer":3},{"info":"compute unary expreesion, input=-3714, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=-12121","layer":2},{"info":"number node, value=4156","layer":4},{"info":"number node, value=4206","layer":4},{"info":"compute binary expreesion, left_input=4156, right_input=4206, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=29975","layer":3},{"info":"number node, value=1428","layer":4},{"info":"compute unary expreesion, input=1428, op_id = LxFB4K6j0n, unary_op_definition = 'a⊹≧⊝ = { (((∥⊫a)⊭↱(a⩚⊴⇥a))⊉≛↸(⪲⇎(⪲⇎a))) , if a!=566 ; (-((a∲⫓a)⨸⪁(a⨰a))) , else }', output=-5712","layer":3},{"info":"compute binary expreesion, left_input=29975, right_input=-5712, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-24196","layer":2},{"info":"compute binary expreesion, left_input=-12121, right_input=-24196, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=24196","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=24196, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉3301⪄≴∭⊉26560)⇻⋧≁(≴∭⊉16645≁≴∭⊉11521)⨲∙)⪍↜⋙((⨂⪏⇭(≴∭⊉36061⋷≴∭⊉11102))⩧⪆((≴∭⊉15055⫡⨏≴∭⊉15156)⫰⋱(≴∭⊉4110⊹≧⊝)))=NaN","reverse_text":"NaN=((≴∭⊉3301⪄≴∭⊉26560)⇻⋧≁(≴∭⊉16645≁≴∭⊉11521)⨲∙)⪍↜⋙((⨂⪏⇭(≴∭⊉36061⋷≴∭⊉11102))⩧⪆((≴∭⊉15055⫡⨏≴∭⊉15156)⫰⋱(≴∭⊉4110⊹≧⊝)))","cot":[{"info":"≴∭⊉3301⪄≴∭⊉26560=≴∭⊉-1455543","layer":3},{"info":"≴∭⊉16645≁≴∭⊉11521=≴∭⊉333464","layer":3},{"info":"≴∭⊉-1455543⇻⋧≁≴∭⊉333464=≴∭⊉-21146042","layer":2},{"info":"≴∭⊉-21146042⨲∙=NaN","layer":1},{"info":"≴∭⊉36061⋷≴∭⊉11102=≴∭⊉-13554","layer":3},{"info":"⨂⪏⇭≴∭⊉-13554=≴∭⊉-50224","layer":2},{"info":"≴∭⊉15055⫡⨏≴∭⊉15156=≴∭⊉153251","layer":3},{"info":"≴∭⊉4110⊹≧⊝=≴∭⊉-22440","layer":3},{"info":"≴∭⊉153251⫰⋱≴∭⊉-22440=≴∭⊉-130354","layer":2},{"info":"≴∭⊉-50224⩧⪆≴∭⊉-130354=≴∭⊉130354","layer":1},{"info":"NaN⪍↜⋙≴∭⊉130354=NaN","layer":0}]}
+{"id":899,"expression_no_base_symbol":"($2942$⨜⨶$4833$↓(⋗⩴⪓$4097$)⪓⨏)≬⋮($1307$⊕∕$7040$⫚↹⊑(⪲⇎$3559$))⨿($1743$⫉⨲⊜$1505$≄⊠($1595$⫚↹⊑$2301$))","expression":"(≴∭⊉11402⨜⨶≴∭⊉20043↓(⋗⩴⪓≴∭⊉14642)⪓⨏)≬⋮(≴∭⊉3545⊕∕≴∭⊉26345⫚↹⊑(⪲⇎≴∭⊉13243))⨿(≴∭⊉5040⫉⨲⊜≴∭⊉4250≄⊠(≴∭⊉4436⫚↹⊑≴∭⊉6465))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":51221,"operation_count":12,"complexity_ratio":4268.416666666667,"tree":{"type":"binary","operator":"≬⋮","left_expr":{"type":"unary","operator":"⪓⨏","unary_expr":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":2942,"base":7},"right_expr":{"type":"numeric_atoms","value":4833,"base":7}},"right_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"numeric_atoms","value":4097,"base":7}}}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":1307,"base":7},"right_expr":{"type":"numeric_atoms","value":7040,"base":7}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":3559,"base":7}}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":1743,"base":7},"right_expr":{"type":"numeric_atoms","value":1505,"base":7}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":1595,"base":7},"right_expr":{"type":"numeric_atoms","value":2301,"base":7}}}}},"used_operators":["kbkesczE7y","4X9JU4Jbn6","Af076pWI7l","HiPekx5b7W","nOKPl9n5zu","abYXlopdE0","dfKe02y8D2","9cloC0Ngie","XPYlsWDdGa","vXNesLlMH1","WhqkvtTD3t"],"dependent_operators":["P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","gJLn6v0xnP","nOKPl9n5zu","W9R8I5fN5A","rxpJgHHUmx","inkyxCbjAn","z63VuFQld9","AcOhelriW5","3sJ7IOPOlU","CoMdbyAt7R","cHh1gJQ2o6","xlXykHWxX1","Nsiff2A1zJ","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","eewbuw0ToL","zVYPLywUTj"],"result":"≴∭⊉2350","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2942","layer":4},{"info":"number node, value=4833","layer":4},{"info":"compute binary expreesion, left_input=2942, right_input=4833, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-9410","layer":3},{"info":"number node, value=4097","layer":4},{"info":"compute unary expreesion, input=4097, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=-3184","layer":3},{"info":"compute binary expreesion, left_input=-9410, right_input=-3184, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":2},{"info":"compute unary expreesion, input=-134, op_id = 4X9JU4Jbn6, unary_op_definition = 'a⪓⨏ = { (((⨣⨃⇪a)≭(a⊊))⫢⨠((a⪇≇⋚a)⩘(413≥⨤⩑a))) , if (⇁⨣⪵a)<1 ; ((⋗⩴⪓(191∧))⫢⨠(⨛(a⊴a))) , else }', output=nan","layer":1},{"info":"number node, value=1307","layer":4},{"info":"number node, value=7040","layer":4},{"info":"compute binary expreesion, left_input=1307, right_input=7040, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=1307","layer":3},{"info":"number node, value=3559","layer":4},{"info":"compute unary expreesion, input=3559, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=7118","layer":3},{"info":"compute binary expreesion, left_input=1307, right_input=7118, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"number node, value=1743","layer":4},{"info":"number node, value=1505","layer":4},{"info":"compute binary expreesion, left_input=1743, right_input=1505, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"number node, value=1595","layer":4},{"info":"number node, value=2301","layer":4},{"info":"compute binary expreesion, left_input=1595, right_input=2301, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-447, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=1500, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=67","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉11402⨜⨶≴∭⊉20043↓(⋗⩴⪓≴∭⊉14642)⪓⨏)≬⋮(≴∭⊉3545⊕∕≴∭⊉26345⫚↹⊑(⪲⇎≴∭⊉13243))⨿(≴∭⊉5040⫉⨲⊜≴∭⊉4250≄⊠(≴∭⊉4436⫚↹⊑≴∭⊉6465))=≴∭⊉2350","reverse_text":"≴∭⊉2350=(≴∭⊉11402⨜⨶≴∭⊉20043↓(⋗⩴⪓≴∭⊉14642)⪓⨏)≬⋮(≴∭⊉3545⊕∕≴∭⊉26345⫚↹⊑(⪲⇎≴∭⊉13243))⨿(≴∭⊉5040⫉⨲⊜≴∭⊉4250≄⊠(≴∭⊉4436⫚↹⊑≴∭⊉6465))","cot":[{"info":"≴∭⊉11402⨜⨶≴∭⊉20043=≴∭⊉-36302","layer":3},{"info":"⋗⩴⪓≴∭⊉14642=≴∭⊉-12166","layer":3},{"info":"≴∭⊉-36302↓≴∭⊉-12166=≴∭⊉-251","layer":2},{"info":"≴∭⊉-251⪓⨏=NaN","layer":1},{"info":"≴∭⊉3545⊕∕≴∭⊉26345=≴∭⊉3545","layer":3},{"info":"⪲⇎≴∭⊉13243=≴∭⊉26516","layer":3},{"info":"≴∭⊉3545⫚↹⊑≴∭⊉26516=≴∭⊉-1206","layer":2},{"info":"≴∭⊉5040⫉⨲⊜≴∭⊉4250=≴∭⊉0","layer":3},{"info":"≴∭⊉4436⫚↹⊑≴∭⊉6465=≴∭⊉-1206","layer":3},{"info":"≴∭⊉0≄⊠≴∭⊉-1206=≴∭⊉4242","layer":2},{"info":"≴∭⊉-1206⨿≴∭⊉4242=≴∭⊉124","layer":1},{"info":"NaN≬⋮≴∭⊉124=≴∭⊉2350","layer":0}]}
+{"id":900,"expression_no_base_symbol":"($4751$⫉⨲⊜$3095$⊭↱$3820$+⪬∐$1988$)∥⊢⊲(($2706$⫸⊐$5770$)⨻⩈⩔($3905$∵≐))⋓(($1471$⋻⩜⩜$3365$)⊢($1082$⇩)+$5988$⊱⇼⊻$3705$⪍↜⋙($1778$⨘⋶⪀))","expression":"(≴∭⊉16565⫉⨲⊜≴∭⊉12011⊭↱≴∭⊉14065+⪬∐≴∭⊉5540)∥⊢⊲((≴∭⊉10614⫸⊐≴∭⊉22552)⨻⩈⩔(≴∭⊉14246∵≐))⋓((≴∭⊉4201⋻⩜⩜≴∭⊉12545)⊢(≴∭⊉3104⇩)+≴∭⊉23313⊱⇼⊻≴∭⊉13542⪍↜⋙(≴∭⊉5120⨘⋶⪀))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":47445,"operation_count":15,"complexity_ratio":3163.0,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":4751,"base":7},"right_expr":{"type":"numeric_atoms","value":3095,"base":7}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":3820,"base":7},"right_expr":{"type":"numeric_atoms","value":1988,"base":7}}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2706,"base":7},"right_expr":{"type":"numeric_atoms","value":5770,"base":7}},"right_expr":{"type":"unary","operator":"∵≐","unary_expr":{"type":"numeric_atoms","value":3905,"base":7}}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":1471,"base":7},"right_expr":{"type":"numeric_atoms","value":3365,"base":7}},"right_expr":{"type":"unary","operator":"⇩","unary_expr":{"type":"numeric_atoms","value":1082,"base":7}}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":5988,"base":7},"right_expr":{"type":"numeric_atoms","value":3705,"base":7}},"right_expr":{"type":"unary","operator":"⨘⋶⪀","unary_expr":{"type":"numeric_atoms","value":1778,"base":7}}}}},"used_operators":["T2fj7uvVaJ","v1UQAVDJRr","COABgblf1C","WhqkvtTD3t","2GS7woTJqF","nEsXyWgiOK","mqXw5SEYmG","59igzFyhWz","W4YGzv6Whe","5twsqlHp2o","oDCm7WA9JY","vRio1gEz1j","L05ObWFQCd","FyVja0WsTP","XVKwrhznBb"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","EBcxylXtPf","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","eewbuw0ToL","zVYPLywUTj","g55IO6H4Gj","D4vGDi5EA2","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","DZ8iAZOCBD","8w2t5hMYqp","Ph9nP6C5qx","12rbrZMWeM","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","W4YGzv6Whe","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","TpPTUOHfaN","FyVja0WsTP","UqFzSgLMvQ"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4751","layer":4},{"info":"number node, value=3095","layer":4},{"info":"compute binary expreesion, left_input=4751, right_input=3095, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"number node, value=3820","layer":4},{"info":"number node, value=1988","layer":4},{"info":"compute binary expreesion, left_input=3820, right_input=1988, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-11460","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-11460, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-22915","layer":2},{"info":"number node, value=2706","layer":4},{"info":"number node, value=5770","layer":4},{"info":"compute binary expreesion, left_input=2706, right_input=5770, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=22955","layer":3},{"info":"number node, value=3905","layer":4},{"info":"compute unary expreesion, input=3905, op_id = 59igzFyhWz, unary_op_definition = 'a∵≐ = { ((a⊉≛↸31)⋳⪒(101+a)) , if a<=828 ; ((⊄⩳↩a)≧⫂∧(a≧⫂∧a)) , else }', output=2959","layer":3},{"info":"compute binary expreesion, left_input=22955, right_input=2959, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=175239","layer":2},{"info":"compute binary expreesion, left_input=-22915, right_input=175239, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=175239","layer":1},{"info":"number node, value=1471","layer":4},{"info":"number node, value=3365","layer":4},{"info":"compute binary expreesion, left_input=1471, right_input=3365, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=2942","layer":3},{"info":"number node, value=1082","layer":4},{"info":"compute unary expreesion, input=1082, op_id = vRio1gEz1j, unary_op_definition = 'a⇩ = { (a+93) }', output=1175","layer":3},{"info":"compute binary expreesion, left_input=2942, right_input=1175, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-6128","layer":2},{"info":"number node, value=5988","layer":4},{"info":"number node, value=3705","layer":4},{"info":"compute binary expreesion, left_input=5988, right_input=3705, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"number node, value=1778","layer":4},{"info":"compute unary expreesion, input=1778, op_id = XVKwrhznBb, unary_op_definition = 'a⨘⋶⪀ = { ((326+⇶⊼a)⊱⇼⊻(a⇡)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=434, right_input=nan, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-6128, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=175239, right_input=nan, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉16565⫉⨲⊜≴∭⊉12011⊭↱≴∭⊉14065+⪬∐≴∭⊉5540)∥⊢⊲((≴∭⊉10614⫸⊐≴∭⊉22552)⨻⩈⩔(≴∭⊉14246∵≐))⋓((≴∭⊉4201⋻⩜⩜≴∭⊉12545)⊢(≴∭⊉3104⇩)+≴∭⊉23313⊱⇼⊻≴∭⊉13542⪍↜⋙(≴∭⊉5120⨘⋶⪀))=NaN","reverse_text":"NaN=(≴∭⊉16565⫉⨲⊜≴∭⊉12011⊭↱≴∭⊉14065+⪬∐≴∭⊉5540)∥⊢⊲((≴∭⊉10614⫸⊐≴∭⊉22552)⨻⩈⩔(≴∭⊉14246∵≐))⋓((≴∭⊉4201⋻⩜⩜≴∭⊉12545)⊢(≴∭⊉3104⇩)+≴∭⊉23313⊱⇼⊻≴∭⊉13542⪍↜⋙(≴∭⊉5120⨘⋶⪀))","cot":[{"info":"≴∭⊉16565⫉⨲⊜≴∭⊉12011=≴∭⊉0","layer":3},{"info":"≴∭⊉14065+⪬∐≴∭⊉5540=≴∭⊉-45261","layer":3},{"info":"≴∭⊉0⊭↱≴∭⊉-45261=≴∭⊉-123544","layer":2},{"info":"≴∭⊉10614⫸⊐≴∭⊉22552=≴∭⊉123632","layer":3},{"info":"≴∭⊉14246∵≐=≴∭⊉11425","layer":3},{"info":"≴∭⊉123632⨻⩈⩔≴∭⊉11425=≴∭⊉1326621","layer":2},{"info":"≴∭⊉-123544∥⊢⊲≴∭⊉1326621=≴∭⊉1326621","layer":1},{"info":"≴∭⊉4201⋻⩜⩜≴∭⊉12545=≴∭⊉11402","layer":3},{"info":"≴∭⊉3104⇩=≴∭⊉3266","layer":3},{"info":"≴∭⊉11402⊢≴∭⊉3266=≴∭⊉-23603","layer":2},{"info":"≴∭⊉23313⊱⇼⊻≴∭⊉13542=≴∭⊉1160","layer":3},{"info":"≴∭⊉5120⨘⋶⪀=NaN","layer":3},{"info":"≴∭⊉1160⪍↜⋙NaN=NaN","layer":2},{"info":"≴∭⊉-23603+NaN=NaN","layer":1},{"info":"≴∭⊉1326621⋓NaN=NaN","layer":0}]}
+{"id":901,"expression_no_base_symbol":"⇋↷(⫖→$1609$≠≀$2369$)⨑⩅≇(≘(⩰$4302$))","expression":"⇋↷(⫖→≴∭⊉4456≠≀≴∭⊉6623)⨑⩅≇(≘(⩰≴∭⊉15354))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":3120700,"operation_count":6,"complexity_ratio":520116.6666666667,"tree":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":1609,"base":7},"right_expr":{"type":"numeric_atoms","value":2369,"base":7}}},"right_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"numeric_atoms","value":4302,"base":7}}}}},"used_operators":["SWo3A1KBJH","h92wMvzauj","U4ylXWHChL","IwW236VD4Y","tcjXMdvYtA","WkeUrDK8WX"],"dependent_operators":["XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI"],"result":"≴∭⊉-4220","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1609","layer":4},{"info":"number node, value=2369","layer":4},{"info":"compute binary expreesion, left_input=1609, right_input=2369, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-2912","layer":3},{"info":"compute unary expreesion, input=-2912, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":2},{"info":"number node, value=4302","layer":4},{"info":"compute unary expreesion, input=4302, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-5302","layer":3},{"info":"compute unary expreesion, input=-5302, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=3117314","layer":2},{"info":"compute binary expreesion, left_input=177, right_input=3117314, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-531","layer":1},{"info":"compute unary expreesion, input=-531, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=-1484","layer":0}],"base":7,"result_base":7,"text":"⇋↷(⫖→≴∭⊉4456≠≀≴∭⊉6623)⨑⩅≇(≘(⩰≴∭⊉15354))=≴∭⊉-4220","reverse_text":"≴∭⊉-4220=⇋↷(⫖→≴∭⊉4456≠≀≴∭⊉6623)⨑⩅≇(≘(⩰≴∭⊉15354))","cot":[{"info":"≴∭⊉4456≠≀≴∭⊉6623=≴∭⊉-11330","layer":3},{"info":"⫖→≴∭⊉-11330=≴∭⊉342","layer":2},{"info":"⩰≴∭⊉15354=≴∭⊉-21313","layer":3},{"info":"≘≴∭⊉-21313=≴∭⊉35332244","layer":2},{"info":"≴∭⊉342⨑⩅≇≴∭⊉35332244=≴∭⊉-1356","layer":1},{"info":"⇋↷≴∭⊉-1356=≴∭⊉-4220","layer":0}]}
+{"id":902,"expression_no_base_symbol":"(⨈⫕(⨵≀≌$1878$)⇴∐(∡$1582$))↬($1163$⨚⇆$1154$-($1446$⇟⨁⪰))⋣⋖((⫛⫱⨽$5896$)↙$5012$∼$1046$)","expression":"(⨈⫕(⨵≀≌≴∭⊉5322)⇴∐(∡≴∭⊉4420))↬(≴∭⊉3251⨚⇆≴∭⊉3236-(≴∭⊉4134⇟⨁⪰))⋣⋖((⫛⫱⨽≴∭⊉23122)↙≴∭⊉20420∼≴∭⊉3023)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":10142,"operation_count":12,"complexity_ratio":845.1666666666666,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1878,"base":7}},"right_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"numeric_atoms","value":1582,"base":7}}}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":1163,"base":7},"right_expr":{"type":"numeric_atoms","value":1154,"base":7}},"right_expr":{"type":"unary","operator":"⇟⨁⪰","unary_expr":{"type":"numeric_atoms","value":1446,"base":7}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":5896,"base":7}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":5012,"base":7},"right_expr":{"type":"numeric_atoms","value":1046,"base":7}}}}},"used_operators":["B5M0gjZbta","megm06wKyl","HnzytWxmAO","srAu1WTS94","pRsWfj4Fpp","J0M6qkBnIM","rysDP5nf3Z","lwHaAYXP2r","BX1lVwlMe0","yyfyN0ffXY","DlLNRPXxWL","DyGG3AbaNP"],"dependent_operators":["rGHVDoGpnC","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","2DDjHMKMc0","xUOZtlo3hN","tmPS8pqC7x","DpFCA1CohY","rGHVDoGpnC","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1878","layer":4},{"info":"compute unary expreesion, input=1878, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-5634","layer":3},{"info":"number node, value=1582","layer":4},{"info":"compute unary expreesion, input=1582, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=-1582","layer":3},{"info":"compute binary expreesion, left_input=-5634, right_input=-1582, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=-116","layer":2},{"info":"compute unary expreesion, input=-116, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":1},{"info":"number node, value=1163","layer":4},{"info":"number node, value=1154","layer":4},{"info":"compute binary expreesion, left_input=1163, right_input=1154, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"number node, value=1446","layer":4},{"info":"compute unary expreesion, input=1446, op_id = BX1lVwlMe0, unary_op_definition = 'a⇟⨁⪰ = { (⨞⊢(a⋝⋈⪟a)) }', output=-1620","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1620, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=5896","layer":4},{"info":"compute unary expreesion, input=5896, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=5012","layer":4},{"info":"number node, value=1046","layer":4},{"info":"compute binary expreesion, left_input=5012, right_input=1046, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":0}],"base":7,"result_base":7,"text":"(⨈⫕(⨵≀≌≴∭⊉5322)⇴∐(∡≴∭⊉4420))↬(≴∭⊉3251⨚⇆≴∭⊉3236-(≴∭⊉4134⇟⨁⪰))⋣⋖((⫛⫱⨽≴∭⊉23122)↙≴∭⊉20420∼≴∭⊉3023)=NaN","reverse_text":"NaN=(⨈⫕(⨵≀≌≴∭⊉5322)⇴∐(∡≴∭⊉4420))↬(≴∭⊉3251⨚⇆≴∭⊉3236-(≴∭⊉4134⇟⨁⪰))⋣⋖((⫛⫱⨽≴∭⊉23122)↙≴∭⊉20420∼≴∭⊉3023)","cot":[{"info":"⨵≀≌≴∭⊉5322=≴∭⊉-22266","layer":3},{"info":"∡≴∭⊉4420=≴∭⊉-4420","layer":3},{"info":"≴∭⊉-22266⇴∐≴∭⊉-4420=≴∭⊉-224","layer":2},{"info":"⨈⫕≴∭⊉-224=≴∭⊉-30","layer":1},{"info":"≴∭⊉3251⨚⇆≴∭⊉3236=NaN","layer":3},{"info":"≴∭⊉4134⇟⨁⪰=≴∭⊉-4503","layer":3},{"info":"NaN-≴∭⊉-4503=NaN","layer":2},{"info":"⫛⫱⨽≴∭⊉23122=≴∭⊉0","layer":3},{"info":"≴∭⊉20420∼≴∭⊉3023=NaN","layer":3},{"info":"≴∭⊉0↙NaN=≴∭⊉0","layer":2},{"info":"NaN⋣⋖≴∭⊉0=NaN","layer":1},{"info":"≴∭⊉-30↬NaN=NaN","layer":0}]}
+{"id":903,"expression_no_base_symbol":"(($1355$≝⊰⇂)⫌⩉⩟(≪$1151$))⨚⇆($6943$⪬$8191$⫚↹⊑(⨈⪑$5328$))⋝⋈⪟(↽≂$9211$⨟⋌⩍$5905$⋓$6963$⪃⊛⇣$3990$)","expression":"((≴∭⊉3644≝⊰⇂)⫌⩉⩟(≪≴∭⊉3233))⨚⇆(≴∭⊉26146⪬≴∭⊉32611⫚↹⊑(⨈⪑≴∭⊉21351))⋝⋈⪟(↽≂≴∭⊉35566⨟⋌⩍≴∭⊉23134⋓≴∭⊉26205⪃⊛⇣≴∭⊉14430)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":846395,"operation_count":12,"complexity_ratio":70532.91666666667,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"unary","operator":"≝⊰⇂","unary_expr":{"type":"numeric_atoms","value":1355,"base":7}},"right_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"numeric_atoms","value":1151,"base":7}}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":6943,"base":7},"right_expr":{"type":"numeric_atoms","value":8191,"base":7}},"right_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"numeric_atoms","value":5328,"base":7}}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":9211,"base":7},"right_expr":{"type":"numeric_atoms","value":5905,"base":7}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":6963,"base":7},"right_expr":{"type":"numeric_atoms","value":3990,"base":7}}}}},"used_operators":["2DDjHMKMc0","lwHaAYXP2r","XIIwhv8d0m","htSmYCowi5","Qtd6bqUJcN","dfKe02y8D2","Ez1Nq5fNfI","mp94q5OcYM","u6S6b8DprG","T2fj7uvVaJ","rGHVDoGpnC","rrgAzCduG9"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","9FxExcQeMw","DlLNRPXxWL","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","Tcnh7f0tEr","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1355","layer":4},{"info":"compute unary expreesion, input=1355, op_id = htSmYCowi5, unary_op_definition = 'a≝⊰⇂ = { (a⩷∴51) , if a<491 ; (⫛⫱⨽a) , else }', output=0","layer":3},{"info":"number node, value=1151","layer":4},{"info":"compute unary expreesion, input=1151, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=913, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":2},{"info":"number node, value=6943","layer":4},{"info":"number node, value=8191","layer":4},{"info":"compute binary expreesion, left_input=6943, right_input=8191, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"number node, value=5328","layer":4},{"info":"compute unary expreesion, input=5328, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=868, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=-50, right_input=-447, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":1},{"info":"number node, value=9211","layer":4},{"info":"number node, value=5905","layer":4},{"info":"compute binary expreesion, left_input=9211, right_input=5905, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=6963","layer":4},{"info":"number node, value=3990","layer":4},{"info":"compute binary expreesion, left_input=6963, right_input=3990, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1234, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉3644≝⊰⇂)⫌⩉⩟(≪≴∭⊉3233))⨚⇆(≴∭⊉26146⪬≴∭⊉32611⫚↹⊑(⨈⪑≴∭⊉21351))⋝⋈⪟(↽≂≴∭⊉35566⨟⋌⩍≴∭⊉23134⋓≴∭⊉26205⪃⊛⇣≴∭⊉14430)=NaN","reverse_text":"NaN=((≴∭⊉3644≝⊰⇂)⫌⩉⩟(≪≴∭⊉3233))⨚⇆(≴∭⊉26146⪬≴∭⊉32611⫚↹⊑(⨈⪑≴∭⊉21351))⋝⋈⪟(↽≂≴∭⊉35566⨟⋌⩍≴∭⊉23134⋓≴∭⊉26205⪃⊛⇣≴∭⊉14430)","cot":[{"info":"≴∭⊉3644≝⊰⇂=≴∭⊉0","layer":3},{"info":"≪≴∭⊉3233=≴∭⊉2443","layer":3},{"info":"≴∭⊉0⫌⩉⩟≴∭⊉2443=≴∭⊉-101","layer":2},{"info":"≴∭⊉26146⪬≴∭⊉32611=≴∭⊉3412","layer":3},{"info":"⨈⪑≴∭⊉21351=≴∭⊉2350","layer":3},{"info":"≴∭⊉3412⫚↹⊑≴∭⊉2350=≴∭⊉-1206","layer":2},{"info":"≴∭⊉-101⨚⇆≴∭⊉-1206=NaN","layer":1},{"info":"≴∭⊉35566⨟⋌⩍≴∭⊉23134=NaN","layer":3},{"info":"≴∭⊉26205⪃⊛⇣≴∭⊉14430=≴∭⊉3412","layer":3},{"info":"NaN⋓≴∭⊉3412=≴∭⊉0","layer":2},{"info":"↽≂≴∭⊉0=≴∭⊉0","layer":1},{"info":"NaN⋝⋈⪟≴∭⊉0=NaN","layer":0}]}
+{"id":904,"expression_no_base_symbol":"((⇖($4468$∛≔))⊍⩺⋍(⫵↿$4548$)⋻⩜⩜$1164$⪃⊛⇣$2561$)↡⊰⫅(⊑($3299$⊭∹↮))⊋≦⊧(⫶⊄≣$1005$)∓⋝($6046$⨳⩥⨓$2805$)","expression":"((⇖(≴∭⊉16012∛≔))⊍⩺⋍(⫵↿≴∭⊉16155)⋻⩜⩜≴∭⊉3252⪃⊛⇣≴∭⊉10316)↡⊰⫅(⊑(≴∭⊉12422⊭∹↮))⊋≦⊧(⫶⊄≣≴∭⊉2634)∓⋝(≴∭⊉23425⨳⩥⨓≴∭⊉11115)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":35956,"operation_count":13,"complexity_ratio":2765.846153846154,"tree":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"unary","operator":"∛≔","unary_expr":{"type":"numeric_atoms","value":4468,"base":7}}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"numeric_atoms","value":4548,"base":7}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":1164,"base":7},"right_expr":{"type":"numeric_atoms","value":2561,"base":7}}}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":3299,"base":7}}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"numeric_atoms","value":1005,"base":7}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":6046,"base":7},"right_expr":{"type":"numeric_atoms","value":2805,"base":7}}}}},"used_operators":["VCtxkLNOzz","OXDGMFPWZM","tfWHHpNKUN","mGnSCrte3L","oDCm7WA9JY","ivGwdmUAux","rrgAzCduG9","oRDoc9rAEX","IkUmn0D7oy","xNBdhnnwKq","PoHhknlbAi","wxb3vTeyAj","nCS4ZIUYfx"],"dependent_operators":["Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","2DQ55sFlQl","d7ASUq0ydm","OKKcZfAt5B","212REbPD9h","gx7XJ7hdpj","nEsXyWgiOK","oWn0xqSxBt","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","W4YGzv6Whe","rysDP5nf3Z"],"result":"≴∭⊉422","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4468","layer":4},{"info":"compute unary expreesion, input=4468, op_id = mGnSCrte3L, unary_op_definition = 'a∛≔ = { (((⊙↵-a)⋾⨃∁(a⨻⩈⩔a))≝⊿(a⫸⇳(a⫯⪬∳a))) }', output=-inf","layer":3},{"info":"compute unary expreesion, input=-inf, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":2},{"info":"number node, value=4548","layer":4},{"info":"compute unary expreesion, input=4548, op_id = ivGwdmUAux, unary_op_definition = '⫵↿a = { ((a⫃⨇256)∽(a∀⇚≩66)) , if (⇨a)>=1 ; (↯⪼(a⨫⇇↔a)) , else }', output=137","layer":3},{"info":"number node, value=1164","layer":4},{"info":"number node, value=2561","layer":4},{"info":"compute binary expreesion, left_input=1164, right_input=2561, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=137, right_input=1234, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=1376","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=1376, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":1},{"info":"number node, value=3299","layer":4},{"info":"compute unary expreesion, input=3299, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=6598","layer":3},{"info":"compute unary expreesion, input=6598, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":2},{"info":"number node, value=1005","layer":4},{"info":"compute unary expreesion, input=1005, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=18195229","layer":3},{"info":"number node, value=6046","layer":4},{"info":"number node, value=2805","layer":4},{"info":"compute binary expreesion, left_input=6046, right_input=2805, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-3241","layer":3},{"info":"compute binary expreesion, left_input=18195229, right_input=-3241, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":2},{"info":"compute binary expreesion, left_input=192, right_input=67, op_id = oRDoc9rAEX binary_op_definition= 'a⊋≦⊧b = { (((24⊉≛↸a)⊉≛↸(⩦⩻⨪b))⊉≛↸((a⊠≄⫣)⪨≂(b⇼⇔∾a))) , if a<=128 ; (((a⇼⇔∾b)⨁⊸⫻)⇼⇔∾((22⋳⪒a)⨰(a≧⫂∧a))) , else }', output=106","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=106, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=212","layer":0}],"base":7,"result_base":7,"text":"((⇖(≴∭⊉16012∛≔))⊍⩺⋍(⫵↿≴∭⊉16155)⋻⩜⩜≴∭⊉3252⪃⊛⇣≴∭⊉10316)↡⊰⫅(⊑(≴∭⊉12422⊭∹↮))⊋≦⊧(⫶⊄≣≴∭⊉2634)∓⋝(≴∭⊉23425⨳⩥⨓≴∭⊉11115)=≴∭⊉422","reverse_text":"≴∭⊉422=((⇖(≴∭⊉16012∛≔))⊍⩺⋍(⫵↿≴∭⊉16155)⋻⩜⩜≴∭⊉3252⪃⊛⇣≴∭⊉10316)↡⊰⫅(⊑(≴∭⊉12422⊭∹↮))⊋≦⊧(⫶⊄≣≴∭⊉2634)∓⋝(≴∭⊉23425⨳⩥⨓≴∭⊉11115)","cot":[{"info":"≴∭⊉16012∛≔=-Inf","layer":3},{"info":"⇖-Inf=≴∭⊉316","layer":2},{"info":"⫵↿≴∭⊉16155=≴∭⊉254","layer":3},{"info":"≴∭⊉3252⪃⊛⇣≴∭⊉10316=≴∭⊉3412","layer":3},{"info":"≴∭⊉254⋻⩜⩜≴∭⊉3412=≴∭⊉4004","layer":2},{"info":"≴∭⊉316⊍⩺⋍≴∭⊉4004=NaN","layer":1},{"info":"≴∭⊉12422⊭∹↮=≴∭⊉25144","layer":3},{"info":"⊑≴∭⊉25144=≴∭⊉363","layer":2},{"info":"⫶⊄≣≴∭⊉2634=≴∭⊉310441213","layer":3},{"info":"≴∭⊉23425⨳⩥⨓≴∭⊉11115=≴∭⊉-12310","layer":3},{"info":"≴∭⊉310441213∓⋝≴∭⊉-12310=≴∭⊉124","layer":2},{"info":"≴∭⊉363⊋≦⊧≴∭⊉124=≴∭⊉211","layer":1},{"info":"NaN↡⊰⫅≴∭⊉211=≴∭⊉422","layer":0}]}
+{"id":905,"expression_no_base_symbol":"((⋼∭⪍$7853$⫉⨲⊜$1431$)+⪬∐(⪓⩚(⨝⨆$1310$)))⋕⪉⪜((⊄⩳↩(⪫⨮⊛$3039$))∙⊟($2462$≥⨤⩑$2918$)≀⫉($9011$∕⩚$5430$))","expression":"((⋼∭⪍≴∭⊉31616⫉⨲⊜≴∭⊉4113)+⪬∐(⪓⩚(⨝⨆≴∭⊉3551)))⋕⪉⪜((⊄⩳↩(⪫⨮⊛≴∭⊉11601))∙⊟(≴∭⊉10115≥⨤⩑≴∭⊉11336)≀⫉(≴∭⊉35162∕⩚≴∭⊉21555))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1845824,"operation_count":12,"complexity_ratio":153818.66666666666,"tree":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":7853,"base":7},"right_expr":{"type":"numeric_atoms","value":1431,"base":7}}},"right_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"numeric_atoms","value":1310,"base":7}}}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"numeric_atoms","value":3039,"base":7}}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":2462,"base":7},"right_expr":{"type":"numeric_atoms","value":2918,"base":7}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":9011,"base":7},"right_expr":{"type":"numeric_atoms","value":5430,"base":7}}}}},"used_operators":["z6LnFrNh4i","2GS7woTJqF","DbCuESL50I","WhqkvtTD3t","u0R0Locfp2","bQ67fsrMVf","SxTAKzQCrw","8w2t5hMYqp","w5FWba1tyO","oZj3VtZNQx","gJLn6v0xnP","z9ffQ9n5Zr"],"dependent_operators":["sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","g55IO6H4Gj","D4vGDi5EA2","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","eewbuw0ToL","zVYPLywUTj","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","tifHPKVTfV","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr"],"result":"≴∭⊉411","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=7853","layer":4},{"info":"number node, value=1431","layer":4},{"info":"compute binary expreesion, left_input=7853, right_input=1431, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=946","layer":2},{"info":"number node, value=1310","layer":4},{"info":"compute unary expreesion, input=1310, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=1101","layer":3},{"info":"compute unary expreesion, input=1101, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":2},{"info":"compute binary expreesion, left_input=946, right_input=426, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-2838","layer":1},{"info":"number node, value=3039","layer":4},{"info":"compute unary expreesion, input=3039, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":2},{"info":"number node, value=2462","layer":4},{"info":"number node, value=2918","layer":4},{"info":"compute binary expreesion, left_input=2462, right_input=2918, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"number node, value=9011","layer":4},{"info":"number node, value=5430","layer":4},{"info":"compute binary expreesion, left_input=9011, right_input=5430, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-9014","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=-9014, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2822, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-2838, right_input=nan, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":0}],"base":7,"result_base":7,"text":"((⋼∭⪍≴∭⊉31616⫉⨲⊜≴∭⊉4113)+⪬∐(⪓⩚(⨝⨆≴∭⊉3551)))⋕⪉⪜((⊄⩳↩(⪫⨮⊛≴∭⊉11601))∙⊟(≴∭⊉10115≥⨤⩑≴∭⊉11336)≀⫉(≴∭⊉35162∕⩚≴∭⊉21555))=≴∭⊉411","reverse_text":"≴∭⊉411=((⋼∭⪍≴∭⊉31616⫉⨲⊜≴∭⊉4113)+⪬∐(⪓⩚(⨝⨆≴∭⊉3551)))⋕⪉⪜((⊄⩳↩(⪫⨮⊛≴∭⊉11601))∙⊟(≴∭⊉10115≥⨤⩑≴∭⊉11336)≀⫉(≴∭⊉35162∕⩚≴∭⊉21555))","cot":[{"info":"≴∭⊉31616⫉⨲⊜≴∭⊉4113=≴∭⊉0","layer":3},{"info":"⋼∭⪍≴∭⊉0=≴∭⊉2521","layer":2},{"info":"⨝⨆≴∭⊉3551=≴∭⊉3132","layer":3},{"info":"⪓⩚≴∭⊉3132=≴∭⊉1146","layer":2},{"info":"≴∭⊉2521+⪬∐≴∭⊉1146=≴∭⊉-11163","layer":1},{"info":"⪫⨮⊛≴∭⊉11601=NaN","layer":3},{"info":"⊄⩳↩NaN=NaN","layer":2},{"info":"≴∭⊉10115≥⨤⩑≴∭⊉11336=≴∭⊉3412","layer":3},{"info":"≴∭⊉35162∕⩚≴∭⊉21555=≴∭⊉-35165","layer":3},{"info":"≴∭⊉3412≀⫉≴∭⊉-35165=≴∭⊉11141","layer":2},{"info":"NaN∙⊟≴∭⊉11141=NaN","layer":1},{"info":"≴∭⊉-11163⋕⪉⪜NaN=≴∭⊉411","layer":0}]}
+{"id":906,"expression_no_base_symbol":"⨣⨃⇪(($1142$⋆⋳)≎⊠⪸$1048$⊬⨰$4389$)↞⋁(⪓⩚$3500$)⨂≜($1896$⨝⩣∺)","expression":"⨣⨃⇪((≴∭⊉3221⋆⋳)≎⊠⪸≴∭⊉3025⊬⨰≴∭⊉15540)↞⋁(⪓⩚≴∭⊉13130)⨂≜(≴∭⊉5346⨝⩣∺)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4307,"operation_count":8,"complexity_ratio":538.375,"tree":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⋆⋳","unary_expr":{"type":"numeric_atoms","value":1142,"base":7}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":1048,"base":7},"right_expr":{"type":"numeric_atoms","value":4389,"base":7}}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"numeric_atoms","value":3500,"base":7}},"right_expr":{"type":"unary","operator":"⨝⩣∺","unary_expr":{"type":"numeric_atoms","value":1896,"base":7}}}}},"used_operators":["AcOhelriW5","RqrPlJkxDo","bJkvcejdHO","6MpZysEj17","s3Fd5m9Dh2","k1SHOSEABc","u0R0Locfp2","ancx8kZcWl"],"dependent_operators":["s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","9FxExcQeMw","7j4O788W3g","DIvbN7qnHd","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","DZ8iAZOCBD","t8gj7n24qd"],"result":"≴∭⊉4045","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1142","layer":4},{"info":"compute unary expreesion, input=1142, op_id = 6MpZysEj17, unary_op_definition = 'a⋆⋳ = { ((a⊠≄⫣)⩷∴(a↺a)) }', output=-2316","layer":3},{"info":"number node, value=1048","layer":4},{"info":"number node, value=4389","layer":4},{"info":"compute binary expreesion, left_input=1048, right_input=4389, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=17548","layer":3},{"info":"compute binary expreesion, left_input=-2316, right_input=17548, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=599844","layer":2},{"info":"number node, value=3500","layer":4},{"info":"compute unary expreesion, input=3500, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":3},{"info":"number node, value=1896","layer":4},{"info":"compute unary expreesion, input=1896, op_id = ancx8kZcWl, unary_op_definition = 'a⨝⩣∺ = { (-(a⊉≛↸a)) }', output=-3792","layer":3},{"info":"compute binary expreesion, left_input=426, right_input=-3792, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑���⊟b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=599844, right_input=nan, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":0}],"base":7,"result_base":7,"text":"⨣⨃⇪((≴∭⊉3221⋆⋳)≎⊠⪸≴∭⊉3025⊬⨰≴∭⊉15540)↞⋁(⪓⩚≴∭⊉13130)⨂≜(≴∭⊉5346⨝⩣∺)=≴∭⊉4045","reverse_text":"≴∭⊉4045=⨣⨃⇪((≴∭⊉3221⋆⋳)≎⊠⪸≴∭⊉3025⊬⨰≴∭⊉15540)↞⋁(⪓⩚≴∭⊉13130)⨂≜(≴∭⊉5346⨝⩣∺)","cot":[{"info":"≴∭⊉3221⋆⋳=≴∭⊉-6516","layer":3},{"info":"≴∭⊉3025⊬⨰≴∭⊉15540=≴∭⊉102106","layer":3},{"info":"≴∭⊉-6516≎⊠⪸≴∭⊉102106=≴∭⊉5045550","layer":2},{"info":"⪓⩚≴∭⊉13130=≴∭⊉1146","layer":3},{"info":"≴∭⊉5346⨝⩣∺=≴∭⊉-14025","layer":3},{"info":"≴∭⊉1146⨂≜≴∭⊉-14025=NaN","layer":2},{"info":"≴∭⊉5045550↞⋁NaN=NaN","layer":1},{"info":"⨣⨃⇪NaN=≴∭⊉4045","layer":0}]}
+{"id":907,"expression_no_base_symbol":"(⊆⋠(⇺⋃($9021$⨽∌$2027$)))⫗⊷⫓($3190$⨐$1181$⪔$2273$∼$3856$≫≃)","expression":"(⊆⋠(⇺⋃(≴∭⊉35205⨽∌≴∭⊉5624)))⫗⊷⫓(≴∭⊉12205⨐≴∭⊉3305⪔≴∭⊉6425∼≴∭⊉14146≫≃)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":11475,"operation_count":8,"complexity_ratio":1434.375,"tree":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":9021,"base":7},"right_expr":{"type":"numeric_atoms","value":2027,"base":7}}}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":3190,"base":7},"right_expr":{"type":"numeric_atoms","value":1181,"base":7}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2273,"base":7},"right_expr":{"type":"numeric_atoms","value":3856,"base":7}}}}},"used_operators":["zashukvMKz","EBhcHTkKd8","E5v5B3UAjG","9samAPKr6k","X99M06cbEe","GjBEYRfMaF","Noe24qw2ks","DyGG3AbaNP"],"dependent_operators":["xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"≴∭⊉-251","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=9021","layer":4},{"info":"number node, value=2027","layer":4},{"info":"compute binary expreesion, left_input=9021, right_input=2027, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=169","layer":2},{"info":"compute unary expreesion, input=169, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=348","layer":1},{"info":"number node, value=3190","layer":4},{"info":"number node, value=1181","layer":4},{"info":"compute binary expreesion, left_input=3190, right_input=1181, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-6380","layer":3},{"info":"number node, value=2273","layer":4},{"info":"number node, value=3856","layer":4},{"info":"compute binary expreesion, left_input=2273, right_input=3856, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-6380, right_input=nan, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=348, right_input=nan, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":0}],"base":7,"result_base":7,"text":"(⊆⋠(⇺⋃(≴∭⊉35205⨽∌≴∭⊉5624)))⫗⊷⫓(≴∭⊉12205⨐≴∭⊉3305⪔≴∭⊉6425∼≴∭⊉14146≫≃)=≴∭⊉-251","reverse_text":"≴∭⊉-251=(⊆⋠(⇺⋃(≴∭⊉35205⨽∌≴∭⊉5624)))⫗⊷⫓(≴∭⊉12205⨐≴∭⊉3305⪔≴∭⊉6425∼≴∭⊉14146≫≃)","cot":[{"info":"≴∭⊉35205⨽∌≴∭⊉5624=≴∭⊉0","layer":3},{"info":"⇺⋃≴∭⊉0=≴∭⊉331","layer":2},{"info":"⊆⋠≴∭⊉331=≴∭⊉1005","layer":1},{"info":"≴∭⊉12205⨐≴∭⊉3305=≴∭⊉-24413","layer":3},{"info":"≴∭⊉6425∼≴∭⊉14146=NaN","layer":3},{"info":"≴∭⊉-24413⪔NaN=NaN","layer":2},{"info":"NaN≫≃=NaN","layer":1},{"info":"≴∭⊉1005⫗⊷⫓NaN=≴∭⊉-251","layer":0}]}
+{"id":908,"expression_no_base_symbol":"(($1376$⨵⪆$1086$)↸(⇜$7105$))⨚⇆($5143$≳⇉$3445$)∴($1176$⫥∨⫟$5275$)≀⩗∶($1850$⪬$2857$⇮⋭$4396$∺≝⩲$1759$≬⋮($4403$⪢$5847$)⋛$3995$⩼⇪↪$2402$)","expression":"((≴∭⊉4004⨵⪆≴∭⊉3111)↸(⇜≴∭⊉26500))⨚⇆(≴∭⊉20665≳⇉≴∭⊉13021)∴(≴∭⊉3300⫥∨⫟≴∭⊉21244)≀⩗∶(≴∭⊉5252⪬≴∭⊉11221⇮⋭≴∭⊉15550∺≝⩲≴∭⊉5062≬⋮(≴∭⊉15560⪢≴∭⊉23022)⋛≴∭⊉14435⩼⇪↪≴∭⊉10001)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":151850831,"operation_count":15,"complexity_ratio":10123388.733333332,"tree":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1376,"base":7},"right_expr":{"type":"numeric_atoms","value":1086,"base":7}},"right_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"numeric_atoms","value":7105,"base":7}}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":5143,"base":7},"right_expr":{"type":"numeric_atoms","value":3445,"base":7}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1176,"base":7},"right_expr":{"type":"numeric_atoms","value":5275,"base":7}}}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":1850,"base":7},"right_expr":{"type":"numeric_atoms","value":2857,"base":7}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":4396,"base":7},"right_expr":{"type":"numeric_atoms","value":1759,"base":7}}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":4403,"base":7},"right_expr":{"type":"numeric_atoms","value":5847,"base":7}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":3995,"base":7},"right_expr":{"type":"numeric_atoms","value":2402,"base":7}}}}},"used_operators":["8INZBEW696","lwHaAYXP2r","1eCjFl0mb9","2DQ55sFlQl","lFBm8KRb8F","hrf7POJlIJ","V0kx6qeWkN","KYD54nUTWz","kbkesczE7y","vkpjKywKVM","Ez1Nq5fNfI","KPf6cnQVty","YbUVn0Rbpy","dWAJyo7jo9","ocnLzx9CaJ"],"dependent_operators":["KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","8HhzD0ZcuI","rGHVDoGpnC","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","k8jYdgA6NY","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1376","layer":4},{"info":"number node, value=1086","layer":4},{"info":"compute binary expreesion, left_input=1376, right_input=1086, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=7105","layer":4},{"info":"compute unary expreesion, input=7105, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-57248","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-57248, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=160","layer":2},{"info":"number node, value=5143","layer":4},{"info":"number node, value=3445","layer":4},{"info":"compute binary expreesion, left_input=5143, right_input=3445, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"number node, value=1176","layer":4},{"info":"number node, value=5275","layer":4},{"info":"compute binary expreesion, left_input=1176, right_input=5275, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=-inf","layer":1},{"info":"number node, value=1850","layer":4},{"info":"number node, value=2857","layer":4},{"info":"compute binary expreesion, left_input=1850, right_input=2857, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"number node, value=4396","layer":4},{"info":"number node, value=1759","layer":4},{"info":"compute binary expreesion, left_input=4396, right_input=1759, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=160, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=124320","layer":2},{"info":"number node, value=4403","layer":4},{"info":"number node, value=5847","layer":4},{"info":"compute binary expreesion, left_input=4403, right_input=5847, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=3995","layer":4},{"info":"number node, value=2402","layer":4},{"info":"compute binary expreesion, left_input=3995, right_input=2402, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-9607","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-9607, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-28176","layer":2},{"info":"compute binary expreesion, left_input=124320, right_input=-28176, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":1},{"info":"compute binary expreesion, left_input=-inf, right_input=868, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉4004⨵⪆≴∭⊉3111)↸(⇜≴∭⊉26500))⨚⇆(≴∭⊉20665≳⇉≴∭⊉13021)∴(≴∭⊉3300⫥∨⫟≴∭⊉21244)≀⩗∶(≴∭⊉5252⪬≴∭⊉11221⇮⋭≴∭⊉15550∺≝⩲≴∭⊉5062≬⋮(≴∭⊉15560⪢≴∭⊉23022)⋛≴∭⊉14435⩼⇪↪≴∭⊉10001)=≴∭⊉0","reverse_text":"≴∭⊉0=((≴∭⊉4004⨵⪆≴∭⊉3111)↸(⇜≴∭⊉26500))⨚⇆(≴∭⊉20665≳⇉≴∭⊉13021)∴(≴∭⊉3300⫥∨⫟≴∭⊉21244)≀⩗∶(≴∭⊉5252⪬≴∭⊉11221⇮⋭≴∭⊉15550∺≝⩲≴∭⊉5062≬⋮(≴∭⊉15560⪢≴∭⊉23022)⋛≴∭⊉14435⩼⇪↪≴∭⊉10001)","cot":[{"info":"≴∭⊉4004⨵⪆≴∭⊉3111=≴∭⊉316","layer":3},{"info":"⇜≴∭⊉26500=≴∭⊉-325622","layer":3},{"info":"≴∭⊉316↸≴∭⊉-325622=≴∭⊉316","layer":2},{"info":"≴∭⊉20665≳⇉≴∭⊉13021=NaN","layer":3},{"info":"≴∭⊉3300⫥∨⫟≴∭⊉21244=NaN","layer":3},{"info":"NaN∴NaN=NaN","layer":2},{"info":"≴∭⊉316⨚⇆NaN=-Inf","layer":1},{"info":"≴∭⊉5252⪬≴∭⊉11221=≴∭⊉3412","layer":3},{"info":"≴∭⊉15550∺≝⩲≴∭⊉5062=≴∭⊉316","layer":3},{"info":"≴∭⊉3412⇮⋭≴∭⊉316=≴∭⊉1025310","layer":2},{"info":"≴∭⊉15560⪢≴∭⊉23022=NaN","layer":3},{"info":"≴∭⊉14435⩼⇪↪≴∭⊉10001=≴∭⊉-40003","layer":3},{"info":"NaN⋛≴∭⊉-40003=≴∭⊉-145101","layer":2},{"info":"≴∭⊉1025310≬⋮≴∭⊉-145101=≴∭⊉2350","layer":1},{"info":"-Inf≀⩗∶≴∭⊉2350=≴∭⊉0","layer":0}]}
+{"id":909,"expression_no_base_symbol":"($2984$⨫⇇↔$1445$⩺⪪$5157$↳∿⪆$4027$)≌(⨙⪌(⨝⨆$1492$))↡⊰⫅(($3087$⨽∌$3504$⩨(⊀$2900$))⊀⩕)","expression":"(≴∭⊉11462⨫⇇↔≴∭⊉4133⩺⪪≴∭⊉21015↳∿⪆≴∭⊉14512)≌(⨙⪌(⨝⨆≴∭⊉4231))↡⊰⫅((≴∭⊉12000⨽∌≴∭⊉13134⩨(⊀≴∭⊉11312))⊀⩕)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":763965,"operation_count":11,"complexity_ratio":69451.36363636363,"tree":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":2984,"base":7},"right_expr":{"type":"numeric_atoms","value":1445,"base":7}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":5157,"base":7},"right_expr":{"type":"numeric_atoms","value":4027,"base":7}}},"right_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"numeric_atoms","value":1492,"base":7}}}},"right_expr":{"type":"unary","operator":"⊀⩕","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":3087,"base":7},"right_expr":{"type":"numeric_atoms","value":3504,"base":7}},"right_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"numeric_atoms","value":2900,"base":7}}}}},"used_operators":["VCtxkLNOzz","lyWz822IDG","uvdQJvN4PV","LXhwmt4mBO","Cw4SuJJGHO","vEGLkm4Z2k","bQ67fsrMVf","r0FS3hW4cC","2DlMacCsIx","9samAPKr6k","oPMjh9089D"],"dependent_operators":["Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","tifHPKVTfV","rGHVDoGpnC","nhYeJWJD5X","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=2984","layer":4},{"info":"number node, value=1445","layer":4},{"info":"compute binary expreesion, left_input=2984, right_input=1445, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"number node, value=5157","layer":4},{"info":"number node, value=4027","layer":4},{"info":"compute binary expreesion, left_input=5157, right_input=4027, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-527, right_input=nan, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=nan","layer":2},{"info":"number node, value=1492","layer":4},{"info":"compute unary expreesion, input=1492, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=1283","layer":3},{"info":"compute unary expreesion, input=1283, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=868, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=12564","layer":1},{"info":"number node, value=3087","layer":4},{"info":"number node, value=3504","layer":4},{"info":"compute binary expreesion, left_input=3087, right_input=3504, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"number node, value=2900","layer":4},{"info":"compute unary expreesion, input=2900, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=11338","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=11338, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = r0FS3hW4cC, unary_op_definition = 'a⊀⩕ = { (a⨟⋌⩍(181∇⊂⋱a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=12564, right_input=nan, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉11462⨫⇇↔≴∭⊉4133⩺⪪≴∭⊉21015↳∿⪆≴∭⊉14512)≌(⨙⪌(⨝⨆≴∭⊉4231))↡⊰⫅((≴∭⊉12000⨽∌≴∭⊉13134⩨(⊀≴∭⊉11312))⊀⩕)=NaN","reverse_text":"NaN=(≴∭⊉11462⨫⇇↔≴∭⊉4133⩺⪪≴∭⊉21015↳∿⪆≴∭⊉14512)≌(⨙⪌(⨝⨆≴∭⊉4231))↡⊰⫅((≴∭⊉12000⨽∌≴∭⊉13134⩨(⊀≴∭⊉11312))⊀⩕)","cot":[{"info":"≴∭⊉11462⨫⇇↔≴∭⊉4133=≴∭⊉-1352","layer":3},{"info":"≴∭⊉21015↳∿⪆≴∭⊉14512=NaN","layer":3},{"info":"≴∭⊉-1352⩺⪪NaN=NaN","layer":2},{"info":"⨝⨆≴∭⊉4231=≴∭⊉3512","layer":3},{"info":"⨙⪌≴∭⊉3512=≴∭⊉2350","layer":2},{"info":"NaN≌≴∭⊉2350=≴∭⊉51426","layer":1},{"info":"≴∭⊉12000⨽∌≴∭⊉13134=≴∭⊉0","layer":3},{"info":"⊀≴∭⊉11312=≴∭⊉45025","layer":3},{"info":"≴∭⊉0⩨≴∭⊉45025=NaN","layer":2},{"info":"NaN⊀⩕=NaN","layer":1},{"info":"≴∭⊉51426↡⊰⫅NaN=NaN","layer":0}]}
+{"id":910,"expression_no_base_symbol":"(($5236$⩍⋽⫝̸$1110$⨽⪊≇)⊹≧⊝)⋥⋵⩄(($5373$⫲≸⪮$2707$)≁↽≥($2694$≁↽≥$2708$)⩭)","expression":"((≴∭⊉21160⩍⋽⫝̸≴∭⊉3144⨽⪊≇)⊹≧⊝)⋥⋵⩄((≴∭⊉21444⫲≸⪮≴∭⊉10615)≁↽≥(≴∭⊉10566≁↽≥≴∭⊉10616)⩭)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":426133,"operation_count":8,"complexity_ratio":53266.625,"tree":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"unary","operator":"⊹≧⊝","unary_expr":{"type":"unary","operator":"⨽⪊≇","unary_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":5236,"base":7},"right_expr":{"type":"numeric_atoms","value":1110,"base":7}}}},"right_expr":{"type":"unary","operator":"⩭","unary_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":5373,"base":7},"right_expr":{"type":"numeric_atoms","value":2707,"base":7}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":2694,"base":7},"right_expr":{"type":"numeric_atoms","value":2708,"base":7}}}}},"used_operators":["7t3wd0Fuz7","LxFB4K6j0n","nlCqmYiOvY","BiWNJpBvwn","yIPP7u6H5x","ncHt1X6cMc","P3lXMJvFrc"],"dependent_operators":["IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","NTOWxs364D","P8v4zCKN1o","XPYlsWDdGa","DZ8iAZOCBD","t8gj7n24qd","g55IO6H4Gj","eewbuw0ToL","i8ToyICDmI","COABgblf1C","W4YGzv6Whe","sdazOOVcIp","XIabStNQrY","Ph9nP6C5qx","xUOZtlo3hN","nOKPl9n5zu","SUmda5xLS4","9HNa5Wba9A","fu6greOZ01","3tVxb0NHM4","GjBEYRfMaF","oWn0xqSxBt","3Oe9XWJUTD","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5236","layer":4},{"info":"number node, value=1110","layer":4},{"info":"compute binary expreesion, left_input=5236, right_input=1110, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=164","layer":3},{"info":"compute unary expreesion, input=164, op_id = nlCqmYiOvY, unary_op_definition = 'a⨽⪊≇ = { ((a⇋≉)⪨≂(a+216)) }', output=-198","layer":2},{"info":"compute unary expreesion, input=-198, op_id = LxFB4K6j0n, unary_op_definition = 'a⊹≧⊝ = { (((∥⊫a)⊭↱(a⩚⊴⇥a))⊉≛↸(⪲⇎(⪲⇎a))) , if a!=566 ; (-((a∲⫓a)⨸⪁(a⨰a))) , else }', output=792","layer":1},{"info":"number node, value=5373","layer":4},{"info":"number node, value=2707","layer":4},{"info":"compute binary expreesion, left_input=5373, right_input=2707, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=5373","layer":3},{"info":"number node, value=2694","layer":4},{"info":"number node, value=2708","layer":4},{"info":"compute binary expreesion, left_input=2694, right_input=2708, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=39450","layer":3},{"info":"compute binary expreesion, left_input=5373, right_input=39450, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=90527","layer":2},{"info":"compute unary expreesion, input=90527, op_id = yIPP7u6H5x, unary_op_definition = 'a⩭ = { (((a⨐⩸⫘a)⪎↠(696*a))⪔(224⪄(⋗⩴⪓a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=792, right_input=nan, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉21160⩍⋽⫝̸≴∭⊉3144⨽⪊≇)⊹≧⊝)⋥⋵⩄((≴∭⊉21444⫲≸⪮≴∭⊉10615)≁↽≥(≴∭⊉10566≁↽≥≴∭⊉10616)⩭)=NaN","reverse_text":"NaN=((≴∭⊉21160⩍⋽⫝̸≴∭⊉3144⨽⪊≇)⊹≧⊝)⋥⋵⩄((≴∭⊉21444⫲≸⪮≴∭⊉10615)≁↽≥(≴∭⊉10566≁↽≥≴∭⊉10616)⩭)","cot":[{"info":"≴∭⊉21160⩍⋽⫝̸≴∭⊉3144=≴∭⊉323","layer":3},{"info":"≴∭⊉323⨽⪊≇=≴∭⊉-402","layer":2},{"info":"≴∭⊉-402⊹≧⊝=≴∭⊉2211","layer":1},{"info":"≴∭⊉21444⫲≸⪮≴∭⊉10615=≴∭⊉21444","layer":3},{"info":"≴∭⊉10566≁↽≥≴∭⊉10616=≴∭⊉223005","layer":3},{"info":"≴∭⊉21444≁↽≥≴∭⊉223005=≴∭⊉524633","layer":2},{"info":"≴∭⊉524633⩭=NaN","layer":1},{"info":"≴∭⊉2211⋥⋵⩄NaN=NaN","layer":0}]}
+{"id":911,"expression_no_base_symbol":"(≀↧⇸(($5958$⫏⊷)⨵⪆(↓⇌$1327$)))↪⪝","expression":"(≀↧⇸((≴∭⊉23241⫏⊷)⨵⪆(↓⇌≴∭⊉3604)))↪⪝","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":18772,"operation_count":5,"complexity_ratio":3754.4,"tree":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⫏⊷","unary_expr":{"type":"numeric_atoms","value":5958,"base":7}},"right_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"numeric_atoms","value":1327,"base":7}}}}},"used_operators":["l07mrZUIn9","ljTHtUsqzn","2DQ55sFlQl","dcShxvzhyw","PxpmPgHHJV"],"dependent_operators":["9HNa5Wba9A","2DDjHMKMc0","XPYlsWDdGa","23Mk6UjR3U","rysDP5nf3Z","t8gj7n24qd","FU0Cs4j7VP","7YooWSwCyH","HK0tfVPux8","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q"],"result":"≴∭⊉-653552556","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5958","layer":4},{"info":"compute unary expreesion, input=5958, op_id = dcShxvzhyw, unary_op_definition = 'a⫏⊷ = { ((224∪⫐a)⊾⪯⋞(a↛⩡⫤)) }', output=-820","layer":3},{"info":"number node, value=1327","layer":4},{"info":"compute unary expreesion, input=1327, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=1327","layer":3},{"info":"compute binary expreesion, left_input=-820, right_input=1327, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=-640","layer":1},{"info":"compute unary expreesion, input=-640, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=-39156480","layer":0}],"base":7,"result_base":7,"text":"(≀↧⇸((≴∭⊉23241⫏⊷)⨵⪆(↓⇌≴∭⊉3604)))↪⪝=≴∭⊉-653552556","reverse_text":"≴∭⊉-653552556=(≀↧⇸((≴∭⊉23241⫏⊷)⨵⪆(↓⇌≴∭⊉3604)))↪⪝","cot":[{"info":"≴∭⊉23241⫏⊷=≴∭⊉-2251","layer":3},{"info":"↓⇌≴∭⊉3604=≴∭⊉3604","layer":3},{"info":"≴∭⊉-2251⨵⪆≴∭⊉3604=≴∭⊉316","layer":2},{"info":"≀↧⇸≴∭⊉316=≴∭⊉-1603","layer":1},{"info":"≴∭⊉-1603↪⪝=≴∭⊉-653552556","layer":0}]}
+{"id":912,"expression_no_base_symbol":"⨩∲⋌((∑⇻≧$2239$⩚⊴⇥$8631$)⇮⋭(($1783$∑⇟⊟$2250$)⪚⩙≫))","expression":"⨩∲⋌((∑⇻≧≴∭⊉6346⩚⊴⇥≴∭⊉34110)⇮⋭((≴∭⊉5125∑⇟⊟≴∭⊉6363)⪚⩙≫))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":80,"operation_count":6,"complexity_ratio":13.333333333333334,"tree":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2239,"base":7},"right_expr":{"type":"numeric_atoms","value":8631,"base":7}}},"right_expr":{"type":"unary","operator":"⪚⩙≫","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1783,"base":7},"right_expr":{"type":"numeric_atoms","value":2250,"base":7}}}}},"used_operators":["aSik1wnThz","vkpjKywKVM","l1M9WJ3V7u","NTOWxs364D","4n53wtyJvv","U7g4x0WXJJ"],"dependent_operators":["rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","Uaa54Peajs","nCS4ZIUYfx","WR6HLWljOP","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2239","layer":4},{"info":"number node, value=8631","layer":4},{"info":"compute binary expreesion, left_input=2239, right_input=8631, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-10991","layer":3},{"info":"compute unary expreesion, input=-10991, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=10817","layer":2},{"info":"number node, value=1783","layer":4},{"info":"number node, value=2250","layer":4},{"info":"compute binary expreesion, left_input=1783, right_input=2250, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 4n53wtyJvv, unary_op_definition = 'a⪚⩙≫ = { ((316↢a)⨳⩥⨓(∂255)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=10817, right_input=nan, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"⨩∲⋌((∑⇻≧≴∭⊉6346⩚⊴⇥≴∭⊉34110)⇮⋭((≴∭⊉5125∑⇟⊟≴∭⊉6363)⪚⩙≫))=NaN","reverse_text":"NaN=⨩∲⋌((∑⇻≧≴∭⊉6346⩚⊴⇥≴∭⊉34110)⇮⋭((≴∭⊉5125∑⇟⊟≴∭⊉6363)⪚⩙≫))","cot":[{"info":"≴∭⊉6346⩚⊴⇥≴∭⊉34110=≴∭⊉-44021","layer":3},{"info":"∑⇻≧≴∭⊉-44021=≴∭⊉43352","layer":2},{"info":"≴∭⊉5125∑⇟⊟≴∭⊉6363=NaN","layer":3},{"info":"NaN⪚⩙≫=NaN","layer":2},{"info":"≴∭⊉43352⇮⋭NaN=NaN","layer":1},{"info":"⨩∲⋌NaN=NaN","layer":0}]}
+{"id":913,"expression_no_base_symbol":"(($6206$⊬⨰$1879$)↤⩊($4872$⩁⩘$1946$)⪒(($4222$⨽$3278$)⩱))∓⋝(($1309$⫗⊷⫓$4888$⩺⪪($1413$∪⫐$1425$))⪛($4424$⫘$1084$)≌($5272$⨰$1403$))","expression":"((≴∭⊉24044⊬⨰≴∭⊉5323)↤⩊(≴∭⊉20130⩁⩘≴∭⊉5450)⪒((≴∭⊉15211⨽≴∭⊉12362)⩱))∓⋝((≴∭⊉3550⫗⊷⫓≴∭⊉20152⩺⪪(≴∭⊉4056∪⫐≴∭⊉4104))⪛(≴∭⊉15620⫘≴∭⊉3106)≌(≴∭⊉21241⨰≴∭⊉4043))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":13922,"operation_count":14,"complexity_ratio":994.4285714285714,"tree":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":6206,"base":7},"right_expr":{"type":"numeric_atoms","value":1879,"base":7}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":4872,"base":7},"right_expr":{"type":"numeric_atoms","value":1946,"base":7}}},"right_expr":{"type":"unary","operator":"⩱","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":4222,"base":7},"right_expr":{"type":"numeric_atoms","value":3278,"base":7}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":1309,"base":7},"right_expr":{"type":"numeric_atoms","value":4888,"base":7}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":1413,"base":7},"right_expr":{"type":"numeric_atoms","value":1425,"base":7}}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":4424,"base":7},"right_expr":{"type":"numeric_atoms","value":1084,"base":7}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":5272,"base":7},"right_expr":{"type":"numeric_atoms","value":1403,"base":7}}}}},"used_operators":["PoHhknlbAi","f6k1SAg4EE","13rbtpv6ld","s3Fd5m9Dh2","gub5Cegaqo","uyq1hVkAcj","8HhzD0ZcuI","uFcxV4UQCh","uvdQJvN4PV","zashukvMKz","7YooWSwCyH","lyWz822IDG","48vC8HMD2b","eewbuw0ToL"],"dependent_operators":["DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","W4YGzv6Whe","t8gj7n24qd","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","DpFCA1CohY","IWmyXbctLI","DpFCA1CohY","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","COABgblf1C","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","rJVOvQCfKK","2DDjHMKMc0","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"≴∭⊉124","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6206","layer":4},{"info":"number node, value=1879","layer":4},{"info":"compute binary expreesion, left_input=6206, right_input=1879, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=12666","layer":3},{"info":"number node, value=4872","layer":4},{"info":"number node, value=1946","layer":4},{"info":"compute binary expreesion, left_input=4872, right_input=1946, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=8732","layer":3},{"info":"compute binary expreesion, left_input=12666, right_input=8732, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":2},{"info":"number node, value=4222","layer":4},{"info":"number node, value=3278","layer":4},{"info":"compute binary expreesion, left_input=4222, right_input=3278, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-53484372","layer":3},{"info":"compute unary expreesion, input=-53484372, op_id = uyq1hVkAcj, unary_op_definition = 'a⩱ = { ((⋗⩬⋾(a⊭↱a))↺((a⨸⪁a)⪒(a⨸⪁125))) }', output=320905982","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=320905982, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":1},{"info":"number node, value=1309","layer":4},{"info":"number node, value=4888","layer":4},{"info":"compute binary expreesion, left_input=1309, right_input=4888, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"number node, value=1413","layer":4},{"info":"number node, value=1425","layer":4},{"info":"compute binary expreesion, left_input=1413, right_input=1425, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=1413","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=1413, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-36042","layer":2},{"info":"number node, value=4424","layer":4},{"info":"number node, value=1084","layer":4},{"info":"compute binary expreesion, left_input=4424, right_input=1084, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=5207029","layer":3},{"info":"number node, value=5272","layer":4},{"info":"number node, value=1403","layer":4},{"info":"compute binary expreesion, left_input=5272, right_input=1403, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=3879","layer":3},{"info":"compute binary expreesion, left_input=5207029, right_input=3879, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-36042, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉24044⊬⨰≴∭⊉5323)↤⩊(≴∭⊉20130⩁⩘≴∭⊉5450)⪒((≴∭⊉15211⨽≴∭⊉12362)⩱))∓⋝((≴∭⊉3550⫗⊷⫓≴∭⊉20152⩺⪪(≴∭⊉4056∪⫐≴∭⊉4104))⪛(≴∭⊉15620⫘≴∭⊉3106)≌(≴∭⊉21241⨰≴∭⊉4043))=≴∭⊉124","reverse_text":"≴∭⊉124=((≴∭⊉24044⊬⨰≴∭⊉5323)↤⩊(≴∭⊉20130⩁⩘≴∭⊉5450)⪒((≴∭⊉15211⨽≴∭⊉12362)⩱))∓⋝((≴∭⊉3550⫗⊷⫓≴∭⊉20152⩺⪪(≴∭⊉4056∪⫐≴∭⊉4104))⪛(≴∭⊉15620⫘≴∭⊉3106)≌(≴∭⊉21241⨰≴∭⊉4043))","cot":[{"info":"≴∭⊉24044⊬⨰≴∭⊉5323=≴∭⊉51633","layer":3},{"info":"≴∭⊉20130⩁⩘≴∭⊉5450=≴∭⊉34313","layer":3},{"info":"≴∭⊉51633↤⩊≴∭⊉34313=NaN","layer":2},{"info":"≴∭⊉15211⨽≴∭⊉12362=≴∭⊉-1216416054","layer":3},{"info":"≴∭⊉-1216416054⩱=≴∭⊉10644440645","layer":2},{"info":"NaN⪒≴∭⊉10644440645=NaN","layer":1},{"info":"≴∭⊉3550⫗⊷⫓≴∭⊉20152=≴∭⊉-251","layer":3},{"info":"≴∭⊉4056∪⫐≴∭⊉4104=≴∭⊉4056","layer":3},{"info":"≴∭⊉-251⩺⪪≴∭⊉4056=≴∭⊉-210036","layer":2},{"info":"≴∭⊉15620⫘≴∭⊉3106=≴∭⊉62154562","layer":3},{"info":"≴∭⊉21241⨰≴∭⊉4043=≴∭⊉14211","layer":3},{"info":"≴∭⊉62154562≌≴∭⊉14211=NaN","layer":2},{"info":"≴∭⊉-210036⪛NaN=NaN","layer":1},{"info":"NaN∓⋝NaN=≴∭⊉124","layer":0}]}
+{"id":914,"expression_no_base_symbol":"⨈⫕((⪲⇎($2446$⊾⪯⋞$3496$))*($1258$⊨$1119$)⇡⇂($1077$⋷$6846$))","expression":"⨈⫕((⪲⇎(≴∭⊉10063⊾⪯⋞≴∭⊉13123))*(≴∭⊉3445⊨≴∭⊉3156)⇡⇂(≴∭⊉3066⋷≴∭⊉25650))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":63306,"operation_count":7,"complexity_ratio":9043.714285714286,"tree":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":2446,"base":7},"right_expr":{"type":"numeric_atoms","value":3496,"base":7}}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":1258,"base":7},"right_expr":{"type":"numeric_atoms","value":1119,"base":7}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1077,"base":7},"right_expr":{"type":"numeric_atoms","value":6846,"base":7}}}}},"used_operators":["megm06wKyl","9HNa5Wba9A","XPYlsWDdGa","HK0tfVPux8","UMwdvZNt44","vg4gO5BX6G","23Mk6UjR3U"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd"],"result":"≴∭⊉-30","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2446","layer":4},{"info":"number node, value=3496","layer":4},{"info":"compute binary expreesion, left_input=2446, right_input=3496, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=6566","layer":3},{"info":"compute unary expreesion, input=6566, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=13132","layer":2},{"info":"number node, value=1258","layer":4},{"info":"number node, value=1119","layer":4},{"info":"compute binary expreesion, left_input=1258, right_input=1119, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=6063","layer":3},{"info":"number node, value=1077","layer":4},{"info":"number node, value=6846","layer":4},{"info":"compute binary expreesion, left_input=1077, right_input=6846, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=12615","layer":3},{"info":"compute binary expreesion, left_input=6063, right_input=12615, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=13132, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":0}],"base":7,"result_base":7,"text":"⨈⫕((⪲⇎(≴∭⊉10063⊾⪯⋞≴∭⊉13123))*(≴∭⊉3445⊨≴∭⊉3156)⇡⇂(≴∭⊉3066⋷≴∭⊉25650))=≴∭⊉-30","reverse_text":"≴∭⊉-30=⨈⫕((⪲⇎(≴∭⊉10063⊾⪯⋞≴∭⊉13123))*(≴∭⊉3445⊨≴∭⊉3156)⇡⇂(≴∭⊉3066⋷≴∭⊉25650))","cot":[{"info":"≴∭⊉10063⊾⪯⋞≴∭⊉13123=≴∭⊉25100","layer":3},{"info":"⪲⇎≴∭⊉25100=≴∭⊉53200","layer":2},{"info":"≴∭⊉3445⊨≴∭⊉3156=≴∭⊉23451","layer":3},{"info":"≴∭⊉3066⋷≴∭⊉25650=≴∭⊉51531","layer":3},{"info":"≴∭⊉23451⇡⇂≴∭⊉51531=NaN","layer":2},{"info":"≴∭⊉53200*NaN=NaN","layer":1},{"info":"⨈⫕NaN=≴∭⊉-30","layer":0}]}
+{"id":915,"expression_no_base_symbol":"($3093$-$2269$)⊮⊟↴($1165$⩚⊴⇥$6138$)⫘(($4692$⋷$3066$)⇐≅)∷(↑$2358$)↓($3890$⨔≚≋$1404$)≳⇉(∷≠(≘$4565$))","expression":"(≴∭⊉12006-≴∭⊉6421)⊮⊟↴(≴∭⊉3253⩚⊴⇥≴∭⊉23616)⫘((≴∭⊉16452⋷≴∭⊉11640)⇐≅)∷(↑≴∭⊉6606)↓(≴∭⊉14225⨔≚≋≴∭⊉4044)≳⇉(∷≠(≘≴∭⊉16211))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":10612259,"operation_count":13,"complexity_ratio":816327.6153846154,"tree":{"type":"binary","operator":"∷","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3093,"base":7},"right_expr":{"type":"numeric_atoms","value":2269,"base":7}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1165,"base":7},"right_expr":{"type":"numeric_atoms","value":6138,"base":7}}},"right_expr":{"type":"unary","operator":"⇐≅","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":4692,"base":7},"right_expr":{"type":"numeric_atoms","value":3066,"base":7}}}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"numeric_atoms","value":2358,"base":7}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":3890,"base":7},"right_expr":{"type":"numeric_atoms","value":1404,"base":7}}},"right_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"numeric_atoms","value":4565,"base":7}}}}},"used_operators":["D3AQDKkPcf","48vC8HMD2b","QDVgd2eftb","rysDP5nf3Z","NTOWxs364D","wEfv7U73WA","23Mk6UjR3U","V0kx6qeWkN","Af076pWI7l","tR7O2zTn5j","Z57zeUYC9z","QiR2Oyf5Xj","tcjXMdvYtA"],"dependent_operators":["9FxExcQeMw","NTOWxs364D","7j4O788W3g","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9FxExcQeMw","t8gj7n24qd","Ph9nP6C5qx","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","7j4O788W3g","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3093","layer":4},{"info":"number node, value=2269","layer":4},{"info":"compute binary expreesion, left_input=3093, right_input=2269, op_id = rysDP5nf3Z binary_op_definition= 'None', output=824","layer":3},{"info":"number node, value=1165","layer":4},{"info":"number node, value=6138","layer":4},{"info":"compute binary expreesion, left_input=1165, right_input=6138, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-7424","layer":3},{"info":"compute binary expreesion, left_input=824, right_input=-7424, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=406501","layer":2},{"info":"number node, value=4692","layer":4},{"info":"number node, value=3066","layer":4},{"info":"compute binary expreesion, left_input=4692, right_input=3066, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1440","layer":3},{"info":"compute unary expreesion, input=1440, op_id = wEfv7U73WA, unary_op_definition = 'a⇐≅ = { ((a⩷∴(a∲⫓a))≧⫂∧(-a)) }', output=4288","layer":2},{"info":"compute binary expreesion, left_input=406501, right_input=4288, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=478049581","layer":1},{"info":"number node, value=2358","layer":4},{"info":"compute unary expreesion, input=2358, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":3},{"info":"number node, value=3890","layer":4},{"info":"number node, value=1404","layer":4},{"info":"compute binary expreesion, left_input=3890, right_input=1404, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"compute binary expreesion, left_input=192, right_input=9872, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":2},{"info":"number node, value=4565","layer":4},{"info":"compute unary expreesion, input=4565, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=10066609","layer":3},{"info":"compute unary expreesion, input=10066609, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=10066609","layer":2},{"info":"compute binary expreesion, left_input=-134, right_input=10066609, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=478049581, right_input=nan, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉12006-≴∭⊉6421)⊮⊟↴(≴∭⊉3253⩚⊴⇥≴∭⊉23616)⫘((≴∭⊉16452⋷≴∭⊉11640)⇐≅)∷(↑≴∭⊉6606)↓(≴∭⊉14225⨔≚≋≴∭⊉4044)≳⇉(∷≠(≘≴∭⊉16211))=NaN","reverse_text":"NaN=(≴∭⊉12006-≴∭⊉6421)⊮⊟↴(≴∭⊉3253⩚⊴⇥≴∭⊉23616)⫘((≴∭⊉16452⋷≴∭⊉11640)⇐≅)∷(↑≴∭⊉6606)↓(≴∭⊉14225⨔≚≋≴∭⊉4044)≳⇉(∷≠(≘≴∭⊉16211))","cot":[{"info":"≴∭⊉12006-≴∭⊉6421=≴∭⊉2255","layer":3},{"info":"≴∭⊉3253⩚⊴⇥≴∭⊉23616=≴∭⊉-30434","layer":3},{"info":"≴∭⊉2255⊮⊟↴≴∭⊉-30434=≴∭⊉3312064","layer":2},{"info":"≴∭⊉16452⋷≴∭⊉11640=≴∭⊉4125","layer":3},{"info":"≴∭⊉4125⇐≅=≴∭���15334","layer":2},{"info":"≴∭⊉3312064⫘≴∭⊉15334=≴∭⊉14563232362","layer":1},{"info":"↑≴∭⊉6606=≴∭⊉363","layer":3},{"info":"≴∭⊉14225⨔≚≋≴∭⊉4044=≴∭⊉40532","layer":3},{"info":"≴∭⊉363↓≴∭⊉40532=≴∭⊉-251","layer":2},{"info":"≘≴∭⊉16211=≴∭⊉151364500","layer":3},{"info":"∷≠≴∭⊉151364500=≴∭⊉151364500","layer":2},{"info":"≴∭⊉-251≳⇉≴∭⊉151364500=NaN","layer":1},{"info":"≴∭⊉14563232362∷NaN=NaN","layer":0}]}
+{"id":916,"expression_no_base_symbol":"((↩($1881$⇔⨋))⋻⩜⩜(⇜$2421$)↹⊜$3644$⪬$2155$)⩦(↥≼⋛(⇺⋃($3285$⨚$3039$)))","expression":"((↩(≴∭⊉5325⇔⨋))⋻⩜⩜(⇜≴∭⊉10026)↹⊜≴∭⊉13424⪬≴∭⊉6166)⩦(↥≼⋛(⇺⋃(≴∭⊉12402⨚≴∭⊉11601)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":140609,"operation_count":10,"complexity_ratio":14060.9,"tree":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"unary","operator":"⇔⨋","unary_expr":{"type":"numeric_atoms","value":1881,"base":7}}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"numeric_atoms","value":2421,"base":7}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":3644,"base":7},"right_expr":{"type":"numeric_atoms","value":2155,"base":7}}}},"right_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":3285,"base":7},"right_expr":{"type":"numeric_atoms","value":3039,"base":7}}}}},"used_operators":["0kmYd0q39Y","oDCm7WA9JY","jLgFTUHLKL","uBihLCJcMX","9bazX3JMtO","lFBm8KRb8F","Ez1Nq5fNfI","x5lMkHmzsq","E5v5B3UAjG","nREPSIbpBE"],"dependent_operators":["N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","N41Kp7NANJ","7j4O788W3g","glklzrTFfD","tifHPKVTfV","12rbrZMWeM","f6k1SAg4EE","D4vGDi5EA2","nCS4ZIUYfx","QMFrweE19q","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","BjRHVeLaeN","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1881","layer":4},{"info":"compute unary expreesion, input=1881, op_id = uBihLCJcMX, unary_op_definition = 'a⇔⨋ = { (((a⨁⊸⫻)⋳⪒a)⪒((a≦≮≮)⨁⊸⫻)) , if a<217 ; (((a≋⫹)⨳⩥⨓(a↺a))⋳⪒((a⨳⩥⨓a)⫡⨏(a⇼⇔∾a))) , else }', output=10216","layer":3},{"info":"compute unary expreesion, input=10216, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-78948","layer":2},{"info":"number node, value=2421","layer":4},{"info":"compute unary expreesion, input=2421, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-19776","layer":3},{"info":"number node, value=3644","layer":4},{"info":"number node, value=2155","layer":4},{"info":"compute binary expreesion, left_input=3644, right_input=2155, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=-19776, right_input=1234, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-9968","layer":2},{"info":"compute binary expreesion, left_input=-78948, right_input=-9968, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=nan","layer":1},{"info":"number node, value=3285","layer":4},{"info":"number node, value=3039","layer":4},{"info":"compute binary expreesion, left_input=3285, right_input=3039, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-4652","layer":3},{"info":"compute unary expreesion, input=-4652, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-113","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-113, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((↩(≴∭⊉5325⇔⨋))⋻⩜⩜(⇜≴∭⊉10026)↹⊜≴∭⊉13424⪬≴∭⊉6166)⩦(↥≼⋛(⇺⋃(≴∭⊉12402⨚≴∭⊉11601)))=NaN","reverse_text":"NaN=((↩(≴∭⊉5325⇔⨋))⋻⩜⩜(⇜≴∭⊉10026)↹⊜≴∭⊉13424⪬≴∭⊉6166)⩦(↥≼⋛(⇺⋃(≴∭⊉12402⨚≴∭⊉11601)))","cot":[{"info":"≴∭⊉5325⇔⨋=≴∭⊉41533","layer":3},{"info":"↩≴∭⊉41533=≴∭⊉-446112","layer":2},{"info":"⇜≴∭⊉10026=≴∭⊉-111441","layer":3},{"info":"≴∭⊉13424⪬≴∭⊉6166=≴∭⊉3412","layer":3},{"info":"≴∭⊉-111441↹⊜≴∭⊉3412=≴∭⊉-41030","layer":2},{"info":"≴∭⊉-446112⋻⩜⩜≴∭⊉-41030=NaN","layer":1},{"info":"≴∭⊉12402⨚≴∭⊉11601=≴∭⊉-16364","layer":3},{"info":"⇺⋃≴∭⊉-16364=NaN","layer":2},{"info":"↥≼⋛NaN=≴∭⊉-221","layer":1},{"info":"NaN⩦≴∭⊉-221=NaN","layer":0}]}
+{"id":917,"expression_no_base_symbol":"($1418$⊬⨰$1262$⨲)≒∊(≛$5293$)⪒⊣⊆$4509$⨔⇊$1183$⨑≵⋬((($1095$⪃↞⩐)∩⋅)⪨≂($2458$⪨≂$1974$⫚↹⊑$5433$⨟⋌⩍$3868$))","expression":"(≴∭⊉4064⊬⨰≴∭⊉3452⨲)≒∊(≛≴∭⊉21301)⪒⊣⊆≴∭⊉16101⨔⇊≴∭⊉3310⨑≵⋬(((≴∭⊉3123⪃↞⩐)∩⋅)⪨≂(≴∭⊉10111⪨≂≴∭⊉5520⫚↹⊑≴∭⊉21561⨟⋌⩍≴∭⊉14164))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":820954,"operation_count":13,"complexity_ratio":63150.307692307695,"tree":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"unary","operator":"⨲","unary_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":1418,"base":7},"right_expr":{"type":"numeric_atoms","value":1262,"base":7}}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"numeric_atoms","value":5293,"base":7}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":4509,"base":7},"right_expr":{"type":"numeric_atoms","value":1183,"base":7}}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"∩⋅","unary_expr":{"type":"unary","operator":"⪃↞⩐","unary_expr":{"type":"numeric_atoms","value":1095,"base":7}}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2458,"base":7},"right_expr":{"type":"numeric_atoms","value":1974,"base":7}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":5433,"base":7},"right_expr":{"type":"numeric_atoms","value":3868,"base":7}}}}},"used_operators":["XnXgA4xnOs","5KTvxBwnZo","nLYMGWM7L8","s3Fd5m9Dh2","eRqsBgTDFp","W7eaUhjymW","JclMnS0uGI","sdazOOVcIp","2MzE1hQ0cz","grXIztHqDa","dfKe02y8D2","rGHVDoGpnC"],"dependent_operators":["eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","DlLNRPXxWL","WR6HLWljOP","48vC8HMD2b","SUmda5xLS4","wicAB68Tmb","hrf7POJlIJ","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","sdazOOVcIp","W4YGzv6Whe","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","IwW236VD4Y","bF6eod5Gvf","l07mrZUIn9","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","Tcnh7f0tEr"],"result":"-Inf","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1418","layer":4},{"info":"number node, value=1262","layer":4},{"info":"compute binary expreesion, left_input=1418, right_input=1262, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=5410","layer":3},{"info":"compute unary expreesion, input=5410, op_id = nLYMGWM7L8, unary_op_definition = 'a⨲ = { ((a↢a)∴(118⪝a)) , if a==152 ; ((a⪄a)⫘(⫛⫱⨽a)) , else }', output=962453389","layer":2},{"info":"number node, value=5293","layer":4},{"info":"compute unary expreesion, input=5293, op_id = W7eaUhjymW, unary_op_definition = '≛a = { (((a+a)⊉≛↸(a⪠⩆⊳))⊭↱((a⪒a)⩚⊴⇥(a⋝⋈⪟a))) , if (a⫩⊇)>7 or a==273 ; (((a-a)⪒(a⪨≂a))⊉≛↸((a⨰a)⋝⋈⪟(a+a))) , else }', output=-10","layer":3},{"info":"number node, value=4509","layer":4},{"info":"number node, value=1183","layer":4},{"info":"compute binary expreesion, left_input=4509, right_input=1183, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=1183","layer":3},{"info":"compute binary expreesion, left_input=-10, right_input=1183, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=2488","layer":2},{"info":"compute binary expreesion, left_input=962453389, right_input=2488, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-962452905","layer":1},{"info":"number node, value=1095","layer":4},{"info":"compute unary expreesion, input=1095, op_id = grXIztHqDa, unary_op_definition = 'a⪃↞⩐ = { ((a→⨶⪴a)≠≀(a↪⪝)) }', output=6876","layer":3},{"info":"compute unary expreesion, input=6876, op_id = 2MzE1hQ0cz, unary_op_definition = 'a∩⋅ = { (a⋥≓≎44) }', output=-6755","layer":2},{"info":"number node, value=2458","layer":4},{"info":"number node, value=1974","layer":4},{"info":"compute binary expreesion, left_input=2458, right_input=1974, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=1070","layer":3},{"info":"number node, value=5433","layer":4},{"info":"number node, value=3868","layer":4},{"info":"compute binary expreesion, left_input=5433, right_input=3868, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1070, right_input=nan, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=-6755, right_input=-447, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-12514","layer":1},{"info":"compute binary expreesion, left_input=-962452905, right_input=-12514, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-inf","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉4064⊬⨰≴∭⊉3452⨲)≒∊(≛≴∭⊉21301)⪒⊣⊆≴∭⊉16101⨔⇊≴∭⊉3310⨑≵⋬(((≴∭⊉3123⪃↞⩐)∩⋅)⪨≂(≴∭⊉10111⪨≂≴∭⊉5520⫚↹⊑≴∭⊉21561⨟⋌⩍≴∭⊉14164))=-Inf","reverse_text":"-Inf=(≴∭⊉4064⊬⨰≴∭⊉3452⨲)≒∊(≛≴∭⊉21301)⪒⊣⊆≴∭⊉16101⨔⇊≴∭⊉3310⨑≵⋬(((≴∭⊉3123⪃↞⩐)∩⋅)⪨≂(≴∭⊉10111⪨≂≴∭⊉5520⫚↹⊑≴∭⊉21561⨟⋌⩍≴∭⊉14164))","cot":[{"info":"≴∭⊉4064⊬⨰≴∭⊉3452=≴∭⊉21526","layer":3},{"info":"≴∭⊉21526⨲=≴∭⊉32564501362","layer":2},{"info":"≛≴∭⊉21301=≴∭⊉-13","layer":3},{"info":"≴∭⊉16101⨔⇊≴∭⊉3310=≴∭⊉3310","layer":3},{"info":"≴∭⊉-13⪒⊣⊆≴∭⊉3310=≴∭⊉10153","layer":2},{"info":"≴∭⊉32564501362≒∊≴∭⊉10153=≴∭⊉-32564500101","layer":1},{"info":"≴∭⊉3123⪃↞⩐=≴∭⊉26022","layer":3},{"info":"≴∭⊉26022∩⋅=≴∭⊉-25460","layer":2},{"info":"≴∭⊉10111⪨≂≴∭⊉5520=≴∭⊉3056","layer":3},{"info":"≴∭⊉21561⨟⋌⩍≴∭⊉14164=NaN","layer":3},{"info":"≴∭⊉3056⫚↹⊑NaN=≴∭⊉-1206","layer":2},{"info":"≴∭⊉-25460⪨≂≴∭⊉-1206=≴∭⊉-51325","layer":1},{"info":"≴∭⊉-32564500101⨑≵⋬≴∭⊉-51325=-Inf","layer":0}]}
+{"id":918,"expression_no_base_symbol":"($1869$≁↽≥$8087$∇⊂⋱(⊑$6636$)⨹)⇡⇂(($6099$⊨$6201$≃($3102$⊴⇁⪶))∋($1014$≠≀$2578$≧⫂∧(∂$3863$)))","expression":"(≴∭⊉5310≁↽≥≴∭⊉32402∇⊂⋱(⊑≴∭⊉25230)⨹)⇡⇂((≴∭⊉23532⊨≴∭⊉24036≃(≴∭⊉12021⊴⇁⪶))∋(≴∭⊉2646≠≀≴∭⊉10342≧⫂∧(∂≴∭⊉14156)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2310683,"operation_count":12,"complexity_ratio":192556.91666666666,"tree":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"unary","operator":"⨹","unary_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":1869,"base":7},"right_expr":{"type":"numeric_atoms","value":8087,"base":7}},"right_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"numeric_atoms","value":6636,"base":7}}}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":6099,"base":7},"right_expr":{"type":"numeric_atoms","value":6201,"base":7}},"right_expr":{"type":"unary","operator":"⊴⇁⪶","unary_expr":{"type":"numeric_atoms","value":3102,"base":7}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":1014,"base":7},"right_expr":{"type":"numeric_atoms","value":2578,"base":7}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":3863,"base":7}}}}},"used_operators":["UMwdvZNt44","UnCoSGIALn","nhYeJWJD5X","ncHt1X6cMc","IkUmn0D7oy","ukq6epAj5P","YbVcJGFEVW","vg4gO5BX6G","oo9mF6JIpo","Ph9nP6C5qx","IwW236VD4Y","Uaa54Peajs"],"dependent_operators":["9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","mp7IySMOzn","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","oWn0xqSxBt","3Oe9XWJUTD","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","L05ObWFQCd","oacrs7FA3X","2Wsdkap16l","zR4jO40bMj","HrjLwUk87U","YSKBFp38Pu","cHh1gJQ2o6","tmPS8pqC7x","YbVcJGFEVW","12rbrZMWeM","DmTXOeWf9t","RhiyfpczSx","uOZ1tnYMDE","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1869","layer":4},{"info":"number node, value=8087","layer":4},{"info":"compute binary expreesion, left_input=1869, right_input=8087, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=37967","layer":3},{"info":"number node, value=6636","layer":4},{"info":"compute unary expreesion, input=6636, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":3},{"info":"compute binary expreesion, left_input=37967, right_input=192, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=75388","layer":2},{"info":"compute unary expreesion, input=75388, op_id = UnCoSGIALn, unary_op_definition = 'a⨹ = { (229⇷a) }', output=150776","layer":1},{"info":"number node, value=6099","layer":4},{"info":"number node, value=6201","layer":4},{"info":"compute binary expreesion, left_input=6099, right_input=6201, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=25427","layer":3},{"info":"number node, value=3102","layer":4},{"info":"compute unary expreesion, input=3102, op_id = oo9mF6JIpo, unary_op_definition = 'a⊴⇁⪶ = { (⊗((157⇤a)⋳⪒(a⨪↰⇹a))) , if ((a⪶≀⋏180)>=510 or (a⩘665)!=249) ; (((a⪍↜⋙a)≃(a⪚343))⪘⫢((a⩹a)⊲⩕⊾(⩏⊷≩a))) , else }', output=60566","layer":3},{"info":"compute binary expreesion, left_input=25427, right_input=60566, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-101748","layer":2},{"info":"number node, value=1014","layer":4},{"info":"number node, value=2578","layer":4},{"info":"compute binary expreesion, left_input=1014, right_input=2578, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-1722","layer":3},{"info":"number node, value=3863","layer":4},{"info":"compute unary expreesion, input=3863, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1722, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-101748, right_input=nan, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=352368","layer":1},{"info":"compute binary expreesion, left_input=150776, right_input=352368, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉5310≁↽≥≴∭⊉32402∇⊂⋱(⊑≴∭⊉25230)⨹)⇡⇂((≴∭⊉23532⊨≴∭⊉24036≃(≴∭⊉12021⊴⇁⪶))∋(≴∭⊉2646≠≀≴∭⊉10342≧⫂∧(∂≴∭⊉14156)))=NaN","reverse_text":"NaN=(≴∭⊉5310≁↽≥≴∭⊉32402∇⊂⋱(⊑≴∭⊉25230)⨹)⇡⇂((≴∭⊉23532⊨≴∭⊉24036≃(≴∭⊉12021⊴⇁⪶))∋(≴∭⊉2646≠≀≴∭⊉10342≧⫂∧(∂≴∭⊉14156)))","cot":[{"info":"≴∭⊉5310≁↽≥≴∭⊉32402=≴∭⊉215456","layer":3},{"info":"⊑≴∭⊉25230=≴∭⊉363","layer":3},{"info":"≴∭⊉215456∇⊂⋱≴∭⊉363=≴∭⊉432535","layer":2},{"info":"≴∭⊉432535⨹=≴∭⊉1165403","layer":1},{"info":"≴∭⊉23532⊨≴∭⊉24036=≴∭⊉134063","layer":3},{"info":"≴∭⊉12021⊴⇁⪶=≴∭⊉341402","layer":3},{"info":"≴∭⊉134063≃≴∭⊉341402=≴∭⊉-602433","layer":2},{"info":"≴∭⊉2646≠≀≴∭⊉10342=≴∭⊉-5010","layer":3},{"info":"∂≴∭⊉14156=NaN","layer":3},{"info":"≴∭⊉-5010≧⫂∧NaN=NaN","layer":2},{"info":"≴∭⊉-602433∋NaN=≴∭⊉2665212","layer":1},{"info":"≴∭⊉1165403⇡⇂≴∭⊉2665212=NaN","layer":0}]}
+{"id":919,"expression_no_base_symbol":"((($3087$⊋$7810$)⨼⩣$3123$⇻⋧≁$1033$)↓($6361$⪔⊥$3741$)↹⊜($3594$⇴$3119$))↳≱(($4695$⫸⇳$4134$∽(≤/$2215$))⪍↜⋙($2842$⊲⩕⊾$2720$)⫗⊷⫓($9256$≎⪠$5889$))","expression":"(((≴∭⊉12000⊋≴∭⊉31525)⨼⩣≴∭⊉12051⇻⋧≁≴∭⊉3004)↓(≴∭⊉24355⪔⊥≴∭⊉13623)↹⊜(≴∭⊉13323⇴≴∭⊉12044))↳≱((≴∭⊉16455⫸⇳≴∭⊉15024∽(≤/≴∭⊉6313))⪍↜⋙(≴∭⊉11200⊲⩕⊾≴∭⊉10634)⫗⊷⫓(≴∭⊉35662≎⪠≴∭⊉23112))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":2159405,"operation_count":15,"complexity_ratio":143960.33333333334,"tree":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":3087,"base":7},"right_expr":{"type":"numeric_atoms","value":7810,"base":7}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":3123,"base":7},"right_expr":{"type":"numeric_atoms","value":1033,"base":7}}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":6361,"base":7},"right_expr":{"type":"numeric_atoms","value":3741,"base":7}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":3594,"base":7},"right_expr":{"type":"numeric_atoms","value":3119,"base":7}}}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":4695,"base":7},"right_expr":{"type":"numeric_atoms","value":4134,"base":7}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":2215,"base":7}}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":2842,"base":7},"right_expr":{"type":"numeric_atoms","value":2720,"base":7}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":9256,"base":7},"right_expr":{"type":"numeric_atoms","value":5889,"base":7}}}}},"used_operators":["JwTKLfZU96","Af076pWI7l","JxwMv5le6e","W4tP9CfskL","jCPkEVoL5K","9bazX3JMtO","HJ9erzHUuu","4JB6nKBMSY","L05ObWFQCd","y4ImoPnbV5","gx7XJ7hdpj","eLAdDNolq6","zashukvMKz","DmTXOeWf9t","aNhz54LH3e"],"dependent_operators":["DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","sdazOOVcIp","NTOWxs364D","COABgblf1C","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","NTOWxs364D","QMFrweE19q","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","rysDP5nf3Z","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3087","layer":4},{"info":"number node, value=7810","layer":4},{"info":"compute binary expreesion, left_input=3087, right_input=7810, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=-289639824","layer":3},{"info":"number node, value=3123","layer":4},{"info":"number node, value=1033","layer":4},{"info":"compute binary expreesion, left_input=3123, right_input=1033, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=-289639824, right_input=-447, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":2},{"info":"number node, value=6361","layer":4},{"info":"number node, value=3741","layer":4},{"info":"compute binary expreesion, left_input=6361, right_input=3741, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=17763","layer":3},{"info":"number node, value=3594","layer":4},{"info":"number node, value=3119","layer":4},{"info":"compute binary expreesion, left_input=3594, right_input=3119, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=27416","layer":3},{"info":"compute binary expreesion, left_input=17763, right_input=27416, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-74234","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-74234, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":1},{"info":"number node, value=4695","layer":4},{"info":"number node, value=4134","layer":4},{"info":"compute binary expreesion, left_input=4695, right_input=4134, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"number node, value=2215","layer":4},{"info":"compute unary expreesion, input=2215, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1731","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-1731, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=5371","layer":2},{"info":"number node, value=2842","layer":4},{"info":"number node, value=2720","layer":4},{"info":"compute binary expreesion, left_input=2842, right_input=2720, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-69302","layer":3},{"info":"number node, value=9256","layer":4},{"info":"number node, value=5889","layer":4},{"info":"compute binary expreesion, left_input=9256, right_input=5889, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"compute binary expreesion, left_input=-69302, right_input=19558, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":2},{"info":"compute binary expreesion, left_input=5371, right_input=-134, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=11010","layer":1},{"info":"compute binary expreesion, left_input=-134, right_input=11010, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":0}],"base":7,"result_base":7,"text":"(((≴∭⊉12000⊋≴∭⊉31525)⨼⩣≴∭⊉12051⇻⋧≁≴∭⊉3004)↓(≴∭⊉24355⪔⊥≴∭⊉13623)↹⊜(≴∭⊉13323⇴≴∭⊉12044))↳≱((≴∭⊉16455⫸⇳≴∭⊉15024∽(≤/≴∭⊉6313))⪍↜⋙(≴∭⊉11200⊲⩕⊾≴∭⊉10634)⫗⊷⫓(≴∭⊉35662≎⪠≴∭⊉23112))=≴∭⊉0","reverse_text":"≴∭⊉0=(((≴∭⊉12000⊋≴∭⊉31525)⨼⩣≴∭⊉12051⇻⋧≁≴∭⊉3004)↓(≴∭⊉24355⪔⊥≴∭⊉13623)↹⊜(≴∭⊉13323⇴≴∭⊉12044))↳≱((≴∭⊉16455⫸⇳≴∭⊉15024∽(≤/≴∭⊉6313))⪍↜⋙(≴∭⊉11200⊲⩕⊾≴∭⊉10634)⫗⊷⫓(≴∭⊉35662≎⪠≴∭⊉23112))","cot":[{"info":"≴∭⊉12000⊋≴∭⊉31525=≴∭⊉-10114616655","layer":3},{"info":"≴∭⊉12051⇻⋧≁≴∭⊉3004=≴∭⊉-1206","layer":3},{"info":"≴∭⊉-10114616655⨼⩣≴∭⊉-1206=NaN","layer":2},{"info":"≴∭⊉24355⪔⊥≴∭⊉13623=≴∭⊉102534","layer":3},{"info":"≴∭⊉13323⇴≴∭⊉12044=≴∭⊉142634","layer":3},{"info":"≴∭⊉102534↹⊜≴∭⊉142634=≴∭⊉-426266","layer":2},{"info":"NaN↓≴∭⊉-426266=≴∭⊉-251","layer":1},{"info":"≴∭⊉16455⫸⇳≴∭⊉15024=≴∭⊉0","layer":3},{"info":"≤/≴∭⊉6313=≴∭⊉-5022","layer":3},{"info":"≴∭⊉0∽≴∭⊉-5022=≴∭⊉21442","layer":2},{"info":"≴∭⊉11200⊲⩕⊾≴∭⊉10634=≴∭⊉-406022","layer":3},{"info":"≴∭⊉35662≎⪠≴∭⊉23112=≴∭⊉111010","layer":3},{"info":"≴∭⊉-406022⫗⊷⫓≴∭⊉111010=≴∭⊉-251","layer":2},{"info":"≴∭⊉21442⪍↜⋙≴∭⊉-251=≴∭⊉44046","layer":1},{"info":"≴∭⊉-251↳≱≴∭⊉44046=≴∭⊉0","layer":0}]}
+{"id":920,"expression_no_base_symbol":"((⩷($5082$+$2197$))⪨⊡($3703$≎⊠⪸$1729$∕⩚$2001$≎⊠⪸$4602$))⨚(⫶⊄≣(($2214$∟)⫸⇳($1238$+$3685$)))","expression":"((⩷(≴∭⊉20550+≴∭⊉6256))⪨⊡(≴∭⊉13540≎⊠⪸≴∭⊉5020∕⩚≴∭⊉5556≎⊠⪸≴∭⊉16263))���(⫶⊄≣((≴∭⊉6312∟)⫸⇳(≴∭⊉3416+≴∭⊉13513)))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":959301,"operation_count":11,"complexity_ratio":87209.18181818182,"tree":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":5082,"base":7},"right_expr":{"type":"numeric_atoms","value":2197,"base":7}}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3703,"base":7},"right_expr":{"type":"numeric_atoms","value":1729,"base":7}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2001,"base":7},"right_expr":{"type":"numeric_atoms","value":4602,"base":7}}}},"right_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"unary","operator":"∟","unary_expr":{"type":"numeric_atoms","value":2214,"base":7}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1238,"base":7},"right_expr":{"type":"numeric_atoms","value":3685,"base":7}}}}},"used_operators":["nREPSIbpBE","kuIXHzHcAH","1h0rLqGiFr","W4YGzv6Whe","z9ffQ9n5Zr","bJkvcejdHO","wxb3vTeyAj","gx7XJ7hdpj","hTbEZDJLEm"],"dependent_operators":["BjRHVeLaeN","12rbrZMWeM","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","KPf6cnQVty","zVYPLywUTj","AFVx7xoS7T"],"result":"≴∭⊉122160145","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5082","layer":4},{"info":"number node, value=2197","layer":4},{"info":"compute binary expreesion, left_input=5082, right_input=2197, op_id = W4YGzv6Whe binary_op_definition= 'None', output=7279","layer":3},{"info":"compute unary expreesion, input=7279, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-87427","layer":2},{"info":"number node, value=3703","layer":4},{"info":"number node, value=1729","layer":4},{"info":"compute binary expreesion, left_input=3703, right_input=1729, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=958604","layer":3},{"info":"number node, value=2001","layer":4},{"info":"number node, value=4602","layer":4},{"info":"compute binary expreesion, left_input=2001, right_input=4602, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=517786","layer":3},{"info":"compute binary expreesion, left_input=958604, right_input=517786, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-958607","layer":2},{"info":"compute binary expreesion, left_input=-87427, right_input=-958607, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=3835217","layer":1},{"info":"number node, value=2214","layer":4},{"info":"compute unary expreesion, input=2214, op_id = hTbEZDJLEm, unary_op_definition = 'a∟ = { ((58∺≝⩲a)⇌⫙⪟(a⊪)) }', output=113","layer":3},{"info":"number node, value=1238","layer":4},{"info":"number node, value=3685","layer":4},{"info":"compute binary expreesion, left_input=1238, right_input=3685, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4923","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=4923, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=-1778","layer":1},{"info":"compute binary expreesion, left_input=3835217, right_input=-1778, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=7678480","layer":0}],"base":7,"result_base":7,"text":"((⩷(≴∭⊉20550+≴∭⊉6256))⪨⊡(≴∭⊉13540≎⊠⪸≴∭⊉5020∕⩚≴∭⊉5556≎⊠⪸≴∭⊉16263))⨚(⫶⊄≣((≴∭⊉6312∟)⫸⇳(≴∭⊉3416+≴∭⊉13513)))=≴∭⊉122160145","reverse_text":"≴∭⊉122160145=((⩷(≴∭⊉20550+≴∭⊉6256))⪨⊡(≴∭⊉13540≎⊠⪸≴∭⊉5020∕⩚≴∭⊉5556≎⊠⪸≴∭⊉16263))⨚(⫶⊄≣((≴∭⊉6312∟)⫸⇳(≴∭⊉3416+≴∭⊉13513)))","cot":[{"info":"≴∭⊉20550+≴∭⊉6256=≴∭⊉30136","layer":3},{"info":"⩷≴∭⊉30136=≴∭⊉-512614","layer":2},{"info":"≴∭⊉13540≎⊠⪸≴∭⊉5020=≴∭⊉11101523","layer":3},{"info":"≴∭⊉5556≎⊠⪸≴∭⊉16263=≴∭⊉4254403","layer":3},{"info":"≴∭⊉11101523∕⩚≴∭⊉4254403=≴∭⊉-11101526","layer":2},{"info":"≴∭⊉-512614⪨⊡≴∭⊉-11101526=≴∭⊉44412251","layer":1},{"info":"≴∭⊉6312∟=≴∭⊉221","layer":3},{"info":"≴∭⊉3416+≴∭⊉13513=≴∭⊉20232","layer":3},{"info":"≴∭⊉221⫸⇳≴∭⊉20232=≴∭⊉0","layer":2},{"info":"⫶⊄≣≴∭⊉0=≴∭⊉-5120","layer":1},{"info":"≴∭⊉44412251⨚≴∭⊉-5120=≴∭⊉122160145","layer":0}]}
+{"id":921,"expression_no_base_symbol":"(($1704$⩦$4928$⋐⇩⊬)⫔⩽⩺(⪓⩚(∮$2287$)))⩇∃⫛($4332$⇴$4011$)⋛($2391$⩒⫫$2509$)⨚⇆(≪$1433$)⇡⇂($7423$≎⊠⪸$3372$)","expression":"((≴∭⊉4653⩦≴∭⊉20240⋐⇩⊬)⫔⩽⩺(⪓⩚(∮≴∭⊉6445)))⩇∃⫛(≴∭⊉15426⇴≴∭⊉14460)⋛(≴∭⊉6654⩒⫫≴∭⊉10213)⨚⇆(≪≴∭⊉4115)⇡⇂(≴∭⊉30433≎⊠⪸≴∭⊉12555)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":6066957,"operation_count":13,"complexity_ratio":466689.0,"tree":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"unary","operator":"⋐⇩⊬","unary_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":1704,"base":7},"right_expr":{"type":"numeric_atoms","value":4928,"base":7}}},"right_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"numeric_atoms","value":2287,"base":7}}}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":4332,"base":7},"right_expr":{"type":"numeric_atoms","value":4011,"base":7}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":2391,"base":7},"right_expr":{"type":"numeric_atoms","value":2509,"base":7}}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"numeric_atoms","value":1433,"base":7}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":7423,"base":7},"right_expr":{"type":"numeric_atoms","value":3372,"base":7}}}}},"used_operators":["1aApVXNlOP","i9eR4S00cU","JuuLT1NoCs","0kmYd0q39Y","u0R0Locfp2","CqXKPLVYql","lwHaAYXP2r","YbUVn0Rbpy","4JB6nKBMSY","KFSx94NKJn","UMwdvZNt44","Qtd6bqUJcN","bJkvcejdHO"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","Tw270M8GLb","fu6greOZ01","mp7IySMOzn","JclMnS0uGI","ddLRYrp01A","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","sdazOOVcIp","NTOWxs364D","COABgblf1C","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1704","layer":4},{"info":"number node, value=4928","layer":4},{"info":"compute binary expreesion, left_input=1704, right_input=4928, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=3408","layer":3},{"info":"compute unary expreesion, input=3408, op_id = JuuLT1NoCs, unary_op_definition = 'a⋐⇩⊬ = { (a⨔⇊a) , if (a∊∟⩊189)<=582 ; (a⇷a) , else }', output=3408","layer":2},{"info":"number node, value=2287","layer":4},{"info":"compute unary expreesion, input=2287, op_id = CqXKPLVYql, unary_op_definition = '∮a = { ((a⩹a)⨰(⫓⪴488)) , if (a<=186 and a<741 and (a⨱∎)<232) ; ((a≎⊠⪸a)⨔⇊(973∠↢a)) , else }', output=67","layer":3},{"info":"compute unary expreesion, input=67, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":2},{"info":"compute binary expreesion, left_input=3408, right_input=426, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":1},{"info":"number node, value=4332","layer":4},{"info":"number node, value=4011","layer":4},{"info":"compute binary expreesion, left_input=4332, right_input=4011, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=33628","layer":3},{"info":"number node, value=2391","layer":4},{"info":"number node, value=2509","layer":4},{"info":"compute binary expreesion, left_input=2391, right_input=2509, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=2089","layer":3},{"info":"compute binary expreesion, left_input=33628, right_input=2089, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=170460","layer":2},{"info":"number node, value=1433","layer":4},{"info":"compute unary expreesion, input=1433, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":3},{"info":"number node, value=7423","layer":4},{"info":"number node, value=3372","layer":4},{"info":"compute binary expreesion, left_input=7423, right_input=3372, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1922084","layer":3},{"info":"compute binary expreesion, left_input=913, right_input=1922084, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=-916","layer":2},{"info":"compute binary expreesion, left_input=170460, right_input=-916, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉4653⩦≴∭⊉20240⋐⇩⊬)⫔⩽⩺(⪓⩚(∮≴∭⊉6445)))⩇∃⫛(≴∭⊉15426⇴≴∭⊉14460)⋛(≴∭⊉6654⩒⫫≴∭⊉10213)⨚⇆(≪≴∭⊉4115)⇡⇂(≴∭⊉30433≎⊠⪸≴∭⊉12555)=NaN","reverse_text":"NaN=((≴∭⊉4653⩦≴∭⊉20240⋐⇩⊬)⫔⩽⩺(⪓⩚(∮≴∭⊉6445)))⩇∃⫛(≴∭⊉15426⇴≴∭⊉14460)⋛(≴∭⊉6654⩒⫫≴∭⊉10213)⨚⇆(≪≴∭⊉4115)⇡⇂(≴∭⊉30433≎⊠⪸≴∭⊉12555)","cot":[{"info":"≴∭⊉4653⩦≴∭⊉20240=≴∭⊉12636","layer":3},{"info":"≴∭⊉12636⋐⇩⊬=≴∭⊉12636","layer":2},{"info":"∮≴∭⊉6445=≴∭⊉124","layer":3},{"info":"⪓⩚≴∭⊉124=≴∭⊉1146","layer":2},{"info":"≴∭⊉12636⫔⩽⩺≴∭⊉1146=NaN","layer":1},{"info":"≴∭⊉15426⇴≴∭⊉14460=≴∭⊉200020","layer":3},{"info":"≴∭⊉6654⩒⫫≴∭⊉10213=≴∭⊉6043","layer":3},{"info":"≴∭⊉200020⋛≴∭⊉6043=≴∭⊉1306653","layer":2},{"info":"≪≴∭⊉4115=≴∭⊉2443","layer":3},{"info":"≴∭⊉30433≎⊠⪸≴∭⊉12555=≴∭⊉22223513","layer":3},{"info":"≴∭⊉2443⇡⇂≴∭⊉22223513=≴∭⊉-2446","layer":2},{"info":"≴∭⊉1306653⨚⇆≴∭⊉-2446=NaN","layer":1},{"info":"NaN⩇∃⫛NaN=NaN","layer":0}]}
+{"id":922,"expression_no_base_symbol":"(($5645$⨰$1548$)≄⊠($2872$⫩)⩵∡(⪭⩑⪱(⪝⪂⫅$3027$)))⊲⩕⊾(⋎⨆($6242$⫒⫫$1075$)→⨶⪴($7096$∷$1417$))","expression":"((≴∭⊉22313⨰≴∭⊉4341)≄⊠(≴∭⊉11242⫩)⩵∡(⪭⩑⪱(⪝⪂⫅≴∭⊉11553)))⊲⩕⊾(⋎⨆(≴∭⊉24125⫒⫫≴∭⊉3064)→⨶⪴(≴∭⊉26455∷≴∭⊉4063))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":24959609,"operation_count":11,"complexity_ratio":2269055.3636363638,"tree":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":5645,"base":7},"right_expr":{"type":"numeric_atoms","value":1548,"base":7}},"right_expr":{"type":"unary","operator":"⫩","unary_expr":{"type":"numeric_atoms","value":2872,"base":7}}},"right_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":3027,"base":7}}}},"right_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":6242,"base":7},"right_expr":{"type":"numeric_atoms","value":1075,"base":7}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":7096,"base":7},"right_expr":{"type":"numeric_atoms","value":1417,"base":7}}}}},"used_operators":["DmTXOeWf9t","Y7wcNGrDQJ","vXNesLlMH1","eewbuw0ToL","6aG7x05OhS","SIgE0bArFf","XTarYq4gQB","E64sFOc4tB","bF6eod5Gvf","6Ko8hGgeMq","D3AQDKkPcf"],"dependent_operators":["23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","NTOWxs364D","glklzrTFfD","tifHPKVTfV","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","9HNa5Wba9A","8w2t5hMYqp","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","8w2t5hMYqp","9FxExcQeMw","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","9FxExcQeMw","NTOWxs364D","7j4O788W3g"],"result":"≴∭⊉-5234255101","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5645","layer":4},{"info":"number node, value=1548","layer":4},{"info":"compute binary expreesion, left_input=5645, right_input=1548, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=4107","layer":3},{"info":"number node, value=2872","layer":4},{"info":"compute unary expreesion, input=2872, op_id = 6aG7x05OhS, unary_op_definition = 'a⫩ = { (a⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=4107, right_input=nan, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":2},{"info":"number node, value=3027","layer":4},{"info":"compute unary expreesion, input=3027, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-444969","layer":3},{"info":"compute unary expreesion, input=-444969, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":2},{"info":"compute binary expreesion, left_input=1500, right_input=8320752, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=8317631","layer":1},{"info":"number node, value=6242","layer":4},{"info":"number node, value=1075","layer":4},{"info":"compute binary expreesion, left_input=6242, right_input=1075, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"number node, value=7096","layer":4},{"info":"number node, value=1417","layer":4},{"info":"compute binary expreesion, left_input=7096, right_input=1417, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=1417","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1417, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-4251","layer":2},{"info":"compute unary expreesion, input=-4251, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=8320752","layer":1},{"info":"compute binary expreesion, left_input=8317631, right_input=8320752, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-216286246","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉22313⨰≴∭⊉4341)≄⊠(≴∭⊉11242⫩)⩵∡(⪭⩑⪱(⪝⪂⫅≴∭⊉11553)))⊲⩕⊾(⋎⨆(≴∭⊉24125⫒⫫≴∭⊉3064)→⨶⪴(≴∭⊉26455∷≴∭⊉4063))=≴∭⊉-5234255101","reverse_text":"≴∭⊉-5234255101=((≴∭⊉22313⨰≴∭⊉4341)≄⊠(≴∭⊉11242⫩)⩵∡(⪭⩑⪱(⪝⪂⫅≴∭⊉11553)))⊲⩕⊾(⋎⨆(≴∭⊉24125⫒⫫≴∭⊉3064)→⨶⪴(≴∭⊉26455∷≴∭⊉4063))","cot":[{"info":"≴∭⊉22313⨰≴∭⊉4341=≴∭⊉14655","layer":3},{"info":"≴∭⊉11242⫩=NaN","layer":3},{"info":"≴∭⊉14655≄⊠NaN=≴∭⊉4242","layer":2},{"info":"⪝⪂⫅≴∭⊉11553=≴∭⊉-3532200","layer":3},{"info":"⪭⩑⪱≴∭⊉-3532200=≴∭⊉130503516","layer":2},{"info":"≴∭⊉4242⩵∡≴∭⊉130503516=≴∭⊉130461440","layer":1},{"info":"≴∭⊉24125⫒⫫≴∭⊉3064=NaN","layer":3},{"info":"≴∭⊉26455∷≴∭⊉4063=≴∭⊉4063","layer":3},{"info":"NaN→⨶⪴≴∭⊉4063=≴∭⊉-15252","layer":2},{"info":"⋎⨆≴∭⊉-15252=≴∭⊉130503516","layer":1},{"info":"≴∭⊉130461440⊲⩕⊾≴∭⊉130503516=≴∭⊉-5234255101","layer":0}]}
+{"id":923,"expression_no_base_symbol":"($4968$⩣⫁∢$1040$⫢⨠$3230$⪘⫢$1557$∲⫓($3041$⋳⪒$4469$)⇴∐($7745$⩚⊴⇥$6192$))⊴((($2430$↓⨍⋜)⋻⩜⩜$1036$⇣⩺⋵$5914$)⪉⨛($2875$⊨$4371$)⪡($1406$∽$2628$))","expression":"(≴∭⊉20325⩣⫁∢≴∭⊉3014⫢⨠≴∭⊉12263⪘⫢≴∭⊉4353∲⫓(≴∭⊉11603⋳⪒≴∭⊉16013)⇴∐(≴∭⊉31403⩚⊴⇥≴∭⊉24024))⊴(((≴∭⊉10041↓⨍⋜)⋻⩜⩜≴∭⊉3010⇣⩺⋵≴∭⊉23146)⪉⨛(≴∭⊉11245⊨≴∭⊉15513)⪡(≴∭⊉4046∽≴∭⊉10443))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":161591,"operation_count":15,"complexity_ratio":10772.733333333334,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":4968,"base":7},"right_expr":{"type":"numeric_atoms","value":1040,"base":7}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3230,"base":7},"right_expr":{"type":"numeric_atoms","value":1557,"base":7}}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3041,"base":7},"right_expr":{"type":"numeric_atoms","value":4469,"base":7}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":7745,"base":7},"right_expr":{"type":"numeric_atoms","value":6192,"base":7}}}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"unary","operator":"↓⨍⋜","unary_expr":{"type":"numeric_atoms","value":2430,"base":7}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":1036,"base":7},"right_expr":{"type":"numeric_atoms","value":5914,"base":7}}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":2875,"base":7},"right_expr":{"type":"numeric_atoms","value":4371,"base":7}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":1406,"base":7},"right_expr":{"type":"numeric_atoms","value":2628,"base":7}}}}},"used_operators":["Nsiff2A1zJ","i8ToyICDmI","xlXykHWxX1","JDUIKTTSIa","oacrs7FA3X","HnzytWxmAO","12rbrZMWeM","NTOWxs364D","EWw2JM7wp4","oDCm7WA9JY","3DVzLFNsE9","F4yD0voBRQ","oraRL2iQuh","vg4gO5BX6G","y4ImoPnbV5"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","OKKcZfAt5B","zR4jO40bMj","XnXgA4xnOs","o20kRiQErp","7t3wd0Fuz7","Z5m6OM72h2","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","NTOWxs364D","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4968","layer":4},{"info":"number node, value=1040","layer":4},{"info":"compute binary expreesion, left_input=4968, right_input=1040, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-9775","layer":3},{"info":"number node, value=3230","layer":4},{"info":"number node, value=1557","layer":4},{"info":"compute binary expreesion, left_input=3230, right_input=1557, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=6336","layer":3},{"info":"compute binary expreesion, left_input=-9775, right_input=6336, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=26242","layer":2},{"info":"number node, value=3041","layer":4},{"info":"number node, value=4469","layer":4},{"info":"compute binary expreesion, left_input=3041, right_input=4469, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1326","layer":3},{"info":"number node, value=7745","layer":4},{"info":"number node, value=6192","layer":4},{"info":"compute binary expreesion, left_input=7745, right_input=6192, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-14058","layer":3},{"info":"compute binary expreesion, left_input=1326, right_input=-14058, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=26242, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":1},{"info":"number node, value=2430","layer":4},{"info":"compute unary expreesion, input=2430, op_id = 3DVzLFNsE9, unary_op_definition = 'a↓⨍⋜ = { (((a≝⊿a)⪶≀⋏(a∸))⨑≵⋬((a⋥⋵⩄a)∘(a⪶≀⋏a))) }', output=6590","layer":3},{"info":"number node, value=1036","layer":4},{"info":"number node, value=5914","layer":4},{"info":"compute binary expreesion, left_input=1036, right_input=5914, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-7622","layer":3},{"info":"compute binary expreesion, left_input=6590, right_input=-7622, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=13180","layer":2},{"info":"number node, value=2875","layer":4},{"info":"number node, value=4371","layer":4},{"info":"compute binary expreesion, left_input=2875, right_input=4371, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=12531","layer":3},{"info":"number node, value=1406","layer":4},{"info":"number node, value=2628","layer":4},{"info":"compute binary expreesion, left_input=1406, right_input=2628, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-14736","layer":3},{"info":"compute binary expreesion, left_input=12531, right_input=-14736, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=-14631","layer":2},{"info":"compute binary expreesion, left_input=13180, right_input=-14631, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=54386","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=54386, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉20325⩣⫁∢≴∭⊉3014⫢⨠≴∭⊉12263⪘⫢≴∭⊉4353∲⫓(≴∭⊉11603⋳⪒≴∭⊉16013)⇴∐(≴∭⊉31403⩚⊴⇥≴∭⊉24024))⊴(((≴∭⊉10041↓⨍⋜)⋻⩜⩜≴∭⊉3010⇣⩺⋵≴∭⊉23146)⪉⨛(≴∭⊉11245⊨≴∭⊉15513)⪡(≴∭⊉4046∽≴∭⊉10443))=NaN","reverse_text":"NaN=(≴∭⊉20325⩣⫁∢≴∭⊉3014⫢⨠≴∭⊉12263⪘⫢≴∭⊉4353∲⫓(≴∭⊉11603⋳⪒≴∭⊉16013)⇴∐(≴∭⊉31403⩚⊴⇥≴∭⊉24024))⊴(((≴∭⊉10041↓⨍⋜)⋻⩜⩜≴∭⊉3010⇣⩺⋵≴∭⊉23146)⪉⨛(≴∭⊉11245⊨≴∭⊉15513)⪡(≴∭⊉4046∽≴∭⊉10443))","cot":[{"info":"≴∭⊉20325⩣⫁∢≴∭⊉3014=≴∭⊉-40333","layer":3},{"info":"≴∭⊉12263⪘⫢≴∭⊉4353=≴∭⊉24321","layer":3},{"info":"≴∭⊉-40333⫢⨠≴∭⊉24321=≴∭⊉136336","layer":2},{"info":"≴∭⊉11603⋳⪒≴∭⊉16013=≴∭⊉3603","layer":3},{"info":"≴∭⊉31403⩚⊴⇥≴∭⊉24024=≴∭⊉-55662","layer":3},{"info":"≴∭⊉3603⇴∐≴∭⊉-55662=NaN","layer":2},{"info":"≴∭⊉136336∲⫓NaN=NaN","layer":1},{"info":"≴∭⊉10041↓⨍⋜=≴∭⊉25133","layer":3},{"info":"≴∭⊉3010⇣⩺⋵≴∭⊉23146=≴∭⊉-31136","layer":3},{"info":"≴∭⊉25133⋻⩜⩜≴∭⊉-31136=≴∭⊉53266","layer":2},{"info":"≴∭⊉11245⊨≴∭⊉15513=≴∭⊉51351","layer":3},{"info":"≴∭⊉4046∽≴∭⊉10443=≴∭⊉-60651","layer":3},{"info":"≴∭⊉51351⪡≴∭⊉-60651=≴∭⊉-60441","layer":2},{"info":"≴∭⊉53266⪉⨛≴∭⊉-60441=≴∭⊉314363","layer":1},{"info":"NaN⊴≴∭⊉314363=NaN","layer":0}]}
+{"id":924,"expression_no_base_symbol":"((⪲⇎$1750$)∇⊂⋱($3898$→⨶⪴$3995$)↫)∌(⋎⨆(⨈⪑$1339$)∴(⪓⩚$1525$))","expression":"((⪲⇎≴∭⊉5050)∇⊂⋱(≴∭⊉14236→⨶⪴≴∭⊉14435)↫)∌(⋎⨆(⨈⪑≴∭⊉3622)∴(⪓⩚≴∭⊉4306))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3502,"operation_count":9,"complexity_ratio":389.1111111111111,"tree":{"type":"binary","operator":"∌","left_expr":{"type":"unary","operator":"↫","unary_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1750,"base":7}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":3898,"base":7},"right_expr":{"type":"numeric_atoms","value":3995,"base":7}}}},"right_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"binary","operator":"∴","left_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"numeric_atoms","value":1339,"base":7}},"right_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"numeric_atoms","value":1525,"base":7}}}}},"used_operators":["8cLx32lpNA","uPb5QRN0te","nhYeJWJD5X","XPYlsWDdGa","bF6eod5Gvf","E64sFOc4tB","hrf7POJlIJ","mp94q5OcYM","u0R0Locfp2"],"dependent_operators":["N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","i8ToyICDmI","2DQ55sFlQl","t8gj7n24qd","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","9FxExcQeMw","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1750","layer":4},{"info":"compute unary expreesion, input=1750, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=3500","layer":3},{"info":"number node, value=3898","layer":4},{"info":"number node, value=3995","layer":4},{"info":"compute binary expreesion, left_input=3898, right_input=3995, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-11985","layer":3},{"info":"compute binary expreesion, left_input=3500, right_input=-11985, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=6454","layer":2},{"info":"compute unary expreesion, input=6454, op_id = uPb5QRN0te, unary_op_definition = 'a↫ = { (a∲⫓a) , if (-a)>=333 ; (a⨵⪆a) , else }', output=160","layer":1},{"info":"number node, value=1339","layer":4},{"info":"compute unary expreesion, input=1339, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":3},{"info":"number node, value=1525","layer":4},{"info":"compute unary expreesion, input=1525, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=426, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=3384","layer":2},{"info":"compute unary expreesion, input=3384, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=0, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=0","layer":0}],"base":7,"result_base":7,"text":"((⪲⇎≴∭⊉5050)∇⊂⋱(≴∭⊉14236→⨶⪴≴∭⊉14435)↫)∌(⋎⨆(⨈⪑≴∭⊉3622)∴(⪓⩚≴∭⊉4306))=≴∭⊉0","reverse_text":"≴∭⊉0=((⪲⇎≴∭⊉5050)∇⊂⋱(≴∭⊉14236→⨶⪴≴∭⊉14435)↫)∌(⋎⨆(⨈⪑≴∭⊉3622)∴(⪓⩚≴∭⊉4306))","cot":[{"info":"⪲⇎≴∭⊉5050=≴∭⊉13130","layer":3},{"info":"≴∭⊉14236→⨶⪴≴∭⊉14435=≴∭⊉-46641","layer":3},{"info":"≴∭⊉13130∇⊂⋱≴∭⊉-46641=≴∭⊉24550","layer":2},{"info":"≴∭⊉24550↫=≴∭⊉316","layer":1},{"info":"⨈⪑≴∭⊉3622=≴∭⊉2350","layer":3},{"info":"⪓⩚≴∭⊉4306=≴∭⊉1146","layer":3},{"info":"≴∭⊉2350∴≴∭⊉1146=≴∭⊉12603","layer":2},{"info":"⋎⨆≴∭⊉12603=≴∭⊉0","layer":1},{"info":"≴∭⊉316∌≴∭⊉0=≴∭⊉0","layer":0}]}
+{"id":925,"expression_no_base_symbol":"$4842$≦↸$1240$≝⊿$1443$⫯⪬∳$2524$⊴($1003$⫩)⊱⇼⊻($6290$↦)≬⇓($2505$⋥⋵⩄$3692$⨸⪁(⪭⩑⪱$6376$))⪃⊛⇣(≉$1090$≎⪠$2370$)","expression":"≴∭⊉20055≦↸≴∭⊉3421≝⊿≴∭⊉4131⫯⪬∳≴∭⊉10234⊴(≴∭⊉2632⫩)⊱⇼⊻(≴∭⊉24224↦)≬⇓(≴∭⊉10206⋥⋵⩄≴∭⊉13523⨸⪁(⪭⩑⪱≴∭⊉24406))⪃⊛⇣(≉≴∭⊉3115≎⪠≴∭⊉6624)","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":541303,"operation_count":14,"complexity_ratio":38664.5,"tree":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":4842,"base":7},"right_expr":{"type":"numeric_atoms","value":1240,"base":7}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":1443,"base":7},"right_expr":{"type":"numeric_atoms","value":2524,"base":7}}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"unary","operator":"⫩","unary_expr":{"type":"numeric_atoms","value":1003,"base":7}},"right_expr":{"type":"unary","operator":"↦","unary_expr":{"type":"numeric_atoms","value":6290,"base":7}}}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":2505,"base":7},"right_expr":{"type":"numeric_atoms","value":3692,"base":7}},"right_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"numeric_atoms","value":6376,"base":7}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":1090,"base":7},"right_expr":{"type":"numeric_atoms","value":2370,"base":7}}}}},"used_operators":["jWTQ2TZYIH","Nsiff2A1zJ","OKKcZfAt5B","RygbFNSyEJ","d7ASUq0ydm","FyVja0WsTP","6aG7x05OhS","fFznvYxMfW","rrgAzCduG9","g55IO6H4Gj","7t3wd0Fuz7","SIgE0bArFf","e1ybzncUwg","aNhz54LH3e"],"dependent_operators":["AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","dWAJyo7jo9","14qkJME0vr","12rbrZMWeM","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","dWAJyo7jo9","L05ObWFQCd","d7ASUq0ydm","inkyxCbjAn","9HNa5Wba9A","AHs5Up7iyr","xRrnTEsQ6j","vkpjKywKVM","Z5m6OM72h2","eewbuw0ToL","uWAJUKEvyW","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","W4YGzv6Whe","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF"],"result":"≴∭⊉-31","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4842","layer":4},{"info":"number node, value=1240","layer":4},{"info":"compute binary expreesion, left_input=4842, right_input=1240, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-11483","layer":3},{"info":"number node, value=1443","layer":4},{"info":"number node, value=2524","layer":4},{"info":"compute binary expreesion, left_input=1443, right_input=2524, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=4724","layer":3},{"info":"compute binary expreesion, left_input=-11483, right_input=4724, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=1502","layer":2},{"info":"number node, value=1003","layer":4},{"info":"compute unary expreesion, input=1003, op_id = 6aG7x05OhS, unary_op_definition = 'a⫩ = { (a⪢a) }', output=nan","layer":3},{"info":"number node, value=6290","layer":4},{"info":"compute unary expreesion, input=6290, op_id = fFznvYxMfW, unary_op_definition = 'a↦ = { (((a⊹∫⫚a)*177)⊹∫⫚((579⨰53)⪍↜⋙a)) , if a<72 ; ((⇁⨣⪵(a⫯⪬∳a))⫁⪎((a∘a)≹⇙⪍(a⇮⋭a))) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1502, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=2505","layer":4},{"info":"number node, value=3692","layer":4},{"info":"compute binary expreesion, left_input=2505, right_input=3692, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"number node, value=6376","layer":4},{"info":"compute unary expreesion, input=6376, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=8320752, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=16641730","layer":2},{"info":"number node, value=1090","layer":4},{"info":"number node, value=2370","layer":4},{"info":"compute binary expreesion, left_input=1090, right_input=2370, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"compute unary expreesion, input=19558, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=20089","layer":2},{"info":"compute binary expreesion, left_input=16641730, right_input=20089, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1234, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":0}],"base":7,"result_base":7,"text":"≴∭⊉20055≦↸≴∭⊉3421≝⊿≴∭⊉4131⫯⪬∳≴∭⊉10234⊴(≴∭⊉2632⫩)⊱⇼⊻(≴∭⊉24224↦)≬⇓(≴∭⊉10206⋥⋵⩄≴∭⊉13523⨸⪁(⪭⩑⪱≴∭⊉24406))⪃⊛⇣(≉≴∭⊉3115≎⪠≴∭⊉6624)=≴∭⊉-31","reverse_text":"≴∭⊉-31=≴∭⊉20055≦↸≴∭⊉3421≝⊿≴∭⊉4131⫯⪬∳≴∭⊉10234⊴(≴∭⊉2632⫩)⊱⇼⊻(≴∭⊉24224↦)≬⇓(≴∭⊉10206⋥⋵⩄≴∭⊉13523⨸⪁(⪭⩑⪱≴∭⊉24406))⪃⊛⇣(≉≴∭⊉3115≎⪠≴∭⊉6624)","cot":[{"info":"≴∭⊉20055≦↸≴∭⊉3421=≴∭⊉-45323","layer":3},{"info":"≴∭⊉4131⫯⪬∳≴∭⊉10234=≴∭⊉16526","layer":3},{"info":"≴∭⊉-45323≝⊿≴∭⊉16526=≴∭⊉4244","layer":2},{"info":"≴∭⊉2632⫩=NaN","layer":3},{"info":"≴∭⊉24224↦=NaN","layer":3},{"info":"NaN⊱⇼⊻NaN=NaN","layer":2},{"info":"≴∭⊉4244⊴NaN=NaN","layer":1},{"info":"≴∭⊉10206⋥⋵⩄≴∭⊉13523=≴∭⊉221","layer":3},{"info":"⪭⩑⪱≴∭⊉24406=≴∭⊉130503516","layer":3},{"info":"≴∭⊉221⨸⪁≴∭⊉130503516=≴∭⊉261311110","layer":2},{"info":"≴∭⊉3115≎⪠≴∭⊉6624=≴∭⊉111010","layer":3},{"info":"≉≴∭⊉111010=≴∭⊉112366","layer":2},{"info":"≴∭⊉261311110⪃⊛⇣≴∭⊉112366=≴∭⊉3412","layer":1},{"info":"NaN≬⇓≴∭⊉3412=≴∭⊉-31","layer":0}]}
+{"id":926,"expression_no_base_symbol":"≯(⨈⪑(⩦⊞$2758$⨜⨶$1119$))","expression":"≯(⨈⪑(⩦⊞≴∭⊉11020⨜⨶≴∭⊉3156))","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":114,"operation_count":4,"complexity_ratio":28.5,"tree":{"type":"unary","operator":"≯","unary_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":2758,"base":7},"right_expr":{"type":"numeric_atoms","value":1119,"base":7}}}}},"used_operators":["keWfFq85dY","mp94q5OcYM","u7fv1HBiaC","HiPekx5b7W"],"dependent_operators":["g55IO6H4Gj","JLbD19bQDL","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2758","layer":4},{"info":"number node, value=1119","layer":4},{"info":"compute binary expreesion, left_input=2758, right_input=1119, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-1982","layer":3},{"info":"compute unary expreesion, input=-1982, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-4020","layer":2},{"info":"compute unary expreesion, input=-4020, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":1},{"info":"compute unary expreesion, input=868, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":0}],"base":7,"result_base":7,"text":"≯(⨈⪑(⩦⊞≴∭⊉11020⨜⨶≴∭⊉3156))=≴∭⊉0","reverse_text":"≴∭⊉0=≯(⨈⪑(⩦⊞≴∭⊉11020⨜⨶≴∭⊉3156))","cot":[{"info":"≴∭⊉11020⨜⨶≴∭⊉3156=≴∭⊉-5531","layer":3},{"info":"⩦⊞≴∭⊉-5531=≴∭⊉-14502","layer":2},{"info":"⨈⪑≴∭⊉-14502=≴∭⊉2350","layer":1},{"info":"≯≴∭⊉2350=≴∭⊉0","layer":0}]}
+{"id":927,"expression_no_base_symbol":"((≑⋹$3251$)⊢($4943$↪⪝))∋(($1702$⊝)≥⨤⩑(≋$2105$))⩁⩘(⪝⪂⫅($3505$⪇≇⋚$1425$⪨≂$4191$⨪↰⇹$3124$))","expression":"((≑⋹≴∭⊉12323)⊢(≴∭⊉20261↪⪝))∋((≴∭⊉4651⊝)≥⨤⩑(≋≴∭⊉6065))⩁⩘(⪝⪂⫅(≴∭⊉13135⪇≇⋚≴∭⊉4104⪨≂≴∭⊉15135⨪↰⇹≴∭⊉12052))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5328,"operation_count":12,"complexity_ratio":444.0,"tree":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"numeric_atoms","value":3251,"base":7}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":4943,"base":7}}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"unary","operator":"⊝","unary_expr":{"type":"numeric_atoms","value":1702,"base":7}},"right_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"numeric_atoms","value":2105,"base":7}}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":3505,"base":7},"right_expr":{"type":"numeric_atoms","value":1425,"base":7}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":4191,"base":7},"right_expr":{"type":"numeric_atoms","value":3124,"base":7}}}}},"used_operators":["gub5Cegaqo","ukq6epAj5P","5twsqlHp2o","6B9nyZLogK","l07mrZUIn9","gJLn6v0xnP","O6EZ0fifGK","61wBmkZwlr","XTarYq4gQB","sdazOOVcIp","3sJ7IOPOlU","tmPS8pqC7x"],"dependent_operators":["DpFCA1CohY","IWmyXbctLI","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","9HNa5Wba9A","2DDjHMKMc0","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","IqGBaFP0uj","ncHt1X6cMc","AHs5Up7iyr","EWw2JM7wp4","6o9Blt3TJ6","keWfFq85dY","u7fv1HBiaC","7j4O788W3g","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","rJVOvQCfKK"],"result":"≴∭⊉56251023","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3251","layer":4},{"info":"compute unary expreesion, input=3251, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=1650","layer":3},{"info":"number node, value=4943","layer":4},{"info":"compute unary expreesion, input=4943, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=302422626","layer":3},{"info":"compute binary expreesion, left_input=1650, right_input=302422626, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-3544","layer":2},{"info":"number node, value=1702","layer":4},{"info":"compute unary expreesion, input=1702, op_id = O6EZ0fifGK, unary_op_definition = 'a⊝ = { a , if (≯a)<=30 ; (((⩦⊞a)≁↽≥(a⪉⨛a))≹⇙⪍((a⊓⋫)⪉⨛(a⫰⋱a))) , else }', output=1702","layer":3},{"info":"number node, value=2105","layer":4},{"info":"compute unary expreesion, input=2105, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=2105","layer":3},{"info":"compute binary expreesion, left_input=1702, right_input=2105, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=-3544, right_input=1234, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=2318888","layer":1},{"info":"number node, value=3505","layer":4},{"info":"number node, value=1425","layer":4},{"info":"compute binary expreesion, left_input=3505, right_input=1425, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"number node, value=4191","layer":4},{"info":"number node, value=3124","layer":4},{"info":"compute binary expreesion, left_input=4191, right_input=3124, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=4191","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=4191, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-8280","layer":2},{"info":"compute unary expreesion, input=-8280, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=1217160","layer":1},{"info":"compute binary expreesion, left_input=2318888, right_input=1217160, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=4869588","layer":0}],"base":7,"result_base":7,"text":"((≑⋹≴∭⊉12323)⊢(≴∭⊉20261↪⪝))∋((≴∭⊉4651⊝)≥⨤⩑(≋≴∭⊉6065))⩁⩘(⪝⪂⫅(≴∭⊉13135⪇≇⋚≴∭⊉4104⪨≂≴∭⊉15135⨪↰⇹≴∭⊉12052))=≴∭⊉56251023","reverse_text":"≴∭⊉56251023=((≑⋹≴∭⊉12323)⊢(≴∭⊉20261↪⪝))∋((≴∭⊉4651⊝)≥⨤⩑(≋≴∭⊉6065))⩁⩘(⪝⪂⫅(≴∭⊉13135⪇≇⋚≴∭⊉4104⪨≂≴∭⊉15135⨪↰⇹≴∭⊉12052))","cot":[{"info":"≑⋹≴∭⊉12323=≴∭⊉4545","layer":3},{"info":"≴∭⊉20261↪⪝=≴∭⊉10331356422","layer":3},{"info":"≴∭⊉4545⊢≴∭⊉10331356422=≴∭⊉-13222","layer":2},{"info":"≴∭⊉4651⊝=≴∭⊉4651","layer":3},{"info":"≋≴∭⊉6065=≴∭⊉6065","layer":3},{"info":"≴∭⊉4651≥⨤⩑≴∭⊉6065=≴∭⊉3412","layer":2},{"info":"≴∭⊉-13222∋≴∭⊉3412=≴∭⊉25465415","layer":1},{"info":"≴∭⊉13135⪇≇⋚≴∭⊉4104=≴∭⊉0","layer":3},{"info":"≴∭⊉15135⨪↰⇹≴∭⊉12052=≴∭⊉15135","layer":3},{"info":"≴∭⊉0⪨≂≴∭⊉15135=≴∭⊉-33066","layer":2},{"info":"⪝⪂⫅≴∭⊉-33066=≴∭⊉13226400","layer":1},{"info":"≴∭⊉25465415⩁⩘≴∭⊉13226400=≴∭⊉56251023","layer":0}]}
+{"id":928,"expression_no_base_symbol":"((⫟$5953$)↯⫤)≝⊿(($1340$≀⫉$4153$)⫁⪎$2605$⪃⊛⇣$1565$)⩭","expression":"((⫟≴∭⊉23233)↯⫤)≝⊿((≴∭⊉3623≀⫉≴∭⊉15052)⫁⪎≴∭⊉10411⪃⊛⇣≴∭⊉4364)⩭","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":643235,"operation_count":7,"complexity_ratio":91890.71428571429,"tree":{"type":"unary","operator":"⩭","unary_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"unary","operator":"↯⫤","unary_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"numeric_atoms","value":5953,"base":7}}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":1340,"base":7},"right_expr":{"type":"numeric_atoms","value":4153,"base":7}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":2605,"base":7},"right_expr":{"type":"numeric_atoms","value":1565,"base":7}}}}},"used_operators":["yIPP7u6H5x","OKKcZfAt5B","VwlE7vj6HS","z4E1FaHLuy","xRrnTEsQ6j","oZj3VtZNQx","rrgAzCduG9"],"dependent_operators":["nOKPl9n5zu","SUmda5xLS4","9HNa5Wba9A","fu6greOZ01","3tVxb0NHM4","GjBEYRfMaF","12rbrZMWeM","W4YGzv6Whe","23Mk6UjR3U","tifHPKVTfV","glklzrTFfD","eH2TOUuTDT","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","g55IO6H4Gj","nCS4ZIUYfx","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5953","layer":4},{"info":"compute unary expreesion, input=5953, op_id = z4E1FaHLuy, unary_op_definition = '⫟a = { (((-a)⪨≂(a⨸⪁a))≧⫂∧((a⩷∴a)⨰(a⫡⨏a))) , if (a⫌⩹⨱)>=11 ; (((a+263)⋝⋈⪟(a⨳⩥⨓a))⪒((a⋥≓≎a)⫩⊇)) , else }', output=-16952","layer":3},{"info":"compute unary expreesion, input=-16952, op_id = VwlE7vj6HS, unary_op_definition = 'a↯⫤ = { (((-a)⋝⋈⪟(a⨳⩥⨓a))⨸⪁((a⨁⊸⫻)⇼⇔∾(a+a))) , if (a⋷221)!=277 ; (((300⪐)⨁⊸⫻)⇼⇔∾(a≧⫂∧(26≧⫂∧87))) , else }', output=33904","layer":2},{"info":"number node, value=1340","layer":4},{"info":"number node, value=4153","layer":4},{"info":"compute binary expreesion, left_input=1340, right_input=4153, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"number node, value=2605","layer":4},{"info":"number node, value=1565","layer":4},{"info":"compute binary expreesion, left_input=2605, right_input=1565, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=2822, right_input=1234, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=1588","layer":2},{"info":"compute binary expreesion, left_input=33904, right_input=1588, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-37613","layer":1},{"info":"compute unary expreesion, input=-37613, op_id = yIPP7u6H5x, unary_op_definition = 'a⩭ = { (((a⨐⩸⫘a)⪎↠(696*a))⪔(224⪄(⋗⩴⪓a))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((⫟≴∭⊉23233)↯⫤)≝⊿((≴∭⊉3623≀⫉≴∭⊉15052)⫁⪎≴∭⊉10411⪃⊛⇣≴∭⊉4364)⩭=NaN","reverse_text":"NaN=((⫟≴∭⊉23233)↯⫤)≝⊿((≴∭⊉3623≀⫉≴∭⊉15052)⫁⪎≴∭⊉10411⪃⊛⇣≴∭⊉4364)⩭","cot":[{"info":"⫟≴∭⊉23233=≴∭⊉-100265","layer":3},{"info":"≴∭⊉-100265↯⫤=≴∭⊉200563","layer":2},{"info":"≴∭⊉3623≀⫉≴∭⊉15052=≴∭⊉11141","layer":3},{"info":"≴∭⊉10411⪃⊛⇣≴∭⊉4364=≴∭⊉3412","layer":3},{"info":"≴∭⊉11141⫁⪎≴∭⊉3412=≴∭⊉4426","layer":2},{"info":"≴∭⊉200563≝⊿≴∭⊉4426=≴∭⊉-214442","layer":1},{"info":"≴∭⊉-214442⩭=NaN","layer":0}]}
+{"id":929,"expression_no_base_symbol":"(($3935$⫭)≴⪞⇿($1217$⩘$1828$)⨓(↸⊣$3310$⊱⇼⊻$4220$))⫗⊷⫓(⨙⪌(⋣(⩰$2122$)))","expression":"((≴∭⊉14321⫭)≴⪞⇿(≴∭⊉3356⩘≴∭⊉5221)⨓(↸⊣≴∭⊉12436⊱⇼⊻≴∭⊉15206))⫗⊷⫓(⨙⪌(⋣(⩰≴∭⊉6121)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":686937,"operation_count":10,"complexity_ratio":68693.7,"tree":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"unary","operator":"⫭","unary_expr":{"type":"numeric_atoms","value":3935,"base":7}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":1217,"base":7},"right_expr":{"type":"numeric_atoms","value":1828,"base":7}}},"right_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":3310,"base":7},"right_expr":{"type":"numeric_atoms","value":4220,"base":7}}}},"right_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"numeric_atoms","value":2122,"base":7}}}}},"used_operators":["zashukvMKz","3ViojmjbAp","lvlrscuwVU","t4WUHVGj7f","cHh1gJQ2o6","wztAlM01eG","FyVja0WsTP","vEGLkm4Z2k","zQWRhDnn8F","WkeUrDK8WX"],"dependent_operators":["xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","NTOWxs364D","2DDjHMKMc0","xUOZtlo3hN","g55IO6H4Gj","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI"],"result":"≴∭⊉-251","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3935","layer":4},{"info":"compute unary expreesion, input=3935, op_id = t4WUHVGj7f, unary_op_definition = 'a⫭ = { (⨞⊢((a⨸⪁147)⩚⊴⇥(a⋝⋈⪟a))) }', output=12046","layer":3},{"info":"number node, value=1217","layer":4},{"info":"number node, value=1828","layer":4},{"info":"compute binary expreesion, left_input=1217, right_input=1828, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=12046, right_input=160, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=277207292","layer":2},{"info":"number node, value=3310","layer":4},{"info":"number node, value=4220","layer":4},{"info":"compute binary expreesion, left_input=3310, right_input=4220, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"compute unary expreesion, input=434, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-147","layer":2},{"info":"compute binary expreesion, left_input=277207292, right_input=-147, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-150","layer":1},{"info":"number node, value=2122","layer":4},{"info":"compute unary expreesion, input=2122, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-3122","layer":3},{"info":"compute unary expreesion, input=-3122, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-113","layer":2},{"info":"compute unary expreesion, input=-113, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":1},{"info":"compute binary expreesion, left_input=-150, right_input=868, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉14321⫭)≴⪞⇿(≴∭⊉3356⩘≴∭⊉5221)⨓(↸⊣≴∭⊉12436⊱⇼⊻≴∭⊉15206))⫗⊷⫓(⨙⪌(⋣(⩰≴∭⊉6121)))=≴∭⊉-251","reverse_text":"≴∭⊉-251=((≴∭⊉14321⫭)≴⪞⇿(≴∭⊉3356⩘≴∭⊉5221)⨓(↸⊣≴∭⊉12436⊱⇼⊻≴∭⊉15206))⫗⊷⫓(⨙⪌(⋣(⩰≴∭⊉6121)))","cot":[{"info":"≴∭⊉14321⫭=≴∭⊉50056","layer":3},{"info":"≴∭⊉3356⩘≴∭⊉5221=≴∭⊉316","layer":3},{"info":"≴∭⊉50056≴⪞⇿≴∭⊉316=≴∭⊉6604136345","layer":2},{"info":"≴∭⊉12436⊱⇼⊻≴∭⊉15206=≴∭⊉1160","layer":3},{"info":"↸⊣≴∭⊉1160=≴∭⊉-300","layer":2},{"info":"≴∭⊉6604136345⨓≴∭⊉-300=≴∭⊉-303","layer":1},{"info":"⩰≴∭⊉6121=≴∭⊉-12050","layer":3},{"info":"⋣≴∭⊉-12050=≴∭⊉-221","layer":2},{"info":"⨙⪌≴∭⊉-221=≴∭⊉2350","layer":1},{"info":"≴∭⊉-303⫗⊷⫓≴∭⊉2350=≴∭⊉-251","layer":0}]}
+{"id":930,"expression_no_base_symbol":"((∓(⇖⫷⫕$3164$))⨚⇆($2509$⪃↞⩐)⫒⫫$5004$⪔⊥$4192$)∘((($1372$⇩)∈)⪒(⇁⨣⪵$5401$)∀⇚≩$3799$⪔⊥$3929$)","expression":"((∓(⇖⫷⫕≴∭⊉12140))⨚⇆(≴∭⊉10213⪃↞⩐)⫒⫫≴∭⊉20406⪔⊥≴∭⊉15136)∘(((≴∭⊉4000⇩)∈)⪒(⇁⨣⪵≴∭⊉21514)∀⇚≩≴∭⊉14035⪔⊥≴∭⊉14312)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1760,"operation_count":13,"complexity_ratio":135.3846153846154,"tree":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"numeric_atoms","value":3164,"base":7}}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"unary","operator":"⪃↞⩐","unary_expr":{"type":"numeric_atoms","value":2509,"base":7}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":5004,"base":7},"right_expr":{"type":"numeric_atoms","value":4192,"base":7}}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"∈","unary_expr":{"type":"unary","operator":"⇩","unary_expr":{"type":"numeric_atoms","value":1372,"base":7}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":5401,"base":7}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":3799,"base":7},"right_expr":{"type":"numeric_atoms","value":3929,"base":7}}}}},"used_operators":["Z5m6OM72h2","lwHaAYXP2r","OwUj7dcsQK","UHmRx3INFg","6Ko8hGgeMq","grXIztHqDa","HJ9erzHUuu","f6k1SAg4EE","ztP7wcbY7m","vRio1gEz1j","LRNGc0VcxI","inkyxCbjAn"],"dependent_operators":["eH2TOUuTDT","rysDP5nf3Z","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","IwW236VD4Y","bF6eod5Gvf","l07mrZUIn9","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","XPYlsWDdGa","8w2t5hMYqp","f6k1SAg4EE","14qkJME0vr","W4YGzv6Whe","X99M06cbEe","B5M0gjZbta"],"result":"-Inf","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3164","layer":4},{"info":"compute unary expreesion, input=3164, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":3},{"info":"compute unary expreesion, input=2822, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-47202","layer":2},{"info":"number node, value=2509","layer":4},{"info":"compute unary expreesion, input=2509, op_id = grXIztHqDa, unary_op_definition = 'a⪃↞⩐ = { ((a→⨶⪴a)≠≀(a↪⪝)) }', output=15360","layer":3},{"info":"number node, value=5004","layer":4},{"info":"number node, value=4192","layer":4},{"info":"compute binary expreesion, left_input=5004, right_input=4192, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=11433","layer":3},{"info":"compute binary expreesion, left_input=15360, right_input=11433, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-47202, right_input=nan, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=-inf","layer":1},{"info":"number node, value=1372","layer":4},{"info":"compute unary expreesion, input=1372, op_id = vRio1gEz1j, unary_op_definition = 'a⇩ = { (a+93) }', output=1465","layer":3},{"info":"compute unary expreesion, input=1465, op_id = ztP7wcbY7m, unary_op_definition = 'a∈ = { ((⊄⩳↩250)-(a⊦⊿)) , if ((⪲⇎a)>320 or (a⪒777)>25 or a!=39) ; a , else }', output=3724","layer":2},{"info":"number node, value=5401","layer":4},{"info":"compute unary expreesion, input=5401, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=3799","layer":4},{"info":"number node, value=3929","layer":4},{"info":"compute binary expreesion, left_input=3799, right_input=3929, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=7139","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7139, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=3724, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-inf, right_input=nan, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=-inf","layer":0}],"base":7,"result_base":7,"text":"((∓(⇖⫷⫕≴∭⊉12140))⨚⇆(≴∭⊉10213⪃↞⩐)⫒⫫≴∭⊉20406⪔⊥≴∭⊉15136)∘(((≴∭⊉4000⇩)∈)⪒(⇁⨣⪵≴∭⊉21514)∀⇚≩≴∭⊉14035⪔⊥≴∭⊉14312)=-Inf","reverse_text":"-Inf=((∓(⇖⫷⫕≴∭⊉12140))⨚⇆(≴∭⊉10213⪃↞⩐)⫒⫫≴∭⊉20406⪔⊥≴∭⊉15136)∘(((≴∭⊉4000⇩)∈)⪒(⇁⨣⪵≴∭⊉21514)∀⇚≩≴∭⊉14035⪔⊥≴∭⊉14312)","cot":[{"info":"⇖⫷⫕≴∭⊉12140=≴∭⊉11141","layer":3},{"info":"∓≴∭⊉11141=≴∭⊉-254421","layer":2},{"info":"≴∭⊉10213⪃↞⩐=≴∭⊉62532","layer":3},{"info":"≴∭⊉20406⪔⊥≴∭⊉15136=≴∭⊉45222","layer":3},{"info":"≴∭⊉62532⫒⫫≴∭⊉45222=NaN","layer":2},{"info":"≴∭⊉-254421⨚⇆NaN=-Inf","layer":1},{"info":"≴∭⊉4000⇩=≴∭⊉4162","layer":3},{"info":"≴∭⊉4162∈=≴∭⊉13600","layer":2},{"info":"⇁⨣⪵≴∭⊉21514=NaN","layer":3},{"info":"≴∭⊉14035⪔⊥≴∭⊉14312=≴∭⊉26546","layer":3},{"info":"NaN∀⇚≩≴∭⊉26546=NaN","layer":2},{"info":"≴∭⊉13600⪒NaN=NaN","layer":1},{"info":"-Inf∘NaN=-Inf","layer":0}]}
+{"id":931,"expression_no_base_symbol":"⊵⊁(⊲⪭(($5107$⩌⋺$3309$)↳∿⪆($5193$∼$3418$)))","expression":"⊵⊁(⊲⪭((≴∭⊉20614⩌⋺≴∭⊉12435)↳∿⪆(≴∭⊉21066∼≴∭⊉12652)))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":2459,"operation_count":5,"complexity_ratio":491.8,"tree":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":5107,"base":7},"right_expr":{"type":"numeric_atoms","value":3309,"base":7}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":5193,"base":7},"right_expr":{"type":"numeric_atoms","value":3418,"base":7}}}}},"used_operators":["AvED76WdY7","k7HXdKtiEU","Cw4SuJJGHO","g7Hmc5v1ko","DyGG3AbaNP"],"dependent_operators":["uBihLCJcMX","k8jYdgA6NY","i8ToyICDmI","xUOZtlo3hN","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5107","layer":4},{"info":"number node, value=3309","layer":4},{"info":"compute binary expreesion, left_input=5107, right_input=3309, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-8537","layer":3},{"info":"number node, value=5193","layer":4},{"info":"number node, value=3418","layer":4},{"info":"compute binary expreesion, left_input=5193, right_input=3418, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-8537, right_input=nan, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"⊵⊁(⊲⪭((≴∭⊉20614⩌⋺≴∭⊉12435)↳∿⪆(≴∭⊉21066∼≴∭⊉12652)))=NaN","reverse_text":"NaN=⊵⊁(⊲⪭((≴∭⊉20614⩌⋺≴∭⊉12435)↳∿⪆(≴∭⊉21066∼≴∭⊉12652)))","cot":[{"info":"≴∭⊉20614⩌⋺≴∭⊉12435=≴∭⊉-33614","layer":3},{"info":"≴∭⊉21066∼≴∭⊉12652=NaN","layer":3},{"info":"≴∭⊉-33614↳∿⪆NaN=NaN","layer":2},{"info":"⊲⪭NaN=NaN","layer":1},{"info":"⊵⊁NaN=NaN","layer":0}]}
+{"id":932,"expression_no_base_symbol":"((⊿$6235$⫃⨇$1351$)⊴($1116$⩼⇪↪$1476$⋭≵$6296$⫢⨠$1841$))↓((($1128$⇋≉)∷$2892$≦↸$3708$)⫢⨠($6174$⩌⋺$1129$⫭))","expression":"((⊿≴∭⊉24115⫃⨇≴∭⊉3640)⊴(≴∭⊉3153⩼⇪↪≴∭⊉4206⋭≵≴∭⊉24233⫢⨠≴∭⊉5240))↓(((≴∭⊉3201⇋≉)∷≴∭⊉11301≦↸≴∭⊉13545)⫢⨠(≴∭⊉24000⩌⋺≴∭⊉3202⫭))","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2782831,"operation_count":13,"complexity_ratio":214063.92307692306,"tree":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":6235,"base":7},"right_expr":{"type":"numeric_atoms","value":1351,"base":7}}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":1116,"base":7},"right_expr":{"type":"numeric_atoms","value":1476,"base":7}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":6296,"base":7},"right_expr":{"type":"numeric_atoms","value":1841,"base":7}}}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":1128,"base":7}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":2892,"base":7},"right_expr":{"type":"numeric_atoms","value":3708,"base":7}}},"right_expr":{"type":"unary","operator":"⫭","unary_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":6174,"base":7},"right_expr":{"type":"numeric_atoms","value":1129,"base":7}}}}},"used_operators":["Af076pWI7l","Nsiff2A1zJ","DO4fhlbJSI","09Ly4LVMIf","jBncVCNhdl","ocnLzx9CaJ","xlXykHWxX1","D3AQDKkPcf","XIabStNQrY","RygbFNSyEJ","t4WUHVGj7f","g7Hmc5v1ko"],"dependent_operators":["nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","dWAJyo7jo9","14qkJME0vr","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","9FxExcQeMw","NTOWxs364D","7j4O788W3g","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","NTOWxs364D","2DDjHMKMc0","xUOZtlo3hN","g55IO6H4Gj","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q"],"result":"≴∭⊉-251","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6235","layer":4},{"info":"number node, value=1351","layer":4},{"info":"compute binary expreesion, left_input=6235, right_input=1351, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-5436","layer":3},{"info":"compute unary expreesion, input=-5436, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=23130","layer":2},{"info":"number node, value=1116","layer":4},{"info":"number node, value=1476","layer":4},{"info":"compute binary expreesion, left_input=1116, right_input=1476, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-8883","layer":3},{"info":"number node, value=6296","layer":4},{"info":"number node, value=1841","layer":4},{"info":"compute binary expreesion, left_input=6296, right_input=1841, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-8883, right_input=160, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=23130, right_input=67, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=1128","layer":4},{"info":"compute unary expreesion, input=1128, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=2158","layer":3},{"info":"number node, value=2892","layer":4},{"info":"number node, value=3708","layer":4},{"info":"compute binary expreesion, left_input=2892, right_input=3708, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-12519","layer":3},{"info":"compute binary expreesion, left_input=2158, right_input=-12519, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=-2952","layer":2},{"info":"number node, value=6174","layer":4},{"info":"number node, value=1129","layer":4},{"info":"compute binary expreesion, left_input=6174, right_input=1129, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-7424","layer":3},{"info":"compute unary expreesion, input=-7424, op_id = t4WUHVGj7f, unary_op_definition = 'a⫭ = { (⨞⊢((a⨸⪁147)⩚⊴⇥(a⋝⋈⪟a))) }', output=-22031","layer":2},{"info":"compute binary expreesion, left_input=-2952, right_input=-22031, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=198594","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=198594, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":0}],"base":7,"result_base":7,"text":"((⊿≴∭⊉24115⫃⨇≴∭⊉3640)⊴(≴∭⊉3153⩼⇪↪≴∭⊉4206⋭≵≴∭⊉24233⫢⨠≴∭⊉5240))↓(((≴∭⊉3201⇋≉)∷≴∭⊉11301≦↸≴∭⊉13545)⫢⨠(≴∭⊉24000⩌⋺≴∭⊉3202⫭))=≴∭⊉-251","reverse_text":"≴∭⊉-251=((⊿≴∭⊉24115��⨇≴∭⊉3640)⊴(≴∭⊉3153⩼⇪↪≴∭⊉4206⋭≵≴∭⊉24233⫢⨠≴∭⊉5240))↓(((≴∭⊉3201⇋≉)∷≴∭⊉11301≦↸≴∭⊉13545)⫢⨠(≴∭⊉24000⩌⋺≴∭⊉3202⫭))","cot":[{"info":"≴∭⊉24115⫃⨇≴∭⊉3640=≴∭⊉-21564","layer":3},{"info":"⊿≴∭⊉-21564=≴∭⊉124302","layer":2},{"info":"≴∭⊉3153⩼⇪↪≴∭⊉4206=≴∭⊉-34620","layer":3},{"info":"≴∭⊉24233⫢⨠≴∭⊉5240=≴∭⊉316","layer":3},{"info":"≴∭⊉-34620⋭≵≴∭⊉316=≴∭⊉124","layer":2},{"info":"≴∭⊉124302⊴≴∭⊉124=NaN","layer":1},{"info":"≴∭⊉3201⇋≉=≴∭⊉6202","layer":3},{"info":"≴∭⊉11301≦↸≴∭⊉13545=≴∭⊉-51333","layer":3},{"info":"≴∭⊉6202∷≴∭⊉-51333=≴∭⊉-11415","layer":2},{"info":"≴∭⊉24000⩌⋺≴∭⊉3202=≴∭⊉-30434","layer":3},{"info":"≴∭⊉-30434⫭=≴∭⊉-121142","layer":2},{"info":"≴∭⊉-11415⫢⨠≴∭⊉-121142=≴∭⊉1454664","layer":1},{"info":"NaN↓≴∭⊉1454664=≴∭⊉-251","layer":0}]}
+{"id":933,"expression_no_base_symbol":"(($3172$⊍⩺⋍$1221$)∣($4818$∼$1624$))⪥($2570$⇴∐$7529$)↓($5157$⊴⇁⪶)≳⇉($2788$≳⇉$1151$⫢⨠$8312$⨰$2606$)≁(⊬↢($2732$⫡⨏$2103$))","expression":"((≴∭⊉12151⊍⩺⋍≴∭⊉3363)∣(≴∭⊉20022∼≴∭⊉4510))⪥(≴∭⊉10331⇴∐≴∭⊉30644)↓(≴∭⊉21015⊴⇁⪶)≳⇉(≴∭⊉11062≳⇉≴∭⊉3233⫢⨠≴∭⊉33143⨰≴∭⊉10412)≁(⊬↢(≴∭⊉10652⫡⨏≴∭⊉6063))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":17317520,"operation_count":14,"complexity_ratio":1236965.7142857143,"tree":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":3172,"base":7},"right_expr":{"type":"numeric_atoms","value":1221,"base":7}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":4818,"base":7},"right_expr":{"type":"numeric_atoms","value":1624,"base":7}}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":2570,"base":7},"right_expr":{"type":"numeric_atoms","value":7529,"base":7}},"right_expr":{"type":"unary","operator":"⊴⇁⪶","unary_expr":{"type":"numeric_atoms","value":5157,"base":7}}}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":2788,"base":7},"right_expr":{"type":"numeric_atoms","value":1151,"base":7}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":8312,"base":7},"right_expr":{"type":"numeric_atoms","value":2606,"base":7}}},"right_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2732,"base":7},"right_expr":{"type":"numeric_atoms","value":2103,"base":7}}}}},"used_operators":["V0kx6qeWkN","QbnwKVWMIQ","PPChnnnBFF","OXDGMFPWZM","DyGG3AbaNP","Af076pWI7l","HnzytWxmAO","oo9mF6JIpo","8N2wDY1A35","xlXykHWxX1","eewbuw0ToL","WPoGxAaPR1","QMFrweE19q"],"dependent_operators":["KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","L05ObWFQCd","oacrs7FA3X","2Wsdkap16l","zR4jO40bMj","HrjLwUk87U","YSKBFp38Pu","cHh1gJQ2o6","tmPS8pqC7x","YbVcJGFEVW","12rbrZMWeM","DmTXOeWf9t","RhiyfpczSx","uOZ1tnYMDE","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3172","layer":4},{"info":"number node, value=1221","layer":4},{"info":"compute binary expreesion, left_input=3172, right_input=1221, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"number node, value=4818","layer":4},{"info":"number node, value=1624","layer":4},{"info":"compute binary expreesion, left_input=4818, right_input=1624, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=nan","layer":2},{"info":"number node, value=2570","layer":4},{"info":"number node, value=7529","layer":4},{"info":"compute binary expreesion, left_input=2570, right_input=7529, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"number node, value=5157","layer":4},{"info":"compute unary expreesion, input=5157, op_id = oo9mF6JIpo, unary_op_definition = 'a⊴⇁⪶ = { (⊗((157⇤a)⋳⪒(a⨪↰⇹a))) , if ((a⪶≀⋏180)>=510 or (a⩘665)!=249) ; (((a⪍↜⋙a)≃(a⪚343))⪘⫢((a⩹a)⊲⩕⊾(⩏⊷≩a))) , else }', output=105776","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=105776, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-134, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=-116","layer":1},{"info":"number node, value=2788","layer":4},{"info":"number node, value=1151","layer":4},{"info":"compute binary expreesion, left_input=2788, right_input=1151, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"number node, value=8312","layer":4},{"info":"number node, value=2606","layer":4},{"info":"compute binary expreesion, left_input=8312, right_input=2606, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=5716","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5716, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=nan","layer":2},{"info":"number node, value=2732","layer":4},{"info":"number node, value=2103","layer":4},{"info":"compute binary expreesion, left_input=2732, right_input=2103, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=18649","layer":3},{"info":"compute unary expreesion, input=18649, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=218","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=218, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-116, right_input=nan, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉12151⊍⩺⋍≴∭⊉3363)∣(≴∭⊉20022∼≴∭⊉4510))⪥(≴∭⊉10331⇴∐≴∭⊉30644)↓(≴∭⊉21015⊴⇁⪶)≳⇉(≴∭⊉11062≳⇉≴∭⊉3233⫢⨠≴∭⊉33143⨰≴∭⊉10412)≁(⊬↢(≴∭⊉10652⫡⨏≴∭⊉6063))=NaN","reverse_text":"NaN=((≴∭⊉12151⊍⩺⋍≴∭⊉3363)∣(≴∭⊉20022∼≴∭⊉4510))⪥(≴∭⊉10331⇴∐≴∭⊉30644)↓(≴∭⊉21015⊴⇁⪶)≳⇉(≴∭⊉11062≳⇉≴∭⊉3233⫢⨠≴∭⊉33143⨰≴∭⊉10412)≁(⊬↢(≴∭⊉10652⫡⨏≴∭⊉6063))","cot":[{"info":"≴∭⊉12151⊍⩺⋍≴∭⊉3363=NaN","layer":3},{"info":"≴∭⊉20022∼≴∭⊉4510=NaN","layer":3},{"info":"NaN∣NaN=NaN","layer":2},{"info":"≴∭⊉10331⇴∐≴∭⊉30644=NaN","layer":3},{"info":"≴∭⊉21015⊴⇁⪶=≴∭⊉620246","layer":3},{"info":"NaN↓≴∭⊉620246=≴∭⊉-251","layer":2},{"info":"NaN⪥≴∭⊉-251=≴∭⊉-224","layer":1},{"info":"≴∭⊉11062≳⇉≴∭⊉3233=NaN","layer":3},{"info":"≴∭⊉33143⨰≴∭⊉10412=≴∭⊉22444","layer":3},{"info":"NaN⫢⨠≴∭⊉22444=NaN","layer":2},{"info":"≴∭⊉10652⫡⨏≴∭⊉6063=≴∭⊉105241","layer":3},{"info":"⊬↢≴∭⊉105241=≴∭⊉431","layer":2},{"info":"NaN≁≴∭⊉431=NaN","layer":1},{"info":"≴∭⊉-224≳⇉NaN=NaN","layer":0}]}
+{"id":934,"expression_no_base_symbol":"($2679$⨂≜$1399$+$5152$⩇∃⫛$1119$)⋕⪉⪜($1015$⩦$1010$⊝)⨳⩥⨓($9108$∈)⇤(⇉-⫰$1855$)⩌⋺(($1136$↡⊰⫅$1224$)⨀⨒)","expression":"(≴∭⊉10545⨂≜≴∭⊉4036+≴∭⊉21010⩇∃⫛≴∭⊉3156)⋕⪉⪜(≴∭⊉2650⩦≴∭⊉2642⊝)⨳⩥⨓(≴∭⊉35361∈)⇤(⇉-⫰≴∭⊉5260)⩌⋺((≴∭⊉3212↡⊰⫅≴∭⊉3366)⨀⨒)","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":20016,"operation_count":13,"complexity_ratio":1539.6923076923076,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":2679,"base":7},"right_expr":{"type":"numeric_atoms","value":1399,"base":7}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":5152,"base":7},"right_expr":{"type":"numeric_atoms","value":1119,"base":7}}},"right_expr":{"type":"unary","operator":"⊝","unary_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":1015,"base":7},"right_expr":{"type":"numeric_atoms","value":1010,"base":7}}}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"unary","operator":"∈","unary_expr":{"type":"numeric_atoms","value":9108,"base":7}},"right_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"numeric_atoms","value":1855,"base":7}}},"right_expr":{"type":"unary","operator":"⨀⨒","unary_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":1136,"base":7},"right_expr":{"type":"numeric_atoms","value":1224,"base":7}}}}},"used_operators":["nCS4ZIUYfx","z6LnFrNh4i","W4YGzv6Whe","k1SHOSEABc","1aApVXNlOP","O6EZ0fifGK","0kmYd0q39Y","g7Hmc5v1ko","YSKBFp38Pu","ztP7wcbY7m","IGFM8TAlm9","j6NVkjMzuk","VCtxkLNOzz"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","IqGBaFP0uj","ncHt1X6cMc","AHs5Up7iyr","EWw2JM7wp4","6o9Blt3TJ6","keWfFq85dY","u7fv1HBiaC","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","rysDP5nf3Z","XPYlsWDdGa","8w2t5hMYqp","f6k1SAg4EE","14qkJME0vr","eH2TOUuTDT","eewbuw0ToL","E4l6HwMY31","Ikt5ks8PT7","HmxsFra2vL","oacrs7FA3X","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn"],"result":"≴∭⊉562115","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2679","layer":4},{"info":"number node, value=1399","layer":4},{"info":"compute binary expreesion, left_input=2679, right_input=1399, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"number node, value=5152","layer":4},{"info":"number node, value=1119","layer":4},{"info":"compute binary expreesion, left_input=5152, right_input=1119, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=-3560","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3560, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1015","layer":4},{"info":"number node, value=1010","layer":4},{"info":"compute binary expreesion, left_input=1015, right_input=1010, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=2030","layer":3},{"info":"compute unary expreesion, input=2030, op_id = O6EZ0fifGK, unary_op_definition = 'a⊝ = { a , if (≯a)<=30 ; (((⩦⊞a)≁↽≥(a⪉⨛a))≹⇙⪍((a⊓⋫)⪉⨛(a⫰⋱a))) , else }', output=2030","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2030, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":1},{"info":"number node, value=9108","layer":4},{"info":"compute unary expreesion, input=9108, op_id = ztP7wcbY7m, unary_op_definition = 'a∈ = { ((⊄⩳↩250)-(a⊦⊿)) , if ((⪲⇎a)>320 or (a⪒777)>25 or a!=39) ; a , else }', output=26653","layer":3},{"info":"number node, value=1855","layer":4},{"info":"compute unary expreesion, input=1855, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":3},{"info":"compute binary expreesion, left_input=26653, right_input=20, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-130517","layer":2},{"info":"number node, value=1136","layer":4},{"info":"number node, value=1224","layer":4},{"info":"compute binary expreesion, left_input=1136, right_input=1224, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=2448","layer":3},{"info":"compute unary expreesion, input=2448, op_id = j6NVkjMzuk, unary_op_definition = 'a⨀⨒ = { ((a⪘⫢a)⊔(a⪘⫢a)) , if a!=184 ; ((a⩧⪆a)∙∹∝a) , else }', output=31004","layer":2},{"info":"compute binary expreesion, left_input=-130517, right_input=31004, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵���b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=99392","layer":1},{"info":"compute binary expreesion, left_input=204, right_input=99392, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=99188","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉10545⨂≜≴∭⊉4036+≴∭⊉21010⩇∃⫛≴∭⊉3156)⋕⪉⪜(≴∭⊉2650⩦≴∭⊉2642⊝)⨳⩥⨓(≴∭⊉35361∈)⇤(⇉-⫰≴∭⊉5260)⩌⋺((≴∭⊉3212↡⊰⫅≴∭⊉3366)⨀⨒)=≴∭⊉562115","reverse_text":"≴∭⊉562115=(≴∭⊉10545⨂≜≴∭⊉4036+≴∭⊉21010⩇∃⫛≴∭⊉3156)⋕⪉⪜(≴∭⊉2650⩦≴∭⊉2642⊝)⨳⩥⨓(≴∭⊉35361∈)⇤(⇉-⫰≴∭⊉5260)⩌⋺((≴∭⊉3212↡⊰⫅≴∭⊉3366)⨀⨒)","cot":[{"info":"≴∭⊉10545⨂≜≴∭⊉4036=NaN","layer":3},{"info":"≴∭⊉21010⩇∃⫛≴∭⊉3156=≴∭⊉-13244","layer":3},{"info":"NaN+≴∭⊉-13244=NaN","layer":2},{"info":"≴∭⊉2650⩦≴∭⊉2642=≴∭⊉5630","layer":3},{"info":"≴∭⊉5630⊝=≴∭⊉5630","layer":2},{"info":"NaN⋕⪉⪜≴∭⊉5630=≴∭⊉411","layer":1},{"info":"≴∭⊉35361∈=≴∭⊉140464","layer":3},{"info":"⇉-⫰≴∭⊉5260=≴∭⊉26","layer":3},{"info":"≴∭⊉140464⇤≴∭⊉26=≴∭⊉-1052342","layer":2},{"info":"≴∭⊉3212↡⊰⫅≴∭⊉3366=≴∭⊉10065","layer":3},{"info":"≴∭⊉10065⨀⨒=≴∭⊉156251","layer":2},{"info":"≴∭⊉-1052342⩌⋺≴∭⊉156251=≴∭⊉562526","layer":1},{"info":"≴∭⊉411⨳⩥⨓≴∭⊉562526=≴∭⊉562115","layer":0}]}
+{"id":935,"expression_no_base_symbol":"(⪡⇡≛($1825$≝⊿$3479$≬⇓($3209$∛≔)))⋾⨃∁(((⇠$2887$)⊉≛↸($3350$⨑≵⋬$2679$))↡⊰⫅(⪨⨬($3387$≄⊠$1142$)))","expression":"(⪡⇡≛(≴∭⊉5215≝⊿≴∭⊉13100≬⇓(≴∭⊉12233∛≔)))⋾⨃∁(((⇠≴∭⊉11263)⊉≛↸(≴∭⊉12524⨑≵⋬≴∭⊉10545))↡⊰⫅(⪨⨬(≴∭⊉12606≄⊠≴∭⊉3221)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":56382,"operation_count":11,"complexity_ratio":5125.636363636364,"tree":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":1825,"base":7},"right_expr":{"type":"numeric_atoms","value":3479,"base":7}},"right_expr":{"type":"unary","operator":"∛≔","unary_expr":{"type":"numeric_atoms","value":3209,"base":7}}}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"numeric_atoms","value":2887,"base":7}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":3350,"base":7},"right_expr":{"type":"numeric_atoms","value":2679,"base":7}}},"right_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":3387,"base":7},"right_expr":{"type":"numeric_atoms","value":1142,"base":7}}}}},"used_operators":["212REbPD9h","qL4PrbW1Dq","jWTQ2TZYIH","OKKcZfAt5B","mGnSCrte3L","VCtxkLNOzz","DZ8iAZOCBD","18saOjeKKm","XnXgA4xnOs","5obUd6DV38","vXNesLlMH1"],"dependent_operators":["eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","12rbrZMWeM","d7ASUq0ydm","OKKcZfAt5B","212REbPD9h","gx7XJ7hdpj","nEsXyWgiOK","oWn0xqSxBt","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","T2fj7uvVaJ","nlCqmYiOvY","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI"],"result":"≴∭⊉316","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1825","layer":4},{"info":"number node, value=3479","layer":4},{"info":"compute binary expreesion, left_input=1825, right_input=3479, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-9316","layer":3},{"info":"number node, value=3209","layer":4},{"info":"compute unary expreesion, input=3209, op_id = mGnSCrte3L, unary_op_definition = 'a∛≔ = { (((⊙↵-a)⋾⨃∁(a⨻⩈⩔a))≝⊿(a⫸⇳(a⫯⪬∳a))) }', output=-inf","layer":3},{"info":"compute binary expreesion, left_input=-9316, right_input=-inf, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=868959638","layer":2},{"info":"compute unary expreesion, input=868959638, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-868959638","layer":1},{"info":"number node, value=2887","layer":4},{"info":"compute unary expreesion, input=2887, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-2645","layer":3},{"info":"number node, value=3350","layer":4},{"info":"number node, value=2679","layer":4},{"info":"compute binary expreesion, left_input=3350, right_input=2679, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-624","layer":3},{"info":"compute binary expreesion, left_input=-2645, right_input=-624, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=624","layer":2},{"info":"number node, value=3387","layer":4},{"info":"number node, value=1142","layer":4},{"info":"compute binary expreesion, left_input=3387, right_input=1142, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=22940","layer":3},{"info":"compute unary expreesion, input=22940, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":2},{"info":"compute binary expreesion, left_input=624, right_input=-526, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-868959638, right_input=nan, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=160","layer":0}],"base":7,"result_base":7,"text":"(⪡⇡≛(≴∭⊉5215≝⊿≴∭⊉13100≬⇓(≴∭⊉12233∛≔)))⋾⨃∁(((⇠≴∭⊉11263)⊉≛↸(≴∭⊉12524⨑≵⋬≴∭⊉10545))↡⊰⫅(⪨⨬(≴∭⊉12606≄⊠≴∭⊉3221)))=≴∭⊉316","reverse_text":"≴∭⊉316=(⪡⇡≛(≴∭⊉5215≝⊿≴∭⊉13100≬⇓(≴∭⊉12233∛≔)))⋾⨃∁(((⇠≴∭⊉11263)⊉≛↸(≴∭⊉12524⨑≵⋬≴∭⊉10545))↡⊰⫅(⪨⨬(≴∭⊉12606≄⊠≴∭⊉3221)))","cot":[{"info":"≴∭⊉5215≝⊿≴∭⊉13100=≴∭⊉-36106","layer":3},{"info":"≴∭⊉12233∛≔=-Inf","layer":3},{"info":"≴∭⊉-36106≬⇓-Inf=≴∭⊉30351015011","layer":2},{"info":"⪡⇡≛≴∭⊉30351015011=≴∭⊉-30351015011","layer":1},{"info":"⇠≴∭⊉11263=≴∭⊉-10466","layer":3},{"info":"≴∭⊉12524⨑≵⋬≴∭⊉10545=≴∭⊉-1551","layer":3},{"info":"≴∭⊉-10466⊉≛↸≴∭⊉-1551=≴∭⊉1551","layer":2},{"info":"≴∭⊉12606≄⊠≴∭⊉3221=≴∭⊉123611","layer":3},{"info":"⪨⨬≴∭⊉123611=≴∭⊉-1351","layer":2},{"info":"≴∭⊉1551↡⊰⫅≴∭⊉-1351=NaN","layer":1},{"info":"≴∭⊉-30351015011⋾⨃∁NaN=≴∭⊉316","layer":0}]}
+{"id":936,"expression_no_base_symbol":"(($2532$⇍⊗$3113$/$2533$∖$1013$)⨒(($4528$⊟⇱)⩉⊫⨁))⫁⪎(($3711$⪨⊡$4651$)⨪↰⇹$1074$⨜⨶$1651$∠⫱$1735$⋹⋡⊁$1123$≚⊃≕$1726$⨸$6307$)","expression":"((≴∭⊉10245⇍⊗≴∭⊉12035/≴∭⊉10246∖≴∭⊉2645)⨒((≴∭⊉16126⊟⇱)⩉⊫⨁))⫁⪎((≴∭⊉13551⪨⊡≴∭⊉16363)⨪↰⇹≴∭⊉3063⨜⨶≴∭⊉4546∠⫱≴∭⊉5026⋹⋡⊁≴∭⊉3163≚⊃≕≴∭⊉5014⨸≴∭⊉24250)","highest_n_order":5,"priority_hierarchical_complexity":14,"normalized_expansion_degree":64771,"operation_count":14,"complexity_ratio":4626.5,"tree":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":2532,"base":7},"right_expr":{"type":"numeric_atoms","value":3113,"base":7}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":2533,"base":7},"right_expr":{"type":"numeric_atoms","value":1013,"base":7}}},"right_expr":{"type":"unary","operator":"⩉⊫⨁","unary_expr":{"type":"unary","operator":"⊟⇱","unary_expr":{"type":"numeric_atoms","value":4528,"base":7}}}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":3711,"base":7},"right_expr":{"type":"numeric_atoms","value":4651,"base":7}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":1074,"base":7},"right_expr":{"type":"numeric_atoms","value":1651,"base":7}}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":1735,"base":7},"right_expr":{"type":"numeric_atoms","value":1123,"base":7}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":1726,"base":7},"right_expr":{"type":"numeric_atoms","value":6307,"base":7}}}}},"used_operators":["xRrnTEsQ6j","y75s1iXyHd","XhwjNDsVaA","5uvYHDjeKN","tXD093vOjl","7qqUquhhSb","03sUfWo75k","QvoQhV0rrE","tmPS8pqC7x","kuIXHzHcAH","HiPekx5b7W","Bmrmz2XGnR","As8RqfVLgs","KmoU8R5UQR"],"dependent_operators":["P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","rysDP5nf3Z","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","7j4O788W3g","IWmyXbctLI","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","rJVOvQCfKK","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2532","layer":4},{"info":"number node, value=3113","layer":4},{"info":"compute binary expreesion, left_input=2532, right_input=3113, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"number node, value=2533","layer":4},{"info":"number node, value=1013","layer":4},{"info":"compute binary expreesion, left_input=2533, right_input=1013, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-244, right_input=0, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=4528","layer":4},{"info":"compute unary expreesion, input=4528, op_id = 03sUfWo75k, unary_op_definition = 'a⊟⇱ = { (a⪮%⊝a) }', output=9372","layer":3},{"info":"compute unary expreesion, input=9372, op_id = 7qqUquhhSb, unary_op_definition = 'a⩉⊫⨁ = { (331↺a) }', output=9372","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=9372, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=nan","layer":1},{"info":"number node, value=3711","layer":4},{"info":"number node, value=4651","layer":4},{"info":"compute binary expreesion, left_input=3711, right_input=4651, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=1074","layer":4},{"info":"number node, value=1651","layer":4},{"info":"compute binary expreesion, left_input=1074, right_input=1651, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-3046","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-3046, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=0","layer":2},{"info":"number node, value=1735","layer":4},{"info":"number node, value=1123","layer":4},{"info":"compute binary expreesion, left_input=1735, right_input=1123, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=1873","layer":3},{"info":"number node, value=1726","layer":4},{"info":"number node, value=6307","layer":4},{"info":"compute binary expreesion, left_input=1726, right_input=6307, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=3452","layer":3},{"info":"compute binary expreesion, left_input=1873, right_input=3452, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=67, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=-67","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-67, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉10245⇍⊗≴∭⊉12035/≴∭⊉10246∖≴∭⊉2645)⨒((≴∭⊉16126⊟⇱)⩉⊫⨁))⫁⪎((≴∭⊉13551⪨⊡≴∭⊉16363)⨪↰⇹≴∭⊉3063⨜⨶≴∭⊉4546∠⫱≴∭⊉5026⋹⋡⊁≴∭⊉3163≚⊃≕≴∭⊉5014⨸≴∭⊉24250)=NaN","reverse_text":"NaN=((≴∭⊉10245⇍⊗≴∭⊉12035/≴∭⊉10246∖≴∭⊉2645)⨒((≴∭⊉16126⊟⇱)⩉⊫⨁))⫁⪎((≴∭⊉13551⪨⊡≴∭⊉16363)⨪↰⇹≴∭⊉3063⨜⨶≴∭⊉4546∠⫱≴∭⊉5026⋹⋡⊁≴∭⊉3163≚⊃≕≴∭⊉5014⨸≴∭⊉24250)","cot":[{"info":"≴∭⊉10245��⊗≴∭⊉12035=≴∭⊉-466","layer":3},{"info":"≴∭⊉10246∖≴∭⊉2645=≴∭⊉0","layer":3},{"info":"≴∭⊉-466/≴∭⊉0=NaN","layer":2},{"info":"≴∭⊉16126⊟⇱=≴∭⊉36216","layer":3},{"info":"≴∭⊉36216⩉⊫⨁=≴∭⊉36216","layer":2},{"info":"NaN⨒≴∭⊉36216=NaN","layer":1},{"info":"≴∭⊉13551⪨⊡≴∭⊉16363=≴∭⊉0","layer":3},{"info":"≴∭⊉3063⨜⨶≴∭⊉4546=≴∭⊉-11611","layer":3},{"info":"≴∭⊉0⨪↰⇹≴∭⊉-11611=≴∭⊉0","layer":2},{"info":"≴∭⊉5026⋹⋡⊁≴∭⊉3163=≴∭⊉5314","layer":3},{"info":"≴∭⊉5014⨸≴∭⊉24250=≴∭⊉13031","layer":3},{"info":"≴∭⊉5314≚⊃≕≴∭⊉13031=≴∭⊉124","layer":2},{"info":"≴∭⊉0∠⫱≴∭⊉124=≴∭⊉-124","layer":1},{"info":"NaN⫁⪎≴∭⊉-124=NaN","layer":0}]}
+{"id":937,"expression_no_base_symbol":"(($2952$⪷)↙$7361$∛$6511$)≎⪠(⪁⇼($2511$⨉))⊲⩕⊾(($3588$⪬$1024$⊍⩺⋍($6289$∕⩚$3631$))∷)","expression":"((≴∭⊉11415⪷)↙≴∭⊉30314∛≴∭⊉24661)≎⪠(⪁⇼(≴∭⊉10215⨉))⊲⩕⊾((≴∭⊉13314⪬≴∭⊉2662⊍⩺⋍(≴∭⊉24223∕⩚≴∭⊉13405))∷)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":31810,"operation_count":11,"complexity_ratio":2891.818181818182,"tree":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⪷","unary_expr":{"type":"numeric_atoms","value":2952,"base":7}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":7361,"base":7},"right_expr":{"type":"numeric_atoms","value":6511,"base":7}}},"right_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"unary","operator":"⨉","unary_expr":{"type":"numeric_atoms","value":2511,"base":7}}}},"right_expr":{"type":"unary","operator":"∷","unary_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":3588,"base":7},"right_expr":{"type":"numeric_atoms","value":1024,"base":7}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":6289,"base":7},"right_expr":{"type":"numeric_atoms","value":3631,"base":7}}}}},"used_operators":["DmTXOeWf9t","aNhz54LH3e","yyfyN0ffXY","Qctrpi3WzA","w2537kitQq","ZNVVrZ94lY","aMUSaJuDRU","nFAOW8KTqp","OXDGMFPWZM","Ez1Nq5fNfI","z9ffQ9n5Zr"],"dependent_operators":["23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","tmPS8pqC7x","DpFCA1CohY","Nsiff2A1zJ","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","tmPS8pqC7x","g55IO6H4Gj","qWUSsah53b","D4vGDi5EA2","t8gj7n24qd","2DDjHMKMc0","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2952","layer":4},{"info":"compute unary expreesion, input=2952, op_id = Qctrpi3WzA, unary_op_definition = 'a⪷ = { (a⊴a) }', output=nan","layer":3},{"info":"number node, value=7361","layer":4},{"info":"number node, value=6511","layer":4},{"info":"compute binary expreesion, left_input=7361, right_input=6511, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-670, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":2},{"info":"number node, value=2511","layer":4},{"info":"compute unary expreesion, input=2511, op_id = aMUSaJuDRU, unary_op_definition = 'a⨉ = { ((⫡⇟⇯148)⨸⪁(a⨪↰⇹a)) }', output=7350","layer":3},{"info":"compute unary expreesion, input=7350, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=422, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":1},{"info":"number node, value=3588","layer":4},{"info":"number node, value=1024","layer":4},{"info":"compute binary expreesion, left_input=3588, right_input=1024, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"number node, value=6289","layer":4},{"info":"number node, value=3631","layer":4},{"info":"compute binary expreesion, left_input=6289, right_input=3631, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-6292","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=-6292, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = nFAOW8KTqp, unary_op_definition = 'a∷ = { ((-(a⋝⋈⪟a))≦≮≮) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=19558, right_input=nan, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉11415⪷)↙≴∭⊉30314∛≴∭⊉24661)≎⪠(⪁⇼(≴∭⊉10215⨉))⊲⩕⊾((≴∭⊉13314⪬≴∭⊉2662⊍⩺⋍(≴∭⊉24223∕⩚≴∭⊉13405))∷)=NaN","reverse_text":"NaN=((≴∭⊉11415⪷)↙≴∭⊉30314∛≴∭⊉24661)≎⪠(⪁⇼(≴∭⊉10215⨉))⊲⩕⊾((≴∭⊉13314⪬≴∭⊉2662⊍⩺⋍(≴∭⊉24223∕⩚≴∭⊉13405))∷)","cot":[{"info":"≴∭⊉11415⪷=NaN","layer":3},{"info":"≴∭⊉30314∛≴∭⊉24661=≴∭⊉-1645","layer":3},{"info":"NaN↙≴∭⊉-1645=NaN","layer":2},{"info":"≴∭⊉10215⨉=≴∭⊉30300","layer":3},{"info":"⪁⇼≴∭⊉30300=≴∭⊉1142","layer":2},{"info":"NaN≎⪠≴∭⊉1142=≴∭⊉111010","layer":1},{"info":"≴∭⊉13314⪬≴∭⊉2662=≴∭⊉3412","layer":3},{"info":"≴∭⊉24223∕⩚≴∭⊉13405=≴∭⊉-24226","layer":3},{"info":"≴∭⊉3412⊍⩺⋍≴∭⊉-24226=NaN","layer":2},{"info":"NaN∷=NaN","layer":1},{"info":"≴∭⊉111010⊲⩕⊾NaN=NaN","layer":0}]}
+{"id":938,"expression_no_base_symbol":"(((≯$1810$)∝$3867$⫗⊷⫓$1237$)⨎($4341$∝$1422$)⨿(⊤⊝$1251$))⇞","expression":"(((≯≴∭⊉5164)∝≴∭⊉14163⫗⊷⫓≴∭⊉3415)⨎(≴∭⊉15441∝≴∭⊉4101)⨿(⊤⊝≴∭⊉3435))⇞","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":960726,"operation_count":8,"complexity_ratio":120090.75,"tree":{"type":"unary","operator":"⇞","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"numeric_atoms","value":1810,"base":7}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":3867,"base":7},"right_expr":{"type":"numeric_atoms","value":1237,"base":7}}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":4341,"base":7},"right_expr":{"type":"numeric_atoms","value":1422,"base":7}},"right_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"numeric_atoms","value":1251,"base":7}}}}},"used_operators":["5JYyxRJd4f","rJVOvQCfKK","cTDWOvIxvz","keWfFq85dY","zashukvMKz","abYXlopdE0","rXAclfmB4M"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","QMFrweE19q","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","7j4O788W3g","W4YGzv6Whe","COABgblf1C","g55IO6H4Gj","JLbD19bQDL","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","sdazOOVcIp"],"result":"≴∭⊉-1365","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1810","layer":4},{"info":"compute unary expreesion, input=1810, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":3},{"info":"number node, value=3867","layer":4},{"info":"number node, value=1237","layer":4},{"info":"compute binary expreesion, left_input=3867, right_input=1237, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-134, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=5","layer":2},{"info":"number node, value=4341","layer":4},{"info":"number node, value=1422","layer":4},{"info":"compute binary expreesion, left_input=4341, right_input=1422, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=4346","layer":3},{"info":"number node, value=1251","layer":4},{"info":"compute unary expreesion, input=1251, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=1204","layer":3},{"info":"compute binary expreesion, left_input=4346, right_input=1204, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":2},{"info":"compute binary expreesion, left_input=5, right_input=-319, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-319","layer":1},{"info":"compute unary expreesion, input=-319, op_id = 5JYyxRJd4f, unary_op_definition = 'a⇞ = { (a≧⫂∧((a⩷∴a)⨸⪁(a-a))) , if a<7 ; ((⨞⊢(a∲⫓a))⫡⨏(a⊉≛↸(a⇼⇔∾a))) , else }', output=-537","layer":0}],"base":7,"result_base":7,"text":"(((≯≴∭⊉5164)∝≴∭⊉14163⫗⊷⫓≴∭⊉3415)⨎(≴∭⊉15441∝≴∭⊉4101)⨿(⊤⊝≴∭⊉3435))⇞=≴∭⊉-1365","reverse_text":"≴∭⊉-1365=(((≯≴∭⊉5164)∝≴∭⊉14163⫗⊷⫓≴∭⊉3415)⨎(≴∭⊉15441∝≴∭⊉4101)⨿(⊤⊝≴∭⊉3435))⇞","cot":[{"info":"≯≴∭⊉5164=≴∭⊉0","layer":3},{"info":"≴∭⊉14163⫗⊷⫓≴∭⊉3415=≴∭⊉-251","layer":3},{"info":"≴∭⊉0∝≴∭⊉-251=≴∭⊉5","layer":2},{"info":"≴∭⊉15441∝≴∭⊉4101=≴∭⊉15446","layer":3},{"info":"⊤⊝≴∭⊉3435=≴∭⊉3340","layer":3},{"info":"≴∭⊉15446⨿≴∭⊉3340=≴∭⊉-634","layer":2},{"info":"≴∭⊉5⨎≴∭⊉-634=≴∭⊉-634","layer":1},{"info":"≴∭⊉-634⇞=≴∭⊉-1365","layer":0}]}
+{"id":939,"expression_no_base_symbol":"(⨈⪑(⋗⩴⪓$4013$)⩍⋽⫝̸(⇙⪊$2145$))⊭↱(($4683$⋾⨃∁$1535$)↬($1995$⊬⫿⊭))⪃⊛⇣($4850$⨽∌$2279$⋭≵$3204$⨥⫆$7639$)","expression":"(⨈⪑(⋗⩴⪓≴∭⊉14462)⩍⋽⫝̸(⇙⪊≴∭⊉6153))⊭↱((≴∭⊉16440⋾⨃∁≴∭⊉4322)↬(≴∭⊉5550⊬⫿⊭))⪃⊛⇣(≴∭⊉20066⨽∌≴∭⊉6434⋭≵≴∭⊉12225⨥⫆≴∭⊉31162)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":6412,"operation_count":12,"complexity_ratio":534.3333333333334,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"numeric_atoms","value":4013,"base":7}},"right_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"numeric_atoms","value":2145,"base":7}}}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":4683,"base":7},"right_expr":{"type":"numeric_atoms","value":1535,"base":7}},"right_expr":{"type":"unary","operator":"⊬⫿⊭","unary_expr":{"type":"numeric_atoms","value":1995,"base":7}}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":4850,"base":7},"right_expr":{"type":"numeric_atoms","value":2279,"base":7}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":3204,"base":7},"right_expr":{"type":"numeric_atoms","value":7639,"base":7}}}}},"used_operators":["COABgblf1C","mp94q5OcYM","BiWNJpBvwn","nOKPl9n5zu","pB6Fcnrjim","rrgAzCduG9","B5M0gjZbta","212REbPD9h","v0DYgG9ikt","jBncVCNhdl","9samAPKr6k","yXekIHxTD4"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","Ph9nP6C5qx","xUOZtlo3hN","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","rGHVDoGpnC","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","eLAdDNolq6","P8v4zCKN1o","7j4O788W3g","8w2t5hMYqp","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X"],"result":"≴∭⊉2102","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4013","layer":4},{"info":"compute unary expreesion, input=4013, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=-3100","layer":3},{"info":"number node, value=2145","layer":4},{"info":"compute unary expreesion, input=2145, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-3100, right_input=0, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=-209","layer":2},{"info":"compute unary expreesion, input=-209, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":1},{"info":"number node, value=4683","layer":4},{"info":"number node, value=1535","layer":4},{"info":"compute binary expreesion, left_input=4683, right_input=1535, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=23543736","layer":3},{"info":"number node, value=1995","layer":4},{"info":"compute unary expreesion, input=1995, op_id = v0DYgG9ikt, unary_op_definition = 'a⊬⫿⊭ = { ((⨑⩽⪐(≤/a))↺((⨞⊢a)⨰(↽≂188))) , if a<119 ; (((∥⊫a)⨳⩥⨓(a⨵⪆a))↺(⊄⩳↩(a⋝⋈⪟a))) , else }', output=-5985","layer":3},{"info":"compute binary expreesion, left_input=23543736, right_input=-5985, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=4850","layer":4},{"info":"number node, value=2279","layer":4},{"info":"compute binary expreesion, left_input=4850, right_input=2279, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"number node, value=3204","layer":4},{"info":"number node, value=7639","layer":4},{"info":"compute binary expreesion, left_input=3204, right_input=7639, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=15154","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=15154, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=34","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=34, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":1},{"info":"compute binary expreesion, left_input=868, right_input=1234, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=737","layer":0}],"base":7,"result_base":7,"text":"(⨈⪑(⋗⩴⪓≴∭⊉14462)⩍⋽⫝̸(⇙⪊≴∭⊉6153))⊭↱((≴∭⊉16440⋾⨃∁≴∭⊉4322)↬(≴∭⊉5550⊬⫿⊭))⪃⊛⇣(≴∭⊉20066⨽∌≴∭⊉6434⋭≵≴∭⊉12225⨥⫆≴∭⊉31162)=≴∭⊉2102","reverse_text":"≴∭⊉2102=(⨈⪑(⋗⩴⪓≴∭⊉14462)⩍⋽⫝̸(⇙⪊≴∭⊉6153))⊭↱((≴∭⊉16440⋾⨃∁≴∭⊉4322)↬(≴∭⊉5550⊬⫿⊭))⪃⊛⇣(≴∭⊉20066⨽∌≴∭⊉6434⋭≵≴∭⊉12225⨥⫆≴∭⊉31162)","cot":[{"info":"⋗⩴⪓≴∭⊉14462=≴∭⊉-12016","layer":3},{"info":"⇙⪊≴∭⊉6153=≴∭⊉0","layer":3},{"info":"≴∭⊉-12016⩍⋽⫝̸≴∭⊉0=≴∭⊉-416","layer":2},{"info":"⨈⪑≴∭⊉-416=≴∭⊉2350","layer":1},{"info":"≴∭⊉16440⋾⨃∁≴∭⊉4322=≴∭⊉404055426","layer":3},{"info":"≴∭⊉5550⊬⫿⊭=≴∭⊉-23310","layer":3},{"info":"≴∭⊉404055426↬≴∭⊉-23310=NaN","layer":2},{"info":"≴∭⊉20066⨽∌≴∭⊉6434=≴∭⊉0","layer":3},{"info":"≴∭⊉12225⨥⫆≴∭⊉31162=≴∭⊉62116","layer":3},{"info":"≴∭⊉0⋭≵≴∭⊉62116=≴∭⊉46","layer":2},{"info":"NaN⪃⊛⇣≴∭⊉46=≴∭⊉3412","layer":1},{"info":"≴∭⊉2350⊭↱≴∭⊉3412=≴∭⊉2102","layer":0}]}
+{"id":940,"expression_no_base_symbol":"(∐⩳⋚(↥≼⋛$7550$))⪎↠(⩪∧⨌($1659$↺$5785$))⨪↰⇹((⇨$7321$)→⨶⪴(⫓⪴$3905$)⩚⊴⇥($2732$↬⩅∪)⨸($2199$%$4426$))","expression":"(∐⩳⋚(↥≼⋛≴∭⊉31004))⪎↠(⩪∧⨌(≴∭⊉4560↺≴∭⊉22603))⨪↰⇹((⇨≴∭⊉30226)→⨶⪴(⫓⪴≴∭⊉14246)⩚⊴⇥(≴∭⊉10652↬⩅∪)⨸(≴∭⊉6261%≴∭⊉15622))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":12487,"operation_count":13,"complexity_ratio":960.5384615384615,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"numeric_atoms","value":7550,"base":7}}},"right_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1659,"base":7},"right_expr":{"type":"numeric_atoms","value":5785,"base":7}}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"numeric_atoms","value":7321,"base":7}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":3905,"base":7}}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"unary","operator":"↬⩅∪","unary_expr":{"type":"numeric_atoms","value":2732,"base":7}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2199,"base":7},"right_expr":{"type":"numeric_atoms","value":4426,"base":7}}}}},"used_operators":["tmPS8pqC7x","3tVxb0NHM4","SL6IHkK8vl","x5lMkHmzsq","6iOiAJX1F8","7j4O788W3g","NTOWxs364D","bF6eod5Gvf","G9tJMlZ94a","eLxqMNBOBk","KmoU8R5UQR","VJ330n2nnx","k8jYdgA6NY"],"dependent_operators":["rJVOvQCfKK","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","8w2t5hMYqp","9FxExcQeMw","k8jYdgA6NY","9HNa5Wba9A","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","D4vGDi5EA2","23Mk6UjR3U","u6S6b8DprG","rysDP5nf3Z"],"result":"≴∭⊉106","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=7550","layer":4},{"info":"compute unary expreesion, input=7550, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-113","layer":3},{"info":"compute unary expreesion, input=-113, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=-61820","layer":2},{"info":"number node, value=1659","layer":4},{"info":"number node, value=5785","layer":4},{"info":"compute binary expreesion, left_input=1659, right_input=5785, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=5785","layer":3},{"info":"compute unary expreesion, input=5785, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=57850","layer":2},{"info":"compute binary expreesion, left_input=-61820, right_input=57850, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=-55","layer":1},{"info":"number node, value=7321","layer":4},{"info":"compute unary expreesion, input=7321, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":3},{"info":"number node, value=3905","layer":4},{"info":"compute unary expreesion, input=3905, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=15249025","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=15249025, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-45747075","layer":2},{"info":"number node, value=2732","layer":4},{"info":"compute unary expreesion, input=2732, op_id = VJ330n2nnx, unary_op_definition = 'a↬⩅∪ = { (a≦≮≮) , if (↽≂a)!=185 or a>=376 or a<=585 ; (a⋷a) , else }', output=-8196","layer":3},{"info":"number node, value=2199","layer":4},{"info":"number node, value=4426","layer":4},{"info":"compute binary expreesion, left_input=2199, right_input=4426, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2199","layer":3},{"info":"compute binary expreesion, left_input=-8196, right_input=2199, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=792598","layer":2},{"info":"compute binary expreesion, left_input=-45747075, right_input=792598, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=44954356","layer":1},{"info":"compute binary expreesion, left_input=-55, right_input=44954356, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=55","layer":0}],"base":7,"result_base":7,"text":"(∐⩳⋚(↥≼⋛≴∭⊉31004))⪎↠(⩪∧⨌(≴∭⊉4560↺≴∭⊉22603))⨪↰⇹((⇨≴∭⊉30226)→⨶⪴(⫓⪴≴∭⊉14246)⩚⊴⇥(≴∭⊉10652↬⩅∪)⨸(≴∭⊉6261%≴∭⊉15622))=≴∭⊉106","reverse_text":"≴∭⊉106=(∐⩳⋚(↥≼⋛≴∭⊉31004))⪎↠(⩪∧⨌(≴∭⊉4560↺≴∭⊉22603))⨪↰⇹((⇨≴∭⊉30226)→⨶⪴(⫓⪴≴∭⊉14246)⩚⊴⇥(≴∭⊉10652↬⩅∪)⨸(≴∭⊉6261%≴∭⊉15622))","cot":[{"info":"↥≼⋛≴∭⊉31004=≴∭⊉-221","layer":3},{"info":"∐⩳⋚≴∭⊉-221=≴∭⊉-345143","layer":2},{"info":"≴∭⊉4560↺≴∭⊉22603=≴∭⊉22603","layer":3},{"info":"⩪∧⨌≴∭⊉22603=≴∭⊉330442","layer":2},{"info":"≴∭⊉-345143⪎↠≴∭⊉330442=≴∭⊉-106","layer":1},{"info":"⇨≴∭⊉30226=≴∭⊉0","layer":3},{"info":"⫓⪴≴∭⊉14246=≴∭⊉243420541","layer":3},{"info":"≴∭⊉0→⨶⪴≴∭⊉243420541=≴∭⊉-1063562253","layer":2},{"info":"≴∭⊉10652↬⩅∪=≴∭⊉-32616","layer":3},{"info":"≴∭⊉6261%≴∭⊉15622=≴∭⊉6261","layer":3},{"info":"≴∭⊉-32616⨸≴∭⊉6261=≴∭⊉6510532","layer":2},{"info":"≴∭⊉-1063562253⩚⊴⇥≴∭⊉6510532=≴∭⊉1054051156","layer":1},{"info":"≴∭⊉-106⨪↰⇹≴∭⊉1054051156=≴∭⊉106","layer":0}]}
+{"id":941,"expression_no_base_symbol":"((∂$8456$)≧⫂∧($1208$⨳⩥⨓$3531$))≝⊿(⇠($1430$⨰$1579$))≨(($5827$⋭≵$4084$)⇡⇂($4758$≀⩗∶$2928$)≄⊠($7504$∠↢$7084$)⨻⩈⩔$4315$∌$1221$)","expression":"((∂≴∭⊉33440)≧⫂∧(≴∭⊉3344⨳⩥⨓≴∭⊉13203))≝⊿(⇠(≴∭⊉4112⨰≴∭⊉4414))≨((≴∭⊉22663⋭≵≴∭⊉14623)⇡⇂(≴∭⊉16605≀⩗∶≴∭⊉11352)≄⊠(≴∭⊉30610∠↢≴∭⊉26440)⨻⩈⩔≴∭⊉15403∌≴∭⊉3363)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":21447,"operation_count":14,"complexity_ratio":1531.9285714285713,"tree":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":8456,"base":7}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1208,"base":7},"right_expr":{"type":"numeric_atoms","value":3531,"base":7}}},"right_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1430,"base":7},"right_expr":{"type":"numeric_atoms","value":1579,"base":7}}}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":5827,"base":7},"right_expr":{"type":"numeric_atoms","value":4084,"base":7}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":4758,"base":7},"right_expr":{"type":"numeric_atoms","value":2928,"base":7}}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":7504,"base":7},"right_expr":{"type":"numeric_atoms","value":7084,"base":7}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":4315,"base":7},"right_expr":{"type":"numeric_atoms","value":1221,"base":7}}}}},"used_operators":["0KMCeP1Jsh","OKKcZfAt5B","Ph9nP6C5qx","Uaa54Peajs","nCS4ZIUYfx","18saOjeKKm","eewbuw0ToL","vXNesLlMH1","UMwdvZNt44","jBncVCNhdl","8INZBEW696","nEsXyWgiOK","KbjG8mgYpV","8cLx32lpNA"],"dependent_operators":["jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd"],"result":"≴∭⊉21544","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=8456","layer":4},{"info":"compute unary expreesion, input=8456, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"number node, value=1208","layer":4},{"info":"number node, value=3531","layer":4},{"info":"compute binary expreesion, left_input=1208, right_input=3531, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=2323","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2323, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1850","layer":2},{"info":"number node, value=1430","layer":4},{"info":"number node, value=1579","layer":4},{"info":"compute binary expreesion, left_input=1430, right_input=1579, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-139","layer":3},{"info":"compute unary expreesion, input=-139, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=1850, right_input=0, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-2383","layer":1},{"info":"number node, value=5827","layer":4},{"info":"number node, value=4084","layer":4},{"info":"compute binary expreesion, left_input=5827, right_input=4084, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"number node, value=4758","layer":4},{"info":"number node, value=2928","layer":4},{"info":"compute binary expreesion, left_input=4758, right_input=2928, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=0, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=-70","layer":2},{"info":"number node, value=7504","layer":4},{"info":"number node, value=7084","layer":4},{"info":"compute binary expreesion, left_input=7504, right_input=7084, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-128110","layer":3},{"info":"number node, value=4315","layer":4},{"info":"number node, value=1221","layer":4},{"info":"compute binary expreesion, left_input=4315, right_input=1221, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-1221","layer":3},{"info":"compute binary expreesion, left_input=-128110, right_input=-1221, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":2},{"info":"compute binary expreesion, left_input=-70, right_input=-174, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":1},{"info":"compute binary expreesion, left_input=-2383, right_input=1500, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=5422","layer":0}],"base":7,"result_base":7,"text":"((∂≴∭⊉33440)≧⫂∧(≴∭⊉3344⨳⩥⨓≴∭⊉13203))≝⊿(⇠(≴∭⊉4112⨰≴∭⊉4414))≨((≴∭⊉22663⋭≵≴∭⊉14623)⇡⇂(≴∭⊉16605≀⩗∶≴∭⊉11352)≄⊠(≴∭⊉30610∠↢≴∭⊉26440)⨻⩈⩔≴∭⊉15403∌≴∭⊉3363)=≴∭⊉21544","reverse_text":"≴∭⊉21544=((∂≴∭⊉33440)≧⫂∧(≴∭⊉3344⨳⩥⨓≴∭⊉13203))≝⊿(⇠(≴∭⊉4112⨰≴∭⊉4414))≨((≴∭⊉22663⋭≵≴∭⊉14623)⇡⇂(≴∭⊉16605≀⩗∶≴∭⊉11352)≄⊠(≴∭⊉30610∠↢≴∭⊉26440)⨻⩈⩔≴∭⊉15403∌≴∭⊉3363)","cot":[{"info":"∂≴∭⊉33440=NaN","layer":3},{"info":"≴∭⊉3344⨳⩥⨓≴∭⊉13203=≴∭⊉6526","layer":3},{"info":"NaN≧⫂∧≴∭⊉6526=≴∭⊉5252","layer":2},{"info":"≴∭⊉4112⨰≴∭⊉4414=≴∭⊉-256","layer":3},{"info":"⇠≴∭⊉-256=≴∭⊉0","layer":2},{"info":"≴∭⊉5252≝⊿≴∭⊉0=≴∭⊉-6643","layer":1},{"info":"≴∭⊉22663⋭≵≴∭⊉14623=≴∭⊉124","layer":3},{"info":"≴∭⊉16605≀⩗∶≴∭⊉11352=≴∭⊉0","layer":3},{"info":"≴∭⊉124⇡⇂≴∭⊉0=≴∭⊉-130","layer":2},{"info":"≴∭⊉30610∠↢≴∭⊉26440=≴∭⊉-1042333","layer":3},{"info":"≴∭⊉15403∌≴∭⊉3363=≴∭⊉-3363","layer":3},{"info":"≴∭⊉-1042333⨻⩈⩔≴∭⊉-3363=≴∭⊉-336","layer":2},{"info":"≴∭⊉-130≄⊠≴∭⊉-336=≴∭⊉4242","layer":1},{"info":"≴∭⊉-6643≨≴∭⊉4242=≴∭⊉21544","layer":0}]}
+{"id":942,"expression_no_base_symbol":"(↣≠⋷(⨙⪌$3532$))≝⊿($1573$↞⋁$1891$+$1596$⩺⪪$3030$)⪊≅","expression":"(↣≠⋷(⨙⪌≴∭⊉13204))≝⊿(≴∭⊉4405↞⋁≴∭⊉5341+≴∭⊉4440⩺⪪≴∭⊉11556)⪊≅","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":754655,"operation_count":7,"complexity_ratio":107807.85714285714,"tree":{"type":"unary","operator":"⪊≅","unary_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"numeric_atoms","value":3532,"base":7}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":1573,"base":7},"right_expr":{"type":"numeric_atoms","value":1891,"base":7}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":1596,"base":7},"right_expr":{"type":"numeric_atoms","value":3030,"base":7}}}}},"used_operators":["bjFbhXSADs","OKKcZfAt5B","Asc51vEJeQ","vEGLkm4Z2k","W4YGzv6Whe","RqrPlJkxDo","uvdQJvN4PV"],"dependent_operators":["COABgblf1C","JLbD19bQDL","nCS4ZIUYfx","12rbrZMWeM","XhwjNDsVaA","AHs5Up7iyr","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=3532","layer":4},{"info":"compute unary expreesion, input=3532, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":3},{"info":"compute unary expreesion, input=868, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"number node, value=1573","layer":4},{"info":"number node, value=1891","layer":4},{"info":"compute binary expreesion, left_input=1573, right_input=1891, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"number node, value=1596","layer":4},{"info":"number node, value=3030","layer":4},{"info":"compute binary expreesion, left_input=1596, right_input=3030, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1818, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = bjFbhXSADs, unary_op_definition = 'a⪊≅ = { (377⪠⩆⊳) , if (a⊭↱876)>=867 ; (a⨳⩥⨓a) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(↣≠⋷(⨙⪌≴∭⊉13204))≝⊿(≴∭⊉4405↞⋁≴∭⊉5341+≴∭⊉4440⩺⪪≴∭⊉11556)⪊≅=NaN","reverse_text":"NaN=(↣≠⋷(⨙⪌≴∭⊉13204))≝⊿(≴∭⊉4405↞⋁≴∭⊉5341+≴∭⊉4440⩺⪪≴∭⊉11556)⪊≅","cot":[{"info":"⨙⪌≴∭⊉13204=≴∭⊉2350","layer":3},{"info":"↣≠⋷≴∭⊉2350=NaN","layer":2},{"info":"≴∭⊉4405↞⋁≴∭⊉5341=NaN","layer":3},{"info":"≴∭⊉4440⩺⪪≴∭⊉11556=≴∭⊉-5205","layer":3},{"info":"NaN+≴∭⊉-5205=NaN","layer":2},{"info":"NaN≝⊿NaN=NaN","layer":1},{"info":"NaN⪊≅=NaN","layer":0}]}
+{"id":943,"expression_no_base_symbol":"(($6141$⋭≵$2626$)⨪↰⇹$2120$⊝⪿⪼$2751$)⪥(($8671$⫚↹⊑$4531$)↱$2009$∑⇟⊟$3711$)⪒($1331$∽$2014$)↡⊰⫅(≇⪴$6399$)⫌⩉⩟(⋣$1064$⩦$2975$)","expression":"((≴∭⊉23622⋭≵≴∭⊉10441)⨪↰⇹≴∭⊉6116⊝⪿⪼≴∭⊉11010)⪥((≴∭⊉34165⫚↹⊑≴∭⊉16132)↱≴∭⊉5600∑⇟⊟≴∭⊉13551)⪒(≴∭⊉3611∽≴∭⊉5605)↡⊰⫅(≇⪴≴∭⊉24441)⫌⩉⩟(⋣≴∭⊉3050⩦≴∭⊉11450)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3583159,"operation_count":14,"complexity_ratio":255939.92857142858,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":6141,"base":7},"right_expr":{"type":"numeric_atoms","value":2626,"base":7}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":2120,"base":7},"right_expr":{"type":"numeric_atoms","value":2751,"base":7}}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":8671,"base":7},"right_expr":{"type":"numeric_atoms","value":4531,"base":7}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2009,"base":7},"right_expr":{"type":"numeric_atoms","value":3711,"base":7}}}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":1331,"base":7},"right_expr":{"type":"numeric_atoms","value":2014,"base":7}},"right_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"numeric_atoms","value":6399,"base":7}}},"right_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":1064,"base":7},"right_expr":{"type":"numeric_atoms","value":2975,"base":7}}}}},"used_operators":["f6k1SAg4EE","QbnwKVWMIQ","tmPS8pqC7x","jBncVCNhdl","3Oe9XWJUTD","SR5kFfdi6N","dfKe02y8D2","U7g4x0WXJJ","XIIwhv8d0m","VCtxkLNOzz","y4ImoPnbV5","zoVPnxeHJ3","zQWRhDnn8F","0kmYd0q39Y"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","rJVOvQCfKK","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","NTOWxs364D","QMFrweE19q","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q"],"result":"≴∭⊉-20125","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6141","layer":4},{"info":"number node, value=2626","layer":4},{"info":"compute binary expreesion, left_input=6141, right_input=2626, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"number node, value=2120","layer":4},{"info":"number node, value=2751","layer":4},{"info":"compute binary expreesion, left_input=2120, right_input=2751, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=41732","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=41732, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=67","layer":2},{"info":"number node, value=8671","layer":4},{"info":"number node, value=4531","layer":4},{"info":"compute binary expreesion, left_input=8671, right_input=4531, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"number node, value=2009","layer":4},{"info":"number node, value=3711","layer":4},{"info":"compute binary expreesion, left_input=2009, right_input=3711, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=nan, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=4920","layer":1},{"info":"number node, value=1331","layer":4},{"info":"number node, value=2014","layer":4},{"info":"compute binary expreesion, left_input=1331, right_input=2014, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-12519","layer":3},{"info":"number node, value=6399","layer":4},{"info":"compute unary expreesion, input=6399, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-17857","layer":3},{"info":"compute binary expreesion, left_input=-12519, right_input=-17857, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=nan","layer":2},{"info":"number node, value=1064","layer":4},{"info":"number node, value=2975","layer":4},{"info":"compute binary expreesion, left_input=1064, right_input=2975, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=2128","layer":3},{"info":"compute unary expreesion, input=2128, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-625537","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-625537, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":1},{"info":"compute binary expreesion, left_input=4920, right_input=-50, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4870","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉23622⋭≵≴∭⊉10441)⨪↰⇹≴∭⊉6116⊝⪿⪼≴∭⊉11010)⪥((≴∭⊉34165⫚↹⊑≴∭⊉16132)↱≴∭⊉5600∑⇟⊟≴∭⊉13551)⪒(≴∭⊉3611∽≴∭⊉5605)↡⊰⫅(≇⪴≴∭⊉24441)⫌⩉⩟(⋣≴∭⊉3050⩦≴∭⊉11450)=≴∭⊉-20125","reverse_text":"≴∭⊉-20125=((≴∭⊉23622⋭≵≴∭⊉10441)⨪↰⇹≴∭⊉6116⊝⪿⪼≴∭⊉11010)⪥((≴∭⊉34165⫚↹⊑≴∭⊉16132)↱≴∭⊉5600∑⇟⊟≴∭⊉13551)⪒(≴∭⊉3611∽≴∭⊉5605)↡⊰⫅(≇⪴≴∭⊉24441)⫌⩉⩟(⋣≴∭⊉3050⩦≴∭⊉11450)","cot":[{"info":"≴∭⊉23622⋭≵≴∭⊉10441=≴∭⊉124","layer":3},{"info":"≴∭⊉6116⊝⪿⪼≴∭⊉11010=≴∭⊉232445","layer":3},{"info":"≴∭⊉124⨪↰⇹≴∭⊉232445=≴∭⊉124","layer":2},{"info":"≴∭⊉34165⫚↹⊑≴∭⊉16132=≴∭⊉-1206","layer":3},{"info":"≴∭⊉5600∑⇟⊟≴∭⊉13551=NaN","layer":3},{"info":"≴∭⊉-1206↱NaN=NaN","layer":2},{"info":"≴∭⊉124⪥NaN=≴∭⊉20226","layer":1},{"info":"≴∭⊉3611∽≴∭⊉5605=≴∭⊉-51333","layer":3},{"info":"≇⪴≴∭⊉24441=≴∭⊉-103030","layer":3},{"info":"≴∭⊉-51333↡⊰⫅≴∭⊉-103030=NaN","layer":2},{"info":"≴∭⊉3050⩦≴∭⊉11450=≴∭⊉6130","layer":3},{"info":"⋣≴∭⊉6130=≴∭⊉-5213503","layer":2},{"info":"NaN⫌⩉⩟≴∭⊉-5213503=≴∭⊉-101","layer":1},{"info":"≴∭⊉20226⪒≴∭⊉-101=≴∭⊉-20125","layer":0}]}
+{"id":944,"expression_no_base_symbol":"((↔($6365$⨟⋌⩍$1051$))⫳≱↱(≤/($5529$⫃⨇$6489$)))⊘","expression":"((↔(≴∭⊉24362⨟⋌⩍≴∭⊉3031))⫳≱↱(≤/(≴∭⊉22056⫃⨇≴∭⊉24630)))⊘","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":367,"operation_count":6,"complexity_ratio":61.166666666666664,"tree":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":6365,"base":7},"right_expr":{"type":"numeric_atoms","value":1051,"base":7}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":5529,"base":7},"right_expr":{"type":"numeric_atoms","value":6489,"base":7}}}}},"used_operators":["gu96TGCTMs","ZvLB05nZmT","ruOEQAzv1W","rGHVDoGpnC","eLAdDNolq6","09Ly4LVMIf"],"dependent_operators":["XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","Tcnh7f0tEr","rysDP5nf3Z","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6365","layer":4},{"info":"number node, value=1051","layer":4},{"info":"compute binary expreesion, left_input=6365, right_input=1051, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":2},{"info":"number node, value=5529","layer":4},{"info":"number node, value=6489","layer":4},{"info":"compute binary expreesion, left_input=5529, right_input=6489, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-25988","layer":3},{"info":"compute unary expreesion, input=-25988, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=26472","layer":2},{"info":"compute binary expreesion, left_input=-134, right_input=26472, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":1},{"info":"compute unary expreesion, input=-204, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":0}],"base":7,"result_base":7,"text":"((↔(≴∭⊉24362⨟⋌⩍≴∭⊉3031))⫳≱↱(≤/(≴∭⊉22056⫃⨇≴∭⊉24630)))⊘=≴∭⊉0","reverse_text":"≴∭⊉0=((↔(≴∭⊉24362⨟⋌⩍≴∭⊉3031))⫳≱↱(≤/(≴∭⊉22056⫃⨇≴∭⊉24630)))⊘","cot":[{"info":"≴∭⊉24362⨟⋌⩍≴∭⊉3031=NaN","layer":3},{"info":"↔NaN=≴∭⊉-251","layer":2},{"info":"≴∭⊉22056⫃⨇≴∭⊉24630=≴∭⊉-135524","layer":3},{"info":"≤/≴∭⊉-135524=≴∭⊉140115","layer":2},{"info":"≴∭⊉-251⫳≱↱≴∭⊉140115=≴∭⊉-411","layer":1},{"info":"≴∭⊉-411⊘=≴∭⊉0","layer":0}]}
+{"id":945,"expression_no_base_symbol":"($1088$↬$1057$⪇≇⋚$4587$∋$2518$⋅⇍($1854$⫒⫫$2041$+$4016$⫗⊷⫓$1322$))⇤((∤↝$1210$⩌⋺$1489$)⫲≸⪮(⋼∭⪍(⇖$1659$)))","expression":"(≴∭⊉3113↬≴∭⊉3040⪇≇⋚≴∭⊉16242∋≴∭⊉10225⋅⇍(≴∭⊉5256⫒⫫≴∭⊉5644+≴∭⊉14465⫗⊷⫓≴∭⊉3566))⇤((∤↝≴∭⊉3346⩌⋺≴∭⊉4225)⫲≸⪮(⋼∭⪍(⇖≴∭⊉4560)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1029492,"operation_count":13,"complexity_ratio":79191.69230769231,"tree":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1088,"base":7},"right_expr":{"type":"numeric_atoms","value":1057,"base":7}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":4587,"base":7},"right_expr":{"type":"numeric_atoms","value":2518,"base":7}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":1854,"base":7},"right_expr":{"type":"numeric_atoms","value":2041,"base":7}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":4016,"base":7},"right_expr":{"type":"numeric_atoms","value":1322,"base":7}}}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":1210,"base":7},"right_expr":{"type":"numeric_atoms","value":1489,"base":7}}},"right_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"numeric_atoms","value":1659,"base":7}}}}},"used_operators":["YSKBFp38Pu","AdZkA7nFnk","3sJ7IOPOlU","B5M0gjZbta","ukq6epAj5P","W4YGzv6Whe","6Ko8hGgeMq","zashukvMKz","P3lXMJvFrc","3UMq87Qwqg","g7Hmc5v1ko","DbCuESL50I","tfWHHpNKUN"],"dependent_operators":["rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","rGHVDoGpnC","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","2DQ55sFlQl"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1088","layer":4},{"info":"number node, value=1057","layer":4},{"info":"compute binary expreesion, left_input=1088, right_input=1057, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=4587","layer":4},{"info":"number node, value=2518","layer":4},{"info":"compute binary expreesion, left_input=4587, right_input=2518, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=5402148","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5402148, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=nan","layer":2},{"info":"number node, value=1854","layer":4},{"info":"number node, value=2041","layer":4},{"info":"compute binary expreesion, left_input=1854, right_input=2041, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"number node, value=4016","layer":4},{"info":"number node, value=1322","layer":4},{"info":"compute binary expreesion, left_input=4016, right_input=1322, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-134, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=nan","layer":1},{"info":"number node, value=1210","layer":4},{"info":"number node, value=1489","layer":4},{"info":"compute binary expreesion, left_input=1210, right_input=1489, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-2820","layer":3},{"info":"compute unary expreesion, input=-2820, op_id = 3UMq87Qwqg, unary_op_definition = '∤↝a = { a , if ((a⊬⨰244)<=56 or (⫇a)>308 or (a⨐673)<=60) ; (((↩⪖a)⩼⇪↪(57∝206))↺(↩(⊲⪭a))) , else }', output=-2820","layer":2},{"info":"number node, value=1659","layer":4},{"info":"compute unary expreesion, input=1659, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=1100","layer":2},{"info":"compute binary expreesion, left_input=-2820, right_input=1100, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=-2820","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-2820, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉3113↬≴∭⊉3040⪇≇⋚≴∭⊉16242∋≴∭⊉10225⋅⇍(≴∭⊉5256⫒⫫≴∭⊉5644+≴∭⊉14465⫗⊷⫓≴∭⊉3566))⇤((∤↝≴∭⊉3346⩌⋺≴∭⊉4225)⫲≸⪮(⋼∭⪍(⇖≴∭⊉4560)))=NaN","reverse_text":"NaN=(≴∭⊉3113↬≴∭⊉3040⪇≇⋚≴∭⊉16242∋≴∭⊉10225⋅⇍(≴∭⊉5256⫒⫫≴∭⊉5644+≴∭⊉14465⫗⊷⫓≴∭⊉3566))⇤((∤↝≴∭⊉3346⩌⋺≴∭⊉4225)⫲≸⪮(⋼∭⪍(⇖≴∭⊉4560)))","cot":[{"info":"≴∭⊉3113↬≴∭⊉3040=NaN","layer":3},{"info":"≴∭⊉16242∋≴∭⊉10225=≴∭⊉63626463","layer":3},{"info":"NaN⪇≇⋚≴∭⊉63626463=NaN","layer":2},{"info":"≴∭⊉5256⫒⫫≴∭⊉5644=NaN","layer":3},{"info":"≴∭⊉14465⫗⊷⫓≴∭⊉3566=≴∭⊉-251","layer":3},{"info":"NaN+≴∭⊉-251=NaN","layer":2},{"info":"NaN⋅⇍NaN=NaN","layer":1},{"info":"≴∭⊉3346⩌⋺≴∭⊉4225=≴∭⊉-11136","layer":3},{"info":"∤↝≴∭⊉-11136=≴∭⊉-11136","layer":2},{"info":"⇖≴∭⊉4560=≴∭⊉316","layer":3},{"info":"⋼∭⪍≴∭⊉316=≴∭⊉3131","layer":2},{"info":"≴∭⊉-11136⫲≸⪮≴∭⊉3131=≴∭⊉-11136","layer":1},{"info":"NaN⇤≴∭⊉-11136=NaN","layer":0}]}
+{"id":946,"expression_no_base_symbol":"(∓⪦($2784$⨚⇆$1014$))⨻⩈⩔$3201$⪝$1643$→⨶⪴$5656$⫗⊷⫓$1584$+⇶⊼(($1225$⪔$3178$⋅⇍(↩$1812$))⫢⨠$6829$≨$2931$⋣⋖($3792$⪒$3735$))","expression":"(∓⪦(≴∭⊉11055⨚⇆≴∭⊉2646))⨻⩈⩔≴∭⊉12222⪝≴∭⊉4535→⨶⪴≴∭⊉22330⫗⊷⫓≴∭⊉4422+⇶⊼((≴∭⊉3400⪔≴∭⊉12160⋅⇍(↩≴∭⊉5166))⫢⨠≴∭⊉25624≨≴∭⊉11355⋣⋖(≴∭⊉14025⪒≴∭⊉13614))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":1256962,"operation_count":14,"complexity_ratio":89783.0,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":2784,"base":7},"right_expr":{"type":"numeric_atoms","value":1014,"base":7}}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":3201,"base":7},"right_expr":{"type":"numeric_atoms","value":1643,"base":7}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":5656,"base":7},"right_expr":{"type":"numeric_atoms","value":1584,"base":7}}}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":1225,"base":7},"right_expr":{"type":"numeric_atoms","value":3178,"base":7}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1812,"base":7}}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":6829,"base":7},"right_expr":{"type":"numeric_atoms","value":2931,"base":7}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3792,"base":7},"right_expr":{"type":"numeric_atoms","value":3735,"base":7}}}}},"used_operators":["TpPTUOHfaN","nEsXyWgiOK","D309nIvmXG","lwHaAYXP2r","bF6eod5Gvf","wicAB68Tmb","zashukvMKz","xlXykHWxX1","AdZkA7nFnk","GjBEYRfMaF","jLgFTUHLKL","J0M6qkBnIM","0KMCeP1Jsh","f6k1SAg4EE"],"dependent_operators":["AHs5Up7iyr","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","8w2t5hMYqp","9FxExcQeMw","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2784","layer":4},{"info":"number node, value=1014","layer":4},{"info":"compute binary expreesion, left_input=2784, right_input=1014, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=nan","layer":2},{"info":"number node, value=3201","layer":4},{"info":"number node, value=1643","layer":4},{"info":"compute binary expreesion, left_input=3201, right_input=1643, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-6631","layer":3},{"info":"number node, value=5656","layer":4},{"info":"number node, value=1584","layer":4},{"info":"compute binary expreesion, left_input=5656, right_input=1584, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=-6631, right_input=-134, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-13026","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-13026, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=nan","layer":1},{"info":"number node, value=1225","layer":4},{"info":"number node, value=3178","layer":4},{"info":"compute binary expreesion, left_input=1225, right_input=3178, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"number node, value=1812","layer":4},{"info":"compute unary expreesion, input=1812, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-11716","layer":3},{"info":"compute binary expreesion, left_input=450, right_input=-11716, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-1023","layer":2},{"info":"number node, value=6829","layer":4},{"info":"number node, value=2931","layer":4},{"info":"compute binary expreesion, left_input=6829, right_input=2931, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-65814","layer":3},{"info":"number node, value=3792","layer":4},{"info":"number node, value=3735","layer":4},{"info":"compute binary expreesion, left_input=3792, right_input=3735, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7527","layer":3},{"info":"compute binary expreesion, left_input=-65814, right_input=-7527, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=-527","layer":2},{"info":"compute binary expreesion, left_input=-1023, right_input=-527, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=11130","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=11130, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":0}],"base":7,"result_base":7,"text":"(∓⪦(≴∭⊉11055⨚⇆≴∭⊉2646))⨻⩈⩔≴∭⊉12222⪝≴∭⊉4535→⨶⪴≴∭⊉22330⫗⊷⫓≴∭⊉4422+⇶⊼((≴∭⊉3400⪔≴∭⊉12160⋅⇍(↩≴∭⊉5166))⫢⨠≴∭⊉25624≨≴∭⊉11355⋣⋖(≴∭⊉14025⪒≴∭⊉13614))=NaN","reverse_text":"NaN=(∓⪦(≴∭⊉11055⨚⇆≴∭⊉2646))⨻⩈⩔≴∭⊉12222⪝≴∭⊉4535→⨶⪴≴∭⊉22330⫗⊷⫓≴∭⊉4422+⇶⊼((≴∭⊉3400⪔≴∭⊉12160⋅⇍(↩≴∭⊉5166))⫢⨠≴∭⊉25624≨≴∭⊉11355⋣⋖(≴∭⊉14025⪒≴∭⊉13614))","cot":[{"info":"≴∭⊉11055⨚⇆≴∭⊉2646=NaN","layer":3},{"info":"∓⪦NaN=NaN","layer":2},{"info":"≴∭⊉12222⪝≴∭⊉4535=≴∭⊉-25222","layer":3},{"info":"≴∭⊉22330⫗⊷⫓≴∭⊉4422=≴∭⊉-251","layer":3},{"info":"≴∭⊉-25222→⨶⪴≴∭⊉-251=≴∭⊉-52656","layer":2},{"info":"NaN⨻⩈⩔≴∭⊉-52656=NaN","layer":1},{"info":"≴∭⊉3400⪔≴∭⊉12160=≴∭⊉1212","layer":3},{"info":"↩≴∭⊉5166=≴∭⊉-46105","layer":3},{"info":"≴∭⊉1212⋅⇍≴∭⊉-46105=≴∭⊉-2661","layer":2},{"info":"≴∭⊉25624≨≴∭⊉11355=≴∭⊉-362610","layer":3},{"info":"≴∭⊉14025⪒≴∭⊉13614=≴∭⊉-30642","layer":3},{"info":"≴∭⊉-362610⋣⋖≴∭⊉-30642=≴∭⊉-1352","layer":2},{"info":"≴∭⊉-2661⫢⨠≴∭⊉-1352=≴∭⊉44310","layer":1},{"info":"NaN+⇶⊼≴∭⊉44310=NaN","layer":0}]}
+{"id":947,"expression_no_base_symbol":"($2387$⪛$4549$/(⩩$6383$))⫘((∂$1322$)↱(≀↧⇸$3340$))⨐⩸⫘(⩩(⨴⫝$1952$))⋕⪉⪜(⨵($1350$⊱⇼⊻$1901$))","expression":"(≴∭⊉6650⪛≴∭⊉16156/(⩩≴∭⊉24416))⫘((∂≴∭⊉3566)↱(≀↧⇸≴∭⊉12511))⨐⩸⫘(⩩(⨴⫝≴∭⊉5456))⋕⪉⪜(⨵(≴∭⊉3636⊱⇼⊻≴∭⊉5354))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":53130,"operation_count":13,"complexity_ratio":4086.923076923077,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2387,"base":7},"right_expr":{"type":"numeric_atoms","value":4549,"base":7}},"right_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"numeric_atoms","value":6383,"base":7}}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1322,"base":7}},"right_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"numeric_atoms","value":3340,"base":7}}}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"numeric_atoms","value":1952,"base":7}}},"right_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":1350,"base":7},"right_expr":{"type":"numeric_atoms","value":1901,"base":7}}}}},"used_operators":["fu6greOZ01","48vC8HMD2b","XhwjNDsVaA","uFcxV4UQCh","kMhfGuqI2H","SR5kFfdi6N","Uaa54Peajs","ljTHtUsqzn","z6LnFrNh4i","SVb2v531z1","Tl3Y52tvF8","FyVja0WsTP"],"dependent_operators":["3ViojmjbAp","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","XPYlsWDdGa","23Mk6UjR3U","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf"],"result":"≴∭⊉-414","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2387","layer":4},{"info":"number node, value=4549","layer":4},{"info":"compute binary expreesion, left_input=2387, right_input=4549, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2387","layer":3},{"info":"number node, value=6383","layer":4},{"info":"compute unary expreesion, input=6383, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2387, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1322","layer":4},{"info":"compute unary expreesion, input=1322, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"number node, value=3340","layer":4},{"info":"compute unary expreesion, input=3340, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=6680","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6680, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-19518","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-19518, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=nan","layer":1},{"info":"number node, value=1952","layer":4},{"info":"compute unary expreesion, input=1952, op_id = SVb2v531z1, unary_op_definition = '⨴⫝a = { ((⪨⨬(⇋↷a))≬⇓((a⋅⇍a)⨑≵⋬(∡178))) , if (a⪇≇⋚963)!=62 ; (((541⋛107)⩼⇪↪(⪭⩑⪱a))⋻⩜⩜((a⊕∕a)∼(459⨽6))) , else }', output=2828198","layer":3},{"info":"compute unary expreesion, input=2828198, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":2},{"info":"number node, value=1350","layer":4},{"info":"number node, value=1901","layer":4},{"info":"compute binary expreesion, left_input=1350, right_input=1901, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"compute unary expreesion, input=434, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=-4681","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-4681, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=204, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=-207","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉6650⪛≴∭⊉16156/(⩩≴∭⊉24416))⫘((∂≴∭⊉3566)↱(≀↧⇸≴∭⊉12511))⨐⩸⫘(⩩(⨴⫝≴∭⊉5456))⋕⪉⪜(⨵(≴∭⊉3636⊱⇼⊻≴∭⊉5354))=≴∭⊉-414","reverse_text":"≴∭⊉-414=(≴∭⊉6650⪛≴∭⊉16156/(⩩≴∭⊉24416))⫘((∂≴∭⊉3566)↱(≀↧⇸≴∭⊉12511))⨐⩸⫘(⩩(⨴⫝≴∭⊉5456))⋕⪉⪜(⨵(≴∭⊉3636⊱⇼⊻≴∭⊉5354))","cot":[{"info":"≴∭⊉6650⪛≴∭⊉16156=≴∭��6650","layer":3},{"info":"⩩≴∭⊉24416=NaN","layer":3},{"info":"≴∭⊉6650/NaN=NaN","layer":2},{"info":"∂≴∭⊉3566=NaN","layer":3},{"info":"≀↧⇸≴∭⊉12511=≴∭⊉25322","layer":3},{"info":"NaN↱≴∭⊉25322=≴∭⊉-110622","layer":2},{"info":"NaN⫘≴∭⊉-110622=NaN","layer":1},{"info":"⨴⫝≴∭⊉5456=≴∭⊉33016322","layer":3},{"info":"⩩≴∭⊉33016322=NaN","layer":2},{"info":"≴∭⊉3636⊱⇼⊻≴∭⊉5354=≴∭⊉1160","layer":3},{"info":"⨵≴∭⊉1160=≴∭⊉-16435","layer":2},{"info":"NaN⋕⪉⪜≴∭⊉-16435=≴∭⊉411","layer":1},{"info":"NaN⨐⩸⫘≴∭⊉411=≴∭⊉-414","layer":0}]}
+{"id":948,"expression_no_base_symbol":"($1184$⫗⊷⫓$1666$⨐($4622$⋥⋵⩄$1806$)⋝⋈⪟((⇤←$2262$)↙($2856$∸)))∣($1341$⨑⩅≇$2336$⫔⩽⩺$7369$⪬$1799$)⩼⇪↪(↑($7510$⇤$1779$))","expression":"(≴∭⊉3311⫗⊷⫓≴∭⊉4600⨐(≴∭⊉16322⋥⋵⩄≴∭⊉5160)⋝⋈⪟((⇤←≴∭⊉6411)↙(≴∭⊉11220∸)))∣(≴∭⊉3624⨑⩅≇≴∭⊉6545⫔⩽⩺≴∭⊉30325⪬≴∭⊉5150)⩼⇪↪(↑(≴∭⊉30616⇤≴∭⊉5121))","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":1297112,"operation_count":14,"complexity_ratio":92650.85714285714,"tree":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":1184,"base":7},"right_expr":{"type":"numeric_atoms","value":1666,"base":7}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":4622,"base":7},"right_expr":{"type":"numeric_atoms","value":1806,"base":7}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"numeric_atoms","value":2262,"base":7}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":2856,"base":7}}}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":1341,"base":7},"right_expr":{"type":"numeric_atoms","value":2336,"base":7}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":7369,"base":7},"right_expr":{"type":"numeric_atoms","value":1799,"base":7}}},"right_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":7510,"base":7},"right_expr":{"type":"numeric_atoms","value":1779,"base":7}}}}},"used_operators":["PPChnnnBFF","2DDjHMKMc0","Noe24qw2ks","zashukvMKz","7t3wd0Fuz7","yyfyN0ffXY","jfAgQ2OQeM","o20kRiQErp","ocnLzx9CaJ","i9eR4S00cU","h92wMvzauj","Ez1Nq5fNfI","tR7O2zTn5j","YSKBFp38Pu"],"dependent_operators":["eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","tmPS8pqC7x","DpFCA1CohY","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","tmPS8pqC7x","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","Tw270M8GLb","fu6greOZ01","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q"],"result":"≴∭⊉532","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1184","layer":4},{"info":"number node, value=1666","layer":4},{"info":"compute binary expreesion, left_input=1184, right_input=1666, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"number node, value=4622","layer":4},{"info":"number node, value=1806","layer":4},{"info":"compute binary expreesion, left_input=4622, right_input=1806, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=113, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=268","layer":2},{"info":"number node, value=2262","layer":4},{"info":"compute unary expreesion, input=2262, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=-9944","layer":3},{"info":"number node, value=2856","layer":4},{"info":"compute unary expreesion, input=2856, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute binary expreesion, left_input=-9944, right_input=177, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-9944","layer":2},{"info":"compute binary expreesion, left_input=268, right_input=-9944, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=268","layer":1},{"info":"number node, value=1341","layer":4},{"info":"number node, value=2336","layer":4},{"info":"compute binary expreesion, left_input=1341, right_input=2336, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=-4023","layer":3},{"info":"number node, value=7369","layer":4},{"info":"number node, value=1799","layer":4},{"info":"compute binary expreesion, left_input=7369, right_input=1799, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=-4023, right_input=1234, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":2},{"info":"number node, value=7510","layer":4},{"info":"number node, value=1779","layer":4},{"info":"compute binary expreesion, left_input=7510, right_input=1779, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-43597","layer":3},{"info":"compute unary expreesion, input=-43597, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=192, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=268, right_input=nan, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=268","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉3311⫗⊷⫓≴∭⊉4600⨐(≴∭⊉16322⋥⋵⩄≴∭⊉5160)⋝⋈⪟((⇤←≴∭⊉6411)↙(≴∭⊉11220∸)))∣(≴∭⊉3624⨑⩅≇≴∭⊉6545⫔⩽⩺≴∭⊉30325⪬≴∭⊉5150)⩼⇪↪(↑(≴∭⊉30616⇤≴∭⊉5121))=≴∭⊉532","reverse_text":"≴∭⊉532=(≴∭⊉3311⫗⊷⫓≴∭⊉4600⨐(≴∭⊉16322⋥⋵⩄≴∭⊉5160)⋝⋈⪟((⇤←≴∭⊉6411)↙(≴∭⊉11220∸)))∣(≴∭⊉3624⨑⩅≇≴∭⊉6545⫔⩽⩺≴∭⊉30325⪬≴∭⊉5150)⩼⇪↪(↑(≴∭⊉30616⇤≴∭⊉5121))","cot":[{"info":"≴∭⊉3311⫗⊷⫓≴∭⊉4600=≴∭⊉-251","layer":3},{"info":"≴∭⊉16322⋥⋵⩄≴∭⊉5160=≴∭⊉221","layer":3},{"info":"≴∭⊉-251⨐≴∭⊉221=≴∭⊉532","layer":2},{"info":"⇤←≴∭⊉6411=≴∭⊉-40664","layer":3},{"info":"≴∭⊉11220∸=≴∭⊉342","layer":3},{"info":"≴∭⊉-40664↙≴∭⊉342=≴∭⊉-40664","layer":2},{"info":"≴∭⊉532⋝⋈⪟≴∭⊉-40664=≴∭⊉532","layer":1},{"info":"≴∭⊉3624⨑⩅≇≴∭⊉6545=≴∭⊉-14505","layer":3},{"info":"≴∭⊉30325⪬≴∭⊉5150=≴∭⊉3412","layer":3},{"info":"≴∭⊉-14505⫔⩽⩺≴∭⊉3412=NaN","layer":2},{"info":"≴∭⊉30616⇤≴∭⊉5121=≴∭⊉-241051","layer":3},{"info":"↑≴∭⊉-241051=≴∭⊉363","layer":2},{"info":"NaN⩼⇪↪≴∭⊉363=NaN","layer":1},{"info":"≴∭⊉532∣NaN=≴∭⊉532","layer":0}]}
+{"id":949,"expression_no_base_symbol":"⩷($1155$∛$2282$⋣⋖(≅≯⇸$2541$))⋛($3750$⪭≯$3520$⨎$3456$↬$1645$)","expression":"⩷(≴∭⊉3240∛≴∭⊉6440⋣⋖(≅≯⇸≴∭⊉10260))⋛(≴∭⊉13635⪭≯≴∭⊉13156⨎≴∭⊉13035↬≴∭⊉4540)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":372,"operation_count":8,"complexity_ratio":46.5,"tree":{"type":"unary","operator":"⩷","unary_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":1155,"base":7},"right_expr":{"type":"numeric_atoms","value":2282,"base":7}},"right_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"numeric_atoms","value":2541,"base":7}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":3750,"base":7},"right_expr":{"type":"numeric_atoms","value":3520,"base":7}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":3456,"base":7},"right_expr":{"type":"numeric_atoms","value":1645,"base":7}}}}},"used_operators":["1h0rLqGiFr","YbUVn0Rbpy","J0M6qkBnIM","w2537kitQq","apS25hmuAe","rJVOvQCfKK","XAx5wpdLa6","B5M0gjZbta"],"dependent_operators":["14qkJME0vr","g55IO6H4Gj","7j4O788W3g","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","EBcxylXtPf","QMFrweE19q","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1155","layer":4},{"info":"number node, value=2282","layer":4},{"info":"compute binary expreesion, left_input=1155, right_input=2282, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"number node, value=2541","layer":4},{"info":"compute unary expreesion, input=2541, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=17841","layer":3},{"info":"compute binary expreesion, left_input=-670, right_input=17841, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=-670","layer":2},{"info":"number node, value=3750","layer":4},{"info":"number node, value=3520","layer":4},{"info":"compute binary expreesion, left_input=3750, right_input=3520, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"number node, value=3456","layer":4},{"info":"number node, value=1645","layer":4},{"info":"compute binary expreesion, left_input=3456, right_input=1645, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-670, right_input=nan, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"⩷(≴∭⊉3240∛≴∭⊉6440⋣⋖(≅≯⇸≴∭⊉10260))⋛(≴∭⊉13635⪭≯≴∭⊉13156⨎≴∭⊉13035↬≴∭⊉4540)=NaN","reverse_text":"NaN=⩷(≴∭⊉3240∛≴∭⊉6440⋣⋖(≅≯⇸≴∭⊉10260))⋛(≴∭⊉13635⪭≯≴∭⊉13156⨎≴∭⊉13035↬≴∭⊉4540)","cot":[{"info":"≴∭⊉3240∛≴∭⊉6440=≴∭⊉-1645","layer":3},{"info":"≅≯⇸≴∭⊉10260=≴∭⊉103005","layer":3},{"info":"≴∭⊉-1645⋣⋖≴∭⊉103005=≴∭⊉-1645","layer":2},{"info":"≴∭⊉13635⪭≯≴∭⊉13156=NaN","layer":3},{"info":"≴∭⊉13035↬≴∭⊉4540=NaN","layer":3},{"info":"NaN⨎NaN=NaN","layer":2},{"info":"≴∭⊉-1645⋛NaN=NaN","layer":1},{"info":"⩷NaN=NaN","layer":0}]}
+{"id":950,"expression_no_base_symbol":"≯(≛($2007$⨵⪆$1195$)≨($5320$⇼⇔∾$2631$))","expression":"≯(≛(≴∭⊉5565⨵⪆≴∭⊉3325)≨(≴∭⊉21340⇼⇔∾≴∭⊉10446))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":105,"operation_count":5,"complexity_ratio":21.0,"tree":{"type":"unary","operator":"≯","unary_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2007,"base":7},"right_expr":{"type":"numeric_atoms","value":1195,"base":7}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":5320,"base":7},"right_expr":{"type":"numeric_atoms","value":2631,"base":7}}}}},"used_operators":["keWfFq85dY","W7eaUhjymW","0KMCeP1Jsh","2DQ55sFlQl","tifHPKVTfV"],"dependent_operators":["g55IO6H4Gj","JLbD19bQDL","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2007","layer":4},{"info":"number node, value=1195","layer":4},{"info":"compute binary expreesion, left_input=2007, right_input=1195, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=5320","layer":4},{"info":"number node, value=2631","layer":4},{"info":"compute binary expreesion, left_input=5320, right_input=2631, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-2689","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-2689, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=876","layer":2},{"info":"compute unary expreesion, input=876, op_id = W7eaUhjymW, unary_op_definition = '≛a = { (((a+a)⊉≛↸(a⪠⩆⊳))⊭↱((a⪒a)⩚⊴⇥(a⋝⋈⪟a))) , if (a⫩⊇)>7 or a==273 ; (((a-a)⪒(a⪨≂a))⊉≛↸((a⨰a)⋝⋈⪟(a+a))) , else }', output=-10","layer":1},{"info":"compute unary expreesion, input=-10, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":0}],"base":7,"result_base":7,"text":"≯(≛(≴∭⊉5565⨵⪆≴∭⊉3325)≨(≴∭⊉21340⇼⇔∾≴∭⊉10446))=≴∭⊉0","reverse_text":"≴∭⊉0=≯(≛(≴∭⊉5565⨵⪆≴∭⊉3325)≨(≴∭⊉21340⇼⇔∾≴∭⊉10446))","cot":[{"info":"≴∭⊉5565⨵⪆≴∭⊉3325=≴∭⊉316","layer":3},{"info":"≴∭⊉21340⇼⇔∾≴∭⊉10446=≴∭⊉-10561","layer":3},{"info":"≴∭⊉316≨≴∭⊉-10561=≴∭⊉2361","layer":2},{"info":"≛≴∭⊉2361=≴∭⊉-13","layer":1},{"info":"≯≴∭⊉-13=≴∭⊉0","layer":0}]}
+{"id":951,"expression_no_base_symbol":"(($2112$⨚⇆$4804$)⪒⊣⊆(⋠∜$4257$)⊉↱≁((⨩∲⋌$4135$)+⪬∐($2116$⇍⊗$1759$)))⨐(($2768$↤⩊$3280$∙∹∝$2736$⫞⩸⩒$3470$)↳∿⪆((↞≼$3941$)⩵∡$3788$⇻⋧≁$5193$))","expression":"((≴∭⊉6105⨚⇆≴∭⊉20002)⪒⊣⊆(⋠∜≴∭⊉15261)⊉↱≁((⨩∲⋌≴∭⊉15025)+⪬∐(≴∭⊉6112⇍⊗≴∭⊉5062)))⨐((≴∭⊉11033↤⩊≴∭⊉12364∙∹∝≴∭⊉10656⫞⩸⩒≴∭⊉13055)↳∿⪆((↞≼≴∭⊉14330)⩵∡≴∭⊉14021⇻⋧≁≴∭⊉21066))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":22539,"operation_count":15,"complexity_ratio":1502.6,"tree":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":2112,"base":7},"right_expr":{"type":"numeric_atoms","value":4804,"base":7}},"right_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"numeric_atoms","value":4257,"base":7}}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"numeric_atoms","value":4135,"base":7}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":2116,"base":7},"right_expr":{"type":"numeric_atoms","value":1759,"base":7}}}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":2768,"base":7},"right_expr":{"type":"numeric_atoms","value":3280,"base":7}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":2736,"base":7},"right_expr":{"type":"numeric_atoms","value":3470,"base":7}}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"numeric_atoms","value":3941,"base":7}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":3788,"base":7},"right_expr":{"type":"numeric_atoms","value":5193,"base":7}}}}},"used_operators":["Noe24qw2ks","w2P8NbNXyL","eRqsBgTDFp","lwHaAYXP2r","ZJpFhNJr3x","2GS7woTJqF","aSik1wnThz","5uvYHDjeKN","Cw4SuJJGHO","HmxsFra2vL","13rbtpv6ld","XGcMNugi78","Y7wcNGrDQJ","DE7zCoGJt9","jCPkEVoL5K"],"dependent_operators":["u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","sdazOOVcIp","W4YGzv6Whe","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","g55IO6H4Gj","D4vGDi5EA2","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","NTOWxs364D","glklzrTFfD","tifHPKVTfV","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2112","layer":4},{"info":"number node, value=4804","layer":4},{"info":"compute binary expreesion, left_input=2112, right_input=4804, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":3},{"info":"number node, value=4257","layer":4},{"info":"compute unary expreesion, input=4257, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=19312","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=19312, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=nan","layer":2},{"info":"number node, value=4135","layer":4},{"info":"compute unary expreesion, input=4135, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-4658","layer":3},{"info":"number node, value=2116","layer":4},{"info":"number node, value=1759","layer":4},{"info":"compute binary expreesion, left_input=2116, right_input=1759, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"compute binary expreesion, left_input=-4658, right_input=-244, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=13974","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=13974, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=nan","layer":1},{"info":"number node, value=2768","layer":4},{"info":"number node, value=3280","layer":4},{"info":"compute binary expreesion, left_input=2768, right_input=3280, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":3},{"info":"number node, value=2736","layer":4},{"info":"number node, value=3470","layer":4},{"info":"compute binary expreesion, left_input=2736, right_input=3470, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=3470","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3470, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=nan","layer":2},{"info":"number node, value=3941","layer":4},{"info":"compute unary expreesion, input=3941, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=31114","layer":3},{"info":"number node, value=3788","layer":4},{"info":"number node, value=5193","layer":4},{"info":"compute binary expreesion, left_input=3788, right_input=5193, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=31114, right_input=-447, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-62796","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-62796, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉6105⨚⇆≴∭⊉20002)⪒⊣⊆(⋠∜≴∭⊉15261)⊉↱≁((⨩∲⋌≴∭⊉15025)+⪬∐(≴∭⊉6112⇍⊗≴∭⊉5062)))⨐((≴∭⊉11033↤⩊≴∭⊉12364∙∹∝≴∭⊉10656⫞⩸⩒≴∭⊉13055)↳∿⪆((↞≼≴∭⊉14330)⩵∡≴∭⊉14021⇻⋧≁≴∭⊉21066))=NaN","reverse_text":"NaN=((≴∭⊉6105⨚⇆≴∭⊉20002)⪒⊣⊆(⋠∜≴∭⊉15261)⊉↱≁((⨩∲⋌≴∭⊉15025)+⪬∐(≴∭⊉6112⇍⊗≴∭⊉5062)))⨐((≴∭⊉11033↤⩊≴∭⊉12364∙∹∝≴∭⊉10656⫞⩸⩒≴∭⊉13055)↳∿⪆((↞≼≴∭⊉14330)⩵∡≴∭⊉14021⇻⋧≁≴∭⊉21066))","cot":[{"info":"≴∭⊉6105⨚⇆≴∭⊉20002=NaN","layer":3},{"info":"⋠∜≴∭⊉15261=≴∭⊉110206","layer":3},{"info":"NaN⪒⊣⊆≴∭⊉110206=NaN","layer":2},{"info":"⨩∲⋌≴∭⊉15025=≴∭⊉-16403","layer":3},{"info":"≴∭⊉6112⇍⊗≴∭⊉5062=≴∭⊉-466","layer":3},{"info":"≴∭⊉-16403+⪬∐≴∭⊉-466=≴∭⊉55512","layer":2},{"info":"NaN⊉↱≁≴∭⊉55512=NaN","layer":1},{"info":"≴∭⊉11033↤⩊≴∭⊉12364=NaN","layer":3},{"info":"≴∭⊉10656⫞⩸⩒≴∭⊉13055=≴∭⊉13055","layer":3},{"info":"NaN∙∹∝≴∭⊉13055=NaN","layer":2},{"info":"↞≼≴∭⊉14330=≴∭⊉156466","layer":3},{"info":"≴∭⊉14021⇻⋧≁≴∭⊉21066=≴∭⊉-1206","layer":3},{"info":"≴∭⊉156466⩵∡≴∭⊉-1206=≴∭⊉-351036","layer":2},{"info":"NaN↳∿⪆≴∭⊉-351036=NaN","layer":1},{"info":"NaN⨐NaN=NaN","layer":0}]}
+{"id":952,"expression_no_base_symbol":"(($2720$≫≃)⊮⊟↴$1061$⫗⊷⫓$2209$⇤($6753$∊∟⩊$4166$≃($2290$⫸⊐$4186$)))≴⪞⇿($4756$∘$1121$⫲≸⪮($6952$⫸⇳$2221$)⩵∡((⊊≼∋$1748$)⇽⩪))","expression":"((≴∭⊉10634≫≃)⊮⊟↴≴∭⊉3044⫗⊷⫓≴∭⊉6304⇤(≴∭⊉25455∊∟⩊≴∭⊉15101≃(≴∭⊉6451⫸⊐≴∭⊉15130)))≴⪞⇿(≴∭⊉16603∘≴∭⊉3161⫲≸⪮(≴∭⊉26161⫸⇳≴∭⊉6322)⩵∡((⊊≼∋≴∭⊉5045)⇽⩪))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":1813277,"operation_count":14,"complexity_ratio":129519.78571428571,"tree":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":2720,"base":7}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":1061,"base":7},"right_expr":{"type":"numeric_atoms","value":2209,"base":7}}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":6753,"base":7},"right_expr":{"type":"numeric_atoms","value":4166,"base":7}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2290,"base":7},"right_expr":{"type":"numeric_atoms","value":4186,"base":7}}}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":4756,"base":7},"right_expr":{"type":"numeric_atoms","value":1121,"base":7}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":6952,"base":7},"right_expr":{"type":"numeric_atoms","value":2221,"base":7}}},"right_expr":{"type":"unary","operator":"⇽⩪","unary_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"numeric_atoms","value":1748,"base":7}}}}},"used_operators":["lvlrscuwVU","YSKBFp38Pu","QDVgd2eftb","X99M06cbEe","zashukvMKz","YbVcJGFEVW","ddLRYrp01A","mqXw5SEYmG","Y7wcNGrDQJ","P3lXMJvFrc","Z5m6OM72h2","gx7XJ7hdpj","FonBHBYJbU","FWz7pXsQhA"],"dependent_operators":["DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","NTOWxs364D","glklzrTFfD","tifHPKVTfV","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","eH2TOUuTDT","rysDP5nf3Z","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","W4YGzv6Whe","e1ybzncUwg","23Mk6UjR3U","tifHPKVTfV","g55IO6H4Gj","eewbuw0ToL","AF7qkfDlqP","B5M0gjZbta","jCPkEVoL5K"],"result":"Inf","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2720","layer":4},{"info":"compute unary expreesion, input=2720, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=6841","layer":3},{"info":"number node, value=1061","layer":4},{"info":"number node, value=2209","layer":4},{"info":"compute binary expreesion, left_input=1061, right_input=2209, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=6841, right_input=-134, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":2},{"info":"number node, value=6753","layer":4},{"info":"number node, value=4166","layer":4},{"info":"compute binary expreesion, left_input=6753, right_input=4166, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=4166","layer":3},{"info":"number node, value=2290","layer":4},{"info":"number node, value=4186","layer":4},{"info":"compute binary expreesion, left_input=2290, right_input=4186, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=16619","layer":3},{"info":"compute binary expreesion, left_input=4166, right_input=16619, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-16704","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-16704, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=86368","layer":1},{"info":"number node, value=4756","layer":4},{"info":"number node, value=1121","layer":4},{"info":"compute binary expreesion, left_input=4756, right_input=1121, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=9512","layer":3},{"info":"number node, value=6952","layer":4},{"info":"number node, value=2221","layer":4},{"info":"compute binary expreesion, left_input=6952, right_input=2221, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=9512, right_input=0, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=9512","layer":2},{"info":"number node, value=1748","layer":4},{"info":"compute unary expreesion, input=1748, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=-447","layer":3},{"info":"compute unary expreesion, input=-447, op_id = FonBHBYJbU, unary_op_definition = 'a⇽⩪ = { (((≉88)⨰(⨑⩽⪐a))⨸⪁((a+95)⇼⇔∾(a⋷a))) }', output=384","layer":2},{"info":"compute binary expreesion, left_input=9512, right_input=384, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-18761","layer":1},{"info":"compute binary expreesion, left_input=86368, right_input=-18761, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=inf","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉10634≫≃)⊮⊟↴≴∭⊉3044⫗⊷⫓≴∭⊉6304⇤(≴∭⊉25455∊∟⩊≴∭⊉15101≃(≴∭⊉6451⫸⊐≴∭⊉15130)))≴⪞⇿(≴∭⊉16603∘≴∭⊉3161⫲≸⪮(≴∭⊉26161⫸⇳≴∭⊉6322)⩵∡((⊊≼∋≴∭⊉5045)⇽⩪))=Inf","reverse_text":"Inf=((≴∭⊉10634≫≃)⊮⊟↴≴∭⊉3044⫗⊷⫓≴∭⊉6304⇤(≴∭⊉25455∊∟⩊≴∭⊉15101≃(≴∭⊉6451⫸⊐≴∭⊉15130)))≴⪞⇿(≴∭⊉16603∘≴∭⊉3161⫲≸⪮(≴∭⊉26161⫸⇳≴∭⊉6322)⩵∡((⊊≼∋≴∭⊉5045)⇽⩪))","cot":[{"info":"≴∭⊉10634≫≃=≴∭⊉25642","layer":3},{"info":"≴∭⊉3044⫗⊷⫓≴∭⊉6304=≴∭⊉-251","layer":3},{"info":"≴∭⊉25642⊮⊟↴≴∭⊉-251=≴∭⊉0","layer":2},{"info":"≴∭⊉25455∊∟⩊≴∭⊉15101=≴∭⊉15101","layer":3},{"info":"≴∭⊉6451⫸⊐≴∭⊉15130=≴∭⊉66311","layer":3},{"info":"≴∭⊉15101≃≴∭⊉66311=≴∭⊉-66462","layer":2},{"info":"≴∭⊉0⇤≴∭⊉-66462=≴∭⊉506542","layer":1},{"info":"≴∭⊉16603∘≴∭⊉3161=≴∭⊉36506","layer":3},{"info":"≴∭⊉26161⫸⇳≴∭⊉6322=≴∭⊉0","layer":3},{"info":"≴∭⊉36506⫲≸⪮≴∭⊉0=≴∭⊉36506","layer":2},{"info":"⊊≼∋≴∭⊉5045=≴∭⊉-1206","layer":3},{"info":"≴∭⊉-1206⇽⩪=≴∭⊉1056","layer":2},{"info":"≴∭⊉36506⩵∡≴∭⊉1056=≴∭⊉-105461","layer":1},{"info":"≴∭⊉506542≴⪞⇿≴∭⊉-105461=Inf","layer":0}]}
+{"id":953,"expression_no_base_symbol":"(($1181$⪇≇⋚$2398$)⊢($2383$⇷$2064$))⇡⇂(($9125$/$1349$)⊟⇱)↼⊘⨖($4293$↺$2504$⨒$5064$→⨶⪴$5570$)⊉↱≁(⊆⋠$5482$≴⪞⇿$3611$)","expression":"((≴∭⊉3305⪇≇⋚≴∭⊉6664)⊢(≴∭⊉6643⇷≴∭⊉6006))⇡⇂((≴∭⊉35414/≴∭⊉3635)⊟⇱)↼⊘⨖(≴∭⊉15342↺≴∭⊉10205⨒≴∭⊉20523→⨶⪴≴∭⊉22145)⊉↱≁(⊆⋠≴∭⊉21661≴⪞⇿≴∭⊉13346)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":102074,"operation_count":13,"complexity_ratio":7851.846153846154,"tree":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":1181,"base":7},"right_expr":{"type":"numeric_atoms","value":2398,"base":7}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2383,"base":7},"right_expr":{"type":"numeric_atoms","value":2064,"base":7}}},"right_expr":{"type":"unary","operator":"⊟⇱","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":9125,"base":7},"right_expr":{"type":"numeric_atoms","value":1349,"base":7}}}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":4293,"base":7},"right_expr":{"type":"numeric_atoms","value":2504,"base":7}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":5064,"base":7},"right_expr":{"type":"numeric_atoms","value":5570,"base":7}}},"right_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":5482,"base":7},"right_expr":{"type":"numeric_atoms","value":3611,"base":7}}}}},"used_operators":["bPywburJMS","UMwdvZNt44","5twsqlHp2o","3sJ7IOPOlU","mp7IySMOzn","03sUfWo75k","XhwjNDsVaA","w2P8NbNXyL","y75s1iXyHd","7j4O788W3g","bF6eod5Gvf","EBhcHTkKd8","lvlrscuwVU"],"dependent_operators":["9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","IWmyXbctLI","rysDP5nf3Z","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","9FxExcQeMw","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP"],"result":"≴∭⊉-615","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1181","layer":4},{"info":"number node, value=2398","layer":4},{"info":"compute binary expreesion, left_input=1181, right_input=2398, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"number node, value=2383","layer":4},{"info":"number node, value=2064","layer":4},{"info":"compute binary expreesion, left_input=2383, right_input=2064, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4128","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=4128, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-244","layer":2},{"info":"number node, value=9125","layer":4},{"info":"number node, value=1349","layer":4},{"info":"compute binary expreesion, left_input=9125, right_input=1349, op_id = XhwjNDsVaA binary_op_definition= 'None', output=6","layer":3},{"info":"compute unary expreesion, input=6, op_id = 03sUfWo75k, unary_op_definition = 'a⊟⇱ = { (a⪮%⊝a) }', output=328","layer":2},{"info":"compute binary expreesion, left_input=-244, right_input=328, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=-241","layer":1},{"info":"number node, value=4293","layer":4},{"info":"number node, value=2504","layer":4},{"info":"compute binary expreesion, left_input=4293, right_input=2504, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2504","layer":3},{"info":"number node, value=5064","layer":4},{"info":"number node, value=5570","layer":4},{"info":"compute binary expreesion, left_input=5064, right_input=5570, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-16710","layer":3},{"info":"compute binary expreesion, left_input=2504, right_input=-16710, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=1","layer":2},{"info":"number node, value=5482","layer":4},{"info":"number node, value=3611","layer":4},{"info":"compute binary expreesion, left_input=5482, right_input=3611, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=54267596","layer":3},{"info":"compute unary expreesion, input=54267596, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=1, right_input=0, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-42","layer":1},{"info":"compute binary expreesion, left_input=-241, right_input=-42, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=-306","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉3305⪇≇⋚≴∭⊉6664)⊢(≴∭⊉6643⇷≴∭⊉6006))⇡⇂((≴∭⊉35414/≴∭⊉3635)⊟⇱)↼⊘⨖(≴∭⊉15342↺≴∭⊉10205⨒≴∭⊉20523→⨶⪴≴∭⊉22145)⊉↱≁(⊆⋠≴∭⊉21661≴⪞⇿≴∭⊉13346)=≴∭⊉-615","reverse_text":"≴∭⊉-615=((≴∭⊉3305⪇≇⋚≴∭⊉6664)⊢(≴∭⊉6643⇷≴∭⊉6006))⇡⇂((≴∭⊉35414/≴∭⊉3635)⊟⇱)↼⊘⨖(≴∭⊉15342↺≴∭⊉10205⨒≴∭⊉20523→⨶⪴≴∭⊉22145)⊉↱≁(⊆⋠≴∭⊉21661≴⪞⇿≴∭⊉13346)","cot":[{"info":"≴∭⊉3305⪇≇⋚≴∭⊉6664=≴∭⊉0","layer":3},{"info":"≴∭⊉6643⇷≴∭⊉6006=≴∭⊉15015","layer":3},{"info":"≴∭⊉0⊢≴∭⊉15015=≴∭⊉-466","layer":2},{"info":"≴∭⊉35414/≴∭⊉3635=≴∭⊉6","layer":3},{"info":"≴∭⊉6⊟⇱=≴∭⊉646","layer":2},{"info":"≴∭⊉-466⇡⇂≴∭⊉646=≴∭⊉-463","layer":1},{"info":"≴∭⊉15342↺≴∭⊉10205=≴∭⊉10205","layer":3},{"info":"≴∭⊉20523→⨶⪴≴∭⊉22145=≴∭⊉-66501","layer":3},{"info":"≴∭⊉10205⨒≴∭⊉-66501=≴∭⊉1","layer":2},{"info":"≴∭⊉21661≴⪞⇿≴∭⊉13346=≴∭⊉1226160365","layer":3},{"info":"⊆⋠≴∭⊉1226160365=≴∭⊉0","layer":2},{"info":"≴∭⊉1⊉↱≁≴∭⊉0=≴∭⊉-60","layer":1},{"info":"≴∭⊉-463↼⊘⨖≴∭⊉-60=≴∭⊉-615","layer":0}]}
+{"id":954,"expression_no_base_symbol":"($1313$⫣⪄⊒$2103$⋛($3386$⋾⨃∁$2141$)⫸⇳($2893$⪨≂$4249$)↳≱($3980$↱$2750$))⊱⇼⊻($5398$∀⇚≩$4632$⊾⪯⋞$2153$⪶≀⋏$4630$⩹(⊊≼∋($3747$⊢$3250$)))","expression":"(≴∭⊉3554⫣⪄⊒≴∭⊉6063⋛(≴∭⊉12605⋾⨃∁≴∭⊉6146)⫸⇳(≴∭⊉11302⪨≂≴∭⊉15250)↳≱(≴∭⊉14414↱≴∭⊉11006))⊱⇼⊻(≴∭⊉21511∀⇚≩≴∭⊉16335⊾⪯⋞≴∭⊉6164⪶≀⋏≴∭⊉16333⩹(⊊≼∋(≴∭⊉13632⊢≴∭⊉12322)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":40485,"operation_count":14,"complexity_ratio":2891.785714285714,"tree":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":1313,"base":7},"right_expr":{"type":"numeric_atoms","value":2103,"base":7}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":3386,"base":7},"right_expr":{"type":"numeric_atoms","value":2141,"base":7}}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2893,"base":7},"right_expr":{"type":"numeric_atoms","value":4249,"base":7}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":3980,"base":7},"right_expr":{"type":"numeric_atoms","value":2750,"base":7}}}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":5398,"base":7},"right_expr":{"type":"numeric_atoms","value":4632,"base":7}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":2153,"base":7},"right_expr":{"type":"numeric_atoms","value":4630,"base":7}}},"right_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":3747,"base":7},"right_expr":{"type":"numeric_atoms","value":3250,"base":7}}}}},"used_operators":["FyVja0WsTP","gx7XJ7hdpj","YbUVn0Rbpy","RabNbG55vr","212REbPD9h","JwTKLfZU96","sdazOOVcIp","SR5kFfdi6N","2Wsdkap16l","HK0tfVPux8","LRNGc0VcxI","zR4jO40bMj","FWz7pXsQhA","5twsqlHp2o"],"dependent_operators":["W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","rysDP5nf3Z","t8gj7n24qd","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","X99M06cbEe","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","B5M0gjZbta","jCPkEVoL5K","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC"],"result":"≴∭⊉411","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1313","layer":4},{"info":"number node, value=2103","layer":4},{"info":"compute binary expreesion, left_input=1313, right_input=2103, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-10504","layer":3},{"info":"number node, value=3386","layer":4},{"info":"number node, value=2141","layer":4},{"info":"compute binary expreesion, left_input=3386, right_input=2141, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=45813024","layer":3},{"info":"compute binary expreesion, left_input=-10504, right_input=45813024, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-133791","layer":2},{"info":"number node, value=2893","layer":4},{"info":"number node, value=4249","layer":4},{"info":"compute binary expreesion, left_input=2893, right_input=4249, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-2610","layer":3},{"info":"number node, value=3980","layer":4},{"info":"number node, value=2750","layer":4},{"info":"compute binary expreesion, left_input=3980, right_input=2750, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-7728","layer":3},{"info":"compute binary expreesion, left_input=-2610, right_input=-7728, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-133791, right_input=0, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":1},{"info":"number node, value=5398","layer":4},{"info":"number node, value=4632","layer":4},{"info":"compute binary expreesion, left_input=5398, right_input=4632, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=2153","layer":4},{"info":"number node, value=4630","layer":4},{"info":"compute binary expreesion, left_input=2153, right_input=4630, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-15951","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-15951, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=nan","layer":2},{"info":"number node, value=3747","layer":4},{"info":"number node, value=3250","layer":4},{"info":"compute binary expreesion, left_input=3747, right_input=3250, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-7738","layer":3},{"info":"compute unary expreesion, input=-7738, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2Wsdkap16l binary_op_definition= 'a⩹b = { (b-((b⨳⩥⨓b)⨸⪁(1⋝⋈⪟b))) , if (b⇋≉)!=246 ; (((a⇋≉)⨰(a⋷a))⋳⪒((a⩚⊴⇥a)⨳⩥⨓(a≧⫂∧a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=204","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉3554⫣⪄⊒≴∭⊉6063⋛(≴∭⊉12605⋾⨃∁≴∭⊉6146)⫸⇳(≴∭⊉11302⪨≂≴∭⊉15250)↳≱(≴∭⊉14414↱≴∭⊉11006))⊱⇼⊻(≴∭⊉21511∀⇚≩≴∭⊉16335⊾⪯⋞≴∭⊉6164⪶≀⋏≴∭⊉16333⩹(⊊≼∋(≴∭⊉13632⊢≴∭⊉12322)))=≴∭⊉411","reverse_text":"≴∭⊉411=(≴∭⊉3554⫣⪄⊒≴∭⊉6063⋛(≴∭⊉12605⋾⨃∁≴∭⊉6146)⫸⇳(≴∭⊉11302⪨≂≴∭⊉15250)↳≱(≴∭⊉14414↱≴∭⊉11006))⊱⇼⊻(≴∭⊉21511∀⇚≩≴∭⊉16335⊾⪯⋞≴∭⊉6164⪶≀⋏≴∭⊉16333⩹(⊊≼∋(≴∭⊉13632⊢≴∭⊉12322)))","cot":[{"info":"≴∭⊉3554⫣⪄⊒≴∭⊉6063=≴∭⊉-42424","layer":3},{"info":"≴∭⊉12605⋾⨃∁≴∭⊉6146=≴∭⊉1064255445","layer":3},{"info":"≴∭⊉-42424⋛≴∭⊉1064255445=≴∭⊉-1065030","layer":2},{"info":"≴∭⊉11302⪨≂≴∭⊉15250=≴∭⊉-10416","layer":3},{"info":"≴∭⊉14414↱≴∭⊉11006=≴∭⊉-31350","layer":3},{"info":"≴∭⊉-10416↳≱≴∭⊉-31350=≴∭⊉0","layer":2},{"info":"≴∭⊉-1065030⫸⇳≴∭⊉0=≴∭⊉0","layer":1},{"info":"≴∭⊉21511∀⇚≩≴∭⊉16335=NaN","layer":3},{"info":"≴∭⊉6164⪶≀⋏≴∭⊉16333=≴∭⊉-64335","layer":3},{"info":"NaN⊾⪯⋞≴∭⊉-64335=NaN","layer":2},{"info":"≴∭⊉13632⊢≴∭⊉12322=≴∭⊉-31363","layer":3},{"info":"⊊≼∋≴∭⊉-31363=NaN","layer":2},{"info":"NaN⩹NaN=NaN","layer":1},{"info":"≴∭⊉0⊱⇼⊻NaN=≴∭⊉411","layer":0}]}
+{"id":955,"expression_no_base_symbol":"⫯(≯(($2497$≃$2021$)⨪↰⇹(⫟$6056$)))","expression":"⫯(≯((≴∭⊉10165≃≴∭⊉5615)⨪↰⇹(⫟≴∭⊉23441)))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":10141,"operation_count":5,"complexity_ratio":2028.2,"tree":{"type":"unary","operator":"⫯","unary_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":2497,"base":7},"right_expr":{"type":"numeric_atoms","value":2021,"base":7}},"right_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"numeric_atoms","value":6056,"base":7}}}}},"used_operators":["H6BK1Evt7c","keWfFq85dY","tmPS8pqC7x","YbVcJGFEVW","z4E1FaHLuy"],"dependent_operators":["2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","g55IO6H4Gj","JLbD19bQDL","rJVOvQCfKK","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2497","layer":4},{"info":"number node, value=2021","layer":4},{"info":"compute binary expreesion, left_input=2497, right_input=2021, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-10028","layer":3},{"info":"number node, value=6056","layer":4},{"info":"compute unary expreesion, input=6056, op_id = z4E1FaHLuy, unary_op_definition = '⫟a = { (((-a)⪨≂(a⨸⪁a))≧⫂∧((a⩷∴a)⨰(a⫡⨏a))) , if (a⫌⩹⨱)>=11 ; (((a+263)⋝⋈⪟(a⨳⩥⨓a))⪒((a⋥≓≎a)⫩⊇)) , else }', output=-17261","layer":3},{"info":"compute binary expreesion, left_input=-10028, right_input=-17261, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=-10028","layer":2},{"info":"compute unary expreesion, input=-10028, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"⫯(≯((≴∭⊉10165≃≴∭⊉5615)⨪↰⇹(⫟≴∭⊉23441)))=NaN","reverse_text":"NaN=⫯(≯((≴∭⊉10165≃≴∭⊉5615)⨪↰⇹(⫟≴∭⊉23441)))","cot":[{"info":"≴∭⊉10165≃≴∭⊉5615=≴∭⊉-41144","layer":3},{"info":"⫟≴∭⊉23441=≴∭⊉-101216","layer":3},{"info":"≴∭⊉-41144⨪↰⇹≴∭⊉-101216=≴∭⊉-41144","layer":2},{"info":"≯≴∭⊉-41144=≴∭⊉0","layer":1},{"info":"⫯≴∭⊉0=NaN","layer":0}]}
+{"id":956,"expression_no_base_symbol":"(($1327$∲⫓$4022$)⫗⊷⫓(≦∁$2105$)⫿)⪔(($4105$⫉⨲⊜$5781$)⫁($7121$≚⊃≕$3605$)≓∲(⊊≼∋$2584$)⨽($1151$≦≮≮))","expression":"((≴∭⊉3604∲⫓≴∭⊉14504)⫗⊷⫓(≦∁≴∭⊉6065)⫿)⪔((≴∭⊉14653⫉⨲⊜≴∭⊉22566)⫁(≴∭⊉26522≚⊃≕≴∭⊉13340)≓∲(⊊≼∋≴∭⊉10351)⨽(≴∭⊉3233≦≮≮))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1638245,"operation_count":12,"complexity_ratio":136520.41666666666,"tree":{"type":"binary","operator":"⪔","left_expr":{"type":"unary","operator":"⫿","unary_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1327,"base":7},"right_expr":{"type":"numeric_atoms","value":4022,"base":7}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":2105,"base":7}}}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":4105,"base":7},"right_expr":{"type":"numeric_atoms","value":5781,"base":7}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":7121,"base":7},"right_expr":{"type":"numeric_atoms","value":3605,"base":7}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"numeric_atoms","value":2584,"base":7}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":1151,"base":7}}}}},"used_operators":["GjBEYRfMaF","9tKT6PmtkH","zashukvMKz","i8ToyICDmI","9ICcGScMcE","s1XTVnmDOJ","0ajvFaJAv0","WhqkvtTD3t","Bmrmz2XGnR","8HhzD0ZcuI","FWz7pXsQhA","D4vGDi5EA2"],"dependent_operators":["YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","DpFCA1CohY","9ICcGScMcE","f6k1SAg4EE","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","cHh1gJQ2o6","AHs5Up7iyr","eewbuw0ToL","zVYPLywUTj","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","B5M0gjZbta","jCPkEVoL5K","W4YGzv6Whe","t8gj7n24qd"],"result":"≴∭⊉1212","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1327","layer":4},{"info":"number node, value=4022","layer":4},{"info":"compute binary expreesion, left_input=1327, right_input=4022, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=2105","layer":4},{"info":"compute unary expreesion, input=2105, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2105","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2105, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":2},{"info":"compute unary expreesion, input=-134, op_id = 9tKT6PmtkH, unary_op_definition = 'a⫿ = { (≦∁a) , if (⋗⩬⋾a)<1 ; (a⪒a) , else }', output=268","layer":1},{"info":"number node, value=4105","layer":4},{"info":"number node, value=5781","layer":4},{"info":"compute binary expreesion, left_input=4105, right_input=5781, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"number node, value=7121","layer":4},{"info":"number node, value=3605","layer":4},{"info":"compute binary expreesion, left_input=7121, right_input=3605, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=67, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":2},{"info":"number node, value=2584","layer":4},{"info":"compute unary expreesion, input=2584, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=-447","layer":3},{"info":"number node, value=1151","layer":4},{"info":"compute unary expreesion, input=1151, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-3453","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=-3453, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-587754","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-587754, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=17623393","layer":1},{"info":"compute binary expreesion, left_input=268, right_input=17623393, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉3604∲⫓≴∭⊉14504)⫗⊷⫓(≦∁≴∭⊉6065)⫿)⪔((≴∭⊉14653⫉⨲⊜≴∭⊉22566)⫁(≴∭⊉26522≚⊃≕≴∭⊉13340)≓∲(⊊≼∋≴∭⊉10351)⨽(≴∭⊉3233≦≮≮))=≴∭⊉1212","reverse_text":"≴∭⊉1212=((≴∭⊉3604∲⫓≴∭⊉14504)⫗⊷⫓(≦∁≴∭⊉6065)⫿)⪔((≴∭⊉14653⫉⨲⊜≴∭⊉22566)⫁(≴∭⊉26522≚⊃≕≴∭⊉13340)≓∲(⊊≼∋≴∭⊉10351)⨽(≴∭⊉3233≦≮≮))","cot":[{"info":"≴∭⊉3604∲⫓≴∭⊉14504=≴∭⊉0","layer":3},{"info":"≦∁≴∭⊉6065=≴∭⊉6065","layer":3},{"info":"≴∭⊉0⫗⊷⫓≴∭⊉6065=≴∭⊉-251","layer":2},{"info":"≴∭⊉-251⫿=≴∭⊉532","layer":1},{"info":"≴∭⊉14653⫉⨲⊜≴∭⊉22566=≴∭⊉0","layer":3},{"info":"≴∭⊉26522≚⊃≕≴∭⊉13340=≴∭⊉124","layer":3},{"info":"≴∭⊉0⫁≴∭⊉124=≴∭⊉316","layer":2},{"info":"⊊≼∋≴∭⊉10351=≴∭⊉-1206","layer":3},{"info":"��∭⊉3233≦≮≮=≴∭⊉-13032","layer":3},{"info":"≴∭⊉-1206⨽≴∭⊉-13032=≴∭⊉-4665366","layer":2},{"info":"≴∭⊉316≓∲≴∭⊉-4665366=≴∭⊉302540104","layer":1},{"info":"≴∭⊉532⪔≴∭⊉302540104=≴∭⊉1212","layer":0}]}
+{"id":957,"expression_no_base_symbol":"(((∜⨇$8638$)%$9105$≠≀$5349$)⪡(⪫⨮⊛(⇈$5144$)))⊕∕(⇨($3561$⊢$3778$≒∊($1451$⫸⊐$1602$)))","expression":"(((∜⨇≴∭⊉34120)%≴∭⊉35355≠≀≴∭⊉21411)⪡(⪫⨮⊛(⇈≴∭⊉20666)))⊕∕(⇨(≴∭⊉13245⊢≴∭⊉14005≒∊(≴∭⊉4142⫸⊐≴∭⊉4446)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1156,"operation_count":11,"complexity_ratio":105.0909090909091,"tree":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"numeric_atoms","value":8638,"base":7}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":9105,"base":7},"right_expr":{"type":"numeric_atoms","value":5349,"base":7}}},"right_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"numeric_atoms","value":5144,"base":7}}}},"right_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":3561,"base":7},"right_expr":{"type":"numeric_atoms","value":3778,"base":7}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1451,"base":7},"right_expr":{"type":"numeric_atoms","value":1602,"base":7}}}}},"used_operators":["9cloC0Ngie","oraRL2iQuh","k8jYdgA6NY","uFPyJr306J","IwW236VD4Y","w5FWba1tyO","SLLxy00UIr","G9tJMlZ94a","5KTvxBwnZo","5twsqlHp2o","mqXw5SEYmG"],"dependent_operators":["Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","rysDP5nf3Z","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","k8jYdgA6NY","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=8638","layer":4},{"info":"compute unary expreesion, input=8638, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=nan","layer":3},{"info":"number node, value=9105","layer":4},{"info":"number node, value=5349","layer":4},{"info":"compute binary expreesion, left_input=9105, right_input=5349, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-17904","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-17904, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=5144","layer":4},{"info":"compute unary expreesion, input=5144, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":3},{"info":"compute unary expreesion, input=-447, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-447, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=nan","layer":1},{"info":"number node, value=3561","layer":4},{"info":"number node, value=3778","layer":4},{"info":"compute binary expreesion, left_input=3561, right_input=3778, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-7366","layer":3},{"info":"number node, value=1451","layer":4},{"info":"number node, value=1602","layer":4},{"info":"compute binary expreesion, left_input=1451, right_input=1602, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=6283","layer":3},{"info":"compute binary expreesion, left_input=-7366, right_input=6283, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=7850","layer":2},{"info":"compute unary expreesion, input=7850, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(((∜⨇≴∭⊉34120)%≴∭⊉35355≠≀≴∭⊉21411)⪡(⪫⨮⊛(⇈≴∭⊉20666)))⊕∕(⇨(≴∭⊉13245⊢≴∭⊉14005≒∊(≴∭⊉4142⫸⊐≴∭⊉4446)))=NaN","reverse_text":"NaN=(((∜⨇≴∭⊉34120)%≴∭⊉35355≠≀≴∭⊉21411)⪡(⪫⨮⊛(⇈≴∭⊉20666)))⊕∕(⇨(≴∭⊉13245⊢≴∭⊉14005≒∊(≴∭⊉4142⫸⊐≴∭⊉4446)))","cot":[{"info":"∜⨇≴∭⊉34120=NaN","layer":3},{"info":"≴∭⊉35355≠≀≴∭⊉21411=≴∭⊉-103125","layer":3},{"info":"NaN%≴∭⊉-103125=NaN","layer":2},{"info":"⇈≴∭⊉20666=≴∭⊉-1206","layer":3},{"info":"⪫⨮⊛≴∭⊉-1206=≴∭⊉-1206","layer":2},{"info":"NaN⪡≴∭⊉-1206=NaN","layer":1},{"info":"≴∭⊉13245⊢≴∭⊉14005=≴∭⊉-30322","layer":3},{"info":"≴∭⊉4142⫸⊐≴∭⊉4446=≴∭⊉24214","layer":3},{"info":"≴∭⊉-30322≒∊≴∭⊉24214=≴∭⊉31613","layer":2},{"info":"⇨≴∭⊉31613=≴∭⊉0","layer":1},{"info":"NaN⊕∕≴∭⊉0=NaN","layer":0}]}
+{"id":958,"expression_no_base_symbol":"($1996$⩍⋽⫝̸$6051$⪮%⊝($4549$⊔$2309$))↳∿⪆($1153$⫲≸⪮$2505$)⪝($5853$⫻⋑⊟)⪡(($1998$⫢⨠$1956$⪨≂$1687$-$6022$)⪐)","expression":"(≴∭⊉5551⩍⋽⫝̸≴∭⊉23433⪮%⊝(≴∭⊉16156⊔≴∭⊉6506))↳∿⪆(≴∭⊉3235⫲≸⪮≴∭⊉10206)⪝(≴∭⊉23031⫻⋑⊟)⪡((≴∭⊉5553⫢⨠≴∭⊉5463⪨≂≴∭⊉4630-≴∭⊉23362)⪐)","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":5041,"operation_count":12,"complexity_ratio":420.0833333333333,"tree":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":1996,"base":7},"right_expr":{"type":"numeric_atoms","value":6051,"base":7}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":4549,"base":7},"right_expr":{"type":"numeric_atoms","value":2309,"base":7}}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":1153,"base":7},"right_expr":{"type":"numeric_atoms","value":2505,"base":7}},"right_expr":{"type":"unary","operator":"⫻⋑⊟","unary_expr":{"type":"numeric_atoms","value":5853,"base":7}}}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":1998,"base":7},"right_expr":{"type":"numeric_atoms","value":1956,"base":7}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1687,"base":7},"right_expr":{"type":"numeric_atoms","value":6022,"base":7}}}}},"used_operators":["oraRL2iQuh","Cw4SuJJGHO","IWmyXbctLI","BiWNJpBvwn","E4l6HwMY31","wicAB68Tmb","P3lXMJvFrc","o575Zjdmzy","eH2TOUuTDT","sdazOOVcIp","xlXykHWxX1","rysDP5nf3Z"],"dependent_operators":["2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","Ph9nP6C5qx","xUOZtlo3hN","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","rysDP5nf3Z","sdazOOVcIp","12rbrZMWeM","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1996","layer":4},{"info":"number node, value=6051","layer":4},{"info":"compute binary expreesion, left_input=1996, right_input=6051, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=5105","layer":3},{"info":"number node, value=4549","layer":4},{"info":"number node, value=2309","layer":4},{"info":"compute binary expreesion, left_input=4549, right_input=2309, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=18243","layer":3},{"info":"compute binary expreesion, left_input=5105, right_input=18243, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=10526","layer":2},{"info":"number node, value=1153","layer":4},{"info":"number node, value=2505","layer":4},{"info":"compute binary expreesion, left_input=1153, right_input=2505, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼��⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=1153","layer":3},{"info":"number node, value=5853","layer":4},{"info":"compute unary expreesion, input=5853, op_id = o575Zjdmzy, unary_op_definition = 'a⫻⋑⊟ = { ((a⨸⪁(⨞⊢a))⪨≂((a∲⫓a)⋳⪒(265-a))) }', output=-11196","layer":3},{"info":"compute binary expreesion, left_input=1153, right_input=-11196, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-49795","layer":2},{"info":"compute binary expreesion, left_input=10526, right_input=-49795, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":1},{"info":"number node, value=1998","layer":4},{"info":"number node, value=1956","layer":4},{"info":"compute binary expreesion, left_input=1998, right_input=1956, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"number node, value=1687","layer":4},{"info":"number node, value=6022","layer":4},{"info":"compute binary expreesion, left_input=1687, right_input=6022, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-4335","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-4335, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=9092","layer":2},{"info":"compute unary expreesion, input=9092, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=18184","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=18184, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉5551⩍⋽⫝̸≴∭⊉23433⪮%⊝(≴∭⊉16156⊔≴∭⊉6506))↳∿⪆(≴∭⊉3235⫲≸⪮≴∭⊉10206)⪝(≴∭⊉23031⫻⋑⊟)⪡((≴∭⊉5553⫢⨠≴∭⊉5463⪨≂≴∭⊉4630-≴∭⊉23362)⪐)=NaN","reverse_text":"NaN=(≴∭⊉5551⩍⋽⫝̸≴∭⊉23433⪮%⊝(≴∭⊉16156⊔≴∭⊉6506))↳∿⪆(≴∭⊉3235⫲≸⪮≴∭⊉10206)⪝(≴∭⊉23031⫻⋑⊟)⪡((≴∭⊉5553⫢⨠≴∭⊉5463⪨≂≴∭⊉4630-≴∭⊉23362)⪐)","cot":[{"info":"≴∭⊉5551⩍⋽⫝̸≴∭⊉23433=≴∭⊉20612","layer":3},{"info":"≴∭⊉16156⊔≴∭⊉6506=≴∭⊉104121","layer":3},{"info":"≴∭⊉20612⪮%⊝≴∭⊉104121=≴∭⊉42455","layer":2},{"info":"≴∭⊉3235⫲≸⪮≴∭⊉10206=≴∭⊉3235","layer":3},{"info":"≴∭⊉23031⫻⋑⊟=≴∭⊉-44433","layer":3},{"info":"≴∭⊉3235⪝≴∭⊉-44433=≴∭⊉-265114","layer":2},{"info":"≴∭⊉42455↳∿⪆≴∭⊉-265114=NaN","layer":1},{"info":"≴∭⊉5553⫢⨠≴∭⊉5463=≴∭⊉316","layer":3},{"info":"≴∭⊉4630-≴∭⊉23362=≴∭⊉-15432","layer":3},{"info":"≴∭⊉316⪨≂≴∭⊉-15432=≴∭⊉35336","layer":2},{"info":"≴∭⊉35336⪐=≴∭⊉104005","layer":1},{"info":"NaN⪡≴∭⊉104005=NaN","layer":0}]}
+{"id":959,"expression_no_base_symbol":"(≋$2791$⫗⊷⫓$1501$∘($1260$∖$1972$))⋥≓≎((∡$2536$)≨(⇋⊎⋝$2496$))∴(↪⫪⫘($1632$∽$5599$))","expression":"(≋≴∭⊉11065⫗⊷⫓≴∭⊉4243∘(≴∭⊉3450∖≴∭⊉5515))⋥≓≎((∡≴∭⊉10252)≨(⇋⊎⋝≴∭⊉10164))∴(↪⫪⫘(≴∭⊉4521∽≴∭⊉22216))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1185409,"operation_count":11,"complexity_ratio":107764.45454545454,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":2791,"base":7},"right_expr":{"type":"numeric_atoms","value":1501,"base":7}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":1260,"base":7},"right_expr":{"type":"numeric_atoms","value":1972,"base":7}}}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"numeric_atoms","value":2536,"base":7}},"right_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"numeric_atoms","value":2496,"base":7}}},"right_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":1632,"base":7},"right_expr":{"type":"numeric_atoms","value":5599,"base":7}}}}},"used_operators":["Qy55tPpLXF","61wBmkZwlr","Z5m6OM72h2","zashukvMKz","tXD093vOjl","hrf7POJlIJ","0KMCeP1Jsh","pRsWfj4Fpp","CzM2PEoXns","9dWsAM3GFt","y4ImoPnbV5"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","7j4O788W3g","eH2TOUuTDT","rysDP5nf3Z","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","dWAJyo7jo9","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","NTOWxs364D","QMFrweE19q"],"result":"≴∭⊉135002","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2791","layer":4},{"info":"number node, value=1501","layer":4},{"info":"compute binary expreesion, left_input=2791, right_input=1501, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"number node, value=1260","layer":4},{"info":"number node, value=1972","layer":4},{"info":"compute binary expreesion, left_input=1260, right_input=1972, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=0, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=514","layer":2},{"info":"compute unary expreesion, input=514, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=514","layer":1},{"info":"number node, value=2536","layer":4},{"info":"compute unary expreesion, input=2536, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=-2536","layer":3},{"info":"number node, value=2496","layer":4},{"info":"compute unary expreesion, input=2496, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-2536, right_input=nan, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=5728","layer":2},{"info":"number node, value=1632","layer":4},{"info":"number node, value=5599","layer":4},{"info":"compute binary expreesion, left_input=1632, right_input=5599, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-24779","layer":3},{"info":"compute unary expreesion, input=-24779, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":2},{"info":"compute binary expreesion, left_input=5728, right_input=20, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=13104","layer":1},{"info":"compute binary expreesion, left_input=514, right_input=13104, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=25727","layer":0}],"base":7,"result_base":7,"text":"(≋≴∭⊉11065⫗⊷⫓≴∭⊉4243∘(≴∭⊉3450∖≴∭⊉5515))⋥≓≎((∡≴∭⊉10252)≨(⇋⊎⋝≴∭⊉10164))∴(↪⫪⫘(≴∭⊉4521∽≴∭⊉22216))=≴∭⊉135002","reverse_text":"≴∭⊉135002=(≋≴∭⊉11065⫗⊷⫓≴∭⊉4243∘(≴∭⊉3450∖≴∭⊉5515))⋥≓≎((∡≴∭⊉10252)≨(⇋⊎⋝≴∭⊉10164))∴(↪⫪⫘(≴∭⊉4521∽≴∭⊉22216))","cot":[{"info":"≴∭⊉11065⫗⊷⫓≴∭⊉4243=≴∭⊉-251","layer":3},{"info":"≴∭⊉3450∖≴∭⊉5515=≴∭⊉0","layer":3},{"info":"≴∭⊉-251∘≴∭⊉0=≴∭⊉1333","layer":2},{"info":"≋≴∭⊉1333=≴∭⊉1333","layer":1},{"info":"∡≴∭⊉10252=≴∭⊉-10252","layer":3},{"info":"⇋⊎⋝≴∭⊉10164=NaN","layer":3},{"info":"≴∭⊉-10252≨NaN=≴∭⊉22462","layer":2},{"info":"≴∭⊉4521∽≴∭⊉22216=≴∭⊉-132146","layer":3},{"info":"↪⫪⫘≴∭⊉-132146=≴∭⊉26","layer":2},{"info":"≴∭⊉22462∴≴∭⊉26=≴∭⊉53130","layer":1},{"info":"≴∭⊉1333⋥≓≎≴∭⊉53130=≴∭⊉135002","layer":0}]}
+{"id":960,"expression_no_base_symbol":"(($1071$≎⪠$3853$⪄$1319$⪨⊡$4686$)≎⊠⪸($1419$⪄$1179$)⊔$4650$⪬$2222$)↳∿⪆($1454$⪝$3446$∠⫱$4920$+⪬∐$5133$⪁$1851$∣$1358$⋳⪒$6996$⫗⊷⫓$2106$)","expression":"((≴∭⊉3060≎⪠≴∭⊉14143⪄≴∭⊉3563⪨⊡≴∭⊉16443)≎⊠⪸(≴∭⊉4065⪄≴∭⊉3303)⊔≴∭⊉16362⪬≴∭⊉6323)↳∿⪆(≴∭⊉4145⪝≴∭⊉13022∠⫱≴∭⊉20226+⪬∐≴∭⊉20652⪁≴∭⊉5253∣≴∭⊉3650⋳⪒≴∭⊉26253⫗⊷⫓≴∭⊉6066)","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":198632272,"operation_count":15,"complexity_ratio":13242151.466666667,"tree":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":1071,"base":7},"right_expr":{"type":"numeric_atoms","value":3853,"base":7}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":1319,"base":7},"right_expr":{"type":"numeric_atoms","value":4686,"base":7}}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1419,"base":7},"right_expr":{"type":"numeric_atoms","value":1179,"base":7}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":4650,"base":7},"right_expr":{"type":"numeric_atoms","value":2222,"base":7}}}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":1454,"base":7},"right_expr":{"type":"numeric_atoms","value":3446,"base":7}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":4920,"base":7},"right_expr":{"type":"numeric_atoms","value":5133,"base":7}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":1851,"base":7},"right_expr":{"type":"numeric_atoms","value":1358,"base":7}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":6996,"base":7},"right_expr":{"type":"numeric_atoms","value":2106,"base":7}}}}},"used_operators":["Cw4SuJJGHO","bJkvcejdHO","SUmda5xLS4","aNhz54LH3e","kuIXHzHcAH","E4l6HwMY31","Ez1Nq5fNfI","I7sXao9hZE","QvoQhV0rrE","wicAB68Tmb","2GS7woTJqF","12rbrZMWeM","PPChnnnBFF","zashukvMKz"],"dependent_operators":["hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","g55IO6H4Gj","D4vGDi5EA2","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1071","layer":4},{"info":"number node, value=3853","layer":4},{"info":"compute binary expreesion, left_input=1071, right_input=3853, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"number node, value=1319","layer":4},{"info":"number node, value=4686","layer":4},{"info":"compute binary expreesion, left_input=1319, right_input=4686, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=19558, right_input=0, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-2890673","layer":2},{"info":"number node, value=1419","layer":4},{"info":"number node, value=1179","layer":4},{"info":"compute binary expreesion, left_input=1419, right_input=1179, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-210817","layer":3},{"info":"number node, value=4650","layer":4},{"info":"number node, value=2222","layer":4},{"info":"compute binary expreesion, left_input=4650, right_input=2222, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=-210817, right_input=1234, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=845260","layer":2},{"info":"compute binary expreesion, left_input=-2890673, right_input=845260, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=748684307","layer":1},{"info":"number node, value=1454","layer":4},{"info":"number node, value=3446","layer":4},{"info":"compute binary expreesion, left_input=1454, right_input=3446, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":3},{"info":"number node, value=4920","layer":4},{"info":"number node, value=5133","layer":4},{"info":"compute binary expreesion, left_input=4920, right_input=5133, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-14760","layer":3},{"info":"compute binary expreesion, left_input=237, right_input=-14760, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=14997","layer":2},{"info":"number node, value=1851","layer":4},{"info":"number node, value=1358","layer":4},{"info":"compute binary expreesion, left_input=1851, right_input=1358, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=1851","layer":3},{"info":"number node, value=6996","layer":4},{"info":"number node, value=2106","layer":4},{"info":"compute binary expreesion, left_input=6996, right_input=2106, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=1851, right_input=-134, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=3549","layer":2},{"info":"compute binary expreesion, left_input=14997, right_input=3549, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=748684307, right_input=nan, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉3060≎⪠≴∭⊉14143⪄≴∭⊉3563⪨⊡≴∭⊉16443)≎⊠⪸(≴∭⊉4065⪄≴∭⊉3303)⊔≴∭⊉16362⪬≴∭⊉6323)↳∿⪆(≴∭⊉4145⪝≴∭⊉13022∠⫱≴∭⊉20226+⪬∐≴∭⊉20652⪁≴∭⊉5253∣≴∭⊉3650⋳⪒≴∭⊉26253⫗⊷⫓≴∭⊉6066)=NaN","reverse_text":"NaN=((≴∭⊉3060≎⪠≴∭⊉14143⪄≴∭⊉3563⪨⊡≴∭⊉16443)≎⊠⪸(≴∭⊉4065⪄≴∭⊉3303)⊔≴∭⊉16362⪬≴∭⊉6323)↳∿⪆(≴∭⊉4145⪝≴∭⊉13022∠⫱≴∭⊉20226+⪬∐≴∭⊉20652⪁≴∭⊉5253∣≴∭⊉3650⋳⪒≴∭⊉26253⫗⊷⫓≴∭⊉6066)","cot":[{"info":"≴∭⊉3060≎⪠≴∭⊉14143=≴∭⊉111010","layer":3},{"info":"≴∭⊉3563⪨⊡≴∭⊉16443=≴∭⊉0","layer":3},{"info":"≴∭⊉111010⪄≴∭⊉0=≴∭⊉-33366422","layer":2},{"info":"≴∭⊉4065⪄≴∭⊉3303=≴∭⊉-1535425","layer":3},{"info":"≴∭⊉16362⪬≴∭⊉6323=≴∭⊉3412","layer":3},{"info":"≴∭⊉-1535425⊔≴∭⊉3412=≴∭⊉10120213","layer":2},{"info":"≴∭⊉-33366422≎⊠⪸≴∭⊉10120213=≴∭⊉24360466040","layer":1},{"info":"≴∭⊉4145⪝≴∭⊉13022=≴∭⊉456","layer":3},{"info":"≴∭⊉20226+⪬∐≴∭⊉20652=≴∭⊉-61014","layer":3},{"info":"≴∭⊉456∠⫱≴∭⊉-61014=≴∭⊉61503","layer":2},{"info":"≴∭⊉5253∣≴∭⊉3650=≴∭⊉5253","layer":3},{"info":"≴∭⊉26253⫗⊷⫓≴∭⊉6066=≴∭⊉-251","layer":3},{"info":"≴∭⊉5253⋳⪒≴∭⊉-251=≴∭⊉13230","layer":2},{"info":"≴∭⊉61503⪁≴∭⊉13230=NaN","layer":1},{"info":"≴∭⊉24360466040↳∿⪆NaN=NaN","layer":0}]}
+{"id":961,"expression_no_base_symbol":"⊢≑≆((⊑($1013$⇆⨓≜))⪡(($1671$↠)⫰⋱(⇋⊎⋝$3153$)))","expression":"⊢≑≆((⊑(≴∭⊉2645⇆⨓≜))⪡((≴∭⊉4605↠)⫰⋱(⇋⊎⋝≴∭⊉12123)))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3763,"operation_count":7,"complexity_ratio":537.5714285714286,"tree":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"unary","operator":"⇆⨓≜","unary_expr":{"type":"numeric_atoms","value":1013,"base":7}}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"unary","operator":"↠","unary_expr":{"type":"numeric_atoms","value":1671,"base":7}},"right_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"numeric_atoms","value":3153,"base":7}}}}},"used_operators":["27wFxooxGf","oraRL2iQuh","IkUmn0D7oy","KvvgdUaMHJ","6o9Blt3TJ6","LBdsKIvxzf","CzM2PEoXns"],"dependent_operators":["eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","Uaa54Peajs","KYD54nUTWz","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","d7ASUq0ydm","rysDP5nf3Z","Noe24qw2ks","xRrnTEsQ6j","dfKe02y8D2","Tw270M8GLb","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1013","layer":4},{"info":"compute unary expreesion, input=1013, op_id = KvvgdUaMHJ, unary_op_definition = 'a⇆⨓≜ = { (∂(a⫥∨⫟a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":2},{"info":"number node, value=1671","layer":4},{"info":"compute unary expreesion, input=1671, op_id = LBdsKIvxzf, unary_op_definition = 'a↠ = { ((⨰⫟⨤603)⨐(a⫯⪬∳a)) , if (a⫁⪎18)<=15 ; (167⫚↹⊑(a-a)) , else }', output=-447","layer":3},{"info":"number node, value=3153","layer":4},{"info":"compute unary expreesion, input=3153, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=nan, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=192, right_input=nan, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"⊢≑≆((⊑(≴∭⊉2645⇆⨓≜))⪡((≴∭⊉4605↠)⫰⋱(⇋⊎⋝≴∭⊉12123)))=NaN","reverse_text":"NaN=⊢≑≆((⊑(≴∭⊉2645⇆⨓≜))⪡((≴∭⊉4605↠)⫰⋱(⇋⊎⋝≴∭⊉12123)))","cot":[{"info":"≴∭⊉2645⇆⨓≜=NaN","layer":3},{"info":"⊑NaN=≴∭⊉363","layer":2},{"info":"≴∭⊉4605↠=≴∭⊉-1206","layer":3},{"info":"⇋⊎⋝≴∭⊉12123=NaN","layer":3},{"info":"≴∭⊉-1206⫰⋱NaN=NaN","layer":2},{"info":"≴∭⊉363⪡NaN=NaN","layer":1},{"info":"⊢≑≆NaN=NaN","layer":0}]}
+{"id":962,"expression_no_base_symbol":"(($3078$⩌⋺$3164$∠↢($1058$⊭↱$1199$))≹⇙⪍($2403$⇷$2940$)∺≝⩲($8762$∕⩚$1443$))⩱","expression":"((≴∭⊉11655⩌⋺≴∭⊉12140∠↢(≴∭⊉3041⊭↱≴∭⊉3332))≹⇙⪍(≴∭⊉10002⇷≴∭⊉11400)∺≝⩲(≴∭⊉34355∕⩚≴∭⊉4131))⩱","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":75915,"operation_count":8,"complexity_ratio":9489.375,"tree":{"type":"unary","operator":"⩱","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":3078,"base":7},"right_expr":{"type":"numeric_atoms","value":3164,"base":7}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1058,"base":7},"right_expr":{"type":"numeric_atoms","value":1199,"base":7}}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2403,"base":7},"right_expr":{"type":"numeric_atoms","value":2940,"base":7}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":8762,"base":7},"right_expr":{"type":"numeric_atoms","value":1443,"base":7}}}}},"used_operators":["uyq1hVkAcj","AHs5Up7iyr","KbjG8mgYpV","g7Hmc5v1ko","COABgblf1C","KPf6cnQVty","mp7IySMOzn","z9ffQ9n5Zr"],"dependent_operators":["DpFCA1CohY","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","COABgblf1C","dWAJyo7jo9","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3078","layer":4},{"info":"number node, value=3164","layer":4},{"info":"compute binary expreesion, left_input=3078, right_input=3164, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-6363","layer":3},{"info":"number node, value=1058","layer":4},{"info":"number node, value=1199","layer":4},{"info":"compute binary expreesion, left_input=1058, right_input=1199, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=287","layer":3},{"info":"compute binary expreesion, left_input=-6363, right_input=287, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=22516","layer":2},{"info":"number node, value=2403","layer":4},{"info":"number node, value=2940","layer":4},{"info":"compute binary expreesion, left_input=2403, right_input=2940, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=5880","layer":3},{"info":"number node, value=8762","layer":4},{"info":"number node, value=1443","layer":4},{"info":"compute binary expreesion, left_input=8762, right_input=1443, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-8765","layer":3},{"info":"compute binary expreesion, left_input=5880, right_input=-8765, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=22516, right_input=160, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = uyq1hVkAcj, unary_op_definition = 'a⩱ = { ((⋗⩬⋾(a⊭↱a))↺((a⨸⪁a)⪒(a⨸⪁125))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉11655⩌⋺≴∭⊉12140∠↢(≴∭⊉3041⊭↱≴∭⊉3332))≹⇙⪍(≴∭⊉10002⇷≴∭⊉11400)∺≝⩲(≴∭⊉34355∕⩚≴∭⊉4131))⩱=NaN","reverse_text":"NaN=((≴∭⊉11655⩌⋺≴∭⊉12140∠↢(≴∭⊉3041⊭↱≴∭⊉3332))≹⇙⪍(≴∭⊉10002⇷≴∭⊉11400)∺≝⩲(≴∭⊉34355∕⩚≴∭⊉4131))⩱","cot":[{"info":"≴∭⊉11655⩌⋺≴∭⊉12140=≴∭⊉-24360","layer":3},{"info":"≴∭⊉3041⊭↱≴∭⊉3332=≴∭⊉560","layer":3},{"info":"≴∭⊉-24360∠↢≴∭⊉560=≴∭⊉122434","layer":2},{"info":"≴∭⊉10002⇷≴∭⊉11400=≴∭⊉23100","layer":3},{"info":"≴∭⊉34355∕⩚≴∭⊉4131=≴∭⊉-34361","layer":3},{"info":"≴∭⊉23100∺≝⩲≴∭⊉-34361=≴∭⊉316","layer":2},{"info":"≴∭⊉122434≹⇙⪍≴∭⊉316=NaN","layer":1},{"info":"NaN⩱=NaN","layer":0}]}
+{"id":963,"expression_no_base_symbol":"($2796$≎⪠$5359$⨼⩣($8849$⨻⩈⩔$9198$)⨭⪣($1084$↢$5273$⪛⫼$4176$≒∊$1145$))⋾⨃∁(($2872$⪘⫢$1523$)⊲⩕⊾($2203$⊜)≓∲($2840$⪨≂$4898$)⊋($5668$↱$1963$))","expression":"(≴∭⊉11103≎⪠≴∭⊉21424⨼⩣(≴∭⊉34541⨻⩈⩔≴∭⊉35550)⨭⪣(≴∭⊉3106↢≴∭⊉21242⪛⫼≴∭⊉15114≒∊≴∭⊉3224))⋾⨃∁((≴∭⊉11242⪘⫢≴∭⊉4304)⊲⩕⊾(≴∭⊉6265⊜)≓∲(≴∭⊉11165⪨≂≴∭⊉20165)⊋(≴∭⊉22345↱≴∭⊉5503))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":336156,"operation_count":15,"complexity_ratio":22410.4,"tree":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":2796,"base":7},"right_expr":{"type":"numeric_atoms","value":5359,"base":7}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":8849,"base":7},"right_expr":{"type":"numeric_atoms","value":9198,"base":7}}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":1084,"base":7},"right_expr":{"type":"numeric_atoms","value":5273,"base":7}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":4176,"base":7},"right_expr":{"type":"numeric_atoms","value":1145,"base":7}}}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2872,"base":7},"right_expr":{"type":"numeric_atoms","value":1523,"base":7}},"right_expr":{"type":"unary","operator":"⊜","unary_expr":{"type":"numeric_atoms","value":2203,"base":7}}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2840,"base":7},"right_expr":{"type":"numeric_atoms","value":4898,"base":7}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":5668,"base":7},"right_expr":{"type":"numeric_atoms","value":1963,"base":7}}}}},"used_operators":["212REbPD9h","kn8WO9XteQ","JxwMv5le6e","aNhz54LH3e","nEsXyWgiOK","hyuBjUqXlG","WR6HLWljOP","5KTvxBwnZo","s1XTVnmDOJ","DmTXOeWf9t","oacrs7FA3X","Eev2Q7dYIw","W4tP9CfskL","sdazOOVcIp","SR5kFfdi6N"],"dependent_operators":["eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","g55IO6H4Gj","D4vGDi5EA2","P8v4zCKN1o","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","rysDP5nf3Z","t8gj7n24qd","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2796","layer":4},{"info":"number node, value=5359","layer":4},{"info":"compute binary expreesion, left_input=2796, right_input=5359, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"number node, value=8849","layer":4},{"info":"number node, value=9198","layer":4},{"info":"compute binary expreesion, left_input=8849, right_input=9198, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=62391","layer":3},{"info":"compute binary expreesion, left_input=19558, right_input=62391, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":2},{"info":"number node, value=1084","layer":4},{"info":"number node, value=5273","layer":4},{"info":"compute binary expreesion, left_input=1084, right_input=5273, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=600","layer":3},{"info":"number node, value=4176","layer":4},{"info":"number node, value=1145","layer":4},{"info":"compute binary expreesion, left_input=4176, right_input=1145, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-3692","layer":3},{"info":"compute binary expreesion, left_input=600, right_input=-3692, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=-1705","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1705, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=nan","layer":1},{"info":"number node, value=2872","layer":4},{"info":"number node, value=1523","layer":4},{"info":"compute binary expreesion, left_input=2872, right_input=1523, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=5620","layer":3},{"info":"number node, value=2203","layer":4},{"info":"compute unary expreesion, input=2203, op_id = Eev2Q7dYIw, unary_op_definition = 'a⊜ = { ((a≦≮≮)⨸⪁(∥⊫a)) }', output=-7076","layer":3},{"info":"compute binary expreesion, left_input=5620, right_input=-7076, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=60130","layer":2},{"info":"number node, value=2840","layer":4},{"info":"number node, value=4898","layer":4},{"info":"compute binary expreesion, left_input=2840, right_input=4898, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=-4014","layer":3},{"info":"number node, value=5668","layer":4},{"info":"number node, value=1963","layer":4},{"info":"compute binary expreesion, left_input=5668, right_input=1963, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-5367","layer":3},{"info":"compute binary expreesion, left_input=-4014, right_input=-5367, op_id = W4tP9CfskL binary_op_definition= 'a⊋b = { (⇠((b⇤b)⩦(b≧⫂∧a))) , if ((a⊵↤)<=50 or b<=499 or (b+⪬∐218)==39) ; (((b⨰a)⇋≉)*(⪲⇎(b⩣⫁∢b))) , else }', output=-112794","layer":2},{"info":"compute binary expreesion, left_input=60130, right_input=-112794, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=316123","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=316123, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉11103≎⪠≴∭⊉21424⨼⩣(≴∭⊉34541⨻⩈⩔≴∭⊉35550)⨭⪣(≴∭⊉3106↢≴∭⊉21242⪛⫼≴∭⊉15114≒∊≴∭⊉3224))⋾⨃∁((≴∭⊉11242⪘⫢≴∭⊉4304)⊲⩕⊾(≴∭⊉6265⊜)≓∲(≴∭⊉11165⪨≂≴∭⊉20165)⊋(≴∭⊉22345↱≴∭⊉5503))=NaN","reverse_text":"NaN=(≴∭⊉11103≎⪠≴∭⊉21424⨼⩣(≴∭⊉34541⨻⩈⩔≴∭⊉35550)⨭⪣(≴∭⊉3106↢≴∭⊉21242⪛⫼≴∭⊉15114≒∊≴∭⊉3224))⋾⨃∁((≴∭⊉11242⪘⫢≴∭⊉4304)⊲⩕⊾(≴∭⊉6265⊜)≓∲(≴∭⊉11165⪨≂≴∭⊉20165)⊋(≴∭⊉22345↱≴∭⊉5503))","cot":[{"info":"≴∭⊉11103≎⪠≴∭⊉21424=≴∭⊉111010","layer":3},{"info":"≴∭⊉34541⨻⩈⩔≴∭⊉35550=≴∭⊉346620","layer":3},{"info":"≴∭⊉111010⨼⩣≴∭⊉346620=NaN","layer":2},{"info":"≴∭⊉3106↢≴∭⊉21242=≴∭⊉1515","layer":3},{"info":"≴∭⊉15114≒∊≴∭⊉3224=≴∭⊉-13523","layer":3},{"info":"≴∭⊉1515⪛⫼≴∭⊉-13523=≴∭⊉-4654","layer":2},{"info":"NaN⨭⪣≴∭⊉-4654=NaN","layer":1},{"info":"≴∭⊉11242⪘⫢≴∭⊉4304=≴∭⊉22246","layer":3},{"info":"≴∭⊉6265⊜=≴∭⊉-26426","layer":3},{"info":"≴∭⊉22246⊲⩕⊾≴∭⊉-26426=≴∭⊉340210","layer":2},{"info":"≴∭⊉11165⪨≂≴∭⊉20165=≴∭⊉-14463","layer":3},{"info":"≴∭⊉22345↱≴∭⊉5503=≴∭⊉-21435","layer":3},{"info":"≴∭⊉-14463⊋≴∭⊉-21435=≴∭⊉-646563","layer":2},{"info":"≴∭⊉340210≓∲≴∭⊉-646563=≴∭⊉2454433","layer":1},{"info":"NaN⋾⨃∁≴∭⊉2454433=NaN","layer":0}]}
+{"id":964,"expression_no_base_symbol":"($4703$≁$3867$⩨$4086$⋾⨃∁$2102$)≥⨤⩑(⩦⊞($1567$⇮⋭$2561$))∙⊟(($3242$⫘$2946$)⫘$1396$⫗⊷⫓$1865$⇡)","expression":"(≴∭⊉16466≁≴∭⊉14163⩨≴∭⊉14625⋾⨃∁≴∭⊉6062)≥⨤⩑(⩦⊞(≴∭⊉4366⇮⋭≴∭⊉10316))∙⊟((≴∭⊉12311⫘≴∭⊉11406)⫘≴∭⊉4033⫗⊷⫓≴∭⊉5303⇡)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1468934,"operation_count":11,"complexity_ratio":133539.45454545456,"tree":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":4703,"base":7},"right_expr":{"type":"numeric_atoms","value":3867,"base":7}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":4086,"base":7},"right_expr":{"type":"numeric_atoms","value":2102,"base":7}}},"right_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":1567,"base":7},"right_expr":{"type":"numeric_atoms","value":2561,"base":7}}}},"right_expr":{"type":"unary","operator":"⇡","unary_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":3242,"base":7},"right_expr":{"type":"numeric_atoms","value":2946,"base":7}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":1396,"base":7},"right_expr":{"type":"numeric_atoms","value":1865,"base":7}}}}},"used_operators":["SxTAKzQCrw","gJLn6v0xnP","2DlMacCsIx","8N2wDY1A35","212REbPD9h","u7fv1HBiaC","vkpjKywKVM","UqFzSgLMvQ","48vC8HMD2b","zashukvMKz"],"dependent_operators":["6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","3sJ7IOPOlU","sJAwomhLZr","4JB6nKBMSY","k2HlF1dBQh","BiWNJpBvwn","YSKBFp38Pu","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4703","layer":4},{"info":"number node, value=3867","layer":4},{"info":"compute binary expreesion, left_input=4703, right_input=3867, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=79607","layer":3},{"info":"number node, value=4086","layer":4},{"info":"number node, value=2102","layer":4},{"info":"compute binary expreesion, left_input=4086, right_input=2102, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=44158722","layer":3},{"info":"compute binary expreesion, left_input=79607, right_input=44158722, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-1662","layer":2},{"info":"number node, value=1567","layer":4},{"info":"number node, value=2561","layer":4},{"info":"compute binary expreesion, left_input=1567, right_input=2561, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute unary expreesion, input=-473, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)���≓≎(a↺a)) , else }', output=-1002","layer":2},{"info":"compute binary expreesion, left_input=-1662, right_input=-1002, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=nan","layer":1},{"info":"number node, value=3242","layer":4},{"info":"number node, value=2946","layer":4},{"info":"compute binary expreesion, left_input=3242, right_input=2946, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=3816997","layer":3},{"info":"number node, value=1396","layer":4},{"info":"number node, value=1865","layer":4},{"info":"compute binary expreesion, left_input=1396, right_input=1865, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=3816997, right_input=-134, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = UqFzSgLMvQ, unary_op_definition = 'a⇡ = { (((a⇴a)⪇≇⋚(∤27))⇤((a⩍⋽⫝̸27)⩠)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉16466≁≴∭⊉14163⩨≴∭⊉14625⋾⨃∁≴∭⊉6062)≥⨤⩑(⩦⊞(≴∭⊉4366⇮⋭≴∭⊉10316))∙⊟((≴∭⊉12311⫘≴∭⊉11406)⫘≴∭⊉4033⫗⊷⫓≴∭⊉5303⇡)=NaN","reverse_text":"NaN=(≴∭⊉16466≁≴∭⊉14163⩨≴∭⊉14625⋾⨃∁≴∭⊉6062)≥⨤⩑(⩦⊞(≴∭⊉4366⇮⋭≴∭⊉10316))∙⊟((≴∭⊉12311⫘≴∭⊉11406)⫘≴∭⊉4033⫗⊷⫓≴∭⊉5303⇡)","cot":[{"info":"≴∭⊉16466≁≴∭⊉14163=≴∭⊉451043","layer":3},{"info":"≴∭⊉14625⋾⨃∁≴∭⊉6062=≴∭⊉1044225426","layer":3},{"info":"≴∭⊉451043⩨≴∭⊉1044225426=≴∭⊉-4563","layer":2},{"info":"≴∭⊉4366⇮⋭≴∭⊉10316=≴∭⊉-1244","layer":3},{"info":"⩦⊞≴∭⊉-1244=≴∭⊉-2631","layer":2},{"info":"≴∭⊉-4563≥⨤⩑≴∭⊉-2631=NaN","layer":1},{"info":"≴∭⊉12311⫘≴∭⊉11406=≴∭⊉44305162","layer":3},{"info":"≴∭⊉4033⫗⊷⫓≴∭⊉5303=≴∭⊉-251","layer":3},{"info":"≴∭⊉44305162⫘≴∭⊉-251=NaN","layer":2},{"info":"NaN⇡=NaN","layer":1},{"info":"NaN∙⊟NaN=NaN","layer":0}]}
+{"id":965,"expression_no_base_symbol":"(($3774$∽$1854$)⩘$3870$⊮⊟↴$5769$)⨼⩣($1164$⫗⊷⫓$2372$⨁⊸⫻)⋝⋈⪟((≪$5784$)∣($6611$⫢⨠$1199$)⫚↹⊑(↯⪼($2556$≭$1809$)))","expression":"((≴∭⊉14001∽≴∭⊉5256)⩘≴∭⊉14166⊮⊟↴≴∭⊉22551)⨼⩣(≴∭⊉3252⫗⊷⫓≴∭⊉6626⨁⊸⫻)⋝⋈⪟((≪≴∭⊉22602)∣(≴∭⊉25163⫢⨠≴∭⊉3332)⫚↹⊑(↯⪼(≴∭⊉10311≭≴∭⊉5163)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1916570,"operation_count":13,"complexity_ratio":147428.46153846153,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":3774,"base":7},"right_expr":{"type":"numeric_atoms","value":1854,"base":7}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":3870,"base":7},"right_expr":{"type":"numeric_atoms","value":5769,"base":7}}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":1164,"base":7},"right_expr":{"type":"numeric_atoms","value":2372,"base":7}}}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"numeric_atoms","value":5784,"base":7}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":6611,"base":7},"right_expr":{"type":"numeric_atoms","value":1199,"base":7}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2556,"base":7},"right_expr":{"type":"numeric_atoms","value":1809,"base":7}}}}},"used_operators":["2DDjHMKMc0","JxwMv5le6e","cHh1gJQ2o6","y4ImoPnbV5","QDVgd2eftb","glklzrTFfD","zashukvMKz","dfKe02y8D2","PPChnnnBFF","Qtd6bqUJcN","xlXykHWxX1","8jW3W4yZS5","rxpJgHHUmx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","NTOWxs364D","QMFrweE19q","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","W4YGzv6Whe","rysDP5nf3Z","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3774","layer":4},{"info":"number node, value=1854","layer":4},{"info":"compute binary expreesion, left_input=3774, right_input=1854, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-24254","layer":3},{"info":"number node, value=3870","layer":4},{"info":"number node, value=5769","layer":4},{"info":"compute binary expreesion, left_input=3870, right_input=5769, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-24254, right_input=0, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":2},{"info":"number node, value=1164","layer":4},{"info":"number node, value=2372","layer":4},{"info":"compute binary expreesion, left_input=1164, right_input=2372, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"compute unary expreesion, input=-134, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=-268","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-268, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":1},{"info":"number node, value=5784","layer":4},{"info":"compute unary expreesion, input=5784, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":3},{"info":"number node, value=6611","layer":4},{"info":"number node, value=1199","layer":4},{"info":"compute binary expreesion, left_input=6611, right_input=1199, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=913, right_input=160, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=44","layer":2},{"info":"number node, value=2556","layer":4},{"info":"number node, value=1809","layer":4},{"info":"compute binary expreesion, left_input=2556, right_input=1809, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":2},{"info":"compute binary expreesion, left_input=44, right_input=-21, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-447, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉14001∽≴∭⊉5256)⩘≴∭⊉14166⊮⊟↴≴∭⊉22551)⨼⩣(≴∭⊉3252⫗⊷⫓≴∭⊉6626⨁⊸⫻)⋝⋈⪟((≪≴∭⊉22602)∣(≴∭⊉25163⫢⨠≴∭⊉3332)⫚↹⊑(↯⪼(≴∭⊉10311≭≴∭⊉5163)))=NaN","reverse_text":"NaN=((≴∭⊉14001∽≴∭⊉5256)⩘≴∭⊉14166⊮⊟↴≴∭⊉22551)⨼⩣(≴∭⊉3252⫗⊷⫓≴∭⊉6626⨁⊸⫻)⋝⋈⪟((≪≴∭⊉22602)∣(≴∭⊉25163⫢⨠≴∭⊉3332)⫚↹⊑(↯⪼(≴∭⊉10311≭≴∭⊉5163)))","cot":[{"info":"≴∭⊉14001∽≴∭⊉5256=≴∭⊉-130466","layer":3},{"info":"≴∭⊉14166⊮⊟↴≴∭⊉22551=≴∭⊉0","layer":3},{"info":"≴∭⊉-130466⩘≴∭⊉0=≴∭⊉316","layer":2},{"info":"≴∭⊉3252⫗⊷⫓≴∭⊉6626=≴∭⊉-251","layer":3},{"info":"≴∭⊉-251⨁⊸⫻=≴∭⊉-532","layer":2},{"info":"≴∭⊉316⨼⩣≴∭⊉-532=NaN","layer":1},{"info":"≪≴∭⊉22602=≴∭⊉2443","layer":3},{"info":"≴∭⊉25163⫢⨠≴∭⊉3332=≴∭⊉316","layer":3},{"info":"≴∭⊉2443∣≴∭⊉316=≴∭⊉62","layer":2},{"info":"≴∭⊉10311≭≴∭⊉5163=NaN","layer":3},{"info":"↯⪼NaN=≴∭⊉-30","layer":2},{"info":"≴∭⊉62⫚↹⊑≴∭⊉-30=≴∭⊉-1206","layer":1},{"info":"NaN⋝⋈⪟≴∭⊉-1206=NaN","layer":0}]}
+{"id":966,"expression_no_base_symbol":"($1554$⪘⫢$1494$⩒⫫($3573$*$8161$)⨽⪊≇)⋥⋵⩄(↑(($2463$⫃⨇$3933$)⪡$4688$⊴$7472$))","expression":"(≴∭⊉4350⪘⫢≴∭⊉4233⩒⫫(≴∭⊉13263*≴∭⊉32536)⨽⪊≇)⋥⋵⩄(↑((≴∭⊉10116⫃⨇≴∭⊉14316)⪡≴∭⊉16445⊴≴∭⊉30533))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":11186,"operation_count":9,"complexity_ratio":1242.888888888889,"tree":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"unary","operator":"⨽⪊≇","unary_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1554,"base":7},"right_expr":{"type":"numeric_atoms","value":1494,"base":7}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3573,"base":7},"right_expr":{"type":"numeric_atoms","value":8161,"base":7}}}},"right_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":2463,"base":7},"right_expr":{"type":"numeric_atoms","value":3933,"base":7}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":4688,"base":7},"right_expr":{"type":"numeric_atoms","value":7472,"base":7}}}}},"used_operators":["7t3wd0Fuz7","nlCqmYiOvY","KFSx94NKJn","oacrs7FA3X","9HNa5Wba9A","tR7O2zTn5j","oraRL2iQuh","09Ly4LVMIf","Nsiff2A1zJ"],"dependent_operators":["IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","W4YGzv6Whe","sdazOOVcIp","XIabStNQrY","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","dWAJyo7jo9","14qkJME0vr"],"result":"≴∭⊉221","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1554","layer":4},{"info":"number node, value=1494","layer":4},{"info":"compute binary expreesion, left_input=1554, right_input=1494, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2984","layer":3},{"info":"number node, value=3573","layer":4},{"info":"number node, value=8161","layer":4},{"info":"compute binary expreesion, left_input=3573, right_input=8161, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=29159253","layer":3},{"info":"compute binary expreesion, left_input=2984, right_input=29159253, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=2682","layer":2},{"info":"compute unary expreesion, input=2682, op_id = nlCqmYiOvY, unary_op_definition = 'a⨽⪊≇ = { ((a⇋≉)⪨≂(a+216)) }', output=4838","layer":1},{"info":"number node, value=2463","layer":4},{"info":"number node, value=3933","layer":4},{"info":"compute binary expreesion, left_input=2463, right_input=3933, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-15764","layer":3},{"info":"number node, value=4688","layer":4},{"info":"number node, value=7472","layer":4},{"info":"compute binary expreesion, left_input=4688, right_input=7472, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-15764, right_input=nan, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=32496","layer":2},{"info":"compute unary expreesion, input=32496, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":1},{"info":"compute binary expreesion, left_input=4838, right_input=192, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉4350⪘⫢≴∭⊉4233⩒⫫(≴∭⊉13263*≴∭⊉32536)⨽⪊≇)⋥⋵⩄(↑((≴∭⊉10116⫃⨇≴∭⊉14316)⪡≴∭⊉16445⊴≴∭⊉30533))=≴∭⊉221","reverse_text":"≴∭⊉221=(≴∭⊉4350⪘⫢≴∭⊉4233⩒⫫(≴∭⊉13263*≴∭⊉32536)⨽⪊≇)⋥⋵⩄(↑((≴∭⊉10116⫃⨇≴∭⊉14316)⪡≴∭⊉16445⊴≴∭⊉30533))","cot":[{"info":"≴∭⊉4350⪘⫢≴∭⊉4233=≴∭⊉11462","layer":3},{"info":"≴∭⊉13263*≴∭⊉32536=≴∭⊉502564254","layer":3},{"info":"≴∭⊉11462⩒⫫≴∭⊉502564254=≴∭⊉10551","layer":2},{"info":"≴∭��10551⨽⪊≇=≴∭⊉20051","layer":1},{"info":"≴∭⊉10116⫃⨇≴∭⊉14316=≴∭⊉-63650","layer":3},{"info":"≴∭⊉16445⊴≴∭⊉30533=NaN","layer":3},{"info":"≴∭⊉-63650⪡NaN=≴∭⊉163512","layer":2},{"info":"↑≴∭⊉163512=≴∭⊉363","layer":1},{"info":"≴∭⊉20051⋥⋵⩄≴∭⊉363=≴∭⊉221","layer":0}]}
+{"id":967,"expression_no_base_symbol":"≯((≸≮$1304$)⊝⪿⪼($5069$⩟))⫘($2672$⫗⊷⫓$1976$⊍)","expression":"≯((≸≮≴∭⊉3542)⊝⪿⪼(≴∭⊉20531⩟))⫘(≴∭⊉10535⫗⊷⫓≴∭⊉5522⊍)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1544713,"operation_count":7,"complexity_ratio":220673.2857142857,"tree":{"type":"unary","operator":"≯","unary_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"numeric_atoms","value":1304,"base":7}},"right_expr":{"type":"unary","operator":"⩟","unary_expr":{"type":"numeric_atoms","value":5069,"base":7}}},"right_expr":{"type":"unary","operator":"⊍","unary_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":2672,"base":7},"right_expr":{"type":"numeric_atoms","value":1976,"base":7}}}}},"used_operators":["keWfFq85dY","48vC8HMD2b","3Oe9XWJUTD","AljMvE3RRm","fOIeswaMU4","3nqY3DE9mg","zashukvMKz"],"dependent_operators":["g55IO6H4Gj","JLbD19bQDL","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","W4YGzv6Whe","Qy55tPpLXF","8w2t5hMYqp","12rbrZMWeM","8w2t5hMYqp","AF7qkfDlqP","12rbrZMWeM","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1304","layer":4},{"info":"compute unary expreesion, input=1304, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=nan","layer":3},{"info":"number node, value=5069","layer":4},{"info":"compute unary expreesion, input=5069, op_id = fOIeswaMU4, unary_op_definition = 'a⩟ = { (⊄⩳↩((a⋳⪒a)+(155⋥≓≎a))) }', output=-44394","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-44394, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=nan","layer":2},{"info":"number node, value=2672","layer":4},{"info":"number node, value=1976","layer":4},{"info":"compute binary expreesion, left_input=2672, right_input=1976, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"compute unary expreesion, input=-134, op_id = 3nqY3DE9mg, unary_op_definition = 'a⊍ = { (⊄⩳↩(⨑⩽⪐(a⋳⪒a))) }', output=-4893","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-4893, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"≯((≸≮≴∭⊉3542)⊝⪿⪼(≴∭⊉20531⩟))⫘(≴∭⊉10535⫗⊷⫓≴∭⊉5522⊍)=NaN","reverse_text":"NaN=≯((≸≮≴∭⊉3542)⊝⪿⪼(≴∭⊉20531⩟))⫘(≴∭⊉10535⫗⊷⫓≴∭⊉5522⊍)","cot":[{"info":"≸≮≴∭⊉3542=NaN","layer":3},{"info":"≴∭⊉20531⩟=≴∭⊉-243300","layer":3},{"info":"NaN⊝⪿⪼≴∭⊉-243300=NaN","layer":2},{"info":"≴∭⊉10535⫗⊷⫓≴∭⊉5522=≴∭⊉-251","layer":3},{"info":"≴∭⊉-251⊍=≴∭⊉-20160","layer":2},{"info":"NaN⫘≴∭⊉-20160=NaN","layer":1},{"info":"≯NaN=NaN","layer":0}]}
+{"id":968,"expression_no_base_symbol":"((⪓⩚$1153$)⊉≛↸(∓⪦$5941$))⪭($4095$⇡⇂$6276$⨐⩸⫘$1045$∘$5389$)⇼⇔∾((⊬↢(≸≮$1351$))↬⩅∪)","expression":"((⪓⩚≴∭⊉3235)⊉≛↸(∓⪦≴∭⊉23215))⪭(≴∭⊉14640⇡⇂≴∭⊉24204⨐⩸⫘≴∭⊉3022∘≴∭⊉21466)⇼⇔∾((⊬↢(≸≮≴∭⊉3640))↬⩅∪)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":56924,"operation_count":11,"complexity_ratio":5174.909090909091,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"numeric_atoms","value":1153,"base":7}},"right_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"numeric_atoms","value":5941,"base":7}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":4095,"base":7},"right_expr":{"type":"numeric_atoms","value":6276,"base":7}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":1045,"base":7},"right_expr":{"type":"numeric_atoms","value":5389,"base":7}}}},"right_expr":{"type":"unary","operator":"↬⩅∪","unary_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"numeric_atoms","value":1351,"base":7}}}}},"used_operators":["tifHPKVTfV","j9kHMeSvPp","DZ8iAZOCBD","u0R0Locfp2","D309nIvmXG","fu6greOZ01","UMwdvZNt44","Z5m6OM72h2","VJ330n2nnx","WPoGxAaPR1","AljMvE3RRm"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","COABgblf1C","xUOZtlo3hN","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","3ViojmjbAp","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","eH2TOUuTDT","rysDP5nf3Z","D4vGDi5EA2","23Mk6UjR3U","u6S6b8DprG","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb"],"result":"NaN","longer_result_info":{"target_base":7,"flag":false},"cot_info":[{"info":"number node, value=1153","layer":4},{"info":"compute unary expreesion, input=1153, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":3},{"info":"number node, value=5941","layer":4},{"info":"compute unary expreesion, input=5941, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=5533","layer":3},{"info":"compute binary expreesion, left_input=426, right_input=5533, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=852","layer":2},{"info":"number node, value=4095","layer":4},{"info":"number node, value=6276","layer":4},{"info":"compute binary expreesion, left_input=4095, right_input=6276, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"number node, value=1045","layer":4},{"info":"number node, value=5389","layer":4},{"info":"compute binary expreesion, left_input=1045, right_input=5389, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=2090","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2090, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=852, right_input=nan, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=nan","layer":1},{"info":"number node, value=1351","layer":4},{"info":"compute unary expreesion, input=1351, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = VJ330n2nnx, unary_op_definition = 'a↬⩅∪ = { (a≦≮≮) , if (↽≂a)!=185 or a>=376 or a<=585 ; (a⋷a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((⪓⩚≴∭⊉3235)⊉≛↸(∓⪦≴∭⊉23215))⪭(≴∭⊉14640⇡⇂≴∭⊉24204⨐⩸⫘≴∭⊉3022∘≴∭⊉21466)⇼⇔∾((⊬↢(≸≮≴∭⊉3640))↬⩅∪)=NaN","reverse_text":"NaN=((⪓⩚≴∭⊉3235)⊉≛↸(∓⪦≴∭⊉23215))⪭(≴∭⊉14640⇡⇂≴∭⊉24204⨐⩸⫘≴∭⊉3022∘≴∭⊉21466)⇼⇔∾((⊬↢(≸≮≴∭⊉3640))↬⩅∪)","cot":[{"info":"⪓⩚≴∭⊉3235=≴∭⊉1146","layer":3},{"info":"∓⪦≴∭⊉23215=≴∭⊉22063","layer":3},{"info":"≴∭⊉1146⊉≛↸≴∭⊉22063=≴∭⊉2325","layer":2},{"info":"≴∭⊉14640⇡⇂≴∭⊉24204=NaN","layer":3},{"info":"≴∭⊉3022∘≴∭⊉21466=≴∭⊉6044","layer":3},{"info":"NaN⨐⩸⫘≴∭⊉6044=NaN","layer":2},{"info":"≴∭⊉2325⪭NaN=NaN","layer":1},{"info":"≸≮≴∭⊉3640=NaN","layer":3},{"info":"⊬↢NaN=NaN","layer":2},{"info":"NaN↬⩅∪=NaN","layer":1},{"info":"NaN⇼⇔∾NaN=NaN","layer":0}]}
+{"id":969,"expression_no_base_symbol":"(($4694$⪭$2462$)∳⫺(↡$3593$)∑⇟⊟($2977$⇴$4179$∁))⨿((($4451$⪹)⨓($1825$↸$1934$))⨐(($2513$⋾⨃∁$1205$)⊢($1265$⫥∨⫟$4899$)))","expression":"((≴∭⊉16454⪭≴∭⊉10115)∳⫺(↡≴∭⊉13322)∑⇟⊟(≴∭⊉11452⇴≴∭⊉15120∁))⨿(((≴∭⊉15656⪹)⨓(≴∭⊉5215↸≴∭⊉5432))⨐((≴∭⊉10220⋾⨃∁≴∭⊉3341)⊢(≴∭⊉3455⫥∨⫟≴∭⊉20166)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":5506,"operation_count":14,"complexity_ratio":393.2857142857143,"tree":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":4694,"base":7},"right_expr":{"type":"numeric_atoms","value":2462,"base":7}},"right_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"numeric_atoms","value":3593,"base":7}}},"right_expr":{"type":"unary","operator":"∁","unary_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":2977,"base":7},"right_expr":{"type":"numeric_atoms","value":4179,"base":7}}}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":4451,"base":7}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":1825,"base":7},"right_expr":{"type":"numeric_atoms","value":1934,"base":7}}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":2513,"base":7},"right_expr":{"type":"numeric_atoms","value":1205,"base":7}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1265,"base":7},"right_expr":{"type":"numeric_atoms","value":4899,"base":7}}}}},"used_operators":["abYXlopdE0","U7g4x0WXJJ","AzXXKTstlj","j9kHMeSvPp","MXaNJeIAZ3","jdwGQqwJi5","4JB6nKBMSY","Noe24qw2ks","3ViojmjbAp","B3sABdIn96","1eCjFl0mb9","5twsqlHp2o","212REbPD9h","KYD54nUTWz"],"dependent_operators":["gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","COABgblf1C","xUOZtlo3hN","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","2DDjHMKMc0","sdazOOVcIp","NTOWxs364D","COABgblf1C","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","9FxExcQeMw","e1ybzncUwg","QMFrweE19q","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","8HhzD0ZcuI","rGHVDoGpnC"],"result":"≴∭⊉124","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4694","layer":4},{"info":"number node, value=2462","layer":4},{"info":"compute binary expreesion, left_input=4694, right_input=2462, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"number node, value=3593","layer":4},{"info":"compute unary expreesion, input=3593, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=32337","layer":3},{"info":"compute binary expreesion, left_input=5, right_input=32337, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-64592","layer":2},{"info":"number node, value=2977","layer":4},{"info":"number node, value=4179","layer":4},{"info":"compute binary expreesion, left_input=2977, right_input=4179, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=25834","layer":3},{"info":"compute unary expreesion, input=25834, op_id = jdwGQqwJi5, unary_op_definition = 'a∁ = { (a⋝⋈⪟a) }', output=25834","layer":2},{"info":"compute binary expreesion, left_input=-64592, right_input=25834, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=4451","layer":4},{"info":"compute unary expreesion, input=4451, op_id = B3sABdIn96, unary_op_definition = 'a⪹ = { ((402⫡⨏a)⩷∴(≉a)) }', output=13394","layer":3},{"info":"number node, value=1825","layer":4},{"info":"number node, value=1934","layer":4},{"info":"compute binary expreesion, left_input=1825, right_input=1934, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=1825","layer":3},{"info":"compute binary expreesion, left_input=13394, right_input=1825, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1828","layer":2},{"info":"number node, value=2513","layer":4},{"info":"number node, value=1205","layer":4},{"info":"compute binary expreesion, left_input=2513, right_input=1205, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=14505696","layer":3},{"info":"number node, value=1265","layer":4},{"info":"number node, value=4899","layer":4},{"info":"compute binary expreesion, left_input=1265, right_input=4899, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=14505696, right_input=nan, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-29011636","layer":2},{"info":"compute binary expreesion, left_input=-1828, right_input=-29011636, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=3656","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=3656, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=67","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉16454⪭≴∭⊉10115)∳⫺(↡≴∭⊉13322)∑⇟⊟(≴∭⊉11452⇴≴∭⊉15120∁))⨿(((≴∭⊉15656⪹)⨓(≴∭⊉5215↸≴∭⊉5432))⨐((≴∭⊉10220⋾⨃∁≴∭⊉3341)⊢(≴∭⊉3455⫥∨⫟≴∭⊉20166)))=≴∭⊉124","reverse_text":"≴∭⊉124=((≴∭⊉16454⪭≴∭⊉10115)∳⫺(↡≴∭⊉13322)∑⇟⊟(≴∭⊉11452⇴≴∭⊉15120∁))⨿(((≴∭⊉15656⪹)⨓(≴∭⊉5215↸≴∭⊉5432))⨐((≴∭⊉10220⋾⨃∁≴∭⊉3341)⊢(≴∭⊉3455⫥∨⫟≴∭⊉20166)))","cot":[{"info":"≴∭⊉16454⪭≴∭⊉10115=≴∭⊉5","layer":3},{"info":"↡≴∭⊉13322=≴∭⊉163164","layer":3},{"info":"≴∭⊉5∳⫺≴∭⊉163164=≴∭⊉-356213","layer":2},{"info":"≴∭⊉11452⇴≴∭⊉15120=≴∭⊉135214","layer":3},{"info":"≴∭⊉135214∁=≴∭⊉135214","layer":2},{"info":"≴∭⊉-356213∑⇟⊟≴∭⊉135214=NaN","layer":1},{"info":"≴∭⊉15656⪹=≴∭⊉54023","layer":3},{"info":"≴∭⊉5215↸≴∭⊉5432=≴∭⊉5215","layer":3},{"info":"≴∭⊉54023⨓≴∭⊉5215=≴∭⊉-5221","layer":2},{"info":"≴∭⊉10220⋾⨃∁≴∭⊉3341=≴∭⊉234203442","layer":3},{"info":"≴∭⊉3455⫥∨⫟≴∭⊉20166=NaN","layer":3},{"info":"≴∭⊉234203442⊢NaN=≴∭⊉-501411013","layer":2},{"info":"≴∭⊉-5221⨐≴∭⊉-501411013=≴∭⊉13442","layer":1},{"info":"NaN⨿≴∭⊉13442=≴∭⊉124","layer":0}]}
+{"id":970,"expression_no_base_symbol":"($3000$⇤$2119$+⪬∐($2210$∀⇚≩$1354$))⫁(($3649$⊱⇼⊻$1966$)≴⪞⇿($5051$+⇶⊼$1856$))⋻⩜⩜(⨛$7544$⪟⇏$6442$∀⇚≩($1677$⫰⋱$6413$))","expression":"(≴∭⊉11514⇤≴∭⊉6115+⪬∐(≴∭⊉6305∀⇚≩≴∭⊉3643))⫁((≴∭⊉13432⊱⇼⊻≴∭⊉5506)≴⪞⇿(≴∭⊉20504+⇶⊼≴∭⊉5261))⋻⩜⩜(⨛≴∭⊉30665⪟⇏≴∭⊉24532∀⇚≩(≴∭⊉4614⫰⋱≴∭⊉24461))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":15886,"operation_count":12,"complexity_ratio":1323.8333333333333,"tree":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":3000,"base":7},"right_expr":{"type":"numeric_atoms","value":2119,"base":7}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2210,"base":7},"right_expr":{"type":"numeric_atoms","value":1354,"base":7}}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":3649,"base":7},"right_expr":{"type":"numeric_atoms","value":1966,"base":7}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":5051,"base":7},"right_expr":{"type":"numeric_atoms","value":1856,"base":7}}}},"right_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":7544,"base":7},"right_expr":{"type":"numeric_atoms","value":6442,"base":7}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":1677,"base":7},"right_expr":{"type":"numeric_atoms","value":6413,"base":7}}}}},"used_operators":["oDCm7WA9JY","0ajvFaJAv0","2GS7woTJqF","YSKBFp38Pu","LRNGc0VcxI","lvlrscuwVU","FyVja0WsTP","TpPTUOHfaN","CoMdbyAt7R","GODebY97qR","6o9Blt3TJ6"],"dependent_operators":["mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","cHh1gJQ2o6","AHs5Up7iyr","g55IO6H4Gj","D4vGDi5EA2","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","X99M06cbEe","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","AHs5Up7iyr","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF"],"result":"≴∭⊉635","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3000","layer":4},{"info":"number node, value=2119","layer":4},{"info":"compute binary expreesion, left_input=3000, right_input=2119, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-22747","layer":3},{"info":"number node, value=2210","layer":4},{"info":"number node, value=1354","layer":4},{"info":"compute binary expreesion, left_input=2210, right_input=1354, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-22747, right_input=nan, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=68241","layer":2},{"info":"number node, value=3649","layer":4},{"info":"number node, value=1966","layer":4},{"info":"compute binary expreesion, left_input=3649, right_input=1966, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"number node, value=5051","layer":4},{"info":"number node, value=1856","layer":4},{"info":"compute binary expreesion, left_input=5051, right_input=1856, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=434, right_input=nan, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=52076","layer":2},{"info":"compute binary expreesion, left_input=68241, right_input=52076, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":1},{"info":"number node, value=7544","layer":4},{"info":"number node, value=6442","layer":4},{"info":"compute binary expreesion, left_input=7544, right_input=6442, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":3},{"info":"number node, value=1677","layer":4},{"info":"number node, value=6413","layer":4},{"info":"compute binary expreesion, left_input=1677, right_input=6413, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-1644","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=-1644, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=1887","layer":2},{"info":"compute unary expreesion, input=1887, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=320","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉11514⇤≴∭⊉6115+⪬∐(≴∭⊉6305∀⇚≩≴∭⊉3643))⫁((≴∭⊉13432⊱⇼⊻≴∭⊉5506)≴⪞⇿(≴∭⊉20504+⇶⊼≴∭⊉5261))⋻⩜⩜(⨛≴∭⊉30665⪟⇏≴∭⊉24532∀⇚≩(≴∭⊉4614⫰⋱≴∭⊉24461))=≴∭⊉635","reverse_text":"≴∭⊉635=(≴∭⊉11514⇤≴∭⊉6115+⪬∐(≴∭⊉6305∀⇚≩≴∭⊉3643))⫁((≴∭⊉13432⊱⇼⊻≴∭⊉5506)≴⪞⇿(≴∭⊉20504+⇶⊼≴∭⊉5261))⋻⩜⩜(⨛≴∭⊉30665⪟⇏≴∭⊉24532∀⇚≩(≴∭⊉4614⫰⋱≴∭⊉24461))","cot":[{"info":"≴∭⊉11514⇤≴∭⊉6115=≴∭⊉-123214","layer":3},{"info":"≴∭⊉6305∀⇚≩≴∭⊉3643=NaN","layer":3},{"info":"≴∭⊉-123214+⪬∐NaN=≴∭⊉402645","layer":2},{"info":"≴∭⊉13432⊱⇼⊻≴∭⊉5506=≴∭⊉1160","layer":3},{"info":"≴∭⊉20504+⇶⊼≴∭⊉5261=NaN","layer":3},{"info":"≴∭⊉1160≴⪞⇿NaN=≴∭⊉304553","layer":2},{"info":"≴∭⊉402645⫁≴∭⊉304553=≴∭⊉316","layer":1},{"info":"≴∭⊉30665⪟⇏≴∭⊉24532=≴∭⊉-1","layer":3},{"info":"≴∭⊉4614⫰⋱≴∭⊉24461=≴∭⊉-4536","layer":3},{"info":"≴∭⊉-1∀⇚≩≴∭⊉-4536=≴∭⊉5334","layer":2},{"info":"⨛≴∭⊉5334=NaN","layer":1},{"info":"≴∭⊉316⋻⩜⩜NaN=≴∭⊉635","layer":0}]}
+{"id":971,"expression_no_base_symbol":"(($6274$⨐⩸⫘$4218$⊉≛↸(⊈$1774$))⩘)⪕(($1248$∛$5803$)∇⊂⋱($2625$≥⨤⩑$1603$))⫗⊷⫓($4006$⫰⋱$3478$⫥∨⫟$5450$⇤$1225$)","expression":"((≴∭⊉24202⨐⩸⫘≴∭⊉15204⊉≛↸(⊈≴∭⊉5113))⩘)⪕((≴∭⊉3432∛≴∭⊉22630)∇⊂⋱(≴∭⊉10440≥⨤⩑≴∭⊉4450))⫗⊷⫓(≴∭⊉14452⫰⋱≴∭⊉13066⫥∨⫟≴∭⊉21614⇤≴∭⊉3400)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":87889,"operation_count":12,"complexity_ratio":7324.083333333333,"tree":{"type":"binary","operator":"⪕","left_expr":{"type":"unary","operator":"⩘","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":6274,"base":7},"right_expr":{"type":"numeric_atoms","value":4218,"base":7}},"right_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"numeric_atoms","value":1774,"base":7}}}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":1248,"base":7},"right_expr":{"type":"numeric_atoms","value":5803,"base":7}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":2625,"base":7},"right_expr":{"type":"numeric_atoms","value":1603,"base":7}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":4006,"base":7},"right_expr":{"type":"numeric_atoms","value":3478,"base":7}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":5450,"base":7},"right_expr":{"type":"numeric_atoms","value":1225,"base":7}}}}},"used_operators":["umQnsF7QlU","wvHyciQT5X","DZ8iAZOCBD","fu6greOZ01","RHru8klgy8","zashukvMKz","nhYeJWJD5X","w2537kitQq","gJLn6v0xnP","KYD54nUTWz","6o9Blt3TJ6","YSKBFp38Pu"],"dependent_operators":["P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","9ICcGScMcE","dfKe02y8D2","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","12rbrZMWeM","xUOZtlo3hN","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q"],"result":"≴∭⊉3260","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6274","layer":4},{"info":"number node, value=4218","layer":4},{"info":"compute binary expreesion, left_input=6274, right_input=4218, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1774","layer":4},{"info":"compute unary expreesion, input=1774, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-1948","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1948, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = wvHyciQT5X, unary_op_definition = 'a⩘ = { (≦∁(a⫚↹⊑129)) }', output=67","layer":1},{"info":"number node, value=1248","layer":4},{"info":"number node, value=5803","layer":4},{"info":"compute binary expreesion, left_input=1248, right_input=5803, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":3},{"info":"number node, value=2625","layer":4},{"info":"number node, value=1603","layer":4},{"info":"compute binary expreesion, left_input=2625, right_input=1603, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=-670, right_input=1234, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=-2468","layer":2},{"info":"number node, value=4006","layer":4},{"info":"number node, value=3478","layer":4},{"info":"compute binary expreesion, left_input=4006, right_input=3478, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-3973","layer":3},{"info":"number node, value=5450","layer":4},{"info":"number node, value=1225","layer":4},{"info":"compute binary expreesion, left_input=5450, right_input=1225, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-30527","layer":3},{"info":"compute binary expreesion, left_input=-3973, right_input=-30527, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-2468, right_input=nan, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=-134, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=1169","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉24202⨐⩸⫘≴∭⊉15204⊉≛↸(⊈≴∭⊉5113))⩘)⪕((≴∭⊉3432∛≴∭⊉22630)∇⊂⋱(≴∭⊉10440≥⨤⩑≴∭⊉4450))⫗⊷⫓(≴∭⊉14452⫰⋱≴∭⊉13066⫥∨⫟≴∭⊉21614⇤≴∭⊉3400)=≴∭⊉3260","reverse_text":"≴∭⊉3260=((≴∭⊉24202⨐⩸⫘≴∭⊉15204⊉≛↸(⊈≴∭⊉5113))⩘)⪕((≴∭⊉3432∛≴∭⊉22630)∇⊂⋱(≴∭⊉10440≥⨤⩑≴∭⊉4450))⫗⊷⫓(≴∭⊉14452⫰⋱≴∭⊉13066⫥∨⫟≴∭⊉21614⇤≴∭⊉3400)","cot":[{"info":"≴∭⊉24202⨐⩸⫘≴∭⊉15204=NaN","layer":3},{"info":"⊈≴∭⊉5113=≴∭⊉-5452","layer":3},{"info":"NaN⊉≛↸≴∭⊉-5452=NaN","layer":2},{"info":"NaN⩘=≴∭⊉124","layer":1},{"info":"≴∭⊉3432∛≴∭⊉22630=≴∭⊉-1645","layer":3},{"info":"≴∭⊉10440≥⨤⩑≴∭⊉4450=≴∭⊉3412","layer":3},{"info":"≴∭⊉-1645∇⊂⋱≴∭⊉3412=≴∭⊉-10124","layer":2},{"info":"≴∭⊉14452⫰⋱≴∭⊉13066=≴∭⊉-14404","layer":3},{"info":"≴∭⊉21614⇤≴∭⊉3400=≴∭⊉-155000","layer":3},{"info":"≴∭⊉-14404⫥∨⫟≴∭⊉-155000=NaN","layer":2},{"info":"≴∭⊉-10124⫗⊷⫓NaN=≴∭⊉-251","layer":1},{"info":"≴∭⊉124⪕≴∭⊉-251=≴∭⊉3260","layer":0}]}
+{"id":972,"expression_no_base_symbol":"(-(∥⊫$1689$)∘($3035$↬⩅∪))⪣⫩","expression":"(-(∥⊫≴∭⊉4632)∘(≴∭⊉11564↬⩅∪))⪣⫩","highest_n_order":1,"priority_hierarchical_complexity":5,"normalized_expansion_degree":20,"operation_count":5,"complexity_ratio":4.0,"tree":{"type":"unary","operator":"⪣⫩","unary_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"∘","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1689,"base":7}},"right_expr":{"type":"unary","operator":"↬⩅∪","unary_expr":{"type":"numeric_atoms","value":3035,"base":7}}}}},"used_operators":["iuk5sVOGFA","t8gj7n24qd","Z5m6OM72h2","P8v4zCKN1o","VJ330n2nnx"],"dependent_operators":["W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI","eH2TOUuTDT","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","23Mk6UjR3U","u6S6b8DprG"],"result":"≴∭⊉24642","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1689","layer":4},{"info":"compute unary expreesion, input=1689, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2557","layer":3},{"info":"number node, value=3035","layer":4},{"info":"compute unary expreesion, input=3035, op_id = VJ330n2nnx, unary_op_definition = 'a↬⩅∪ = { (a≦≮≮) , if (↽≂a)!=185 or a>=376 or a<=585 ; (a⋷a) , else }', output=-9105","layer":3},{"info":"compute binary expreesion, left_input=2557, right_input=-9105, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=-2177","layer":2},{"info":"compute unary expreesion, input=-2177, op_id = t8gj7n24qd, unary_op_definition = 'None', output=2177","layer":1},{"info":"compute unary expreesion, input=2177, op_id = iuk5sVOGFA, unary_op_definition = 'a⪣⫩ = { ((a⋥≓≎a)⋷(a+a)) , if a>=275 ; ((a∲⫓a)≧⫂∧(⪲⇎693)) , else }', output=6498","layer":0}],"base":7,"result_base":7,"text":"(-(∥⊫≴∭⊉4632)∘(≴∭⊉11564↬⩅∪))⪣⫩=≴∭⊉24642","reverse_text":"≴∭⊉24642=(-(∥⊫≴∭⊉4632)∘(≴∭⊉11564↬⩅∪))⪣⫩","cot":[{"info":"∥⊫≴∭⊉4632=≴∭⊉10312","layer":3},{"info":"≴∭⊉11564↬⩅∪=≴∭⊉-35355","layer":3},{"info":"≴∭⊉10312∘≴∭⊉-35355=≴∭⊉-6230","layer":2},{"info":"-≴∭⊉-6230=≴∭⊉6230","layer":1},{"info":"≴∭⊉6230⪣⫩=≴∭⊉24642","layer":0}]}
+{"id":973,"expression_no_base_symbol":"(((-$4764$)≬⋮($3054$⋐⇩⊬))⫥∨⫟$4648$⫗⊷⫓$2310$⇴∐(⇵⪽$2788$))⋝⋈⪟(($2836$⫸⇳$3612$)⪥($1091$⊨$1803$)⫚↹⊑($2122$⨐⩸⫘$1746$)⩣⫁∢($5136$∌↝$1652$))","expression":"(((-≴∭⊉16614)≬⋮(≴∭⊉11622⋐⇩⊬))⫥∨⫟≴∭⊉16360⫗⊷⫓≴∭⊉6510⇴∐(⇵⪽≴∭⊉11062))⋝⋈⪟((≴∭⊉11161⫸⇳≴∭⊉13350)⪥(≴∭⊉3116⊨≴∭⊉5154)⫚↹⊑(≴∭⊉6121⨐⩸⫘≴∭⊉5043)⩣⫁∢(≴∭⊉20655��↝≴∭⊉4550))","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":1794471,"operation_count":15,"complexity_ratio":119631.4,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":4764,"base":7}},"right_expr":{"type":"unary","operator":"⋐⇩⊬","unary_expr":{"type":"numeric_atoms","value":3054,"base":7}}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":4648,"base":7},"right_expr":{"type":"numeric_atoms","value":2310,"base":7}},"right_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"numeric_atoms","value":2788,"base":7}}}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":2836,"base":7},"right_expr":{"type":"numeric_atoms","value":3612,"base":7}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":1091,"base":7},"right_expr":{"type":"numeric_atoms","value":1803,"base":7}}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2122,"base":7},"right_expr":{"type":"numeric_atoms","value":1746,"base":7}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":5136,"base":7},"right_expr":{"type":"numeric_atoms","value":1652,"base":7}}}}},"used_operators":["2DDjHMKMc0","KYD54nUTWz","kbkesczE7y","t8gj7n24qd","JuuLT1NoCs","HnzytWxmAO","zashukvMKz","ZGCBLdVRRX","dfKe02y8D2","QbnwKVWMIQ","gx7XJ7hdpj","vg4gO5BX6G","JDUIKTTSIa","fu6greOZ01","9Isq31Ruls"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","mp7IySMOzn","JclMnS0uGI","ddLRYrp01A","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","U7g4x0WXJJ","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","3ViojmjbAp","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4764","layer":4},{"info":"compute unary expreesion, input=4764, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-4764","layer":3},{"info":"number node, value=3054","layer":4},{"info":"compute unary expreesion, input=3054, op_id = JuuLT1NoCs, unary_op_definition = 'a⋐⇩⊬ = { (a⨔⇊a) , if (a∊∟⩊189)<=582 ; (a⇷a) , else }', output=3054","layer":3},{"info":"compute binary expreesion, left_input=-4764, right_input=3054, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":2},{"info":"number node, value=4648","layer":4},{"info":"number node, value=2310","layer":4},{"info":"compute binary expreesion, left_input=4648, right_input=2310, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"number node, value=2788","layer":4},{"info":"compute unary expreesion, input=2788, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=nan, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=-116","layer":2},{"info":"compute binary expreesion, left_input=868, right_input=-116, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=2836","layer":4},{"info":"number node, value=3612","layer":4},{"info":"compute binary expreesion, left_input=2836, right_input=3612, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":3},{"info":"number node, value=1091","layer":4},{"info":"number node, value=1803","layer":4},{"info":"compute binary expreesion, left_input=1091, right_input=1803, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=5395","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=5395, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=4652","layer":2},{"info":"number node, value=2122","layer":4},{"info":"number node, value=1746","layer":4},{"info":"compute binary expreesion, left_input=2122, right_input=1746, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=5136","layer":4},{"info":"number node, value=1652","layer":4},{"info":"compute binary expreesion, left_input=5136, right_input=1652, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=4652, right_input=nan, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-447, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(((-≴∭⊉16614)≬⋮(≴∭⊉11622⋐⇩⊬))⫥∨⫟≴∭⊉16360⫗⊷⫓≴∭⊉6510⇴∐(⇵⪽≴∭⊉11062))⋝⋈⪟((≴∭⊉11161⫸⇳≴∭⊉13350)⪥(≴∭⊉3116⊨≴∭⊉5154)⫚↹⊑(≴∭⊉6121⨐⩸⫘≴∭⊉5043)⩣⫁∢(≴∭⊉20655∌↝≴∭⊉4550))=NaN","reverse_text":"NaN=(((-≴∭⊉16614)≬⋮(≴∭⊉11622⋐⇩⊬))⫥∨⫟≴∭⊉16360⫗⊷⫓≴∭⊉6510⇴∐(⇵⪽≴∭⊉11062))⋝⋈⪟((≴∭⊉11161⫸⇳≴∭⊉13350)⪥(≴∭⊉3116⊨≴∭⊉5154)⫚↹⊑(≴∭⊉6121⨐⩸⫘≴∭⊉5043)⩣⫁∢(≴∭⊉20655∌↝≴∭⊉4550))","cot":[{"info":"-≴∭⊉16614=≴∭⊉-16614","layer":3},{"info":"≴∭⊉11622⋐⇩⊬=≴∭⊉11622","layer":3},{"info":"≴∭⊉-16614≬⋮≴∭⊉11622=≴∭⊉2350","layer":2},{"info":"≴∭⊉16360⫗⊷⫓≴∭⊉6510=≴∭⊉-251","layer":3},{"info":"⇵⪽≴∭⊉11062=NaN","layer":3},{"info":"≴∭⊉-251⇴∐NaN=≴∭⊉-224","layer":2},{"info":"≴∭⊉2350⫥∨⫟≴∭⊉-224=NaN","layer":1},{"info":"≴∭⊉11161⫸⇳≴∭⊉13350=≴∭⊉0","layer":3},{"info":"≴∭⊉3116⊨≴∭⊉5154=≴∭⊉21505","layer":3},{"info":"≴∭⊉0⪥≴∭⊉21505=≴∭⊉16364","layer":2},{"info":"≴∭⊉6121⨐⩸⫘≴∭⊉5043=NaN","layer":3},{"info":"≴∭⊉20655∌↝≴∭⊉4550=≴∭⊉0","layer":3},{"info":"NaN⩣⫁∢≴∭⊉0=NaN","layer":2},{"info":"≴∭⊉16364⫚↹⊑NaN=≴∭⊉-1206","layer":1},{"info":"NaN⋝⋈⪟≴∭⊉-1206=NaN","layer":0}]}
+{"id":974,"expression_no_base_symbol":"((⫡⇟⇯(⩎⋉$4473$))⪔⊥($1265$⊘)∥⊢⊲($1331$⫔⩽⩺$1201$))↑","expression":"((⫡⇟⇯(⩎⋉≴∭⊉16020))⪔⊥(≴∭⊉3455⊘)∥⊢⊲(≴∭⊉3611⫔⩽⩺≴∭⊉3334))↑","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":166,"operation_count":7,"complexity_ratio":23.714285714285715,"tree":{"type":"unary","operator":"↑","unary_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"numeric_atoms","value":4473,"base":7}}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":1265,"base":7}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":1331,"base":7},"right_expr":{"type":"numeric_atoms","value":1201,"base":7}}}}},"used_operators":["BThhyOhh10","HJ9erzHUuu","qWUSsah53b","FlXk3pOYe8","v1UQAVDJRr","gu96TGCTMs","i9eR4S00cU"],"dependent_operators":["i8ToyICDmI","3EYGwJThht","xNBdhnnwKq","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","DZ8iAZOCBD","P8v4zCKN1o","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","EBcxylXtPf","rGHVDoGpnC","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","Tw270M8GLb","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4473","layer":4},{"info":"compute unary expreesion, input=4473, op_id = FlXk3pOYe8, unary_op_definition = '⩎⋉a = { (((a/a)∲⫓(≛a))∴((a⩨a)⨳⩥⨓(⊄⩳↩a))) , if (a⩇∃⫛268)<=24 or a==244 or (↩⪖a)>=4 ; (((a⨔⇊a)∠↢(↸⊣a))≚⊃≕((≦∁a)⨐461)) , else }', output=1650","layer":3},{"info":"compute unary expreesion, input=1650, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=4168","layer":2},{"info":"number node, value=1265","layer":4},{"info":"compute unary expreesion, input=1265, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":3},{"info":"number node, value=1331","layer":4},{"info":"number node, value=1201","layer":4},{"info":"compute binary expreesion, left_input=1331, right_input=1201, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=4168, right_input=nan, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = BThhyOhh10, unary_op_definition = 'a↑ = { ((a∲⫓a)⇄(262⊭∹↮)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((⫡⇟⇯(⩎⋉≴∭⊉16020))⪔⊥(≴∭⊉3455⊘)∥⊢⊲(≴∭⊉3611⫔⩽⩺≴∭⊉3334))↑=NaN","reverse_text":"NaN=((⫡⇟⇯(⩎⋉≴∭⊉16020))⪔⊥(≴∭⊉3455⊘)∥⊢⊲(≴∭⊉3611⫔⩽⩺≴∭⊉3334))↑","cot":[{"info":"⩎⋉≴∭⊉16020=≴∭⊉4545","layer":3},{"info":"⫡⇟⇯≴∭⊉4545=≴∭⊉15103","layer":2},{"info":"≴∭⊉3455⊘=≴∭⊉0","layer":3},{"info":"≴∭⊉3611⫔⩽⩺≴∭⊉3334=NaN","layer":3},{"info":"≴∭⊉0∥⊢⊲NaN=NaN","layer":2},{"info":"≴∭⊉15103⪔⊥NaN=NaN","layer":1},{"info":"NaN↑=NaN","layer":0}]}
+{"id":975,"expression_no_base_symbol":"(↨($1371$⫞⩸⩒$4477$⋻⩜⩜($2444$↛⩡⫤)))⇂≾⫗((⪲⇎$1451$⩼⇪↪$1047$)⫘(($1291$⇼⇔∾$1350$)+⪬∐$1723$⫯⪬∳$3596$))","expression":"(↨(≴∭⊉3666⫞⩸⩒≴∭⊉16024⋻⩜⩜(≴∭⊉10061↛⩡⫤)))⇂≾⫗((⪲⇎≴∭⊉4142⩼⇪↪≴∭⊉3024)⫘((≴∭⊉3523⇼⇔∾≴∭⊉3636)+⪬∐≴∭⊉5011⫯⪬∳≴∭⊉13325))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5130238,"operation_count":11,"complexity_ratio":466385.2727272727,"tree":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":1371,"base":7},"right_expr":{"type":"numeric_atoms","value":4477,"base":7}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":2444,"base":7}}}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":1451,"base":7},"right_expr":{"type":"numeric_atoms","value":1047,"base":7}}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1291,"base":7},"right_expr":{"type":"numeric_atoms","value":1350,"base":7}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":1723,"base":7},"right_expr":{"type":"numeric_atoms","value":3596,"base":7}}}}},"used_operators":["aBQ6xLxuTc","jiX4gk2v2Q","oDCm7WA9JY","XGcMNugi78","FU0Cs4j7VP","48vC8HMD2b","XPYlsWDdGa","ocnLzx9CaJ","2GS7woTJqF","tifHPKVTfV","d7ASUq0ydm"],"dependent_operators":["g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","rGHVDoGpnC","oZj3VtZNQx","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","g55IO6H4Gj","D4vGDi5EA2","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1371","layer":4},{"info":"number node, value=4477","layer":4},{"info":"compute binary expreesion, left_input=1371, right_input=4477, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=4477","layer":3},{"info":"number node, value=2444","layer":4},{"info":"compute unary expreesion, input=2444, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-365133","layer":3},{"info":"compute binary expreesion, left_input=4477, right_input=-365133, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=8954","layer":2},{"info":"compute unary expreesion, input=8954, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":1},{"info":"number node, value=1451","layer":4},{"info":"number node, value=1047","layer":4},{"info":"compute binary expreesion, left_input=1451, right_input=1047, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-5210","layer":3},{"info":"compute unary expreesion, input=-5210, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-10420","layer":2},{"info":"number node, value=1291","layer":4},{"info":"number node, value=1350","layer":4},{"info":"compute binary expreesion, left_input=1291, right_input=1350, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=59","layer":3},{"info":"number node, value=1723","layer":4},{"info":"number node, value=3596","layer":4},{"info":"compute binary expreesion, left_input=1723, right_input=3596, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=5052","layer":3},{"info":"compute binary expreesion, left_input=59, right_input=5052, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-177","layer":2},{"info":"compute binary expreesion, left_input=-10420, right_input=-177, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=45941939","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=45941939, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(↨(≴∭⊉3666⫞⩸⩒≴∭⊉16024⋻⩜⩜(≴∭⊉10061↛⩡⫤)))⇂≾⫗((⪲⇎≴∭⊉4142⩼⇪↪≴∭⊉3024)⫘((≴∭⊉3523⇼⇔∾≴∭⊉3636)+⪬∐≴∭⊉5011⫯⪬∳≴∭⊉13325))=NaN","reverse_text":"NaN=(↨(≴∭⊉3666⫞⩸⩒≴∭⊉16024⋻⩜⩜(≴∭⊉10061↛⩡⫤)))⇂≾⫗((⪲⇎≴∭⊉4142⩼⇪↪≴∭⊉3024)⫘((≴∭⊉3523⇼⇔∾≴∭⊉3636)+⪬∐≴∭⊉5011⫯⪬∳≴∭⊉13325))","cot":[{"info":"≴∭⊉3666⫞⩸⩒≴∭⊉16024=≴∭⊉16024","layer":3},{"info":"≴∭⊉10061↛⩡⫤=≴∭⊉-3050346","layer":3},{"info":"≴∭⊉16024⋻⩜⩜≴∭⊉-3050346=≴∭⊉35051","layer":2},{"info":"↨≴∭⊉35051=NaN","layer":1},{"info":"≴∭⊉4142⩼⇪↪≴∭⊉3024=≴∭⊉-21122","layer":3},{"info":"⪲⇎≴∭⊉-21122=≴∭⊉-42244","layer":2},{"info":"≴∭⊉3523⇼⇔∾≴∭⊉3636=≴∭⊉113","layer":3},{"info":"≴∭⊉5011⫯⪬∳≴∭⊉13325=≴∭⊉20505","layer":3},{"info":"≴∭⊉113+⪬∐≴∭⊉20505=≴∭⊉-342","layer":2},{"info":"≴∭⊉-42244⫘≴∭⊉-342=≴∭⊉1065333341","layer":1},{"info":"NaN⇂≾⫗≴∭⊉1065333341=NaN","layer":0}]}
+{"id":976,"expression_no_base_symbol":"(⨮↦↱($1512$⩇∃⫛$1516$))⨜⨶($1628$⋅⇍$1527$)⫗⊷⫓($1564$∇⊂⋱$1144$)≝⊿($1188$≝⊿$4240$≨($3406$⨓$4522$)≧⫂∧(∐⩳⋚(↴⪽⋼$1143$)))","expression":"(⨮↦↱(≴∭⊉4260⩇∃⫛≴∭⊉4264))⨜⨶(≴∭⊉4514⋅⇍≴∭⊉4311)⫗⊷⫓(≴∭⊉4363∇⊂⋱≴∭⊉3223)≝⊿(≴∭⊉3315≝⊿≴∭⊉15235≨(≴∭⊉12634⨓≴∭⊉16120)≧⫂∧(∐⩳⋚(↴⪽⋼≴∭⊉3222)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2072856,"operation_count":13,"complexity_ratio":159450.46153846153,"tree":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":1512,"base":7},"right_expr":{"type":"numeric_atoms","value":1516,"base":7}}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":1628,"base":7},"right_expr":{"type":"numeric_atoms","value":1527,"base":7}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":1564,"base":7},"right_expr":{"type":"numeric_atoms","value":1144,"base":7}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":1188,"base":7},"right_expr":{"type":"numeric_atoms","value":4240,"base":7}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3406,"base":7},"right_expr":{"type":"numeric_atoms","value":4522,"base":7}}},"right_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"numeric_atoms","value":1143,"base":7}}}}},"used_operators":["OKKcZfAt5B","HiPekx5b7W","sYcpBQ0cFf","1aApVXNlOP","zashukvMKz","AdZkA7nFnk","nhYeJWJD5X","Ph9nP6C5qx","0KMCeP1Jsh","3ViojmjbAp","SL6IHkK8vl","5TUYCnJO6w"],"dependent_operators":["12rbrZMWeM","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","rysDP5nf3Z","t8gj7n24qd","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt"],"result":"≴∭⊉106311453","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1512","layer":4},{"info":"number node, value=1516","layer":4},{"info":"compute binary expreesion, left_input=1512, right_input=1516, op_id = 1aApVXNlOP binary_op_definition= 'a⩇∃⫛b = { (((b⊉≛↸a)⩤)⨰((362⩷∴b)⋥≓≎(↽≂a))) , if (a⊦⊿)>7 and b<=506 and (-a)==737 ; (((b⩤)⪒(b≧⫂∧a))⋝⋈⪟((a⨵⪆a)-(≉a))) , else }', output=477","layer":3},{"info":"compute unary expreesion, input=477, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-683208","layer":2},{"info":"number node, value=1628","layer":4},{"info":"number node, value=1527","layer":4},{"info":"compute binary expreesion, left_input=1628, right_input=1527, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"number node, value=1564","layer":4},{"info":"number node, value=1144","layer":4},{"info":"compute binary expreesion, left_input=1564, right_input=1144, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=2582","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=2582, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":2},{"info":"compute binary expreesion, left_input=-683208, right_input=-134, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-6832101","layer":1},{"info":"number node, value=1188","layer":4},{"info":"number node, value=4240","layer":4},{"info":"compute binary expreesion, left_input=1188, right_input=4240, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-10201","layer":3},{"info":"number node, value=3406","layer":4},{"info":"number node, value=4522","layer":4},{"info":"compute binary expreesion, left_input=3406, right_input=4522, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4525","layer":3},{"info":"compute binary expreesion, left_input=-10201, right_input=-4525, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=21058","layer":2},{"info":"number node, value=1143","layer":4},{"info":"compute unary expreesion, input=1143, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=1143","layer":3},{"info":"compute unary expreesion, input=1143, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=154210","layer":2},{"info":"compute binary expreesion, left_input=21058, right_input=154210, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=153737","layer":1},{"info":"compute binary expreesion, left_input=-6832101, right_input=153737, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=6524094","layer":0}],"base":7,"result_base":7,"text":"(⨮↦↱(≴∭⊉4260⩇∃⫛≴∭⊉4264))⨜⨶(≴∭⊉4514⋅⇍≴∭⊉4311)⫗⊷⫓(≴∭⊉4363∇⊂⋱≴∭⊉3223)≝⊿(≴∭⊉3315≝⊿≴∭⊉15235≨(≴∭⊉12634⨓≴∭⊉16120)≧⫂∧(∐⩳⋚(↴⪽⋼≴∭⊉3222)))=≴∭⊉106311453","reverse_text":"≴∭⊉106311453=(⨮↦↱(≴∭⊉4260⩇∃⫛≴∭⊉4264))⨜⨶(≴∭⊉4514⋅⇍≴∭⊉4311)⫗⊷⫓(≴∭⊉4363∇⊂⋱≴∭⊉3223)≝⊿(≴∭⊉3315≝⊿≴∭⊉15235≨(≴∭⊉12634⨓≴∭⊉16120)≧⫂∧(∐⩳⋚(↴⪽⋼≴∭⊉3222)))","cot":[{"info":"≴∭⊉4260⩇∃⫛≴∭⊉4264=≴∭⊉1251","layer":3},{"info":"⨮↦↱≴∭⊉1251=≴∭⊉-5543601","layer":2},{"info":"≴∭⊉4514⋅⇍≴∭⊉4311=≴∭⊉-31","layer":3},{"info":"≴∭⊉4363∇⊂⋱≴∭⊉3223=≴∭⊉10346","layer":3},{"info":"≴∭⊉-31⫗⊷⫓≴∭⊉10346=≴∭⊉-251","layer":2},{"info":"≴∭⊉-5543601⨜⨶≴∭⊉-251=≴∭⊉-112033443","layer":1},{"info":"≴∭⊉3315≝⊿≴∭⊉15235=≴∭⊉-41512","layer":3},{"info":"≴∭⊉12634⨓≴∭⊉16120=≴∭⊉-16123","layer":3},{"info":"≴∭⊉-41512≨≴∭⊉-16123=≴∭⊉115252","layer":2},{"info":"↴⪽⋼≴∭⊉3222=≴∭⊉3222","layer":3},{"info":"∐⩳⋚≴∭⊉3222=≴∭⊉1211410","layer":2},{"info":"≴∭⊉115252≧⫂∧≴∭⊉1211410=≴∭⊉1210133","layer":1},{"info":"≴∭⊉-112033443≝⊿≴∭⊉1210133=≴∭⊉106311453","layer":0}]}
+{"id":977,"expression_no_base_symbol":"(($2533$≬⇓$1684$)⨜⨶(≋$3119$))≎⪠(($1603$⇣⩺⋵$4546$)≃⋄)⊝⪿⪼((≯$4013$)∺≝⩲($3509$⨫⇇↔$2400$)≓∲(⨈⪑($1570$≚⋢)))","expression":"((≴∭⊉10246≬⇓≴∭⊉4624)⨜⨶(≋≴∭⊉12044))≎⪠((≴∭⊉4450⇣⩺⋵≴∭⊉16153)≃⋄)⊝⪿⪼((≯≴∭⊉14462)∺≝⩲(≴∭⊉13142⨫⇇↔≴∭⊉6666)≓∲(⨈⪑(≴∭⊉4402≚⋢)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":19467,"operation_count":13,"complexity_ratio":1497.4615384615386,"tree":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":2533,"base":7},"right_expr":{"type":"numeric_atoms","value":1684,"base":7}},"right_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"numeric_atoms","value":3119,"base":7}}},"right_expr":{"type":"unary","operator":"≃⋄","unary_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":1603,"base":7},"right_expr":{"type":"numeric_atoms","value":4546,"base":7}}}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"numeric_atoms","value":4013,"base":7}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":3509,"base":7},"right_expr":{"type":"numeric_atoms","value":2400,"base":7}}},"right_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"unary","operator":"≚⋢","unary_expr":{"type":"numeric_atoms","value":1570,"base":7}}}}},"used_operators":["3Oe9XWJUTD","aNhz54LH3e","HiPekx5b7W","jWTQ2TZYIH","61wBmkZwlr","aN9a90urxU","F4yD0voBRQ","s1XTVnmDOJ","KPf6cnQVty","keWfFq85dY","LXhwmt4mBO","mp94q5OcYM","MahUMFw56D"],"dependent_operators":["NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","7j4O788W3g","uFcxV4UQCh","jLgFTUHLKL","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","g55IO6H4Gj","JLbD19bQDL","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","3ViojmjbAp"],"result":"≴∭⊉2130033","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2533","layer":4},{"info":"number node, value=1684","layer":4},{"info":"compute binary expreesion, left_input=2533, right_input=1684, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":3},{"info":"number node, value=3119","layer":4},{"info":"compute unary expreesion, input=3119, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=3119","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=3119, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-5982","layer":2},{"info":"number node, value=1603","layer":4},{"info":"number node, value=4546","layer":4},{"info":"compute binary expreesion, left_input=1603, right_input=4546, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-2618","layer":3},{"info":"compute unary expreesion, input=-2618, op_id = aN9a90urxU, unary_op_definition = 'a≃⋄ = { (↩(252⪛a)) }', output=12084","layer":2},{"info":"compute binary expreesion, left_input=-5982, right_input=12084, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":1},{"info":"number node, value=4013","layer":4},{"info":"compute unary expreesion, input=4013, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":3},{"info":"number node, value=3509","layer":4},{"info":"number node, value=2400","layer":4},{"info":"compute binary expreesion, left_input=3509, right_input=2400, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-527, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":2},{"info":"number node, value=1570","layer":4},{"info":"compute unary expreesion, input=1570, op_id = MahUMFw56D, unary_op_definition = 'a≚⋢ = { (a⨓86) }', output=-89","layer":3},{"info":"compute unary expreesion, input=-89, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=868, op_id = s1XTVnmDOJ binary_op_definition= 'a≓∲b = { (≦∁(a⨜⨶(a⨳⩥⨓a))) , if ((⋃b)>775 or (a⊢476)>56) ; (((a⨜⨶b)⇤(77/135))-a) , else }', output=2383","layer":1},{"info":"compute binary expreesion, left_input=19558, right_input=2383, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=259332","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉10246≬⇓≴∭⊉4624)⨜⨶(≋≴∭⊉12044))≎⪠((≴∭⊉4450⇣⩺⋵≴∭⊉16153)≃⋄)⊝⪿⪼((≯≴∭⊉14462)∺≝⩲(≴∭⊉13142⨫⇇↔≴∭⊉6666)≓∲(⨈⪑(≴∭⊉4402≚⋢)))=≴∭⊉2130033","reverse_text":"≴∭⊉2130033=((≴∭⊉10246≬⇓≴∭⊉4624)⨜⨶(≋≴∭⊉12044))≎⪠((≴∭⊉4450⇣⩺⋵≴∭⊉16153)≃⋄)⊝⪿⪼((≯≴∭⊉14462)∺≝⩲(≴∭⊉13142⨫⇇↔≴∭⊉6666)≓∲(⨈⪑(≴∭⊉4402≚⋢)))","cot":[{"info":"≴∭⊉10246≬⇓≴∭⊉4624=≴∭⊉-31","layer":3},{"info":"≋≴∭⊉12044=≴∭⊉12044","layer":3},{"info":"≴∭⊉-31⨜⨶≴∭⊉12044=≴∭⊉-23304","layer":2},{"info":"≴∭⊉4450⇣⩺⋵≴∭⊉16153=≴∭⊉-10430","layer":3},{"info":"≴∭⊉-10430≃⋄=≴∭⊉50142","layer":2},{"info":"≴∭⊉-23304≎⪠≴∭⊉50142=≴∭⊉111010","layer":1},{"info":"≯≴∭⊉14462=≴∭⊉0","layer":3},{"info":"≴∭⊉13142⨫⇇↔≴∭⊉6666=≴∭⊉-1352","layer":3},{"info":"≴∭⊉0∺≝⩲≴∭⊉-1352=≴∭⊉316","layer":2},{"info":"≴∭⊉4402≚⋢=≴∭⊉-155","layer":3},{"info":"⨈⪑≴∭⊉-155=≴∭⊉2350","layer":2},{"info":"≴∭⊉316≓∲≴∭⊉2350=≴∭⊉6643","layer":1},{"info":"≴∭⊉111010⊝⪿⪼≴∭⊉6643=≴∭⊉2130033","layer":0}]}
+{"id":978,"expression_no_base_symbol":"↓⇌(($2179$⨰$3221$⊭↱$1232$≀⩗∶$5998$)⫸⊐((≱⇩⩕$8576$)⩭))","expression":"↓⇌((≴∭⊉6232⨰≴∭⊉12251⊭↱≴∭⊉3410≀⩗∶≴∭⊉23326)⫸⊐((≱⇩⩕≴∭⊉34001)⩭))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":50611,"operation_count":7,"complexity_ratio":7230.142857142857,"tree":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2179,"base":7},"right_expr":{"type":"numeric_atoms","value":3221,"base":7}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":1232,"base":7},"right_expr":{"type":"numeric_atoms","value":5998,"base":7}}},"right_expr":{"type":"unary","operator":"⩭","unary_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"numeric_atoms","value":8576,"base":7}}}}},"used_operators":["PxpmPgHHJV","mqXw5SEYmG","COABgblf1C","eewbuw0ToL","8INZBEW696","yIPP7u6H5x","3DZMoQKiUl"],"dependent_operators":["23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","nOKPl9n5zu","SUmda5xLS4","9HNa5Wba9A","fu6greOZ01","3tVxb0NHM4","GjBEYRfMaF","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq"],"result":"≴∭⊉4612","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2179","layer":4},{"info":"number node, value=3221","layer":4},{"info":"compute binary expreesion, left_input=2179, right_input=3221, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1032","layer":3},{"info":"number node, value=1232","layer":4},{"info":"number node, value=5998","layer":4},{"info":"compute binary expreesion, left_input=1232, right_input=5998, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=-12","layer":3},{"info":"compute binary expreesion, left_input=-1032, right_input=-12, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=2045","layer":2},{"info":"number node, value=8576","layer":4},{"info":"compute unary expreesion, input=8576, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":3},{"info":"compute unary expreesion, input=113, op_id = yIPP7u6H5x, unary_op_definition = 'a⩭ = { (((a⨐⩸⫘a)⪎↠(696*a))⪔(224⪄(⋗⩴⪓a))) }', output=450","layer":2},{"info":"compute binary expreesion, left_input=2045, right_input=450, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=1675","layer":1},{"info":"compute unary expreesion, input=1675, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=1675","layer":0}],"base":7,"result_base":7,"text":"↓⇌((≴∭⊉6232⨰≴∭⊉12251⊭↱≴∭⊉3410≀⩗∶≴∭⊉23326)⫸⊐((≱⇩⩕≴∭⊉34001)⩭))=≴∭⊉4612","reverse_text":"≴∭⊉4612=↓⇌((≴∭⊉6232⨰≴∭⊉12251⊭↱≴∭⊉3410≀⩗∶≴∭⊉23326)⫸⊐((≱⇩⩕≴∭⊉34001)⩭))","cot":[{"info":"≴∭⊉6232⨰≴∭⊉12251=≴∭⊉-3003","layer":3},{"info":"≴∭⊉3410≀⩗∶≴∭⊉23326=≴∭⊉-15","layer":3},{"info":"≴∭⊉-3003⊭↱≴∭⊉-15=≴∭⊉5651","layer":2},{"info":"≱⇩⩕≴∭⊉34001=≴∭⊉221","layer":3},{"info":"≴∭⊉221⩭=≴∭⊉1212","layer":2},{"info":"≴∭⊉5651⫸⊐≴∭⊉1212=≴∭⊉4612","layer":1},{"info":"↓⇌≴∭⊉4612=≴∭⊉4612","layer":0}]}
+{"id":979,"expression_no_base_symbol":"($3193$⇂≾⫗$1065$⫲≸⪮(⊊≼∋$2097$))⩁⩘(⇤←$1782$⫁$6627$)⇷((∓$1950$⨫⇇↔$4672$)⇼⇔∾$2418$⪢$6565$⨚⇆($6286$⨒$3306$))","expression":"(≴∭⊉12211⇂≾⫗≴∭⊉3051⫲≸⪮(⊊≼∋≴∭⊉6054))⩁⩘(⇤←≴∭⊉5124⫁≴∭⊉25215)⇷((∓≴∭⊉5454⨫⇇↔≴∭⊉16423)⇼⇔∾≴∭⊉10023⪢≴∭⊉25066⨚⇆(≴∭⊉24220⨒≴∭⊉12432))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":54653,"operation_count":13,"complexity_ratio":4204.076923076923,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":3193,"base":7},"right_expr":{"type":"numeric_atoms","value":1065,"base":7}},"right_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"numeric_atoms","value":2097,"base":7}}},"right_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":1782,"base":7},"right_expr":{"type":"numeric_atoms","value":6627,"base":7}}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":1950,"base":7},"right_expr":{"type":"numeric_atoms","value":4672,"base":7}}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2418,"base":7},"right_expr":{"type":"numeric_atoms","value":6565,"base":7}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":6286,"base":7},"right_expr":{"type":"numeric_atoms","value":3306,"base":7}}}}},"used_operators":["mp7IySMOzn","gub5Cegaqo","P3lXMJvFrc","aBQ6xLxuTc","FWz7pXsQhA","jfAgQ2OQeM","0ajvFaJAv0","tifHPKVTfV","OwUj7dcsQK","LXhwmt4mBO","lwHaAYXP2r","dWAJyo7jo9","y75s1iXyHd"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","DpFCA1CohY","IWmyXbctLI","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","B5M0gjZbta","jCPkEVoL5K","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","cHh1gJQ2o6","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","k8jYdgA6NY","srAu1WTS94","oacrs7FA3X","7qqUquhhSb"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3193","layer":4},{"info":"number node, value=1065","layer":4},{"info":"compute binary expreesion, left_input=3193, right_input=1065, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"number node, value=2097","layer":4},{"info":"compute unary expreesion, input=2097, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=-676, right_input=-447, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=-676","layer":2},{"info":"number node, value=1782","layer":4},{"info":"number node, value=6627","layer":4},{"info":"compute binary expreesion, left_input=1782, right_input=6627, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=566","layer":2},{"info":"compute binary expreesion, left_input=-676, right_input=566, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=3212","layer":1},{"info":"number node, value=1950","layer":4},{"info":"number node, value=4672","layer":4},{"info":"compute binary expreesion, left_input=1950, right_input=4672, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"compute unary expreesion, input=-527, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=3033","layer":2},{"info":"number node, value=2418","layer":4},{"info":"number node, value=6565","layer":4},{"info":"compute binary expreesion, left_input=2418, right_input=6565, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=6286","layer":4},{"info":"number node, value=3306","layer":4},{"info":"compute binary expreesion, left_input=6286, right_input=3306, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-37344","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-37344, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=3033, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=3212, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉12211⇂≾⫗≴∭⊉3051⫲≸⪮(⊊≼∋≴∭⊉6054))⩁⩘(⇤←≴∭⊉5124⫁≴∭⊉25215)⇷((∓≴∭⊉5454⨫⇇↔≴∭⊉16423)⇼⇔∾≴∭⊉10023⪢≴∭⊉25066⨚⇆(≴∭⊉24220⨒≴∭⊉12432))=NaN","reverse_text":"NaN=(≴∭⊉12211⇂≾⫗≴∭⊉3051⫲≸⪮(⊊≼∋≴∭⊉6054))⩁⩘(⇤←≴∭⊉5124⫁≴∭⊉25215)⇷((∓≴∭⊉5454⨫⇇↔≴∭⊉16423)⇼⇔∾≴∭⊉10023⪢≴∭⊉25066⨚⇆(≴∭⊉24220⨒≴∭⊉12432))","cot":[{"info":"≴∭⊉12211⇂≾⫗≴∭⊉3051=≴∭⊉-1654","layer":3},{"info":"⊊≼∋≴∭⊉6054=≴∭⊉-1206","layer":3},{"info":"≴∭⊉-1654⫲≸⪮≴∭⊉-1206=≴∭⊉-1654","layer":2},{"info":"≴∭⊉5124⫁≴∭⊉25215=≴∭⊉316","layer":3},{"info":"⇤←≴∭⊉316=≴∭⊉1436","layer":2},{"info":"≴∭⊉-1654⩁⩘≴∭⊉1436=≴∭⊉12236","layer":1},{"info":"≴∭⊉5454⨫⇇↔≴∭⊉16423=≴∭⊉-1352","layer":3},{"info":"∓≴∭⊉-1352=≴∭⊉11562","layer":2},{"info":"≴∭⊉10023⪢≴∭⊉25066=NaN","layer":3},{"info":"≴∭⊉24220⨒≴∭⊉12432=≴∭⊉-213606","layer":3},{"info":"NaN⨚⇆≴∭⊉-213606=NaN","layer":2},{"info":"≴∭⊉11562⇼⇔∾NaN=NaN","layer":1},{"info":"≴∭⊉12236⇷NaN=NaN","layer":0}]}
+{"id":980,"expression_no_base_symbol":"(($6586$⊝⪿⪼$1393$/$3530$⨐$5502$)≚⋢)≬⇓(≅≯⇸(+⊝⨔$1276$)⫘($3589$⩌⋺$6641$))","expression":"((≴∭⊉25126⊝⪿⪼≴∭⊉4030/≴∭⊉13202⨐≴∭⊉22020)≚⋢)≬⇓(≅≯⇸(+⊝⨔≴∭⊉3502)⫘(≴∭⊉13315⩌⋺≴∭⊉25235))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2059,"operation_count":9,"complexity_ratio":228.77777777777777,"tree":{"type":"binary","operator":"≬⇓","left_expr":{"type":"unary","operator":"≚⋢","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":6586,"base":7},"right_expr":{"type":"numeric_atoms","value":1393,"base":7}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":3530,"base":7},"right_expr":{"type":"numeric_atoms","value":5502,"base":7}}}},"right_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1276,"base":7}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":3589,"base":7},"right_expr":{"type":"numeric_atoms","value":6641,"base":7}}}}},"used_operators":["jWTQ2TZYIH","MahUMFw56D","XhwjNDsVaA","3Oe9XWJUTD","Noe24qw2ks","apS25hmuAe","48vC8HMD2b","DhbWaqg5eL","g7Hmc5v1ko"],"dependent_operators":["AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","3ViojmjbAp","rysDP5nf3Z","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","EBcxylXtPf","QMFrweE19q","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6586","layer":4},{"info":"number node, value=1393","layer":4},{"info":"compute binary expreesion, left_input=6586, right_input=1393, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=92676","layer":3},{"info":"number node, value=3530","layer":4},{"info":"number node, value=5502","layer":4},{"info":"compute binary expreesion, left_input=3530, right_input=5502, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-7060","layer":3},{"info":"compute binary expreesion, left_input=92676, right_input=-7060, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-14","layer":2},{"info":"compute unary expreesion, input=-14, op_id = MahUMFw56D, unary_op_definition = 'a≚⋢ = { (a⨓86) }', output=-89","layer":1},{"info":"number node, value=1276","layer":4},{"info":"compute unary expreesion, input=1276, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":3},{"info":"number node, value=3589","layer":4},{"info":"number node, value=6641","layer":4},{"info":"compute binary expreesion, left_input=3589, right_input=6641, op_id = g7Hmc5v1ko binary_op_definition= 'a⩌⋺b = { ((⨞⊢(b⨵⪆b))∲⫓((a⪨≂b)⪨≂(b⩷∴919))) , if (b⫡⨏102)>364 and (-b)==524 ; (b⇼⇔∾((a+a)⩚⊴⇥(-a))) , else }', output=-10351","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=-10351, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=1794277","layer":2},{"info":"compute unary expreesion, input=1794277, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=7184785","layer":1},{"info":"compute binary expreesion, left_input=-89, right_input=7184785, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=0","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉25126⊝⪿⪼≴∭⊉4030/≴∭⊉13202⨐≴∭⊉22020)≚⋢)≬⇓(≅≯⇸(+⊝⨔≴∭⊉3502)⫘(≴∭⊉13315⩌⋺≴∭⊉25235))=≴∭⊉0","reverse_text":"≴∭⊉0=((≴∭⊉25126⊝⪿⪼≴∭⊉4030/≴∭⊉13202⨐≴∭⊉22020)≚⋢)≬⇓(≅≯⇸(+⊝⨔≴∭⊉3502)⫘(≴∭⊉13315⩌⋺≴∭⊉25235))","cot":[{"info":"≴∭⊉25126⊝⪿⪼≴∭⊉4030=≴∭⊉534123","layer":3},{"info":"≴∭⊉13202⨐≴∭⊉22020=≴∭⊉-26404","layer":3},{"info":"≴∭⊉534123/≴∭⊉-26404=≴∭⊉-20","layer":2},{"info":"≴∭⊉-20≚⋢=≴∭⊉-155","layer":1},{"info":"+⊝⨔≴∭⊉3502=≴∭⊉4303","layer":3},{"info":"≴∭⊉13315⩌⋺≴∭⊉25235=≴∭⊉-42115","layer":3},{"info":"≴∭⊉4303⫘≴∭⊉-42115=≴∭⊉21152062","layer":2},{"info":"≅≯⇸≴∭⊉21152062=≴∭⊉115032616","layer":1},{"info":"≴∭⊉-155≬⇓≴∭⊉115032616=≴∭⊉0","layer":0}]}
+{"id":981,"expression_no_base_symbol":"((⩦⩻⨪$2248$)↡⊰⫅$1389$∓⋝$1297$)⇍⊗(⫖→$1120$≳⇉$5091$)∷(($5637$/$2023$)∛≔)⨸((⇐$3417$)⪨⊡$1076$⊔$6172$)","expression":"((⩦⩻⨪≴∭⊉6361)↡⊰⫅≴∭⊉4023∓⋝≴∭⊉3532)⇍⊗(⫖→≴∭⊉3160≳⇉≴∭⊉20562)∷((≴∭⊉22302/≴∭⊉5620)∛≔)⨸((⇐≴∭⊉12651)⪨⊡≴∭⊉3065⊔≴∭⊉23665)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":390170285,"operation_count":13,"complexity_ratio":30013098.846153848,"tree":{"type":"binary","operator":"∷","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":2248,"base":7}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":1389,"base":7},"right_expr":{"type":"numeric_atoms","value":1297,"base":7}}},"right_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":1120,"base":7},"right_expr":{"type":"numeric_atoms","value":5091,"base":7}}}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"unary","operator":"∛≔","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":5637,"base":7},"right_expr":{"type":"numeric_atoms","value":2023,"base":7}}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"numeric_atoms","value":3417,"base":7}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":1076,"base":7},"right_expr":{"type":"numeric_atoms","value":6172,"base":7}}}}},"used_operators":["D3AQDKkPcf","5uvYHDjeKN","VCtxkLNOzz","2td37pGCOC","PoHhknlbAi","U4ylXWHChL","V0kx6qeWkN","KmoU8R5UQR","mGnSCrte3L","XhwjNDsVaA","kuIXHzHcAH","nmZMaaE0Q9","E4l6HwMY31"],"dependent_operators":["9FxExcQeMw","NTOWxs364D","7j4O788W3g","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","d7ASUq0ydm","OKKcZfAt5B","212REbPD9h","gx7XJ7hdpj","nEsXyWgiOK","oWn0xqSxBt","rysDP5nf3Z","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q"],"result":"≴∭⊉5122046","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=2248","layer":4},{"info":"compute unary expreesion, input=2248, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2248","layer":3},{"info":"number node, value=1389","layer":4},{"info":"number node, value=1297","layer":4},{"info":"compute binary expreesion, left_input=1389, right_input=1297, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"compute binary expreesion, left_input=2248, right_input=67, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=134","layer":2},{"info":"number node, value=1120","layer":4},{"info":"number node, value=5091","layer":4},{"info":"compute binary expreesion, left_input=1120, right_input=5091, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":2},{"info":"compute binary expreesion, left_input=134, right_input=177, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":1},{"info":"number node, value=5637","layer":4},{"info":"number node, value=2023","layer":4},{"info":"compute binary expreesion, left_input=5637, right_input=2023, op_id = XhwjNDsVaA binary_op_definition= 'None', output=2","layer":3},{"info":"compute unary expreesion, input=2, op_id = mGnSCrte3L, unary_op_definition = 'a∛≔ = { (((⊙↵-a)⋾⨃∁(a⨻⩈⩔a))≝⊿(a⫸⇳(a⫯⪬∳a))) }', output=-305287","layer":2},{"info":"number node, value=3417","layer":4},{"info":"compute unary expreesion, input=3417, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=7728","layer":3},{"info":"number node, value=1076","layer":4},{"info":"number node, value=6172","layer":4},{"info":"compute binary expreesion, left_input=1076, right_input=6172, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=30612","layer":3},{"info":"compute binary expreesion, left_input=7728, right_input=30612, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-305287, right_input=0, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=610574","layer":1},{"info":"compute binary expreesion, left_input=-244, right_input=610574, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=610574","layer":0}],"base":7,"result_base":7,"text":"((⩦⩻⨪≴∭⊉6361)↡⊰⫅≴∭⊉4023∓⋝≴∭⊉3532)⇍⊗(⫖→≴∭⊉3160≳⇉≴∭⊉20562)∷((≴∭⊉22302/≴∭⊉5620)∛≔)⨸((⇐≴∭⊉12651)⪨⊡≴∭⊉3065⊔≴∭⊉23665)=≴∭⊉5122046","reverse_text":"≴∭⊉5122046=((⩦⩻⨪≴∭⊉6361)↡⊰⫅≴∭⊉4023∓⋝≴∭⊉3532)⇍⊗(⫖→≴∭⊉3160≳⇉≴∭⊉20562)∷((≴∭⊉22302/≴∭⊉5620)∛≔)⨸((⇐≴∭⊉12651)⪨⊡≴∭⊉3065⊔≴∭⊉23665)","cot":[{"info":"⩦⩻⨪≴∭⊉6361=≴∭⊉6361","layer":3},{"info":"≴∭⊉4023∓⋝≴∭⊉3532=≴∭⊉124","layer":3},{"info":"≴∭⊉6361↡⊰⫅≴∭⊉124=≴∭⊉251","layer":2},{"info":"≴∭⊉3160≳⇉≴∭⊉20562=NaN","layer":3},{"info":"⫖→NaN=≴∭⊉342","layer":2},{"info":"≴∭⊉251⇍⊗≴∭⊉342=≴∭⊉-466","layer":1},{"info":"≴∭⊉22302/≴∭⊉5620=≴∭⊉2","layer":3},{"info":"≴∭⊉2∛≔=≴∭⊉-2411023","layer":2},{"info":"⇐≴∭⊉12651=≴∭⊉31350","layer":3},{"info":"≴∭⊉3065⊔≴∭⊉23665=≴∭⊉155151","layer":3},{"info":"≴∭⊉31350⪨⊡≴∭⊉155151=≴∭⊉0","layer":2},{"info":"≴∭⊉-2411023⨸≴∭⊉0=≴∭⊉5122046","layer":1},{"info":"≴∭⊉-466∷≴∭⊉5122046=≴∭⊉5122046","layer":0}]}
+{"id":982,"expression_no_base_symbol":"⋼∭⪍(∂⩏⊆(⫖→$1612$)↓($2121$⇼⇔∾$2472$))","expression":"⋼∭⪍(∂⩏⊆(⫖→≴∭⊉4462)↓(≴∭⊉6120⇼⇔∾≴∭⊉10131))","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":7047,"operation_count":5,"complexity_ratio":1409.4,"tree":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"binary","operator":"↓","left_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"numeric_atoms","value":1612,"base":7}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2121,"base":7},"right_expr":{"type":"numeric_atoms","value":2472,"base":7}}}}},"used_operators":["DbCuESL50I","8WDwsbhb0R","Af076pWI7l","U4ylXWHChL","tifHPKVTfV"],"dependent_operators":["e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","14qkJME0vr","eLAdDNolq6","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","rysDP5nf3Z","t8gj7n24qd"],"result":"≴∭⊉-224220","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1612","layer":4},{"info":"compute unary expreesion, input=1612, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":3},{"info":"number node, value=2121","layer":4},{"info":"number node, value=2472","layer":4},{"info":"compute binary expreesion, left_input=2121, right_input=2472, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=351","layer":3},{"info":"compute binary expreesion, left_input=177, right_input=351, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=2196","layer":2},{"info":"compute unary expreesion, input=2196, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-6667","layer":1},{"info":"compute unary expreesion, input=-6667, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-39900","layer":0}],"base":7,"result_base":7,"text":"⋼∭⪍(∂⩏⊆(⫖→≴∭⊉4462)↓(≴∭⊉6120⇼⇔∾≴∭⊉10131))=≴∭⊉-224220","reverse_text":"≴∭⊉-224220=⋼∭⪍(∂⩏⊆(⫖→≴∭⊉4462)↓(≴∭⊉6120⇼⇔∾≴∭⊉10131))","cot":[{"info":"⫖→≴∭⊉4462=≴∭⊉342","layer":3},{"info":"≴∭⊉6120⇼⇔∾≴∭⊉10131=≴∭⊉1011","layer":3},{"info":"≴∭⊉342↓≴∭⊉1011=≴∭⊉6255","layer":2},{"info":"∂⩏⊆≴∭⊉6255=≴∭⊉-25303","layer":1},{"info":"⋼∭⪍≴∭⊉-25303=≴∭⊉-224220","layer":0}]}
+{"id":983,"expression_no_base_symbol":"($3785$∁)↼⊘⨖($4695$⋳⪒$3209$)⩵∡($4470$⫔⩽⩺$4146$⊉≛↸(⩷$2782$))⫃⨇($4716$⫗⊷⫓$2902$⨳⩥⨓($2700$⫃⨇$1756$))∝($7735$⫁⪎$6608$↡⊰⫅(⇵⪽$4300$))","expression":"(≴∭⊉14015∁)↼⊘⨖(≴∭⊉16455⋳⪒≴∭⊉12233)⩵∡(≴∭⊉16014⫔⩽⩺≴∭⊉15042⊉≛↸(⩷≴∭⊉11053))⫃⨇(≴∭⊉16515⫗⊷⫓≴∭⊉11314⨳⩥⨓(≴∭⊉10605⫃⨇≴∭⊉5056))∝(≴∭⊉31360⫁⪎≴∭⊉25160↡⊰⫅(⇵⪽≴∭⊉15352))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2254298,"operation_count":15,"complexity_ratio":150286.53333333333,"tree":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"unary","operator":"∁","unary_expr":{"type":"numeric_atoms","value":3785,"base":7}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":4695,"base":7},"right_expr":{"type":"numeric_atoms","value":3209,"base":7}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":4470,"base":7},"right_expr":{"type":"numeric_atoms","value":4146,"base":7}},"right_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"numeric_atoms","value":2782,"base":7}}}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":4716,"base":7},"right_expr":{"type":"numeric_atoms","value":2902,"base":7}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":2700,"base":7},"right_expr":{"type":"numeric_atoms","value":1756,"base":7}}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":7735,"base":7},"right_expr":{"type":"numeric_atoms","value":6608,"base":7}},"right_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"numeric_atoms","value":4300,"base":7}}}}},"used_operators":["09Ly4LVMIf","Y7wcNGrDQJ","bPywburJMS","jdwGQqwJi5","12rbrZMWeM","DZ8iAZOCBD","i9eR4S00cU","1h0rLqGiFr","cTDWOvIxvz","nCS4ZIUYfx","zashukvMKz","VCtxkLNOzz","xRrnTEsQ6j","ZGCBLdVRRX"],"dependent_operators":["9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","NTOWxs364D","glklzrTFfD","tifHPKVTfV","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","2DDjHMKMc0","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Tw270M8GLb","fu6greOZ01","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","7j4O788W3g","W4YGzv6Whe","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","U7g4x0WXJJ"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3785","layer":4},{"info":"compute unary expreesion, input=3785, op_id = jdwGQqwJi5, unary_op_definition = 'a∁ = { (a⋝⋈⪟a) }', output=3785","layer":3},{"info":"number node, value=4695","layer":4},{"info":"number node, value=3209","layer":4},{"info":"compute binary expreesion, left_input=4695, right_input=3209, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=5894","layer":3},{"info":"compute binary expreesion, left_input=3785, right_input=5894, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=11566","layer":2},{"info":"number node, value=4470","layer":4},{"info":"number node, value=4146","layer":4},{"info":"compute binary expreesion, left_input=4470, right_input=4146, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"number node, value=2782","layer":4},{"info":"compute unary expreesion, input=2782, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-33463","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-33463, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=11566, right_input=nan, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=nan","layer":1},{"info":"number node, value=4716","layer":4},{"info":"number node, value=2902","layer":4},{"info":"compute binary expreesion, left_input=4716, right_input=2902, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"number node, value=2700","layer":4},{"info":"number node, value=1756","layer":4},{"info":"compute binary expreesion, left_input=2700, right_input=1756, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-7056","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=-7056, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-6922","layer":2},{"info":"number node, value=7735","layer":4},{"info":"number node, value=6608","layer":4},{"info":"compute binary expreesion, left_input=7735, right_input=6608, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=1127","layer":3},{"info":"number node, value=4300","layer":4},{"info":"compute unary expreesion, input=4300, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1127, right_input=nan, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-6922, right_input=nan, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉14015∁)↼⊘⨖(≴∭⊉16455⋳⪒≴∭⊉12233)⩵∡(≴∭⊉16014⫔⩽⩺≴∭⊉15042⊉≛↸(⩷≴∭⊉11053))⫃⨇(≴∭⊉16515⫗⊷⫓≴∭⊉11314⨳⩥⨓(≴∭⊉10605⫃⨇≴∭⊉5056))∝(≴∭⊉31360⫁⪎≴∭⊉25160↡⊰⫅(⇵⪽≴∭⊉15352))=NaN","reverse_text":"NaN=(≴∭⊉14015∁)↼⊘⨖(≴∭⊉16455⋳⪒≴∭⊉12233)⩵∡(≴∭⊉16014⫔⩽⩺≴∭⊉15042⊉≛↸(⩷≴∭⊉11053))⫃⨇(≴∭⊉16515⫗⊷⫓≴∭⊉11314⨳⩥⨓(≴∭⊉10605⫃⨇≴∭⊉5056))∝(≴∭⊉31360⫁⪎≴∭⊉25160↡⊰⫅(⇵⪽≴∭⊉15352))","cot":[{"info":"≴∭⊉14015∁=≴∭⊉14015","layer":3},{"info":"≴∭⊉16455⋳⪒≴∭⊉12233=≴∭⊉23120","layer":3},{"info":"≴∭⊉14015↼⊘⨖≴∭⊉23120=≴∭⊉45502","layer":2},{"info":"≴∭⊉16014⫔⩽⩺≴∭⊉15042=NaN","layer":3},{"info":"⩷≴∭⊉11053=≴∭⊉-166363","layer":3},{"info":"NaN⊉≛↸≴∭⊉-166363=NaN","layer":2},{"info":"≴∭⊉45502⩵∡NaN=NaN","layer":1},{"info":"≴∭⊉16515⫗⊷⫓≴∭⊉11314=≴∭⊉-251","layer":3},{"info":"≴∭⊉10605⫃⨇≴∭⊉5056=≴∭⊉-26400","layer":3},{"info":"≴∭⊉-251⨳⩥⨓≴∭⊉-26400=≴∭⊉-26116","layer":2},{"info":"≴∭⊉31360⫁⪎≴∭⊉25160=≴∭⊉3200","layer":3},{"info":"⇵⪽≴∭⊉15352=NaN","layer":3},{"info":"≴∭⊉3200↡⊰⫅NaN=NaN","layer":2},{"info":"≴∭⊉-26116∝NaN=NaN","layer":1},{"info":"NaN⫃⨇NaN=NaN","layer":0}]}
+{"id":984,"expression_no_base_symbol":"((↸⊣$4852$)⪐)⩁⩘(($1199$∪⫐$2548$)⪢$2150$⫗⊷⫓$2826$)↡⊰⫅(↡(($1381$⪭$2868$)⋛($4538$≎⊠⪸$1341$)))","expression":"((↸⊣≴∭⊉20101)⪐)⩁⩘((≴∭⊉3332∪⫐≴∭⊉10300)⪢≴∭⊉6161⫗⊷⫓≴∭⊉11145)↡⊰⫅(↡((≴∭⊉4012⪭≴∭⊉11235)⋛(≴∭⊉16142≎⊠⪸≴∭⊉3624)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2197839,"operation_count":11,"complexity_ratio":199803.54545454544,"tree":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"numeric_atoms","value":4852,"base":7}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":1199,"base":7},"right_expr":{"type":"numeric_atoms","value":2548,"base":7}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":2150,"base":7},"right_expr":{"type":"numeric_atoms","value":2826,"base":7}}}},"right_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":1381,"base":7},"right_expr":{"type":"numeric_atoms","value":2868,"base":7}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":4538,"base":7},"right_expr":{"type":"numeric_atoms","value":1341,"base":7}}}}},"used_operators":["VCtxkLNOzz","gub5Cegaqo","eH2TOUuTDT","wztAlM01eG","dWAJyo7jo9","7YooWSwCyH","zashukvMKz","MXaNJeIAZ3","YbUVn0Rbpy","j9kHMeSvPp","bJkvcejdHO"],"dependent_operators":["Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","DpFCA1CohY","IWmyXbctLI","W4YGzv6Whe","t8gj7n24qd","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","k8jYdgA6NY","rJVOvQCfKK","2DDjHMKMc0","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","COABgblf1C","xUOZtlo3hN","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4852","layer":4},{"info":"compute unary expreesion, input=4852, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-4565","layer":3},{"info":"compute unary expreesion, input=-4565, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=-9130","layer":2},{"info":"number node, value=1199","layer":4},{"info":"number node, value=2548","layer":4},{"info":"compute binary expreesion, left_input=1199, right_input=2548, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=1199","layer":3},{"info":"number node, value=2150","layer":4},{"info":"number node, value=2826","layer":4},{"info":"compute binary expreesion, left_input=2150, right_input=2826, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=1199, right_input=-134, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-9130, right_input=nan, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=nan","layer":1},{"info":"number node, value=1381","layer":4},{"info":"number node, value=2868","layer":4},{"info":"compute binary expreesion, left_input=1381, right_input=2868, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"number node, value=4538","layer":4},{"info":"number node, value=1341","layer":4},{"info":"compute binary expreesion, left_input=4538, right_input=1341, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1174869","layer":3},{"info":"compute binary expreesion, left_input=5, right_input=1174869, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-123927","layer":2},{"info":"compute unary expreesion, input=-123927, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=-1115343","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1115343, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((↸⊣≴∭⊉20101)⪐)⩁⩘((≴∭⊉3332∪⫐≴∭⊉10300)⪢≴∭⊉6161⫗⊷⫓≴∭⊉11145)↡⊰⫅(↡((≴∭⊉4012⪭≴∭⊉11235)⋛(≴∭⊉16142≎⊠⪸≴∭⊉3624)))=NaN","reverse_text":"NaN=((↸⊣≴∭⊉20101)⪐)⩁⩘((≴∭⊉3332∪⫐≴∭⊉10300)⪢≴∭⊉6161⫗⊷⫓≴∭⊉11145)↡⊰⫅(↡((≴∭⊉4012⪭≴∭⊉11235)⋛(≴∭⊉16142≎⊠⪸≴∭⊉3624)))","cot":[{"info":"↸⊣≴∭⊉20101=≴∭⊉-16211","layer":3},{"info":"≴∭⊉-16211⪐=≴∭⊉-35422","layer":2},{"info":"≴∭⊉3332∪⫐≴∭⊉10300=≴∭⊉3332","layer":3},{"info":"≴∭⊉6161⫗⊷⫓≴∭⊉11145=≴∭⊉-251","layer":3},{"info":"≴∭⊉3332⪢≴∭⊉-251=NaN","layer":2},{"info":"≴∭⊉-35422⩁⩘NaN=NaN","layer":1},{"info":"≴∭⊉4012⪭≴∭⊉11235=≴∭⊉5","layer":3},{"info":"≴∭⊉16142≎⊠⪸≴∭⊉3624=≴∭⊉12662163","layer":3},{"info":"≴∭⊉5⋛≴∭⊉12662163=≴∭⊉-1024206","layer":2},{"info":"↡≴∭⊉-1024206=≴∭⊉-12323505","layer":1},{"info":"NaN↡⊰⫅≴∭⊉-12323505=NaN","layer":0}]}
+{"id":985,"expression_no_base_symbol":"((∑⇻≧(∷≠$1837$))↪⪝)⋻⩜⩜((⋼∭⪍(≔$1883$))%(∂($4103$∝$1120$)))","expression":"((∑⇻≧(∷≠≴∭⊉5233))↪⪝)⋻⩜⩜((⋼∭⪍(≔≴∭⊉5330))%(∂(≴∭⊉14651∝≴∭⊉3160)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":773,"operation_count":9,"complexity_ratio":85.88888888888889,"tree":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"numeric_atoms","value":1837,"base":7}}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"numeric_atoms","value":1883,"base":7}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":4103,"base":7},"right_expr":{"type":"numeric_atoms","value":1120,"base":7}}}}},"used_operators":["oDCm7WA9JY","l07mrZUIn9","l1M9WJ3V7u","QiR2Oyf5Xj","k8jYdgA6NY","DbCuESL50I","8FLs4eVsLt","Uaa54Peajs","cTDWOvIxvz"],"dependent_operators":["mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","9HNa5Wba9A","2DDjHMKMc0","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","7j4O788W3g","rysDP5nf3Z","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","7j4O788W3g","W4YGzv6Whe","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1837","layer":4},{"info":"compute unary expreesion, input=1837, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=1837","layer":3},{"info":"compute unary expreesion, input=1837, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":2},{"info":"compute unary expreesion, input=-852, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=-52127064","layer":1},{"info":"number node, value=1883","layer":4},{"info":"compute unary expreesion, input=1883, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-51430","layer":3},{"info":"compute unary expreesion, input=-51430, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-308478","layer":2},{"info":"number node, value=4103","layer":4},{"info":"number node, value=1120","layer":4},{"info":"compute binary expreesion, left_input=4103, right_input=1120, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=4108","layer":3},{"info":"compute unary expreesion, input=4108, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-308478, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-52127064, right_input=nan, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((∑⇻≧(∷≠≴∭⊉5233))↪⪝)⋻⩜⩜((⋼∭⪍(≔≴∭⊉5330))%(∂(≴∭⊉14651∝≴∭⊉3160)))=NaN","reverse_text":"NaN=((∑⇻≧(∷≠≴∭⊉5233))↪⪝)⋻⩜⩜((⋼∭⪍(≔≴∭⊉5330))%(∂(≴∭⊉14651∝≴∭⊉3160)))","cot":[{"info":"∷≠≴∭⊉5233=≴∭⊉5233","layer":3},{"info":"∑⇻≧≴∭⊉5233=≴∭⊉-2325","layer":2},{"info":"≴∭⊉-2325↪⪝=≴∭⊉-1202033643","layer":1},{"info":"≔≴∭⊉5330=≴∭⊉-302641","layer":3},{"info":"⋼∭⪍≴∭⊉-302641=≴∭⊉-2423232","layer":2},{"info":"≴∭⊉14651∝≴∭⊉3160=≴∭⊉14656","layer":3},{"info":"∂≴∭⊉14656=NaN","layer":2},{"info":"≴∭⊉-2423232%NaN=NaN","layer":1},{"info":"≴∭⊉-1202033643⋻⩜⩜NaN=NaN","layer":0}]}
+{"id":986,"expression_no_base_symbol":"((⇠$6379$)↢($6969$⪢$7081$))≁(($3333$∼$3250$)↹⊜$4848$∳⫺$1687$)⩧⪆($2142$∘$4734$⋻⩜⩜(⨞⊢$3905$))∋(⊁⨺($2223$⪕$1054$))","expression":"((⇠≴∭⊉24412)↢(≴∭⊉26214⪢≴∭⊉26434))≁((≴∭⊉12501∼≴∭⊉12322)↹⊜≴∭⊉20064∳⫺≴∭⊉4630)⩧⪆(≴∭⊉6150∘≴∭⊉16542⋻⩜⩜(⨞⊢≴∭⊉14246))∋(⊁⨺(≴∭⊉6324⪕≴∭⊉3034))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":64525,"operation_count":14,"complexity_ratio":4608.928571428572,"tree":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"numeric_atoms","value":6379,"base":7}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":6969,"base":7},"right_expr":{"type":"numeric_atoms","value":7081,"base":7}}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3333,"base":7},"right_expr":{"type":"numeric_atoms","value":3250,"base":7}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":4848,"base":7},"right_expr":{"type":"numeric_atoms","value":1687,"base":7}}}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":2142,"base":7},"right_expr":{"type":"numeric_atoms","value":4734,"base":7}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":3905,"base":7}}},"right_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":2223,"base":7},"right_expr":{"type":"numeric_atoms","value":1054,"base":7}}}}},"used_operators":["Ikt5ks8PT7","8N2wDY1A35","WR6HLWljOP","18saOjeKKm","dWAJyo7jo9","9bazX3JMtO","DyGG3AbaNP","AzXXKTstlj","ukq6epAj5P","oDCm7WA9JY","Z5m6OM72h2","xUOZtlo3hN","PxiHyQbrIp","umQnsF7QlU"],"dependent_operators":["eewbuw0ToL","t8gj7n24qd","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","k8jYdgA6NY","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","eH2TOUuTDT","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF"],"result":"≴∭⊉-6101664","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=6379","layer":4},{"info":"compute unary expreesion, input=6379, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-6137","layer":3},{"info":"number node, value=6969","layer":4},{"info":"number node, value=7081","layer":4},{"info":"compute binary expreesion, left_input=6969, right_input=7081, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-6137, right_input=nan, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=nan","layer":2},{"info":"number node, value=3333","layer":4},{"info":"number node, value=3250","layer":4},{"info":"compute binary expreesion, left_input=3333, right_input=3250, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"number node, value=4848","layer":4},{"info":"number node, value=1687","layer":4},{"info":"compute binary expreesion, left_input=4848, right_input=1687, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-260, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=nan","layer":1},{"info":"number node, value=2142","layer":4},{"info":"number node, value=4734","layer":4},{"info":"compute binary expreesion, left_input=2142, right_input=4734, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=4284","layer":3},{"info":"number node, value=3905","layer":4},{"info":"compute unary expreesion, input=3905, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-4079","layer":3},{"info":"compute binary expreesion, left_input=4284, right_input=-4079, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=8568","layer":2},{"info":"number node, value=2223","layer":4},{"info":"number node, value=1054","layer":4},{"info":"compute binary expreesion, left_input=2223, right_input=1054, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=4293","layer":3},{"info":"compute unary expreesion, input=4293, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=8568, right_input=160, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=723384","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=723384, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-723384","layer":0}],"base":7,"result_base":7,"text":"((⇠≴∭⊉24412)↢(≴∭⊉26214⪢≴∭⊉26434))≁((≴∭⊉12501∼≴∭⊉12322)↹⊜≴∭⊉20064∳⫺≴∭⊉4630)⩧⪆(≴∭⊉6150∘≴∭⊉16542⋻⩜⩜(⨞⊢≴∭⊉14246))∋(⊁⨺(≴∭⊉6324⪕≴∭⊉3034))=≴∭⊉-6101664","reverse_text":"≴∭⊉-6101664=((⇠≴∭⊉24412)↢(≴∭⊉26214⪢≴∭⊉26434))≁((≴∭⊉12501∼≴∭⊉12322)↹⊜≴∭⊉20064∳⫺≴∭⊉4630)⩧⪆(≴∭⊉6150∘≴∭⊉16542⋻⩜⩜(⨞⊢≴∭⊉14246))∋(⊁⨺(≴∭⊉6324⪕≴∭⊉3034))","cot":[{"info":"⇠≴∭⊉24412=≴∭⊉-23615","layer":3},{"info":"≴∭⊉26214⪢≴∭⊉26434=NaN","layer":3},{"info":"≴∭⊉-23615↢NaN=NaN","layer":2},{"info":"≴∭⊉12501∼≴∭⊉12322=NaN","layer":3},{"info":"≴∭⊉20064∳⫺≴∭⊉4630=≴∭⊉-521","layer":3},{"info":"NaN↹⊜≴∭⊉-521=NaN","layer":2},{"info":"NaN≁NaN=NaN","layer":1},{"info":"≴∭⊉6150∘≴∭⊉16542=≴∭⊉15330","layer":3},{"info":"⨞⊢≴∭⊉14246=≴∭⊉-14615","layer":3},{"info":"≴∭⊉15330⋻⩜⩜≴∭⊉-14615=≴∭⊉33660","layer":2},{"info":"≴∭⊉6324⪕≴∭⊉3034=≴∭⊉15342","layer":3},{"info":"⊁⨺≴∭⊉15342=≴∭⊉316","layer":2},{"info":"≴∭⊉33660∋≴∭⊉316=≴∭⊉6101664","layer":1},{"info":"NaN⩧⪆≴∭⊉6101664=≴∭⊉-6101664","layer":0}]}
+{"id":987,"expression_no_base_symbol":"($4296$⊝⪿⪼$6423$∠↢$1820$⪒⊣⊆$1463$)↹⊜($2617$⪎↠$2817$⨚$1679$⫞⩸⩒$2065$)≨(($1074$∌$9251$)⩦($4213$⫡⨏$2929$)⊲⩕⊾(⋃$1794$≎⪠$1240$))","expression":"(≴∭⊉15345⊝⪿⪼≴∭⊉24504∠↢≴∭⊉5210⪒⊣⊆≴∭⊉4160)↹⊜(≴∭⊉10426⪎↠≴∭⊉11133⨚≴∭⊉4616⫞⩸⩒≴∭⊉6010)≨((≴∭⊉3063∌≴∭⊉35654)⩦(≴∭⊉15166⫡⨏≴∭⊉11353)⊲⩕⊾(⋃≴∭⊉5142≎⪠≴∭⊉3421))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":19333,"operation_count":14,"complexity_ratio":1380.9285714285713,"tree":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":4296,"base":7},"right_expr":{"type":"numeric_atoms","value":6423,"base":7}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":1820,"base":7},"right_expr":{"type":"numeric_atoms","value":1463,"base":7}}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":2617,"base":7},"right_expr":{"type":"numeric_atoms","value":2817,"base":7}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":1679,"base":7},"right_expr":{"type":"numeric_atoms","value":2065,"base":7}}}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":1074,"base":7},"right_expr":{"type":"numeric_atoms","value":9251,"base":7}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":4213,"base":7},"right_expr":{"type":"numeric_atoms","value":2929,"base":7}}},"right_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":1794,"base":7},"right_expr":{"type":"numeric_atoms","value":1240,"base":7}}}}},"used_operators":["0KMCeP1Jsh","9bazX3JMtO","KbjG8mgYpV","3Oe9XWJUTD","eRqsBgTDFp","nREPSIbpBE","3tVxb0NHM4","XGcMNugi78","DmTXOeWf9t","0kmYd0q39Y","8cLx32lpNA","QMFrweE19q","3mBM5G4a3l","aNhz54LH3e"],"dependent_operators":["jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","sdazOOVcIp","W4YGzv6Whe","BjRHVeLaeN","12rbrZMWeM","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","g55IO6H4Gj","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF"],"result":"≴∭⊉-4510015","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4296","layer":4},{"info":"number node, value=6423","layer":4},{"info":"compute binary expreesion, left_input=4296, right_input=6423, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=74372","layer":3},{"info":"number node, value=1820","layer":4},{"info":"number node, value=1463","layer":4},{"info":"compute binary expreesion, left_input=1820, right_input=1463, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=3640","layer":3},{"info":"compute binary expreesion, left_input=74372, right_input=3640, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-347366","layer":2},{"info":"number node, value=2617","layer":4},{"info":"number node, value=2817","layer":4},{"info":"compute binary expreesion, left_input=2617, right_input=2817, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":3},{"info":"number node, value=1679","layer":4},{"info":"number node, value=2065","layer":4},{"info":"compute binary expreesion, left_input=1679, right_input=2065, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=2065","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=2065, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-7006","layer":2},{"info":"compute binary expreesion, left_input=-347366, right_input=-7006, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=55952","layer":1},{"info":"number node, value=1074","layer":4},{"info":"number node, value=9251","layer":4},{"info":"compute binary expreesion, left_input=1074, right_input=9251, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-9251","layer":3},{"info":"number node, value=4213","layer":4},{"info":"number node, value=2929","layer":4},{"info":"compute binary expreesion, left_input=4213, right_input=2929, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=27706","layer":3},{"info":"compute binary expreesion, left_input=-9251, right_input=27706, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=-204297","layer":2},{"info":"number node, value=1794","layer":4},{"info":"number node, value=1240","layer":4},{"info":"compute binary expreesion, left_input=1794, right_input=1240, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":3},{"info":"compute unary expreesion, input=19558, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=39218","layer":2},{"info":"compute binary expreesion, left_input=-204297, right_input=39218, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-562012","layer":1},{"info":"compute binary expreesion, left_input=55952, right_input=-562012, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-557044","layer":0}],"base":7,"result_base":7,"text":"(≴∭⊉15345⊝⪿⪼≴∭⊉24504∠↢≴∭⊉5210⪒⊣⊆≴∭⊉4160)↹⊜(≴∭⊉10426⪎↠≴∭⊉11133⨚≴∭⊉4616⫞⩸⩒≴∭⊉6010)≨((≴∭⊉3063∌≴∭⊉35654)⩦(≴∭⊉15166⫡⨏≴∭⊉11353)⊲⩕⊾(⋃≴∭⊉5142≎⪠≴∭⊉3421))=≴∭⊉-4510015","reverse_text":"≴∭⊉-4510015=(≴∭⊉15345⊝⪿⪼≴∭⊉24504∠↢≴∭⊉5210⪒⊣⊆≴∭⊉4160)↹⊜(≴∭⊉10426⪎↠≴∭⊉11133⨚≴∭⊉4616⫞⩸⩒≴∭⊉6010)≨((≴∭⊉3063∌≴∭⊉35654)⩦(≴∭⊉15166⫡⨏≴∭⊉11353)⊲⩕⊾(⋃≴∭⊉5142≎⪠≴∭⊉3421))","cot":[{"info":"≴∭⊉15345⊝⪿⪼≴∭⊉24504=≴∭⊉426554","layer":3},{"info":"≴∭⊉5210⪒⊣⊆≴∭⊉4160=≴∭⊉13420","layer":3},{"info":"≴∭⊉426554∠↢≴∭⊉13420=≴∭⊉-2644505","layer":2},{"info":"≴∭⊉10426⪎↠≴∭⊉11133=≴∭⊉316","layer":3},{"info":"≴∭⊉4616⫞⩸⩒≴∭⊉6010=≴∭⊉6010","layer":3},{"info":"≴∭⊉316⨚≴∭⊉6010=≴∭⊉-26266","layer":2},{"info":"≴∭⊉-2644505↹⊜≴∭⊉-26266=≴∭⊉322061","layer":1},{"info":"≴∭⊉3063∌≴∭⊉35654=≴∭⊉-35654","layer":3},{"info":"≴∭⊉15166⫡⨏≴∭⊉11353=≴∭⊉143530","layer":3},{"info":"≴∭⊉-35654⩦≴∭⊉143530=≴∭⊉-1510422","layer":2},{"info":"≴∭⊉5142≎⪠≴∭⊉3421=≴∭⊉111010","layer":3},{"info":"⋃≴∭⊉111010=≴∭⊉222224","layer":2},{"info":"≴∭⊉-1510422⊲⩕⊾≴∭⊉222224=≴∭⊉-4530343","layer":1},{"info":"≴∭⊉322061≨≴∭⊉-4530343=≴∭⊉-4510015","layer":0}]}
+{"id":988,"expression_no_base_symbol":"((↓⇌($1689$⊴$6530$))⩨($2104$≃$2933$)⨸($1036$∼$3015$))⨫⇇↔(($2499$⫦⪉$4666$)⪥($2270$⩭)⇼⇔∾$8333$⪇≇⋚$2223$⋥≓≎$4361$≚⊃≕$6098$)","expression":"((↓⇌(≴∭⊉4632⊴≴∭⊉25016))⩨(≴∭⊉6064≃≴∭⊉11360)⨸(≴∭⊉3010∼≴∭⊉11535))⨫⇇↔((≴∭⊉10200⫦⪉≴∭⊉16414)⪥(≴∭⊉6422⩭)⇼⇔∾≴∭⊉33203⪇≇⋚≴∭⊉6324⋥≓≎≴∭⊉15500≚⊃≕≴∭⊉23531)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":42233,"operation_count":14,"complexity_ratio":3016.6428571428573,"tree":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1689,"base":7},"right_expr":{"type":"numeric_atoms","value":6530,"base":7}}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":2104,"base":7},"right_expr":{"type":"numeric_atoms","value":2933,"base":7}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1036,"base":7},"right_expr":{"type":"numeric_atoms","value":3015,"base":7}}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":2499,"base":7},"right_expr":{"type":"numeric_atoms","value":4666,"base":7}},"right_expr":{"type":"unary","operator":"⩭","unary_expr":{"type":"numeric_atoms","value":2270,"base":7}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":8333,"base":7},"right_expr":{"type":"numeric_atoms","value":2223,"base":7}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":4361,"base":7},"right_expr":{"type":"numeric_atoms","value":6098,"base":7}}}}},"used_operators":["LXhwmt4mBO","2DlMacCsIx","PxpmPgHHJV","Nsiff2A1zJ","KmoU8R5UQR","YbVcJGFEVW","DyGG3AbaNP","tifHPKVTfV","QbnwKVWMIQ","wscyQdcy20","yIPP7u6H5x","Qy55tPpLXF","3sJ7IOPOlU","Bmrmz2XGnR"],"dependent_operators":["d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","dWAJyo7jo9","14qkJME0vr","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","nOKPl9n5zu","SUmda5xLS4","9HNa5Wba9A","fu6greOZ01","3tVxb0NHM4","GjBEYRfMaF","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q"],"result":"≴∭⊉-1352","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1689","layer":4},{"info":"number node, value=6530","layer":4},{"info":"compute binary expreesion, left_input=1689, right_input=6530, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=nan","layer":2},{"info":"number node, value=2104","layer":4},{"info":"number node, value=2933","layer":4},{"info":"compute binary expreesion, left_input=2104, right_input=2933, op_id = YbVcJGFEVW binary_op_definition= 'a≃b = { (((13⋥≓≎b)⋷(a⇼⇔∾b))⨁⊸⫻) , if ((b⨁⊸⫻)>=162 or (b⪠⩆⊳)<=569) ; ((-(17⋷a))↺((a⩷∴a)⊭↱(b∲⫓a))) , else }', output=-8456","layer":3},{"info":"number node, value=1036","layer":4},{"info":"number node, value=3015","layer":4},{"info":"compute binary expreesion, left_input=1036, right_input=3015, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-8456, right_input=nan, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":1},{"info":"number node, value=2499","layer":4},{"info":"number node, value=4666","layer":4},{"info":"compute binary expreesion, left_input=2499, right_input=4666, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-98","layer":3},{"info":"number node, value=2270","layer":4},{"info":"compute unary expreesion, input=2270, op_id = yIPP7u6H5x, unary_op_definition = 'a⩭ = { (((a⨐⩸⫘a)⪎↠(696*a))⪔(224⪄(⋗⩴⪓a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-98, right_input=nan, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=4260","layer":2},{"info":"number node, value=8333","layer":4},{"info":"number node, value=2223","layer":4},{"info":"compute binary expreesion, left_input=8333, right_input=2223, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"number node, value=4361","layer":4},{"info":"number node, value=6098","layer":4},{"info":"compute binary expreesion, left_input=4361, right_input=6098, op_id = Bmrmz2XGnR binary_op_definition= 'a≚⊃≕b = { (-((⊄⩳↩b)⪨≂(a⩷∴b))) , if ((b⫡⨏524)<690 or (⨞⊢a)>=395) ; ((⊄⩳↩(b⋥≓≎a))⋥≓≎((a↺a)⪨≂(479⨸⪁a))) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=67, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=167","layer":2},{"info":"compute binary expreesion, left_input=4260, right_input=167, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-4093","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-4093, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":0}],"base":7,"result_base":7,"text":"((↓⇌(≴∭⊉4632⊴≴∭⊉25016))⩨(≴∭⊉6064≃≴∭⊉11360)⨸(≴∭⊉3010∼≴∭⊉11535))⨫⇇↔((≴∭⊉10200⫦⪉≴∭⊉16414)⪥(≴∭⊉6422⩭)⇼⇔∾≴∭⊉33203⪇≇⋚≴∭⊉6324⋥≓≎≴∭⊉15500≚⊃≕≴∭⊉23531)=≴∭⊉-1352","reverse_text":"≴∭⊉-1352=((↓⇌(≴∭⊉4632⊴≴∭⊉25016))⩨(≴∭⊉6064≃≴∭⊉11360)⨸(≴∭⊉3010∼≴∭⊉11535))⨫⇇↔((≴∭⊉10200⫦⪉≴∭⊉16414)⪥(≴∭⊉6422⩭)⇼⇔∾≴∭⊉33203⪇≇⋚≴∭⊉6324⋥≓≎≴∭⊉15500≚⊃≕≴∭⊉23531)","cot":[{"info":"≴∭⊉4632⊴≴∭⊉25016=NaN","layer":3},{"info":"↓⇌NaN=NaN","layer":2},{"info":"≴∭⊉6064≃≴∭⊉11360=≴∭⊉-33440","layer":3},{"info":"≴∭⊉3010∼≴∭⊉11535=NaN","layer":3},{"info":"≴∭⊉-33440⨸NaN=NaN","layer":2},{"info":"NaN⩨NaN=NaN","layer":1},{"info":"≴∭⊉10200⫦⪉≴∭⊉16414=≴∭⊉-200","layer":3},{"info":"≴∭⊉6422⩭=NaN","layer":3},{"info":"≴∭⊉-200⪥NaN=≴∭⊉15264","layer":2},{"info":"≴∭⊉33203⪇≇⋚≴∭⊉6324=≴∭⊉0","layer":3},{"info":"≴∭⊉15500≚⊃≕≴∭⊉23531=≴∭⊉124","layer":3},{"info":"≴∭⊉0⋥≓≎≴∭⊉124=≴∭⊉326","layer":2},{"info":"≴∭⊉15264⇼⇔∾≴∭⊉326=≴∭⊉-14635","layer":1},{"info":"NaN⨫⇇↔≴∭⊉-14635=≴∭⊉-1352","layer":0}]}
+{"id":989,"expression_no_base_symbol":"↩(($1677$⋐⇩⊬)⋭≵$4135$⫢⨠$5232$)⪒⊣⊆($1520$⋹⋡⊁$6136$⨔≚≋$3934$⇡⇂$4898$)","expression":"↩((≴∭⊉4614⋐⇩⊬)⋭≵≴∭⊉15025⫢⨠≴∭⊉21153)⪒⊣⊆(≴∭⊉4301⋹⋡⊁≴∭⊉23614⨔≚≋≴∭⊉14320⇡⇂≴∭⊉20165)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":88846,"operation_count":8,"complexity_ratio":11105.75,"tree":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"unary","operator":"⋐⇩⊬","unary_expr":{"type":"numeric_atoms","value":1677,"base":7}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":4135,"base":7},"right_expr":{"type":"numeric_atoms","value":5232,"base":7}}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":1520,"base":7},"right_expr":{"type":"numeric_atoms","value":6136,"base":7}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":3934,"base":7},"right_expr":{"type":"numeric_atoms","value":4898,"base":7}}}}},"used_operators":["jLgFTUHLKL","eRqsBgTDFp","jBncVCNhdl","JuuLT1NoCs","xlXykHWxX1","Z57zeUYC9z","As8RqfVLgs","UMwdvZNt44"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","sdazOOVcIp","W4YGzv6Whe","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","mp7IySMOzn","JclMnS0uGI","ddLRYrp01A","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1"],"result":"≴∭⊉4660","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1677","layer":4},{"info":"compute unary expreesion, input=1677, op_id = JuuLT1NoCs, unary_op_definition = 'a⋐⇩⊬ = { (a⨔⇊a) , if (a∊∟⩊189)<=582 ; (a⇷a) , else }', output=1677","layer":3},{"info":"number node, value=4135","layer":4},{"info":"number node, value=5232","layer":4},{"info":"compute binary expreesion, left_input=4135, right_input=5232, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=1677, right_input=160, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":2},{"info":"number node, value=1520","layer":4},{"info":"number node, value=6136","layer":4},{"info":"compute binary expreesion, left_input=1520, right_input=6136, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=6886","layer":3},{"info":"number node, value=3934","layer":4},{"info":"number node, value=4898","layer":4},{"info":"compute binary expreesion, left_input=3934, right_input=4898, op_id = UMwdvZNt44 binary_op_definition= 'a⇡⇂b = { (((b≹⇙⪍b)⋳⪒(b⋷a))∺≝⩲(⫟(a⩷∴43))) , if (⊬↢a)==727 or (a⇔⨋)<18 ; ((604≴⪞⇿(≻⋜b))⨐⩸⫘a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=6886, right_input=nan, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=134","layer":1},{"info":"compute unary expreesion, input=134, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=1708","layer":0}],"base":7,"result_base":7,"text":"↩((≴∭⊉4614⋐⇩⊬)⋭≵≴∭⊉15025⫢⨠≴∭⊉21153)⪒⊣⊆(≴∭⊉4301⋹⋡⊁≴∭⊉23614⨔≚≋≴∭⊉14320⇡⇂≴∭⊉20165)=≴∭⊉4660","reverse_text":"≴∭⊉4660=↩((≴∭⊉4614⋐⇩⊬)⋭≵≴∭⊉15025⫢⨠≴∭⊉21153)⪒⊣⊆(≴∭⊉4301⋹⋡⊁≴∭⊉23614⨔≚≋≴∭⊉14320⇡⇂≴∭⊉20165)","cot":[{"info":"≴∭⊉4614⋐⇩⊬=≴∭⊉4614","layer":3},{"info":"≴∭⊉15025⫢⨠≴∭⊉21153=≴∭⊉316","layer":3},{"info":"≴∭⊉4614⋭≵≴∭⊉316=≴∭⊉124","layer":2},{"info":"≴∭⊉4301⋹⋡⊁≴∭⊉23614=≴∭⊉26035","layer":3},{"info":"≴∭⊉14320⇡⇂≴∭⊉20165=NaN","layer":3},{"info":"≴∭⊉26035⨔≚≋NaN=NaN","layer":2},{"info":"≴∭⊉124⪒⊣⊆NaN=≴∭⊉251","layer":1},{"info":"↩≴∭⊉251=≴∭⊉4660","layer":0}]}
+{"id":990,"expression_no_base_symbol":"((⨩∲⋌($1767$↬$3159$))*($1009$∑⇟⊟$7223$)⫯⪬∳($7146$⫳≱↱$1543$))⪟⇏((⩦⩻⨪$1044$⇤$3558$)⫸⇳$3694$⊉↱≁$1071$∘$4248$⫗⊷⫓$3042$)","expression":"((⨩∲⋌(≴∭⊉5103↬≴∭⊉12132))*(≴∭⊉2641∑⇟⊟≴∭⊉30026)⫯⪬∳(≴∭⊉26556⫳≱↱≴∭⊉4333))⪟⇏((⩦⩻⨪≴∭⊉3021⇤≴∭⊉13242)⫸⇳≴∭⊉13525⊉↱≁≴∭⊉3060∘≴∭⊉15246⫗⊷⫓≴∭⊉11604)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2363370,"operation_count":13,"complexity_ratio":181797.6923076923,"tree":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1767,"base":7},"right_expr":{"type":"numeric_atoms","value":3159,"base":7}}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1009,"base":7},"right_expr":{"type":"numeric_atoms","value":7223,"base":7}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":7146,"base":7},"right_expr":{"type":"numeric_atoms","value":1543,"base":7}}}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":1044,"base":7},"right_expr":{"type":"numeric_atoms","value":3558,"base":7}}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":3694,"base":7},"right_expr":{"type":"numeric_atoms","value":1071,"base":7}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":4248,"base":7},"right_expr":{"type":"numeric_atoms","value":3042,"base":7}}}}},"used_operators":["GODebY97qR","9HNa5Wba9A","aSik1wnThz","B5M0gjZbta","d7ASUq0ydm","U7g4x0WXJJ","ZvLB05nZmT","gx7XJ7hdpj","2td37pGCOC","YSKBFp38Pu","Z5m6OM72h2","w2P8NbNXyL","zashukvMKz"],"dependent_operators":["gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","W4YGzv6Whe","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","rGHVDoGpnC","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","eH2TOUuTDT","rysDP5nf3Z","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1767","layer":4},{"info":"number node, value=3159","layer":4},{"info":"compute binary expreesion, left_input=1767, right_input=3159, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=nan","layer":2},{"info":"number node, value=1009","layer":4},{"info":"number node, value=7223","layer":4},{"info":"compute binary expreesion, left_input=1009, right_input=7223, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=7146","layer":4},{"info":"number node, value=1543","layer":4},{"info":"compute binary expreesion, left_input=7146, right_input=1543, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-204, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=1044","layer":4},{"info":"number node, value=3558","layer":4},{"info":"compute binary expreesion, left_input=1044, right_input=3558, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-20162","layer":3},{"info":"compute unary expreesion, input=-20162, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-20162","layer":2},{"info":"number node, value=3694","layer":4},{"info":"number node, value=1071","layer":4},{"info":"compute binary expreesion, left_input=3694, right_input=1071, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=30462","layer":3},{"info":"number node, value=4248","layer":4},{"info":"number node, value=3042","layer":4},{"info":"compute binary expreesion, left_input=4248, right_input=3042, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=30462, right_input=-134, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=-30082","layer":2},{"info":"compute binary expreesion, left_input=-20162, right_input=-30082, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=0","layer":0}],"base":7,"result_base":7,"text":"((⨩∲⋌(≴∭⊉5103↬≴∭⊉12132))*(≴∭⊉2641∑⇟⊟≴∭⊉30026)⫯⪬∳(≴∭⊉26556⫳≱↱≴∭⊉4333))⪟⇏((⩦⩻⨪≴∭⊉3021⇤≴∭⊉13242)⫸⇳≴∭⊉13525⊉↱≁≴∭⊉3060∘≴∭⊉15246⫗⊷⫓≴∭⊉11604)=≴∭⊉0","reverse_text":"≴∭⊉0=((⨩∲⋌(≴∭⊉5103↬≴∭⊉12132))*(≴∭⊉2641∑⇟⊟≴∭⊉30026)⫯⪬∳(≴∭⊉26556⫳≱↱≴∭⊉4333))⪟⇏((⩦⩻⨪≴∭⊉3021⇤≴∭⊉13242)⫸⇳≴∭⊉13525⊉↱≁≴∭⊉3060∘≴∭⊉15246⫗⊷⫓≴∭⊉11604)","cot":[{"info":"≴∭⊉5103↬≴∭⊉12132=NaN","layer":3},{"info":"⨩∲⋌NaN=NaN","layer":2},{"info":"≴∭⊉2641∑⇟⊟≴∭⊉30026=NaN","layer":3},{"info":"≴∭⊉26556⫳≱↱≴∭⊉4333=≴∭⊉-411","layer":3},{"info":"NaN⫯⪬∳≴∭⊉-411=NaN","layer":2},{"info":"NaN*NaN=NaN","layer":1},{"info":"≴∭⊉3021⇤≴∭⊉13242=≴∭⊉-112532","layer":3},{"info":"⩦⩻⨪≴∭⊉-112532=≴∭⊉-112532","layer":2},{"info":"≴∭⊉13525⊉↱≁≴∭⊉3060=≴∭⊉154545","layer":3},{"info":"≴∭⊉15246⫗⊷⫓≴∭⊉11604=≴∭⊉-251","layer":3},{"info":"≴∭⊉154545∘≴∭⊉-251=≴∭⊉-153463","layer":2},{"info":"≴∭⊉-112532⫸⇳≴∭⊉-153463=≴∭⊉0","layer":1},{"info":"NaN⪟⇏≴∭⊉0=≴∭⊉0","layer":0}]}
+{"id":991,"expression_no_base_symbol":"(∂⩏⊆$1086$)⨿($3713$↬⩅∪)∘($2725$⋕⪉⪜$1150$⩅⪻⪻)⫃⨇(⨩∲⋌($1655$⋅⇍$2744$⊾⪯⋞$1881$↹⊜$5522$))","expression":"(∂⩏⊆≴∭⊉3111)⨿(≴∭⊉13553↬⩅∪)∘(≴∭⊉10642⋕⪉⪜≴∭⊉3232⩅⪻⪻)⫃⨇(⨩∲⋌(≴∭⊉4553⋅⇍≴∭⊉11000⊾⪯⋞≴∭⊉5325↹⊜≴∭⊉22046))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":10682,"operation_count":11,"complexity_ratio":971.0909090909091,"tree":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"numeric_atoms","value":1086,"base":7}},"right_expr":{"type":"unary","operator":"↬⩅∪","unary_expr":{"type":"numeric_atoms","value":3713,"base":7}}},"right_expr":{"type":"unary","operator":"⩅⪻⪻","unary_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":2725,"base":7},"right_expr":{"type":"numeric_atoms","value":1150,"base":7}}}},"right_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":1655,"base":7},"right_expr":{"type":"numeric_atoms","value":2744,"base":7}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":1881,"base":7},"right_expr":{"type":"numeric_atoms","value":5522,"base":7}}}}},"used_operators":["09Ly4LVMIf","Z5m6OM72h2","abYXlopdE0","8WDwsbhb0R","VJ330n2nnx","kHoXpA7yos","z6LnFrNh4i","aSik1wnThz","HK0tfVPux8","AdZkA7nFnk","9bazX3JMtO"],"dependent_operators":["9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","eH2TOUuTDT","rysDP5nf3Z","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","14qkJME0vr","eLAdDNolq6","D4vGDi5EA2","23Mk6UjR3U","u6S6b8DprG","SUmda5xLS4","KPf6cnQVty","8HhzD0ZcuI","9Isq31Ruls","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd"],"result":"≴∭⊉6464","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1086","layer":4},{"info":"compute unary expreesion, input=1086, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-3337","layer":3},{"info":"number node, value=3713","layer":4},{"info":"compute unary expreesion, input=3713, op_id = VJ330n2nnx, unary_op_definition = 'a↬⩅∪ = { (a≦≮≮) , if (↽≂a)!=185 or a>=376 or a<=585 ; (a⋷a) , else }', output=-11139","layer":3},{"info":"compute binary expreesion, left_input=-3337, right_input=-11139, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=67","layer":2},{"info":"number node, value=2725","layer":4},{"info":"number node, value=1150","layer":4},{"info":"compute binary expreesion, left_input=2725, right_input=1150, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":3},{"info":"compute unary expreesion, input=2802, op_id = kHoXpA7yos, unary_op_definition = 'a⩅⪻⪻ = { (a⪄((a∌↝a)⨽(a∺≝⩲a))) }', output=-414121","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=-414121, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=313","layer":1},{"info":"number node, value=1655","layer":4},{"info":"number node, value=2744","layer":4},{"info":"compute binary expreesion, left_input=1655, right_input=2744, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"number node, value=1881","layer":4},{"info":"number node, value=5522","layer":4},{"info":"compute binary expreesion, left_input=1881, right_input=5522, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-18422","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=-18422, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=-820","layer":2},{"info":"compute unary expreesion, input=-820, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-583","layer":1},{"info":"compute binary expreesion, left_input=313, right_input=-583, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=2300","layer":0}],"base":7,"result_base":7,"text":"(∂⩏⊆≴∭⊉3111)⨿(≴∭⊉13553↬⩅∪)∘(≴∭⊉10642⋕⪉⪜≴∭⊉3232⩅⪻⪻)⫃⨇(⨩∲⋌(≴∭⊉4553⋅⇍≴∭⊉11000⊾⪯⋞≴∭⊉5325↹⊜≴∭⊉22046))=≴∭⊉6464","reverse_text":"≴∭⊉6464=(∂⩏⊆≴∭��3111)⨿(≴∭⊉13553↬⩅∪)∘(≴∭⊉10642⋕⪉⪜≴∭⊉3232⩅⪻⪻)⫃⨇(⨩∲⋌(≴∭⊉4553⋅⇍≴∭⊉11000⊾⪯⋞≴∭⊉5325↹⊜≴∭⊉22046))","cot":[{"info":"∂⩏⊆≴∭⊉3111=≴∭⊉-12505","layer":3},{"info":"≴∭⊉13553↬⩅∪=≴∭⊉-44322","layer":3},{"info":"≴∭⊉-12505⨿≴∭⊉-44322=≴∭⊉124","layer":2},{"info":"≴∭⊉10642⋕⪉⪜≴∭⊉3232=≴∭⊉11112","layer":3},{"info":"≴∭⊉11112⩅⪻⪻=≴∭⊉-3343231","layer":2},{"info":"≴∭⊉124∘≴∭⊉-3343231=≴∭⊉625","layer":1},{"info":"≴∭⊉4553⋅⇍≴∭⊉11000=≴∭⊉-31","layer":3},{"info":"≴∭⊉5325↹⊜≴∭⊉22046=≴∭⊉-104465","layer":3},{"info":"≴∭⊉-31⊾⪯⋞≴∭⊉-104465=≴∭⊉-2251","layer":2},{"info":"⨩∲⋌≴∭⊉-2251=≴∭⊉-1462","layer":1},{"info":"≴∭⊉625⫃⨇≴∭⊉-1462=≴∭⊉6464","layer":0}]}
+{"id":992,"expression_no_base_symbol":"⨣⨃⇪((⪲⇎($4659$⩁))↬(($3250$⋥≓≎$2508$)+⇶⊼$2683$⩧⪆$2690$))","expression":"⨣⨃⇪((⪲⇎(≴∭⊉16404⩁))↬((≴∭⊉12322⋥≓≎≴∭⊉10212)+⇶⊼≴∭⊉10552⩧⪆≴∭⊉10562))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":46,"operation_count":7,"complexity_ratio":6.571428571428571,"tree":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"unary","operator":"⩁","unary_expr":{"type":"numeric_atoms","value":4659,"base":7}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3250,"base":7},"right_expr":{"type":"numeric_atoms","value":2508,"base":7}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":2683,"base":7},"right_expr":{"type":"numeric_atoms","value":2690,"base":7}}}}},"used_operators":["AcOhelriW5","B5M0gjZbta","XPYlsWDdGa","5GqDbVmqXU","TpPTUOHfaN","Qy55tPpLXF","Ikt5ks8PT7"],"dependent_operators":["s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","7j4O788W3g","jLgFTUHLKL","8cLx32lpNA","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","eewbuw0ToL","t8gj7n24qd"],"result":"≴∭⊉4045","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4659","layer":4},{"info":"compute unary expreesion, input=4659, op_id = 5GqDbVmqXU, unary_op_definition = 'a⩁ = { ((↩a)∌(a↺a)) }', output=-34492","layer":3},{"info":"compute unary expreesion, input=-34492, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-68984","layer":2},{"info":"number node, value=3250","layer":4},{"info":"number node, value=2508","layer":4},{"info":"compute binary expreesion, left_input=3250, right_input=2508, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1799","layer":3},{"info":"number node, value=2683","layer":4},{"info":"number node, value=2690","layer":4},{"info":"compute binary expreesion, left_input=2683, right_input=2690, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-2690","layer":3},{"info":"compute binary expreesion, left_input=1799, right_input=-2690, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-68984, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":0}],"base":7,"result_base":7,"text":"⨣⨃⇪((⪲⇎(≴∭⊉16404⩁))↬((≴∭⊉12322⋥≓≎≴∭⊉10212)+⇶⊼≴∭⊉10552⩧⪆≴∭⊉10562))=≴∭⊉4045","reverse_text":"≴∭⊉4045=⨣⨃⇪((⪲⇎(≴∭⊉16404⩁))↬((≴∭⊉12322⋥≓≎≴∭⊉10212)+⇶⊼≴∭⊉10552⩧⪆≴∭⊉10562))","cot":[{"info":"≴∭⊉16404⩁=≴∭⊉-202363","layer":3},{"info":"⪲⇎≴∭⊉-202363=≴∭⊉-405056","layer":2},{"info":"≴∭⊉12322⋥≓≎≴∭⊉10212=≴∭⊉5150","layer":3},{"info":"≴∭⊉10552⩧⪆≴∭⊉10562=≴∭⊉-10562","layer":3},{"info":"≴∭⊉5150+⇶⊼≴∭⊉-10562=NaN","layer":2},{"info":"≴∭⊉-405056↬NaN=NaN","layer":1},{"info":"⨣⨃⇪NaN=≴∭⊉4045","layer":0}]}
+{"id":993,"expression_no_base_symbol":"(⨑⩽⪐($1200$⫠)↞⋁($4286$⨎$7812$))⨑⩅≇((⩷⨜⫀($1784$⋾⨃∁$2614$))⨳⩥⨓(∤↝$1064$⪃⊛⇣$2239$))","expression":"(⨑⩽⪐(≴∭⊉3333⫠)↞⋁(≴∭⊉15332⨎≴∭⊉31530))⨑⩅≇((⩷⨜⫀(≴∭⊉5126⋾⨃∁≴∭⊉10423))⨳⩥⨓(∤↝≴∭⊉3050⪃⊛⇣≴∭⊉6346))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":20334,"operation_count":10,"complexity_ratio":2033.4,"tree":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"unary","operator":"⫠","unary_expr":{"type":"numeric_atoms","value":1200,"base":7}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":4286,"base":7},"right_expr":{"type":"numeric_atoms","value":7812,"base":7}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":1784,"base":7},"right_expr":{"type":"numeric_atoms","value":2614,"base":7}}},"right_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":1064,"base":7},"right_expr":{"type":"numeric_atoms","value":2239,"base":7}}}}},"used_operators":["h92wMvzauj","AF7qkfDlqP","RqrPlJkxDo","6SnOT2rOjz","rJVOvQCfKK","nCS4ZIUYfx","CDi0ktkjQ4","212REbPD9h","3UMq87Qwqg","rrgAzCduG9"],"dependent_operators":["s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","Bmrmz2XGnR","tmPS8pqC7x","mp7IySMOzn","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","rysDP5nf3Z","ruOEQAzv1W","nhYeJWJD5X","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA"],"result":"≴∭⊉2504","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1200","layer":4},{"info":"compute unary expreesion, input=1200, op_id = 6SnOT2rOjz, unary_op_definition = 'a⫠ = { ((a⇷0)⨪↰⇹(a≚⊃≕a)) }', output=0","layer":3},{"info":"number node, value=4286","layer":4},{"info":"number node, value=7812","layer":4},{"info":"compute binary expreesion, left_input=4286, right_input=7812, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=7812","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=7812, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=nan","layer":1},{"info":"number node, value=1784","layer":4},{"info":"number node, value=2614","layer":4},{"info":"compute binary expreesion, left_input=1784, right_input=2614, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=68298498","layer":3},{"info":"compute unary expreesion, input=68298498, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-68298225","layer":2},{"info":"number node, value=1064","layer":4},{"info":"number node, value=2239","layer":4},{"info":"compute binary expreesion, left_input=1064, right_input=2239, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":3},{"info":"compute unary expreesion, input=1234, op_id = 3UMq87Qwqg, unary_op_definition = '∤↝a = { a , if ((a⊬⨰244)<=56 or (⫇a)>308 or (a⨐673)<=60) ; (((↩⪖a)⩼⇪↪(57∝206))↺(↩(⊲⪭a))) , else }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=-68298225, right_input=1234, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=68299459","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=68299459, op_id = h92wMvzauj binary_op_definition= 'a⨑⩅≇b = { (((a⪇≇⋚b)⊬⨰(b⨽582))∌↝a) , if (↽≂a)<10 or (b⊭∹↮)==22 ; ((a⊲⩕⊾(↩a))⪕((a⨚243)⇌⫙⪟(b⪘⫢b))) , else }', output=935","layer":0}],"base":7,"result_base":7,"text":"(⨑⩽⪐(≴∭⊉3333⫠)↞⋁(≴∭⊉15332⨎≴∭⊉31530))⨑⩅≇((⩷⨜⫀(≴∭⊉5126⋾⨃∁≴∭⊉10423))⨳⩥⨓(∤↝≴∭⊉3050⪃⊛⇣≴∭⊉6346))=≴∭⊉2504","reverse_text":"≴∭⊉2504=(⨑⩽⪐(≴∭⊉3333⫠)↞⋁(≴∭⊉15332⨎≴∭⊉31530))⨑⩅≇((⩷⨜⫀(≴∭⊉5126⋾⨃∁≴∭⊉10423))⨳⩥⨓(∤↝≴∭⊉3050⪃⊛⇣≴∭⊉6346))","cot":[{"info":"≴∭⊉3333⫠=≴∭⊉0","layer":3},{"info":"≴∭⊉15332⨎≴∭⊉31530=≴∭⊉31530","layer":3},{"info":"≴∭⊉0↞⋁≴∭⊉31530=NaN","layer":2},{"info":"⨑⩽⪐NaN=NaN","layer":1},{"info":"≴∭⊉5126⋾⨃∁≴∭⊉10423=≴∭⊉1456345662","layer":3},{"info":"⩷⨜⫀≴∭⊉1456345662=≴∭⊉-1456345122","layer":2},{"info":"≴∭⊉3050⪃⊛⇣≴∭⊉6346=≴∭⊉3412","layer":3},{"info":"∤↝≴∭⊉3412=≴∭⊉3412","layer":2},{"info":"≴∭⊉-1456345122⨳⩥⨓≴∭⊉3412=≴∭⊉1456351534","layer":1},{"info":"NaN⨑⩅≇≴∭⊉1456351534=≴∭⊉2504","layer":0}]}
+{"id":994,"expression_no_base_symbol":"⫯((($1805$⪹)∙∹∝$2032$⨳⩥⨓$1947$)⇍⊗($2310$⫗⊷⫓$3008$⩨$6340$↢$1234$))","expression":"⫯(((≴∭⊉5156⪹)∙∹∝≴∭⊉5632⨳⩥⨓≴∭⊉5451)⇍⊗(≴∭⊉6510⫗⊷⫓≴∭⊉11525⩨≴∭⊉24325↢≴∭⊉3412))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2337112,"operation_count":8,"complexity_ratio":292139.0,"tree":{"type":"unary","operator":"⫯","unary_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":1805,"base":7}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2032,"base":7},"right_expr":{"type":"numeric_atoms","value":1947,"base":7}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":2310,"base":7},"right_expr":{"type":"numeric_atoms","value":3008,"base":7}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":6340,"base":7},"right_expr":{"type":"numeric_atoms","value":1234,"base":7}}}}},"used_operators":["H6BK1Evt7c","5uvYHDjeKN","HmxsFra2vL","B3sABdIn96","nCS4ZIUYfx","2DlMacCsIx","zashukvMKz","WR6HLWljOP"],"dependent_operators":["2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","9FxExcQeMw","e1ybzncUwg","QMFrweE19q","W4YGzv6Whe","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C"],"result":"≴∭⊉113113","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1805","layer":4},{"info":"compute unary expreesion, input=1805, op_id = B3sABdIn96, unary_op_definition = 'a⪹ = { ((402⫡⨏a)⩷∴(≉a)) }', output=8102","layer":3},{"info":"number node, value=2032","layer":4},{"info":"number node, value=1947","layer":4},{"info":"compute binary expreesion, left_input=2032, right_input=1947, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-85","layer":3},{"info":"compute binary expreesion, left_input=8102, right_input=-85, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":2},{"info":"number node, value=2310","layer":4},{"info":"number node, value=3008","layer":4},{"info":"compute binary expreesion, left_input=2310, right_input=3008, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"number node, value=6340","layer":4},{"info":"number node, value=1234","layer":4},{"info":"compute binary expreesion, left_input=6340, right_input=1234, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=5856","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=5856, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=132","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=132, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":1},{"info":"compute unary expreesion, input=-244, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=20296","layer":0}],"base":7,"result_base":7,"text":"⫯(((≴∭⊉5156⪹)∙∹∝≴∭⊉5632⨳⩥⨓≴∭⊉5451)⇍⊗(≴∭⊉6510⫗⊷⫓≴∭⊉11525⩨≴∭⊉24325↢≴∭⊉3412))=≴∭⊉113113","reverse_text":"≴∭⊉113113=⫯(((≴∭⊉5156⪹)∙∹∝≴∭⊉5632⨳⩥⨓≴∭⊉5451)⇍⊗(≴∭⊉6510⫗⊷⫓≴∭⊉11525⩨≴∭⊉24325↢≴∭⊉3412))","cot":[{"info":"≴∭⊉5156⪹=≴∭⊉32423","layer":3},{"info":"≴∭⊉5632⨳⩥⨓≴∭⊉5451=≴∭⊉-151","layer":3},{"info":"≴∭⊉32423∙∹∝≴∭⊉-151=≴∭⊉0","layer":2},{"info":"≴∭⊉6510⫗⊷⫓≴∭⊉11525=≴∭⊉-251","layer":3},{"info":"≴∭⊉24325↢≴∭⊉3412=≴∭⊉23034","layer":3},{"info":"≴∭⊉-251⩨≴∭⊉23034=≴∭⊉246","layer":2},{"info":"≴∭⊉0⇍⊗≴∭⊉246=≴∭⊉-466","layer":1},{"info":"⫯≴∭⊉-466=≴∭⊉113113","layer":0}]}
+{"id":995,"expression_no_base_symbol":"(⩷⨜⫀(∡$1159$))⨼⩣($1957$⋛$1331$)⨜⨶$3088$⫗⊷⫓$3074$∖((↑$2537$)∲⫓(↸⊣$2931$))⨭⪣$5466$⋥⋵⩄$7854$⩚⊴⇥($2347$⊍⩺⋍$5467$)","expression":"(⩷⨜⫀(∡≴∭⊉3244))⨼⩣(≴∭⊉5464⋛≴∭⊉3611)⨜⨶≴∭⊉12001⫗⊷⫓≴∭⊉11651∖((↑≴∭⊉10253)∲⫓(↸⊣≴∭⊉11355))⨭⪣≴∭⊉21636⋥⋵⩄≴∭⊉31620⩚⊴⇥(≴∭⊉6562⊍⩺⋍≴∭⊉21640)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":5826398,"operation_count":14,"complexity_ratio":416171.28571428574,"tree":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"numeric_atoms","value":1159,"base":7}}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":1957,"base":7},"right_expr":{"type":"numeric_atoms","value":1331,"base":7}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":3088,"base":7},"right_expr":{"type":"numeric_atoms","value":3074,"base":7}}}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"numeric_atoms","value":2537,"base":7}},"right_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"numeric_atoms","value":2931,"base":7}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":5466,"base":7},"right_expr":{"type":"numeric_atoms","value":7854,"base":7}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":2347,"base":7},"right_expr":{"type":"numeric_atoms","value":5467,"base":7}}}}},"used_operators":["tXD093vOjl","JxwMv5le6e","CDi0ktkjQ4","pRsWfj4Fpp","HiPekx5b7W","YbUVn0Rbpy","zashukvMKz","kn8WO9XteQ","i8ToyICDmI","tR7O2zTn5j","wztAlM01eG","NTOWxs364D","7t3wd0Fuz7","OXDGMFPWZM"],"dependent_operators":["rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","ruOEQAzv1W","nhYeJWJD5X","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","W4YGzv6Whe","t8gj7n24qd","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld"],"result":"≴∭⊉0","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1159","layer":4},{"info":"compute unary expreesion, input=1159, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=-1159","layer":3},{"info":"compute unary expreesion, input=-1159, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-766","layer":2},{"info":"number node, value=1957","layer":4},{"info":"number node, value=1331","layer":4},{"info":"compute binary expreesion, left_input=1957, right_input=1331, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-114579","layer":3},{"info":"number node, value=3088","layer":4},{"info":"number node, value=3074","layer":4},{"info":"compute binary expreesion, left_input=3088, right_input=3074, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"compute binary expreesion, left_input=-114579, right_input=-134, op_id = HiPekx5b7W binary_op_definition= 'a⨜⨶b = { (((107⋳⪒a)⨳⩥⨓(b⋳⪒a))⫩⊇) , if (b>512 or (b⊦⊿)==395) ; (((b⨳⩥⨓b)⇼⇔∾(a⨸⪁b))⫡⨏((b∲⫓b)≋⫹)) , else }', output=-1145811","layer":2},{"info":"compute binary expreesion, left_input=-766, right_input=-1145811, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":1},{"info":"number node, value=2537","layer":4},{"info":"compute unary expreesion, input=2537, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":3},{"info":"number node, value=2931","layer":4},{"info":"compute unary expreesion, input=2931, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-2644","layer":3},{"info":"compute binary expreesion, left_input=192, right_input=-2644, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=192","layer":2},{"info":"number node, value=5466","layer":4},{"info":"number node, value=7854","layer":4},{"info":"compute binary expreesion, left_input=5466, right_input=7854, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"number node, value=2347","layer":4},{"info":"number node, value=5467","layer":4},{"info":"compute binary expreesion, left_input=2347, right_input=5467, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=192, right_input=nan, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-21","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-21, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":0}],"base":7,"result_base":7,"text":"(⩷⨜⫀(∡≴∭⊉3244))⨼⩣(≴∭⊉5464⋛≴∭⊉3611)⨜⨶≴∭⊉12001⫗⊷⫓≴∭⊉11651∖((↑≴∭⊉10253)∲⫓(↸⊣≴∭⊉11355))⨭⪣≴∭⊉21636⋥⋵⩄≴∭⊉31620⩚⊴⇥(≴∭⊉6562⊍⩺⋍≴∭⊉21640)=≴∭⊉0","reverse_text":"≴∭⊉0=(⩷⨜⫀(∡≴∭⊉3244))⨼⩣(≴∭⊉5464⋛≴∭⊉3611)⨜⨶≴∭⊉12001⫗⊷⫓≴∭⊉11651∖((↑≴∭⊉10253)∲⫓(↸⊣≴∭⊉11355))⨭⪣≴∭⊉21636⋥⋵⩄≴∭⊉31620⩚⊴⇥(≴∭⊉6562⊍⩺⋍≴∭⊉21640)","cot":[{"info":"∡≴∭⊉3244=≴∭⊉-3244","layer":3},{"info":"⩷⨜⫀≴∭⊉-3244=≴∭⊉-2143","layer":2},{"info":"≴∭⊉5464⋛≴∭⊉3611=≴∭⊉-655023","layer":3},{"info":"≴∭⊉12001⫗⊷⫓≴∭⊉11651=≴∭⊉-251","layer":3},{"info":"≴∭⊉-655023⨜⨶≴∭⊉-251=≴∭⊉-12511362","layer":2},{"info":"≴∭⊉-2143⨼⩣≴∭⊉-12511362=NaN","layer":1},{"info":"↑≴∭⊉10253=≴∭⊉363","layer":3},{"info":"↸⊣≴∭⊉11355=≴∭⊉-10465","layer":3},{"info":"≴∭⊉363∲⫓≴∭⊉-10465=≴∭⊉363","layer":2},{"info":"≴∭⊉21636⋥⋵⩄≴∭⊉31620=≴∭⊉221","layer":3},{"info":"≴∭⊉6562⊍⩺⋍≴∭⊉21640=NaN","layer":3},{"info":"≴∭⊉221⩚⊴⇥NaN=NaN","layer":2},{"info":"≴∭⊉363⨭⪣NaN=≴∭⊉-30","layer":1},{"info":"NaN∖≴∭⊉-30=≴∭⊉0","layer":0}]}
+{"id":996,"expression_no_base_symbol":"(($4001$⊱⇼⊻$8068$⊬⫿⊭)⪨⊡($1070$∠↢$2106$⋭≵$2841$≀⩗∶$6377$))⨪↰⇹(($3167$⨑≵⋬$2886$)∌$2711$⇻⋧≁$3073$≳⇉($1030$⊢$1061$)≁($2058$⫉⨲⊜$4433$))","expression":"((≴∭⊉14444⊱⇼⊻≴∭⊉32344⊬⫿⊭)⪨⊡(≴∭⊉3056∠↢≴∭⊉6066⋭≵≴∭⊉11166≀⩗∶≴∭⊉24410))⨪↰⇹((≴∭⊉12143⨑≵⋬≴∭⊉11262)∌≴∭⊉10622⇻⋧≁≴∭⊉11650≳⇉(≴∭⊉3001⊢≴∭⊉3044)≁(≴∭⊉6000⫉⨲⊜≴∭⊉15632))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":21157,"operation_count":14,"complexity_ratio":1511.2142857142858,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"unary","operator":"⊬⫿⊭","unary_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":4001,"base":7},"right_expr":{"type":"numeric_atoms","value":8068,"base":7}}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":1070,"base":7},"right_expr":{"type":"numeric_atoms","value":2106,"base":7}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":2841,"base":7},"right_expr":{"type":"numeric_atoms","value":6377,"base":7}}}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":3167,"base":7},"right_expr":{"type":"numeric_atoms","value":2886,"base":7}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":2711,"base":7},"right_expr":{"type":"numeric_atoms","value":3073,"base":7}}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":1030,"base":7},"right_expr":{"type":"numeric_atoms","value":1061,"base":7}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":2058,"base":7},"right_expr":{"type":"numeric_atoms","value":4433,"base":7}}}}},"used_operators":["tmPS8pqC7x","kuIXHzHcAH","v0DYgG9ikt","FyVja0WsTP","jBncVCNhdl","KbjG8mgYpV","8INZBEW696","V0kx6qeWkN","8cLx32lpNA","XnXgA4xnOs","jCPkEVoL5K","8N2wDY1A35","5twsqlHp2o","WhqkvtTD3t"],"dependent_operators":["rJVOvQCfKK","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","eLAdDNolq6","P8v4zCKN1o","7j4O788W3g","8w2t5hMYqp","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","eewbuw0ToL","zVYPLywUTj"],"result":"≴∭⊉413","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=4001","layer":4},{"info":"number node, value=8068","layer":4},{"info":"compute binary expreesion, left_input=4001, right_input=8068, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":3},{"info":"compute unary expreesion, input=434, op_id = v0DYgG9ikt, unary_op_definition = 'a⊬⫿⊭ = { ((⨑⩽⪐(≤/a))↺((⨞⊢a)⨰(↽≂188))) , if a<119 ; (((∥⊫a)⨳⩥⨓(a⨵⪆a))↺(⊄⩳↩(a⋝⋈⪟a))) , else }', output=-1302","layer":2},{"info":"number node, value=1070","layer":4},{"info":"number node, value=2106","layer":4},{"info":"compute binary expreesion, left_input=1070, right_input=2106, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-32682","layer":3},{"info":"number node, value=2841","layer":4},{"info":"number node, value=6377","layer":4},{"info":"compute binary expreesion, left_input=2841, right_input=6377, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=-6","layer":3},{"info":"compute binary expreesion, left_input=-32682, right_input=-6, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=-1302, right_input=67, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=206","layer":1},{"info":"number node, value=3167","layer":4},{"info":"number node, value=2886","layer":4},{"info":"compute binary expreesion, left_input=3167, right_input=2886, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-2988","layer":3},{"info":"number node, value=2711","layer":4},{"info":"number node, value=3073","layer":4},{"info":"compute binary expreesion, left_input=2711, right_input=3073, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=-2988, right_input=-447, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-2988","layer":2},{"info":"number node, value=1030","layer":4},{"info":"number node, value=1061","layer":4},{"info":"compute binary expreesion, left_input=1030, right_input=1061, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-2304","layer":3},{"info":"number node, value=2058","layer":4},{"info":"number node, value=4433","layer":4},{"info":"compute binary expreesion, left_input=2058, right_input=4433, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-2304, right_input=0, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=-8941","layer":2},{"info":"compute binary expreesion, left_input=-2988, right_input=-8941, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=206, right_input=nan, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=206","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉14444⊱⇼⊻≴∭⊉32344⊬⫿⊭)⪨⊡(≴∭⊉3056∠↢≴∭⊉6066⋭≵≴∭⊉11166≀⩗∶≴∭⊉24410))⨪↰⇹((≴∭⊉12143⨑≵⋬≴∭⊉11262)∌≴∭⊉10622⇻⋧≁≴∭⊉11650≳⇉(≴∭⊉3001⊢≴∭⊉3044)≁(≴∭⊉6000⫉⨲⊜≴∭⊉15632))=≴∭⊉413","reverse_text":"≴∭⊉413=((≴∭⊉14444⊱⇼⊻≴∭⊉32344⊬⫿⊭)⪨⊡(≴∭⊉3056∠↢≴∭⊉6066⋭≵≴∭⊉11166≀⩗∶≴∭⊉24410))⨪↰⇹((≴∭⊉12143⨑≵⋬≴∭⊉11262)∌≴∭⊉10622⇻⋧≁≴∭⊉11650≳⇉(≴∭⊉3001⊢≴∭⊉3044)≁(≴∭⊉6000⫉⨲⊜≴∭⊉15632))","cot":[{"info":"≴∭⊉14444⊱⇼⊻≴∭⊉32344=≴∭⊉1160","layer":3},{"info":"≴∭⊉1160⊬⫿⊭=≴∭⊉-3540","layer":2},{"info":"≴∭⊉3056∠↢≴∭⊉6066=≴∭⊉-164166","layer":3},{"info":"≴∭⊉11166≀⩗∶≴∭⊉24410=≴∭⊉-6","layer":3},{"info":"≴∭⊉-164166⋭≵≴∭⊉-6=≴∭⊉124","layer":2},{"info":"≴∭⊉-3540⪨⊡≴∭⊉124=≴∭⊉413","layer":1},{"info":"≴∭⊉12143⨑≵⋬≴∭⊉11262=≴∭⊉-11466","layer":3},{"info":"≴∭⊉10622⇻⋧≁≴∭⊉11650=≴∭⊉-1206","layer":3},{"info":"≴∭⊉-11466∌≴∭⊉-1206=≴∭⊉-11466","layer":2},{"info":"≴∭⊉3001⊢≴∭⊉3044=≴∭⊉-6501","layer":3},{"info":"≴∭⊉6000⫉⨲⊜≴∭⊉15632=≴∭⊉0","layer":3},{"info":"≴∭⊉-6501≁≴∭⊉0=≴∭⊉-35032","layer":2},{"info":"≴∭⊉-11466≳⇉≴∭⊉-35032=NaN","layer":1},{"info":"≴∭⊉413⨪↰⇹NaN=≴∭⊉413","layer":0}]}
+{"id":997,"expression_no_base_symbol":"(($7631$⊬⨰$1694$⋛($3053$⊝⪿⪼$5493$))∓⋝(($1073$⋩≍≻)≀⩗∶(⊀$3070$)))⇂≾⫗((⊄⩳↩($1196$⪁$1754$))⊹∫⫚($4683$⨵⪆$1774$⋷($1504$⫲)))","expression":"((≴∭⊉31151⊬⨰≴∭⊉4640⋛(≴∭⊉11621⊝⪿⪼≴∭⊉22005))∓⋝((≴∭⊉3062⋩≍≻)≀⩗∶(⊀≴∭⊉11644)))⇂≾⫗((⊄⩳↩(≴∭⊉3326⪁≴∭⊉5054))⊹∫⫚(≴∭⊉16440⨵⪆≴∭⊉5113⋷(≴∭⊉4246⫲)))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":40165079,"operation_count":14,"complexity_ratio":2868934.214285714,"tree":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":7631,"base":7},"right_expr":{"type":"numeric_atoms","value":1694,"base":7}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":3053,"base":7},"right_expr":{"type":"numeric_atoms","value":5493,"base":7}}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"unary","operator":"⋩≍≻","unary_expr":{"type":"numeric_atoms","value":1073,"base":7}},"right_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"numeric_atoms","value":3070,"base":7}}}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":1196,"base":7},"right_expr":{"type":"numeric_atoms","value":1754,"base":7}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":4683,"base":7},"right_expr":{"type":"numeric_atoms","value":1774,"base":7}},"right_expr":{"type":"unary","operator":"⫲","unary_expr":{"type":"numeric_atoms","value":1504,"base":7}}}}},"used_operators":["aBQ6xLxuTc","PoHhknlbAi","YbUVn0Rbpy","s3Fd5m9Dh2","3Oe9XWJUTD","8INZBEW696","WYd1w68Nbz","oPMjh9089D","uWAJUKEvyW","8w2t5hMYqp","I7sXao9hZE","23Mk6UjR3U","2DQ55sFlQl","9xnGDUPbC6"],"dependent_operators":["g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","P8v4zCKN1o","Noe24qw2ks","mqXw5SEYmG","IWmyXbctLI","COABgblf1C","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","NTOWxs364D","Qy55tPpLXF","DZ8iAZOCBD","8w2t5hMYqp","2DDjHMKMc0","AF7qkfDlqP"],"result":"≴∭⊉-2053","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=7631","layer":4},{"info":"number node, value=1694","layer":4},{"info":"compute binary expreesion, left_input=7631, right_input=1694, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=13351","layer":3},{"info":"number node, value=3053","layer":4},{"info":"number node, value=5493","layer":4},{"info":"compute binary expreesion, left_input=3053, right_input=5493, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=55727","layer":3},{"info":"compute binary expreesion, left_input=13351, right_input=55727, op_id = YbUVn0Rbpy binary_op_definition= 'a⋛b = { ((293∌(291⇼⇔∾496))⨽((52⊱⇼⊻262)%(a≝⊿a))) , if (b⇯⋐)>355 ; (((b⪨≂b)→⨶⪴(71⊪))%((197∷178)⩧⪆(b⫯⪬∳256))) , else }', output=-12033","layer":2},{"info":"number node, value=1073","layer":4},{"info":"compute unary expreesion, input=1073, op_id = WYd1w68Nbz, unary_op_definition = 'a⋩≍≻ = { (∥⊫(a⊭↱21)) , if a>=390 ; ((a⨐a)⫸⊐(a⪮%⊝a)) , else }', output=-55","layer":3},{"info":"number node, value=3070","layer":4},{"info":"compute unary expreesion, input=3070, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=12018","layer":3},{"info":"compute binary expreesion, left_input=-55, right_input=12018, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=657","layer":2},{"info":"compute binary expreesion, left_input=-12033, right_input=657, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":1},{"info":"number node, value=1196","layer":4},{"info":"number node, value=1754","layer":4},{"info":"compute binary expreesion, left_input=1196, right_input=1754, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":2},{"info":"number node, value=4683","layer":4},{"info":"number node, value=1774","layer":4},{"info":"compute binary expreesion, left_input=4683, right_input=1774, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1504","layer":4},{"info":"compute unary expreesion, input=1504, op_id = 9xnGDUPbC6, unary_op_definition = 'a⫲ = { ((272⩚⊴⇥36)⊉≛↸(⨑⩽⪐a)) , if (⊄⩳↩a)<13 ; ((a⩚⊴⇥a)⋝⋈⪟(533⋥≓≎a)) , else }', output=1231","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=1231, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-320","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-320, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-92","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=-92, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-724","layer":0}],"base":7,"result_base":7,"text":"((≴∭⊉31151⊬⨰≴∭⊉4640⋛(≴∭⊉11621⊝⪿⪼≴∭⊉22005))∓⋝((≴∭⊉3062⋩≍≻)≀⩗∶(⊀≴∭⊉11644)))⇂≾⫗((⊄⩳↩(≴∭⊉3326⪁≴∭⊉5054))⊹∫⫚(≴∭⊉16440⨵⪆≴∭⊉5113⋷(≴∭⊉4246⫲)))=≴∭⊉-2053","reverse_text":"≴∭⊉-2053=((≴∭⊉31151⊬⨰≴∭⊉4640⋛(≴∭⊉11621⊝⪿⪼≴∭⊉22005))∓⋝((≴∭⊉3062⋩≍≻)≀⩗∶(⊀≴∭⊉11644)))⇂≾⫗((⊄⩳↩(≴∭⊉3326⪁≴∭⊉5054))⊹∫⫚(≴∭⊉16440⨵⪆≴∭⊉5113⋷(≴∭⊉4246⫲)))","cot":[{"info":"≴∭⊉31151⊬⨰≴∭⊉4640=≴∭⊉53632","layer":3},{"info":"≴∭⊉11621⊝⪿⪼≴∭⊉22005=≴∭⊉321320","layer":3},{"info":"≴∭⊉53632⋛≴∭⊉321320=≴∭⊉-50040","layer":2},{"info":"≴∭⊉3062⋩≍≻=≴∭⊉-106","layer":3},{"info":"⊀≴∭⊉11644=≴∭⊉50016","layer":3},{"info":"≴∭⊉-106≀⩗∶≴∭⊉50016=≴∭⊉1626","layer":2},{"info":"≴∭⊉-50040∓⋝≴∭⊉1626=≴∭⊉124","layer":1},{"info":"≴∭⊉3326⪁≴∭⊉5054=NaN","layer":3},{"info":"⊄⩳↩NaN=NaN","layer":2},{"info":"≴∭⊉16440⨵⪆≴∭⊉5113=≴∭⊉316","layer":3},{"info":"≴∭⊉4246⫲=≴∭⊉3406","layer":3},{"info":"≴∭⊉316⋷≴∭⊉3406=≴∭⊉-635","layer":2},{"info":"NaN⊹∫⫚≴∭⊉-635=≴∭⊉-161","layer":1},{"info":"≴∭⊉124⇂≾⫗≴∭⊉-161=≴∭⊉-2053","layer":0}]}
+{"id":998,"expression_no_base_symbol":"⇖⫷⫕(($3173$∓⋝$1581$⊬⫿⊭)⇴(↸⊣($3024$⫢⨠$2355$)))","expression":"⇖⫷⫕((≴∭⊉12152∓⋝≴∭⊉4416⊬⫿⊭)⇴(↸⊣(≴∭⊉11550⫢⨠≴∭⊉6603)))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":864,"operation_count":6,"complexity_ratio":144.0,"tree":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"unary","operator":"⊬⫿⊭","unary_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":3173,"base":7},"right_expr":{"type":"numeric_atoms","value":1581,"base":7}}},"right_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":3024,"base":7},"right_expr":{"type":"numeric_atoms","value":2355,"base":7}}}}},"used_operators":["UHmRx3INFg","4JB6nKBMSY","v0DYgG9ikt","PoHhknlbAi","wztAlM01eG","xlXykHWxX1"],"dependent_operators":["DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","sdazOOVcIp","NTOWxs364D","COABgblf1C","eLAdDNolq6","P8v4zCKN1o","7j4O788W3g","8w2t5hMYqp","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx"],"result":"≴∭⊉11141","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=3173","layer":4},{"info":"number node, value=1581","layer":4},{"info":"compute binary expreesion, left_input=3173, right_input=1581, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"compute unary expreesion, input=67, op_id = v0DYgG9ikt, unary_op_definition = 'a⊬⫿⊭ = { ((⨑⩽⪐(≤/a))↺((⨞⊢a)⨰(↽≂188))) , if a<119 ; (((∥⊫a)⨳⩥⨓(a⨵⪆a))↺(⊄⩳↩(a⋝⋈⪟a))) , else }', output=145","layer":2},{"info":"number node, value=3024","layer":4},{"info":"number node, value=2355","layer":4},{"info":"compute binary expreesion, left_input=3024, right_input=2355, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=127","layer":2},{"info":"compute binary expreesion, left_input=145, right_input=127, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=738","layer":1},{"info":"compute unary expreesion, input=738, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":0}],"base":7,"result_base":7,"text":"⇖⫷⫕((≴∭⊉12152∓⋝≴∭⊉4416⊬⫿⊭)⇴(↸⊣(≴∭⊉11550⫢⨠≴∭⊉6603)))=≴∭⊉11141","reverse_text":"≴∭⊉11141=⇖⫷⫕((≴∭⊉12152∓⋝≴∭⊉4416⊬⫿⊭)⇴(↸⊣(≴∭⊉11550⫢⨠≴∭⊉6603)))","cot":[{"info":"≴∭⊉12152∓⋝≴∭⊉4416=≴∭⊉124","layer":3},{"info":"≴∭⊉124⊬⫿⊭=≴∭⊉265","layer":2},{"info":"≴∭⊉11550⫢⨠≴∭⊉6603=≴∭⊉316","layer":3},{"info":"↸⊣≴∭⊉316=≴∭⊉241","layer":2},{"info":"≴∭⊉265⇴≴∭⊉241=≴∭⊉2103","layer":1},{"info":"⇖⫷⫕≴∭⊉2103=≴∭⊉11141","layer":0}]}
+{"id":999,"expression_no_base_symbol":"(⇙⪊($5684$⩍⋽⫝̸$4483$))⊢(($1246$↱$3262$)+⇶⊼$7687$≁$1389$)⊨(↣≠⋷($6325$⫗⊷⫓$2788$⪮%⊝($1601$⋭≵$2096$)))","expression":"(⇙⪊(≴∭⊉22400⩍⋽⫝̸≴∭⊉16033))⊢((≴∭⊉3430↱≴∭⊉12340)+⇶⊼≴∭⊉31261≁≴∭⊉4023)⊨(↣≠⋷(≴∭⊉24304⫗⊷⫓≴∭⊉11062⪮%⊝(≴∭⊉4445⋭≵≴∭⊉6053)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2168117,"operation_count":11,"complexity_ratio":197101.54545454544,"tree":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":5684,"base":7},"right_expr":{"type":"numeric_atoms","value":4483,"base":7}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":1246,"base":7},"right_expr":{"type":"numeric_atoms","value":3262,"base":7}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":7687,"base":7},"right_expr":{"type":"numeric_atoms","value":1389,"base":7}}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":6325,"base":7},"right_expr":{"type":"numeric_atoms","value":2788,"base":7}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":1601,"base":7},"right_expr":{"type":"numeric_atoms","value":2096,"base":7}}}}},"used_operators":["vg4gO5BX6G","5twsqlHp2o","pB6Fcnrjim","BiWNJpBvwn","TpPTUOHfaN","SR5kFfdi6N","8N2wDY1A35","Asc51vEJeQ","IWmyXbctLI","zashukvMKz","jBncVCNhdl"],"dependent_operators":["NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","Ph9nP6C5qx","xUOZtlo3hN","AHs5Up7iyr","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","XhwjNDsVaA","AHs5Up7iyr","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=5684","layer":4},{"info":"number node, value=4483","layer":4},{"info":"compute binary expreesion, left_input=5684, right_input=4483, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=3537","layer":3},{"info":"compute unary expreesion, input=3537, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":2},{"info":"number node, value=1246","layer":4},{"info":"number node, value=3262","layer":4},{"info":"compute binary expreesion, left_input=1246, right_input=3262, op_id = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-9264","layer":3},{"info":"number node, value=7687","layer":4},{"info":"number node, value=1389","layer":4},{"info":"compute binary expreesion, left_input=7687, right_input=1389, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=20135","layer":3},{"info":"compute binary expreesion, left_input=-9264, right_input=20135, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-244","layer":1},{"info":"number node, value=6325","layer":4},{"info":"number node, value=2788","layer":4},{"info":"compute binary expreesion, left_input=6325, right_input=2788, op_id = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":3},{"info":"number node, value=1601","layer":4},{"info":"number node, value=2096","layer":4},{"info":"compute binary expreesion, left_input=1601, right_input=2096, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=67","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=67, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=48","layer":2},{"info":"compute unary expreesion, input=48, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-244, right_input=nan, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"(⇙⪊(≴∭⊉22400⩍⋽⫝̸≴∭⊉16033))⊢((≴∭⊉3430↱≴∭⊉12340)+⇶⊼≴∭⊉31261≁≴∭⊉4023)⊨(↣≠⋷(≴∭⊉24304⫗⊷⫓≴∭⊉11062⪮%⊝(≴∭⊉4445⋭≵≴∭⊉6053)))=NaN","reverse_text":"NaN=(⇙⪊(≴∭⊉22400⩍⋽⫝̸≴∭⊉16033))⊢((≴∭⊉3430↱≴∭⊉12340)+⇶⊼≴∭⊉31261≁≴∭⊉4023)⊨(↣≠⋷(≴∭⊉24304⫗⊷⫓≴∭⊉11062⪮%⊝(≴∭⊉4445⋭≵≴∭⊉6053)))","cot":[{"info":"≴∭⊉22400⩍⋽⫝̸≴∭⊉16033=≴∭⊉13212","layer":3},{"info":"⇙⪊≴∭⊉13212=≴∭⊉0","layer":2},{"info":"≴∭⊉3430↱≴∭⊉12340=≴∭⊉-36003","layer":3},{"info":"≴∭⊉31261≁≴∭⊉4023=≴∭⊉112463","layer":3},{"info":"≴∭⊉-36003+⇶⊼≴∭⊉112463=NaN","layer":2},{"info":"≴∭⊉0⊢NaN=≴∭⊉-466","layer":1},{"info":"≴∭⊉24304⫗⊷⫓≴∭⊉11062=≴∭⊉-251","layer":3},{"info":"≴∭⊉4445⋭≵≴∭⊉6053=≴∭⊉124","layer":3},{"info":"≴∭⊉-251⪮%⊝≴∭⊉124=≴∭⊉66","layer":2},{"info":"↣≠⋷≴∭⊉66=NaN","layer":1},{"info":"≴∭⊉-466⊨NaN=NaN","layer":0}]}
+{"id":1000,"expression_no_base_symbol":"((⋠∜$1007$)⪔$6749$∇⊂⋱$6121$⪭≯(≑⋹(⊲⪭$2557$)))≌(((≪$7285$)≧⫂∧$1200$⨔⇊$6120$)⨚⇆($6065$∛$1266$⊭↱$1009$≳⇉$4108$))","expression":"((⋠∜≴∭⊉2636)⪔≴∭⊉25451∇⊂⋱≴∭⊉23563⪭≯(≑⋹(⊲⪭≴∭⊉10312)))≌(((≪≴∭⊉30145)≧⫂∧≴∭⊉3333⨔⇊≴∭⊉23562)⨚⇆(≴∭⊉23453∛≴∭⊉3456⊭↱≴∭⊉2641≳⇉≴∭⊉14656))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":181118055,"operation_count":14,"complexity_ratio":12937003.92857143,"tree":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"numeric_atoms","value":1007,"base":7}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":6749,"base":7},"right_expr":{"type":"numeric_atoms","value":6121,"base":7}}},"right_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"numeric_atoms","value":2557,"base":7}}}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"numeric_atoms","value":7285,"base":7}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":1200,"base":7},"right_expr":{"type":"numeric_atoms","value":6120,"base":7}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":6065,"base":7},"right_expr":{"type":"numeric_atoms","value":1266,"base":7}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":1009,"base":7},"right_expr":{"type":"numeric_atoms","value":4108,"base":7}}}}},"used_operators":["lyWz822IDG","XAx5wpdLa6","GjBEYRfMaF","ZJpFhNJr3x","nhYeJWJD5X","6B9nyZLogK","k7HXdKtiEU","lwHaAYXP2r","Ph9nP6C5qx","Qtd6bqUJcN","JclMnS0uGI","COABgblf1C","w2537kitQq","V0kx6qeWkN"],"dependent_operators":["B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","i8ToyICDmI","xUOZtlo3hN","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","rysDP5nf3Z","t8gj7n24qd","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls"],"result":"NaN","longer_result_info":{"target_base":7,"flag":true},"cot_info":[{"info":"number node, value=1007","layer":4},{"info":"compute unary expreesion, input=1007, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=6312","layer":3},{"info":"number node, value=6749","layer":4},{"info":"number node, value=6121","layer":4},{"info":"compute binary expreesion, left_input=6749, right_input=6121, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=12952","layer":3},{"info":"compute binary expreesion, left_input=6312, right_input=12952, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":2},{"info":"number node, value=2557","layer":4},{"info":"compute unary expreesion, input=2557, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-2731","layer":3},{"info":"compute unary expreesion, input=-2731, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=-766","layer":2},{"info":"compute binary expreesion, left_input=450, right_input=-766, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":1},{"info":"number node, value=7285","layer":4},{"info":"compute unary expreesion, input=7285, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":3},{"info":"number node, value=1200","layer":4},{"info":"number node, value=6120","layer":4},{"info":"compute binary expreesion, left_input=1200, right_input=6120, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=6120","layer":3},{"info":"compute binary expreesion, left_input=913, right_input=6120, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=5647","layer":2},{"info":"number node, value=6065","layer":4},{"info":"number node, value=1266","layer":4},{"info":"compute binary expreesion, left_input=6065, right_input=1266, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=67","layer":3},{"info":"number node, value=1009","layer":4},{"info":"number node, value=4108","layer":4},{"info":"compute binary expreesion, left_input=1009, right_input=4108, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=5647, right_input=nan, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=-inf","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-inf, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=nan","layer":0}],"base":7,"result_base":7,"text":"((⋠∜≴∭⊉2636)⪔≴∭⊉25451∇⊂⋱≴∭⊉23563⪭≯(≑⋹(⊲⪭≴∭⊉10312)))≌(((≪≴∭⊉30145)≧⫂∧≴∭⊉3333⨔⇊≴∭⊉23562)⨚⇆(≴∭⊉23453∛≴∭⊉3456⊭↱≴∭⊉2641≳⇉≴∭⊉14656))=NaN","reverse_text":"NaN=((⋠∜≴∭⊉2636)⪔≴∭⊉25451∇⊂⋱≴∭⊉23563⪭≯(≑⋹(⊲⪭≴∭⊉10312)))≌(((≪≴∭⊉30145)≧⫂∧≴∭⊉3333⨔⇊≴∭⊉23562)⨚⇆(≴∭⊉23453∛≴∭⊉3456⊭↱≴∭⊉2641≳⇉≴∭⊉14656))","cot":[{"info":"⋠∜≴∭⊉2636=≴∭⊉24255","layer":3},{"info":"≴∭⊉25451∇⊂⋱≴∭⊉23563=≴∭⊉52522","layer":3},{"info":"≴∭⊉24255⪔≴∭⊉52522=≴∭⊉1212","layer":2},{"info":"⊲⪭≴∭⊉10312=≴∭⊉-10651","layer":3},{"info":"≑⋹≴∭⊉-10651=≴∭⊉-2143","layer":2},{"info":"≴∭⊉1212⪭≯≴∭⊉-2143=NaN","layer":1},{"info":"≪≴∭⊉30145=≴∭⊉2443","layer":3},{"info":"≴∭⊉3333⨔⇊≴∭⊉23562=≴∭⊉23562","layer":3},{"info":"≴∭⊉2443≧⫂∧≴∭⊉23562=≴∭⊉22315","layer":2},{"info":"≴∭⊉23453∛≴∭⊉3456=≴∭⊉124","layer":3},{"info":"≴∭⊉2641≳⇉≴∭⊉14656=NaN","layer":3},{"info":"≴∭⊉124⊭↱NaN=NaN","layer":2},{"info":"≴∭⊉22315⨚⇆NaN=-Inf","layer":1},{"info":"NaN≌-Inf=NaN","layer":0}]}