diff --git "a/expression/combination_500_value1000-10000/base9_depth2.jsonl" "b/expression/combination_500_value1000-10000/base9_depth2.jsonl"
new file mode 100644--- /dev/null
+++ "b/expression/combination_500_value1000-10000/base9_depth2.jsonl"
@@ -0,0 +1,1000 @@
+{"id":1,"expression_no_base_symbol":"$2241$⊬⨰$8260$⊔($1543$⨑≵⋬$1499$)","expression":"⋋%⋟3060⊬⨰⋋%⋟12287⊔(⋋%⋟2104⨑≵⋬⋋%⋟2045)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":45,"operation_count":3,"complexity_ratio":15.0,"tree":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":2241,"base":9},"right_expr":{"type":"numeric_atoms","value":8260,"base":9}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":1543,"base":9},"right_expr":{"type":"numeric_atoms","value":1499,"base":9}}},"used_operators":["E4l6HwMY31","s3Fd5m9Dh2","XnXgA4xnOs"],"dependent_operators":["W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q"],"result":"⋋%⋟113756","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2241","layer":2},{"info":"number node, value=8260","layer":2},{"info":"compute binary expreesion, left_input=2241, right_input=8260, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=34225","layer":1},{"info":"number node, value=1543","layer":2},{"info":"number node, value=1499","layer":2},{"info":"compute binary expreesion, left_input=1543, right_input=1499, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-1399","layer":1},{"info":"compute binary expreesion, left_input=34225, right_input=-1399, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=68415","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟3060⊬⨰⋋%⋟12287⊔(⋋%⋟2104⨑≵⋬⋋%⋟2045)=⋋%⋟113756","reverse_text":"⋋%⋟113756=⋋%⋟3060⊬⨰⋋%⋟12287⊔(⋋%⋟2104⨑≵⋬⋋%⋟2045)","cot":[{"info":"⋋%⋟3060⊬⨰⋋%⋟12287=⋋%⋟51847","layer":1},{"info":"⋋%⋟2104⨑≵⋬⋋%⋟2045=⋋%⋟-1824","layer":1},{"info":"⋋%⋟51847⊔⋋%⋟-1824=⋋%⋟113756","layer":0}]}
+{"id":2,"expression_no_base_symbol":"⊲⪭(∑⇻≧$1028$)","expression":"⊲⪭(∑⇻≧⋋%⋟1362)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5,"operation_count":2,"complexity_ratio":2.5,"tree":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"numeric_atoms","value":1028,"base":9}}},"used_operators":["k7HXdKtiEU","l1M9WJ3V7u"],"dependent_operators":["i8ToyICDmI","xUOZtlo3hN","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN"],"result":"⋋%⋟833","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1028","layer":2},{"info":"compute unary expreesion, input=1028, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":1},{"info":"compute unary expreesion, input=-852, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=678","layer":0}],"base":9,"result_base":9,"text":"⊲⪭(∑⇻≧⋋%⋟1362)=⋋%⋟833","reverse_text":"⋋%⋟833=⊲⪭(∑⇻≧⋋%⋟1362)","cot":[{"info":"∑⇻≧⋋%⋟1362=⋋%⋟-1146","layer":1},{"info":"⊲⪭⋋%⋟-1146=⋋%⋟833","layer":0}]}
+{"id":3,"expression_no_base_symbol":"($4047$∌↝$4107$)⇍⊗(⊊≼∋$1193$)","expression":"(⋋%⋟5486∌↝⋋%⋟5563)⇍⊗(⊊≼∋⋋%⋟1565)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1702,"operation_count":3,"complexity_ratio":567.3333333333334,"tree":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":4047,"base":9},"right_expr":{"type":"numeric_atoms","value":4107,"base":9}},"right_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"numeric_atoms","value":1193,"base":9}}},"used_operators":["5uvYHDjeKN","9Isq31Ruls","FWz7pXsQhA"],"dependent_operators":["Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","B5M0gjZbta","jCPkEVoL5K"],"result":"⋋%⋟-301","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=4047","layer":2},{"info":"number node, value=4107","layer":2},{"info":"compute binary expreesion, left_input=4047, right_input=4107, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":1},{"info":"number node, value=1193","layer":2},{"info":"compute unary expreesion, input=1193, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=-447","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-447, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟5486∌↝⋋%⋟5563)⇍⊗(⊊≼∋⋋%⋟1565)=⋋%⋟-301","reverse_text":"⋋%⋟-301=(⋋%⋟5486∌↝⋋%⋟5563)⇍⊗(⊊≼∋⋋%⋟1565)","cot":[{"info":"⋋%⋟5486∌↝⋋%⋟5563=⋋%⋟0","layer":1},{"info":"⊊≼∋⋋%⋟1565=⋋%⋟-546","layer":1},{"info":"⋋%⋟0⇍⊗⋋%⋟-546=⋋%⋟-301","layer":0}]}
+{"id":4,"expression_no_base_symbol":"⨈⪑(⊖$3366$)","expression":"⨈⪑(⊖⋋%⋟4550)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":80,"operation_count":2,"complexity_ratio":40.0,"tree":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"numeric_atoms","value":3366,"base":9}}},"used_operators":["mp94q5OcYM","U6pG0PXrV3"],"dependent_operators":["YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx"],"result":"⋋%⋟1164","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3366","layer":2},{"info":"compute unary expreesion, input=3366, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":0}],"base":9,"result_base":9,"text":"⨈⪑(⊖⋋%⋟4550)=⋋%⋟1164","reverse_text":"⋋%⋟1164=⨈⪑(⊖⋋%⋟4550)","cot":[{"info":"⊖⋋%⋟4550=⋋%⋟0","layer":1},{"info":"⨈⪑⋋%⋟0=⋋%⋟1164","layer":0}]}
+{"id":5,"expression_no_base_symbol":"($2067$/$3039$)⫠↝⫳","expression":"(⋋%⋟2746/⋋%⋟4146)⫠↝⫳","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":20,"operation_count":2,"complexity_ratio":10.0,"tree":{"type":"unary","operator":"⫠↝⫳","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2067,"base":9},"right_expr":{"type":"numeric_atoms","value":3039,"base":9}}},"used_operators":["8n5YIzOsVS","XhwjNDsVaA"],"dependent_operators":["9FxExcQeMw","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","rysDP5nf3Z"],"result":"⋋%⋟762","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2067","layer":2},{"info":"number node, value=3039","layer":2},{"info":"compute binary expreesion, left_input=2067, right_input=3039, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = 8n5YIzOsVS, unary_op_definition = 'a⫠↝⫳ = { (((a⨸⪁a)⩷∴(⩦⩻⨪a))⫡⨏a) }', output=623","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟2746/⋋%⋟4146)⫠↝⫳=⋋%⋟762","reverse_text":"⋋%⋟762=(⋋%⋟2746/⋋%⋟4146)⫠↝⫳","cot":[{"info":"⋋%⋟2746/⋋%⋟4146=⋋%⋟0","layer":1},{"info":"⋋%⋟0⫠↝⫳=⋋%⋟762","layer":0}]}
+{"id":6,"expression_no_base_symbol":"($5664$≃⋄)↳≱(-$1626$)","expression":"(⋋%⋟7683≃⋄)↳≱(-⋋%⋟2206)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":86,"operation_count":3,"complexity_ratio":28.666666666666668,"tree":{"type":"binary","operator":"↳≱","left_expr":{"type":"unary","operator":"≃⋄","unary_expr":{"type":"numeric_atoms","value":5664,"base":9}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1626,"base":9}}},"used_operators":["JwTKLfZU96","aN9a90urxU","t8gj7n24qd"],"dependent_operators":["DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","uFcxV4UQCh","jLgFTUHLKL"],"result":"⋋%⋟0","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=5664","layer":2},{"info":"compute unary expreesion, input=5664, op_id = aN9a90urxU, unary_op_definition = 'a≃⋄ = { (↩(252⪛a)) }', output=764","layer":1},{"info":"number node, value=1626","layer":2},{"info":"compute unary expreesion, input=1626, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1626","layer":1},{"info":"compute binary expreesion, left_input=764, right_input=-1626, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟7683≃⋄)↳≱(-⋋%⋟2206)=⋋%⋟0","reverse_text":"⋋%⋟0=(⋋%⋟7683≃⋄)↳≱(-⋋%⋟2206)","cot":[{"info":"⋋%⋟7683≃⋄=⋋%⋟1038","layer":1},{"info":"-⋋%⋟2206=⋋%⋟-2206","layer":1},{"info":"⋋%⋟1038↳≱⋋%⋟-2206=⋋%⋟0","layer":0}]}
+{"id":7,"expression_no_base_symbol":"($4499$≥⨤⩑$2467$)≁(⨝⨆$2779$)","expression":"(⋋%⋟6148≥⨤⩑⋋%⋟3341)≁(⨝⨆⋋%⋟3727)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":80,"operation_count":3,"complexity_ratio":26.666666666666668,"tree":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":4499,"base":9},"right_expr":{"type":"numeric_atoms","value":2467,"base":9}},"right_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"numeric_atoms","value":2779,"base":9}}},"used_operators":["8N2wDY1A35","gJLn6v0xnP","bQ67fsrMVf"],"dependent_operators":["B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","tifHPKVTfV"],"result":"⋋%⋟73445","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=4499","layer":2},{"info":"number node, value=2467","layer":2},{"info":"compute binary expreesion, left_input=4499, right_input=2467, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":1},{"info":"number node, value=2779","layer":2},{"info":"compute unary expreesion, input=2779, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=2570","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=2570, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=48479","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟6148≥⨤⩑⋋%⋟3341)≁(⨝⨆⋋%⋟3727)=⋋%⋟73445","reverse_text":"⋋%⋟73445=(⋋%⋟6148≥⨤⩑⋋%⋟3341)≁(⨝⨆⋋%⋟3727)","cot":[{"info":"⋋%⋟6148≥⨤⩑⋋%⋟3341=⋋%⋟1621","layer":1},{"info":"⨝⨆⋋%⋟3727=⋋%⋟3465","layer":1},{"info":"⋋%⋟1621≁⋋%⋟3465=⋋%⋟73445","layer":0}]}
+{"id":8,"expression_no_base_symbol":"($4636$-$7403$)⩦($6851$⊋≦⊧$1733$)","expression":"(⋋%⋟6321-⋋%⋟11135)⩦(⋋%⋟10352⊋≦⊧⋋%⋟2335)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":39,"operation_count":3,"complexity_ratio":13.0,"tree":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":4636,"base":9},"right_expr":{"type":"numeric_atoms","value":7403,"base":9}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":6851,"base":9},"right_expr":{"type":"numeric_atoms","value":1733,"base":9}}},"used_operators":["0kmYd0q39Y","rysDP5nf3Z","oRDoc9rAEX"],"dependent_operators":["N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC"],"result":"⋋%⋟-23516","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=4636","layer":2},{"info":"number node, value=7403","layer":2},{"info":"compute binary expreesion, left_input=4636, right_input=7403, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-2767","layer":1},{"info":"number node, value=6851","layer":2},{"info":"number node, value=1733","layer":2},{"info":"compute binary expreesion, left_input=6851, right_input=1733, 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=-3226","layer":1},{"info":"compute binary expreesion, left_input=-2767, right_input=-3226, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=-15729","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟6321-⋋%⋟11135)⩦(⋋%⋟10352⊋≦⊧⋋%⋟2335)=⋋%⋟-23516","reverse_text":"⋋%⋟-23516=(⋋%⋟6321-⋋%⋟11135)⩦(⋋%⋟10352⊋≦⊧⋋%⋟2335)","cot":[{"info":"⋋%⋟6321-⋋%⋟11135=⋋%⋟-3714","layer":1},{"info":"⋋%⋟10352⊋≦⊧⋋%⋟2335=⋋%⋟-4374","layer":1},{"info":"⋋%⋟-3714⩦⋋%⋟-4374=⋋%⋟-23516","layer":0}]}
+{"id":9,"expression_no_base_symbol":"$5713$⋕⪉⪜$1239$⨫⇇↔($2083$≒∊$4927$)","expression":"⋋%⋟7747⋕⪉⪜⋋%⋟1626⨫⇇↔(⋋%⋟2764≒∊⋋%⋟6674)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":49,"operation_count":3,"complexity_ratio":16.333333333333332,"tree":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":5713,"base":9},"right_expr":{"type":"numeric_atoms","value":1239,"base":9}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":2083,"base":9},"right_expr":{"type":"numeric_atoms","value":4927,"base":9}}},"used_operators":["LXhwmt4mBO","z6LnFrNh4i","5KTvxBwnZo"],"dependent_operators":["d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl"],"result":"⋋%⋟-645","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=5713","layer":2},{"info":"number node, value=1239","layer":2},{"info":"compute binary expreesion, left_input=5713, right_input=1239, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":1},{"info":"number node, value=2083","layer":2},{"info":"number node, value=4927","layer":2},{"info":"compute binary expreesion, left_input=2083, right_input=4927, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-1599","layer":1},{"info":"compute binary expreesion, left_input=2802, right_input=-1599, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟7747⋕⪉⪜⋋%⋟1626⨫⇇↔(⋋%⋟2764≒∊⋋%⋟6674)=⋋%⋟-645","reverse_text":"⋋%⋟-645=⋋%⋟7747⋕⪉⪜⋋%⋟1626⨫⇇↔(⋋%⋟2764≒∊⋋%⋟6674)","cot":[{"info":"⋋%⋟7747⋕⪉⪜⋋%⋟1626=⋋%⋟3753","layer":1},{"info":"⋋%⋟2764≒∊⋋%⋟6674=⋋%⋟-2166","layer":1},{"info":"⋋%⋟3753⨫⇇↔⋋%⋟-2166=⋋%⋟-645","layer":0}]}
+{"id":10,"expression_no_base_symbol":"($7607$∁)⊮⊟↴($1441$⫉⨲⊜$2701$)","expression":"(⋋%⋟11382∁)⊮⊟↴(⋋%⋟1871⫉⨲⊜⋋%⋟3631)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":78,"operation_count":3,"complexity_ratio":26.0,"tree":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"unary","operator":"∁","unary_expr":{"type":"numeric_atoms","value":7607,"base":9}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":1441,"base":9},"right_expr":{"type":"numeric_atoms","value":2701,"base":9}}},"used_operators":["QDVgd2eftb","jdwGQqwJi5","WhqkvtTD3t"],"dependent_operators":["XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","2DDjHMKMc0","eewbuw0ToL","zVYPLywUTj"],"result":"⋋%⋟0","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=7607","layer":2},{"info":"compute unary expreesion, input=7607, op_id = jdwGQqwJi5, unary_op_definition = 'a∁ = { (a⋝⋈⪟a) }', output=7607","layer":1},{"info":"number node, value=1441","layer":2},{"info":"number node, value=2701","layer":2},{"info":"compute binary expreesion, left_input=1441, right_input=2701, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=7607, right_input=0, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟11382∁)⊮⊟↴(⋋%⋟1871⫉⨲⊜⋋%⋟3631)=⋋%⋟0","reverse_text":"⋋%⋟0=(⋋%⋟11382∁)⊮⊟↴(⋋%⋟1871⫉⨲⊜⋋%⋟3631)","cot":[{"info":"⋋%⋟11382∁=⋋%⋟11382","layer":1},{"info":"⋋%⋟1871⫉⨲⊜⋋%⋟3631=⋋%⋟0","layer":1},{"info":"⋋%⋟11382⊮⊟↴⋋%⋟0=⋋%⋟0","layer":0}]}
+{"id":11,"expression_no_base_symbol":"⋎⨆$4191$⨽$1857$","expression":"⋎⨆⋋%⋟5666⨽⋋%⋟2483","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4442,"operation_count":2,"complexity_ratio":2221.0,"tree":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":4191,"base":9},"right_expr":{"type":"numeric_atoms","value":1857,"base":9}}},"used_operators":["E64sFOc4tB","8HhzD0ZcuI"],"dependent_operators":["PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"⋋%⋟16581830","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=4191","layer":2},{"info":"number node, value=1857","layer":2},{"info":"compute binary expreesion, left_input=4191, right_input=1857, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-52697700","layer":1},{"info":"compute unary expreesion, input=-52697700, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=8320752","layer":0}],"base":9,"result_base":9,"text":"⋎⨆⋋%⋟5666⨽⋋%⋟2483=⋋%⋟16581830","reverse_text":"⋋%⋟16581830=⋎⨆⋋%⋟5666⨽⋋%⋟2483","cot":[{"info":"⋋%⋟5666⨽⋋%⋟2483=⋋%⋟-120138580","layer":1},{"info":"⋎⨆⋋%⋟-120138580=⋋%⋟16581830","layer":0}]}
+{"id":12,"expression_no_base_symbol":"($1144$⩧⪆$3284$)⊲⩕⊾($4292$⪛⫼$1432$)","expression":"(⋋%⋟1511⩧⪆⋋%⋟4448)⊲⩕⊾(⋋%⋟5788⪛⫼⋋%⋟1861)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":195,"operation_count":3,"complexity_ratio":65.0,"tree":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":1144,"base":9},"right_expr":{"type":"numeric_atoms","value":3284,"base":9}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":4292,"base":9},"right_expr":{"type":"numeric_atoms","value":1432,"base":9}}},"used_operators":["DmTXOeWf9t","Ikt5ks8PT7","hyuBjUqXlG"],"dependent_operators":["23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","eewbuw0ToL","t8gj7n24qd","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG"],"result":"⋋%⋟-10522","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1144","layer":2},{"info":"number node, value=3284","layer":2},{"info":"compute binary expreesion, left_input=1144, right_input=3284, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-3284","layer":1},{"info":"number node, value=4292","layer":2},{"info":"number node, value=1432","layer":2},{"info":"compute binary expreesion, left_input=4292, right_input=1432, 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=-3284, right_input=968, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-6986","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟1511⩧⪆⋋%⋟4448)⊲⩕⊾(⋋%⋟5788⪛⫼⋋%⋟1861)=⋋%⋟-10522","reverse_text":"⋋%⋟-10522=(⋋%⋟1511⩧⪆⋋%⋟4448)⊲⩕⊾(⋋%⋟5788⪛⫼⋋%⋟1861)","cot":[{"info":"⋋%⋟1511⩧⪆⋋%⋟4448=⋋%⋟-4448","layer":1},{"info":"⋋%⋟5788⪛⫼⋋%⋟1861=⋋%⋟1285","layer":1},{"info":"⋋%⋟-4448⊲⩕⊾⋋%⋟1285=⋋%⋟-10522","layer":0}]}
+{"id":13,"expression_no_base_symbol":"$4053$⊔$6258$⪄$1958$∌$1237$","expression":"⋋%⋟5503⊔⋋%⋟8523⪄⋋%⋟2615∌⋋%⋟1624","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":112,"operation_count":3,"complexity_ratio":37.333333333333336,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":4053,"base":9},"right_expr":{"type":"numeric_atoms","value":6258,"base":9}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":1958,"base":9},"right_expr":{"type":"numeric_atoms","value":1237,"base":9}}},"used_operators":["SUmda5xLS4","E4l6HwMY31","8cLx32lpNA"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd"],"result":"⋋%⋟-11251623","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=4053","layer":2},{"info":"number node, value=6258","layer":2},{"info":"compute binary expreesion, left_input=4053, right_input=6258, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=36996","layer":1},{"info":"number node, value=1958","layer":2},{"info":"number node, value=1237","layer":2},{"info":"compute binary expreesion, left_input=1958, right_input=1237, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-1237","layer":1},{"info":"compute binary expreesion, left_input=36996, right_input=-1237, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-5466549","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟5503⊔⋋%⋟8523⪄⋋%⋟2615∌⋋%⋟1624=⋋%⋟-11251623","reverse_text":"⋋%⋟-11251623=⋋%⋟5503⊔⋋%⋟8523⪄⋋%⋟2615∌⋋%⋟1624","cot":[{"info":"⋋%⋟5503⊔⋋%⋟8523=⋋%⋟55666","layer":1},{"info":"⋋%⋟2615∌⋋%⋟1624=⋋%⋟-1624","layer":1},{"info":"⋋%⋟55666⪄⋋%⋟-1624=⋋%⋟-11251623","layer":0}]}
+{"id":14,"expression_no_base_symbol":"(↸⊣$3005$)∕⩚$3953$⩧⪆$3136$","expression":"(↸⊣⋋%⋟4108)∕⩚⋋%⋟5372⩧⪆⋋%⋟4264","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":32,"operation_count":3,"complexity_ratio":10.666666666666666,"tree":{"type":"binary","operator":"∕⩚","left_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"numeric_atoms","value":3005,"base":9}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":3953,"base":9},"right_expr":{"type":"numeric_atoms","value":3136,"base":9}}},"used_operators":["z9ffQ9n5Zr","wztAlM01eG","Ikt5ks8PT7"],"dependent_operators":["3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","eewbuw0ToL","t8gj7n24qd"],"result":"⋋%⋟-601","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3005","layer":2},{"info":"compute unary expreesion, input=3005, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-2718","layer":1},{"info":"number node, value=3953","layer":2},{"info":"number node, value=3136","layer":2},{"info":"compute binary expreesion, left_input=3953, right_input=3136, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-3136","layer":1},{"info":"compute binary expreesion, left_input=-2718, right_input=-3136, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":0}],"base":9,"result_base":9,"text":"(↸⊣⋋%⋟4108)∕⩚⋋%⋟5372⩧⪆⋋%⋟4264=⋋%⋟-601","reverse_text":"⋋%⋟-601=(↸⊣⋋%⋟4108)∕⩚⋋%⋟5372⩧⪆⋋%⋟4264","cot":[{"info":"↸⊣⋋%⋟4108=⋋%⋟-3650","layer":1},{"info":"⋋%⋟5372⩧⪆⋋%⋟4264=⋋%⋟-4264","layer":1},{"info":"⋋%⋟-3650∕⩚⋋%⋟-4264=⋋%⋟-601","layer":0}]}
+{"id":15,"expression_no_base_symbol":"⪓⩚($4334$+⇶⊼$4062$)","expression":"⪓⩚(⋋%⋟5845+⇶⊼⋋%⋟5513)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3367,"operation_count":2,"complexity_ratio":1683.5,"tree":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":4334,"base":9},"right_expr":{"type":"numeric_atoms","value":4062,"base":9}}},"used_operators":["u0R0Locfp2","TpPTUOHfaN"],"dependent_operators":["6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","AHs5Up7iyr"],"result":"⋋%⋟523","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=4334","layer":2},{"info":"number node, value=4062","layer":2},{"info":"compute binary expreesion, left_input=4334, right_input=4062, 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 = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":0}],"base":9,"result_base":9,"text":"⪓⩚(⋋%⋟5845+⇶⊼⋋%⋟5513)=⋋%⋟523","reverse_text":"⋋%⋟523=⪓⩚(⋋%⋟5845+⇶⊼⋋%⋟5513)","cot":[{"info":"⋋%⋟5845+⇶⊼⋋%⋟5513=NaN","layer":1},{"info":"⪓⩚NaN=⋋%⋟523","layer":0}]}
+{"id":16,"expression_no_base_symbol":"(∂$1322$)⫉⨲⊜$3841$⪝$1432$","expression":"(∂⋋%⋟1728)⫉⨲⊜⋋%⋟5237⪝⋋%⋟1861","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":428,"operation_count":3,"complexity_ratio":142.66666666666666,"tree":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1322,"base":9}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":3841,"base":9},"right_expr":{"type":"numeric_atoms","value":1432,"base":9}}},"used_operators":["WhqkvtTD3t","Uaa54Peajs","wicAB68Tmb"],"dependent_operators":["eewbuw0ToL","zVYPLywUTj","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X"],"result":"⋋%⋟-14822","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1322","layer":2},{"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":1},{"info":"number node, value=3841","layer":2},{"info":"number node, value=1432","layer":2},{"info":"compute binary expreesion, left_input=3841, right_input=1432, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-10035","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-10035, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=-10145","layer":0}],"base":9,"result_base":9,"text":"(∂⋋%⋟1728)⫉⨲⊜⋋%⋟5237⪝⋋%⋟1861=⋋%⋟-14822","reverse_text":"⋋%⋟-14822=(∂⋋%⋟1728)⫉⨲⊜⋋%⋟5237⪝⋋%⋟1861","cot":[{"info":"∂⋋%⋟1728=NaN","layer":1},{"info":"⋋%⋟5237⪝⋋%⋟1861=⋋%⋟-14680","layer":1},{"info":"NaN⫉⨲⊜⋋%⋟-14680=⋋%⋟-14822","layer":0}]}
+{"id":17,"expression_no_base_symbol":"($2509$≬⇓$2312$)⪘⫢(≇⪴$1823$)","expression":"(⋋%⋟3387≬⇓⋋%⋟3148)⪘⫢(≇⪴⋋%⋟2445)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":20,"operation_count":3,"complexity_ratio":6.666666666666667,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":2509,"base":9},"right_expr":{"type":"numeric_atoms","value":2312,"base":9}},"right_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"numeric_atoms","value":1823,"base":9}}},"used_operators":["oacrs7FA3X","jWTQ2TZYIH","zoVPnxeHJ3"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C"],"result":"⋋%⋟-1","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2509","layer":2},{"info":"number node, value=2312","layer":2},{"info":"compute binary expreesion, left_input=2509, right_input=2312, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":1},{"info":"number node, value=1823","layer":2},{"info":"compute unary expreesion, input=1823, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-4129","layer":1},{"info":"compute binary expreesion, left_input=-22, right_input=-4129, 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":0}],"base":9,"result_base":9,"text":"(⋋%⋟3387≬⇓⋋%⋟3148)⪘⫢(≇⪴⋋%⋟2445)=⋋%⋟-1","reverse_text":"⋋%⋟-1=(⋋%⋟3387≬⇓⋋%⋟3148)⪘⫢(≇⪴⋋%⋟2445)","cot":[{"info":"⋋%⋟3387≬⇓⋋%⋟3148=⋋%⋟-24","layer":1},{"info":"≇⪴⋋%⋟2445=⋋%⋟-5587","layer":1},{"info":"⋋%⋟-24⪘⫢⋋%⋟-5587=⋋%⋟-1","layer":0}]}
+{"id":18,"expression_no_base_symbol":"$1785$↳∿⪆$7653$⩺⪪($3279$⇉⇱⇎)","expression":"⋋%⋟2403↳∿⪆⋋%⋟11443⩺⪪(⋋%⋟4443⇉⇱⇎)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2677,"operation_count":3,"complexity_ratio":892.3333333333334,"tree":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":1785,"base":9},"right_expr":{"type":"numeric_atoms","value":7653,"base":9}},"right_expr":{"type":"unary","operator":"⇉⇱⇎","unary_expr":{"type":"numeric_atoms","value":3279,"base":9}}},"used_operators":["uvdQJvN4PV","Cw4SuJJGHO","MRPaB8lBjK"],"dependent_operators":["Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","XhwjNDsVaA","QiR2Oyf5Xj","uFcxV4UQCh","EWw2JM7wp4","t8gj7n24qd","keWfFq85dY"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1785","layer":2},{"info":"number node, value=7653","layer":2},{"info":"compute binary expreesion, left_input=1785, right_input=7653, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":1},{"info":"number node, value=3279","layer":2},{"info":"compute unary expreesion, input=3279, op_id = MRPaB8lBjK, unary_op_definition = 'a⇉⇱⇎ = { (((a/a)⪉⨛(≯757))⪛(∷≠(-a))) }', output=-3061","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-3061, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟2403↳∿⪆⋋%⋟11443⩺⪪(⋋%⋟4443⇉⇱⇎)=NaN","reverse_text":"NaN=⋋%⋟2403↳∿⪆⋋%⋟11443⩺⪪(⋋%⋟4443⇉⇱⇎)","cot":[{"info":"⋋%⋟2403↳∿⪆⋋%⋟11443=NaN","layer":1},{"info":"⋋%⋟4443⇉⇱⇎=⋋%⋟-4171","layer":1},{"info":"NaN⩺⪪⋋%⋟-4171=NaN","layer":0}]}
+{"id":19,"expression_no_base_symbol":"$1541$≨$3499$⋣⋖$6208$⫯⪬∳$6763$","expression":"⋋%⋟2102≨⋋%⋟4717⋣⋖⋋%⋟8457⫯⪬∳⋋%⋟10244","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":83,"operation_count":3,"complexity_ratio":27.666666666666668,"tree":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":1541,"base":9},"right_expr":{"type":"numeric_atoms","value":3499,"base":9}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":6208,"base":9},"right_expr":{"type":"numeric_atoms","value":6763,"base":9}}},"used_operators":["J0M6qkBnIM","0KMCeP1Jsh","d7ASUq0ydm"],"dependent_operators":["VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2"],"result":"⋋%⋟-18661","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1541","layer":2},{"info":"number node, value=3499","layer":2},{"info":"compute binary expreesion, left_input=1541, right_input=3499, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-12934","layer":1},{"info":"number node, value=6208","layer":2},{"info":"number node, value=6763","layer":2},{"info":"compute binary expreesion, left_input=6208, right_input=6763, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=24310","layer":1},{"info":"compute binary expreesion, left_input=-12934, right_input=24310, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=-12934","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟2102≨⋋%⋟4717⋣⋖⋋%⋟8457⫯⪬∳⋋%⋟10244=⋋%⋟-18661","reverse_text":"⋋%⋟-18661=⋋%⋟2102≨⋋%⋟4717⋣⋖⋋%⋟8457⫯⪬∳⋋%⋟10244","cot":[{"info":"⋋%⋟2102≨⋋%⋟4717=⋋%⋟-18661","layer":1},{"info":"⋋%⋟8457⫯⪬∳⋋%⋟10244=⋋%⋟36311","layer":1},{"info":"⋋%⋟-18661⋣⋖⋋%⋟36311=⋋%⋟-18661","layer":0}]}
+{"id":20,"expression_no_base_symbol":"$3146$⪬$1055$⋖∅⋲","expression":"⋋%⋟4275⪬⋋%⋟1402⋖∅⋲","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":737,"operation_count":2,"complexity_ratio":368.5,"tree":{"type":"unary","operator":"⋖∅⋲","unary_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":3146,"base":9},"right_expr":{"type":"numeric_atoms","value":1055,"base":9}}},"used_operators":["L95AwlJzhO","Ez1Nq5fNfI"],"dependent_operators":["gx7XJ7hdpj","3nqY3DE9mg","XTarYq4gQB","y4ImoPnbV5","i8ToyICDmI","xNBdhnnwKq","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y"],"result":"⋋%⋟-645053","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3146","layer":2},{"info":"number node, value=1055","layer":2},{"info":"compute binary expreesion, left_input=3146, right_input=1055, 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 = L95AwlJzhO, unary_op_definition = 'a⋖∅⋲ = { ((⪝⪂⫅431)⊍) , if (a∲⫓500)>7 ; ((a∽304)⫸⇳(a⊭∹↮)) , else }', output=-384231","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟4275⪬⋋%⋟1402⋖∅⋲=⋋%⋟-645053","reverse_text":"⋋%⋟-645053=⋋%⋟4275⪬⋋%⋟1402⋖∅⋲","cot":[{"info":"⋋%⋟4275⪬⋋%⋟1402=⋋%⋟1621","layer":1},{"info":"⋋%⋟1621⋖∅⋲=⋋%⋟-645053","layer":0}]}
+{"id":21,"expression_no_base_symbol":"($1133$⨑≵⋬$1565$)⫥∨⫟(⊄⩳↩$1173$)","expression":"(⋋%⋟1488⨑≵⋬⋋%⋟2128)⫥∨⫟(⊄⩳↩⋋%⋟1543)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":174,"operation_count":3,"complexity_ratio":58.0,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":1133,"base":9},"right_expr":{"type":"numeric_atoms","value":1565,"base":9}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1173,"base":9}}},"used_operators":["KYD54nUTWz","XnXgA4xnOs","8w2t5hMYqp"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1133","layer":2},{"info":"number node, value=1565","layer":2},{"info":"compute binary expreesion, left_input=1133, right_input=1565, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-3911","layer":1},{"info":"number node, value=1173","layer":2},{"info":"compute unary expreesion, input=1173, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-3519","layer":1},{"info":"compute binary expreesion, left_input=-3911, right_input=-3519, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟1488⨑≵⋬⋋%⋟2128)⫥∨⫟(⊄⩳↩⋋%⋟1543)=NaN","reverse_text":"NaN=(⋋%⋟1488⨑≵⋬⋋%⋟2128)⫥∨⫟(⊄⩳↩⋋%⋟1543)","cot":[{"info":"⋋%⋟1488⨑≵⋬⋋%⋟2128=⋋%⋟-5325","layer":1},{"info":"⊄⩳↩⋋%⋟1543=⋋%⋟-4740","layer":1},{"info":"⋋%⋟-5325⫥∨⫟⋋%⋟-4740=NaN","layer":0}]}
+{"id":22,"expression_no_base_symbol":"$1022$⨽∌$2007$⨽∌($1256$⇣⩺⋵$3212$)","expression":"⋋%⋟1355⨽∌⋋%⋟2670⨽∌(⋋%⋟1645⇣⩺⋵⋋%⋟4358)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":173,"operation_count":3,"complexity_ratio":57.666666666666664,"tree":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":1022,"base":9},"right_expr":{"type":"numeric_atoms","value":2007,"base":9}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":1256,"base":9},"right_expr":{"type":"numeric_atoms","value":3212,"base":9}}},"used_operators":["9samAPKr6k","F4yD0voBRQ"],"dependent_operators":["YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx"],"result":"⋋%⋟0","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1022","layer":2},{"info":"number node, value=2007","layer":2},{"info":"compute binary expreesion, left_input=1022, right_input=2007, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":1},{"info":"number node, value=1256","layer":2},{"info":"number node, value=3212","layer":2},{"info":"compute binary expreesion, left_input=1256, right_input=3212, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-1338","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-1338, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟1355⨽∌⋋%⋟2670⨽∌(⋋%⋟1645⇣⩺⋵⋋%⋟4358)=⋋%⋟0","reverse_text":"⋋%⋟0=⋋%⋟1355⨽∌⋋%⋟2670⨽∌(⋋%⋟1645⇣⩺⋵⋋%⋟4358)","cot":[{"info":"⋋%⋟1355⨽∌⋋%⋟2670=⋋%⋟0","layer":1},{"info":"⋋%⋟1645⇣⩺⋵⋋%⋟4358=⋋%⋟-1746","layer":1},{"info":"⋋%⋟0⨽∌⋋%⋟-1746=⋋%⋟0","layer":0}]}
+{"id":23,"expression_no_base_symbol":"⊿$2067$≁$1939$","expression":"⊿⋋%⋟2746≁⋋%⋟2584","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":92,"operation_count":2,"complexity_ratio":46.0,"tree":{"type":"unary","operator":"⊿","unary_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":2067,"base":9},"right_expr":{"type":"numeric_atoms","value":1939,"base":9}}},"used_operators":["DO4fhlbJSI","8N2wDY1A35"],"dependent_operators":["9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v"],"result":"⋋%⋟-223825","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2067","layer":2},{"info":"number node, value=1939","layer":2},{"info":"compute binary expreesion, left_input=2067, right_input=1939, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=33335","layer":1},{"info":"compute unary expreesion, input=33335, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-134078","layer":0}],"base":9,"result_base":9,"text":"⊿⋋%⋟2746≁⋋%⋟2584=⋋%⋟-223825","reverse_text":"⋋%⋟-223825=⊿⋋%⋟2746≁⋋%⋟2584","cot":[{"info":"⋋%⋟2746≁⋋%⋟2584=⋋%⋟50648","layer":1},{"info":"⊿⋋%⋟50648=⋋%⋟-223825","layer":0}]}
+{"id":24,"expression_no_base_symbol":"$6867$⩦$5171$∵≐","expression":"⋋%⋟10370⩦⋋%⋟7075∵≐","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":20,"operation_count":2,"complexity_ratio":10.0,"tree":{"type":"unary","operator":"∵≐","unary_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":6867,"base":9},"right_expr":{"type":"numeric_atoms","value":5171,"base":9}}},"used_operators":["59igzFyhWz","0kmYd0q39Y"],"dependent_operators":["W4YGzv6Whe","DZ8iAZOCBD","8w2t5hMYqp","Ph9nP6C5qx","12rbrZMWeM","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q"],"result":"⋋%⋟18478","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=6867","layer":2},{"info":"number node, value=5171","layer":2},{"info":"compute binary expreesion, left_input=6867, right_input=5171, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=13734","layer":1},{"info":"compute unary expreesion, input=13734, op_id = 59igzFyhWz, unary_op_definition = 'a∵≐ = { ((a⊉≛↸31)⋳⪒(101+a)) , if a<=828 ; ((⊄⩳↩a)≧⫂∧(a≧⫂∧a)) , else }', output=12788","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟10370⩦⋋%⋟7075∵≐=⋋%⋟18478","reverse_text":"⋋%⋟18478=⋋%⋟10370⩦⋋%⋟7075∵≐","cot":[{"info":"⋋%⋟10370⩦⋋%⋟7075=⋋%⋟20750","layer":1},{"info":"⋋%⋟20750∵≐=⋋%⋟18478","layer":0}]}
+{"id":25,"expression_no_base_symbol":"($3046$⪕$6683$)⩼⇪↪(⨂⪏⇭$1031$)","expression":"(⋋%⋟4154⪕⋋%⋟10145)⩼⇪↪(⨂⪏⇭⋋%⋟1365)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":38,"operation_count":3,"complexity_ratio":12.666666666666666,"tree":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":3046,"base":9},"right_expr":{"type":"numeric_atoms","value":6683,"base":9}},"right_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"numeric_atoms","value":1031,"base":9}}},"used_operators":["ocnLzx9CaJ","umQnsF7QlU","AYdpE9sXAk"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","eewbuw0ToL","NTOWxs364D","EBcxylXtPf"],"result":"⋋%⋟-23464","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3046","layer":2},{"info":"number node, value=6683","layer":2},{"info":"compute binary expreesion, left_input=3046, right_input=6683, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=-55","layer":1},{"info":"number node, value=1031","layer":2},{"info":"compute unary expreesion, input=1031, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=2114","layer":1},{"info":"compute binary expreesion, left_input=-55, right_input=2114, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-15691","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟4154⪕⋋%⋟10145)⩼⇪↪(⨂⪏⇭⋋%⋟1365)=⋋%⋟-23464","reverse_text":"⋋%⋟-23464=(⋋%⋟4154⪕⋋%⋟10145)⩼⇪↪(⨂⪏⇭⋋%⋟1365)","cot":[{"info":"⋋%⋟4154⪕⋋%⋟10145=⋋%⋟-61","layer":1},{"info":"⨂⪏⇭⋋%⋟1365=⋋%⋟2808","layer":1},{"info":"⋋%⋟-61⩼⇪↪⋋%⋟2808=⋋%⋟-23464","layer":0}]}
+{"id":26,"expression_no_base_symbol":"+⊝⨔$2663$∣$1293$","expression":"+⊝⨔⋋%⋟3578∣⋋%⋟1686","highest_n_order":3,"priority_hierarchical_complexity":1,"normalized_expansion_degree":41,"operation_count":2,"complexity_ratio":20.5,"tree":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":2663,"base":9},"right_expr":{"type":"numeric_atoms","value":1293,"base":9}}},"used_operators":["DhbWaqg5eL","PPChnnnBFF"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI"],"result":"⋋%⋟2071","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=2663","layer":2},{"info":"number node, value=1293","layer":2},{"info":"compute binary expreesion, left_input=2663, right_input=1293, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=2663","layer":1},{"info":"compute unary expreesion, input=2663, 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":9,"result_base":9,"text":"+⊝⨔⋋%⋟3578∣⋋%⋟1686=⋋%⋟2071","reverse_text":"⋋%⋟2071=+⊝⨔⋋%⋟3578∣⋋%⋟1686","cot":[{"info":"⋋%⋟3578∣⋋%⋟1686=⋋%⋟3578","layer":1},{"info":"+⊝⨔⋋%⋟3578=⋋%⋟2071","layer":0}]}
+{"id":27,"expression_no_base_symbol":"(⫶⊄≣$2345$)↤⩊($5496$↺$2318$)","expression":"(⫶⊄≣⋋%⋟3185)↤⩊(⋋%⋟7476↺⋋%⋟3155)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2547,"operation_count":3,"complexity_ratio":849.0,"tree":{"type":"binary","operator":"↤⩊","left_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"numeric_atoms","value":2345,"base":9}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":5496,"base":9},"right_expr":{"type":"numeric_atoms","value":2318,"base":9}}},"used_operators":["13rbtpv6ld","wxb3vTeyAj","7j4O788W3g"],"dependent_operators":["s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2345","layer":2},{"info":"compute unary expreesion, input=2345, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=99021349","layer":1},{"info":"number node, value=5496","layer":2},{"info":"number node, value=2318","layer":2},{"info":"compute binary expreesion, left_input=5496, right_input=2318, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2318","layer":1},{"info":"compute binary expreesion, left_input=99021349, right_input=2318, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(⫶⊄≣⋋%⋟3185)↤⩊(⋋%⋟7476↺⋋%⋟3155)=NaN","reverse_text":"NaN=(⫶⊄≣⋋%⋟3185)↤⩊(⋋%⋟7476↺⋋%⋟3155)","cot":[{"info":"⫶⊄≣⋋%⋟3185=⋋%⋟226283671","layer":1},{"info":"⋋%⋟7476↺⋋%⋟3155=⋋%⋟3155","layer":1},{"info":"⋋%⋟226283671↤⩊⋋%⋟3155=NaN","layer":0}]}
+{"id":28,"expression_no_base_symbol":"$4239$⪝$1653$⪍↜⋙$1088$∇⊂⋱$2390$","expression":"⋋%⋟5730⪝⋋%⋟2236⪍↜⋙⋋%⋟1438∇⊂⋱⋋%⋟3245","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":453,"operation_count":3,"complexity_ratio":151.0,"tree":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":4239,"base":9},"right_expr":{"type":"numeric_atoms","value":1653,"base":9}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":1088,"base":9},"right_expr":{"type":"numeric_atoms","value":2390,"base":9}}},"used_operators":["L05ObWFQCd","wicAB68Tmb","nhYeJWJD5X"],"dependent_operators":["rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx"],"result":"⋋%⋟75121","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=4239","layer":2},{"info":"number node, value=1653","layer":2},{"info":"compute binary expreesion, left_input=4239, right_input=1653, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-10743","layer":1},{"info":"number node, value=1088","layer":2},{"info":"number node, value=2390","layer":2},{"info":"compute binary expreesion, left_input=1088, right_input=2390, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=1630","layer":1},{"info":"compute binary expreesion, left_input=-10743, right_input=1630, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=49672","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟5730⪝⋋%⋟2236⪍↜⋙⋋%⋟1438∇⊂⋱⋋%⋟3245=⋋%⋟75121","reverse_text":"⋋%⋟75121=⋋%⋟5730⪝⋋%⋟2236⪍↜⋙⋋%⋟1438∇⊂⋱⋋%⋟3245","cot":[{"info":"⋋%⋟5730⪝⋋%⋟2236=⋋%⋟-15656","layer":1},{"info":"⋋%⋟1438∇⊂⋱⋋%⋟3245=⋋%⋟2211","layer":1},{"info":"⋋%⋟-15656⪍↜⋙⋋%⋟2211=⋋%⋟75121","layer":0}]}
+{"id":29,"expression_no_base_symbol":"⨵≀≌$1053$∀⇚≩$3203$","expression":"⨵≀≌⋋%⋟1400∀⇚≩⋋%⋟4348","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":7374,"operation_count":2,"complexity_ratio":3687.0,"tree":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1053,"base":9},"right_expr":{"type":"numeric_atoms","value":3203,"base":9}}},"used_operators":["srAu1WTS94","LRNGc0VcxI"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1053","layer":2},{"info":"number node, value=3203","layer":2},{"info":"compute binary expreesion, left_input=1053, right_input=3203, 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 = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=nan","layer":0}],"base":9,"result_base":9,"text":"⨵≀≌⋋%⋟1400∀⇚≩⋋%⋟4348=NaN","reverse_text":"NaN=⨵≀≌⋋%⋟1400∀⇚≩⋋%⋟4348","cot":[{"info":"⋋%⋟1400∀⇚≩⋋%⋟4348=NaN","layer":1},{"info":"⨵≀≌NaN=NaN","layer":0}]}
+{"id":30,"expression_no_base_symbol":"$5885$⊾⪯⋞$1608$⫚↹⊑(⨑⩽⪐$1358$)","expression":"⋋%⋟8058⊾⪯⋞⋋%⋟2176⫚↹⊑(⨑⩽⪐⋋%⋟1768)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":76,"operation_count":3,"complexity_ratio":25.333333333333332,"tree":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":5885,"base":9},"right_expr":{"type":"numeric_atoms","value":1608,"base":9}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1358,"base":9}}},"used_operators":["dfKe02y8D2","HK0tfVPux8","AF7qkfDlqP"],"dependent_operators":["2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"⋋%⋟-546","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=5885","layer":2},{"info":"number node, value=1608","layer":2},{"info":"compute binary expreesion, left_input=5885, right_input=1608, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=2790","layer":1},{"info":"number node, value=1358","layer":2},{"info":"compute unary expreesion, input=1358, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1085","layer":1},{"info":"compute binary expreesion, left_input=2790, right_input=-1085, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟8058⊾⪯⋞⋋%⋟2176⫚↹⊑(⨑⩽⪐⋋%⋟1768)=⋋%⋟-546","reverse_text":"⋋%⋟-546=⋋%⋟8058⊾⪯⋞⋋%⋟2176⫚↹⊑(⨑⩽⪐⋋%⋟1768)","cot":[{"info":"⋋%⋟8058⊾⪯⋞⋋%⋟2176=⋋%⋟3740","layer":1},{"info":"⨑⩽⪐⋋%⋟1768=⋋%⋟-1435","layer":1},{"info":"⋋%⋟3740⫚↹⊑⋋%⋟-1435=⋋%⋟-546","layer":0}]}
+{"id":31,"expression_no_base_symbol":"≅≯⇸($4995$⊧↖)","expression":"≅≯⇸(⋋%⋟6760⊧↖)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5057,"operation_count":2,"complexity_ratio":2528.5,"tree":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"unary","operator":"⊧↖","unary_expr":{"type":"numeric_atoms","value":4995,"base":9}}},"used_operators":["apS25hmuAe","EKiFHuOFxO"],"dependent_operators":["EBcxylXtPf","QMFrweE19q","5twsqlHp2o","dfKe02y8D2","8HhzD0ZcuI"],"result":"⋋%⋟1481863185","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=4995","layer":2},{"info":"compute unary expreesion, input=4995, op_id = EKiFHuOFxO, unary_op_definition = 'a⊧↖ = { ((a⨽a)⊢(a⫚↹⊑79)) }', output=149727248","layer":1},{"info":"compute unary expreesion, input=149727248, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=598916669","layer":0}],"base":9,"result_base":9,"text":"≅≯⇸(⋋%⋟6760⊧↖)=⋋%⋟1481863185","reverse_text":"⋋%⋟1481863185=≅≯⇸(⋋%⋟6760⊧↖)","cot":[{"info":"⋋%⋟6760⊧↖=⋋%⋟342657148","layer":1},{"info":"≅≯⇸⋋%⋟342657148=⋋%⋟1481863185","layer":0}]}
+{"id":32,"expression_no_base_symbol":"(↯⪼$5454$)⩵∡$1373$⫸⇳$3479$","expression":"(↯⪼⋋%⋟7430)⩵∡⋋%⋟1785⫸⇳⋋%⋟4685","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":49,"operation_count":3,"complexity_ratio":16.333333333333332,"tree":{"type":"binary","operator":"⩵∡","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":5454,"base":9}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":1373,"base":9},"right_expr":{"type":"numeric_atoms","value":3479,"base":9}}},"used_operators":["Y7wcNGrDQJ","8jW3W4yZS5","gx7XJ7hdpj"],"dependent_operators":["NTOWxs364D","glklzrTFfD","tifHPKVTfV","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL"],"result":"⋋%⋟-64","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=5454","layer":2},{"info":"compute unary expreesion, input=5454, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":1},{"info":"number node, value=1373","layer":2},{"info":"number node, value=3479","layer":2},{"info":"compute binary expreesion, left_input=1373, right_input=3479, 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=-21, right_input=0, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-58","layer":0}],"base":9,"result_base":9,"text":"(↯⪼⋋%⋟7430)⩵∡⋋%⋟1785⫸⇳⋋%⋟4685=⋋%⋟-64","reverse_text":"⋋%⋟-64=(↯⪼⋋%⋟7430)⩵∡⋋%⋟1785⫸⇳⋋%⋟4685","cot":[{"info":"↯⪼⋋%⋟7430=⋋%⋟-23","layer":1},{"info":"⋋%⋟1785⫸⇳⋋%⋟4685=⋋%⋟0","layer":1},{"info":"⋋%⋟-23⩵∡⋋%⋟0=⋋%⋟-64","layer":0}]}
+{"id":33,"expression_no_base_symbol":"(↔$2480$)⩣⫁∢(↥$4332$)","expression":"(↔⋋%⋟3355)⩣⫁∢(↥⋋%⋟5843)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":112,"operation_count":3,"complexity_ratio":37.333333333333336,"tree":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":2480,"base":9}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":4332,"base":9}}},"used_operators":["JDUIKTTSIa","ruOEQAzv1W","A8NUZmVepG"],"dependent_operators":["sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","k8jYdgA6NY"],"result":"⋋%⋟13786","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2480","layer":2},{"info":"compute unary expreesion, input=2480, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-2207","layer":1},{"info":"number node, value=4332","layer":2},{"info":"compute unary expreesion, input=4332, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=48","layer":1},{"info":"compute binary expreesion, left_input=-2207, right_input=48, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=9393","layer":0}],"base":9,"result_base":9,"text":"(↔⋋%⋟3355)⩣⫁∢(↥⋋%⋟5843)=⋋%⋟13786","reverse_text":"⋋%⋟13786=(↔⋋%⋟3355)⩣⫁∢(↥⋋%⋟5843)","cot":[{"info":"↔⋋%⋟3355=⋋%⋟-3022","layer":1},{"info":"↥⋋%⋟5843=⋋%⋟53","layer":1},{"info":"⋋%⋟-3022⩣⫁∢⋋%⋟53=⋋%⋟13786","layer":0}]}
+{"id":34,"expression_no_base_symbol":"∜⨇(⇉-⫰$1532$)","expression":"∜⨇(⇉-⫰⋋%⋟2082)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":162,"operation_count":2,"complexity_ratio":81.0,"tree":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"numeric_atoms","value":1532,"base":9}}},"used_operators":["uFPyJr306J","IGFM8TAlm9"],"dependent_operators":["fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","eH2TOUuTDT","eewbuw0ToL"],"result":"⋋%⋟0","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1532","layer":2},{"info":"compute unary expreesion, input=1532, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":1},{"info":"compute unary expreesion, input=20, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=0","layer":0}],"base":9,"result_base":9,"text":"∜⨇(⇉-⫰⋋%⋟2082)=⋋%⋟0","reverse_text":"⋋%⋟0=∜⨇(⇉-⫰⋋%⋟2082)","cot":[{"info":"⇉-⫰⋋%⋟2082=⋋%⋟22","layer":1},{"info":"∜⨇⋋%⋟22=⋋%⋟0","layer":0}]}
+{"id":35,"expression_no_base_symbol":"($3323$⫔⩽⩺$1196$)⊔$6618$⪝$1014$","expression":"(⋋%⋟4502⫔⩽⩺⋋%⋟1568)⊔⋋%⋟10063⪝⋋%⋟1346","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":470,"operation_count":3,"complexity_ratio":156.66666666666666,"tree":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":3323,"base":9},"right_expr":{"type":"numeric_atoms","value":1196,"base":9}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":6618,"base":9},"right_expr":{"type":"numeric_atoms","value":1014,"base":9}}},"used_operators":["E4l6HwMY31","i9eR4S00cU","wicAB68Tmb"],"dependent_operators":["W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","Tw270M8GLb","fu6greOZ01","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3323","layer":2},{"info":"number node, value=1196","layer":2},{"info":"compute binary expreesion, left_input=3323, right_input=1196, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":1},{"info":"number node, value=6618","layer":2},{"info":"number node, value=1014","layer":2},{"info":"compute binary expreesion, left_input=6618, right_input=1014, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-22815","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-22815, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟4502⫔⩽⩺⋋%⋟1568)⊔⋋%⋟10063⪝⋋%⋟1346=NaN","reverse_text":"NaN=(⋋%⋟4502⫔⩽⩺⋋%⋟1568)⊔⋋%⋟10063⪝⋋%⋟1346","cot":[{"info":"⋋%⋟4502⫔⩽⩺⋋%⋟1568=NaN","layer":1},{"info":"⋋%⋟10063⪝⋋%⋟1346=⋋%⋟-34260","layer":1},{"info":"NaN⊔⋋%⋟-34260=NaN","layer":0}]}
+{"id":36,"expression_no_base_symbol":"(↨$4244$)⫰⋱(↪⫪⫘$2110$)","expression":"(↨⋋%⋟5735)⫰⋱(↪⫪⫘⋋%⋟2804)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":287,"operation_count":3,"complexity_ratio":95.66666666666667,"tree":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"numeric_atoms","value":4244,"base":9}},"right_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"numeric_atoms","value":2110,"base":9}}},"used_operators":["6o9Blt3TJ6","jiX4gk2v2Q","9dWsAM3GFt"],"dependent_operators":["W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","rGHVDoGpnC","oZj3VtZNQx","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=4244","layer":2},{"info":"compute unary expreesion, input=4244, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":1},{"info":"number node, value=2110","layer":2},{"info":"compute unary expreesion, input=2110, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=20, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(↨⋋%⋟5735)⫰⋱(↪⫪⫘⋋%⋟2804)=NaN","reverse_text":"NaN=(↨⋋%⋟5735)⫰⋱(↪⫪⫘⋋%⋟2804)","cot":[{"info":"↨⋋%⋟5735=NaN","layer":1},{"info":"↪⫪⫘⋋%⋟2804=⋋%⋟22","layer":1},{"info":"NaN⫰⋱⋋%⋟22=NaN","layer":0}]}
+{"id":37,"expression_no_base_symbol":"(⫟$8948$)⫸⊐($1651$∟)","expression":"(⫟⋋%⋟13242)⫸⊐(⋋%⋟2234∟)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":96,"operation_count":3,"complexity_ratio":32.0,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"numeric_atoms","value":8948,"base":9}},"right_expr":{"type":"unary","operator":"∟","unary_expr":{"type":"numeric_atoms","value":1651,"base":9}}},"used_operators":["mqXw5SEYmG","z4E1FaHLuy","hTbEZDJLEm"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","KPf6cnQVty","zVYPLywUTj","AFVx7xoS7T"],"result":"⋋%⋟1285","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=8948","layer":2},{"info":"compute unary expreesion, input=8948, 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=-25937","layer":1},{"info":"number node, value=1651","layer":2},{"info":"compute unary expreesion, input=1651, op_id = hTbEZDJLEm, unary_op_definition = 'a∟ = { ((58∺≝⩲a)⇌⫙⪟(a⊪)) }', output=113","layer":1},{"info":"compute binary expreesion, left_input=-25937, right_input=113, 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":0}],"base":9,"result_base":9,"text":"(⫟⋋%⋟13242)⫸⊐(⋋%⋟2234∟)=⋋%⋟1285","reverse_text":"⋋%⋟1285=(⫟⋋%⋟13242)⫸⊐(⋋%⋟2234∟)","cot":[{"info":"⫟⋋%⋟13242=⋋%⋟-38518","layer":1},{"info":"⋋%⋟2234∟=⋋%⋟135","layer":1},{"info":"⋋%⋟-38518⫸⊐⋋%⋟135=⋋%⋟1285","layer":0}]}
+{"id":38,"expression_no_base_symbol":"($6349$↑)⩟","expression":"(⋋%⋟8634↑)⩟","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":22,"operation_count":2,"complexity_ratio":11.0,"tree":{"type":"unary","operator":"⩟","unary_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"numeric_atoms","value":6349,"base":9}}},"used_operators":["fOIeswaMU4","BThhyOhh10"],"dependent_operators":["W4YGzv6Whe","Qy55tPpLXF","8w2t5hMYqp","12rbrZMWeM","i8ToyICDmI","3EYGwJThht","xNBdhnnwKq"],"result":"⋋%⋟-1046","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=6349","layer":2},{"info":"compute unary expreesion, input=6349, op_id = BThhyOhh10, unary_op_definition = 'a↑ = { ((a∲⫓a)⇄(262⊭∹↮)) }', output=222","layer":1},{"info":"compute unary expreesion, input=222, op_id = fOIeswaMU4, unary_op_definition = 'a⩟ = { (⊄⩳↩((a⋳⪒a)+(155⋥≓≎a))) }', output=-771","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟8634↑)⩟=⋋%⋟-1046","reverse_text":"⋋%⋟-1046=(⋋%⋟8634↑)⩟","cot":[{"info":"⋋%⋟8634↑=⋋%⋟266","layer":1},{"info":"⋋%⋟266⩟=⋋%⋟-1046","layer":0}]}
+{"id":39,"expression_no_base_symbol":"($4469$⫽⇹≛)⋓$3495$⪒⊣⊆$5153$","expression":"(⋋%⋟6115⫽⇹≛)⋓⋋%⋟4713⪒⊣⊆⋋%⋟7055","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":40,"operation_count":3,"complexity_ratio":13.333333333333334,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⫽⇹≛","unary_expr":{"type":"numeric_atoms","value":4469,"base":9}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":3495,"base":9},"right_expr":{"type":"numeric_atoms","value":5153,"base":9}}},"used_operators":["T2fj7uvVaJ","NNaDxxp6OQ","eRqsBgTDFp"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","KbjG8mgYpV","AdZkA7nFnk","IWmyXbctLI","sdazOOVcIp","W4YGzv6Whe"],"result":"⋋%⋟0","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=4469","layer":2},{"info":"compute unary expreesion, input=4469, op_id = NNaDxxp6OQ, unary_op_definition = 'a⫽⇹≛ = { ((113⋅⇍170)⪮%⊝(a∠↢a)) }', output=272","layer":1},{"info":"number node, value=3495","layer":2},{"info":"number node, value=5153","layer":2},{"info":"compute binary expreesion, left_input=3495, right_input=5153, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=6990","layer":1},{"info":"compute binary expreesion, left_input=272, right_input=6990, 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":9,"result_base":9,"text":"(⋋%⋟6115⫽⇹≛)⋓⋋%⋟4713⪒⊣⊆⋋%⋟7055=⋋%⋟0","reverse_text":"⋋%⋟0=(⋋%⋟6115⫽⇹≛)⋓⋋%⋟4713⪒⊣⊆⋋%⋟7055","cot":[{"info":"⋋%⋟6115⫽⇹≛=⋋%⋟332","layer":1},{"info":"⋋%⋟4713⪒⊣⊆⋋%⋟7055=⋋%⋟10526","layer":1},{"info":"⋋%⋟332⋓⋋%⋟10526=⋋%⋟0","layer":0}]}
+{"id":40,"expression_no_base_symbol":"($7373$≓∲$2739$)⨂≜($1440$⊍⩺⋍$3727$)","expression":"(⋋%⋟11102≓∲⋋%⋟3673)⨂≜(⋋%⋟1870⊍⩺⋍⋋%⋟5101)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":74803,"operation_count":3,"complexity_ratio":24934.333333333332,"tree":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":7373,"base":9},"right_expr":{"type":"numeric_atoms","value":2739,"base":9}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":1440,"base":9},"right_expr":{"type":"numeric_atoms","value":3727,"base":9}}},"used_operators":["k1SHOSEABc","s1XTVnmDOJ","OXDGMFPWZM"],"dependent_operators":["9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=7373","layer":2},{"info":"number node, value=2739","layer":2},{"info":"compute binary expreesion, left_input=7373, right_input=2739, 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=74513","layer":1},{"info":"number node, value=1440","layer":2},{"info":"number node, value=3727","layer":2},{"info":"compute binary expreesion, left_input=1440, right_input=3727, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=74513, right_input=nan, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟11102≓∲⋋%⋟3673)⨂≜(⋋%⋟1870⊍⩺⋍⋋%⋟5101)=NaN","reverse_text":"NaN=(⋋%⋟11102≓∲⋋%⋟3673)⨂≜(⋋%⋟1870⊍⩺⋍⋋%⋟5101)","cot":[{"info":"⋋%⋟11102≓∲⋋%⋟3673=⋋%⋟123182","layer":1},{"info":"⋋%⋟1870⊍⩺⋍⋋%⋟5101=NaN","layer":1},{"info":"⋋%⋟123182⨂≜NaN=NaN","layer":0}]}
+{"id":41,"expression_no_base_symbol":"$4700$⪃⊛⇣$4144$⇋≉","expression":"⋋%⋟6402⪃⊛⇣⋋%⋟5614⇋≉","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":575,"operation_count":2,"complexity_ratio":287.5,"tree":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":4700,"base":9},"right_expr":{"type":"numeric_atoms","value":4144,"base":9}}},"used_operators":["XIabStNQrY","rrgAzCduG9"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA"],"result":"⋋%⋟3223","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=4700","layer":2},{"info":"number node, value=4144","layer":2},{"info":"compute binary expreesion, left_input=4700, right_input=4144, 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 = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=2370","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟6402⪃⊛⇣⋋%⋟5614⇋≉=⋋%⋟3223","reverse_text":"⋋%⋟3223=⋋%⋟6402⪃⊛⇣⋋%⋟5614⇋≉","cot":[{"info":"⋋%⋟6402⪃⊛⇣⋋%⋟5614=⋋%⋟1621","layer":1},{"info":"⋋%⋟1621⇋≉=⋋%⋟3223","layer":0}]}
+{"id":42,"expression_no_base_symbol":"($1820$⇮⋭$2228$)↞⋁(⊙↵-$1172$)","expression":"(⋋%⋟2442⇮⋭⋋%⋟3045)↞⋁(⊙↵-⋋%⋟1542)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1439,"operation_count":3,"complexity_ratio":479.6666666666667,"tree":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":1820,"base":9},"right_expr":{"type":"numeric_atoms","value":2228,"base":9}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1172,"base":9}}},"used_operators":["RqrPlJkxDo","vkpjKywKVM","oWn0xqSxBt"],"dependent_operators":["Uaa54Peajs","CArV6hThFE","13rbtpv6ld","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1820","layer":2},{"info":"number node, value=2228","layer":2},{"info":"compute binary expreesion, left_input=1820, right_input=2228, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":1},{"info":"number node, value=1172","layer":2},{"info":"compute unary expreesion, input=1172, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":1},{"info":"compute binary expreesion, left_input=-473, right_input=-1, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟2442⇮⋭⋋%⋟3045)↞⋁(⊙↵-⋋%⋟1542)=NaN","reverse_text":"NaN=(⋋%⋟2442⇮⋭⋋%⋟3045)↞⋁(⊙↵-⋋%⋟1542)","cot":[{"info":"⋋%⋟2442⇮⋭⋋%⋟3045=⋋%⋟-575","layer":1},{"info":"⊙↵-⋋%⋟1542=⋋%⋟-1","layer":1},{"info":"⋋%⋟-575↞⋁⋋%⋟-1=NaN","layer":0}]}
+{"id":43,"expression_no_base_symbol":"(⨈⫕$1232$)⩘$4995$⊉↱≁$1202$","expression":"(⨈⫕⋋%⋟1618)⩘⋋%⋟6760⊉↱≁⋋%⋟1575","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":512,"operation_count":3,"complexity_ratio":170.66666666666666,"tree":{"type":"binary","operator":"⩘","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1232,"base":9}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":4995,"base":9},"right_expr":{"type":"numeric_atoms","value":1202,"base":9}}},"used_operators":["cHh1gJQ2o6","megm06wKyl","w2P8NbNXyL"],"dependent_operators":["23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL"],"result":"⋋%⋟187","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1232","layer":2},{"info":"compute unary expreesion, input=1232, 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=4995","layer":2},{"info":"number node, value=1202","layer":2},{"info":"compute binary expreesion, left_input=4995, right_input=1202, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=42686","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=42686, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":0}],"base":9,"result_base":9,"text":"(⨈⫕⋋%⋟1618)⩘⋋%⋟6760⊉↱≁⋋%⋟1575=⋋%⋟187","reverse_text":"⋋%⋟187=(⨈⫕⋋%⋟1618)⩘⋋%⋟6760⊉↱≁⋋%⋟1575","cot":[{"info":"⨈⫕⋋%⋟1618=⋋%⋟-23","layer":1},{"info":"⋋%⋟6760⊉↱≁⋋%⋟1575=⋋%⋟64488","layer":1},{"info":"⋋%⋟-23⩘⋋%⋟64488=⋋%⋟187","layer":0}]}
+{"id":44,"expression_no_base_symbol":"(∑⇻≧$2895$)∘$3669$⋥⋵⩄$2252$","expression":"(∑⇻≧⋋%⋟3866)∘⋋%⋟5026⋥⋵⩄⋋%⋟3072","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":28,"operation_count":3,"complexity_ratio":9.333333333333334,"tree":{"type":"binary","operator":"∘","left_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"numeric_atoms","value":2895,"base":9}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":3669,"base":9},"right_expr":{"type":"numeric_atoms","value":2252,"base":9}}},"used_operators":["Z5m6OM72h2","l1M9WJ3V7u","7t3wd0Fuz7"],"dependent_operators":["eH2TOUuTDT","rysDP5nf3Z","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T"],"result":"⋋%⋟1618","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2895","layer":2},{"info":"compute unary expreesion, input=2895, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":1},{"info":"number node, value=3669","layer":2},{"info":"number node, value=2252","layer":2},{"info":"compute binary expreesion, left_input=3669, right_input=2252, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":1},{"info":"compute binary expreesion, left_input=-852, right_input=113, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=1232","layer":0}],"base":9,"result_base":9,"text":"(∑⇻≧⋋%⋟3866)∘⋋%⋟5026⋥⋵⩄⋋%⋟3072=⋋%⋟1618","reverse_text":"⋋%⋟1618=(∑⇻≧⋋%⋟3866)∘⋋%⋟5026⋥⋵⩄⋋%⋟3072","cot":[{"info":"∑⇻≧⋋%⋟3866=⋋%⋟-1146","layer":1},{"info":"⋋%⋟5026⋥⋵⩄⋋%⋟3072=⋋%⋟135","layer":1},{"info":"⋋%⋟-1146∘⋋%⋟135=⋋%⋟1618","layer":0}]}
+{"id":45,"expression_no_base_symbol":"$1488$⪃⊛⇣$1509$*(⨭⩧⫛$2611$)","expression":"⋋%⋟2033⪃⊛⇣⋋%⋟2056*(⨭⩧⫛⋋%⋟3521)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":628,"operation_count":3,"complexity_ratio":209.33333333333334,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":1488,"base":9},"right_expr":{"type":"numeric_atoms","value":1509,"base":9}},"right_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"numeric_atoms","value":2611,"base":9}}},"used_operators":["9HNa5Wba9A","rrgAzCduG9","g21JL6JxX7"],"dependent_operators":["W4YGzv6Whe","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1488","layer":2},{"info":"number node, value=1509","layer":2},{"info":"compute binary expreesion, left_input=1488, right_input=1509, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":1},{"info":"number node, value=2611","layer":2},{"info":"compute unary expreesion, input=2611, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟2033⪃⊛⇣⋋%⋟2056*(⨭⩧⫛⋋%⋟3521)=NaN","reverse_text":"NaN=⋋%⋟2033⪃⊛⇣⋋%⋟2056*(⨭⩧⫛⋋%⋟3521)","cot":[{"info":"⋋%⋟2033⪃⊛⇣⋋%⋟2056=⋋%⋟1621","layer":1},{"info":"⨭⩧⫛⋋%⋟3521=NaN","layer":1},{"info":"⋋%⋟1621*NaN=NaN","layer":0}]}
+{"id":46,"expression_no_base_symbol":"↨⩢⫨($2072$⫍⨯↯)","expression":"↨⩢⫨(⋋%⋟2752⫍⨯↯)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":77,"operation_count":2,"complexity_ratio":38.5,"tree":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"unary","operator":"⫍⨯↯","unary_expr":{"type":"numeric_atoms","value":2072,"base":9}}},"used_operators":["Z5CJsN7DuW","ZcwmYACASQ"],"dependent_operators":["Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","23Mk6UjR3U","2DDjHMKMc0","Qy55tPpLXF"],"result":"⋋%⋟0","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=2072","layer":2},{"info":"compute unary expreesion, input=2072, op_id = ZcwmYACASQ, unary_op_definition = 'a⫍⨯↯ = { ((a⋥≓≎a)⋷(a⋝⋈⪟337)) }', output=2039","layer":1},{"info":"compute unary expreesion, input=2039, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":0}],"base":9,"result_base":9,"text":"↨⩢⫨(⋋%⋟2752⫍⨯↯)=⋋%⋟0","reverse_text":"⋋%⋟0=↨⩢⫨(⋋%⋟2752⫍⨯↯)","cot":[{"info":"⋋%⋟2752⫍⨯↯=⋋%⋟2715","layer":1},{"info":"↨⩢⫨⋋%⋟2715=⋋%⋟0","layer":0}]}
+{"id":47,"expression_no_base_symbol":"↞≼($1051$⫢⨠$3429$)","expression":"↞≼(⋋%⋟1387⫢⨠⋋%⋟4630)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":76,"operation_count":2,"complexity_ratio":38.0,"tree":{"type":"unary","operator":"↞≼","unary_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":1051,"base":9},"right_expr":{"type":"numeric_atoms","value":3429,"base":9}}},"used_operators":["DE7zCoGJt9","xlXykHWxX1"],"dependent_operators":["W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx"],"result":"⋋%⋟1162","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1051","layer":2},{"info":"number node, value=3429","layer":2},{"info":"compute binary expreesion, left_input=1051, right_input=3429, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":1},{"info":"compute unary expreesion, input=160, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=866","layer":0}],"base":9,"result_base":9,"text":"↞≼(⋋%⋟1387⫢⨠⋋%⋟4630)=⋋%⋟1162","reverse_text":"⋋%⋟1162=↞≼(⋋%⋟1387⫢⨠⋋%⋟4630)","cot":[{"info":"⋋%⋟1387⫢⨠⋋%⋟4630=⋋%⋟187","layer":1},{"info":"↞≼⋋%⋟187=⋋%⋟1162","layer":0}]}
+{"id":48,"expression_no_base_symbol":"($1342$⫸⇳$1405$)≁↽≥($2200$⊋$1452$)","expression":"(⋋%⋟1751⫸⇳⋋%⋟1831)≁↽≥(⋋%⋟3014⊋⋋%⋟1883)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1635,"operation_count":3,"complexity_ratio":545.0,"tree":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":1342,"base":9},"right_expr":{"type":"numeric_atoms","value":1405,"base":9}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":2200,"base":9},"right_expr":{"type":"numeric_atoms","value":1452,"base":9}}},"used_operators":["ncHt1X6cMc","gx7XJ7hdpj","W4tP9CfskL"],"dependent_operators":["oWn0xqSxBt","3Oe9XWJUTD","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu"],"result":"⋋%⋟14555","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1342","layer":2},{"info":"number node, value=1405","layer":2},{"info":"compute binary expreesion, left_input=1342, right_input=1405, 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=2200","layer":2},{"info":"number node, value=1452","layer":2},{"info":"compute binary expreesion, left_input=2200, right_input=1452, 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=8634964","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=8634964, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=9932","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟1751⫸⇳⋋%⋟1831)≁↽≥(⋋%⋟3014⊋⋋%⋟1883)=⋋%⋟14555","reverse_text":"⋋%⋟14555=(⋋%⋟1751⫸⇳⋋%⋟1831)≁↽≥(⋋%⋟3014⊋⋋%⋟1883)","cot":[{"info":"⋋%⋟1751⫸⇳⋋%⋟1831=⋋%⋟0","layer":1},{"info":"⋋%⋟3014⊋⋋%⋟1883=⋋%⋟17220844","layer":1},{"info":"⋋%⋟0≁↽≥⋋%⋟17220844=⋋%⋟14555","layer":0}]}
+{"id":49,"expression_no_base_symbol":"($3226$⩷∴$2631$)⪢$3645$⨜⨶$2279$","expression":"(⋋%⋟4374⩷∴⋋%⋟3543)⪢⋋%⋟5000⨜⨶⋋%⋟3112","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4333,"operation_count":3,"complexity_ratio":1444.3333333333333,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":3226,"base":9},"right_expr":{"type":"numeric_atoms","value":2631,"base":9}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":3645,"base":9},"right_expr":{"type":"numeric_atoms","value":2279,"base":9}}},"used_operators":["dWAJyo7jo9","9FxExcQeMw","HiPekx5b7W"],"dependent_operators":["k8jYdgA6NY","rysDP5nf3Z","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3226","layer":2},{"info":"number node, value=2631","layer":2},{"info":"compute binary expreesion, left_input=3226, right_input=2631, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=1158","layer":1},{"info":"number node, value=3645","layer":2},{"info":"number node, value=2279","layer":2},{"info":"compute binary expreesion, left_input=3645, right_input=2279, 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=-4302","layer":1},{"info":"compute binary expreesion, left_input=1158, right_input=-4302, 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":9,"result_base":9,"text":"(⋋%⋟4374⩷∴⋋%⋟3543)⪢⋋%⋟5000⨜⨶⋋%⋟3112=NaN","reverse_text":"NaN=(⋋%⋟4374⩷∴⋋%⋟3543)⪢⋋%⋟5000⨜⨶⋋%⋟3112","cot":[{"info":"⋋%⋟4374⩷∴⋋%⋟3543=⋋%⋟1526","layer":1},{"info":"⋋%⋟5000⨜⨶⋋%⋟3112=⋋%⋟-5810","layer":1},{"info":"⋋%⋟1526⪢⋋%⋟-5810=NaN","layer":0}]}
+{"id":50,"expression_no_base_symbol":"↡(⫡⇟⇯$1564$)","expression":"↡(⫡⇟⇯⋋%⋟2127)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":25,"operation_count":2,"complexity_ratio":12.5,"tree":{"type":"unary","operator":"↡","unary_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"numeric_atoms","value":1564,"base":9}}},"used_operators":["MXaNJeIAZ3","qWUSsah53b"],"dependent_operators":["DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","DZ8iAZOCBD","P8v4zCKN1o"],"result":"⋋%⋟54300","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1564","layer":2},{"info":"compute unary expreesion, input=1564, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=3996","layer":1},{"info":"compute unary expreesion, input=3996, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=35964","layer":0}],"base":9,"result_base":9,"text":"↡(⫡⇟⇯⋋%⋟2127)=⋋%⋟54300","reverse_text":"⋋%⋟54300=↡(⫡⇟⇯⋋%⋟2127)","cot":[{"info":"⫡⇟⇯⋋%⋟2127=⋋%⋟5430","layer":1},{"info":"↡⋋%⋟5430=⋋%⋟54300","layer":0}]}
+{"id":51,"expression_no_base_symbol":"($2987$⩢≌)⊕∕($4064$⪄$1863$)","expression":"(⋋%⋟4078⩢≌)⊕∕(⋋%⋟5515⪄⋋%⋟2500)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":328,"operation_count":3,"complexity_ratio":109.33333333333333,"tree":{"type":"binary","operator":"⊕∕","left_expr":{"type":"unary","operator":"⩢≌","unary_expr":{"type":"numeric_atoms","value":2987,"base":9}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":4064,"base":9},"right_expr":{"type":"numeric_atoms","value":1863,"base":9}}},"used_operators":["9cloC0Ngie","D617RFjZIq","SUmda5xLS4"],"dependent_operators":["Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","hTbEZDJLEm","o20kRiQErp","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"⋋%⋟135","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2987","layer":2},{"info":"compute unary expreesion, input=2987, op_id = D617RFjZIq, unary_op_definition = 'a⩢≌ = { ((a∸)∟) }', output=113","layer":1},{"info":"number node, value=4064","layer":2},{"info":"number node, value=1863","layer":2},{"info":"compute binary expreesion, left_input=4064, right_input=1863, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-605013","layer":1},{"info":"compute binary expreesion, left_input=113, right_input=-605013, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=113","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟4078⩢≌)⊕∕(⋋%⋟5515⪄⋋%⋟2500)=⋋%⋟135","reverse_text":"⋋%⋟135=(⋋%⋟4078⩢≌)⊕∕(⋋%⋟5515⪄⋋%⋟2500)","cot":[{"info":"⋋%⋟4078⩢≌=⋋%⋟135","layer":1},{"info":"⋋%⋟5515⪄⋋%⋟2500=⋋%⋟-1121826","layer":1},{"info":"⋋%⋟135⊕∕⋋%⋟-1121826=⋋%⋟135","layer":0}]}
+{"id":52,"expression_no_base_symbol":"⨡↴$1837$∑⇟⊟$1862$","expression":"⨡↴⋋%⋟2461∑⇟⊟⋋%⋟2488","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5,"operation_count":2,"complexity_ratio":2.5,"tree":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1837,"base":9},"right_expr":{"type":"numeric_atoms","value":1862,"base":9}}},"used_operators":["liw5iZPkLH","U7g4x0WXJJ"],"dependent_operators":["W4YGzv6Whe","P8v4zCKN1o","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1837","layer":2},{"info":"number node, value=1862","layer":2},{"info":"compute binary expreesion, left_input=1837, right_input=1862, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"⨡↴⋋%⋟2461∑⇟⊟⋋%⋟2488=NaN","reverse_text":"NaN=⨡↴⋋%⋟2461∑⇟⊟⋋%⋟2488","cot":[{"info":"⋋%⋟2461∑⇟⊟⋋%⋟2488=NaN","layer":1},{"info":"⨡↴NaN=NaN","layer":0}]}
+{"id":53,"expression_no_base_symbol":"$2508$∥⊢⊲$2905$⨰$1298$⊬⨰$1816$","expression":"⋋%⋟3386∥⊢⊲⋋%⋟3877⨰⋋%⋟1702⊬⨰⋋%⋟2437","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":23,"operation_count":3,"complexity_ratio":7.666666666666667,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":2508,"base":9},"right_expr":{"type":"numeric_atoms","value":2905,"base":9}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":1298,"base":9},"right_expr":{"type":"numeric_atoms","value":1816,"base":9}}},"used_operators":["eewbuw0ToL","v1UQAVDJRr","s3Fd5m9Dh2"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","EBcxylXtPf","rGHVDoGpnC","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2508","layer":2},{"info":"number node, value=2905","layer":2},{"info":"compute binary expreesion, left_input=2508, right_input=2905, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":1},{"info":"number node, value=1298","layer":2},{"info":"number node, value=1816","layer":2},{"info":"compute binary expreesion, left_input=1298, right_input=1816, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=7506","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=7506, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟3386∥⊢⊲⋋%⋟3877⨰⋋%⋟1702⊬⨰⋋%⋟2437=NaN","reverse_text":"NaN=⋋%⋟3386∥⊢⊲⋋%⋟3877⨰⋋%⋟1702⊬⨰⋋%⋟2437","cot":[{"info":"⋋%⋟3386∥⊢⊲⋋%⋟3877=NaN","layer":1},{"info":"⋋%⋟1702⊬⨰⋋%⋟2437=⋋%⋟11260","layer":1},{"info":"NaN⨰⋋%⋟11260=NaN","layer":0}]}
+{"id":54,"expression_no_base_symbol":"$1033$⩍⋽⫝̸$5011$⨵⪆$2392$⋝⋈⪟$3713$","expression":"⋋%⋟1367⩍⋽⫝̸⋋%⋟6777⨵⪆⋋%⋟3247⋝⋈⪟⋋%⋟5075","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8,"operation_count":3,"complexity_ratio":2.6666666666666665,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":1033,"base":9},"right_expr":{"type":"numeric_atoms","value":5011,"base":9}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2392,"base":9},"right_expr":{"type":"numeric_atoms","value":3713,"base":9}}},"used_operators":["2DQ55sFlQl","BiWNJpBvwn","2DDjHMKMc0"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","Ph9nP6C5qx","xUOZtlo3hN","W4YGzv6Whe","t8gj7n24qd"],"result":"⋋%⋟187","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1033","layer":2},{"info":"number node, value=5011","layer":2},{"info":"compute binary expreesion, left_input=1033, right_input=5011, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=4065","layer":1},{"info":"number node, value=2392","layer":2},{"info":"number node, value=3713","layer":2},{"info":"compute binary expreesion, left_input=2392, right_input=3713, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2392","layer":1},{"info":"compute binary expreesion, left_input=4065, right_input=2392, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟1367⩍⋽⫝̸⋋%⋟6777⨵⪆⋋%⋟3247⋝⋈⪟⋋%⋟5075=⋋%⋟187","reverse_text":"⋋%⋟187=⋋%⋟1367⩍⋽⫝̸⋋%⋟6777⨵⪆⋋%⋟3247⋝⋈⪟⋋%⋟5075","cot":[{"info":"⋋%⋟1367⩍⋽⫝̸⋋%⋟6777=⋋%⋟5516","layer":1},{"info":"⋋%⋟3247⋝⋈⪟⋋%⋟5075=⋋%⋟3247","layer":1},{"info":"⋋%⋟5516⨵⪆⋋%⋟3247=⋋%⋟187","layer":0}]}
+{"id":55,"expression_no_base_symbol":"⊿$1020$∥⊢⊲$3950$","expression":"⊿⋋%⋟1353∥⊢⊲⋋%⋟5368","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":30,"operation_count":2,"complexity_ratio":15.0,"tree":{"type":"unary","operator":"⊿","unary_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":1020,"base":9},"right_expr":{"type":"numeric_atoms","value":3950,"base":9}}},"used_operators":["DO4fhlbJSI","v1UQAVDJRr"],"dependent_operators":["9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","EBcxylXtPf","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1020","layer":2},{"info":"number node, value=3950","layer":2},{"info":"compute binary expreesion, left_input=1020, right_input=3950, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"⊿⋋%⋟1353∥⊢⊲⋋%⋟5368=NaN","reverse_text":"NaN=⊿⋋%⋟1353∥⊢⊲⋋%⋟5368","cot":[{"info":"⋋%⋟1353∥⊢⊲⋋%⋟5368=NaN","layer":1},{"info":"⊿NaN=NaN","layer":0}]}
+{"id":56,"expression_no_base_symbol":"$4606$⊨$1275$∕⩚($1208$↫)","expression":"⋋%⋟6277⊨⋋%⋟1666∕⩚(⋋%⋟1582↫)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":28,"operation_count":3,"complexity_ratio":9.333333333333334,"tree":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":4606,"base":9},"right_expr":{"type":"numeric_atoms","value":1275,"base":9}},"right_expr":{"type":"unary","operator":"↫","unary_expr":{"type":"numeric_atoms","value":1208,"base":9}}},"used_operators":["z9ffQ9n5Zr","vg4gO5BX6G","uPb5QRN0te"],"dependent_operators":["3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","i8ToyICDmI","2DQ55sFlQl","t8gj7n24qd"],"result":"⋋%⋟-601","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=4606","layer":2},{"info":"number node, value=1275","layer":2},{"info":"compute binary expreesion, left_input=4606, right_input=1275, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=19455","layer":1},{"info":"number node, value=1208","layer":2},{"info":"compute unary expreesion, input=1208, 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=19455, right_input=160, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟6277⊨⋋%⋟1666∕⩚(⋋%⋟1582↫)=⋋%⋟-601","reverse_text":"⋋%⋟-601=⋋%⋟6277⊨⋋%⋟1666∕⩚(⋋%⋟1582↫)","cot":[{"info":"⋋%⋟6277⊨⋋%⋟1666=⋋%⋟28616","layer":1},{"info":"⋋%⋟1582↫=⋋%⋟187","layer":1},{"info":"⋋%⋟28616∕⩚⋋%⋟187=⋋%⋟-601","layer":0}]}
+{"id":57,"expression_no_base_symbol":"($6682$≚⋢)⇄$1579$⇍⊗$3706$","expression":"(⋋%⋟10144≚⋢)⇄⋋%⋟2144⇍⊗⋋%⋟5067","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":138,"operation_count":3,"complexity_ratio":46.0,"tree":{"type":"binary","operator":"⇄","left_expr":{"type":"unary","operator":"≚⋢","unary_expr":{"type":"numeric_atoms","value":6682,"base":9}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":1579,"base":9},"right_expr":{"type":"numeric_atoms","value":3706,"base":9}}},"used_operators":["3EYGwJThht","MahUMFw56D","5uvYHDjeKN"],"dependent_operators":["eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","3ViojmjbAp","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o"],"result":"⋋%⋟888","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=6682","layer":2},{"info":"compute unary expreesion, input=6682, op_id = MahUMFw56D, unary_op_definition = 'a≚⋢ = { (a⨓86) }', output=-89","layer":1},{"info":"number node, value=1579","layer":2},{"info":"number node, value=3706","layer":2},{"info":"compute binary expreesion, left_input=1579, right_input=3706, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":1},{"info":"compute binary expreesion, left_input=-89, right_input=-244, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=728","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟10144≚⋢)⇄⋋%⋟2144⇍⊗⋋%⋟5067=⋋%⋟888","reverse_text":"⋋%⋟888=(⋋%⋟10144≚⋢)⇄⋋%⋟2144⇍⊗⋋%⋟5067","cot":[{"info":"⋋%⋟10144≚⋢=⋋%⋟-108","layer":1},{"info":"⋋%⋟2144⇍⊗⋋%⋟5067=⋋%⋟-301","layer":1},{"info":"⋋%⋟-108⇄⋋%⋟-301=⋋%⋟888","layer":0}]}
+{"id":58,"expression_no_base_symbol":"($5698$⫃⨇$4176$)∇⊂⋱($1640$↙$2042$)","expression":"(⋋%⋟7731⫃⨇⋋%⋟5650)∇⊂⋱(⋋%⋟2222↙⋋%⋟2718)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2060,"operation_count":3,"complexity_ratio":686.6666666666666,"tree":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":5698,"base":9},"right_expr":{"type":"numeric_atoms","value":4176,"base":9}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1640,"base":9},"right_expr":{"type":"numeric_atoms","value":2042,"base":9}}},"used_operators":["nhYeJWJD5X","09Ly4LVMIf","yyfyN0ffXY"],"dependent_operators":["P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","tmPS8pqC7x","DpFCA1CohY"],"result":"⋋%⋟17723","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=5698","layer":2},{"info":"number node, value=4176","layer":2},{"info":"compute binary expreesion, left_input=5698, right_input=4176, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-16736","layer":1},{"info":"number node, value=1640","layer":2},{"info":"number node, value=2042","layer":2},{"info":"compute binary expreesion, left_input=1640, right_input=2042, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-6126","layer":1},{"info":"compute binary expreesion, left_input=-16736, right_input=-6126, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=12252","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟7731⫃⨇⋋%⋟5650)∇⊂⋱(⋋%⋟2222↙⋋%⋟2718)=⋋%⋟17723","reverse_text":"⋋%⋟17723=(⋋%⋟7731⫃⨇⋋%⋟5650)∇⊂⋱(⋋%⋟2222↙⋋%⋟2718)","cot":[{"info":"⋋%⋟7731⫃⨇⋋%⋟5650=⋋%⋟-24855","layer":1},{"info":"⋋%⋟2222↙⋋%⋟2718=⋋%⋟-8356","layer":1},{"info":"⋋%⋟-24855∇⊂⋱⋋%⋟-8356=⋋%⋟17723","layer":0}]}
+{"id":59,"expression_no_base_symbol":"(⩷⨜⫀$2254$)⊋($3245$*$2007$)","expression":"(⩷⨜⫀⋋%⋟3074)⊋(⋋%⋟4405*⋋%⋟2670)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":13031357,"operation_count":3,"complexity_ratio":4343785.666666667,"tree":{"type":"binary","operator":"⊋","left_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"numeric_atoms","value":2254,"base":9}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3245,"base":9},"right_expr":{"type":"numeric_atoms","value":2007,"base":9}}},"used_operators":["W4tP9CfskL","CDi0ktkjQ4","9HNa5Wba9A"],"dependent_operators":["2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","ruOEQAzv1W","nhYeJWJD5X","W4YGzv6Whe"],"result":"-Inf","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2254","layer":2},{"info":"compute unary expreesion, input=2254, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-1981","layer":1},{"info":"number node, value=3245","layer":2},{"info":"number node, value=2007","layer":2},{"info":"compute binary expreesion, left_input=3245, right_input=2007, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=6512715","layer":1},{"info":"compute binary expreesion, left_input=-1981, right_input=6512715, 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":0}],"base":9,"result_base":9,"text":"(⩷⨜⫀⋋%⋟3074)⊋(⋋%⋟4405*⋋%⋟2670)=-Inf","reverse_text":"-Inf=(⩷⨜⫀⋋%⋟3074)⊋(⋋%⋟4405*⋋%⋟2670)","cot":[{"info":"⩷⨜⫀⋋%⋟3074=⋋%⋟-2641","layer":1},{"info":"⋋%⋟4405*⋋%⋟2670=⋋%⋟13225680","layer":1},{"info":"⋋%⋟-2641⊋⋋%⋟13225680=-Inf","layer":0}]}
+{"id":60,"expression_no_base_symbol":"$1905$∳⫺$1412$∲⫓$1553$⊴$1155$","expression":"⋋%⋟2546∳⫺⋋%⋟1838∲⫓⋋%⋟2115⊴⋋%⋟1523","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4783,"operation_count":3,"complexity_ratio":1594.3333333333333,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":1905,"base":9},"right_expr":{"type":"numeric_atoms","value":1412,"base":9}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1553,"base":9},"right_expr":{"type":"numeric_atoms","value":1155,"base":9}}},"used_operators":["i8ToyICDmI","AzXXKTstlj","Nsiff2A1zJ"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1905","layer":2},{"info":"number node, value=1412","layer":2},{"info":"compute binary expreesion, left_input=1905, right_input=1412, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":1},{"info":"number node, value=1553","layer":2},{"info":"number node, value=1155","layer":2},{"info":"compute binary expreesion, left_input=1553, right_input=1155, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-260, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟2546∳⫺⋋%⋟1838∲⫓⋋%⋟2115⊴⋋%⋟1523=NaN","reverse_text":"NaN=⋋%⋟2546∳⫺⋋%⋟1838∲⫓⋋%⋟2115⊴⋋%⋟1523","cot":[{"info":"⋋%⋟2546∳⫺⋋%⋟1838=⋋%⋟-318","layer":1},{"info":"⋋%⋟2115⊴⋋%⋟1523=NaN","layer":1},{"info":"⋋%⋟-318∲⫓NaN=NaN","layer":0}]}
+{"id":61,"expression_no_base_symbol":"($2766$⩼⇪↪$4702$)⫿","expression":"(⋋%⋟3713⩼⇪↪⋋%⋟6404)⫿","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":15,"operation_count":2,"complexity_ratio":7.5,"tree":{"type":"unary","operator":"⫿","unary_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":2766,"base":9},"right_expr":{"type":"numeric_atoms","value":4702,"base":9}}},"used_operators":["9tKT6PmtkH","ocnLzx9CaJ"],"dependent_operators":["DpFCA1CohY","9ICcGScMcE","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q"],"result":"⋋%⋟85238","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2766","layer":2},{"info":"number node, value=4702","layer":2},{"info":"compute binary expreesion, left_input=2766, right_input=4702, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-28165","layer":1},{"info":"compute unary expreesion, input=-28165, op_id = 9tKT6PmtkH, unary_op_definition = 'a⫿ = { (≦∁a) , if (⋗⩬⋾a)<1 ; (a⪒a) , else }', output=56330","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟3713⩼⇪↪⋋%⋟6404)⫿=⋋%⋟85238","reverse_text":"⋋%⋟85238=(⋋%⋟3713⩼⇪↪⋋%⋟6404)⫿","cot":[{"info":"⋋%⋟3713⩼⇪↪⋋%⋟6404=⋋%⋟-42564","layer":1},{"info":"⋋%⋟-42564⫿=⋋%⋟85238","layer":0}]}
+{"id":62,"expression_no_base_symbol":"$3045$⪝$2952$⨜⨶($2292$≠≀$1594$)","expression":"⋋%⋟4153⪝⋋%⋟4040⨜⨶(⋋%⋟3126≠≀⋋%⋟2161)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":452,"operation_count":3,"complexity_ratio":150.66666666666666,"tree":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":3045,"base":9},"right_expr":{"type":"numeric_atoms","value":2952,"base":9}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":2292,"base":9},"right_expr":{"type":"numeric_atoms","value":1594,"base":9}}},"used_operators":["HiPekx5b7W","wicAB68Tmb","IwW236VD4Y"],"dependent_operators":["N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC"],"result":"⋋%⋟-30431","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3045","layer":2},{"info":"number node, value=2952","layer":2},{"info":"compute binary expreesion, left_input=3045, right_input=2952, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=485","layer":1},{"info":"number node, value=2292","layer":2},{"info":"number node, value=1594","layer":2},{"info":"compute binary expreesion, left_input=2292, right_input=1594, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-4278","layer":1},{"info":"compute binary expreesion, left_input=485, right_input=-4278, 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=-20035","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟4153⪝⋋%⋟4040⨜⨶(⋋%⋟3126≠≀⋋%⋟2161)=⋋%⋟-30431","reverse_text":"⋋%⋟-30431=⋋%⋟4153⪝⋋%⋟4040⨜⨶(⋋%⋟3126≠≀⋋%⋟2161)","cot":[{"info":"⋋%⋟4153⪝⋋%⋟4040=⋋%⋟588","layer":1},{"info":"⋋%⋟3126≠≀⋋%⋟2161=⋋%⋟-5773","layer":1},{"info":"⋋%⋟588⨜⨶⋋%⋟-5773=⋋%⋟-30431","layer":0}]}
+{"id":63,"expression_no_base_symbol":"($5250$⫩⊇)⊴$2827$⩍⋽⫝̸$1290$","expression":"(⋋%⋟7173⫩⊇)⊴⋋%⋟3781⩍⋽⫝̸⋋%⋟1683","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":822,"operation_count":3,"complexity_ratio":274.0,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":5250,"base":9}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":2827,"base":9},"right_expr":{"type":"numeric_atoms","value":1290,"base":9}}},"used_operators":["Nsiff2A1zJ","BjRHVeLaeN","BiWNJpBvwn"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","Ph9nP6C5qx","xUOZtlo3hN"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=5250","layer":2},{"info":"compute unary expreesion, input=5250, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-5208","layer":1},{"info":"number node, value=2827","layer":2},{"info":"number node, value=1290","layer":2},{"info":"compute binary expreesion, left_input=2827, right_input=1290, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=344","layer":1},{"info":"compute binary expreesion, left_input=-5208, right_input=344, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟7173⫩⊇)⊴⋋%⋟3781⩍⋽⫝̸⋋%⋟1683=NaN","reverse_text":"NaN=(⋋%⋟7173⫩⊇)⊴⋋%⋟3781⩍⋽⫝̸⋋%⋟1683","cot":[{"info":"⋋%⋟7173⫩⊇=⋋%⋟-7126","layer":1},{"info":"⋋%⋟3781⩍⋽⫝̸⋋%⋟1683=⋋%⋟422","layer":1},{"info":"⋋%⋟-7126⊴⋋%⋟422=NaN","layer":0}]}
+{"id":64,"expression_no_base_symbol":"(⋼∭⪍$2546$)≨($1788$⩠)","expression":"(⋼∭⪍⋋%⋟3438)≨(⋋%⋟2406⩠)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":51412,"operation_count":3,"complexity_ratio":17137.333333333332,"tree":{"type":"binary","operator":"≨","left_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"numeric_atoms","value":2546,"base":9}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":1788,"base":9}}},"used_operators":["0KMCeP1Jsh","DbCuESL50I","sJAwomhLZr"],"dependent_operators":["jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C"],"result":"⋋%⋟26053","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2546","layer":2},{"info":"compute unary expreesion, input=2546, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-8444","layer":1},{"info":"number node, value=1788","layer":2},{"info":"compute unary expreesion, input=1788, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-8444, right_input=0, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=17544","layer":0}],"base":9,"result_base":9,"text":"(⋼∭⪍⋋%⋟3438)≨(⋋%⋟2406⩠)=⋋%⋟26053","reverse_text":"⋋%⋟26053=(⋼∭⪍⋋%⋟3438)≨(⋋%⋟2406⩠)","cot":[{"info":"⋼∭⪍⋋%⋟3438=⋋%⋟-12522","layer":1},{"info":"⋋%⋟2406⩠=⋋%⋟0","layer":1},{"info":"⋋%⋟-12522≨⋋%⋟0=⋋%⋟26053","layer":0}]}
+{"id":65,"expression_no_base_symbol":"$2631$⪔⊥$1038$⩒⫫(↞≼$1408$)","expression":"⋋%⋟3543⪔⊥⋋%⋟1373⩒⫫(↞≼⋋%⋟1834)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":58,"operation_count":3,"complexity_ratio":19.333333333333332,"tree":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":2631,"base":9},"right_expr":{"type":"numeric_atoms","value":1038,"base":9}},"right_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"numeric_atoms","value":1408,"base":9}}},"used_operators":["KFSx94NKJn","HJ9erzHUuu","DE7zCoGJt9"],"dependent_operators":["NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG"],"result":"⋋%⋟11810","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2631","layer":2},{"info":"number node, value=1038","layer":2},{"info":"compute binary expreesion, left_input=2631, right_input=1038, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=8249","layer":1},{"info":"number node, value=1408","layer":2},{"info":"compute unary expreesion, input=1408, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=10850","layer":1},{"info":"compute binary expreesion, left_input=8249, right_input=10850, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=7947","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟3543⪔⊥⋋%⋟1373⩒⫫(↞≼⋋%⋟1834)=⋋%⋟11810","reverse_text":"⋋%⋟11810=⋋%⋟3543⪔⊥⋋%⋟1373⩒⫫(↞≼⋋%⋟1834)","cot":[{"info":"⋋%⋟3543⪔⊥⋋%⋟1373=⋋%⋟12275","layer":1},{"info":"↞≼⋋%⋟1834=⋋%⋟15785","layer":1},{"info":"⋋%⋟12275⩒⫫⋋%⋟15785=⋋%⋟11810","layer":0}]}
+{"id":66,"expression_no_base_symbol":"($1395$⫚↹⊑$4344$)⋕⪉⪜(∜⨇$2641$)","expression":"(⋋%⋟1820⫚↹⊑⋋%⋟5856)⋕⪉⪜(∜⨇⋋%⋟3554)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":98,"operation_count":3,"complexity_ratio":32.666666666666664,"tree":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":1395,"base":9},"right_expr":{"type":"numeric_atoms","value":4344,"base":9}},"right_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"numeric_atoms","value":2641,"base":9}}},"used_operators":["z6LnFrNh4i","dfKe02y8D2","uFPyJr306J"],"dependent_operators":["sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ"],"result":"⋋%⋟246","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1395","layer":2},{"info":"number node, value=4344","layer":2},{"info":"compute binary expreesion, left_input=1395, right_input=4344, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":1},{"info":"number node, value=2641","layer":2},{"info":"compute unary expreesion, input=2641, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-447, right_input=nan, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟1820⫚↹⊑⋋%⋟5856)⋕⪉⪜(∜⨇⋋%⋟3554)=⋋%⋟246","reverse_text":"⋋%⋟246=(⋋%⋟1820⫚↹⊑⋋%⋟5856)⋕⪉⪜(∜⨇⋋%⋟3554)","cot":[{"info":"⋋%⋟1820⫚↹⊑⋋%⋟5856=⋋%⋟-546","layer":1},{"info":"∜⨇⋋%⋟3554=NaN","layer":1},{"info":"⋋%⋟-546⋕⪉⪜NaN=⋋%⋟246","layer":0}]}
+{"id":67,"expression_no_base_symbol":"$4963$+⪬∐$6628$⪍↜⋙($4181$⋷$8691$)","expression":"⋋%⋟6724+⪬∐⋋%⋟10074⪍↜⋙(⋋%⋟5655⋷⋋%⋟12826)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":25,"operation_count":3,"complexity_ratio":8.333333333333334,"tree":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":4963,"base":9},"right_expr":{"type":"numeric_atoms","value":6628,"base":9}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":4181,"base":9},"right_expr":{"type":"numeric_atoms","value":8691,"base":9}}},"used_operators":["L05ObWFQCd","2GS7woTJqF","23Mk6UjR3U"],"dependent_operators":["rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","g55IO6H4Gj","D4vGDi5EA2","W4YGzv6Whe","t8gj7n24qd"],"result":"⋋%⋟71741","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=4963","layer":2},{"info":"number node, value=6628","layer":2},{"info":"compute binary expreesion, left_input=4963, right_input=6628, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-14889","layer":1},{"info":"number node, value=4181","layer":2},{"info":"number node, value=8691","layer":2},{"info":"compute binary expreesion, left_input=4181, right_input=8691, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=13201","layer":1},{"info":"compute binary expreesion, left_input=-14889, right_input=13201, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=47260","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟6724+⪬∐⋋%⋟10074⪍↜⋙(⋋%⋟5655⋷⋋%⋟12826)=⋋%⋟71741","reverse_text":"⋋%⋟71741=⋋%⋟6724+⪬∐⋋%⋟10074⪍↜⋙(⋋%⋟5655⋷⋋%⋟12826)","cot":[{"info":"⋋%⋟6724+⪬∐⋋%⋟10074=⋋%⋟-22373","layer":1},{"info":"⋋%⋟5655⋷⋋%⋟12826=⋋%⋟20087","layer":1},{"info":"⋋%⋟-22373⪍↜⋙⋋%⋟20087=⋋%⋟71741","layer":0}]}
+{"id":68,"expression_no_base_symbol":"⫡⇟⇯($1142$⊉≛↸$6688$)","expression":"⫡⇟⇯(⋋%⋟1508⊉≛↸⋋%⋟10151)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":8,"operation_count":2,"complexity_ratio":4.0,"tree":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"binary","operator":"���≛↸","left_expr":{"type":"numeric_atoms","value":1142,"base":9},"right_expr":{"type":"numeric_atoms","value":6688,"base":9}}},"used_operators":["qWUSsah53b","DZ8iAZOCBD"],"dependent_operators":["DZ8iAZOCBD","P8v4zCKN1o","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⋋%⋟7410","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1142","layer":2},{"info":"number node, value=6688","layer":2},{"info":"compute binary expreesion, left_input=1142, right_input=6688, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2284","layer":1},{"info":"compute unary expreesion, input=2284, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=5436","layer":0}],"base":9,"result_base":9,"text":"⫡⇟⇯(⋋%⋟1508⊉≛↸⋋%⋟10151)=⋋%⋟7410","reverse_text":"⋋%⋟7410=⫡⇟⇯(⋋%⋟1508⊉≛↸⋋%⋟10151)","cot":[{"info":"⋋%⋟1508⊉≛↸⋋%⋟10151=⋋%⋟3117","layer":1},{"info":"⫡⇟⇯⋋%⋟3117=⋋%⋟7410","layer":0}]}
+{"id":69,"expression_no_base_symbol":"$6468$⫗⊷⫓$5354$⇗⋫","expression":"⋋%⋟8776⫗⊷⫓⋋%⋟7308⇗⋫","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":646,"operation_count":2,"complexity_ratio":323.0,"tree":{"type":"unary","operator":"⇗⋫","unary_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":6468,"base":9},"right_expr":{"type":"numeric_atoms","value":5354,"base":9}}},"used_operators":["hpqmaQFPrd","zashukvMKz"],"dependent_operators":["rxpJgHHUmx","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=6468","layer":2},{"info":"number node, value=5354","layer":2},{"info":"compute binary expreesion, left_input=6468, right_input=5354, 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 = hpqmaQFPrd, unary_op_definition = 'a⇗⋫ = { (a≭a) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟8776⫗⊷⫓⋋%⋟7308⇗⋫=NaN","reverse_text":"NaN=⋋%⋟8776⫗⊷⫓⋋%⋟7308⇗⋫","cot":[{"info":"⋋%⋟8776⫗⊷⫓⋋%⋟7308=⋋%⋟-158","layer":1},{"info":"⋋%⋟-158⇗⋫=NaN","layer":0}]}
+{"id":70,"expression_no_base_symbol":"($1662$⊝)⪕$2762$⫁$4416$","expression":"(⋋%⋟2246⊝)⪕⋋%⋟3708⫁⋋%⋟6046","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":108,"operation_count":3,"complexity_ratio":36.0,"tree":{"type":"binary","operator":"⪕","left_expr":{"type":"unary","operator":"⊝","unary_expr":{"type":"numeric_atoms","value":1662,"base":9}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":2762,"base":9},"right_expr":{"type":"numeric_atoms","value":4416,"base":9}}},"used_operators":["umQnsF7QlU","O6EZ0fifGK","0ajvFaJAv0"],"dependent_operators":["P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","IqGBaFP0uj","ncHt1X6cMc","AHs5Up7iyr","EWw2JM7wp4","6o9Blt3TJ6","keWfFq85dY","u7fv1HBiaC","cHh1gJQ2o6","AHs5Up7iyr"],"result":"⋋%⋟5516","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1662","layer":2},{"info":"compute unary expreesion, input=1662, op_id = O6EZ0fifGK, unary_op_definition = 'a⊝ = { a , if (≯a)<=30 ; (((⩦⊞a)≁↽≥(a⪉⨛a))≹⇙⪍((a⊓⋫)⪉⨛(a⫰⋱a))) , else }', output=1662","layer":1},{"info":"number node, value=2762","layer":2},{"info":"number node, value=4416","layer":2},{"info":"compute binary expreesion, left_input=2762, right_input=4416, 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=1662, right_input=160, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=4065","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟2246⊝)⪕⋋%⋟3708⫁⋋%⋟6046=⋋%⋟5516","reverse_text":"⋋%⋟5516=(⋋%⋟2246⊝)⪕⋋%⋟3708⫁⋋%⋟6046","cot":[{"info":"⋋%⋟2246⊝=⋋%⋟2246","layer":1},{"info":"⋋%⋟3708⫁⋋%⋟6046=⋋%⋟187","layer":1},{"info":"⋋%⋟2246⪕⋋%⋟187=⋋%⋟5516","layer":0}]}
+{"id":71,"expression_no_base_symbol":"⩦⊞($7711$⊘)","expression":"⩦⊞(⋋%⋟11517⊘)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":26,"operation_count":2,"complexity_ratio":13.0,"tree":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":7711,"base":9}}},"used_operators":["u7fv1HBiaC","gu96TGCTMs"],"dependent_operators":["eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D"],"result":"⋋%⋟-62","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=7711","layer":2},{"info":"compute unary expreesion, input=7711, 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":1},{"info":"compute unary expreesion, input=0, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-56","layer":0}],"base":9,"result_base":9,"text":"⩦⊞(⋋%⋟11517⊘)=⋋%⋟-62","reverse_text":"⋋%⋟-62=⩦⊞(⋋%⋟11517⊘)","cot":[{"info":"⋋%⋟11517⊘=⋋%⋟0","layer":1},{"info":"⩦⊞⋋%⋟0=⋋%⋟-62","layer":0}]}
+{"id":72,"expression_no_base_symbol":"∜⨇(⋼∭⪍$1229$)","expression":"∜⨇(⋼∭⪍⋋%⋟1615)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":66,"operation_count":2,"complexity_ratio":33.0,"tree":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"numeric_atoms","value":1229,"base":9}}},"used_operators":["uFPyJr306J","DbCuESL50I"],"dependent_operators":["fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1229","layer":2},{"info":"compute unary expreesion, input=1229, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-3176","layer":1},{"info":"compute unary expreesion, input=-3176, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=nan","layer":0}],"base":9,"result_base":9,"text":"∜⨇(⋼∭⪍⋋%⋟1615)=NaN","reverse_text":"NaN=∜⨇(⋼∭⪍⋋%⋟1615)","cot":[{"info":"⋼∭⪍⋋%⋟1615=⋋%⋟-4318","layer":1},{"info":"∜⨇⋋%⋟-4318=NaN","layer":0}]}
+{"id":73,"expression_no_base_symbol":"($1366$∪⫐$2794$)⫌⩹⨱","expression":"(⋋%⋟1777∪⫐⋋%⋟3744)⫌⩹⨱","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":11,"operation_count":2,"complexity_ratio":5.5,"tree":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":1366,"base":9},"right_expr":{"type":"numeric_atoms","value":2794,"base":9}}},"used_operators":["EBcxylXtPf","7YooWSwCyH"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","rJVOvQCfKK","2DDjHMKMc0"],"result":"⋋%⋟5602","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1366","layer":2},{"info":"number node, value=2794","layer":2},{"info":"compute binary expreesion, left_input=1366, right_input=2794, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=1366","layer":1},{"info":"compute unary expreesion, input=1366, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=4133","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟1777∪⫐⋋%⋟3744)⫌⩹⨱=⋋%⋟5602","reverse_text":"⋋%⋟5602=(⋋%⋟1777∪⫐⋋%⋟3744)⫌⩹⨱","cot":[{"info":"⋋%⋟1777∪⫐⋋%⋟3744=⋋%⋟1777","layer":1},{"info":"⋋%⋟1777⫌⩹⨱=⋋%⋟5602","layer":0}]}
+{"id":74,"expression_no_base_symbol":"($2416$*$4367$)≭($1720$∷$4500$)","expression":"(⋋%⋟3274*⋋%⋟5882)≭(⋋%⋟2321∷⋋%⋟6150)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2419,"operation_count":3,"complexity_ratio":806.3333333333334,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2416,"base":9},"right_expr":{"type":"numeric_atoms","value":4367,"base":9}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":1720,"base":9},"right_expr":{"type":"numeric_atoms","value":4500,"base":9}}},"used_operators":["rxpJgHHUmx","9HNa5Wba9A","D3AQDKkPcf"],"dependent_operators":["AHs5Up7iyr","W4YGzv6Whe","9FxExcQeMw","NTOWxs364D","7j4O788W3g"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2416","layer":2},{"info":"number node, value=4367","layer":2},{"info":"compute binary expreesion, left_input=2416, right_input=4367, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=10550672","layer":1},{"info":"number node, value=1720","layer":2},{"info":"number node, value=4500","layer":2},{"info":"compute binary expreesion, left_input=1720, right_input=4500, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=4500","layer":1},{"info":"compute binary expreesion, left_input=10550672, right_input=4500, 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":0}],"base":9,"result_base":9,"text":"(⋋%⋟3274*⋋%⋟5882)≭(⋋%⋟2321∷⋋%⋟6150)=NaN","reverse_text":"NaN=(⋋%⋟3274*⋋%⋟5882)≭(⋋%⋟2321∷⋋%⋟6150)","cot":[{"info":"⋋%⋟3274*⋋%⋟5882=⋋%⋟21760718","layer":1},{"info":"⋋%⋟2321∷⋋%⋟6150=⋋%⋟6150","layer":1},{"info":"⋋%⋟21760718≭⋋%⋟6150=NaN","layer":0}]}
+{"id":75,"expression_no_base_symbol":"(∂⩏⊆$7324$)⩨$1384$≥⨤⩑$1111$","expression":"(∂⩏⊆⋋%⋟11037)⩨⋋%⋟1807≥⨤⩑⋋%⋟1464","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":19,"operation_count":3,"complexity_ratio":6.333333333333333,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"numeric_atoms","value":7324,"base":9}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":1384,"base":9},"right_expr":{"type":"numeric_atoms","value":1111,"base":9}}},"used_operators":["2DlMacCsIx","8WDwsbhb0R","gJLn6v0xnP"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","14qkJME0vr","eLAdDNolq6","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE"],"result":"⋋%⋟3","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=7324","layer":2},{"info":"compute unary expreesion, input=7324, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-22051","layer":1},{"info":"number node, value=1384","layer":2},{"info":"number node, value=1111","layer":2},{"info":"compute binary expreesion, left_input=1384, right_input=1111, 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=-22051, right_input=1234, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=3","layer":0}],"base":9,"result_base":9,"text":"(∂⩏⊆⋋%⋟11037)⩨⋋%⋟1807≥⨤⩑⋋%⋟1464=⋋%⋟3","reverse_text":"⋋%⋟3=(∂⩏⊆⋋%⋟11037)⩨⋋%⋟1807≥⨤⩑⋋%⋟1464","cot":[{"info":"∂⩏⊆⋋%⋟11037=⋋%⋟-33221","layer":1},{"info":"⋋%⋟1807≥⨤⩑⋋%⋟1464=⋋%⋟1621","layer":1},{"info":"⋋%⋟-33221⩨⋋%⋟1621=⋋%⋟3","layer":0}]}
+{"id":76,"expression_no_base_symbol":"$3833$≹⇙⪍$5585$⋷$4704$↞⋁$5702$","expression":"⋋%⋟5228≹⇙⪍⋋%⋟7585⋷⋋%⋟6406↞⋁⋋%⋟7735","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":177,"operation_count":3,"complexity_ratio":59.0,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":3833,"base":9},"right_expr":{"type":"numeric_atoms","value":5585,"base":9}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":4704,"base":9},"right_expr":{"type":"numeric_atoms","value":5702,"base":9}}},"used_operators":["23Mk6UjR3U","AHs5Up7iyr","RqrPlJkxDo"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","Uaa54Peajs","CArV6hThFE","13rbtpv6ld"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=3833","layer":2},{"info":"number node, value=5585","layer":2},{"info":"compute binary expreesion, left_input=3833, right_input=5585, 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=4704","layer":2},{"info":"number node, value=5702","layer":2},{"info":"compute binary expreesion, left_input=4704, right_input=5702, 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 = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟5228≹⇙⪍⋋%⋟7585⋷⋋%⋟6406↞⋁⋋%⋟7735=NaN","reverse_text":"NaN=⋋%⋟5228≹⇙⪍⋋%⋟7585⋷⋋%⋟6406↞⋁⋋%⋟7735","cot":[{"info":"⋋%⋟5228≹⇙⪍⋋%⋟7585=NaN","layer":1},{"info":"⋋%⋟6406↞⋁⋋%⋟7735=NaN","layer":1},{"info":"NaN⋷NaN=NaN","layer":0}]}
+{"id":77,"expression_no_base_symbol":"$1806$⊱⇼⊻$4200$⨑≵⋬$1611$⊔$3640$","expression":"⋋%⋟2426⊱⇼⊻⋋%⋟5676⨑≵⋬⋋%⋟2180⊔⋋%⋟4884","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":42,"operation_count":3,"complexity_ratio":14.0,"tree":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":1806,"base":9},"right_expr":{"type":"numeric_atoms","value":4200,"base":9}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":1611,"base":9},"right_expr":{"type":"numeric_atoms","value":3640,"base":9}}},"used_operators":["XnXgA4xnOs","FyVja0WsTP","E4l6HwMY31"],"dependent_operators":["eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q"],"result":"⋋%⋟-216705","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1806","layer":2},{"info":"number node, value=4200","layer":2},{"info":"compute binary expreesion, left_input=1806, right_input=4200, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":1},{"info":"number node, value=1611","layer":2},{"info":"number node, value=3640","layer":2},{"info":"compute binary expreesion, left_input=1611, right_input=3640, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=19022","layer":1},{"info":"compute binary expreesion, left_input=434, right_input=19022, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-129605","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟2426⊱⇼⊻⋋%⋟5676⨑≵⋬⋋%⋟2180⊔⋋%⋟4884=⋋%⋟-216705","reverse_text":"⋋%⋟-216705=⋋%⋟2426⊱⇼⊻⋋%⋟5676⨑≵⋬⋋%⋟2180⊔⋋%⋟4884","cot":[{"info":"⋋%⋟2426⊱⇼⊻⋋%⋟5676=⋋%⋟532","layer":1},{"info":"⋋%⋟2180⊔⋋%⋟4884=⋋%⋟28075","layer":1},{"info":"⋋%⋟532⨑≵⋬⋋%⋟28075=⋋%⋟-216705","layer":0}]}
+{"id":78,"expression_no_base_symbol":"($3837$⫸⊐$1031$)≀⩗∶$4186$≃$4477$","expression":"(⋋%⋟5233⫸⊐⋋%⋟1365)≀⩗∶⋋%⋟5661≃⋋%⋟6124","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":59,"operation_count":3,"complexity_ratio":19.666666666666668,"tree":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3837,"base":9},"right_expr":{"type":"numeric_atoms","value":1031,"base":9}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":4186,"base":9},"right_expr":{"type":"numeric_atoms","value":4477,"base":9}}},"used_operators":["8INZBEW696","mqXw5SEYmG","YbVcJGFEVW"],"dependent_operators":["KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C"],"result":"⋋%⋟16","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3837","layer":2},{"info":"number node, value=1031","layer":2},{"info":"compute binary expreesion, left_input=3837, 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":1},{"info":"number node, value=4186","layer":2},{"info":"number node, value=4477","layer":2},{"info":"compute binary expreesion, left_input=4186, right_input=4477, 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=-16784","layer":1},{"info":"compute binary expreesion, left_input=3999, right_input=-16784, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=15","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟5233⫸⊐⋋%⋟1365)≀⩗∶⋋%⋟5661≃⋋%⋟6124=⋋%⋟16","reverse_text":"⋋%⋟16=(⋋%⋟5233⫸⊐⋋%⋟1365)≀⩗∶⋋%⋟5661≃⋋%⋟6124","cot":[{"info":"⋋%⋟5233⫸⊐⋋%⋟1365=⋋%⋟5433","layer":1},{"info":"⋋%⋟5661≃⋋%⋟6124=⋋%⋟-25018","layer":1},{"info":"⋋%⋟5433≀⩗∶⋋%⋟-25018=⋋%⋟16","layer":0}]}
+{"id":79,"expression_no_base_symbol":"⊤⊝$2087$⪭≯$1830$","expression":"⊤⊝⋋%⋟2768⪭≯⋋%⋟2453","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":188,"operation_count":2,"complexity_ratio":94.0,"tree":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":2087,"base":9},"right_expr":{"type":"numeric_atoms","value":1830,"base":9}}},"used_operators":["rXAclfmB4M","XAx5wpdLa6"],"dependent_operators":["sdazOOVcIp","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=2087","layer":2},{"info":"number node, value=1830","layer":2},{"info":"compute binary expreesion, left_input=2087, right_input=1830, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"⊤⊝⋋%⋟2768⪭≯⋋%⋟2453=NaN","reverse_text":"NaN=⊤⊝⋋%⋟2768⪭≯⋋%⋟2453","cot":[{"info":"⋋%⋟2768⪭≯⋋%⋟2453=NaN","layer":1},{"info":"⊤⊝NaN=NaN","layer":0}]}
+{"id":80,"expression_no_base_symbol":"($6054$⨜⨶$1573$)≝⊰⇂","expression":"(⋋%⋟8266⨜⨶⋋%⋟2137)≝⊰⇂","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":31,"operation_count":2,"complexity_ratio":15.5,"tree":{"type":"unary","operator":"≝⊰⇂","unary_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":6054,"base":9},"right_expr":{"type":"numeric_atoms","value":1573,"base":9}}},"used_operators":["htSmYCowi5","HiPekx5b7W"],"dependent_operators":["9FxExcQeMw","DlLNRPXxWL","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q"],"result":"⋋%⋟-8101","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=6054","layer":2},{"info":"number node, value=1573","layer":2},{"info":"compute binary expreesion, left_input=6054, right_input=1573, 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=-2890","layer":1},{"info":"compute unary expreesion, input=-2890, op_id = htSmYCowi5, unary_op_definition = 'a≝⊰⇂ = { (a⩷∴51) , if a<491 ; (⫛⫱⨽a) , else }', output=-5914","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟8266⨜⨶⋋%⋟2137)≝⊰⇂=⋋%⋟-8101","reverse_text":"⋋%⋟-8101=(⋋%⋟8266⨜⨶⋋%⋟2137)≝⊰⇂","cot":[{"info":"⋋%⋟8266⨜⨶⋋%⋟2137=⋋%⋟-3861","layer":1},{"info":"⋋%⋟-3861≝⊰⇂=⋋%⋟-8101","layer":0}]}
+{"id":81,"expression_no_base_symbol":"$4586$⊋≦⊧$4750$⨎$2660$⪕$5680$","expression":"⋋%⋟6255⊋≦⊧⋋%⋟6457⨎⋋%⋟3575⪕⋋%⋟7711","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":31,"operation_count":3,"complexity_ratio":10.333333333333334,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":4586,"base":9},"right_expr":{"type":"numeric_atoms","value":4750,"base":9}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":2660,"base":9},"right_expr":{"type":"numeric_atoms","value":5680,"base":9}}},"used_operators":["rJVOvQCfKK","oRDoc9rAEX","umQnsF7QlU"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF"],"result":"⋋%⋟661","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=4586","layer":2},{"info":"number node, value=4750","layer":2},{"info":"compute binary expreesion, left_input=4586, right_input=4750, 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=-9096","layer":1},{"info":"number node, value=2660","layer":2},{"info":"number node, value=5680","layer":2},{"info":"compute binary expreesion, left_input=2660, right_input=5680, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=541","layer":1},{"info":"compute binary expreesion, left_input=-9096, right_input=541, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=541","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟6255⊋≦⊧⋋%⋟6457⨎⋋%⋟3575⪕⋋%⋟7711=⋋%⋟661","reverse_text":"⋋%⋟661=⋋%⋟6255⊋≦⊧⋋%⋟6457⨎⋋%⋟3575⪕⋋%⋟7711","cot":[{"info":"⋋%⋟6255⊋≦⊧⋋%⋟6457=⋋%⋟-13426","layer":1},{"info":"⋋%⋟3575⪕⋋%⋟7711=⋋%⋟661","layer":1},{"info":"⋋%⋟-13426⨎⋋%⋟661=⋋%⋟661","layer":0}]}
+{"id":82,"expression_no_base_symbol":"$8823$↞⋁$1315$⨐⩸⫘$1341$⪢$6918$","expression":"⋋%⋟13083↞⋁⋋%⋟1721⨐⩸⫘⋋%⋟1750⪢⋋%⋟10436","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7093,"operation_count":3,"complexity_ratio":2364.3333333333335,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":8823,"base":9},"right_expr":{"type":"numeric_atoms","value":1315,"base":9}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1341,"base":9},"right_expr":{"type":"numeric_atoms","value":6918,"base":9}}},"used_operators":["fu6greOZ01","RqrPlJkxDo","dWAJyo7jo9"],"dependent_operators":["3ViojmjbAp","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=8823","layer":2},{"info":"number node, value=1315","layer":2},{"info":"compute binary expreesion, left_input=8823, right_input=1315, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":1},{"info":"number node, value=1341","layer":2},{"info":"number node, value=6918","layer":2},{"info":"compute binary expreesion, left_input=1341, right_input=6918, 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 = 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":9,"result_base":9,"text":"⋋%⋟13083↞⋁⋋%⋟1721⨐⩸⫘⋋%⋟1750⪢⋋%⋟10436=NaN","reverse_text":"NaN=⋋%⋟13083↞⋁⋋%⋟1721⨐⩸⫘⋋%⋟1750⪢⋋%⋟10436","cot":[{"info":"⋋%⋟13083↞⋁⋋%⋟1721=NaN","layer":1},{"info":"⋋%⋟1750⪢⋋%⋟10436=NaN","layer":1},{"info":"NaN⨐⩸⫘NaN=NaN","layer":0}]}
+{"id":83,"expression_no_base_symbol":"(⊲⪭$2447$)⊪","expression":"(⊲⪭⋋%⋟3318)⊪","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":7883,"operation_count":2,"complexity_ratio":3941.5,"tree":{"type":"unary","operator":"⊪","unary_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"numeric_atoms","value":2447,"base":9}}},"used_operators":["zVYPLywUTj","k7HXdKtiEU"],"dependent_operators":["sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","i8ToyICDmI","xUOZtlo3hN"],"result":"⋋%⋟153747351","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2447","layer":2},{"info":"compute unary expreesion, input=2447, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-2621","layer":1},{"info":"compute unary expreesion, input=-2621, 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=69000868","layer":0}],"base":9,"result_base":9,"text":"(⊲⪭⋋%⋟3318)⊪=⋋%⋟153747351","reverse_text":"⋋%⋟153747351=(⊲⪭⋋%⋟3318)⊪","cot":[{"info":"⊲⪭⋋%⋟3318=⋋%⋟-3532","layer":1},{"info":"⋋%⋟-3532⊪=⋋%⋟153747351","layer":0}]}
+{"id":84,"expression_no_base_symbol":"→⩰(≻⋜$1688$)","expression":"→⩰(≻⋜⋋%⋟2275)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":7910,"operation_count":2,"complexity_ratio":3955.0,"tree":{"type":"unary","operator":"→⩰","unary_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"numeric_atoms","value":1688,"base":9}}},"used_operators":["o8Pngz0Tml","3tj9sqzovi"],"dependent_operators":["9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1688","layer":2},{"info":"compute unary expreesion, input=1688, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"→⩰(≻⋜⋋%⋟2275)=NaN","reverse_text":"NaN=→⩰(≻⋜⋋%⋟2275)","cot":[{"info":"≻⋜⋋%⋟2275=NaN","layer":1},{"info":"→⩰NaN=NaN","layer":0}]}
+{"id":85,"expression_no_base_symbol":"$1327$⫃⨇$4247$∖($2040$/$1255$)","expression":"⋋%⋟1734⫃⨇⋋%⋟5738∖(⋋%⋟2716/⋋%⋟1644)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":183,"operation_count":3,"complexity_ratio":61.0,"tree":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":1327,"base":9},"right_expr":{"type":"numeric_atoms","value":4247,"base":9}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2040,"base":9},"right_expr":{"type":"numeric_atoms","value":1255,"base":9}}},"used_operators":["tXD093vOjl","09Ly4LVMIf","XhwjNDsVaA"],"dependent_operators":["rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","rysDP5nf3Z"],"result":"⋋%⋟0","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1327","layer":2},{"info":"number node, value=4247","layer":2},{"info":"compute binary expreesion, left_input=1327, right_input=4247, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-17020","layer":1},{"info":"number node, value=2040","layer":2},{"info":"number node, value=1255","layer":2},{"info":"compute binary expreesion, left_input=2040, right_input=1255, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":1},{"info":"compute binary expreesion, left_input=-17020, right_input=1, 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":9,"result_base":9,"text":"⋋%⋟1734⫃⨇⋋%⋟5738∖(⋋%⋟2716/⋋%⋟1644)=⋋%⋟0","reverse_text":"⋋%⋟0=⋋%⋟1734⫃⨇⋋%⋟5738∖(⋋%⋟2716/⋋%⋟1644)","cot":[{"info":"⋋%⋟1734⫃⨇⋋%⋟5738=⋋%⋟-25311","layer":1},{"info":"⋋%⋟2716/⋋%⋟1644=⋋%⋟1","layer":1},{"info":"⋋%⋟-25311∖⋋%⋟1=⋋%⋟0","layer":0}]}
+{"id":86,"expression_no_base_symbol":"$1119$⪡$1650$≣⋋","expression":"⋋%⋟1473⪡⋋%⋟2233≣⋋","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":124,"operation_count":2,"complexity_ratio":62.0,"tree":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":1119,"base":9},"right_expr":{"type":"numeric_atoms","value":1650,"base":9}}},"used_operators":["Tcnh7f0tEr","oraRL2iQuh"],"dependent_operators":["dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R"],"result":"⋋%⋟0","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1119","layer":2},{"info":"number node, value=1650","layer":2},{"info":"compute binary expreesion, left_input=1119, right_input=1650, 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 = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟1473⪡⋋%⋟2233≣⋋=⋋%⋟0","reverse_text":"⋋%⋟0=⋋%⋟1473⪡⋋%⋟2233≣⋋","cot":[{"info":"⋋%⋟1473⪡⋋%⋟2233=⋋%⋟128","layer":1},{"info":"⋋%⋟128≣⋋=⋋%⋟0","layer":0}]}
+{"id":87,"expression_no_base_symbol":"$4458$⫁$2463$⨰$2683$⪝$4022$","expression":"⋋%⋟6103⫁⋋%⋟3336⨰⋋%⋟3611⪝⋋%⋟5458","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":518,"operation_count":3,"complexity_ratio":172.66666666666666,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":4458,"base":9},"right_expr":{"type":"numeric_atoms","value":2463,"base":9}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":2683,"base":9},"right_expr":{"type":"numeric_atoms","value":4022,"base":9}}},"used_operators":["eewbuw0ToL","0ajvFaJAv0","wicAB68Tmb"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","cHh1gJQ2o6","AHs5Up7iyr","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X"],"result":"⋋%⋟-74","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=4458","layer":2},{"info":"number node, value=2463","layer":2},{"info":"compute binary expreesion, left_input=4458, right_input=2463, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":1},{"info":"number node, value=2683","layer":2},{"info":"number node, value=4022","layer":2},{"info":"compute binary expreesion, left_input=2683, right_input=4022, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=237, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-67","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟6103⫁⋋%⋟3336⨰⋋%⋟3611⪝⋋%⋟5458=⋋%⋟-74","reverse_text":"⋋%⋟-74=⋋%⋟6103⫁⋋%⋟3336⨰⋋%⋟3611⪝⋋%⋟5458","cot":[{"info":"⋋%⋟6103⫁⋋%⋟3336=⋋%⋟187","layer":1},{"info":"⋋%⋟3611⪝⋋%⋟5458=⋋%⋟283","layer":1},{"info":"⋋%⋟187⨰⋋%⋟283=⋋%⋟-74","layer":0}]}
+{"id":88,"expression_no_base_symbol":"($1219$⇴$4773$)⫉⨲⊜($1429$⫥∨⫟$1552$)","expression":"(⋋%⋟1604⇴⋋%⋟6483)⫉⨲⊜(⋋%⋟1857⫥∨⫟⋋%⋟2114)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":201,"operation_count":3,"complexity_ratio":67.0,"tree":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":1219,"base":9},"right_expr":{"type":"numeric_atoms","value":4773,"base":9}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1429,"base":9},"right_expr":{"type":"numeric_atoms","value":1552,"base":9}}},"used_operators":["WhqkvtTD3t","4JB6nKBMSY","KYD54nUTWz"],"dependent_operators":["eewbuw0ToL","zVYPLywUTj","sdazOOVcIp","NTOWxs364D","COABgblf1C","8HhzD0ZcuI","rGHVDoGpnC"],"result":"⋋%⋟0","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1219","layer":2},{"info":"number node, value=4773","layer":2},{"info":"compute binary expreesion, left_input=1219, right_input=4773, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=16474","layer":1},{"info":"number node, value=1429","layer":2},{"info":"number node, value=1552","layer":2},{"info":"compute binary expreesion, left_input=1429, right_input=1552, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=16474, right_input=nan, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟1604⇴⋋%⋟6483)⫉⨲⊜(⋋%⋟1857⫥∨⫟⋋%⋟2114)=⋋%⋟0","reverse_text":"⋋%⋟0=(⋋%⋟1604⇴⋋%⋟6483)⫉⨲⊜(⋋%⋟1857⫥∨⫟⋋%⋟2114)","cot":[{"info":"⋋%⋟1604⇴⋋%⋟6483=⋋%⋟24534","layer":1},{"info":"⋋%⋟1857⫥∨⫟⋋%⋟2114=NaN","layer":1},{"info":"⋋%⋟24534⫉⨲⊜NaN=⋋%⋟0","layer":0}]}
+{"id":89,"expression_no_base_symbol":"⨈⪑$1147$⨑⩅≇$1004$","expression":"⨈⪑⋋%⋟1514⨑⩅≇⋋%⋟1335","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1129,"operation_count":2,"complexity_ratio":564.5,"tree":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":1147,"base":9},"right_expr":{"type":"numeric_atoms","value":1004,"base":9}}},"used_operators":["mp94q5OcYM","h92wMvzauj"],"dependent_operators":["YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq"],"result":"⋋%⋟1164","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1147","layer":2},{"info":"number node, value=1004","layer":2},{"info":"compute binary expreesion, left_input=1147, right_input=1004, 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=-3441","layer":1},{"info":"compute unary expreesion, input=-3441, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":0}],"base":9,"result_base":9,"text":"⨈⪑⋋%⋟1514⨑⩅≇⋋%⋟1335=⋋%⋟1164","reverse_text":"⋋%⋟1164=⨈⪑⋋%⋟1514⨑⩅≇⋋%⋟1335","cot":[{"info":"⋋%⋟1514⨑⩅≇⋋%⋟1335=⋋%⋟-4643","layer":1},{"info":"⨈⪑⋋%⋟-4643=⋋%⋟1164","layer":0}]}
+{"id":90,"expression_no_base_symbol":"≑⋹(⋗⩬⋾$2314$)","expression":"≑⋹(⋗⩬⋾⋋%⋟3151)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":7260,"operation_count":2,"complexity_ratio":3630.0,"tree":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":2314,"base":9}}},"used_operators":["6B9nyZLogK","DpFCA1CohY"],"dependent_operators":["aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⋋%⋟-1041","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2314","layer":2},{"info":"compute unary expreesion, input=2314, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-6942","layer":1},{"info":"compute unary expreesion, input=-6942, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=-766","layer":0}],"base":9,"result_base":9,"text":"≑⋹(⋗⩬⋾⋋%⋟3151)=⋋%⋟-1041","reverse_text":"⋋%⋟-1041=≑⋹(⋗⩬⋾⋋%⋟3151)","cot":[{"info":"⋗⩬⋾⋋%⋟3151=⋋%⋟-10463","layer":1},{"info":"≑⋹⋋%⋟-10463=⋋%⋟-1041","layer":0}]}
+{"id":91,"expression_no_base_symbol":"↴⪽⋼($2118$⪁$1346$)","expression":"↴⪽⋼(⋋%⋟2813⪁⋋%⋟1755)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":19057750,"operation_count":2,"complexity_ratio":9528875.0,"tree":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":2118,"base":9},"right_expr":{"type":"numeric_atoms","value":1346,"base":9}}},"used_operators":["5TUYCnJO6w","I7sXao9hZE"],"dependent_operators":["MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=2118","layer":2},{"info":"number node, value=1346","layer":2},{"info":"compute binary expreesion, left_input=2118, right_input=1346, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=nan","layer":0}],"base":9,"result_base":9,"text":"↴⪽⋼(⋋%⋟2813⪁⋋%⋟1755)=NaN","reverse_text":"NaN=↴⪽⋼(⋋%⋟2813⪁⋋%⋟1755)","cot":[{"info":"⋋%⋟2813⪁⋋%⋟1755=NaN","layer":1},{"info":"↴⪽⋼NaN=NaN","layer":0}]}
+{"id":92,"expression_no_base_symbol":"$2813$≎⪠$3935$⋾⨃∁($4096$⩠)","expression":"⋋%⋟3765≎⪠⋋%⋟5352⋾⨃∁(⋋%⋟5551⩠)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":19153,"operation_count":3,"complexity_ratio":6384.333333333333,"tree":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":2813,"base":9},"right_expr":{"type":"numeric_atoms","value":3935,"base":9}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":4096,"base":9}}},"used_operators":["212REbPD9h","aNhz54LH3e","sJAwomhLZr"],"dependent_operators":["eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C"],"result":"⋋%⋟-114","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2813","layer":2},{"info":"number node, value=3935","layer":2},{"info":"compute binary expreesion, left_input=2813, right_input=3935, 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=4096","layer":2},{"info":"compute unary expreesion, input=4096, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=19558, 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":0}],"base":9,"result_base":9,"text":"⋋%⋟3765≎⪠⋋%⋟5352⋾⨃∁(⋋%⋟5551⩠)=⋋%⋟-114","reverse_text":"⋋%⋟-114=⋋%⋟3765≎⪠⋋%⋟5352⋾⨃∁(⋋%⋟5551⩠)","cot":[{"info":"⋋%⋟3765≎⪠⋋%⋟5352=⋋%⋟28741","layer":1},{"info":"⋋%⋟5551⩠=⋋%⋟0","layer":1},{"info":"⋋%⋟28741⋾⨃∁⋋%⋟0=⋋%⋟-114","layer":0}]}
+{"id":93,"expression_no_base_symbol":"($6236$≬⋮$1626$)⊝⪿⪼($8425$⇼⇔∾$1318$)","expression":"(⋋%⋟8488≬⋮⋋%⋟2206)⊝⪿⪼(⋋%⋟12501⇼⇔∾⋋%⋟1724)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":39,"operation_count":3,"complexity_ratio":13.0,"tree":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":6236,"base":9},"right_expr":{"type":"numeric_atoms","value":1626,"base":9}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":8425,"base":9},"right_expr":{"type":"numeric_atoms","value":1318,"base":9}}},"used_operators":["3Oe9XWJUTD","kbkesczE7y","tifHPKVTfV"],"dependent_operators":["NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","rysDP5nf3Z","t8gj7n24qd"],"result":"⋋%⋟53428","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=6236","layer":2},{"info":"number node, value=1626","layer":2},{"info":"compute binary expreesion, left_input=6236, right_input=1626, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":1},{"info":"number node, value=8425","layer":2},{"info":"number node, value=1318","layer":2},{"info":"compute binary expreesion, left_input=8425, right_input=1318, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-7107","layer":1},{"info":"compute binary expreesion, left_input=868, right_input=-7107, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=35342","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟8488≬⋮⋋%⋟2206)⊝⪿⪼(⋋%⋟12501⇼⇔∾⋋%⋟1724)=⋋%⋟53428","reverse_text":"⋋%⋟53428=(⋋%⋟8488≬⋮⋋%⋟2206)⊝⪿⪼(⋋%⋟12501⇼⇔∾⋋%⋟1724)","cot":[{"info":"⋋%⋟8488≬⋮⋋%⋟2206=⋋%⋟1164","layer":1},{"info":"⋋%⋟12501⇼⇔∾⋋%⋟1724=⋋%⋟-10666","layer":1},{"info":"⋋%⋟1164⊝⪿⪼⋋%⋟-10666=⋋%⋟53428","layer":0}]}
+{"id":94,"expression_no_base_symbol":"$1884$⊮⊟↴$1329$⪁$1664$⊲⩕⊾$3435$","expression":"⋋%⋟2523⊮⊟↴⋋%⋟1736⪁⋋%⋟2248⊲⩕⊾⋋%⋟4636","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":57708,"operation_count":3,"complexity_ratio":19236.0,"tree":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":1884,"base":9},"right_expr":{"type":"numeric_atoms","value":1329,"base":9}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":1664,"base":9},"right_expr":{"type":"numeric_atoms","value":3435,"base":9}}},"used_operators":["I7sXao9hZE","QDVgd2eftb","DmTXOeWf9t"],"dependent_operators":["dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C"],"result":"⋋%⋟0","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1884","layer":2},{"info":"number node, value=1329","layer":2},{"info":"compute binary expreesion, left_input=1884, right_input=1329, 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=1664","layer":2},{"info":"number node, value=3435","layer":2},{"info":"compute binary expreesion, left_input=1664, right_input=3435, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-57604","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-57604, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=0","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟2523⊮⊟↴⋋%⋟1736⪁⋋%⋟2248⊲⩕⊾⋋%⋟4636=⋋%⋟0","reverse_text":"⋋%⋟0=⋋%⋟2523⊮⊟↴⋋%⋟1736⪁⋋%⋟2248⊲⩕⊾⋋%⋟4636","cot":[{"info":"⋋%⋟2523⊮⊟↴⋋%⋟1736=⋋%⋟0","layer":1},{"info":"⋋%⋟2248⊲⩕⊾⋋%⋟4636=⋋%⋟-87014","layer":1},{"info":"⋋%⋟0⪁⋋%⋟-87014=⋋%⋟0","layer":0}]}
+{"id":95,"expression_no_base_symbol":"$6900$⇡⇂$4234$⇴($2702$⇀∌)","expression":"⋋%⋟10416⇡⇂⋋%⋟5724⇴(⋋%⋟3632⇀∌)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":22077,"operation_count":3,"complexity_ratio":7359.0,"tree":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":6900,"base":9},"right_expr":{"type":"numeric_atoms","value":4234,"base":9}},"right_expr":{"type":"unary","operator":"⇀∌","unary_expr":{"type":"numeric_atoms","value":2702,"base":9}}},"used_operators":["4JB6nKBMSY","UMwdvZNt44","2k53nXOpI5"],"dependent_operators":["sdazOOVcIp","NTOWxs364D","COABgblf1C","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","Q3PJZHRvZv","ddLRYrp01A","AcOhelriW5","7t3wd0Fuz7","3tVxb0NHM4"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=6900","layer":2},{"info":"number node, value=4234","layer":2},{"info":"compute binary expreesion, left_input=6900, right_input=4234, 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=2702","layer":2},{"info":"compute unary expreesion, input=2702, op_id = 2k53nXOpI5, unary_op_definition = 'a⇀∌ = { ((a⪎↠(⨣⨃⇪a))⋥⋵⩄(a∊∟⩊(⊥a))) }', output=113","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=113, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟10416⇡⇂⋋%⋟5724⇴(⋋%⋟3632⇀∌)=NaN","reverse_text":"NaN=⋋%⋟10416⇡⇂⋋%⋟5724⇴(⋋%⋟3632⇀∌)","cot":[{"info":"⋋%⋟10416⇡⇂⋋%⋟5724=NaN","layer":1},{"info":"⋋%⋟3632⇀∌=⋋%⋟135","layer":1},{"info":"NaN⇴⋋%⋟135=NaN","layer":0}]}
+{"id":96,"expression_no_base_symbol":"($1090$⫲≸⪮$1326$)⊫∞","expression":"(⋋%⋟1441⫲≸⪮⋋%⋟1733)⊫∞","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":24228,"operation_count":2,"complexity_ratio":12114.0,"tree":{"type":"unary","operator":"⊫∞","unary_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":1090,"base":9},"right_expr":{"type":"numeric_atoms","value":1326,"base":9}}},"used_operators":["pABnYW3G3E","P3lXMJvFrc"],"dependent_operators":["fu6greOZ01","3sJ7IOPOlU","7YooWSwCyH","ivGwdmUAux","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I"],"result":"⋋%⋟0","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1090","layer":2},{"info":"number node, value=1326","layer":2},{"info":"compute binary expreesion, left_input=1090, right_input=1326, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=1090","layer":1},{"info":"compute unary expreesion, input=1090, op_id = pABnYW3G3E, unary_op_definition = 'a⊫∞ = { ((a⨐⩸⫘149)⪇≇⋚(a∪⫐a)) , if (⫵↿a)>=80 ; a , else }', output=0","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟1441⫲≸⪮⋋%⋟1733)⊫∞=⋋%⋟0","reverse_text":"⋋%⋟0=(⋋%⋟1441⫲≸⪮⋋%⋟1733)⊫∞","cot":[{"info":"⋋%⋟1441⫲≸⪮⋋%⋟1733=⋋%⋟1441","layer":1},{"info":"⋋%⋟1441⊫∞=⋋%⋟0","layer":0}]}
+{"id":97,"expression_no_base_symbol":"$5472$≒∊$2789$⩺⪪$1065$≎⪠$1144$","expression":"⋋%⋟7450≒∊⋋%⋟3738⩺⪪⋋%⋟1413≎⪠⋋%⋟1511","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":19236,"operation_count":3,"complexity_ratio":6412.0,"tree":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":5472,"base":9},"right_expr":{"type":"numeric_atoms","value":2789,"base":9}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":1065,"base":9},"right_expr":{"type":"numeric_atoms","value":1144,"base":9}}},"used_operators":["uvdQJvN4PV","5KTvxBwnZo","aNhz54LH3e"],"dependent_operators":["Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF"],"result":"⋋%⋟-2440","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=5472","layer":2},{"info":"number node, value=2789","layer":2},{"info":"compute binary expreesion, left_input=5472, right_input=2789, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-4988","layer":1},{"info":"number node, value=1065","layer":2},{"info":"number node, value=1144","layer":2},{"info":"compute binary expreesion, left_input=1065, right_input=1144, 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=-4988, right_input=19558, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟7450≒∊⋋%⋟3738⩺⪪⋋%⋟1413≎⪠⋋%⋟1511=⋋%⋟-2440","reverse_text":"⋋%⋟-2440=⋋%⋟7450≒∊⋋%⋟3738⩺⪪⋋%⋟1413≎⪠⋋%⋟1511","cot":[{"info":"⋋%⋟7450≒∊⋋%⋟3738=⋋%⋟-6752","layer":1},{"info":"⋋%⋟1413≎⪠⋋%⋟1511=⋋%⋟28741","layer":1},{"info":"⋋%⋟-6752⩺⪪⋋%⋟28741=⋋%⋟-2440","layer":0}]}
+{"id":98,"expression_no_base_symbol":"$3927$⇤$4154$⩼⇪↪($4184$⪪$2380$)","expression":"⋋%⋟5343⇤⋋%⋟5625⩼⇪↪(⋋%⋟5658⪪⋋%⋟3234)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":12717,"operation_count":3,"complexity_ratio":4239.0,"tree":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":3927,"base":9},"right_expr":{"type":"numeric_atoms","value":4154,"base":9}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":4184,"base":9},"right_expr":{"type":"numeric_atoms","value":2380,"base":9}}},"used_operators":["ocnLzx9CaJ","YSKBFp38Pu","xD69zh8xqp"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","FU0Cs4j7VP","JclMnS0uGI"],"result":"⋋%⋟8112756","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3927","layer":2},{"info":"number node, value=4154","layer":2},{"info":"compute binary expreesion, left_input=3927, right_input=4154, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-37557","layer":1},{"info":"number node, value=4184","layer":2},{"info":"number node, value=2380","layer":2},{"info":"compute binary expreesion, left_input=4184, right_input=2380, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-627873","layer":1},{"info":"compute binary expreesion, left_input=-37557, right_input=-627873, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=4319214","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟5343⇤⋋%⋟5625⩼⇪↪(⋋%⋟5658⪪⋋%⋟3234)=⋋%⋟8112756","reverse_text":"⋋%⋟8112756=⋋%⋟5343⇤⋋%⋟5625⩼⇪↪(⋋%⋟5658⪪⋋%⋟3234)","cot":[{"info":"⋋%⋟5343⇤⋋%⋟5625=⋋%⋟-56460","layer":1},{"info":"⋋%⋟5658⪪⋋%⋟3234=⋋%⋟-1156246","layer":1},{"info":"⋋%⋟-56460⩼⇪↪⋋%⋟-1156246=⋋%⋟8112756","layer":0}]}
+{"id":99,"expression_no_base_symbol":"$1019$↓$6544$⫸⊐$1751$⪕$4322$","expression":"⋋%⋟1352↓⋋%⋟8871⫸⊐⋋%⋟2355⪕⋋%⋟5832","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":91927,"operation_count":3,"complexity_ratio":30642.333333333332,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":1019,"base":9},"right_expr":{"type":"numeric_atoms","value":6544,"base":9}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":1751,"base":9},"right_expr":{"type":"numeric_atoms","value":4322,"base":9}}},"used_operators":["mqXw5SEYmG","Af076pWI7l","umQnsF7QlU"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF"],"result":"⋋%⋟428","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1019","layer":2},{"info":"number node, value=6544","layer":2},{"info":"compute binary expreesion, left_input=1019, right_input=6544, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":1},{"info":"number node, value=1751","layer":2},{"info":"number node, value=4322","layer":2},{"info":"compute binary expreesion, left_input=1751, right_input=4322, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=-55","layer":1},{"info":"compute binary expreesion, left_input=-134, right_input=-55, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=350","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟1352↓⋋%⋟8871⫸⊐⋋%⋟2355⪕⋋%⋟5832=⋋%⋟428","reverse_text":"⋋%⋟428=⋋%⋟1352↓⋋%⋟8871⫸⊐⋋%⋟2355⪕⋋%⋟5832","cot":[{"info":"⋋%⋟1352↓⋋%⋟8871=⋋%⋟-158","layer":1},{"info":"⋋%⋟2355⪕⋋%⋟5832=⋋%⋟-61","layer":1},{"info":"⋋%⋟-158⫸⊐⋋%⋟-61=⋋%⋟428","layer":0}]}
+{"id":100,"expression_no_base_symbol":"$1713$∺≝⩲$6548$⩚⊴⇥$1145$⨻⩈⩔$1902$","expression":"⋋%⋟2313∺≝⩲⋋%⋟8875⩚⊴⇥⋋%⋟1512⨻⩈⩔⋋%⋟2543","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":122,"operation_count":3,"complexity_ratio":40.666666666666664,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":1713,"base":9},"right_expr":{"type":"numeric_atoms","value":6548,"base":9}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":1145,"base":9},"right_expr":{"type":"numeric_atoms","value":1902,"base":9}}},"used_operators":["NTOWxs364D","KPf6cnQVty","nEsXyWgiOK"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG"],"result":"⋋%⋟-128","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1713","layer":2},{"info":"number node, value=6548","layer":2},{"info":"compute binary expreesion, left_input=1713, right_input=6548, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":1},{"info":"number node, value=1145","layer":2},{"info":"number node, value=1902","layer":2},{"info":"compute binary expreesion, left_input=1145, right_input=1902, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=-174, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-107","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟2313∺≝⩲⋋%⋟8875⩚⊴⇥⋋%⋟1512⨻⩈⩔⋋%⋟2543=⋋%⋟-128","reverse_text":"⋋%⋟-128=⋋%⋟2313∺≝⩲⋋%⋟8875⩚⊴⇥⋋%⋟1512⨻⩈⩔⋋%⋟2543","cot":[{"info":"⋋%⋟2313∺≝⩲⋋%⋟8875=⋋%⋟187","layer":1},{"info":"⋋%⋟1512⨻⩈⩔⋋%⋟2543=⋋%⋟-213","layer":1},{"info":"⋋%⋟187⩚⊴⇥⋋%⋟-213=⋋%⋟-128","layer":0}]}
+{"id":101,"expression_no_base_symbol":"(↸⊣$3448$)↸$1900$⫸⇳$4914$","expression":"(↸⊣⋋%⋟4651)↸⋋%⋟2541⫸⇳⋋%⋟6660","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":28,"operation_count":3,"complexity_ratio":9.333333333333334,"tree":{"type":"binary","operator":"↸","left_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"numeric_atoms","value":3448,"base":9}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":1900,"base":9},"right_expr":{"type":"numeric_atoms","value":4914,"base":9}}},"used_operators":["1eCjFl0mb9","wztAlM01eG","gx7XJ7hdpj"],"dependent_operators":["9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL"],"result":"⋋%⋟-4302","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3448","layer":2},{"info":"compute unary expreesion, input=3448, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-3161","layer":1},{"info":"number node, value=1900","layer":2},{"info":"number node, value=4914","layer":2},{"info":"compute binary expreesion, left_input=1900, right_input=4914, 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=-3161, right_input=0, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=-3161","layer":0}],"base":9,"result_base":9,"text":"(↸⊣⋋%⋟4651)↸⋋%⋟2541⫸⇳⋋%⋟6660=⋋%⋟-4302","reverse_text":"⋋%⋟-4302=(↸⊣⋋%⋟4651)↸⋋%⋟2541⫸⇳⋋%⋟6660","cot":[{"info":"↸⊣⋋%⋟4651=⋋%⋟-4302","layer":1},{"info":"⋋%⋟2541⫸⇳⋋%⋟6660=⋋%⋟0","layer":1},{"info":"⋋%⋟-4302↸⋋%⋟0=⋋%⋟-4302","layer":0}]}
+{"id":102,"expression_no_base_symbol":"($1673$⪁$1219$)⩇∃⫛($1869$⫩)","expression":"(⋋%⋟2258⪁⋋%⋟1604)⩇∃⫛(⋋%⋟2506⫩)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":20046617,"operation_count":3,"complexity_ratio":6682205.666666667,"tree":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":1673,"base":9},"right_expr":{"type":"numeric_atoms","value":1219,"base":9}},"right_expr":{"type":"unary","operator":"⫩","unary_expr":{"type":"numeric_atoms","value":1869,"base":9}}},"used_operators":["1aApVXNlOP","I7sXao9hZE","6aG7x05OhS"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1673","layer":2},{"info":"number node, value=1219","layer":2},{"info":"compute binary expreesion, left_input=1673, right_input=1219, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":1},{"info":"number node, value=1869","layer":2},{"info":"compute unary expreesion, input=1869, op_id = 6aG7x05OhS, unary_op_definition = 'a⫩ = { (a⪢a) }', 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":9,"result_base":9,"text":"(⋋%⋟2258⪁⋋%⋟1604)⩇∃⫛(⋋%⋟2506⫩)=NaN","reverse_text":"NaN=(⋋%⋟2258⪁⋋%⋟1604)⩇∃⫛(⋋%⋟2506⫩)","cot":[{"info":"⋋%⋟2258⪁⋋%⋟1604=NaN","layer":1},{"info":"⋋%⋟2506⫩=NaN","layer":1},{"info":"NaN⩇∃⫛NaN=NaN","layer":0}]}
+{"id":103,"expression_no_base_symbol":"(⨴⫝$1429$)⊮⊟↴($8017$⩒⫫$4828$)","expression":"(⨴⫝⋋%⋟1857)⊮⊟↴(⋋%⋟11887⩒⫫⋋%⋟6554)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1885,"operation_count":3,"complexity_ratio":628.3333333333334,"tree":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"numeric_atoms","value":1429,"base":9}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":8017,"base":9},"right_expr":{"type":"numeric_atoms","value":4828,"base":9}}},"used_operators":["QDVgd2eftb","SVb2v531z1","KFSx94NKJn"],"dependent_operators":["XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP"],"result":"⋋%⋟0","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1429","layer":2},{"info":"compute unary expreesion, input=1429, 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":1},{"info":"number node, value=8017","layer":2},{"info":"number node, value=4828","layer":2},{"info":"compute binary expreesion, left_input=8017, right_input=4828, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=7715","layer":1},{"info":"compute binary expreesion, left_input=2828198, right_input=7715, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":0}],"base":9,"result_base":9,"text":"(⨴⫝⋋%⋟1857)⊮⊟↴(⋋%⋟11887⩒⫫⋋%⋟6554)=⋋%⋟0","reverse_text":"⋋%⋟0=(⨴⫝⋋%⋟1857)⊮⊟↴(⋋%⋟11887⩒⫫⋋%⋟6554)","cot":[{"info":"⨴⫝⋋%⋟1857=⋋%⋟5280502","layer":1},{"info":"⋋%⋟11887⩒⫫⋋%⋟6554=⋋%⋟11522","layer":1},{"info":"⋋%⋟5280502⊮⊟↴⋋%⋟11522=⋋%⋟0","layer":0}]}
+{"id":104,"expression_no_base_symbol":"$2169$⪛$1261$⊨($1096$⪨⊡$1114$)","expression":"⋋%⋟2870⪛⋋%⋟1651⊨(⋋%⋟1447⪨⊡⋋%⋟1467)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":26,"operation_count":3,"complexity_ratio":8.666666666666666,"tree":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2169,"base":9},"right_expr":{"type":"numeric_atoms","value":1261,"base":9}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":1096,"base":9},"right_expr":{"type":"numeric_atoms","value":1114,"base":9}}},"used_operators":["vg4gO5BX6G","uFcxV4UQCh","kuIXHzHcAH"],"dependent_operators":["NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP"],"result":"⋋%⋟6351","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=2169","layer":2},{"info":"number node, value=1261","layer":2},{"info":"compute binary expreesion, left_input=2169, right_input=1261, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=908","layer":1},{"info":"number node, value=1096","layer":2},{"info":"number node, value=1114","layer":2},{"info":"compute binary expreesion, left_input=1096, right_input=1114, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=908, right_input=0, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=4663","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟2870⪛⋋%⋟1651⊨(⋋%⋟1447⪨⊡⋋%⋟1467)=⋋%⋟6351","reverse_text":"⋋%⋟6351=⋋%⋟2870⪛⋋%⋟1651⊨(⋋%⋟1447⪨⊡⋋%⋟1467)","cot":[{"info":"⋋%⋟2870⪛⋋%⋟1651=⋋%⋟1218","layer":1},{"info":"⋋%⋟1447⪨⊡⋋%⋟1467=⋋%⋟0","layer":1},{"info":"⋋%⋟1218⊨⋋%⋟0=⋋%⋟6351","layer":0}]}
+{"id":105,"expression_no_base_symbol":"(∡$2377$)∳⫺($1259$⩨$4286$)","expression":"(∡⋋%⋟3231)∳⫺(⋋%⋟1648⩨⋋%⋟5782)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":55,"operation_count":3,"complexity_ratio":18.333333333333332,"tree":{"type":"binary","operator":"∳⫺","left_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"numeric_atoms","value":2377,"base":9}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1259,"base":9},"right_expr":{"type":"numeric_atoms","value":4286,"base":9}}},"used_operators":["AzXXKTstlj","pRsWfj4Fpp","2DlMacCsIx"],"dependent_operators":["F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"⋋%⋟-13835","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2377","layer":2},{"info":"compute unary expreesion, input=2377, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=-2377","layer":1},{"info":"number node, value=1259","layer":2},{"info":"number node, value=4286","layer":2},{"info":"compute binary expreesion, left_input=1259, right_input=4286, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-9","layer":1},{"info":"compute binary expreesion, left_input=-2377, right_input=-9, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-9428","layer":0}],"base":9,"result_base":9,"text":"(∡⋋%⋟3231)∳⫺(⋋%⋟1648⩨⋋%⋟5782)=⋋%⋟-13835","reverse_text":"⋋%⋟-13835=(∡⋋%⋟3231)∳⫺(⋋%⋟1648⩨⋋%⋟5782)","cot":[{"info":"∡⋋%⋟3231=⋋%⋟-3231","layer":1},{"info":"⋋%⋟1648⩨⋋%⋟5782=⋋%⋟-10","layer":1},{"info":"⋋%⋟-3231∳⫺⋋%⋟-10=⋋%⋟-13835","layer":0}]}
+{"id":106,"expression_no_base_symbol":"($2416$⪁$1738$)↳∿⪆$3186$⪝$1802$","expression":"(⋋%⋟3274⪁⋋%⋟2341)↳∿⪆⋋%⋟4330⪝⋋%⋟2422","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":38306523,"operation_count":3,"complexity_ratio":12768841.0,"tree":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":2416,"base":9},"right_expr":{"type":"numeric_atoms","value":1738,"base":9}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":3186,"base":9},"right_expr":{"type":"numeric_atoms","value":1802,"base":9}}},"used_operators":["Cw4SuJJGHO","I7sXao9hZE","wicAB68Tmb"],"dependent_operators":["hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2416","layer":2},{"info":"number node, value=1738","layer":2},{"info":"compute binary expreesion, left_input=2416, right_input=1738, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":1},{"info":"number node, value=3186","layer":2},{"info":"number node, value=1802","layer":2},{"info":"compute binary expreesion, left_input=3186, right_input=1802, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-5935","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-5935, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟3274⪁⋋%⋟2341)↳∿⪆⋋%⋟4330⪝⋋%⋟2422=NaN","reverse_text":"NaN=(⋋%⋟3274⪁⋋%⋟2341)↳∿⪆⋋%⋟4330⪝⋋%⋟2422","cot":[{"info":"⋋%⋟3274⪁⋋%⋟2341=NaN","layer":1},{"info":"⋋%⋟4330⪝⋋%⋟2422=⋋%⋟-8124","layer":1},{"info":"NaN↳∿⪆⋋%⋟-8124=NaN","layer":0}]}
+{"id":107,"expression_no_base_symbol":"$7100$⩍⋽⫝̸$2403$⊠≄⫣","expression":"⋋%⋟10658⩍⋽⫝̸⋋%⋟3260⊠≄⫣","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":7,"operation_count":2,"complexity_ratio":3.5,"tree":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":7100,"base":9},"right_expr":{"type":"numeric_atoms","value":2403,"base":9}}},"used_operators":["DIvbN7qnHd","BiWNJpBvwn"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","Ph9nP6C5qx","xUOZtlo3hN"],"result":"⋋%⋟0","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=7100","layer":2},{"info":"number node, value=2403","layer":2},{"info":"compute binary expreesion, left_input=7100, right_input=2403, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=1457","layer":1},{"info":"compute unary expreesion, input=1457, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟10658⩍⋽⫝̸⋋%⋟3260⊠≄⫣=⋋%⋟0","reverse_text":"⋋%⋟0=⋋%⋟10658⩍⋽⫝̸⋋%⋟3260⊠≄⫣","cot":[{"info":"⋋%⋟10658⩍⋽⫝̸⋋%⋟3260=⋋%⋟1888","layer":1},{"info":"⋋%⋟1888⊠≄⫣=⋋%⋟0","layer":0}]}
+{"id":108,"expression_no_base_symbol":"($3537$⪇≇⋚$4035$)⨽∌($1133$⪄$1401$)","expression":"(⋋%⋟4760⪇≇⋚⋋%⋟5473)⨽∌(⋋%⋟1488⪄⋋%⋟1826)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1299,"operation_count":3,"complexity_ratio":433.0,"tree":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":3537,"base":9},"right_expr":{"type":"numeric_atoms","value":4035,"base":9}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1133,"base":9},"right_expr":{"type":"numeric_atoms","value":1401,"base":9}}},"used_operators":["9samAPKr6k","3sJ7IOPOlU","SUmda5xLS4"],"dependent_operators":["YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"⋋%⋟0","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3537","layer":2},{"info":"number node, value=4035","layer":2},{"info":"compute binary expreesion, left_input=3537, right_input=4035, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":1},{"info":"number node, value=1133","layer":2},{"info":"number node, value=1401","layer":2},{"info":"compute binary expreesion, left_input=1133, right_input=1401, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-169377","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-169377, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟4760⪇≇⋚⋋%⋟5473)⨽∌(⋋%⋟1488⪄⋋%⋟1826)=⋋%⋟0","reverse_text":"⋋%⋟0=(⋋%⋟4760⪇≇⋚⋋%⋟5473)⨽∌(⋋%⋟1488⪄⋋%⋟1826)","cot":[{"info":"⋋%⋟4760⪇≇⋚⋋%⋟5473=⋋%⋟0","layer":1},{"info":"⋋%⋟1488⪄⋋%⋟1826=⋋%⋟-277306","layer":1},{"info":"⋋%⋟0⨽∌⋋%⋟-277306=⋋%⋟0","layer":0}]}
+{"id":109,"expression_no_base_symbol":"(↥≼⋛$1488$)⫿","expression":"(↥≼⋛⋋%⋟2033)⫿","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":12,"operation_count":2,"complexity_ratio":6.0,"tree":{"type":"unary","operator":"⫿","unary_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"numeric_atoms","value":1488,"base":9}}},"used_operators":["9tKT6PmtkH","x5lMkHmzsq"],"dependent_operators":["DpFCA1CohY","9ICcGScMcE","f6k1SAg4EE","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx"],"result":"⋋%⋟271","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1488","layer":2},{"info":"compute unary expreesion, input=1488, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-113","layer":1},{"info":"compute unary expreesion, input=-113, op_id = 9tKT6PmtkH, unary_op_definition = 'a⫿ = { (≦∁a) , if (⋗⩬⋾a)<1 ; (a⪒a) , else }', output=226","layer":0}],"base":9,"result_base":9,"text":"(↥≼⋛⋋%⋟2033)⫿=⋋%⋟271","reverse_text":"⋋%⋟271=(↥≼⋛⋋%⋟2033)⫿","cot":[{"info":"↥≼⋛⋋%⋟2033=⋋%⋟-135","layer":1},{"info":"⋋%⋟-135⫿=⋋%⋟271","layer":0}]}
+{"id":110,"expression_no_base_symbol":"⩪∧⨌($7888$∲⫓$1353$)","expression":"⩪∧⨌(⋋%⋟11734∲⫓⋋%⋟1763)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":10,"operation_count":2,"complexity_ratio":5.0,"tree":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":7888,"base":9},"right_expr":{"type":"numeric_atoms","value":1353,"base":9}}},"used_operators":["6iOiAJX1F8","i8ToyICDmI"],"dependent_operators":["P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","W4YGzv6Whe","t8gj7n24qd"],"result":"⋋%⋟0","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=7888","layer":2},{"info":"number node, value=1353","layer":2},{"info":"compute binary expreesion, left_input=7888, right_input=1353, 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 = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=0","layer":0}],"base":9,"result_base":9,"text":"⩪∧⨌(⋋%⋟11734∲⫓⋋%⋟1763)=⋋%⋟0","reverse_text":"⋋%⋟0=⩪∧⨌(⋋%⋟11734∲⫓⋋%⋟1763)","cot":[{"info":"⋋%⋟11734∲⫓⋋%⋟1763=⋋%⋟0","layer":1},{"info":"⩪∧⨌⋋%⋟0=⋋%⋟0","layer":0}]}
+{"id":111,"expression_no_base_symbol":"⊊≼∋($4113$⪡$3498$)","expression":"⊊≼∋(⋋%⋟5570⪡⋋%⋟4716)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":153,"operation_count":2,"complexity_ratio":76.5,"tree":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":4113,"base":9},"right_expr":{"type":"numeric_atoms","value":3498,"base":9}}},"used_operators":["FWz7pXsQhA","oraRL2iQuh"],"dependent_operators":["B5M0gjZbta","jCPkEVoL5K","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R"],"result":"⋋%⋟-546","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=4113","layer":2},{"info":"number node, value=3498","layer":2},{"info":"compute binary expreesion, left_input=4113, right_input=3498, 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 = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=-447","layer":0}],"base":9,"result_base":9,"text":"⊊≼∋(⋋%⋟5570⪡⋋%⋟4716)=⋋%⋟-546","reverse_text":"⋋%⋟-546=⊊≼∋(⋋%⋟5570⪡⋋%⋟4716)","cot":[{"info":"⋋%⋟5570⪡⋋%⋟4716=⋋%⋟128","layer":1},{"info":"⊊≼∋⋋%⋟128=⋋%⋟-546","layer":0}]}
+{"id":112,"expression_no_base_symbol":"⋗⩴⪓($7030$⩁)","expression":"⋗⩴⪓(⋋%⋟10571⩁)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":53,"operation_count":2,"complexity_ratio":26.5,"tree":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"unary","operator":"⩁","unary_expr":{"type":"numeric_atoms","value":7030,"base":9}}},"used_operators":["nOKPl9n5zu","5GqDbVmqXU"],"dependent_operators":["Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","7j4O788W3g","jLgFTUHLKL","8cLx32lpNA"],"result":"⋋%⋟358831","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=7030","layer":2},{"info":"compute unary expreesion, input=7030, op_id = 5GqDbVmqXU, unary_op_definition = 'a⩁ = { ((↩a)∌(a↺a)) }', output=-53460","layer":1},{"info":"compute unary expreesion, input=-53460, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=216460","layer":0}],"base":9,"result_base":9,"text":"⋗⩴⪓(⋋%⋟10571⩁)=⋋%⋟358831","reverse_text":"⋋%⋟358831=⋗⩴⪓(⋋%⋟10571⩁)","cot":[{"info":"⋋%⋟10571⩁=⋋%⋟-81300","layer":1},{"info":"⋗⩴⪓⋋%⋟-81300=⋋%⋟358831","layer":0}]}
+{"id":113,"expression_no_base_symbol":"(⇜$3728$)⋳⪒$3189$⩇∃⫛$4793$","expression":"(⇜⋋%⋟5102)⋳⪒⋋%⋟4333⩇∃⫛⋋%⋟6515","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":339,"operation_count":3,"complexity_ratio":113.0,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"numeric_atoms","value":3728,"base":9}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":3189,"base":9},"right_expr":{"type":"numeric_atoms","value":4793,"base":9}}},"used_operators":["12rbrZMWeM","lFBm8KRb8F","1aApVXNlOP"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG"],"result":"⋋%⋟-105158","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3728","layer":2},{"info":"compute unary expreesion, input=3728, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-30232","layer":1},{"info":"number node, value=3189","layer":2},{"info":"number node, value=4793","layer":2},{"info":"compute binary expreesion, left_input=3189, right_input=4793, 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=2077","layer":1},{"info":"compute binary expreesion, left_input=-30232, right_input=2077, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-62828","layer":0}],"base":9,"result_base":9,"text":"(⇜⋋%⋟5102)⋳⪒⋋%⋟4333⩇∃⫛⋋%⋟6515=⋋%⋟-105158","reverse_text":"⋋%⋟-105158=(⇜⋋%⋟5102)⋳⪒⋋%⋟4333⩇∃⫛⋋%⋟6515","cot":[{"info":"⇜⋋%⋟5102=⋋%⋟-45421","layer":1},{"info":"⋋%⋟4333⩇∃⫛⋋%⋟6515=⋋%⋟2757","layer":1},{"info":"⋋%⋟-45421⋳⪒⋋%⋟2757=⋋%⋟-105158","layer":0}]}
+{"id":114,"expression_no_base_symbol":"($1154$⫌⩹⨱)⪭$2559$⨚$2468$","expression":"(⋋%⋟1522⫌⩹⨱)⪭⋋%⋟3453⨚⋋%⋟3342","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":29,"operation_count":3,"complexity_ratio":9.666666666666666,"tree":{"type":"binary","operator":"⪭","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":1154,"base":9}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":2559,"base":9},"right_expr":{"type":"numeric_atoms","value":2468,"base":9}}},"used_operators":["j9kHMeSvPp","EBcxylXtPf","nREPSIbpBE"],"dependent_operators":["COABgblf1C","xUOZtlo3hN","W4YGzv6Whe","rysDP5nf3Z","BjRHVeLaeN","12rbrZMWeM"],"result":"⋋%⋟5","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1154","layer":2},{"info":"compute unary expreesion, input=1154, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=3709","layer":1},{"info":"number node, value=2559","layer":2},{"info":"number node, value=2468","layer":2},{"info":"compute binary expreesion, left_input=2559, right_input=2468, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-3820","layer":1},{"info":"compute binary expreesion, left_input=3709, right_input=-3820, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟1522⫌⩹⨱)⪭⋋%⋟3453⨚⋋%⋟3342=⋋%⋟5","reverse_text":"⋋%⋟5=(⋋%⋟1522⫌⩹⨱)⪭⋋%⋟3453⨚⋋%⋟3342","cot":[{"info":"⋋%⋟1522⫌⩹⨱=⋋%⋟5071","layer":1},{"info":"⋋%⋟3453⨚⋋%⋟3342=⋋%⋟-5214","layer":1},{"info":"⋋%⋟5071⪭⋋%⋟-5214=⋋%⋟5","layer":0}]}
+{"id":115,"expression_no_base_symbol":"⩏⊷≩($5721$⫔⩽⩺$1326$)","expression":"⩏⊷≩(⋋%⋟7756⫔⩽⩺⋋%⋟1733)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":46,"operation_count":2,"complexity_ratio":23.0,"tree":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":5721,"base":9},"right_expr":{"type":"numeric_atoms","value":1326,"base":9}}},"used_operators":["uOZ1tnYMDE","i9eR4S00cU"],"dependent_operators":["23Mk6UjR3U","12rbrZMWeM","Tw270M8GLb","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=5721","layer":2},{"info":"number node, value=1326","layer":2},{"info":"compute binary expreesion, left_input=5721, right_input=1326, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"⩏⊷≩(⋋%⋟7756⫔⩽⩺⋋%⋟1733)=NaN","reverse_text":"NaN=⩏⊷≩(⋋%⋟7756⫔⩽⩺⋋%⋟1733)","cot":[{"info":"⋋%⋟7756⫔⩽⩺⋋%⋟1733=NaN","layer":1},{"info":"⩏⊷≩NaN=NaN","layer":0}]}
+{"id":116,"expression_no_base_symbol":"(↸⊣$3641$)⨐(⩒∊$2651$)","expression":"(↸⊣⋋%⋟4885)⨐(⩒∊⋋%⋟3565)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":26,"operation_count":3,"complexity_ratio":8.666666666666666,"tree":{"type":"binary","operator":"⨐","left_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"numeric_atoms","value":3641,"base":9}},"right_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"numeric_atoms","value":2651,"base":9}}},"used_operators":["Noe24qw2ks","wztAlM01eG","qazvmhNBbN"],"dependent_operators":["u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6"],"result":"⋋%⋟10173","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3641","layer":2},{"info":"compute unary expreesion, input=3641, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-3354","layer":1},{"info":"number node, value=2651","layer":2},{"info":"compute unary expreesion, input=2651, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=4545","layer":1},{"info":"compute binary expreesion, left_input=-3354, right_input=4545, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=6708","layer":0}],"base":9,"result_base":9,"text":"(↸⊣⋋%⋟4885)⨐(⩒∊⋋%⋟3565)=⋋%⋟10173","reverse_text":"⋋%⋟10173=(↸⊣⋋%⋟4885)⨐(⩒∊⋋%⋟3565)","cot":[{"info":"↸⊣⋋%⋟4885=⋋%⋟-4536","layer":1},{"info":"⩒∊⋋%⋟3565=⋋%⋟6210","layer":1},{"info":"⋋%⋟-4536⨐⋋%⋟6210=⋋%⋟10173","layer":0}]}
+{"id":117,"expression_no_base_symbol":"⇾⩊⇾(∓⪦$2352$)","expression":"⇾⩊⇾(∓⪦⋋%⋟3203)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":40,"operation_count":2,"complexity_ratio":20.0,"tree":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"numeric_atoms","value":2352,"base":9}}},"used_operators":["bx9Z9DAK5y","D309nIvmXG"],"dependent_operators":["W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL"],"result":"⋋%⋟-35806","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2352","layer":2},{"info":"compute unary expreesion, input=2352, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=1944","layer":1},{"info":"compute unary expreesion, input=1944, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-23982","layer":0}],"base":9,"result_base":9,"text":"⇾⩊⇾(∓⪦⋋%⋟3203)=⋋%⋟-35806","reverse_text":"⋋%⋟-35806=⇾⩊⇾(∓⪦⋋%⋟3203)","cot":[{"info":"∓⪦⋋%⋟3203=⋋%⋟2600","layer":1},{"info":"⇾⩊⇾⋋%⋟2600=⋋%⋟-35806","layer":0}]}
+{"id":118,"expression_no_base_symbol":"⪹(⨰⫟⨤$2956$)","expression":"⪹(⨰⫟⨤⋋%⋟4044)","highest_n_order":3,"priority_hierarchical_complexity":1,"normalized_expansion_degree":10986,"operation_count":2,"complexity_ratio":5493.0,"tree":{"type":"unary","operator":"⪹","unary_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":2956,"base":9}}},"used_operators":["USyYr0JgAa","Tw270M8GLb"],"dependent_operators":["tifHPKVTfV","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=2956","layer":2},{"info":"compute unary expreesion, input=2956, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒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":9,"result_base":9,"text":"⪹(⨰⫟⨤⋋%⋟4044)=NaN","reverse_text":"NaN=⪹(⨰⫟⨤⋋%⋟4044)","cot":[{"info":"⨰⫟⨤⋋%⋟4044=NaN","layer":1},{"info":"⪹NaN=NaN","layer":0}]}
+{"id":119,"expression_no_base_symbol":"⫟(↔$1325$)","expression":"⫟(↔⋋%⋟1732)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":21,"operation_count":2,"complexity_ratio":10.5,"tree":{"type":"unary","operator":"⫟","unary_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1325,"base":9}}},"used_operators":["z4E1FaHLuy","ruOEQAzv1W"],"dependent_operators":["9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"⋋%⋟1104","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1325","layer":2},{"info":"compute unary expreesion, input=1325, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1052","layer":1},{"info":"compute unary expreesion, input=-1052, 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=814","layer":0}],"base":9,"result_base":9,"text":"⫟(↔⋋%⋟1732)=⋋%⋟1104","reverse_text":"⋋%⋟1104=⫟(↔⋋%⋟1732)","cot":[{"info":"↔⋋%⋟1732=⋋%⋟-1388","layer":1},{"info":"⫟⋋%⋟-1388=⋋%⋟1104","layer":0}]}
+{"id":120,"expression_no_base_symbol":"$5108$∣$6016$⊹∫⫚($4212$≋⫹)","expression":"⋋%⋟7005∣⋋%⋟8224⊹∫⫚(⋋%⋟5700≋⫹)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":97,"operation_count":3,"complexity_ratio":32.333333333333336,"tree":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":5108,"base":9},"right_expr":{"type":"numeric_atoms","value":6016,"base":9}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":4212,"base":9}}},"used_operators":["uWAJUKEvyW","PPChnnnBFF","N41Kp7NANJ"],"dependent_operators":["BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd"],"result":"⋋%⋟-40","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=5108","layer":2},{"info":"number node, value=6016","layer":2},{"info":"compute binary expreesion, left_input=5108, right_input=6016, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=5108","layer":1},{"info":"number node, value=4212","layer":2},{"info":"compute unary expreesion, input=4212, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-8424","layer":1},{"info":"compute binary expreesion, left_input=5108, right_input=-8424, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-36","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟7005∣⋋%⋟8224⊹∫⫚(⋋%⋟5700≋⫹)=⋋%⋟-40","reverse_text":"⋋%⋟-40=⋋%⋟7005∣⋋%⋟8224⊹∫⫚(⋋%⋟5700≋⫹)","cot":[{"info":"⋋%⋟7005∣⋋%⋟8224=⋋%⋟7005","layer":1},{"info":"⋋%⋟5700≋⫹=⋋%⋟-12500","layer":1},{"info":"⋋%⋟7005⊹∫⫚⋋%⋟-12500=⋋%⋟-40","layer":0}]}
+{"id":121,"expression_no_base_symbol":"($4368$≄⊠$1524$)⊉↱≁(⫶⊄≣$1524$)","expression":"(⋋%⋟5883≄⊠⋋%⋟2073)⊉↱≁(⫶⊄≣⋋%⋟2073)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1633,"operation_count":3,"complexity_ratio":544.3333333333334,"tree":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":4368,"base":9},"right_expr":{"type":"numeric_atoms","value":1524,"base":9}},"right_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"numeric_atoms","value":1524,"base":9}}},"used_operators":["w2P8NbNXyL","vXNesLlMH1","wxb3vTeyAj"],"dependent_operators":["9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI"],"result":"⋋%⋟-573645774","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=4368","layer":2},{"info":"number node, value=1524","layer":2},{"info":"compute binary expreesion, left_input=4368, right_input=1524, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=29052","layer":1},{"info":"number node, value=1524","layer":2},{"info":"compute unary expreesion, input=1524, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=41830489","layer":1},{"info":"compute binary expreesion, left_input=29052, right_input=41830489, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-250693528","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟5883≄⊠⋋%⋟2073)⊉↱≁(⫶⊄≣⋋%⋟2073)=⋋%⋟-573645774","reverse_text":"⋋%⋟-573645774=(⋋%⋟5883≄⊠⋋%⋟2073)⊉↱≁(⫶⊄≣⋋%⋟2073)","cot":[{"info":"⋋%⋟5883≄⊠⋋%⋟2073=⋋%⋟43760","layer":1},{"info":"⫶⊄≣⋋%⋟2073=⋋%⋟86635571","layer":1},{"info":"⋋%⋟43760⊉↱≁⋋%⋟86635571=⋋%⋟-573645774","layer":0}]}
+{"id":122,"expression_no_base_symbol":"($5051$∖$1223$)⪍↜⋙$1016$⫯⪬∳$7360$","expression":"(⋋%⋟6832∖⋋%⋟1608)⪍↜⋙⋋%⋟1348⫯⪬∳⋋%⋟11077","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":311,"operation_count":3,"complexity_ratio":103.66666666666667,"tree":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":5051,"base":9},"right_expr":{"type":"numeric_atoms","value":1223,"base":9}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":1016,"base":9},"right_expr":{"type":"numeric_atoms","value":7360,"base":9}}},"used_operators":["L05ObWFQCd","tXD093vOjl","d7ASUq0ydm"],"dependent_operators":["rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2"],"result":"⋋%⋟6143","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=5051","layer":2},{"info":"number node, value=1223","layer":2},{"info":"compute binary expreesion, left_input=5051, right_input=1223, 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":"number node, value=1016","layer":2},{"info":"number node, value=7360","layer":2},{"info":"compute binary expreesion, left_input=1016, right_input=7360, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=-2247","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-2247, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=4494","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟6832∖⋋%⋟1608)⪍↜⋙⋋%⋟1348⫯⪬∳⋋%⋟11077=⋋%⋟6143","reverse_text":"⋋%⋟6143=(⋋%⋟6832∖⋋%⋟1608)⪍↜⋙⋋%⋟1348⫯⪬∳⋋%⋟11077","cot":[{"info":"⋋%⋟6832∖⋋%⋟1608=⋋%⋟0","layer":1},{"info":"⋋%⋟1348⫯⪬∳⋋%⋟11077=⋋%⋟-3066","layer":1},{"info":"⋋%⋟0⪍↜⋙⋋%⋟-3066=⋋%⋟6143","layer":0}]}
+{"id":123,"expression_no_base_symbol":"$2819$⩦$1979$↳∿⪆($6624$⊭↱$2356$)","expression":"⋋%⋟3772⩦⋋%⋟2638↳∿⪆(⋋%⋟10070⊭↱⋋%⋟3207)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2550,"operation_count":3,"complexity_ratio":850.0,"tree":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":2819,"base":9},"right_expr":{"type":"numeric_atoms","value":1979,"base":9}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":6624,"base":9},"right_expr":{"type":"numeric_atoms","value":2356,"base":9}}},"used_operators":["Cw4SuJJGHO","0kmYd0q39Y","COABgblf1C"],"dependent_operators":["hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2819","layer":2},{"info":"number node, value=1979","layer":2},{"info":"compute binary expreesion, left_input=2819, right_input=1979, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=5638","layer":1},{"info":"number node, value=6624","layer":2},{"info":"number node, value=2356","layer":2},{"info":"compute binary expreesion, left_input=6624, right_input=2356, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-8531","layer":1},{"info":"compute binary expreesion, left_input=5638, right_input=-8531, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟3772⩦⋋%⋟2638↳∿⪆(⋋%⋟10070⊭↱⋋%⋟3207)=NaN","reverse_text":"NaN=⋋%⋟3772⩦⋋%⋟2638↳∿⪆(⋋%⋟10070⊭↱⋋%⋟3207)","cot":[{"info":"⋋%⋟3772⩦⋋%⋟2638=⋋%⋟7654","layer":1},{"info":"⋋%⋟10070⊭↱⋋%⋟3207=⋋%⋟-12628","layer":1},{"info":"⋋%⋟7654↳∿⪆⋋%⋟-12628=NaN","layer":0}]}
+{"id":124,"expression_no_base_symbol":"⨵($5801$∝$1582$)","expression":"⨵(⋋%⋟7855∝⋋%⋟2147)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":63,"operation_count":2,"complexity_ratio":31.5,"tree":{"type":"unary","operator":"⨵","unary_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":5801,"base":9},"right_expr":{"type":"numeric_atoms","value":1582,"base":9}}},"used_operators":["Tl3Y52tvF8","cTDWOvIxvz"],"dependent_operators":["gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","7j4O788W3g","W4YGzv6Whe","COABgblf1C"],"result":"⋋%⋟-72332","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=5801","layer":2},{"info":"number node, value=1582","layer":2},{"info":"compute binary expreesion, left_input=5801, right_input=1582, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=5806","layer":1},{"info":"compute unary expreesion, input=5806, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=-47657","layer":0}],"base":9,"result_base":9,"text":"⨵(⋋%⋟7855∝⋋%⋟2147)=⋋%⋟-72332","reverse_text":"⋋%⋟-72332=⨵(⋋%⋟7855∝⋋%⋟2147)","cot":[{"info":"⋋%⋟7855∝⋋%⋟2147=⋋%⋟7861","layer":1},{"info":"⨵⋋%⋟7861=⋋%⋟-72332","layer":0}]}
+{"id":125,"expression_no_base_symbol":"⨈⫕(≦∁$4623$)","expression":"⨈⫕(≦∁⋋%⋟6306)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":387,"operation_count":2,"complexity_ratio":193.5,"tree":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":4623,"base":9}}},"used_operators":["megm06wKyl","9ICcGScMcE"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"⋋%⋟-23","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=4623","layer":2},{"info":"compute unary expreesion, input=4623, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=4623","layer":1},{"info":"compute unary expreesion, input=4623, 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":9,"result_base":9,"text":"⨈⫕(≦∁⋋%⋟6306)=⋋%⋟-23","reverse_text":"⋋%⋟-23=⨈⫕(≦∁⋋%⋟6306)","cot":[{"info":"≦∁⋋%⋟6306=⋋%⋟6306","layer":1},{"info":"⨈⫕⋋%⋟6306=⋋%⋟-23","layer":0}]}
+{"id":126,"expression_no_base_symbol":"$1925$⪕$4360$⩺⪪$9279$≁↽≥$1226$","expression":"⋋%⋟2568⪕⋋%⋟5874⩺⪪⋋%⋟13650≁↽≥⋋%⋟1612","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":162,"operation_count":3,"complexity_ratio":54.0,"tree":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":1925,"base":9},"right_expr":{"type":"numeric_atoms","value":4360,"base":9}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":9279,"base":9},"right_expr":{"type":"numeric_atoms","value":1226,"base":9}}},"used_operators":["uvdQJvN4PV","umQnsF7QlU","ncHt1X6cMc"],"dependent_operators":["Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","oWn0xqSxBt","3Oe9XWJUTD"],"result":"⋋%⋟-3768576","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1925","layer":2},{"info":"number node, value=4360","layer":2},{"info":"compute binary expreesion, left_input=1925, right_input=4360, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=391","layer":1},{"info":"number node, value=9279","layer":2},{"info":"number node, value=1226","layer":2},{"info":"compute binary expreesion, left_input=9279, right_input=1226, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=128019","layer":1},{"info":"compute binary expreesion, left_input=391, right_input=128019, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-2053338","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟2568⪕⋋%⋟5874⩺⪪⋋%⋟13650≁↽≥⋋%⋟1612=⋋%⋟-3768576","reverse_text":"⋋%⋟-3768576=⋋%⋟2568⪕⋋%⋟5874⩺⪪⋋%⋟13650≁↽≥⋋%⋟1612","cot":[{"info":"⋋%⋟2568⪕⋋%⋟5874=⋋%⋟474","layer":1},{"info":"⋋%⋟13650≁↽≥⋋%⋟1612=⋋%⋟214543","layer":1},{"info":"⋋%⋟474⩺⪪⋋%⋟214543=⋋%⋟-3768576","layer":0}]}
+{"id":127,"expression_no_base_symbol":"$2261$⨫⇇↔$1188$⨔≚≋$1250$⨸$6956$","expression":"⋋%⋟3082⨫⇇↔⋋%⋟1560⨔≚≋⋋%⋟1638⨸⋋%⋟10478","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1415,"operation_count":3,"complexity_ratio":471.6666666666667,"tree":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":2261,"base":9},"right_expr":{"type":"numeric_atoms","value":1188,"base":9}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":1250,"base":9},"right_expr":{"type":"numeric_atoms","value":6956,"base":9}}},"used_operators":["Z57zeUYC9z","LXhwmt4mBO","KmoU8R5UQR"],"dependent_operators":["zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl"],"result":"⋋%⋟-21580","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2261","layer":2},{"info":"number node, value=1188","layer":2},{"info":"compute binary expreesion, left_input=2261, right_input=1188, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":1},{"info":"number node, value=1250","layer":2},{"info":"number node, value=6956","layer":2},{"info":"compute binary expreesion, left_input=1250, right_input=6956, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=2500","layer":1},{"info":"compute binary expreesion, left_input=-527, right_input=2500, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=-14328","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟3082⨫⇇↔⋋%⋟1560⨔≚≋⋋%⋟1638⨸⋋%⋟10478=⋋%⋟-21580","reverse_text":"⋋%⋟-21580=⋋%⋟3082⨫⇇↔⋋%⋟1560⨔≚≋⋋%⋟1638⨸⋋%⋟10478","cot":[{"info":"⋋%⋟3082⨫⇇↔⋋%⋟1560=⋋%⋟-645","layer":1},{"info":"⋋%⋟1638⨸⋋%⋟10478=⋋%⋟3377","layer":1},{"info":"⋋%⋟-645⨔≚≋⋋%⋟3377=⋋%⋟-21580","layer":0}]}
+{"id":128,"expression_no_base_symbol":"⩒∊($1016$⋓$4013$)","expression":"⩒∊(⋋%⋟1348⋓⋋%⋟5448)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":24,"operation_count":2,"complexity_ratio":12.0,"tree":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1016,"base":9},"right_expr":{"type":"numeric_atoms","value":4013,"base":9}}},"used_operators":["qazvmhNBbN","T2fj7uvVaJ"],"dependent_operators":["AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"⋋%⋟-1664","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1016","layer":2},{"info":"number node, value=4013","layer":2},{"info":"compute binary expreesion, left_input=1016, right_input=4013, 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 = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=-1273","layer":0}],"base":9,"result_base":9,"text":"⩒∊(⋋%⋟1348⋓⋋%⋟5448)=⋋%⋟-1664","reverse_text":"⋋%⋟-1664=⩒∊(⋋%⋟1348⋓⋋%⋟5448)","cot":[{"info":"⋋%⋟1348⋓⋋%⋟5448=⋋%⋟0","layer":1},{"info":"⩒∊⋋%⋟0=⋋%⋟-1664","layer":0}]}
+{"id":129,"expression_no_base_symbol":"($2435$⨔≚≋$2932$)≌($2526$⩵∡$3634$)","expression":"(⋋%⋟3305⨔≚≋⋋%⋟4017)≌(⋋%⋟3416⩵∡⋋%⋟4877)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1810,"operation_count":3,"complexity_ratio":603.3333333333334,"tree":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":2435,"base":9},"right_expr":{"type":"numeric_atoms","value":2932,"base":9}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":2526,"base":9},"right_expr":{"type":"numeric_atoms","value":3634,"base":9}}},"used_operators":["lyWz822IDG","Z57zeUYC9z","Y7wcNGrDQJ"],"dependent_operators":["B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","NTOWxs364D","glklzrTFfD","tifHPKVTfV"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2435","layer":2},{"info":"number node, value=2932","layer":2},{"info":"compute binary expreesion, left_input=2435, right_input=2932, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":1},{"info":"number node, value=2526","layer":2},{"info":"number node, value=3634","layer":2},{"info":"compute binary expreesion, left_input=2526, right_input=3634, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-1539","layer":1},{"info":"compute binary expreesion, left_input=9872, right_input=-1539, 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":9,"result_base":9,"text":"(⋋%⋟3305⨔≚≋⋋%⋟4017)≌(⋋%⋟3416⩵∡⋋%⋟4877)=NaN","reverse_text":"NaN=(⋋%⋟3305⨔≚≋⋋%⋟4017)≌(⋋%⋟3416⩵∡⋋%⋟4877)","cot":[{"info":"⋋%⋟3305⨔≚≋⋋%⋟4017=⋋%⋟14478","layer":1},{"info":"⋋%⋟3416⩵∡⋋%⋟4877=⋋%⋟-2100","layer":1},{"info":"⋋%⋟14478≌⋋%⋟-2100=NaN","layer":0}]}
+{"id":130,"expression_no_base_symbol":"$5447$⪛⫼$1320$⋷$3289$∘$4347$","expression":"⋋%⋟7422⪛⫼⋋%⋟1726⋷⋋%⋟4454∘⋋%⋟5860","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":188,"operation_count":3,"complexity_ratio":62.666666666666664,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":5447,"base":9},"right_expr":{"type":"numeric_atoms","value":1320,"base":9}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":3289,"base":9},"right_expr":{"type":"numeric_atoms","value":4347,"base":9}}},"used_operators":["23Mk6UjR3U","hyuBjUqXlG","Z5m6OM72h2"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","eH2TOUuTDT","rysDP5nf3Z"],"result":"⋋%⋟17642","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=5447","layer":2},{"info":"number node, value=1320","layer":2},{"info":"compute binary expreesion, left_input=5447, right_input=1320, 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":"number node, value=3289","layer":2},{"info":"number node, value=4347","layer":2},{"info":"compute binary expreesion, left_input=3289, right_input=4347, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=6578","layer":1},{"info":"compute binary expreesion, left_input=968, right_input=6578, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=12188","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟7422⪛⫼⋋%⋟1726⋷⋋%⋟4454∘⋋%⋟5860=⋋%⋟17642","reverse_text":"⋋%⋟17642=⋋%⋟7422⪛⫼⋋%⋟1726⋷⋋%⋟4454∘⋋%⋟5860","cot":[{"info":"⋋%⋟7422⪛⫼⋋%⋟1726=⋋%⋟1285","layer":1},{"info":"⋋%⋟4454∘⋋%⋟5860=⋋%⋟10018","layer":1},{"info":"⋋%⋟1285⋷⋋%⋟10018=⋋%⋟17642","layer":0}]}
+{"id":131,"expression_no_base_symbol":"(↣≠⋷$4571$)⩒⫫($1109$⨎$3714$)","expression":"(↣≠⋷⋋%⋟6238)⩒⫫(⋋%⋟1462⨎⋋%⋟5076)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":31,"operation_count":3,"complexity_ratio":10.333333333333334,"tree":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":4571,"base":9}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1109,"base":9},"right_expr":{"type":"numeric_atoms","value":3714,"base":9}}},"used_operators":["KFSx94NKJn","Asc51vEJeQ","rJVOvQCfKK"],"dependent_operators":["NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","XhwjNDsVaA","AHs5Up7iyr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=4571","layer":2},{"info":"compute unary expreesion, input=4571, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"number node, value=1109","layer":2},{"info":"number node, value=3714","layer":2},{"info":"compute binary expreesion, left_input=1109, right_input=3714, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3714","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=3714, 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":9,"result_base":9,"text":"(↣≠⋷⋋%⋟6238)⩒⫫(⋋%⋟1462⨎⋋%⋟5076)=NaN","reverse_text":"NaN=(↣≠⋷⋋%⋟6238)⩒⫫(⋋%⋟1462⨎⋋%⋟5076)","cot":[{"info":"↣≠⋷⋋%⋟6238=NaN","layer":1},{"info":"⋋%⋟1462⨎⋋%⋟5076=⋋%⋟5076","layer":1},{"info":"NaN⩒⫫⋋%⋟5076=NaN","layer":0}]}
+{"id":132,"expression_no_base_symbol":"⋂($2514$↱$1821$)","expression":"⋂(⋋%⋟3403↱⋋%⋟2443)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":62,"operation_count":2,"complexity_ratio":31.0,"tree":{"type":"unary","operator":"⋂","unary_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":2514,"base":9},"right_expr":{"type":"numeric_atoms","value":1821,"base":9}}},"used_operators":["BUOGQAYlQx","SR5kFfdi6N"],"dependent_operators":["NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe"],"result":"⋋%⋟115632","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2514","layer":2},{"info":"number node, value=1821","layer":2},{"info":"compute binary expreesion, left_input=2514, right_input=1821, 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=-4941","layer":1},{"info":"compute unary expreesion, input=-4941, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=69770","layer":0}],"base":9,"result_base":9,"text":"⋂(⋋%⋟3403↱⋋%⋟2443)=⋋%⋟115632","reverse_text":"⋋%⋟115632=⋂(⋋%⋟3403↱⋋%⋟2443)","cot":[{"info":"⋋%⋟3403↱⋋%⋟2443=⋋%⋟-6700","layer":1},{"info":"⋂⋋%⋟-6700=⋋%⋟115632","layer":0}]}
+{"id":133,"expression_no_base_symbol":"⊆⋠($5295$⪇≇⋚$4073$)","expression":"⊆⋠(⋋%⋟7233⪇≇⋚⋋%⋟5525)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":38,"operation_count":2,"complexity_ratio":19.0,"tree":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":5295,"base":9},"right_expr":{"type":"numeric_atoms","value":4073,"base":9}}},"used_operators":["EBhcHTkKd8","3sJ7IOPOlU"],"dependent_operators":["YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN"],"result":"⋋%⋟426","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=5295","layer":2},{"info":"number node, value=4073","layer":2},{"info":"compute binary expreesion, left_input=5295, right_input=4073, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=348","layer":0}],"base":9,"result_base":9,"text":"⊆⋠(⋋%⋟7233⪇≇⋚⋋%⋟5525)=⋋%⋟426","reverse_text":"⋋%⋟426=⊆⋠(⋋%⋟7233⪇≇⋚⋋%⋟5525)","cot":[{"info":"⋋%⋟7233⪇≇⋚⋋%⋟5525=⋋%⋟0","layer":1},{"info":"⊆⋠⋋%⋟0=⋋%⋟426","layer":0}]}
+{"id":134,"expression_no_base_symbol":"($2242$∌↝$2295$)⪒⊣⊆(⇁⨣⪵$1519$)","expression":"(⋋%⋟3061∌↝⋋%⋟3130)⪒⊣⊆(⇁⨣⪵⋋%⋟2067)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":23,"operation_count":3,"complexity_ratio":7.666666666666667,"tree":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":2242,"base":9},"right_expr":{"type":"numeric_atoms","value":2295,"base":9}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1519,"base":9}}},"used_operators":["eRqsBgTDFp","9Isq31Ruls","inkyxCbjAn"],"dependent_operators":["sdazOOVcIp","W4YGzv6Whe","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","B5M0gjZbta"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=2242","layer":2},{"info":"number node, value=2295","layer":2},{"info":"compute binary expreesion, left_input=2242, right_input=2295, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":1},{"info":"number node, value=1519","layer":2},{"info":"compute unary expreesion, input=1519, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟3061∌↝⋋%⋟3130)⪒⊣⊆(⇁⨣⪵⋋%⋟2067)=NaN","reverse_text":"NaN=(⋋%⋟3061∌↝⋋%⋟3130)⪒⊣⊆(⇁⨣⪵⋋%⋟2067)","cot":[{"info":"⋋%⋟3061∌↝⋋%⋟3130=⋋%⋟0","layer":1},{"info":"⇁⨣⪵⋋%⋟2067=NaN","layer":1},{"info":"⋋%⋟0⪒⊣⊆NaN=NaN","layer":0}]}
+{"id":135,"expression_no_base_symbol":"⨣⨃⇪($2617$+⇶⊼$1238$)","expression":"⨣⨃⇪(⋋%⋟3527+⇶⊼⋋%⋟1625)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":15,"operation_count":2,"complexity_ratio":7.5,"tree":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2617,"base":9},"right_expr":{"type":"numeric_atoms","value":1238,"base":9}}},"used_operators":["AcOhelriW5","TpPTUOHfaN"],"dependent_operators":["s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","AHs5Up7iyr"],"result":"⋋%⋟1831","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=2617","layer":2},{"info":"number node, value=1238","layer":2},{"info":"compute binary expreesion, left_input=2617, right_input=1238, 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 = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":0}],"base":9,"result_base":9,"text":"⨣⨃⇪(⋋%⋟3527+⇶⊼⋋%⋟1625)=⋋%⋟1831","reverse_text":"⋋%⋟1831=⨣⨃⇪(⋋%⋟3527+⇶⊼⋋%⋟1625)","cot":[{"info":"⋋%⋟3527+⇶⊼⋋%⋟1625=NaN","layer":1},{"info":"⨣⨃⇪NaN=⋋%⋟1831","layer":0}]}
+{"id":136,"expression_no_base_symbol":"⫎≠⋺($1631$∣$6066$)","expression":"⫎≠⋺(⋋%⋟2212∣⋋%⋟8280)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":16,"operation_count":2,"complexity_ratio":8.0,"tree":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":1631,"base":9},"right_expr":{"type":"numeric_atoms","value":6066,"base":9}}},"used_operators":["LYeZOJ0nQG","PPChnnnBFF"],"dependent_operators":["9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI"],"result":"⋋%⋟0","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1631","layer":2},{"info":"number node, value=6066","layer":2},{"info":"compute binary expreesion, left_input=1631, right_input=6066, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=1631","layer":1},{"info":"compute unary expreesion, input=1631, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=0","layer":0}],"base":9,"result_base":9,"text":"⫎≠⋺(⋋%⋟2212∣⋋%⋟8280)=⋋%⋟0","reverse_text":"⋋%⋟0=⫎≠⋺(⋋%⋟2212∣⋋%⋟8280)","cot":[{"info":"⋋%⋟2212∣⋋%⋟8280=⋋%⋟2212","layer":1},{"info":"⫎≠⋺⋋%⋟2212=⋋%⋟0","layer":0}]}
+{"id":137,"expression_no_base_symbol":"($1218$⪒$6451$)≓∲$2876$⩘$1893$","expression":"(⋋%⋟1603⪒⋋%⋟8757)≓∲⋋%⋟3845⩘⋋%⋟2533","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":426,"operation_count":3,"complexity_ratio":142.0,"tree":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1218,"base":9},"right_expr":{"type":"numeric_atoms","value":6451,"base":9}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":2876,"base":9},"right_expr":{"type":"numeric_atoms","value":1893,"base":9}}},"used_operators":["s1XTVnmDOJ","f6k1SAg4EE","cHh1gJQ2o6"],"dependent_operators":["HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","W4YGzv6Whe","t8gj7n24qd","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o"],"result":"⋋%⋟74","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1218","layer":2},{"info":"number node, value=6451","layer":2},{"info":"compute binary expreesion, left_input=1218, right_input=6451, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7669","layer":1},{"info":"number node, value=2876","layer":2},{"info":"number node, value=1893","layer":2},{"info":"compute binary expreesion, left_input=2876, right_input=1893, 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=-7669, right_input=160, 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":0}],"base":9,"result_base":9,"text":"(⋋%⋟1603⪒⋋%⋟8757)≓∲⋋%⋟3845⩘⋋%⋟2533=⋋%⋟74","reverse_text":"⋋%⋟74=(⋋%⋟1603⪒⋋%⋟8757)≓∲⋋%⋟3845⩘⋋%⋟2533","cot":[{"info":"⋋%⋟1603⪒⋋%⋟8757=⋋%⋟-11461","layer":1},{"info":"⋋%⋟3845⩘⋋%⋟2533=⋋%⋟187","layer":1},{"info":"⋋%⋟-11461≓∲⋋%⋟187=⋋%⋟74","layer":0}]}
+{"id":138,"expression_no_base_symbol":"(⇨$1257$)↙$4286$⪡$3843$","expression":"(⇨⋋%⋟1646)↙⋋%⋟5782⪡⋋%⋟5240","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":16,"operation_count":3,"complexity_ratio":5.333333333333333,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"numeric_atoms","value":1257,"base":9}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":4286,"base":9},"right_expr":{"type":"numeric_atoms","value":3843,"base":9}}},"used_operators":["yyfyN0ffXY","G9tJMlZ94a","oraRL2iQuh"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","k8jYdgA6NY","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R"],"result":"⋋%⋟0","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1257","layer":2},{"info":"compute unary expreesion, input=1257, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":1},{"info":"number node, value=4286","layer":2},{"info":"number node, value=3843","layer":2},{"info":"compute binary expreesion, left_input=4286, right_input=3843, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=107, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=0","layer":0}],"base":9,"result_base":9,"text":"(⇨⋋%⋟1646)↙⋋%⋟5782⪡⋋%⋟5240=⋋%⋟0","reverse_text":"⋋%⋟0=(⇨⋋%⋟1646)↙⋋%⋟5782⪡⋋%⋟5240","cot":[{"info":"⇨⋋%⋟1646=⋋%⋟0","layer":1},{"info":"⋋%⋟5782⪡⋋%⋟5240=⋋%⋟128","layer":1},{"info":"⋋%⋟0↙⋋%⋟128=⋋%⋟0","layer":0}]}
+{"id":139,"expression_no_base_symbol":"(⪸$4448$)≥⨤⩑$2092$⇻⋧≁$2355$","expression":"(⪸⋋%⋟6082)≥⨤⩑⋋%⋟2774⇻⋧≁⋋%⋟3206","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8435,"operation_count":3,"complexity_ratio":2811.6666666666665,"tree":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"numeric_atoms","value":4448,"base":9}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":2092,"base":9},"right_expr":{"type":"numeric_atoms","value":2355,"base":9}}},"used_operators":["gJLn6v0xnP","86A5ENbKR9","jCPkEVoL5K"],"dependent_operators":["mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=4448","layer":2},{"info":"compute unary expreesion, input=4448, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-75407","layer":1},{"info":"number node, value=2092","layer":2},{"info":"number node, value=2355","layer":2},{"info":"compute binary expreesion, left_input=2092, right_input=2355, 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=-75407, right_input=-447, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(⪸⋋%⋟6082)≥⨤⩑⋋%⋟2774⇻⋧≁⋋%⋟3206=NaN","reverse_text":"NaN=(⪸⋋%⋟6082)≥⨤⩑⋋%⋟2774⇻⋧≁⋋%⋟3206","cot":[{"info":"⪸⋋%⋟6082=⋋%⋟-124385","layer":1},{"info":"⋋%⋟2774⇻⋧≁⋋%⋟3206=⋋%⋟-546","layer":1},{"info":"⋋%⋟-124385≥⨤⩑⋋%⋟-546=NaN","layer":0}]}
+{"id":140,"expression_no_base_symbol":"(≔$2762$)≀⫉($4162$⩒⫫$1463$)","expression":"(≔⋋%⋟3708)≀⫉(⋋%⋟5634⩒⫫⋋%⋟2005)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":222,"operation_count":3,"complexity_ratio":74.0,"tree":{"type":"binary","operator":"≀⫉","left_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"numeric_atoms","value":2762,"base":9}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":4162,"base":9},"right_expr":{"type":"numeric_atoms","value":1463,"base":9}}},"used_operators":["oZj3VtZNQx","8FLs4eVsLt","KFSx94NKJn"],"dependent_operators":["9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP"],"result":"⋋%⋟3775","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2762","layer":2},{"info":"compute unary expreesion, input=2762, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-76042","layer":1},{"info":"number node, value=4162","layer":2},{"info":"number node, value=1463","layer":2},{"info":"compute binary expreesion, left_input=4162, right_input=1463, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=3860","layer":1},{"info":"compute binary expreesion, left_input=-76042, right_input=3860, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":0}],"base":9,"result_base":9,"text":"(≔⋋%⋟3708)≀⫉(⋋%⋟5634⩒⫫⋋%⋟2005)=⋋%⋟3775","reverse_text":"⋋%⋟3775=(≔⋋%⋟3708)≀⫉(⋋%⋟5634⩒⫫⋋%⋟2005)","cot":[{"info":"≔⋋%⋟3708=⋋%⋟-125271","layer":1},{"info":"⋋%⋟5634⩒⫫⋋%⋟2005=⋋%⋟5258","layer":1},{"info":"⋋%⋟-125271≀⫉⋋%⋟5258=⋋%⋟3775","layer":0}]}
+{"id":141,"expression_no_base_symbol":"(⪓⩚$2649$)↡⊰⫅($4527$∙∹∝$1876$)","expression":"(⪓⩚⋋%⋟3563)↡⊰⫅(⋋%⋟6180∙∹∝⋋%⋟2514)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3389,"operation_count":3,"complexity_ratio":1129.6666666666667,"tree":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"numeric_atoms","value":2649,"base":9}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":4527,"base":9},"right_expr":{"type":"numeric_atoms","value":1876,"base":9}}},"used_operators":["VCtxkLNOzz","u0R0Locfp2","HmxsFra2vL"],"dependent_operators":["Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI"],"result":"⋋%⋟0","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=2649","layer":2},{"info":"compute unary expreesion, input=2649, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":1},{"info":"number node, value=4527","layer":2},{"info":"number node, value=1876","layer":2},{"info":"compute binary expreesion, left_input=4527, right_input=1876, 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=426, 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":9,"result_base":9,"text":"(⪓⩚⋋%⋟3563)↡⊰⫅(⋋%⋟6180∙∹∝⋋%⋟2514)=⋋%⋟0","reverse_text":"⋋%⋟0=(⪓⩚⋋%⋟3563)↡⊰⫅(⋋%⋟6180∙∹∝⋋%⋟2514)","cot":[{"info":"⪓⩚⋋%⋟3563=⋋%⋟523","layer":1},{"info":"⋋%⋟6180∙∹∝⋋%⋟2514=⋋%⋟0","layer":1},{"info":"⋋%⋟523↡⊰⫅⋋%⋟0=⋋%⋟0","layer":0}]}
+{"id":142,"expression_no_base_symbol":"($1490$⊟⇱)⫣⪄⊒$2699$⋕⪉⪜$1467$","expression":"(⋋%⋟2035⊟⇱)⫣⪄⊒⋋%⋟3628⋕⪉⪜⋋%⋟2010","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":65,"operation_count":3,"complexity_ratio":21.666666666666668,"tree":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"unary","operator":"⊟⇱","unary_expr":{"type":"numeric_atoms","value":1490,"base":9}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":2699,"base":9},"right_expr":{"type":"numeric_atoms","value":1467,"base":9}}},"used_operators":["RabNbG55vr","03sUfWo75k","z6LnFrNh4i"],"dependent_operators":["NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","IWmyXbctLI","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z"],"result":"⋋%⋟-15644","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1490","layer":2},{"info":"compute unary expreesion, input=1490, op_id = 03sUfWo75k, unary_op_definition = 'a⊟⇱ = { (a⪮%⊝a) }', output=3296","layer":1},{"info":"number node, value=2699","layer":2},{"info":"number node, value=1467","layer":2},{"info":"compute binary expreesion, left_input=2699, right_input=1467, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":1},{"info":"compute binary expreesion, left_input=3296, right_input=2802, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-10732","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟2035⊟⇱)⫣⪄⊒⋋%⋟3628⋕⪉⪜⋋%⋟2010=⋋%⋟-15644","reverse_text":"⋋%⋟-15644=(⋋%⋟2035⊟⇱)⫣⪄⊒⋋%⋟3628⋕⪉⪜⋋%⋟2010","cot":[{"info":"⋋%⋟2035⊟⇱=⋋%⋟4462","layer":1},{"info":"⋋%⋟3628⋕⪉⪜⋋%⋟2010=⋋%⋟3753","layer":1},{"info":"⋋%⋟4462⫣⪄⊒⋋%⋟3753=⋋%⋟-15644","layer":0}]}
+{"id":143,"expression_no_base_symbol":"⫎≠⋺($1307$∌$1540$)","expression":"⫎≠⋺(⋋%⋟1712∌⋋%⋟2101)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":15,"operation_count":2,"complexity_ratio":7.5,"tree":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":1307,"base":9},"right_expr":{"type":"numeric_atoms","value":1540,"base":9}}},"used_operators":["LYeZOJ0nQG","8cLx32lpNA"],"dependent_operators":["9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd"],"result":"⋋%⋟-867","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1307","layer":2},{"info":"number node, value=1540","layer":2},{"info":"compute binary expreesion, left_input=1307, right_input=1540, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-1540","layer":1},{"info":"compute unary expreesion, input=-1540, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=-709","layer":0}],"base":9,"result_base":9,"text":"⫎≠⋺(⋋%⋟1712∌⋋%⋟2101)=⋋%⋟-867","reverse_text":"⋋%⋟-867=⫎≠⋺(⋋%⋟1712∌⋋%⋟2101)","cot":[{"info":"⋋%⋟1712∌⋋%⋟2101=⋋%⋟-2101","layer":1},{"info":"⫎≠⋺⋋%⋟-2101=⋋%⋟-867","layer":0}]}
+{"id":144,"expression_no_base_symbol":"$2043$⫳≱↱$5018$⫦⪉($1060$/$2983$)","expression":"⋋%⋟2720⫳≱↱⋋%⋟6785⫦⪉(⋋%⋟1407/⋋%⋟4074)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":334,"operation_count":3,"complexity_ratio":111.33333333333333,"tree":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":2043,"base":9},"right_expr":{"type":"numeric_atoms","value":5018,"base":9}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1060,"base":9},"right_expr":{"type":"numeric_atoms","value":2983,"base":9}}},"used_operators":["wscyQdcy20","ZvLB05nZmT","XhwjNDsVaA"],"dependent_operators":["W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","rysDP5nf3Z"],"result":"⋋%⋟5737","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=2043","layer":2},{"info":"number node, value=5018","layer":2},{"info":"compute binary expreesion, left_input=2043, right_input=5018, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":1},{"info":"number node, value=1060","layer":2},{"info":"number node, value=2983","layer":2},{"info":"compute binary expreesion, left_input=1060, right_input=2983, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":1},{"info":"compute binary expreesion, left_input=-204, right_input=0, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=4246","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟2720⫳≱↱⋋%⋟6785⫦⪉(⋋%⋟1407/⋋%⋟4074)=⋋%⋟5737","reverse_text":"⋋%⋟5737=⋋%⋟2720⫳≱↱⋋%⋟6785⫦⪉(⋋%⋟1407/⋋%⋟4074)","cot":[{"info":"⋋%⋟2720⫳≱↱⋋%⋟6785=⋋%⋟-246","layer":1},{"info":"⋋%⋟1407/⋋%⋟4074=⋋%⋟0","layer":1},{"info":"⋋%⋟-246⫦⪉⋋%⋟0=⋋%⋟5737","layer":0}]}
+{"id":145,"expression_no_base_symbol":"(⋂$1332$)⩵∡$3047$⊋≦⊧$8566$","expression":"(⋂⋋%⋟1740)⩵∡⋋%⋟4155⊋≦⊧⋋%⋟12667","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":43,"operation_count":3,"complexity_ratio":14.333333333333334,"tree":{"type":"binary","operator":"⩵∡","left_expr":{"type":"unary","operator":"⋂","unary_expr":{"type":"numeric_atoms","value":1332,"base":9}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":3047,"base":9},"right_expr":{"type":"numeric_atoms","value":8566,"base":9}}},"used_operators":["Y7wcNGrDQJ","BUOGQAYlQx","oRDoc9rAEX"],"dependent_operators":["NTOWxs364D","glklzrTFfD","tifHPKVTfV","NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC"],"result":"⋋%⋟64462","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1332","layer":2},{"info":"compute unary expreesion, input=1332, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=-18052","layer":1},{"info":"number node, value=3047","layer":2},{"info":"number node, value=8566","layer":2},{"info":"compute binary expreesion, left_input=3047, right_input=8566, 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=-11373","layer":1},{"info":"compute binary expreesion, left_input=-18052, right_input=-11373, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=42662","layer":0}],"base":9,"result_base":9,"text":"(⋂⋋%⋟1740)⩵∡⋋%⋟4155⊋≦⊧⋋%⋟12667=⋋%⋟64462","reverse_text":"⋋%⋟64462=(⋂⋋%⋟1740)⩵∡⋋%⋟4155⊋≦⊧⋋%⋟12667","cot":[{"info":"⋂⋋%⋟1740=⋋%⋟-26677","layer":1},{"info":"⋋%⋟4155⊋≦⊧⋋%⋟12667=⋋%⋟-16536","layer":1},{"info":"⋋%⋟-26677⩵∡⋋%⋟-16536=⋋%⋟64462","layer":0}]}
+{"id":146,"expression_no_base_symbol":"⋃(⊢≑≆$4924$)","expression":"⋃(⊢≑≆⋋%⋟6671)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":14,"operation_count":2,"complexity_ratio":7.0,"tree":{"type":"unary","operator":"⋃","unary_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"numeric_atoms","value":4924,"base":9}}},"used_operators":["3mBM5G4a3l","27wFxooxGf"],"dependent_operators":["g55IO6H4Gj","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj"],"result":"⋋%⋟61366","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=4924","layer":2},{"info":"compute unary expreesion, input=4924, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=20148","layer":1},{"info":"compute unary expreesion, input=20148, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=40398","layer":0}],"base":9,"result_base":9,"text":"⋃(⊢≑≆⋋%⋟6671)=⋋%⋟61366","reverse_text":"⋋%⋟61366=⋃(⊢≑≆⋋%⋟6671)","cot":[{"info":"⊢≑≆⋋%⋟6671=⋋%⋟30566","layer":1},{"info":"⋃⋋%⋟30566=⋋%⋟61366","layer":0}]}
+{"id":147,"expression_no_base_symbol":"(⪫⨮⊛$1014$)∽$4924$∲⫓$2249$","expression":"(⪫⨮⊛⋋%⋟1346)∽⋋%⋟6671∲⫓⋋%⋟3068","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":13,"operation_count":3,"complexity_ratio":4.333333333333333,"tree":{"type":"binary","operator":"∽","left_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"numeric_atoms","value":1014,"base":9}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":4924,"base":9},"right_expr":{"type":"numeric_atoms","value":2249,"base":9}}},"used_operators":["y4ImoPnbV5","w5FWba1tyO","i8ToyICDmI"],"dependent_operators":["NTOWxs364D","QMFrweE19q","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","W4YGzv6Whe","t8gj7n24qd"],"result":"⋋%⋟-6635","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1014","layer":2},{"info":"compute unary expreesion, input=1014, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=1014","layer":1},{"info":"number node, value=4924","layer":2},{"info":"number node, value=2249","layer":2},{"info":"compute binary expreesion, left_input=4924, right_input=2249, 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=1014, right_input=0, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-4892","layer":0}],"base":9,"result_base":9,"text":"(⪫⨮⊛⋋%⋟1346)∽⋋%⋟6671∲⫓⋋%⋟3068=⋋%⋟-6635","reverse_text":"⋋%⋟-6635=(⪫⨮⊛⋋%⋟1346)∽⋋%⋟6671∲⫓⋋%⋟3068","cot":[{"info":"⪫⨮⊛⋋%⋟1346=⋋%⋟1346","layer":1},{"info":"⋋%⋟6671∲⫓⋋%⋟3068=⋋%⋟0","layer":1},{"info":"⋋%⋟1346∽⋋%⋟0=⋋%⋟-6635","layer":0}]}
+{"id":148,"expression_no_base_symbol":"($2132$⪎⩰)↸(⇤←$1067$)","expression":"(⋋%⋟2828⪎⩰)↸(⇤←⋋%⋟1415)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":88,"operation_count":3,"complexity_ratio":29.333333333333332,"tree":{"type":"binary","operator":"↸","left_expr":{"type":"unary","operator":"⪎⩰","unary_expr":{"type":"numeric_atoms","value":2132,"base":9}},"right_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"numeric_atoms","value":1067,"base":9}}},"used_operators":["1eCjFl0mb9","2ufhKmSs5H","jfAgQ2OQeM"],"dependent_operators":["9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","DpFCA1CohY","N41Kp7NANJ","sdazOOVcIp","EBcxylXtPf","f6k1SAg4EE","COABgblf1C","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx"],"result":"⋋%⋟-37","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2132","layer":2},{"info":"compute unary expreesion, input=2132, op_id = 2ufhKmSs5H, unary_op_definition = 'a⪎⩰ = { (17≋⫹) , if a>=326 and a!=597 ; (((a⪒a)⫌⩹⨱)⊭↱(⋗⩬⋾(756⪨≂a))) , else }', output=-34","layer":1},{"info":"number node, value=1067","layer":2},{"info":"compute unary expreesion, input=1067, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=-3969","layer":1},{"info":"compute binary expreesion, left_input=-34, right_input=-3969, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=-34","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟2828⪎⩰)↸(⇤←⋋%⋟1415)=⋋%⋟-37","reverse_text":"⋋%⋟-37=(⋋%⋟2828⪎⩰)↸(⇤←⋋%⋟1415)","cot":[{"info":"⋋%⋟2828⪎⩰=⋋%⋟-37","layer":1},{"info":"⇤←⋋%⋟1415=⋋%⋟-5400","layer":1},{"info":"⋋%⋟-37↸⋋%⋟-5400=⋋%⋟-37","layer":0}]}
+{"id":149,"expression_no_base_symbol":"(⩏⊷≩$1530$)⋣⋖($3039$⩺⪪$2611$)","expression":"(⩏⊷≩⋋%⋟2080)⋣⋖(⋋%⋟4146⩺⪪⋋%⋟3521)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":143,"operation_count":3,"complexity_ratio":47.666666666666664,"tree":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"numeric_atoms","value":1530,"base":9}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":3039,"base":9},"right_expr":{"type":"numeric_atoms","value":2611,"base":9}}},"used_operators":["J0M6qkBnIM","uOZ1tnYMDE","uvdQJvN4PV"],"dependent_operators":["VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","23Mk6UjR3U","12rbrZMWeM","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U"],"result":"⋋%⋟3705","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1530","layer":2},{"info":"compute unary expreesion, input=1530, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=2759","layer":1},{"info":"number node, value=3039","layer":2},{"info":"number node, value=2611","layer":2},{"info":"compute binary expreesion, left_input=3039, right_input=2611, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-7746","layer":1},{"info":"compute binary expreesion, left_input=2759, right_input=-7746, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=2759","layer":0}],"base":9,"result_base":9,"text":"(⩏⊷≩⋋%⋟2080)⋣⋖(⋋%⋟4146⩺⪪⋋%⋟3521)=⋋%⋟3705","reverse_text":"⋋%⋟3705=(⩏⊷≩⋋%⋟2080)⋣⋖(⋋%⋟4146⩺⪪⋋%⋟3521)","cot":[{"info":"⩏⊷≩⋋%⋟2080=⋋%⋟3705","layer":1},{"info":"⋋%⋟4146⩺⪪⋋%⋟3521=⋋%⋟-11556","layer":1},{"info":"⋋%⋟3705⋣⋖⋋%⋟-11556=⋋%⋟3705","layer":0}]}
+{"id":150,"expression_no_base_symbol":"$6028$⊮⊟↴$1695$≨$3841$≦↸$1095$","expression":"⋋%⋟8237⊮⊟↴⋋%⋟2283≨⋋%⋟5237≦↸⋋%⋟1446","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":134,"operation_count":3,"complexity_ratio":44.666666666666664,"tree":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":6028,"base":9},"right_expr":{"type":"numeric_atoms","value":1695,"base":9}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":3841,"base":9},"right_expr":{"type":"numeric_atoms","value":1095,"base":9}}},"used_operators":["0KMCeP1Jsh","QDVgd2eftb","RygbFNSyEJ"],"dependent_operators":["jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj"],"result":"⋋%⋟3351","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=6028","layer":2},{"info":"number node, value=1695","layer":2},{"info":"compute binary expreesion, left_input=6028, right_input=1695, 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=3841","layer":2},{"info":"number node, value=1095","layer":2},{"info":"compute binary expreesion, left_input=3841, right_input=1095, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-9191","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-9191, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=2476","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟8237⊮⊟↴⋋%⋟2283≨⋋%⋟5237≦↸⋋%⋟1446=⋋%⋟3351","reverse_text":"⋋%⋟3351=⋋%⋟8237⊮⊟↴⋋%⋟2283≨⋋%⋟5237≦↸⋋%⋟1446","cot":[{"info":"⋋%⋟8237⊮⊟↴⋋%⋟2283=⋋%⋟0","layer":1},{"info":"⋋%⋟5237≦↸⋋%⋟1446=⋋%⋟-13542","layer":1},{"info":"⋋%⋟0≨⋋%⋟-13542=⋋%⋟3351","layer":0}]}
+{"id":151,"expression_no_base_symbol":"⨰⫟⨤($2212$↙$2255$)","expression":"⨰⫟⨤(⋋%⋟3027↙⋋%⋟3075)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":30210,"operation_count":2,"complexity_ratio":15105.0,"tree":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2212,"base":9},"right_expr":{"type":"numeric_atoms","value":2255,"base":9}}},"used_operators":["Tw270M8GLb","yyfyN0ffXY"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2212","layer":2},{"info":"number node, value=2255","layer":2},{"info":"compute binary expreesion, left_input=2212, right_input=2255, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-6765","layer":1},{"info":"compute unary expreesion, input=-6765, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"⨰⫟⨤(⋋%⋟3027↙⋋%⋟3075)=NaN","reverse_text":"NaN=⨰⫟⨤(⋋%⋟3027↙⋋%⋟3075)","cot":[{"info":"⋋%⋟3027↙⋋%⋟3075=⋋%⋟-10246","layer":1},{"info":"⨰⫟⨤⋋%⋟-10246=NaN","layer":0}]}
+{"id":152,"expression_no_base_symbol":"$1994$≦↸$1239$∠⫱$2992$⩼⇪↪$3305$","expression":"⋋%⋟2655≦↸⋋%⋟1626∠⫱⋋%⋟4084⩼⇪↪⋋%⋟4472","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":35,"operation_count":3,"complexity_ratio":11.666666666666666,"tree":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":1994,"base":9},"right_expr":{"type":"numeric_atoms","value":1239,"base":9}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":2992,"base":9},"right_expr":{"type":"numeric_atoms","value":3305,"base":9}}},"used_operators":["QvoQhV0rrE","RygbFNSyEJ","ocnLzx9CaJ"],"dependent_operators":["eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q"],"result":"⋋%⋟17588","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1994","layer":2},{"info":"number node, value=1239","layer":2},{"info":"compute binary expreesion, left_input=1994, right_input=1239, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-5785","layer":1},{"info":"number node, value=2992","layer":2},{"info":"number node, value=3305","layer":2},{"info":"compute binary expreesion, left_input=2992, right_input=3305, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-17934","layer":1},{"info":"compute binary expreesion, left_input=-5785, right_input=-17934, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=12149","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟2655≦↸⋋%⋟1626∠⫱⋋%⋟4084⩼⇪↪⋋%⋟4472=⋋%⋟17588","reverse_text":"⋋%⋟17588=⋋%⋟2655≦↸⋋%⋟1626∠⫱⋋%⋟4084⩼⇪↪⋋%⋟4472","cot":[{"info":"⋋%⋟2655≦↸⋋%⋟1626=⋋%⋟-7837","layer":1},{"info":"⋋%⋟4084⩼⇪↪⋋%⋟4472=⋋%⋟-26536","layer":1},{"info":"⋋%⋟-7837∠⫱⋋%⋟-26536=⋋%⋟17588","layer":0}]}
+{"id":153,"expression_no_base_symbol":"$5317$⊬⨰$1973$⨽$2415$∺≝⩲$1023$","expression":"⋋%⋟7257⊬⨰⋋%⋟2632⨽⋋%⋟3273∺≝⩲⋋%⋟1356","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":12180,"operation_count":3,"complexity_ratio":4060.0,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":5317,"base":9},"right_expr":{"type":"numeric_atoms","value":1973,"base":9}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":2415,"base":9},"right_expr":{"type":"numeric_atoms","value":1023,"base":9}}},"used_operators":["8HhzD0ZcuI","s3Fd5m9Dh2","KPf6cnQVty"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl"],"result":"⋋%⋟-1125661803","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=5317","layer":2},{"info":"number node, value=1973","layer":2},{"info":"compute binary expreesion, left_input=5317, right_input=1973, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=12153","layer":1},{"info":"number node, value=2415","layer":2},{"info":"number node, value=1023","layer":2},{"info":"compute binary expreesion, left_input=2415, right_input=1023, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":1},{"info":"compute binary expreesion, left_input=12153, right_input=160, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-443085393","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟7257⊬⨰⋋%⋟2632⨽⋋%⋟3273∺≝⩲⋋%⋟1356=⋋%⋟-1125661803","reverse_text":"⋋%⋟-1125661803=⋋%⋟7257⊬⨰⋋%⋟2632⨽⋋%⋟3273∺≝⩲⋋%⋟1356","cot":[{"info":"⋋%⋟7257⊬⨰⋋%⋟2632=⋋%⋟17603","layer":1},{"info":"⋋%⋟3273∺≝⩲⋋%⋟1356=⋋%⋟187","layer":1},{"info":"⋋%⋟17603⨽⋋%⋟187=⋋%⋟-1125661803","layer":0}]}
+{"id":154,"expression_no_base_symbol":"($3643$⩹$4002$)⪟⇏($1575$≚⋢)","expression":"(⋋%⋟4887⩹⋋%⋟5436)⪟⇏(⋋%⋟2140≚⋢)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":147,"operation_count":3,"complexity_ratio":49.0,"tree":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":3643,"base":9},"right_expr":{"type":"numeric_atoms","value":4002,"base":9}},"right_expr":{"type":"unary","operator":"≚⋢","unary_expr":{"type":"numeric_atoms","value":1575,"base":9}}},"used_operators":["GODebY97qR","2Wsdkap16l","MahUMFw56D"],"dependent_operators":["gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","3ViojmjbAp"],"result":"⋋%⋟0","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=3643","layer":2},{"info":"number node, value=4002","layer":2},{"info":"compute binary expreesion, left_input=3643, right_input=4002, 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=4000","layer":1},{"info":"number node, value=1575","layer":2},{"info":"compute unary expreesion, input=1575, op_id = MahUMFw56D, unary_op_definition = 'a≚⋢ = { (a⨓86) }', output=-89","layer":1},{"info":"compute binary expreesion, left_input=4000, right_input=-89, 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":9,"result_base":9,"text":"(⋋%⋟4887⩹⋋%⋟5436)⪟⇏(⋋%⋟2140≚⋢)=⋋%⋟0","reverse_text":"⋋%⋟0=(⋋%⋟4887⩹⋋%⋟5436)⪟⇏(⋋%⋟2140≚⋢)","cot":[{"info":"⋋%⋟4887⩹⋋%⋟5436=⋋%⋟5434","layer":1},{"info":"⋋%⋟2140≚⋢=⋋%⋟-108","layer":1},{"info":"⋋%⋟5434⪟⇏⋋%⋟-108=⋋%⋟0","layer":0}]}
+{"id":155,"expression_no_base_symbol":"$2952$∊∟⩊$2786$⩌⋺(∂$1441$)","expression":"⋋%⋟4040∊∟⩊⋋%⋟3735⩌⋺(∂⋋%⋟1871)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9,"operation_count":3,"complexity_ratio":3.0,"tree":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":2952,"base":9},"right_expr":{"type":"numeric_atoms","value":2786,"base":9}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1441,"base":9}}},"used_operators":["g7Hmc5v1ko","ddLRYrp01A","Uaa54Peajs"],"dependent_operators":["9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=2952","layer":2},{"info":"number node, value=2786","layer":2},{"info":"compute binary expreesion, left_input=2952, right_input=2786, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=2786","layer":1},{"info":"number node, value=1441","layer":2},{"info":"compute unary expreesion, input=1441, 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":1},{"info":"compute binary expreesion, left_input=2786, right_input=nan, 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":0}],"base":9,"result_base":9,"text":"⋋%⋟4040∊∟⩊⋋%⋟3735⩌⋺(∂⋋%⋟1871)=NaN","reverse_text":"NaN=⋋%⋟4040∊∟⩊⋋%⋟3735⩌⋺(∂⋋%⋟1871)","cot":[{"info":"⋋%⋟4040∊∟⩊⋋%⋟3735=⋋%⋟3735","layer":1},{"info":"∂⋋%⋟1871=NaN","layer":1},{"info":"⋋%⋟3735⩌⋺NaN=NaN","layer":0}]}
+{"id":156,"expression_no_base_symbol":"$6766$⨸$3524$⫢⨠$5290$⇴∐$5821$","expression":"⋋%⋟10247⨸⋋%⋟4745⫢⨠⋋%⋟7227⇴∐⋋%⋟7877","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6961,"operation_count":3,"complexity_ratio":2320.3333333333335,"tree":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":6766,"base":9},"right_expr":{"type":"numeric_atoms","value":3524,"base":9}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":5290,"base":9},"right_expr":{"type":"numeric_atoms","value":5821,"base":9}}},"used_operators":["xlXykHWxX1","KmoU8R5UQR","HnzytWxmAO"],"dependent_operators":["KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=6766","layer":2},{"info":"number node, value=3524","layer":2},{"info":"compute binary expreesion, left_input=6766, right_input=3524, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=13532","layer":1},{"info":"number node, value=5290","layer":2},{"info":"number node, value=5821","layer":2},{"info":"compute binary expreesion, left_input=5290, right_input=5821, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=13532, right_input=nan, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟10247⨸⋋%⋟4745⫢⨠⋋%⋟7227⇴∐⋋%⋟7877=NaN","reverse_text":"NaN=⋋%⋟10247⨸⋋%⋟4745⫢⨠⋋%⋟7227⇴∐⋋%⋟7877","cot":[{"info":"⋋%⋟10247⨸⋋%⋟4745=⋋%⋟20505","layer":1},{"info":"⋋%⋟7227⇴∐⋋%⋟7877=NaN","layer":1},{"info":"⋋%⋟20505⫢⨠NaN=NaN","layer":0}]}
+{"id":157,"expression_no_base_symbol":"($5536$∝$2090$)⪶≀⋏$8651$≝⊿$1043$","expression":"(⋋%⋟7531∝⋋%⋟2772)⪶≀⋏⋋%⋟12772≝⊿⋋%⋟1378","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":33,"operation_count":3,"complexity_ratio":11.0,"tree":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":5536,"base":9},"right_expr":{"type":"numeric_atoms","value":2090,"base":9}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":8651,"base":9},"right_expr":{"type":"numeric_atoms","value":1043,"base":9}}},"used_operators":["zR4jO40bMj","cTDWOvIxvz","OKKcZfAt5B"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","7j4O788W3g","W4YGzv6Whe","COABgblf1C","12rbrZMWeM"],"result":"⋋%⋟85","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=5536","layer":2},{"info":"number node, value=2090","layer":2},{"info":"compute binary expreesion, left_input=5536, right_input=2090, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=5541","layer":1},{"info":"number node, value=8651","layer":2},{"info":"number node, value=1043","layer":2},{"info":"compute binary expreesion, left_input=8651, right_input=1043, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-11270","layer":1},{"info":"compute binary expreesion, left_input=5541, right_input=-11270, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=77","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟7531∝⋋%⋟2772)⪶≀⋏⋋%⋟12772≝⊿⋋%⋟1378=⋋%⋟85","reverse_text":"⋋%⋟85=(⋋%⋟7531∝⋋%⋟2772)⪶≀⋏⋋%⋟12772≝⊿⋋%⋟1378","cot":[{"info":"⋋%⋟7531∝⋋%⋟2772=⋋%⋟7536","layer":1},{"info":"⋋%⋟12772≝⊿⋋%⋟1378=⋋%⋟-16412","layer":1},{"info":"⋋%⋟7536⪶≀⋏⋋%⋟-16412=⋋%⋟85","layer":0}]}
+{"id":158,"expression_no_base_symbol":"≸≮(⊀$1942$)","expression":"≸≮(⊀⋋%⋟2587)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":10391,"operation_count":2,"complexity_ratio":5195.5,"tree":{"type":"unary","operator":"≸≮","unary_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"numeric_atoms","value":1942,"base":9}}},"used_operators":["AljMvE3RRm","oPMjh9089D"],"dependent_operators":["3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1942","layer":2},{"info":"compute unary expreesion, input=1942, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=7506","layer":1},{"info":"compute unary expreesion, input=7506, 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":9,"result_base":9,"text":"≸≮(⊀⋋%⋟2587)=NaN","reverse_text":"NaN=≸≮(⊀⋋%⋟2587)","cot":[{"info":"⊀⋋%⋟2587=⋋%⋟11260","layer":1},{"info":"≸≮⋋%⋟11260=NaN","layer":0}]}
+{"id":159,"expression_no_base_symbol":"($5793$↸$7602$)⨔≚≋$2278$∇⊂⋱$2928$","expression":"(⋋%⋟7846↸⋋%⋟11376)⨔≚≋⋋%⋟3111∇⊂⋱⋋%⋟4013","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5859,"operation_count":3,"complexity_ratio":1953.0,"tree":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":5793,"base":9},"right_expr":{"type":"numeric_atoms","value":7602,"base":9}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":2278,"base":9},"right_expr":{"type":"numeric_atoms","value":2928,"base":9}}},"used_operators":["Z57zeUYC9z","1eCjFl0mb9","nhYeJWJD5X"],"dependent_operators":["zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx"],"result":"⋋%⋟14478","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=5793","layer":2},{"info":"number node, value=7602","layer":2},{"info":"compute binary expreesion, left_input=5793, right_input=7602, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=5793","layer":1},{"info":"number node, value=2278","layer":2},{"info":"number node, value=2928","layer":2},{"info":"compute binary expreesion, left_input=2278, right_input=2928, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=4010","layer":1},{"info":"compute binary expreesion, left_input=5793, right_input=4010, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟7846↸⋋%⋟11376)⨔≚≋⋋%⋟3111∇⊂⋱⋋%⋟4013=⋋%⋟14478","reverse_text":"⋋%⋟14478=(⋋%⋟7846↸⋋%⋟11376)⨔≚≋⋋%⋟3111∇⊂⋱⋋%⋟4013","cot":[{"info":"⋋%⋟7846↸⋋%⋟11376=⋋%⋟7846","layer":1},{"info":"⋋%⋟3111∇⊂⋱⋋%⋟4013=⋋%⋟5445","layer":1},{"info":"⋋%⋟7846⨔≚≋⋋%⋟5445=⋋%⋟14478","layer":0}]}
+{"id":160,"expression_no_base_symbol":"⨆≐≲($3832$⩷∴$4992$)","expression":"⨆≐≲(⋋%⋟5227⩷∴⋋%⋟6756)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":120,"operation_count":2,"complexity_ratio":60.0,"tree":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":3832,"base":9},"right_expr":{"type":"numeric_atoms","value":4992,"base":9}}},"used_operators":["Bi9z9uYZqW","9FxExcQeMw"],"dependent_operators":["SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","rysDP5nf3Z"],"result":"⋋%⋟-276175","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3832","layer":2},{"info":"number node, value=4992","layer":2},{"info":"compute binary expreesion, left_input=3832, right_input=4992, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-2352","layer":1},{"info":"compute unary expreesion, input=-2352, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=-168548","layer":0}],"base":9,"result_base":9,"text":"⨆≐≲(⋋%⋟5227⩷∴⋋%⋟6756)=⋋%⋟-276175","reverse_text":"⋋%⋟-276175=⨆≐≲(⋋%⋟5227⩷∴⋋%⋟6756)","cot":[{"info":"⋋%⋟5227⩷∴⋋%⋟6756=⋋%⋟-3203","layer":1},{"info":"⨆≐≲⋋%⋟-3203=⋋%⋟-276175","layer":0}]}
+{"id":161,"expression_no_base_symbol":"($3619$⨒$9343$)⋥≓≎$1162$∠↢$3440$","expression":"(⋋%⋟4861⨒⋋%⋟13731)⋥≓≎⋋%⋟1531∠↢⋋%⋟4642","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":35,"operation_count":3,"complexity_ratio":11.666666666666666,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":3619,"base":9},"right_expr":{"type":"numeric_atoms","value":9343,"base":9}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":1162,"base":9},"right_expr":{"type":"numeric_atoms","value":3440,"base":9}}},"used_operators":["Qy55tPpLXF","y75s1iXyHd","KbjG8mgYpV"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C"],"result":"⋋%⋟74","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3619","layer":2},{"info":"number node, value=9343","layer":2},{"info":"compute binary expreesion, left_input=3619, right_input=9343, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-21342","layer":1},{"info":"number node, value=1162","layer":2},{"info":"number node, value=3440","layer":2},{"info":"compute binary expreesion, left_input=1162, right_input=3440, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-51726","layer":1},{"info":"compute binary expreesion, left_input=-21342, right_input=-51726, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟4861⨒⋋%⋟13731)⋥≓≎⋋%⋟1531∠↢⋋%⋟4642=⋋%⋟74","reverse_text":"⋋%⋟74=(⋋%⋟4861⨒⋋%⋟13731)⋥≓≎⋋%⋟1531∠↢⋋%⋟4642","cot":[{"info":"⋋%⋟4861⨒⋋%⋟13731=⋋%⋟-32243","layer":1},{"info":"⋋%⋟1531∠↢⋋%⋟4642=⋋%⋟-77853","layer":1},{"info":"⋋%⋟-32243⋥≓≎⋋%⋟-77853=⋋%⋟74","layer":0}]}
+{"id":162,"expression_no_base_symbol":"(⇜⊴$1066$)⩼⇪↪($3934$⪍↜⋙$1490$)","expression":"(⇜⊴⋋%⋟1414)⩼⇪↪(⋋%⋟5351⪍↜⋙⋋%⋟2035)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":107,"operation_count":3,"complexity_ratio":35.666666666666664,"tree":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"numeric_atoms","value":1066,"base":9}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":3934,"base":9},"right_expr":{"type":"numeric_atoms","value":1490,"base":9}}},"used_operators":["ocnLzx9CaJ","XwDhCwWbUn","L05ObWFQCd"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q"],"result":"⋋%⋟-857520","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1066","layer":2},{"info":"compute unary expreesion, input=1066, 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=-237862","layer":1},{"info":"number node, value=3934","layer":2},{"info":"number node, value=1490","layer":2},{"info":"compute binary expreesion, left_input=3934, right_input=1490, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=4888","layer":1},{"info":"compute binary expreesion, left_input=-237862, right_input=4888, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-510723","layer":0}],"base":9,"result_base":9,"text":"(⇜⊴⋋%⋟1414)⩼⇪↪(⋋%⋟5351⪍↜⋙⋋%⋟2035)=⋋%⋟-857520","reverse_text":"⋋%⋟-857520=(⇜⊴⋋%⋟1414)⩼⇪↪(⋋%⋟5351⪍↜⋙⋋%⋟2035)","cot":[{"info":"⇜⊴⋋%⋟1414=⋋%⋟-402251","layer":1},{"info":"⋋%⋟5351⪍↜⋙⋋%⋟2035=⋋%⋟6631","layer":1},{"info":"⋋%⋟-402251⩼⇪↪⋋%⋟6631=⋋%⋟-857520","layer":0}]}
+{"id":163,"expression_no_base_symbol":"($1947$⪃↞⩐)⋝⋈⪟$3044$⋣⋖$1127$","expression":"(⋋%⋟2603⪃↞⩐)⋝⋈⪟⋋%⋟4152⋣⋖⋋%⋟1482","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":720,"operation_count":3,"complexity_ratio":240.0,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⪃↞⩐","unary_expr":{"type":"numeric_atoms","value":1947,"base":9}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":3044,"base":9},"right_expr":{"type":"numeric_atoms","value":1127,"base":9}}},"used_operators":["2DDjHMKMc0","grXIztHqDa","J0M6qkBnIM"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","IwW236VD4Y","bF6eod5Gvf","l07mrZUIn9","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2"],"result":"⋋%⋟17400","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1947","layer":2},{"info":"compute unary expreesion, input=1947, op_id = grXIztHqDa, unary_op_definition = 'a⪃↞⩐ = { ((a→⨶⪴a)≠≀(a↪⪝)) }', output=11988","layer":1},{"info":"number node, value=3044","layer":2},{"info":"number node, value=1127","layer":2},{"info":"compute binary expreesion, left_input=3044, right_input=1127, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=3044","layer":1},{"info":"compute binary expreesion, left_input=11988, right_input=3044, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=11988","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟2603⪃↞⩐)⋝⋈⪟⋋%⋟4152⋣⋖⋋%⋟1482=⋋%⋟17400","reverse_text":"⋋%⋟17400=(⋋%⋟2603⪃↞⩐)⋝⋈⪟⋋%⋟4152⋣⋖⋋%⋟1482","cot":[{"info":"⋋%⋟2603⪃↞⩐=⋋%⋟17400","layer":1},{"info":"⋋%⋟4152⋣⋖⋋%⋟1482=⋋%⋟4152","layer":1},{"info":"⋋%⋟17400⋝⋈⪟⋋%⋟4152=⋋%⋟17400","layer":0}]}
+{"id":164,"expression_no_base_symbol":"($1174$⇄$4386$)↳∿⪆($5584$+⪬∐$4466$)","expression":"(⋋%⋟1544⇄⋋%⋟6013)↳∿⪆(⋋%⋟7584+⪬∐⋋%⋟6112)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2704,"operation_count":3,"complexity_ratio":901.3333333333334,"tree":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":1174,"base":9},"right_expr":{"type":"numeric_atoms","value":4386,"base":9}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":5584,"base":9},"right_expr":{"type":"numeric_atoms","value":4466,"base":9}}},"used_operators":["Cw4SuJJGHO","3EYGwJThht","2GS7woTJqF"],"dependent_operators":["hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","g55IO6H4Gj","D4vGDi5EA2"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1174","layer":2},{"info":"number node, value=4386","layer":2},{"info":"compute binary expreesion, left_input=1174, right_input=4386, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":1},{"info":"number node, value=5584","layer":2},{"info":"number node, value=4466","layer":2},{"info":"compute binary expreesion, left_input=5584, right_input=4466, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-16752","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-16752, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟1544⇄⋋%⋟6013)↳∿⪆(⋋%⋟7584+⪬∐⋋%⋟6112)=NaN","reverse_text":"NaN=(⋋%⋟1544⇄⋋%⋟6013)↳∿⪆(⋋%⋟7584+⪬∐⋋%⋟6112)","cot":[{"info":"⋋%⋟1544⇄⋋%⋟6013=⋋%⋟0","layer":1},{"info":"⋋%⋟7584+⪬∐⋋%⋟6112=⋋%⋟-24873","layer":1},{"info":"⋋%⋟0↳∿⪆⋋%⋟-24873=NaN","layer":0}]}
+{"id":165,"expression_no_base_symbol":"($8085$⇣⩺⋵$1122$)↠","expression":"(⋋%⋟12073⇣⩺⋵⋋%⋟1476)↠","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1653,"operation_count":2,"complexity_ratio":826.5,"tree":{"type":"unary","operator":"↠","unary_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":8085,"base":9},"right_expr":{"type":"numeric_atoms","value":1122,"base":9}}},"used_operators":["LBdsKIvxzf","F4yD0voBRQ"],"dependent_operators":["d7ASUq0ydm","rysDP5nf3Z","Noe24qw2ks","xRrnTEsQ6j","dfKe02y8D2","Tw270M8GLb","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=8085","layer":2},{"info":"number node, value=1122","layer":2},{"info":"compute binary expreesion, left_input=8085, right_input=1122, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":1},{"info":"compute unary expreesion, input=-260, op_id = LBdsKIvxzf, unary_op_definition = 'a↠ = { ((⨰⫟⨤603)⨐(a⫯⪬∳a)) , if (a⫁⪎18)<=15 ; (167⫚↹⊑(a-a)) , else }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟12073⇣⩺⋵⋋%⋟1476)↠=NaN","reverse_text":"NaN=(⋋%⋟12073⇣⩺⋵⋋%⋟1476)↠","cot":[{"info":"⋋%⋟12073⇣⩺⋵⋋%⋟1476=⋋%⋟-318","layer":1},{"info":"⋋%⋟-318↠=NaN","layer":0}]}
+{"id":166,"expression_no_base_symbol":"($3488$⨳⩥⨓$1219$)⫲⨊","expression":"(⋋%⋟4705⨳⩥⨓⋋%⋟1604)⫲⨊","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":30,"operation_count":2,"complexity_ratio":15.0,"tree":{"type":"unary","operator":"⫲⨊","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3488,"base":9},"right_expr":{"type":"numeric_atoms","value":1219,"base":9}}},"used_operators":["CArV6hThFE","nCS4ZIUYfx"],"dependent_operators":["WmT3o8z6ya","uFcxV4UQCh","2DDjHMKMc0","B3sABdIn96","X99M06cbEe","W4YGzv6Whe","rysDP5nf3Z"],"result":"⋋%⋟-15435","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3488","layer":2},{"info":"number node, value=1219","layer":2},{"info":"compute binary expreesion, left_input=3488, right_input=1219, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2269","layer":1},{"info":"compute unary expreesion, input=-2269, op_id = CArV6hThFE, unary_op_definition = 'a⫲⨊ = { ((332≫≃)⪹) , if a==35 ; ((a⋘⨑⨽)⋝⋈⪟(a⪛290)) , else }', output=-10562","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟4705⨳⩥⨓⋋%⋟1604)⫲⨊=⋋%⋟-15435","reverse_text":"⋋%⋟-15435=(⋋%⋟4705⨳⩥⨓⋋%⋟1604)⫲⨊","cot":[{"info":"⋋%⋟4705⨳⩥⨓⋋%⋟1604=⋋%⋟-3101","layer":1},{"info":"⋋%⋟-3101⫲⨊=⋋%⋟-15435","layer":0}]}
+{"id":167,"expression_no_base_symbol":"($1688$⫌⩉⩟$1142$)⪭≯$1818$∴$1184$","expression":"(⋋%⋟2275⫌⩉⩟⋋%⋟1508)⪭≯⋋%⋟2440∴⋋%⋟1555","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6301,"operation_count":3,"complexity_ratio":2100.3333333333335,"tree":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":1688,"base":9},"right_expr":{"type":"numeric_atoms","value":1142,"base":9}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":1818,"base":9},"right_expr":{"type":"numeric_atoms","value":1184,"base":9}}},"used_operators":["XAx5wpdLa6","XIIwhv8d0m","hrf7POJlIJ"],"dependent_operators":["9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1688","layer":2},{"info":"number node, value=1142","layer":2},{"info":"compute binary expreesion, left_input=1688, right_input=1142, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":1},{"info":"number node, value=1818","layer":2},{"info":"number node, value=1184","layer":2},{"info":"compute binary expreesion, left_input=1818, right_input=1184, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=5284","layer":1},{"info":"compute binary expreesion, left_input=-50, right_input=5284, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟2275⫌⩉⩟⋋%⋟1508)⪭≯⋋%⋟2440∴⋋%⋟1555=NaN","reverse_text":"NaN=(⋋%⋟2275⫌⩉⩟⋋%⋟1508)⪭≯⋋%⋟2440∴⋋%⋟1555","cot":[{"info":"⋋%⋟2275⫌⩉⩟⋋%⋟1508=⋋%⋟-55","layer":1},{"info":"⋋%⋟2440∴⋋%⋟1555=⋋%⋟7221","layer":1},{"info":"⋋%⋟-55⪭≯⋋%⋟7221=NaN","layer":0}]}
+{"id":168,"expression_no_base_symbol":"(⨝⨆$5988$)⪛⫼$1441$⪕$1150$","expression":"(⨝⨆⋋%⋟8183)⪛⫼⋋%⋟1871⪕⋋%⋟1517","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":206,"operation_count":3,"complexity_ratio":68.66666666666667,"tree":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"numeric_atoms","value":5988,"base":9}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":1441,"base":9},"right_expr":{"type":"numeric_atoms","value":1150,"base":9}}},"used_operators":["hyuBjUqXlG","bQ67fsrMVf","umQnsF7QlU"],"dependent_operators":["HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","tifHPKVTfV","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF"],"result":"⋋%⋟1285","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=5988","layer":2},{"info":"compute unary expreesion, input=5988, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=5779","layer":1},{"info":"number node, value=1441","layer":2},{"info":"number node, value=1150","layer":2},{"info":"compute binary expreesion, left_input=1441, right_input=1150, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=2633","layer":1},{"info":"compute binary expreesion, left_input=5779, right_input=2633, 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":9,"result_base":9,"text":"(⨝⨆⋋%⋟8183)⪛⫼⋋%⋟1871⪕⋋%⋟1517=⋋%⋟1285","reverse_text":"⋋%⋟1285=(⨝⨆⋋%⋟8183)⪛⫼⋋%⋟1871⪕⋋%⋟1517","cot":[{"info":"⨝⨆⋋%⋟8183=⋋%⋟7831","layer":1},{"info":"⋋%⋟1871⪕⋋%⋟1517=⋋%⋟3545","layer":1},{"info":"⋋%⋟7831⪛⫼⋋%⋟3545=⋋%⋟1285","layer":0}]}
+{"id":169,"expression_no_base_symbol":"↣≠⋷($1027$⋝⋈⪟$1812$)","expression":"↣≠⋷(⋋%⋟1361⋝⋈⪟⋋%⋟2433)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":6,"operation_count":2,"complexity_ratio":3.0,"tree":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1027,"base":9},"right_expr":{"type":"numeric_atoms","value":1812,"base":9}}},"used_operators":["Asc51vEJeQ","2DDjHMKMc0"],"dependent_operators":["XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1027","layer":2},{"info":"number node, value=1812","layer":2},{"info":"compute binary expreesion, left_input=1027, right_input=1812, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1027","layer":1},{"info":"compute unary expreesion, input=1027, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"↣≠⋷(⋋%⋟1361⋝⋈⪟⋋%⋟2433)=NaN","reverse_text":"NaN=↣≠⋷(⋋%⋟1361⋝⋈⪟⋋%⋟2433)","cot":[{"info":"⋋%⋟1361⋝⋈⪟⋋%⋟2433=⋋%⋟1361","layer":1},{"info":"↣≠⋷⋋%⋟1361=NaN","layer":0}]}
+{"id":170,"expression_no_base_symbol":"($1909$⫲≸⪮$6560$)⪥($9613$∴≳≥)","expression":"(⋋%⋟2551⫲≸⪮⋋%⋟8888)⪥(⋋%⋟14161∴≳≥)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1935,"operation_count":3,"complexity_ratio":645.0,"tree":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":1909,"base":9},"right_expr":{"type":"numeric_atoms","value":6560,"base":9}},"right_expr":{"type":"unary","operator":"∴≳≥","unary_expr":{"type":"numeric_atoms","value":9613,"base":9}}},"used_operators":["QbnwKVWMIQ","P3lXMJvFrc","a3N2hFLK0J"],"dependent_operators":["WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","g55IO6H4Gj","DpFCA1CohY","xUOZtlo3hN"],"result":"⋋%⋟17763","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1909","layer":2},{"info":"number node, value=6560","layer":2},{"info":"compute binary expreesion, left_input=1909, right_input=6560, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=1909","layer":1},{"info":"number node, value=9613","layer":2},{"info":"compute unary expreesion, input=9613, op_id = a3N2hFLK0J, unary_op_definition = 'a∴≳≥ = { (⨞⊢a) , if (⋗⩬⋾a)==641 ; (a⨸⪁a) , else }', output=38452","layer":1},{"info":"compute binary expreesion, left_input=1909, right_input=38452, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=12288","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟2551⫲≸⪮⋋%⋟8888)⪥(⋋%⋟14161∴≳≥)=⋋%⋟17763","reverse_text":"⋋%⋟17763=(⋋%⋟2551⫲≸⪮⋋%⋟8888)⪥(⋋%⋟14161∴≳≥)","cot":[{"info":"⋋%⋟2551⫲≸⪮⋋%⋟8888=⋋%⋟2551","layer":1},{"info":"⋋%⋟14161∴≳≥=⋋%⋟57664","layer":1},{"info":"⋋%⋟2551⪥⋋%⋟57664=⋋%⋟17763","layer":0}]}
+{"id":171,"expression_no_base_symbol":"($4609$⋅⇍$5693$)⨂≜($6188$∑⇟⊟$2500$)","expression":"(⋋%⋟6281⋅⇍⋋%⋟7725)⨂≜(⋋%⋟8435∑⇟⊟⋋%⋟3377)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":60,"operation_count":3,"complexity_ratio":20.0,"tree":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":4609,"base":9},"right_expr":{"type":"numeric_atoms","value":5693,"base":9}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":6188,"base":9},"right_expr":{"type":"numeric_atoms","value":2500,"base":9}}},"used_operators":["k1SHOSEABc","AdZkA7nFnk","U7g4x0WXJJ"],"dependent_operators":["9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=4609","layer":2},{"info":"number node, value=5693","layer":2},{"info":"compute binary expreesion, left_input=4609, right_input=5693, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":1},{"info":"number node, value=6188","layer":2},{"info":"number node, value=2500","layer":2},{"info":"compute binary expreesion, left_input=6188, right_input=2500, 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=-22, right_input=nan, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟6281⋅⇍⋋%⋟7725)⨂≜(⋋%⋟8435∑⇟⊟⋋%⋟3377)=NaN","reverse_text":"NaN=(⋋%⋟6281⋅⇍⋋%⋟7725)⨂≜(⋋%⋟8435∑⇟⊟⋋%⋟3377)","cot":[{"info":"⋋%⋟6281⋅⇍⋋%⋟7725=⋋%⋟-24","layer":1},{"info":"⋋%⋟8435∑⇟⊟⋋%⋟3377=NaN","layer":1},{"info":"⋋%⋟-24⨂≜NaN=NaN","layer":0}]}
+{"id":172,"expression_no_base_symbol":"$4257$↞⋁$1179$⨑⩅≇($2597$∠⫱$1501$)","expression":"⋋%⋟5750↞⋁⋋%⋟1550⨑⩅≇(⋋%⋟3505∠⫱⋋%⋟2047)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":283,"operation_count":3,"complexity_ratio":94.33333333333333,"tree":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":4257,"base":9},"right_expr":{"type":"numeric_atoms","value":1179,"base":9}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":2597,"base":9},"right_expr":{"type":"numeric_atoms","value":1501,"base":9}}},"used_operators":["h92wMvzauj","RqrPlJkxDo","QvoQhV0rrE"],"dependent_operators":["s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP"],"result":"⋋%⋟1248","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=4257","layer":2},{"info":"number node, value=1179","layer":2},{"info":"compute binary expreesion, left_input=4257, right_input=1179, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":1},{"info":"number node, value=2597","layer":2},{"info":"number node, value=1501","layer":2},{"info":"compute binary expreesion, left_input=2597, right_input=1501, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":1},{"info":"compute binary expreesion, left_input=nan, 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=935","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟5750↞⋁⋋%⋟1550⨑⩅≇(⋋%⋟3505∠⫱⋋%⋟2047)=⋋%⋟1248","reverse_text":"⋋%⋟1248=⋋%⋟5750↞⋁⋋%⋟1550⨑⩅≇(⋋%⋟3505∠⫱⋋%⋟2047)","cot":[{"info":"⋋%⋟5750↞⋁⋋%⋟1550=NaN","layer":1},{"info":"⋋%⋟3505∠⫱⋋%⋟2047=⋋%⋟1621","layer":1},{"info":"NaN⨑⩅≇⋋%⋟1621=⋋%⋟1248","layer":0}]}
+{"id":173,"expression_no_base_symbol":"($6797$≠≀$1527$)∌(⫎≠⋺$2497$)","expression":"(⋋%⋟10282≠≀⋋%⋟2076)∌(⫎≠⋺⋋%⋟3374)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":33,"operation_count":3,"complexity_ratio":11.0,"tree":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":6797,"base":9},"right_expr":{"type":"numeric_atoms","value":1527,"base":9}},"right_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"numeric_atoms","value":2497,"base":9}}},"used_operators":["8cLx32lpNA","IwW236VD4Y","LYeZOJ0nQG"],"dependent_operators":["N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C"],"result":"⋋%⋟-20204","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=6797","layer":2},{"info":"number node, value=1527","layer":2},{"info":"compute binary expreesion, left_input=6797, right_input=1527, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-13288","layer":1},{"info":"number node, value=2497","layer":2},{"info":"compute unary expreesion, input=2497, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-13288, right_input=0, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-13288","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟10282≠≀⋋%⋟2076)∌(⫎≠⋺⋋%⋟3374)=⋋%⋟-20204","reverse_text":"⋋%⋟-20204=(⋋%⋟10282≠≀⋋%⋟2076)∌(⫎≠⋺⋋%⋟3374)","cot":[{"info":"⋋%⋟10282≠≀⋋%⋟2076=⋋%⋟-20204","layer":1},{"info":"⫎≠⋺⋋%⋟3374=⋋%⋟0","layer":1},{"info":"⋋%⋟-20204∌⋋%⋟0=⋋%⋟-20204","layer":0}]}
+{"id":174,"expression_no_base_symbol":"(↯⪼$4669$)≴⪞⇿($1156$∕⩚$5858$)","expression":"(↯⪼⋋%⋟6357)≴⪞⇿(⋋%⋟1524∕⩚⋋%⋟8028)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1243,"operation_count":3,"complexity_ratio":414.3333333333333,"tree":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":4669,"base":9}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":1156,"base":9},"right_expr":{"type":"numeric_atoms","value":5858,"base":9}}},"used_operators":["lvlrscuwVU","8jW3W4yZS5","z9ffQ9n5Zr"],"dependent_operators":["DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr"],"result":"⋋%⋟-27163","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=4669","layer":2},{"info":"compute unary expreesion, input=4669, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":1},{"info":"number node, value=1156","layer":2},{"info":"number node, value=5858","layer":2},{"info":"compute binary expreesion, left_input=1156, right_input=5858, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-1159","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=-1159, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=-18363","layer":0}],"base":9,"result_base":9,"text":"(↯⪼⋋%⋟6357)≴⪞⇿(⋋%⋟1524∕⩚⋋%⋟8028)=⋋%⋟-27163","reverse_text":"⋋%⋟-27163=(↯⪼⋋%⋟6357)≴⪞⇿(⋋%⋟1524∕⩚⋋%⋟8028)","cot":[{"info":"↯⪼⋋%⋟6357=⋋%⋟-23","layer":1},{"info":"⋋%⋟1524∕⩚⋋%⋟8028=⋋%⋟-1527","layer":1},{"info":"⋋%⋟-23≴⪞⇿⋋%⋟-1527=⋋%⋟-27163","layer":0}]}
+{"id":175,"expression_no_base_symbol":"$8707$⩒⫫$1860$⩨$2981$⫯⪬∳$2332$","expression":"⋋%⋟12844⩒⫫⋋%⋟2486⩨⋋%⋟4072⫯⪬∳⋋%⋟3171","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":40,"operation_count":3,"complexity_ratio":13.333333333333334,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":8707,"base":9},"right_expr":{"type":"numeric_atoms","value":1860,"base":9}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":2981,"base":9},"right_expr":{"type":"numeric_atoms","value":2332,"base":9}}},"used_operators":["2DlMacCsIx","KFSx94NKJn","d7ASUq0ydm"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2"],"result":"⋋%⋟-3","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=8707","layer":2},{"info":"number node, value=1860","layer":2},{"info":"compute binary expreesion, left_input=8707, right_input=1860, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=8405","layer":1},{"info":"number node, value=2981","layer":2},{"info":"number node, value=2332","layer":2},{"info":"compute binary expreesion, left_input=2981, right_input=2332, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=12606","layer":1},{"info":"compute binary expreesion, left_input=8405, right_input=12606, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟12844⩒⫫⋋%⋟2486⩨⋋%⋟4072⫯⪬∳⋋%⋟3171=⋋%⋟-3","reverse_text":"⋋%⋟-3=⋋%⋟12844⩒⫫⋋%⋟2486⩨⋋%⋟4072⫯⪬∳⋋%⋟3171","cot":[{"info":"⋋%⋟12844⩒⫫⋋%⋟2486=⋋%⋟12468","layer":1},{"info":"⋋%⋟4072⫯⪬∳⋋%⋟3171=⋋%⋟18256","layer":1},{"info":"⋋%⋟12468⩨⋋%⋟18256=⋋%⋟-3","layer":0}]}
+{"id":176,"expression_no_base_symbol":"(↞≼$1789$)⨎$4400$⪡$1508$","expression":"(↞≼⋋%⋟2407)⨎⋋%⋟6028⪡⋋%⋟2055","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":30,"operation_count":3,"complexity_ratio":10.0,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"numeric_atoms","value":1789,"base":9}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":4400,"base":9},"right_expr":{"type":"numeric_atoms","value":1508,"base":9}}},"used_operators":["rJVOvQCfKK","DE7zCoGJt9","oraRL2iQuh"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R"],"result":"⋋%⋟128","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1789","layer":2},{"info":"compute unary expreesion, input=1789, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=13898","layer":1},{"info":"number node, value=4400","layer":2},{"info":"number node, value=1508","layer":2},{"info":"compute binary expreesion, left_input=4400, right_input=1508, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":1},{"info":"compute binary expreesion, left_input=13898, right_input=107, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=107","layer":0}],"base":9,"result_base":9,"text":"(↞≼⋋%⋟2407)⨎⋋%⋟6028⪡⋋%⋟2055=⋋%⋟128","reverse_text":"⋋%⋟128=(↞≼⋋%⋟2407)⨎⋋%⋟6028⪡⋋%⋟2055","cot":[{"info":"↞≼⋋%⋟2407=⋋%⋟21052","layer":1},{"info":"⋋%⋟6028⪡⋋%⋟2055=⋋%⋟128","layer":1},{"info":"⋋%⋟21052⨎⋋%⋟128=⋋%⋟128","layer":0}]}
+{"id":177,"expression_no_base_symbol":"($1572$⪉⨛$1216$)∠↢$3178$⪒⊣⊆$3871$","expression":"(⋋%⋟2136⪉⨛⋋%⋟1601)∠↢⋋%⋟4321⪒⊣⊆⋋%⋟5271","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":37,"operation_count":3,"complexity_ratio":12.333333333333334,"tree":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":1572,"base":9},"right_expr":{"type":"numeric_atoms","value":1216,"base":9}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":3178,"base":9},"right_expr":{"type":"numeric_atoms","value":3871,"base":9}}},"used_operators":["KbjG8mgYpV","EWw2JM7wp4","eRqsBgTDFp"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","sdazOOVcIp","W4YGzv6Whe"],"result":"⋋%⋟-165860","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1572","layer":2},{"info":"number node, value=1216","layer":2},{"info":"compute binary expreesion, left_input=1572, right_input=1216, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=3715","layer":1},{"info":"number node, value=3178","layer":2},{"info":"number node, value=3871","layer":2},{"info":"compute binary expreesion, left_input=3178, right_input=3871, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=6356","layer":1},{"info":"compute binary expreesion, left_input=3715, right_input=6356, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-102762","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟2136⪉⨛⋋%⋟1601)∠↢⋋%⋟4321⪒⊣⊆⋋%⋟5271=⋋%⋟-165860","reverse_text":"⋋%⋟-165860=(⋋%⋟2136⪉⨛⋋%⋟1601)∠↢⋋%⋟4321⪒⊣⊆⋋%⋟5271","cot":[{"info":"⋋%⋟2136⪉⨛⋋%⋟1601=⋋%⋟5077","layer":1},{"info":"⋋%⋟4321⪒⊣⊆⋋%⋟5271=⋋%⋟8642","layer":1},{"info":"⋋%⋟5077∠↢⋋%⋟8642=⋋%⋟-165860","layer":0}]}
+{"id":178,"expression_no_base_symbol":"⪡⇡≛($8977$≁$1311$)","expression":"⪡⇡≛(⋋%⋟13274≁⋋%⋟1716)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":101,"operation_count":2,"complexity_ratio":50.5,"tree":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":8977,"base":9},"right_expr":{"type":"numeric_atoms","value":1311,"base":9}}},"used_operators":["qL4PrbW1Dq","8N2wDY1A35"],"dependent_operators":["oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v"],"result":"⋋%⋟-27042","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=8977","layer":2},{"info":"number node, value=1311","layer":2},{"info":"compute binary expreesion, left_input=8977, right_input=1311, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=18263","layer":1},{"info":"compute unary expreesion, input=18263, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-18263","layer":0}],"base":9,"result_base":9,"text":"⪡⇡≛(⋋%⋟13274≁⋋%⋟1716)=⋋%⋟-27042","reverse_text":"⋋%⋟-27042=⪡⇡≛(⋋%⋟13274≁⋋%⋟1716)","cot":[{"info":"⋋%⋟13274≁⋋%⋟1716=⋋%⋟27042","layer":1},{"info":"⪡⇡≛⋋%⋟27042=⋋%⋟-27042","layer":0}]}
+{"id":179,"expression_no_base_symbol":"$2454$≦↸$5588$⪎⩰","expression":"⋋%⋟3326≦↸⋋%⋟7588⪎⩰","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":45,"operation_count":2,"complexity_ratio":22.5,"tree":{"type":"unary","operator":"⪎⩰","unary_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":2454,"base":9},"right_expr":{"type":"numeric_atoms","value":5588,"base":9}}},"used_operators":["2ufhKmSs5H","RygbFNSyEJ"],"dependent_operators":["DpFCA1CohY","N41Kp7NANJ","sdazOOVcIp","EBcxylXtPf","f6k1SAg4EE","COABgblf1C","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj"],"result":"⋋%⋟-537626","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2454","layer":2},{"info":"number node, value=5588","layer":2},{"info":"compute binary expreesion, left_input=2454, right_input=5588, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-15403","layer":1},{"info":"compute unary expreesion, input=-15403, op_id = 2ufhKmSs5H, unary_op_definition = 'a⪎⩰ = { (17≋⫹) , if a>=326 and a!=597 ; (((a⪒a)⫌⩹⨱)⊭↱(⋗⩬⋾(756⪨≂a))) , else }', output=-320541","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟3326≦↸⋋%⋟7588⪎⩰=⋋%⋟-537626","reverse_text":"⋋%⋟-537626=⋋%⋟3326≦↸⋋%⋟7588⪎⩰","cot":[{"info":"⋋%⋟3326≦↸⋋%⋟7588=⋋%⋟-23114","layer":1},{"info":"⋋%⋟-23114⪎⩰=⋋%⋟-537626","layer":0}]}
+{"id":180,"expression_no_base_symbol":"≛$5300$⋛$1083$","expression":"≛⋋%⋟7238⋛⋋%⋟1433","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":292,"operation_count":2,"complexity_ratio":146.0,"tree":{"type":"unary","operator":"≛","unary_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":5300,"base":9},"right_expr":{"type":"numeric_atoms","value":1083,"base":9}}},"used_operators":["W7eaUhjymW","YbUVn0Rbpy"],"dependent_operators":["W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA"],"result":"⋋%⋟-277113","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=5300","layer":2},{"info":"number node, value=1083","layer":2},{"info":"compute binary expreesion, left_input=5300, right_input=1083, 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=-84492","layer":1},{"info":"compute unary expreesion, input=-84492, 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=-169221","layer":0}],"base":9,"result_base":9,"text":"≛⋋%⋟7238⋛⋋%⋟1433=⋋%⋟-277113","reverse_text":"⋋%⋟-277113=≛⋋%⋟7238⋛⋋%⋟1433","cot":[{"info":"⋋%⋟7238⋛⋋%⋟1433=⋋%⋟-137810","layer":1},{"info":"≛⋋%⋟-137810=⋋%⋟-277113","layer":0}]}
+{"id":181,"expression_no_base_symbol":"(∮$3857$)∠↢($1605$⫩⊇)","expression":"(∮⋋%⋟5255)∠↢(⋋%⋟2173⫩⊇)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":323,"operation_count":3,"complexity_ratio":107.66666666666667,"tree":{"type":"binary","operator":"∠↢","left_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"numeric_atoms","value":3857,"base":9}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":1605,"base":9}}},"used_operators":["KbjG8mgYpV","CqXKPLVYql","BjRHVeLaeN"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","rysDP5nf3Z","t8gj7n24qd"],"result":"⋋%⋟34117","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3857","layer":2},{"info":"compute unary expreesion, input=3857, 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":1},{"info":"number node, value=1605","layer":2},{"info":"compute unary expreesion, input=1605, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-1563","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=-1563, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=22696","layer":0}],"base":9,"result_base":9,"text":"(∮⋋%⋟5255)∠↢(⋋%⋟2173⫩⊇)=⋋%⋟34117","reverse_text":"⋋%⋟34117=(∮⋋%⋟5255)∠↢(⋋%⋟2173⫩⊇)","cot":[{"info":"∮⋋%⋟5255=⋋%⋟74","layer":1},{"info":"⋋%⋟2173⫩⊇=⋋%⋟-2126","layer":1},{"info":"⋋%⋟74∠↢⋋%⋟-2126=⋋%⋟34117","layer":0}]}
+{"id":182,"expression_no_base_symbol":"(∂⩏⊆$1644$)≄⊠($3402$∽$1730$)","expression":"(∂⩏⊆⋋%⋟2226)≄⊠(⋋%⋟4600∽⋋%⋟2332)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":95,"operation_count":3,"complexity_ratio":31.666666666666668,"tree":{"type":"binary","operator":"≄⊠","left_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"numeric_atoms","value":1644,"base":9}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":3402,"base":9},"right_expr":{"type":"numeric_atoms","value":1730,"base":9}}},"used_operators":["vXNesLlMH1","8WDwsbhb0R","y4ImoPnbV5"],"dependent_operators":["d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","14qkJME0vr","eLAdDNolq6","NTOWxs364D","QMFrweE19q"],"result":"⋋%⋟2046","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1644","layer":2},{"info":"compute unary expreesion, input=1644, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-5011","layer":1},{"info":"number node, value=3402","layer":2},{"info":"number node, value=1730","layer":2},{"info":"compute binary expreesion, left_input=3402, right_input=1730, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-22022","layer":1},{"info":"compute binary expreesion, left_input=-5011, right_input=-22022, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1500","layer":0}],"base":9,"result_base":9,"text":"(∂⩏⊆⋋%⋟2226)≄⊠(⋋%⋟4600∽⋋%⋟2332)=⋋%⋟2046","reverse_text":"⋋%⋟2046=(∂⩏⊆⋋%⋟2226)≄⊠(⋋%⋟4600∽⋋%⋟2332)","cot":[{"info":"∂⩏⊆⋋%⋟2226=⋋%⋟-6777","layer":1},{"info":"⋋%⋟4600∽⋋%⋟2332=⋋%⋟-33178","layer":1},{"info":"⋋%⋟-6777≄⊠⋋%⋟-33178=⋋%⋟2046","layer":0}]}
+{"id":183,"expression_no_base_symbol":"($1107$⊾⪯⋞$3129$)⊹∫⫚$7097$⋣⋖$3534$","expression":"(⋋%⋟1460⊾⪯⋞⋋%⋟4256)⊹∫⫚⋋%⋟10655⋣⋖⋋%⋟4756","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":137,"operation_count":3,"complexity_ratio":45.666666666666664,"tree":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":1107,"base":9},"right_expr":{"type":"numeric_atoms","value":3129,"base":9}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":7097,"base":9},"right_expr":{"type":"numeric_atoms","value":3534,"base":9}}},"used_operators":["uWAJUKEvyW","HK0tfVPux8","J0M6qkBnIM"],"dependent_operators":["BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2"],"result":"⋋%⋟-147","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1107","layer":2},{"info":"number node, value=3129","layer":2},{"info":"compute binary expreesion, left_input=1107, right_input=3129, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=5832","layer":1},{"info":"number node, value=7097","layer":2},{"info":"number node, value=3534","layer":2},{"info":"compute binary expreesion, left_input=7097, right_input=3534, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=7097","layer":1},{"info":"compute binary expreesion, left_input=5832, right_input=7097, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-124","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟1460⊾⪯⋞⋋%⋟4256)⊹∫⫚⋋%⋟10655⋣⋖⋋%⋟4756=⋋%⋟-147","reverse_text":"⋋%⋟-147=(⋋%⋟1460⊾⪯⋞⋋%⋟4256)⊹∫⫚⋋%⋟10655⋣⋖⋋%⋟4756","cot":[{"info":"⋋%⋟1460⊾⪯⋞⋋%⋟4256=⋋%⋟8000","layer":1},{"info":"⋋%⋟10655⋣⋖⋋%⋟4756=⋋%⋟10655","layer":1},{"info":"⋋%⋟8000⊹∫⫚⋋%⋟10655=⋋%⋟-147","layer":0}]}
+{"id":184,"expression_no_base_symbol":"($5018$⊲⩕⊾$7083$)⩦($2329$⪁$5057$)","expression":"(⋋%⋟6785⊲⩕⊾⋋%⋟10640)⩦(⋋%⋟3167⪁⋋%⋟6838)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":30915065,"operation_count":3,"complexity_ratio":10305021.666666666,"tree":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":5018,"base":9},"right_expr":{"type":"numeric_atoms","value":7083,"base":9}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":2329,"base":9},"right_expr":{"type":"numeric_atoms","value":5057,"base":9}}},"used_operators":["0kmYd0q39Y","DmTXOeWf9t","I7sXao9hZE"],"dependent_operators":["N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=5018","layer":2},{"info":"number node, value=7083","layer":2},{"info":"compute binary expreesion, left_input=5018, right_input=7083, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-147748","layer":1},{"info":"number node, value=2329","layer":2},{"info":"number node, value=5057","layer":2},{"info":"compute binary expreesion, left_input=2329, right_input=5057, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽���≇)⪢a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-147748, right_input=nan, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟6785⊲⩕⊾⋋%⋟10640)⩦(⋋%⋟3167⪁⋋%⋟6838)=NaN","reverse_text":"NaN=(⋋%⋟6785⊲⩕⊾⋋%⋟10640)⩦(⋋%⋟3167⪁⋋%⋟6838)","cot":[{"info":"⋋%⋟6785⊲⩕⊾⋋%⋟10640=⋋%⋟-244604","layer":1},{"info":"⋋%⋟3167⪁⋋%⋟6838=NaN","layer":1},{"info":"⋋%⋟-244604⩦NaN=NaN","layer":0}]}
+{"id":185,"expression_no_base_symbol":"($3538$∠⫱$1065$)∼(∷≠$1086$)","expression":"(⋋%⋟4761∠⫱⋋%⋟1413)∼(∷≠⋋%⋟1436)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":37,"operation_count":3,"complexity_ratio":12.333333333333334,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":3538,"base":9},"right_expr":{"type":"numeric_atoms","value":1065,"base":9}},"right_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"numeric_atoms","value":1086,"base":9}}},"used_operators":["DyGG3AbaNP","QvoQhV0rrE","QiR2Oyf5Xj"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","7j4O788W3g"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=3538","layer":2},{"info":"number node, value=1065","layer":2},{"info":"compute binary expreesion, left_input=3538, right_input=1065, 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=1086","layer":2},{"info":"compute unary expreesion, input=1086, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=1086","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=1086, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟4761∠⫱⋋%⋟1413)∼(∷≠⋋%⋟1436)=NaN","reverse_text":"NaN=(⋋%⋟4761∠⫱⋋%⋟1413)∼(∷≠⋋%⋟1436)","cot":[{"info":"⋋%⋟4761∠⫱⋋%⋟1413=⋋%⋟1621","layer":1},{"info":"∷≠⋋%⋟1436=⋋%⋟1436","layer":1},{"info":"⋋%⋟1621∼⋋%⋟1436=NaN","layer":0}]}
+{"id":186,"expression_no_base_symbol":"$3112$⩍⋽⫝̸$1415$⇴∐($2897$⊵↤)","expression":"⋋%⋟4237⩍⋽⫝̸⋋%⋟1842⇴∐(⋋%⋟3868⊵↤)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4552,"operation_count":3,"complexity_ratio":1517.3333333333333,"tree":{"type":"binary","operator":"⇴∐","left_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":3112,"base":9},"right_expr":{"type":"numeric_atoms","value":1415,"base":9}},"right_expr":{"type":"unary","operator":"⊵↤","unary_expr":{"type":"numeric_atoms","value":2897,"base":9}}},"used_operators":["HnzytWxmAO","BiWNJpBvwn","7IPrd9c3lf"],"dependent_operators":["2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","Ph9nP6C5qx","xUOZtlo3hN","eLAdDNolq6","W4YGzv6Whe","9FxExcQeMw","Qy55tPpLXF","BjRHVeLaeN","tifHPKVTfV","2DDjHMKMc0","f6k1SAg4EE","Z2TMIBDE3Q","eewbuw0ToL","QMFrweE19q"],"result":"⋋%⋟475","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=3112","layer":2},{"info":"number node, value=1415","layer":2},{"info":"compute binary expreesion, left_input=3112, right_input=1415, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=469","layer":1},{"info":"number node, value=2897","layer":2},{"info":"compute unary expreesion, input=2897, 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":1},{"info":"compute binary expreesion, left_input=469, right_input=67, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=392","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟4237⩍⋽⫝̸⋋%⋟1842⇴∐(⋋%⋟3868⊵↤)=⋋%⋟475","reverse_text":"⋋%⋟475=⋋%⋟4237⩍⋽⫝̸⋋%⋟1842⇴∐(⋋%⋟3868⊵↤)","cot":[{"info":"⋋%⋟4237⩍⋽⫝̸⋋%⋟1842=⋋%⋟571","layer":1},{"info":"⋋%⋟3868⊵↤=⋋%⋟74","layer":1},{"info":"⋋%⋟571⇴∐⋋%⋟74=⋋%⋟475","layer":0}]}
+{"id":187,"expression_no_base_symbol":"($5474$⨐⩸⫘$4430$)⪚⩙≫","expression":"(⋋%⋟7452⨐⩸⫘⋋%⋟6062)⪚⩙≫","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":16,"operation_count":2,"complexity_ratio":8.0,"tree":{"type":"unary","operator":"⪚⩙≫","unary_expr":{"type":"binary","operator":"��⩸⫘","left_expr":{"type":"numeric_atoms","value":5474,"base":9},"right_expr":{"type":"numeric_atoms","value":4430,"base":9}}},"used_operators":["4n53wtyJvv","fu6greOZ01"],"dependent_operators":["Uaa54Peajs","nCS4ZIUYfx","WR6HLWljOP","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=5474","layer":2},{"info":"number node, value=4430","layer":2},{"info":"compute binary expreesion, left_input=5474, right_input=4430, 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 = 4n53wtyJvv, unary_op_definition = 'a⪚⩙≫ = { ((316↢a)⨳⩥⨓(∂255)) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟7452⨐⩸⫘⋋%⋟6062)⪚⩙≫=NaN","reverse_text":"NaN=(⋋%⋟7452⨐⩸⫘⋋%⋟6062)⪚⩙≫","cot":[{"info":"⋋%⋟7452⨐⩸⫘⋋%⋟6062=NaN","layer":1},{"info":"NaN⪚⩙≫=NaN","layer":0}]}
+{"id":188,"expression_no_base_symbol":"⫎≠⋺(⪁⇼$7150$)","expression":"⫎≠⋺(⪁⇼⋋%⋟10724)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":22,"operation_count":2,"complexity_ratio":11.0,"tree":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"numeric_atoms","value":7150,"base":9}}},"used_operators":["LYeZOJ0nQG","ZNVVrZ94lY"],"dependent_operators":["9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV"],"result":"⋋%⋟-867","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=7150","layer":2},{"info":"compute unary expreesion, input=7150, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":1},{"info":"compute unary expreesion, input=422, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=-709","layer":0}],"base":9,"result_base":9,"text":"⫎≠⋺(⪁⇼⋋%⋟10724)=⋋%⋟-867","reverse_text":"⋋%⋟-867=⫎≠⋺(⪁⇼⋋%⋟10724)","cot":[{"info":"⪁⇼⋋%⋟10724=⋋%⋟518","layer":1},{"info":"⫎≠⋺⋋%⋟518=⋋%⋟-867","layer":0}]}
+{"id":189,"expression_no_base_symbol":"(≯$1263$)⊮⊟↴($2200$⨎$4107$)","expression":"(≯⋋%⋟1653)⊮⊟↴(⋋%⋟3014⨎⋋%⋟5563)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":54,"operation_count":3,"complexity_ratio":18.0,"tree":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"numeric_atoms","value":1263,"base":9}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2200,"base":9},"right_expr":{"type":"numeric_atoms","value":4107,"base":9}}},"used_operators":["QDVgd2eftb","keWfFq85dY","rJVOvQCfKK"],"dependent_operators":["XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","g55IO6H4Gj","JLbD19bQDL","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"⋋%⋟0","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1263","layer":2},{"info":"compute unary expreesion, input=1263, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":1},{"info":"number node, value=2200","layer":2},{"info":"number node, value=4107","layer":2},{"info":"compute binary expreesion, left_input=2200, right_input=4107, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4107","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=4107, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":0}],"base":9,"result_base":9,"text":"(≯⋋%⋟1653)⊮⊟↴(⋋%⋟3014⨎⋋%⋟5563)=⋋%⋟0","reverse_text":"⋋%⋟0=(≯⋋%⋟1653)⊮⊟↴(⋋%⋟3014⨎⋋%⋟5563)","cot":[{"info":"≯⋋%⋟1653=⋋%⋟0","layer":1},{"info":"⋋%⋟3014⨎⋋%⋟5563=⋋%⋟5563","layer":1},{"info":"⋋%⋟0⊮⊟↴⋋%⋟5563=⋋%⋟0","layer":0}]}
+{"id":190,"expression_no_base_symbol":"($1933$⪶≀⋏$1168$)⫘($4271$∖$2147$)","expression":"(⋋%⋟2577⪶≀⋏⋋%⋟1537)⫘(⋋%⋟5765∖⋋%⋟2845)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8950,"operation_count":3,"complexity_ratio":2983.3333333333335,"tree":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":1933,"base":9},"right_expr":{"type":"numeric_atoms","value":1168,"base":9}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":4271,"base":9},"right_expr":{"type":"numeric_atoms","value":2147,"base":9}}},"used_operators":["48vC8HMD2b","zR4jO40bMj","tXD093vOjl"],"dependent_operators":["OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC"],"result":"⋋%⋟20463374","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1933","layer":2},{"info":"number node, value=1168","layer":2},{"info":"compute binary expreesion, left_input=1933, right_input=1168, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-8367","layer":1},{"info":"number node, value=4271","layer":2},{"info":"number node, value=2147","layer":2},{"info":"compute binary expreesion, left_input=4271, right_input=2147, 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=-8367, right_input=0, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=9843997","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟2577⪶≀⋏⋋%⋟1537)⫘(⋋%⋟5765∖⋋%⋟2845)=⋋%⋟20463374","reverse_text":"⋋%⋟20463374=(⋋%⋟2577⪶≀⋏⋋%⋟1537)⫘(⋋%⋟5765∖⋋%⋟2845)","cot":[{"info":"⋋%⋟2577⪶≀⋏⋋%⋟1537=⋋%⋟-12426","layer":1},{"info":"⋋%⋟5765∖⋋%⋟2845=⋋%⋟0","layer":1},{"info":"⋋%⋟-12426⫘⋋%⋟0=⋋%⋟20463374","layer":0}]}
+{"id":191,"expression_no_base_symbol":"$3574$+⪬∐$7712$⨪↰⇹(≅≯⇸$1786$)","expression":"⋋%⋟4811+⪬∐⋋%⋟11518⨪↰⇹(≅≯⇸⋋%⋟2404)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":10739,"operation_count":3,"complexity_ratio":3579.6666666666665,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":3574,"base":9},"right_expr":{"type":"numeric_atoms","value":7712,"base":9}},"right_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"numeric_atoms","value":1786,"base":9}}},"used_operators":["tmPS8pqC7x","2GS7woTJqF","apS25hmuAe"],"dependent_operators":["rJVOvQCfKK","g55IO6H4Gj","D4vGDi5EA2","EBcxylXtPf","QMFrweE19q"],"result":"⋋%⋟-15633","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3574","layer":2},{"info":"number node, value=7712","layer":2},{"info":"compute binary expreesion, left_input=3574, right_input=7712, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-10722","layer":1},{"info":"number node, value=1786","layer":2},{"info":"compute unary expreesion, input=1786, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=14821","layer":1},{"info":"compute binary expreesion, left_input=-10722, right_input=14821, 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=-10722","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟4811+⪬∐⋋%⋟11518⨪↰⇹(≅≯⇸⋋%⋟2404)=⋋%⋟-15633","reverse_text":"⋋%⋟-15633=⋋%⋟4811+⪬∐⋋%⋟11518⨪↰⇹(≅≯⇸⋋%⋟2404)","cot":[{"info":"⋋%⋟4811+⪬∐⋋%⋟11518=⋋%⋟-15633","layer":1},{"info":"≅≯⇸⋋%⋟2404=⋋%⋟22287","layer":1},{"info":"⋋%⋟-15633⨪↰⇹⋋%⋟22287=⋋%⋟-15633","layer":0}]}
+{"id":192,"expression_no_base_symbol":"($3440$⊉≛↸$2524$)↼⊘⨖$3993$⪝$1350$","expression":"(⋋%⋟4642⊉≛↸⋋%⋟3414)↼⊘⨖⋋%⋟5426⪝⋋%⋟1760","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":429,"operation_count":3,"complexity_ratio":143.0,"tree":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":3440,"base":9},"right_expr":{"type":"numeric_atoms","value":2524,"base":9}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":3993,"base":9},"right_expr":{"type":"numeric_atoms","value":1350,"base":9}}},"used_operators":["bPywburJMS","DZ8iAZOCBD","wicAB68Tmb"],"dependent_operators":["9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X"],"result":"⋋%⋟-33356","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3440","layer":2},{"info":"number node, value=2524","layer":2},{"info":"compute binary expreesion, left_input=3440, right_input=2524, op_id = DZ8iAZOCBD binary_op_definition= 'a���≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=6880","layer":1},{"info":"number node, value=3993","layer":2},{"info":"number node, value=1350","layer":2},{"info":"compute binary expreesion, left_input=3993, right_input=1350, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-10971","layer":1},{"info":"compute binary expreesion, left_input=6880, right_input=-10971, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=-22164","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟4642⊉≛↸⋋%⋟3414)↼⊘⨖⋋%⋟5426⪝⋋%⋟1760=⋋%⋟-33356","reverse_text":"⋋%⋟-33356=(⋋%⋟4642⊉≛↸⋋%⋟3414)↼⊘⨖⋋%⋟5426⪝⋋%⋟1760","cot":[{"info":"⋋%⋟4642⊉≛↸⋋%⋟3414=⋋%⋟10384","layer":1},{"info":"⋋%⋟5426⪝⋋%⋟1760=⋋%⋟-16040","layer":1},{"info":"⋋%⋟10384↼⊘⨖⋋%⋟-16040=⋋%⋟-33356","layer":0}]}
+{"id":193,"expression_no_base_symbol":"⫡⇟⇯($3029$⨑≵⋬$1501$)","expression":"⫡⇟⇯(⋋%⋟4135⨑≵⋬⋋%⋟2047)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":23,"operation_count":2,"complexity_ratio":11.5,"tree":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":3029,"base":9},"right_expr":{"type":"numeric_atoms","value":1501,"base":9}}},"used_operators":["qWUSsah53b","XnXgA4xnOs"],"dependent_operators":["DZ8iAZOCBD","P8v4zCKN1o","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q"],"result":"⋋%⋟18625","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3029","layer":2},{"info":"number node, value=1501","layer":2},{"info":"compute binary expreesion, left_input=3029, right_input=1501, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=6017","layer":1},{"info":"compute unary expreesion, input=6017, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=12902","layer":0}],"base":9,"result_base":9,"text":"⫡⇟⇯(⋋%⋟4135⨑≵⋬⋋%⋟2047)=⋋%⋟18625","reverse_text":"⋋%⋟18625=⫡⇟⇯(⋋%⋟4135⨑≵⋬⋋%⋟2047)","cot":[{"info":"⋋%⋟4135⨑≵⋬⋋%⋟2047=⋋%⋟8225","layer":1},{"info":"⫡⇟⇯⋋%⋟8225=⋋%⋟18625","layer":0}]}
+{"id":194,"expression_no_base_symbol":"(⩩$3994$)≴⪞⇿(⫡⇟⇯$3864$)","expression":"(⩩⋋%⋟5427)≴⪞⇿(⫡⇟⇯⋋%⋟5263)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4972,"operation_count":3,"complexity_ratio":1657.3333333333333,"tree":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"numeric_atoms","value":3994,"base":9}},"right_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"numeric_atoms","value":3864,"base":9}}},"used_operators":["lvlrscuwVU","kMhfGuqI2H","qWUSsah53b"],"dependent_operators":["DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","DZ8iAZOCBD","P8v4zCKN1o"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3994","layer":2},{"info":"compute unary expreesion, input=3994, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":1},{"info":"number node, value=3864","layer":2},{"info":"compute unary expreesion, input=3864, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=8596","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=8596, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(⩩⋋%⋟5427)≴⪞⇿(⫡⇟⇯⋋%⋟5263)=NaN","reverse_text":"NaN=(⩩⋋%⋟5427)≴⪞⇿(⫡⇟⇯⋋%⋟5263)","cot":[{"info":"⩩⋋%⋟5427=NaN","layer":1},{"info":"⫡⇟⇯⋋%⋟5263=⋋%⋟12711","layer":1},{"info":"NaN≴⪞⇿⋋%⋟12711=NaN","layer":0}]}
+{"id":195,"expression_no_base_symbol":"(∡$1276$)⩤","expression":"(∡⋋%⋟1667)⩤","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":11,"operation_count":2,"complexity_ratio":5.5,"tree":{"type":"unary","operator":"⩤","unary_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"numeric_atoms","value":1276,"base":9}}},"used_operators":["Z2TMIBDE3Q","pRsWfj4Fpp"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0"],"result":"⋋%⋟1667","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1276","layer":2},{"info":"compute unary expreesion, input=1276, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=-1276","layer":1},{"info":"compute unary expreesion, input=-1276, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=1276","layer":0}],"base":9,"result_base":9,"text":"(∡⋋%⋟1667)⩤=⋋%⋟1667","reverse_text":"⋋%⋟1667=(∡⋋%⋟1667)⩤","cot":[{"info":"∡⋋%⋟1667=⋋%⋟-1667","layer":1},{"info":"⋋%⋟-1667⩤=⋋%⋟1667","layer":0}]}
+{"id":196,"expression_no_base_symbol":"($1207$⨔≚≋$2741$)⊲⩕⊾($2469$≫≃)","expression":"(⋋%⋟1581⨔≚≋⋋%⋟3675)⊲⩕⊾(⋋%⋟3343≫≃)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":82,"operation_count":3,"complexity_ratio":27.333333333333332,"tree":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":1207,"base":9},"right_expr":{"type":"numeric_atoms","value":2741,"base":9}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":2469,"base":9}}},"used_operators":["DmTXOeWf9t","Z57zeUYC9z","X99M06cbEe"],"dependent_operators":["23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A"],"result":"⋋%⋟-362001","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1207","layer":2},{"info":"number node, value=2741","layer":2},{"info":"compute binary expreesion, left_input=1207, right_input=2741, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":1},{"info":"number node, value=2469","layer":2},{"info":"compute unary expreesion, input=2469, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=6339","layer":1},{"info":"compute binary expreesion, left_input=9872, right_input=6339, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-217972","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟1581⨔≚≋⋋%⋟3675)⊲⩕⊾(⋋%⋟3343≫≃)=⋋%⋟-362001","reverse_text":"⋋%⋟-362001=(⋋%⋟1581⨔≚≋⋋%⋟3675)⊲⩕⊾(⋋%⋟3343≫≃)","cot":[{"info":"⋋%⋟1581⨔≚≋⋋%⋟3675=⋋%⋟14478","layer":1},{"info":"⋋%⋟3343≫≃=⋋%⋟8623","layer":1},{"info":"⋋%⋟14478⊲⩕⊾⋋%⋟8623=⋋%⋟-362001","layer":0}]}
+{"id":197,"expression_no_base_symbol":"($1216$⊵↤)⩇∃⫛(≤/$1941$)","expression":"(⋋%⋟1601⊵↤)⩇∃⫛(≤/⋋%⋟2586)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":42,"operation_count":3,"complexity_ratio":14.0,"tree":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"unary","operator":"⊵↤","unary_expr":{"type":"numeric_atoms","value":1216,"base":9}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1941,"base":9}}},"used_operators":["1aApVXNlOP","7IPrd9c3lf","eLAdDNolq6"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","eLAdDNolq6","W4YGzv6Whe","9FxExcQeMw","Qy55tPpLXF","BjRHVeLaeN","tifHPKVTfV","2DDjHMKMc0","f6k1SAg4EE","Z2TMIBDE3Q","eewbuw0ToL","QMFrweE19q","rysDP5nf3Z"],"result":"⋋%⋟-1387","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1216","layer":2},{"info":"compute unary expreesion, input=1216, 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":1},{"info":"number node, value=1941","layer":2},{"info":"compute unary expreesion, input=1941, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1457","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=-1457, 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=-1051","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟1601⊵↤)⩇∃⫛(≤/⋋%⋟2586)=⋋%⋟-1387","reverse_text":"⋋%⋟-1387=(⋋%⋟1601⊵↤)⩇∃⫛(≤/⋋%⋟2586)","cot":[{"info":"⋋%⋟1601⊵↤=⋋%⋟74","layer":1},{"info":"≤/⋋%⋟2586=⋋%⋟-1888","layer":1},{"info":"⋋%⋟74⩇∃⫛⋋%⋟-1888=⋋%⋟-1387","layer":0}]}
+{"id":198,"expression_no_base_symbol":"($1211$⩚⊴⇥$1070$)⩖⊿(⨙⪌$1206$)","expression":"(⋋%⋟1585⩚⊴⇥⋋%⋟1418)⩖⊿(⨙⪌⋋%⋟1580)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":934,"operation_count":3,"complexity_ratio":311.3333333333333,"tree":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1211,"base":9},"right_expr":{"type":"numeric_atoms","value":1070,"base":9}},"right_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"numeric_atoms","value":1206,"base":9}}},"used_operators":["RZ5CV9rWsJ","NTOWxs364D","vEGLkm4Z2k"],"dependent_operators":["HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X"],"result":"⋋%⋟217","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1211","layer":2},{"info":"number node, value=1070","layer":2},{"info":"compute binary expreesion, left_input=1211, right_input=1070, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-2402","layer":1},{"info":"number node, value=1206","layer":2},{"info":"compute unary expreesion, input=1206, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":1},{"info":"compute binary expreesion, left_input=-2402, right_input=868, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=178","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟1585⩚⊴⇥⋋%⋟1418)⩖⊿(⨙⪌⋋%⋟1580)=⋋%⋟217","reverse_text":"⋋%⋟217=(⋋%⋟1585⩚⊴⇥⋋%⋟1418)⩖⊿(⨙⪌⋋%⋟1580)","cot":[{"info":"⋋%⋟1585⩚⊴⇥⋋%⋟1418=⋋%⋟-3258","layer":1},{"info":"⨙⪌⋋%⋟1580=⋋%⋟1164","layer":1},{"info":"⋋%⋟-3258⩖⊿⋋%⋟1164=⋋%⋟217","layer":0}]}
+{"id":199,"expression_no_base_symbol":"($6201$⇀∌)⪨⊡($3344$↛⩡⫤)","expression":"(⋋%⋟8450⇀∌)⪨⊡(⋋%⋟4525↛⩡⫤)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":10354,"operation_count":3,"complexity_ratio":3451.3333333333335,"tree":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"unary","operator":"⇀∌","unary_expr":{"type":"numeric_atoms","value":6201,"base":9}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":3344,"base":9}}},"used_operators":["kuIXHzHcAH","2k53nXOpI5","FU0Cs4j7VP"],"dependent_operators":["JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","Q3PJZHRvZv","ddLRYrp01A","AcOhelriW5","7t3wd0Fuz7","3tVxb0NHM4","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X"],"result":"⋋%⋟3685210","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=6201","layer":2},{"info":"compute unary expreesion, input=6201, op_id = 2k53nXOpI5, unary_op_definition = 'a⇀∌ = { ((a⪎↠(⨣⨃⇪a))⋥⋵⩄(a∊∟⩊(⊥a))) }', output=113","layer":1},{"info":"number node, value=3344","layer":2},{"info":"compute unary expreesion, input=3344, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-501033","layer":1},{"info":"compute binary expreesion, left_input=113, right_input=-501033, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=2004921","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟8450⇀∌)⪨⊡(⋋%⋟4525↛⩡⫤)=⋋%⋟3685210","reverse_text":"⋋%⋟3685210=(⋋%⋟8450⇀∌)⪨⊡(⋋%⋟4525↛⩡⫤)","cot":[{"info":"⋋%⋟8450⇀∌=⋋%⋟135","layer":1},{"info":"⋋%⋟4525↛⩡⫤=⋋%⋟-843253","layer":1},{"info":"⋋%⋟135⪨⊡⋋%⋟-843253=⋋%⋟3685210","layer":0}]}
+{"id":200,"expression_no_base_symbol":"⫎≠⋺($1406$⋣⋖$3692$)","expression":"⫎≠⋺(⋋%⋟1832⋣⋖⋋%⋟5052)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":16,"operation_count":2,"complexity_ratio":8.0,"tree":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":1406,"base":9},"right_expr":{"type":"numeric_atoms","value":3692,"base":9}}},"used_operators":["LYeZOJ0nQG","J0M6qkBnIM"],"dependent_operators":["9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2"],"result":"⋋%⋟0","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1406","layer":2},{"info":"number node, value=3692","layer":2},{"info":"compute binary expreesion, left_input=1406, right_input=3692, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=1406","layer":1},{"info":"compute unary expreesion, input=1406, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=0","layer":0}],"base":9,"result_base":9,"text":"⫎≠⋺(⋋%⋟1832⋣⋖⋋%⋟5052)=⋋%⋟0","reverse_text":"⋋%⋟0=⫎≠⋺(⋋%⋟1832⋣⋖⋋%⋟5052)","cot":[{"info":"⋋%⋟1832⋣⋖⋋%⋟5052=⋋%⋟1832","layer":1},{"info":"⫎≠⋺⋋%⋟1832=⋋%⋟0","layer":0}]}
+{"id":201,"expression_no_base_symbol":"($1949$⋳⪒$1081$)∇⊂⋱$1940$⇡⇂$6998$","expression":"(⋋%⋟2605⋳⪒⋋%⋟1431)∇⊂⋱⋋%⋟2585⇡⇂⋋%⋟10535","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":34748,"operation_count":3,"complexity_ratio":11582.666666666666,"tree":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1949,"base":9},"right_expr":{"type":"numeric_atoms","value":1081,"base":9}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":1940,"base":9},"right_expr":{"type":"numeric_atoms","value":6998,"base":9}}},"used_operators":["nhYeJWJD5X","12rbrZMWeM","UMwdvZNt44"],"dependent_operators":["P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1"],"result":"⋋%⋟6165","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1949","layer":2},{"info":"number node, value=1081","layer":2},{"info":"compute binary expreesion, left_input=1949, right_input=1081, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=2530","layer":1},{"info":"number node, value=1940","layer":2},{"info":"number node, value=6998","layer":2},{"info":"compute binary expreesion, left_input=1940, right_input=6998, 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=2530, right_input=nan, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=4514","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟2605⋳⪒⋋%⋟1431)∇⊂⋱⋋%⋟2585⇡⇂⋋%⋟10535=⋋%⋟6165","reverse_text":"⋋%⋟6165=(⋋%⋟2605⋳⪒⋋%⋟1431)∇⊂⋱⋋%⋟2585⇡⇂⋋%⋟10535","cot":[{"info":"⋋%⋟2605⋳⪒⋋%⋟1431=⋋%⋟3421","layer":1},{"info":"⋋%⋟2585⇡⇂⋋%⋟10535=NaN","layer":1},{"info":"⋋%⋟3421∇⊂⋱NaN=⋋%⋟6165","layer":0}]}
+{"id":202,"expression_no_base_symbol":"($2991$⫦⪉$1460$)⨻⩈⩔$1153$≠≀$2088$","expression":"(⋋%⋟4083⫦⪉⋋%⋟2002)⨻⩈⩔⋋%⋟1521≠≀⋋%⋟2770","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":105,"operation_count":3,"complexity_ratio":35.0,"tree":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":2991,"base":9},"right_expr":{"type":"numeric_atoms","value":1460,"base":9}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":1153,"base":9},"right_expr":{"type":"numeric_atoms","value":2088,"base":9}}},"used_operators":["nEsXyWgiOK","wscyQdcy20","IwW236VD4Y"],"dependent_operators":["D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC"],"result":"⋋%⋟-213","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2991","layer":2},{"info":"number node, value=1460","layer":2},{"info":"compute binary expreesion, left_input=2991, right_input=1460, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-1082","layer":1},{"info":"number node, value=1153","layer":2},{"info":"number node, value=2088","layer":2},{"info":"compute binary expreesion, left_input=1153, right_input=2088, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-2000","layer":1},{"info":"compute binary expreesion, left_input=-1082, right_input=-2000, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟4083⫦⪉⋋%⋟2002)⨻⩈⩔⋋%⋟1521≠≀⋋%⋟2770=⋋%⋟-213","reverse_text":"⋋%⋟-213=(⋋%⋟4083⫦⪉⋋%⋟2002)⨻⩈⩔⋋%⋟1521≠≀⋋%⋟2770","cot":[{"info":"⋋%⋟4083⫦⪉⋋%⋟2002=⋋%⋟-1432","layer":1},{"info":"⋋%⋟1521≠≀⋋%⋟2770=⋋%⋟-2662","layer":1},{"info":"⋋%⋟-1432⨻⩈⩔⋋%⋟-2662=⋋%⋟-213","layer":0}]}
+{"id":203,"expression_no_base_symbol":"($1186$⫭)⊝⪿⪼(⊥$3556$)","expression":"(⋋%⋟1557⫭)⊝⪿⪼(⊥⋋%⋟4781)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":34,"operation_count":3,"complexity_ratio":11.333333333333334,"tree":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"unary","operator":"⫭","unary_expr":{"type":"numeric_atoms","value":1186,"base":9}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":3556,"base":9}}},"used_operators":["3Oe9XWJUTD","t4WUHVGj7f","Q3PJZHRvZv"],"dependent_operators":["NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","NTOWxs364D","2DDjHMKMc0","xUOZtlo3hN","g55IO6H4Gj","fu6greOZ01"],"result":"⋋%⋟111712","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1186","layer":2},{"info":"compute unary expreesion, input=1186, op_id = t4WUHVGj7f, unary_op_definition = 'a⫭ = { (⨞⊢((a⨸⪁147)⩚⊴⇥(a⋝⋈⪟a))) }', output=3799","layer":1},{"info":"number node, value=3556","layer":2},{"info":"compute unary expreesion, input=3556, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=3799, right_input=nan, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=66917","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟1557⫭)⊝⪿⪼(⊥⋋%⋟4781)=⋋%⋟111712","reverse_text":"⋋%⋟111712=(⋋%⋟1557⫭)⊝⪿⪼(⊥⋋%⋟4781)","cot":[{"info":"⋋%⋟1557⫭=⋋%⋟5181","layer":1},{"info":"⊥⋋%⋟4781=NaN","layer":1},{"info":"⋋%⋟5181⊝⪿⪼NaN=⋋%⋟111712","layer":0}]}
+{"id":204,"expression_no_base_symbol":"(∟⋨$1808$)⫘$3171$∊∟⩊$5398$","expression":"(∟⋨⋋%⋟2428)⫘⋋%⋟4313∊∟⩊⋋%⋟7357","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3352,"operation_count":3,"complexity_ratio":1117.3333333333333,"tree":{"type":"binary","operator":"⫘","left_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"numeric_atoms","value":1808,"base":9}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":3171,"base":9},"right_expr":{"type":"numeric_atoms","value":5398,"base":9}}},"used_operators":["48vC8HMD2b","ctOc4cKSDt","ddLRYrp01A"],"dependent_operators":["OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","eLAdDNolq6","tmPS8pqC7x","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU"],"result":"⋋%⋟11863268","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1808","layer":2},{"info":"compute unary expreesion, input=1808, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-1324","layer":1},{"info":"number node, value=3171","layer":2},{"info":"number node, value=5398","layer":2},{"info":"compute binary expreesion, left_input=3171, right_input=5398, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=5398","layer":1},{"info":"compute binary expreesion, left_input=-1324, right_input=5398, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=5828579","layer":0}],"base":9,"result_base":9,"text":"(∟⋨⋋%⋟2428)⫘⋋%⋟4313∊∟⩊⋋%⋟7357=⋋%⋟11863268","reverse_text":"⋋%⋟11863268=(∟⋨⋋%⋟2428)⫘⋋%⋟4313∊∟⩊⋋%⋟7357","cot":[{"info":"∟⋨⋋%⋟2428=⋋%⋟-1731","layer":1},{"info":"⋋%⋟4313∊∟⩊⋋%⋟7357=⋋%⋟7357","layer":1},{"info":"⋋%⋟-1731⫘⋋%⋟7357=⋋%⋟11863268","layer":0}]}
+{"id":205,"expression_no_base_symbol":"$5679$⨚⇆$1166$⋅⇍($2281$∠⫱$1127$)","expression":"⋋%⋟7710⨚⇆⋋%⋟1535⋅⇍(⋋%⋟3114∠⫱⋋%⋟1482)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":39797,"operation_count":3,"complexity_ratio":13265.666666666666,"tree":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":5679,"base":9},"right_expr":{"type":"numeric_atoms","value":1166,"base":9}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":2281,"base":9},"right_expr":{"type":"numeric_atoms","value":1127,"base":9}}},"used_operators":["AdZkA7nFnk","lwHaAYXP2r","QvoQhV0rrE"],"dependent_operators":["g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP"],"result":"⋋%⋟-24","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=5679","layer":2},{"info":"number node, value=1166","layer":2},{"info":"compute binary expreesion, left_input=5679, right_input=1166, 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=2281","layer":2},{"info":"number node, value=1127","layer":2},{"info":"compute binary expreesion, left_input=2281, right_input=1127, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1234, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟7710⨚⇆⋋%⋟1535⋅⇍(⋋%⋟3114∠⫱⋋%⋟1482)=⋋%⋟-24","reverse_text":"⋋%⋟-24=⋋%⋟7710⨚⇆⋋%⋟1535⋅⇍(⋋%⋟3114∠⫱⋋%⋟1482)","cot":[{"info":"⋋%⋟7710⨚⇆⋋%⋟1535=NaN","layer":1},{"info":"⋋%⋟3114∠⫱⋋%⋟1482=⋋%⋟1621","layer":1},{"info":"NaN⋅⇍⋋%⋟1621=⋋%⋟-24","layer":0}]}
+{"id":206,"expression_no_base_symbol":"⫛⫱⨽($1087$⫦⪉$1575$)","expression":"⫛⫱⨽(⋋%⋟1437⫦⪉⋋%⋟2140)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1445,"operation_count":2,"complexity_ratio":722.5,"tree":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":1087,"base":9},"right_expr":{"type":"numeric_atoms","value":1575,"base":9}}},"used_operators":["DlLNRPXxWL","wscyQdcy20"],"dependent_operators":["rGHVDoGpnC","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf"],"result":"⋋%⋟0","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1087","layer":2},{"info":"number node, value=1575","layer":2},{"info":"compute binary expreesion, left_input=1087, right_input=1575, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=2726","layer":1},{"info":"compute unary expreesion, input=2726, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":0}],"base":9,"result_base":9,"text":"⫛⫱⨽(⋋%⋟1437⫦⪉⋋%⋟2140)=⋋%⋟0","reverse_text":"⋋%⋟0=⫛⫱⨽(⋋%⋟1437⫦⪉⋋%⋟2140)","cot":[{"info":"⋋%⋟1437⫦⪉⋋%⋟2140=⋋%⋟3658","layer":1},{"info":"⫛⫱⨽⋋%⋟3658=⋋%⋟0","layer":0}]}
+{"id":207,"expression_no_base_symbol":"⪝⪂⫅$8205$⊕∕$3150$","expression":"⪝⪂⫅⋋%⋟12226⊕∕⋋%⋟4280","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":151,"operation_count":2,"complexity_ratio":75.5,"tree":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":8205,"base":9},"right_expr":{"type":"numeric_atoms","value":3150,"base":9}}},"used_operators":["XTarYq4gQB","9cloC0Ngie"],"dependent_operators":["9HNa5Wba9A","8w2t5hMYqp","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf"],"result":"⋋%⋟-2237450","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=8205","layer":2},{"info":"number node, value=3150","layer":2},{"info":"compute binary expreesion, left_input=8205, right_input=3150, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=8205","layer":1},{"info":"compute unary expreesion, input=8205, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-1206135","layer":0}],"base":9,"result_base":9,"text":"⪝⪂⫅⋋%⋟12226⊕∕⋋%⋟4280=⋋%⋟-2237450","reverse_text":"⋋%⋟-2237450=⪝⪂⫅⋋%⋟12226⊕∕⋋%⋟4280","cot":[{"info":"⋋%⋟12226⊕∕⋋%⋟4280=⋋%⋟12226","layer":1},{"info":"⪝⪂⫅⋋%⋟12226=⋋%⋟-2237450","layer":0}]}
+{"id":208,"expression_no_base_symbol":"$7043$⪄$4993$⊾⪯⋞$2551$↳∿⪆$2729$","expression":"⋋%⋟10585⪄⋋%⋟6757⊾⪯⋞⋋%⋟3444↳∿⪆⋋%⋟3662","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2567,"operation_count":3,"complexity_ratio":855.6666666666666,"tree":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":7043,"base":9},"right_expr":{"type":"numeric_atoms","value":4993,"base":9}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":2551,"base":9},"right_expr":{"type":"numeric_atoms","value":2729,"base":9}}},"used_operators":["HK0tfVPux8","SUmda5xLS4","Cw4SuJJGHO"],"dependent_operators":["s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=7043","layer":2},{"info":"number node, value=4993","layer":2},{"info":"compute binary expreesion, left_input=7043, right_input=4993, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-1058425","layer":1},{"info":"number node, value=2551","layer":2},{"info":"number node, value=2729","layer":2},{"info":"compute binary expreesion, left_input=2551, right_input=2729, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-1058425, 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":0}],"base":9,"result_base":9,"text":"⋋%⋟10585⪄⋋%⋟6757⊾⪯⋞⋋%⋟3444↳∿⪆⋋%⋟3662=NaN","reverse_text":"NaN=⋋%⋟10585⪄⋋%⋟6757⊾⪯⋞⋋%⋟3444↳∿⪆⋋%⋟3662","cot":[{"info":"⋋%⋟10585⪄⋋%⋟6757=⋋%⋟-1882787","layer":1},{"info":"⋋%⋟3444↳∿⪆⋋%⋟3662=NaN","layer":1},{"info":"⋋%⋟-1882787⊾⪯⋞NaN=NaN","layer":0}]}
+{"id":209,"expression_no_base_symbol":"⪸$1255$↓$2815$","expression":"⪸⋋%⋟1644↓⋋%⋟3767","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":39735,"operation_count":2,"complexity_ratio":19867.5,"tree":{"type":"unary","operator":"⪸","unary_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":1255,"base":9},"right_expr":{"type":"numeric_atoms","value":2815,"base":9}}},"used_operators":["86A5ENbKR9","Af076pWI7l"],"dependent_operators":["Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi"],"result":"⋋%⋟-680","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1255","layer":2},{"info":"number node, value=2815","layer":2},{"info":"compute binary expreesion, left_input=1255, right_input=2815, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":1},{"info":"compute unary expreesion, input=-134, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-558","layer":0}],"base":9,"result_base":9,"text":"⪸⋋%⋟1644↓⋋%⋟3767=⋋%⋟-680","reverse_text":"⋋%⋟-680=⪸⋋%⋟1644↓⋋%⋟3767","cot":[{"info":"⋋%⋟1644↓⋋%⋟3767=⋋%⋟-158","layer":1},{"info":"⪸⋋%⋟-158=⋋%⋟-680","layer":0}]}
+{"id":210,"expression_no_base_symbol":"($6212$⩺⪪$2194$)⨽∌(∷≠$3317$)","expression":"(⋋%⋟8462⩺⪪⋋%⋟3007)⨽∌(∷≠⋋%⋟4485)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":173,"operation_count":3,"complexity_ratio":57.666666666666664,"tree":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":6212,"base":9},"right_expr":{"type":"numeric_atoms","value":2194,"base":9}},"right_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"numeric_atoms","value":3317,"base":9}}},"used_operators":["9samAPKr6k","uvdQJvN4PV","QiR2Oyf5Xj"],"dependent_operators":["YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","7j4O788W3g"],"result":"⋋%⋟0","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=6212","layer":2},{"info":"number node, value=2194","layer":2},{"info":"compute binary expreesion, left_input=6212, right_input=2194, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-65186","layer":1},{"info":"number node, value=3317","layer":2},{"info":"compute unary expreesion, input=3317, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=3317","layer":1},{"info":"compute binary expreesion, left_input=-65186, right_input=3317, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟8462⩺⪪⋋%⋟3007)⨽∌(∷≠⋋%⋟4485)=⋋%⋟0","reverse_text":"⋋%⋟0=(⋋%⋟8462⩺⪪⋋%⋟3007)⨽∌(∷≠⋋%⋟4485)","cot":[{"info":"⋋%⋟8462⩺⪪⋋%⋟3007=⋋%⋟-108368","layer":1},{"info":"∷≠⋋%⋟4485=⋋%⋟4485","layer":1},{"info":"⋋%⋟-108368⨽∌⋋%⋟4485=⋋%⋟0","layer":0}]}
+{"id":211,"expression_no_base_symbol":"$1873$⫒⫫$2759$/$1008$⪔$1628$","expression":"⋋%⋟2511⫒⫫⋋%⋟3705/⋋%⋟1340⪔⋋%⋟2208","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1729,"operation_count":3,"complexity_ratio":576.3333333333334,"tree":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":1873,"base":9},"right_expr":{"type":"numeric_atoms","value":2759,"base":9}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":1008,"base":9},"right_expr":{"type":"numeric_atoms","value":1628,"base":9}}},"used_operators":["XhwjNDsVaA","6Ko8hGgeMq","GjBEYRfMaF"],"dependent_operators":["rysDP5nf3Z","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1873","layer":2},{"info":"number node, value=2759","layer":2},{"info":"compute binary expreesion, left_input=1873, right_input=2759, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":1},{"info":"number node, value=1008","layer":2},{"info":"number node, value=1628","layer":2},{"info":"compute binary expreesion, left_input=1008, right_input=1628, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=450, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟2511⫒⫫⋋%⋟3705/⋋%⋟1340⪔⋋%⋟2208=NaN","reverse_text":"NaN=⋋%⋟2511⫒⫫⋋%⋟3705/⋋%⋟1340⪔⋋%⋟2208","cot":[{"info":"⋋%⋟2511⫒⫫⋋%⋟3705=NaN","layer":1},{"info":"⋋%⋟1340⪔⋋%⋟2208=⋋%⋟550","layer":1},{"info":"NaN/⋋%⋟550=NaN","layer":0}]}
+{"id":212,"expression_no_base_symbol":"$6611$↓$4664$⨔≚≋$3788$≄⊠$4193$","expression":"⋋%⋟10055↓⋋%⋟6352⨔≚≋⋋%⋟5168≄⊠⋋%⋟5668","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":65691,"operation_count":3,"complexity_ratio":21897.0,"tree":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":6611,"base":9},"right_expr":{"type":"numeric_atoms","value":4664,"base":9}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":3788,"base":9},"right_expr":{"type":"numeric_atoms","value":4193,"base":9}}},"used_operators":["Z57zeUYC9z","Af076pWI7l","vXNesLlMH1"],"dependent_operators":["zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI"],"result":"⋋%⋟-1065255","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=6611","layer":2},{"info":"number node, value=4664","layer":2},{"info":"compute binary expreesion, left_input=6611, right_input=4664, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":1},{"info":"number node, value=3788","layer":2},{"info":"number node, value=4193","layer":2},{"info":"compute binary expreesion, left_input=3788, right_input=4193, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=71756","layer":1},{"info":"compute binary expreesion, left_input=-134, right_input=71756, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=-574664","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟10055↓⋋%⋟6352⨔≚≋⋋%⋟5168≄⊠⋋%⋟5668=⋋%⋟-1065255","reverse_text":"⋋%⋟-1065255=⋋%⋟10055↓⋋%⋟6352⨔≚≋⋋%⋟5168≄⊠⋋%⋟5668","cot":[{"info":"⋋%⋟10055↓⋋%⋟6352=⋋%⋟-158","layer":1},{"info":"⋋%⋟5168≄⊠⋋%⋟5668=⋋%⋟118378","layer":1},{"info":"⋋%⋟-158⨔≚≋⋋%⋟118378=⋋%⋟-1065255","layer":0}]}
+{"id":213,"expression_no_base_symbol":"($1829$⪍↜⋙$8438$)⋹⋡⊁($1972$∘$5816$)","expression":"(⋋%⋟2452⪍↜⋙⋋%⋟12515)⋹⋡⊁(⋋%⋟2631∘⋋%⋟7872)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":62555,"operation_count":3,"complexity_ratio":20851.666666666668,"tree":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":1829,"base":9},"right_expr":{"type":"numeric_atoms","value":8438,"base":9}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":1972,"base":9},"right_expr":{"type":"numeric_atoms","value":5816,"base":9}}},"used_operators":["As8RqfVLgs","L05ObWFQCd","Z5m6OM72h2"],"dependent_operators":["ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","eH2TOUuTDT","rysDP5nf3Z"],"result":"⋋%⋟6385","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1829","layer":2},{"info":"number node, value=8438","layer":2},{"info":"compute binary expreesion, left_input=1829, right_input=8438, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-26804","layer":1},{"info":"number node, value=1972","layer":2},{"info":"number node, value=5816","layer":2},{"info":"compute binary expreesion, left_input=1972, right_input=5816, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=3944","layer":1},{"info":"compute binary expreesion, left_input=-26804, right_input=3944, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=4694","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟2452⪍↜⋙⋋%⋟12515)⋹⋡⊁(⋋%⋟2631∘⋋%⋟7872)=⋋%⋟6385","reverse_text":"⋋%⋟6385=(⋋%⋟2452⪍↜⋙⋋%⋟12515)⋹⋡⊁(⋋%⋟2631∘⋋%⋟7872)","cot":[{"info":"⋋%⋟2452⪍↜⋙⋋%⋟12515=⋋%⋟-40682","layer":1},{"info":"⋋%⋟2631∘⋋%⋟7872=⋋%⋟5362","layer":1},{"info":"⋋%⋟-40682⋹⋡⊁⋋%⋟5362=⋋%⋟6385","layer":0}]}
+{"id":214,"expression_no_base_symbol":"∥⊫(⩩$2535$)","expression":"∥⊫(⩩⋋%⋟3426)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3474,"operation_count":2,"complexity_ratio":1737.0,"tree":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"numeric_atoms","value":2535,"base":9}}},"used_operators":["P8v4zCKN1o","kMhfGuqI2H"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=2535","layer":2},{"info":"compute unary expreesion, input=2535, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=nan","layer":0}],"base":9,"result_base":9,"text":"∥⊫(⩩⋋%⋟3426)=NaN","reverse_text":"NaN=∥⊫(⩩⋋%⋟3426)","cot":[{"info":"⩩⋋%⋟3426=NaN","layer":1},{"info":"∥⊫NaN=NaN","layer":0}]}
+{"id":215,"expression_no_base_symbol":"($1148$⊋≦⊧$1383$)∌($1456$⪃↞⩐)","expression":"(⋋%⋟1515⊋≦⊧⋋%⋟1806)∌(⋋%⋟1887⪃↞⩐)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":740,"operation_count":3,"complexity_ratio":246.66666666666666,"tree":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":1148,"base":9},"right_expr":{"type":"numeric_atoms","value":1383,"base":9}},"right_expr":{"type":"unary","operator":"⪃↞⩐","unary_expr":{"type":"numeric_atoms","value":1456,"base":9}}},"used_operators":["8cLx32lpNA","oRDoc9rAEX","grXIztHqDa"],"dependent_operators":["N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","IwW236VD4Y","bF6eod5Gvf","l07mrZUIn9"],"result":"⋋%⋟-3125","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1148","layer":2},{"info":"number node, value=1383","layer":2},{"info":"compute binary expreesion, left_input=1148, right_input=1383, 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=-2291","layer":1},{"info":"number node, value=1456","layer":2},{"info":"compute unary expreesion, input=1456, op_id = grXIztHqDa, unary_op_definition = 'a⪃↞⩐ = { ((a→⨶⪴a)≠≀(a↪⪝)) }', output=9042","layer":1},{"info":"compute binary expreesion, left_input=-2291, right_input=9042, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-2291","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟1515⊋≦⊧⋋%⋟1806)∌(⋋%⋟1887⪃↞⩐)=⋋%⋟-3125","reverse_text":"⋋%⋟-3125=(⋋%⋟1515⊋≦⊧⋋%⋟1806)∌(⋋%⋟1887⪃↞⩐)","cot":[{"info":"⋋%⋟1515⊋≦⊧⋋%⋟1806=⋋%⋟-3125","layer":1},{"info":"⋋%⋟1887⪃↞⩐=⋋%⋟13356","layer":1},{"info":"⋋%⋟-3125∌⋋%⋟13356=⋋%⋟-3125","layer":0}]}
+{"id":216,"expression_no_base_symbol":"$3085$⫁⪎$3159$≥⨤⩑($5600$⫏⊷)","expression":"⋋%⋟4207⫁⪎⋋%⋟4300≥⨤⩑(⋋%⋟7612⫏⊷)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":28511,"operation_count":3,"complexity_ratio":9503.666666666666,"tree":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":3085,"base":9},"right_expr":{"type":"numeric_atoms","value":3159,"base":9}},"right_expr":{"type":"unary","operator":"⫏⊷","unary_expr":{"type":"numeric_atoms","value":5600,"base":9}}},"used_operators":["gJLn6v0xnP","xRrnTEsQ6j","dcShxvzhyw"],"dependent_operators":["mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","FU0Cs4j7VP","7YooWSwCyH","HK0tfVPux8"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3085","layer":2},{"info":"number node, value=3159","layer":2},{"info":"compute binary expreesion, left_input=3085, right_input=3159, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-74","layer":1},{"info":"number node, value=5600","layer":2},{"info":"compute unary expreesion, input=5600, op_id = dcShxvzhyw, unary_op_definition = 'a⫏⊷ = { ((224∪⫐a)⊾⪯⋞(a↛⩡⫤)) }', output=-820","layer":1},{"info":"compute binary expreesion, left_input=-74, right_input=-820, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=nan","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟4207⫁⪎⋋%⋟4300≥⨤⩑(⋋%⋟7612⫏⊷)=NaN","reverse_text":"NaN=⋋%⋟4207⫁⪎⋋%⋟4300≥⨤⩑(⋋%⋟7612⫏⊷)","cot":[{"info":"⋋%⋟4207⫁⪎⋋%⋟4300=⋋%⋟-82","layer":1},{"info":"⋋%⋟7612⫏⊷=⋋%⋟-1111","layer":1},{"info":"⋋%⋟-82≥⨤⩑⋋%⋟-1111=NaN","layer":0}]}
+{"id":217,"expression_no_base_symbol":"$1210$∀⇚≩$1575$⫚↹⊑(∡$5906$)","expression":"⋋%⋟1584∀⇚≩⋋%⋟2140⫚↹⊑(∡⋋%⋟8082)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8495,"operation_count":3,"complexity_ratio":2831.6666666666665,"tree":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1210,"base":9},"right_expr":{"type":"numeric_atoms","value":1575,"base":9}},"right_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"numeric_atoms","value":5906,"base":9}}},"used_operators":["dfKe02y8D2","LRNGc0VcxI","pRsWfj4Fpp"],"dependent_operators":["2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","X99M06cbEe","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0"],"result":"⋋%⋟-546","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1210","layer":2},{"info":"number node, value=1575","layer":2},{"info":"compute binary expreesion, left_input=1210, right_input=1575, 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=5906","layer":2},{"info":"compute unary expreesion, input=5906, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=-5906","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-5906, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟1584∀⇚≩⋋%⋟2140⫚↹⊑(∡⋋%⋟8082)=⋋%⋟-546","reverse_text":"⋋%⋟-546=⋋%⋟1584∀⇚≩⋋%⋟2140⫚↹⊑(∡⋋%⋟8082)","cot":[{"info":"⋋%⋟1584∀⇚≩⋋%⋟2140=NaN","layer":1},{"info":"∡⋋%⋟8082=⋋%⋟-8082","layer":1},{"info":"NaN⫚↹⊑⋋%⋟-8082=⋋%⋟-546","layer":0}]}
+{"id":218,"expression_no_base_symbol":"($2805$≀⩗∶$3420$)∀⇚≩(⋣$6382$)","expression":"(⋋%⋟3756≀⩗∶⋋%⋟4620)∀⇚≩(⋣⋋%⋟8671)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":205,"operation_count":3,"complexity_ratio":68.33333333333333,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":2805,"base":9},"right_expr":{"type":"numeric_atoms","value":3420,"base":9}},"right_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"numeric_atoms","value":6382,"base":9}}},"used_operators":["LRNGc0VcxI","8INZBEW696","zQWRhDnn8F"],"dependent_operators":["X99M06cbEe","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY"],"result":"⋋%⋟31210608","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2805","layer":2},{"info":"number node, value=3420","layer":2},{"info":"compute binary expreesion, left_input=2805, right_input=3420, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=-3","layer":1},{"info":"number node, value=6382","layer":2},{"info":"compute unary expreesion, input=6382, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-1876213","layer":1},{"info":"compute binary expreesion, left_input=-3, right_input=-1876213, 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=15005501","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟3756≀⩗∶⋋%⋟4620)∀⇚≩(⋣⋋%⋟8671)=⋋%⋟31210608","reverse_text":"⋋%⋟31210608=(⋋%⋟3756≀⩗∶⋋%⋟4620)∀⇚≩(⋣⋋%⋟8671)","cot":[{"info":"⋋%⋟3756≀⩗∶⋋%⋟4620=⋋%⋟-3","layer":1},{"info":"⋣⋋%⋟8671=⋋%⋟-3468611","layer":1},{"info":"⋋%⋟-3∀⇚≩⋋%⋟-3468611=⋋%⋟31210608","layer":0}]}
+{"id":219,"expression_no_base_symbol":"($2689$⨳⩥⨓$2566$)⇍⊗($1320$⫒⫫$7342$)","expression":"(⋋%⋟3617⨳⩥⨓⋋%⋟3461)⇍⊗(⋋%⋟1726⫒⫫⋋%⋟11057)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":47,"operation_count":3,"complexity_ratio":15.666666666666666,"tree":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2689,"base":9},"right_expr":{"type":"numeric_atoms","value":2566,"base":9}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":1320,"base":9},"right_expr":{"type":"numeric_atoms","value":7342,"base":9}}},"used_operators":["5uvYHDjeKN","nCS4ZIUYfx","6Ko8hGgeMq"],"dependent_operators":["Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","W4YGzv6Whe","rysDP5nf3Z","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=2689","layer":2},{"info":"number node, value=2566","layer":2},{"info":"compute binary expreesion, left_input=2689, right_input=2566, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-123","layer":1},{"info":"number node, value=1320","layer":2},{"info":"number node, value=7342","layer":2},{"info":"compute binary expreesion, left_input=1320, right_input=7342, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-123, right_input=nan, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟3617⨳⩥⨓⋋%⋟3461)⇍⊗(⋋%⋟1726⫒⫫⋋%⋟11057)=NaN","reverse_text":"NaN=(⋋%⋟3617⨳⩥⨓⋋%⋟3461)⇍⊗(⋋%⋟1726⫒⫫⋋%⋟11057)","cot":[{"info":"⋋%⋟3617⨳⩥⨓⋋%⋟3461=⋋%⋟-146","layer":1},{"info":"⋋%⋟1726⫒⫫⋋%⋟11057=NaN","layer":1},{"info":"⋋%⋟-146⇍⊗NaN=NaN","layer":0}]}
+{"id":220,"expression_no_base_symbol":"($1238$⋓$6716$)∀⇚≩($5165$≒∊$3661$)","expression":"(⋋%⋟1625⋓⋋%⋟10182)∀⇚≩(⋋%⋟7068≒∊⋋%⋟5017)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":21,"operation_count":3,"complexity_ratio":7.0,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1238,"base":9},"right_expr":{"type":"numeric_atoms","value":6716,"base":9}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":5165,"base":9},"right_expr":{"type":"numeric_atoms","value":3661,"base":9}}},"used_operators":["LRNGc0VcxI","T2fj7uvVaJ","5KTvxBwnZo"],"dependent_operators":["X99M06cbEe","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl"],"result":"⋋%⋟-6371","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1238","layer":2},{"info":"number node, value=6716","layer":2},{"info":"compute binary expreesion, left_input=1238, right_input=6716, 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=5165","layer":2},{"info":"number node, value=3661","layer":2},{"info":"compute binary expreesion, left_input=5165, right_input=3661, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-4681","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-4681, 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=-4681","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟1625⋓⋋%⋟10182)∀⇚≩(⋋%⋟7068≒∊⋋%⋟5017)=⋋%⋟-6371","reverse_text":"⋋%⋟-6371=(⋋%⋟1625⋓⋋%⋟10182)∀⇚≩(⋋%⋟7068≒∊⋋%⋟5017)","cot":[{"info":"⋋%⋟1625⋓⋋%⋟10182=⋋%⋟0","layer":1},{"info":"⋋%⋟7068≒∊⋋%⋟5017=⋋%⋟-6371","layer":1},{"info":"⋋%⋟0∀⇚≩⋋%⋟-6371=⋋%⋟-6371","layer":0}]}
+{"id":221,"expression_no_base_symbol":"⨵≀≌(+⊝⨔$2052$)","expression":"⨵≀≌(+⊝⨔⋋%⋟2730)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":43,"operation_count":2,"complexity_ratio":21.5,"tree":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":2052,"base":9}}},"used_operators":["srAu1WTS94","DhbWaqg5eL"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"⋋%⋟-6233","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2052","layer":2},{"info":"compute unary expreesion, input=2052, 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":1},{"info":"compute unary expreesion, input=1522, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-4566","layer":0}],"base":9,"result_base":9,"text":"⨵≀≌(+⊝⨔⋋%⋟2730)=⋋%⋟-6233","reverse_text":"⋋%⋟-6233=⨵≀≌(+⊝⨔⋋%⋟2730)","cot":[{"info":"+⊝⨔⋋%⋟2730=⋋%⋟2071","layer":1},{"info":"⨵≀≌⋋%⋟2071=⋋%⋟-6233","layer":0}]}
+{"id":222,"expression_no_base_symbol":"$2195$≦↸$5898$∲⫓$2053$⪮%⊝$1804$","expression":"⋋%⋟3008≦↸⋋%⋟8073∲⫓⋋%⋟2731⪮%⊝⋋%⋟2424","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":32,"operation_count":3,"complexity_ratio":10.666666666666666,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":2195,"base":9},"right_expr":{"type":"numeric_atoms","value":5898,"base":9}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2053,"base":9},"right_expr":{"type":"numeric_atoms","value":1804,"base":9}}},"used_operators":["i8ToyICDmI","RygbFNSyEJ","IWmyXbctLI"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"⋋%⋟0","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2195","layer":2},{"info":"number node, value=5898","layer":2},{"info":"compute binary expreesion, left_input=2195, right_input=5898, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-15505","layer":1},{"info":"number node, value=2053","layer":2},{"info":"number node, value=1804","layer":2},{"info":"compute binary expreesion, left_input=2053, right_input=1804, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4422","layer":1},{"info":"compute binary expreesion, left_input=-15505, right_input=4422, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟3008≦↸⋋%⋟8073∲⫓⋋%⋟2731⪮%⊝⋋%⋟2424=⋋%⋟0","reverse_text":"⋋%⋟0=⋋%⋟3008≦↸⋋%⋟8073∲⫓⋋%⋟2731⪮%⊝⋋%⋟2424","cot":[{"info":"⋋%⋟3008≦↸⋋%⋟8073=⋋%⋟-23237","layer":1},{"info":"⋋%⋟2731⪮%⊝⋋%⋟2424=⋋%⋟6053","layer":1},{"info":"⋋%⋟-23237∲⫓⋋%⋟6053=⋋%⋟0","layer":0}]}
+{"id":223,"expression_no_base_symbol":"($1662$⫦⪉$1323$)⇀∌","expression":"(⋋%⋟2246⫦⪉⋋%⋟1730)⇀∌","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":103,"operation_count":2,"complexity_ratio":51.5,"tree":{"type":"unary","operator":"⇀∌","unary_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":1662,"base":9},"right_expr":{"type":"numeric_atoms","value":1323,"base":9}}},"used_operators":["2k53nXOpI5","wscyQdcy20"],"dependent_operators":["Q3PJZHRvZv","ddLRYrp01A","AcOhelriW5","7t3wd0Fuz7","3tVxb0NHM4","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf"],"result":"⋋%⋟135","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1662","layer":2},{"info":"number node, value=1323","layer":2},{"info":"compute binary expreesion, left_input=1662, right_input=1323, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=1576","layer":1},{"info":"compute unary expreesion, input=1576, op_id = 2k53nXOpI5, unary_op_definition = 'a⇀∌ = { ((a⪎↠(⨣⨃⇪a))⋥⋵⩄(a∊∟⩊(⊥a))) }', output=113","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟2246⫦⪉⋋%⋟1730)⇀∌=⋋%⋟135","reverse_text":"⋋%⋟135=(⋋%⋟2246⫦⪉⋋%⋟1730)⇀∌","cot":[{"info":"⋋%⋟2246⫦⪉⋋%⋟1730=⋋%⋟2141","layer":1},{"info":"⋋%⋟2141⇀∌=⋋%⋟135","layer":0}]}
+{"id":224,"expression_no_base_symbol":"($2933$∛$5888$)⇤($7608$↙$2961$)","expression":"(⋋%⋟4018∛⋋%⋟8062)⇤(⋋%⋟11383↙⋋%⋟4050)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3078,"operation_count":3,"complexity_ratio":1026.0,"tree":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":2933,"base":9},"right_expr":{"type":"numeric_atoms","value":5888,"base":9}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":7608,"base":9},"right_expr":{"type":"numeric_atoms","value":2961,"base":9}}},"used_operators":["YSKBFp38Pu","w2537kitQq","yyfyN0ffXY"],"dependent_operators":["rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","tmPS8pqC7x","DpFCA1CohY"],"result":"⋋%⋟76376","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2933","layer":2},{"info":"number node, value=5888","layer":2},{"info":"compute binary expreesion, left_input=2933, right_input=5888, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":1},{"info":"number node, value=7608","layer":2},{"info":"number node, value=2961","layer":2},{"info":"compute binary expreesion, left_input=7608, right_input=2961, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-8883","layer":1},{"info":"compute binary expreesion, left_input=-670, right_input=-8883, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=50613","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟4018∛⋋%⋟8062)⇤(⋋%⋟11383↙⋋%⋟4050)=⋋%⋟76376","reverse_text":"⋋%⋟76376=(⋋%⋟4018∛⋋%⋟8062)⇤(⋋%⋟11383↙⋋%⋟4050)","cot":[{"info":"⋋%⋟4018∛⋋%⋟8062=⋋%⋟-824","layer":1},{"info":"⋋%⋟11383↙⋋%⋟4050=⋋%⋟-13160","layer":1},{"info":"⋋%⋟-824⇤⋋%⋟-13160=⋋%⋟76376","layer":0}]}
+{"id":225,"expression_no_base_symbol":"($1084$⩨$1143$)⊮⊟↴($3394$⪭$4336$)","expression":"(⋋%⋟1434⩨⋋%⋟1510)⊮⊟↴(⋋%⋟4581⪭⋋%⋟5847)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":54,"operation_count":3,"complexity_ratio":18.0,"tree":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1084,"base":9},"right_expr":{"type":"numeric_atoms","value":1143,"base":9}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":3394,"base":9},"right_expr":{"type":"numeric_atoms","value":4336,"base":9}}},"used_operators":["QDVgd2eftb","2DlMacCsIx","j9kHMeSvPp"],"dependent_operators":["XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","COABgblf1C","xUOZtlo3hN"],"result":"⋋%⋟0","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1084","layer":2},{"info":"number node, value=1143","layer":2},{"info":"compute binary expreesion, left_input=1084, right_input=1143, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":1},{"info":"number node, value=3394","layer":2},{"info":"number node, value=4336","layer":2},{"info":"compute binary expreesion, left_input=3394, right_input=4336, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":1},{"info":"compute binary expreesion, left_input=-3, right_input=5, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟1434⩨⋋%⋟1510)⊮⊟↴(⋋%⋟4581⪭⋋%⋟5847)=⋋%⋟0","reverse_text":"⋋%⋟0=(⋋%⋟1434⩨⋋%⋟1510)⊮⊟↴(⋋%⋟4581⪭⋋%⋟5847)","cot":[{"info":"⋋%⋟1434⩨⋋%⋟1510=⋋%⋟-3","layer":1},{"info":"⋋%⋟4581⪭⋋%⋟5847=⋋%⋟5","layer":1},{"info":"⋋%⋟-3⊮⊟↴⋋%⋟5=⋋%⋟0","layer":0}]}
+{"id":226,"expression_no_base_symbol":"(⋂$3075$)⇂≾⫗($6094$∛$2083$)","expression":"(⋂⋋%⋟4186)⇂≾⫗(⋋%⋟8321∛⋋%⋟2764)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":183,"operation_count":3,"complexity_ratio":61.0,"tree":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"unary","operator":"⋂","unary_expr":{"type":"numeric_atoms","value":3075,"base":9}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":6094,"base":9},"right_expr":{"type":"numeric_atoms","value":2083,"base":9}}},"used_operators":["aBQ6xLxuTc","BUOGQAYlQx","w2537kitQq"],"dependent_operators":["g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc"],"result":"⋋%⋟-824","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3075","layer":2},{"info":"compute unary expreesion, input=3075, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=-42454","layer":1},{"info":"number node, value=6094","layer":2},{"info":"number node, value=2083","layer":2},{"info":"compute binary expreesion, left_input=6094, right_input=2083, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":1},{"info":"compute binary expreesion, left_input=-42454, right_input=-670, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-670","layer":0}],"base":9,"result_base":9,"text":"(⋂⋋%⋟4186)⇂≾⫗(⋋%⋟8321∛⋋%⋟2764)=⋋%⋟-824","reverse_text":"⋋%⋟-824=(⋂⋋%⋟4186)⇂≾⫗(⋋%⋟8321∛⋋%⋟2764)","cot":[{"info":"⋂⋋%⋟4186=⋋%⋟-64211","layer":1},{"info":"⋋%⋟8321∛⋋%⋟2764=⋋%⋟-824","layer":1},{"info":"⋋%⋟-64211⇂≾⫗⋋%⋟-824=⋋%⋟-824","layer":0}]}
+{"id":227,"expression_no_base_symbol":"(⇁⨣⪵$1181$)⪥($5691$∽$1288$)","expression":"(⇁⨣⪵⋋%⋟1552)⪥(⋋%⋟7723∽⋋%⋟1681)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":27,"operation_count":3,"complexity_ratio":9.0,"tree":{"type":"binary","operator":"⪥","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1181,"base":9}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":5691,"base":9},"right_expr":{"type":"numeric_atoms","value":1288,"base":9}}},"used_operators":["QbnwKVWMIQ","inkyxCbjAn","y4ImoPnbV5"],"dependent_operators":["WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","B5M0gjZbta","NTOWxs364D","QMFrweE19q"],"result":"⋋%⋟-138","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1181","layer":2},{"info":"compute unary expreesion, input=1181, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"number node, value=5691","layer":2},{"info":"number node, value=1288","layer":2},{"info":"compute binary expreesion, left_input=5691, right_input=1288, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-32141","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-32141, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=-116","layer":0}],"base":9,"result_base":9,"text":"(⇁⨣⪵⋋%⋟1552)⪥(⋋%⋟7723∽⋋%⋟1681)=⋋%⋟-138","reverse_text":"⋋%⋟-138=(⇁⨣⪵⋋%⋟1552)⪥(⋋%⋟7723∽⋋%⋟1681)","cot":[{"info":"⇁⨣⪵⋋%⋟1552=NaN","layer":1},{"info":"⋋%⋟7723∽⋋%⋟1681=⋋%⋟-48072","layer":1},{"info":"NaN⪥⋋%⋟-48072=⋋%⋟-138","layer":0}]}
+{"id":228,"expression_no_base_symbol":"($3589$⫌⩉⩟$4166$)≚⊃≕($5171$≃$1254$)","expression":"(⋋%⋟4827⫌⩉⩟⋋%⋟5638)≚⊃≕(⋋%⋟7075≃⋋%⋟1643)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":22171,"operation_count":3,"complexity_ratio":7390.333333333333,"tree":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":3589,"base":9},"right_expr":{"type":"numeric_atoms","value":4166,"base":9}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":5171,"base":9},"right_expr":{"type":"numeric_atoms","value":1254,"base":9}}},"used_operators":["Bmrmz2XGnR","XIIwhv8d0m","YbVcJGFEVW"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C"],"result":"⋋%⋟-63320","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3589","layer":2},{"info":"number node, value=4166","layer":2},{"info":"compute binary expreesion, left_input=3589, right_input=4166, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":1},{"info":"number node, value=5171","layer":2},{"info":"number node, value=1254","layer":2},{"info":"compute binary expreesion, left_input=5171, right_input=1254, 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=-20724","layer":1},{"info":"compute binary expreesion, left_input=-50, right_input=-20724, 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=-41814","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟4827⫌⩉⩟⋋%⋟5638)≚⊃≕(⋋%⋟7075≃⋋%⋟1643)=⋋%⋟-63320","reverse_text":"⋋%⋟-63320=(⋋%⋟4827⫌⩉⩟⋋%⋟5638)≚⊃≕(⋋%⋟7075≃⋋%⋟1643)","cot":[{"info":"⋋%⋟4827⫌⩉⩟⋋%⋟5638=⋋%⋟-55","layer":1},{"info":"⋋%⋟7075≃⋋%⋟1643=⋋%⋟-31376","layer":1},{"info":"⋋%⋟-55≚⊃≕⋋%⋟-31376=⋋%⋟-63320","layer":0}]}
+{"id":229,"expression_no_base_symbol":"($2797$⫔⩽⩺$5849$)⨎($1014$∙⊟$1285$)","expression":"(⋋%⋟3747⫔⩽⩺⋋%⋟8018)⨎(⋋%⋟1346∙⊟⋋%⋟1677)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1116,"operation_count":3,"complexity_ratio":372.0,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":2797,"base":9},"right_expr":{"type":"numeric_atoms","value":5849,"base":9}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":1014,"base":9},"right_expr":{"type":"numeric_atoms","value":1285,"base":9}}},"used_operators":["rJVOvQCfKK","i9eR4S00cU","SxTAKzQCrw"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","Tw270M8GLb","fu6greOZ01","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF"],"result":"⋋%⋟34526","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2797","layer":2},{"info":"number node, value=5849","layer":2},{"info":"compute binary expreesion, left_input=2797, right_input=5849, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":1},{"info":"number node, value=1014","layer":2},{"info":"number node, value=1285","layer":2},{"info":"compute binary expreesion, left_input=1014, right_input=1285, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=23028","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=23028, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=23028","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟3747⫔⩽⩺⋋%⋟8018)⨎(⋋%⋟1346∙⊟⋋%⋟1677)=⋋%⋟34526","reverse_text":"⋋%⋟34526=(⋋%⋟3747⫔⩽⩺⋋%⋟8018)⨎(⋋%⋟1346∙⊟⋋%⋟1677)","cot":[{"info":"⋋%⋟3747⫔⩽⩺⋋%⋟8018=NaN","layer":1},{"info":"⋋%⋟1346∙⊟⋋%⋟1677=⋋%⋟34526","layer":1},{"info":"NaN⨎⋋%⋟34526=⋋%⋟34526","layer":0}]}
+{"id":230,"expression_no_base_symbol":"($1484$⫲⨊)⪡($4292$⊭↱$1012$)","expression":"(⋋%⋟2028⫲⨊)⪡(⋋%⋟5788⊭↱⋋%⋟1344)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":45,"operation_count":3,"complexity_ratio":15.0,"tree":{"type":"binary","operator":"⪡","left_expr":{"type":"unary","operator":"⫲⨊","unary_expr":{"type":"numeric_atoms","value":1484,"base":9}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":4292,"base":9},"right_expr":{"type":"numeric_atoms","value":1012,"base":9}}},"used_operators":["oraRL2iQuh","CArV6hThFE","COABgblf1C"],"dependent_operators":["2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","WmT3o8z6ya","uFcxV4UQCh","2DDjHMKMc0","B3sABdIn96","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd"],"result":"⋋%⋟-8756","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1484","layer":2},{"info":"compute unary expreesion, input=1484, op_id = CArV6hThFE, unary_op_definition = 'a⫲⨊ = { ((332≫≃)⪹) , if a==35 ; ((a⋘⨑⨽)⋝⋈⪟(a⪛290)) , else }', output=8203","layer":1},{"info":"number node, value=4292","layer":2},{"info":"number node, value=1012","layer":2},{"info":"compute binary expreesion, left_input=4292, right_input=1012, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-6555","layer":1},{"info":"compute binary expreesion, left_input=8203, right_input=-6555, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=-6450","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟2028⫲⨊)⪡(⋋%⋟5788⊭↱⋋%⋟1344)=⋋%⋟-8756","reverse_text":"⋋%⋟-8756=(⋋%⋟2028⫲⨊)⪡(⋋%⋟5788⊭↱⋋%⋟1344)","cot":[{"info":"⋋%⋟2028⫲⨊=⋋%⋟12224","layer":1},{"info":"⋋%⋟5788⊭↱⋋%⋟1344=⋋%⋟-8883","layer":1},{"info":"⋋%⋟12224⪡⋋%⋟-8883=⋋%⋟-8756","layer":0}]}
+{"id":231,"expression_no_base_symbol":"($1916$≳⇉$3270$)∑⇟⊟($1006$⋅⇍$5321$)","expression":"(⋋%⋟2558≳⇉⋋%⋟4433)∑⇟⊟(⋋%⋟1337⋅⇍⋋%⋟7262)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":166349446,"operation_count":3,"complexity_ratio":55449815.333333336,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":1916,"base":9},"right_expr":{"type":"numeric_atoms","value":3270,"base":9}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":1006,"base":9},"right_expr":{"type":"numeric_atoms","value":5321,"base":9}}},"used_operators":["U7g4x0WXJJ","V0kx6qeWkN","AdZkA7nFnk"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1916","layer":2},{"info":"number node, value=3270","layer":2},{"info":"compute binary expreesion, left_input=1916, right_input=3270, 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=1006","layer":2},{"info":"number node, value=5321","layer":2},{"info":"compute binary expreesion, left_input=1006, right_input=5321, 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 = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟2558≳⇉⋋%⋟4433)∑⇟⊟(⋋%⋟1337⋅⇍⋋%⋟7262)=NaN","reverse_text":"NaN=(⋋%⋟2558≳⇉⋋%⋟4433)∑⇟⊟(⋋%⋟1337⋅⇍⋋%⋟7262)","cot":[{"info":"⋋%⋟2558≳⇉⋋%⋟4433=NaN","layer":1},{"info":"⋋%⋟1337⋅⇍⋋%⋟7262=⋋%⋟-24","layer":1},{"info":"NaN∑⇟⊟⋋%⋟-24=NaN","layer":0}]}
+{"id":232,"expression_no_base_symbol":"(↨⩢⫨$4651$)≝⊿($1008$⩇∃⫛$2322$)","expression":"(↨⩢⫨⋋%⋟6337)≝⊿(⋋%⋟1340⩇∃⫛⋋%⋟3160)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":93,"operation_count":3,"complexity_ratio":31.0,"tree":{"type":"binary","operator":"≝⊿","left_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"numeric_atoms","value":4651,"base":9}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":1008,"base":9},"right_expr":{"type":"numeric_atoms","value":2322,"base":9}}},"used_operators":["OKKcZfAt5B","Z5CJsN7DuW","1aApVXNlOP"],"dependent_operators":["12rbrZMWeM","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG"],"result":"⋋%⋟-5563","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=4651","layer":2},{"info":"compute unary expreesion, input=4651, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":1},{"info":"number node, value=1008","layer":2},{"info":"number node, value=2322","layer":2},{"info":"compute binary expreesion, left_input=1008, right_input=2322, 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=1787","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=1787, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-4107","layer":0}],"base":9,"result_base":9,"text":"(↨⩢⫨⋋%⋟6337)≝⊿(⋋%⋟1340⩇∃⫛⋋%⋟3160)=⋋%⋟-5563","reverse_text":"⋋%⋟-5563=(↨⩢⫨⋋%⋟6337)≝⊿(⋋%⋟1340⩇∃⫛⋋%⋟3160)","cot":[{"info":"↨⩢⫨⋋%⋟6337=⋋%⋟0","layer":1},{"info":"⋋%⋟1340⩇∃⫛⋋%⋟3160=⋋%⋟2405","layer":1},{"info":"⋋%⋟0≝⊿⋋%⋟2405=⋋%⋟-5563","layer":0}]}
+{"id":233,"expression_no_base_symbol":"(↞≼$5838$)→⨶⪴(⪛⨧$1635$)","expression":"(↞≼⋋%⋟8006)→⨶⪴(⪛⨧⋋%⋟2216)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":25,"operation_count":3,"complexity_ratio":8.333333333333334,"tree":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"numeric_atoms","value":5838,"base":9}},"right_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"numeric_atoms","value":1635,"base":9}}},"used_operators":["bF6eod5Gvf","DE7zCoGJt9","6NJAcO2OWT"],"dependent_operators":["8w2t5hMYqp","9FxExcQeMw","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe"],"result":"⋋%⋟-21200","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=5838","layer":2},{"info":"compute unary expreesion, input=5838, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=46290","layer":1},{"info":"number node, value=1635","layer":2},{"info":"compute unary expreesion, input=1635, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=4671","layer":1},{"info":"compute binary expreesion, left_input=46290, right_input=4671, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-14013","layer":0}],"base":9,"result_base":9,"text":"(↞≼⋋%⋟8006)→⨶⪴(⪛⨧⋋%⋟2216)=⋋%⋟-21200","reverse_text":"⋋%⋟-21200=(↞≼⋋%⋟8006)→⨶⪴(⪛⨧⋋%⋟2216)","cot":[{"info":"↞≼⋋%⋟8006=⋋%⋟70443","layer":1},{"info":"⪛⨧⋋%⋟2216=⋋%⋟6360","layer":1},{"info":"⋋%⋟70443→⨶⪴⋋%⋟6360=⋋%⋟-21200","layer":0}]}
+{"id":234,"expression_no_base_symbol":"($2492$-$3771$)⋻⩜⩜(⊽$1212$)","expression":"(⋋%⋟3368-⋋%⋟5150)⋻⩜⩜(⊽⋋%⋟1586)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":119,"operation_count":3,"complexity_ratio":39.666666666666664,"tree":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2492,"base":9},"right_expr":{"type":"numeric_atoms","value":3771,"base":9}},"right_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"numeric_atoms","value":1212,"base":9}}},"used_operators":["oDCm7WA9JY","rysDP5nf3Z","QxG7OkqoLX"],"dependent_operators":["mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9"],"result":"⋋%⋟10582","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2492","layer":2},{"info":"number node, value=3771","layer":2},{"info":"compute binary expreesion, left_input=2492, right_input=3771, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1279","layer":1},{"info":"number node, value=1212","layer":2},{"info":"compute unary expreesion, input=1212, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=3946","layer":1},{"info":"compute binary expreesion, left_input=-1279, right_input=3946, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=7040","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟3368-⋋%⋟5150)⋻⩜⩜(⊽⋋%⋟1586)=⋋%⋟10582","reverse_text":"⋋%⋟10582=(⋋%⋟3368-⋋%⋟5150)⋻⩜⩜(⊽⋋%⋟1586)","cot":[{"info":"⋋%⋟3368-⋋%⋟5150=⋋%⋟-1671","layer":1},{"info":"⊽⋋%⋟1586=⋋%⋟5364","layer":1},{"info":"⋋%⋟-1671⋻⩜⩜⋋%⋟5364=⋋%⋟10582","layer":0}]}
+{"id":235,"expression_no_base_symbol":"($4303$⇤$2299$)≝⊰⇂","expression":"(⋋%⋟5811⇤⋋%⋟3134)≝⊰⇂","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":24,"operation_count":2,"complexity_ratio":12.0,"tree":{"type":"unary","operator":"≝⊰⇂","unary_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":4303,"base":9},"right_expr":{"type":"numeric_atoms","value":2299,"base":9}}},"used_operators":["htSmYCowi5","YSKBFp38Pu"],"dependent_operators":["9FxExcQeMw","DlLNRPXxWL","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q"],"result":"⋋%⋟-101835","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=4303","layer":2},{"info":"number node, value=2299","layer":2},{"info":"compute binary expreesion, left_input=4303, right_input=2299, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-30162","layer":1},{"info":"compute unary expreesion, input=-30162, op_id = htSmYCowi5, unary_op_definition = 'a≝⊰⇂ = { (a⩷∴51) , if a<491 ; (⫛⫱⨽a) , else }', output=-60458","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟5811⇤⋋%⋟3134)≝⊰⇂=⋋%⋟-101835","reverse_text":"⋋%⋟-101835=(⋋%⋟5811⇤⋋%⋟3134)≝⊰⇂","cot":[{"info":"⋋%⋟5811⇤⋋%⋟3134=⋋%⋟-45333","layer":1},{"info":"⋋%⋟-45333≝⊰⇂=⋋%⋟-101835","layer":0}]}
+{"id":236,"expression_no_base_symbol":"($5386$⨔≚≋$7033$)⩼⇪↪($4935$⪥$8371$)","expression":"(⋋%⋟7344⨔≚≋⋋%⋟10574)⩼⇪↪(⋋%⋟6683⪥⋋%⋟12431)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":85,"operation_count":3,"complexity_ratio":28.333333333333332,"tree":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":5386,"base":9},"right_expr":{"type":"numeric_atoms","value":7033,"base":9}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":4935,"base":9},"right_expr":{"type":"numeric_atoms","value":8371,"base":9}}},"used_operators":["ocnLzx9CaJ","Z57zeUYC9z","QbnwKVWMIQ"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF"],"result":"⋋%⋟-251177","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=5386","layer":2},{"info":"number node, value=7033","layer":2},{"info":"compute binary expreesion, left_input=5386, right_input=7033, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":1},{"info":"number node, value=4935","layer":2},{"info":"number node, value=8371","layer":2},{"info":"compute binary expreesion, left_input=4935, right_input=8371, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=24392","layer":1},{"info":"compute binary expreesion, left_input=9872, right_input=24392, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-151783","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟7344⨔≚≋⋋%⋟10574)⩼⇪↪(⋋%⋟6683⪥⋋%⋟12431)=⋋%⋟-251177","reverse_text":"⋋%⋟-251177=(⋋%⋟7344⨔≚≋⋋%⋟10574)⩼⇪↪(⋋%⋟6683⪥⋋%⋟12431)","cot":[{"info":"⋋%⋟7344⨔≚≋⋋%⋟10574=⋋%⋟14478","layer":1},{"info":"⋋%⋟6683⪥⋋%⋟12431=⋋%⋟36412","layer":1},{"info":"⋋%⋟14478⩼⇪↪⋋%⋟36412=⋋%⋟-251177","layer":0}]}
+{"id":237,"expression_no_base_symbol":"(⊽$4019$)≧⫂∧$3626$⊮⊟↴$6127$","expression":"(⊽⋋%⋟5455)≧⫂∧⋋%⋟4868⊮⊟↴⋋%⋟8357","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":54,"operation_count":3,"complexity_ratio":18.0,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"numeric_atoms","value":4019,"base":9}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":3626,"base":9},"right_expr":{"type":"numeric_atoms","value":6127,"base":9}}},"used_operators":["Ph9nP6C5qx","QxG7OkqoLX","QDVgd2eftb"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK"],"result":"⋋%⋟-575","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=4019","layer":2},{"info":"compute unary expreesion, input=4019, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=9560","layer":1},{"info":"number node, value=3626","layer":2},{"info":"number node, value=6127","layer":2},{"info":"compute binary expreesion, left_input=3626, right_input=6127, 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=9560, right_input=0, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-473","layer":0}],"base":9,"result_base":9,"text":"(⊽⋋%⋟5455)≧⫂∧⋋%⋟4868⊮⊟↴⋋%⋟8357=⋋%⋟-575","reverse_text":"⋋%⋟-575=(⊽⋋%⋟5455)≧⫂∧⋋%⋟4868⊮⊟↴⋋%⋟8357","cot":[{"info":"⊽⋋%⋟5455=⋋%⋟14102","layer":1},{"info":"⋋%⋟4868⊮⊟↴⋋%⋟8357=⋋%⋟0","layer":1},{"info":"⋋%⋟14102≧⫂∧⋋%⋟0=⋋%⋟-575","layer":0}]}
+{"id":238,"expression_no_base_symbol":"$1378$↳∿⪆$2067$→⨶⪴(⋗⩬⋾$1175$)","expression":"⋋%⋟1801↳∿⪆⋋%⋟2746→⨶⪴(⋗⩬⋾⋋%⋟1545)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2414,"operation_count":3,"complexity_ratio":804.6666666666666,"tree":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":1378,"base":9},"right_expr":{"type":"numeric_atoms","value":2067,"base":9}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1175,"base":9}}},"used_operators":["bF6eod5Gvf","Cw4SuJJGHO","DpFCA1CohY"],"dependent_operators":["8w2t5hMYqp","9FxExcQeMw","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1378","layer":2},{"info":"number node, value=2067","layer":2},{"info":"compute binary expreesion, left_input=1378, right_input=2067, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":1},{"info":"number node, value=1175","layer":2},{"info":"compute unary expreesion, input=1175, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-3525","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-3525, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=nan","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟1801↳∿⪆⋋%⋟2746→⨶⪴(⋗⩬⋾⋋%⋟1545)=NaN","reverse_text":"NaN=⋋%⋟1801↳∿⪆⋋%⋟2746→⨶⪴(⋗⩬⋾⋋%⋟1545)","cot":[{"info":"⋋%⋟1801↳∿⪆⋋%⋟2746=NaN","layer":1},{"info":"⋗⩬⋾⋋%⋟1545=⋋%⋟-4746","layer":1},{"info":"NaN→⨶⪴⋋%⋟-4746=NaN","layer":0}]}
+{"id":239,"expression_no_base_symbol":"($1857$⋅⇍$4276$)⩺⪪$1321$↬$1067$","expression":"(⋋%⋟2483⋅⇍⋋%⋟5771)⩺⪪⋋%⋟1727↬⋋%⋟1415","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":132,"operation_count":3,"complexity_ratio":44.0,"tree":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":1857,"base":9},"right_expr":{"type":"numeric_atoms","value":4276,"base":9}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1321,"base":9},"right_expr":{"type":"numeric_atoms","value":1067,"base":9}}},"used_operators":["uvdQJvN4PV","AdZkA7nFnk","B5M0gjZbta"],"dependent_operators":["Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1857","layer":2},{"info":"number node, value=4276","layer":2},{"info":"compute binary expreesion, left_input=1857, right_input=4276, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":1},{"info":"number node, value=1321","layer":2},{"info":"number node, value=1067","layer":2},{"info":"compute binary expreesion, left_input=1321, right_input=1067, 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=-22, right_input=nan, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟2483⋅⇍⋋%⋟5771)⩺⪪⋋%⋟1727↬⋋%⋟1415=NaN","reverse_text":"NaN=(⋋%⋟2483⋅⇍⋋%⋟5771)⩺⪪⋋%⋟1727↬⋋%⋟1415","cot":[{"info":"⋋%⋟2483⋅⇍⋋%⋟5771=⋋%⋟-24","layer":1},{"info":"⋋%⋟1727↬⋋%⋟1415=NaN","layer":1},{"info":"⋋%⋟-24⩺⪪NaN=NaN","layer":0}]}
+{"id":240,"expression_no_base_symbol":"∡$1233$⇄$1229$","expression":"∡⋋%⋟1620⇄⋋%⋟1615","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":13,"operation_count":2,"complexity_ratio":6.5,"tree":{"type":"unary","operator":"∡","unary_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":1233,"base":9},"right_expr":{"type":"numeric_atoms","value":1229,"base":9}}},"used_operators":["pRsWfj4Fpp","3EYGwJThht"],"dependent_operators":["D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI"],"result":"⋋%⋟0","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1233","layer":2},{"info":"number node, value=1229","layer":2},{"info":"compute binary expreesion, left_input=1233, right_input=1229, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=0","layer":0}],"base":9,"result_base":9,"text":"∡⋋%⋟1620⇄⋋%⋟1615=⋋%⋟0","reverse_text":"⋋%⋟0=∡⋋%⋟1620⇄⋋%⋟1615","cot":[{"info":"⋋%⋟1620⇄⋋%⋟1615=⋋%⋟0","layer":1},{"info":"∡⋋%⋟0=⋋%⋟0","layer":0}]}
+{"id":241,"expression_no_base_symbol":"($3934$⫦⪉$2715$)⇋≉","expression":"(⋋%⋟5351⫦⪉⋋%⋟3646)⇋≉","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":26,"operation_count":2,"complexity_ratio":13.0,"tree":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":3934,"base":9},"right_expr":{"type":"numeric_atoms","value":2715,"base":9}}},"used_operators":["XIabStNQrY","wscyQdcy20"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf"],"result":"⋋%⋟-8244","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3934","layer":2},{"info":"number node, value=2715","layer":2},{"info":"compute binary expreesion, left_input=3934, right_input=2715, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-2968","layer":1},{"info":"compute unary expreesion, input=-2968, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-6034","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟5351⫦⪉⋋%⋟3646)⇋≉=⋋%⋟-8244","reverse_text":"⋋%⋟-8244=(⋋%⋟5351⫦⪉⋋%⋟3646)⇋≉","cot":[{"info":"⋋%⋟5351⫦⪉⋋%⋟3646=⋋%⋟-4057","layer":1},{"info":"⋋%⋟-4057⇋≉=⋋%⋟-8244","layer":0}]}
+{"id":242,"expression_no_base_symbol":"⊥(⪲⇎$2447$)","expression":"⊥(⪲⇎⋋%⋟3318)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3,"operation_count":2,"complexity_ratio":1.5,"tree":{"type":"unary","operator":"⊥","unary_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":2447,"base":9}}},"used_operators":["Q3PJZHRvZv","XPYlsWDdGa"],"dependent_operators":["fu6greOZ01","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=2447","layer":2},{"info":"compute unary expreesion, input=2447, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=4894","layer":1},{"info":"compute unary expreesion, input=4894, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"⊥(⪲⇎⋋%⋟3318)=NaN","reverse_text":"NaN=⊥(⪲⇎⋋%⋟3318)","cot":[{"info":"⪲⇎⋋%⋟3318=⋋%⋟6637","layer":1},{"info":"⊥⋋%⋟6637=NaN","layer":0}]}
+{"id":243,"expression_no_base_symbol":"↯⪼($1027$⩺⪪$3671$)","expression":"↯⪼(⋋%⋟1361⩺⪪⋋%⋟5028)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":139,"operation_count":2,"complexity_ratio":69.5,"tree":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":1027,"base":9},"right_expr":{"type":"numeric_atoms","value":3671,"base":9}}},"used_operators":["8jW3W4yZS5","uvdQJvN4PV"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U"],"result":"⋋%⋟3651","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1027","layer":2},{"info":"number node, value=3671","layer":2},{"info":"compute binary expreesion, left_input=1027, right_input=3671, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":1},{"info":"compute unary expreesion, input=-1818, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=2719","layer":0}],"base":9,"result_base":9,"text":"↯⪼(⋋%⋟1361⩺⪪⋋%⋟5028)=⋋%⋟3651","reverse_text":"⋋%⋟3651=↯⪼(⋋%⋟1361⩺⪪⋋%⋟5028)","cot":[{"info":"⋋%⋟1361⩺⪪⋋%⋟5028=⋋%⋟-2440","layer":1},{"info":"↯⪼⋋%⋟-2440=⋋%⋟3651","layer":0}]}
+{"id":244,"expression_no_base_symbol":"↩⪖($1398$⊋≦⊧$1356$)","expression":"↩⪖(⋋%⋟1823⊋≦⊧⋋%⋟1766)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":41,"operation_count":2,"complexity_ratio":20.5,"tree":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":1398,"base":9},"right_expr":{"type":"numeric_atoms","value":1356,"base":9}}},"used_operators":["fG6uBQFnGz","oRDoc9rAEX"],"dependent_operators":["rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC"],"result":"⋋%⋟48415","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1398","layer":2},{"info":"number node, value=1356","layer":2},{"info":"compute binary expreesion, left_input=1398, right_input=1356, 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=-2472","layer":1},{"info":"compute unary expreesion, input=-2472, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a���))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=32414","layer":0}],"base":9,"result_base":9,"text":"↩⪖(⋋%⋟1823⊋≦⊧⋋%⋟1766)=⋋%⋟48415","reverse_text":"⋋%⋟48415=↩⪖(⋋%⋟1823⊋≦⊧⋋%⋟1766)","cot":[{"info":"⋋%⋟1823⊋≦⊧⋋%⋟1766=⋋%⋟-3346","layer":1},{"info":"↩⪖⋋%⋟-3346=⋋%⋟48415","layer":0}]}
+{"id":245,"expression_no_base_symbol":"$3214$⋓$1315$⊾⪯⋞($2798$⩤)","expression":"⋋%⋟4361⋓⋋%⋟1721⊾⪯⋞(⋋%⋟3748⩤)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":68,"operation_count":3,"complexity_ratio":22.666666666666668,"tree":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3214,"base":9},"right_expr":{"type":"numeric_atoms","value":1315,"base":9}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":2798,"base":9}}},"used_operators":["HK0tfVPux8","T2fj7uvVaJ","Z2TMIBDE3Q"],"dependent_operators":["s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd"],"result":"⋋%⋟-1111","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3214","layer":2},{"info":"number node, value=1315","layer":2},{"info":"compute binary expreesion, left_input=3214, right_input=1315, 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=2798","layer":2},{"info":"compute unary expreesion, input=2798, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-2798","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-2798, 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":0}],"base":9,"result_base":9,"text":"⋋%⋟4361⋓⋋%⋟1721⊾⪯⋞(⋋%⋟3748⩤)=⋋%⋟-1111","reverse_text":"⋋%⋟-1111=⋋%⋟4361⋓⋋%⋟1721⊾⪯⋞(⋋%⋟3748⩤)","cot":[{"info":"⋋%⋟4361⋓⋋%⋟1721=⋋%⋟0","layer":1},{"info":"⋋%⋟3748⩤=⋋%⋟-3748","layer":1},{"info":"⋋%⋟0⊾⪯⋞⋋%⋟-3748=⋋%⋟-1111","layer":0}]}
+{"id":246,"expression_no_base_symbol":"($1847$↸$5471$)⫩⊇","expression":"(⋋%⋟2472↸⋋%⋟7448)⫩⊇","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1852,"operation_count":2,"complexity_ratio":926.0,"tree":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":1847,"base":9},"right_expr":{"type":"numeric_atoms","value":5471,"base":9}}},"used_operators":["BjRHVeLaeN","1eCjFl0mb9"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK"],"result":"⋋%⋟-2425","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1847","layer":2},{"info":"number node, value=5471","layer":2},{"info":"compute binary expreesion, left_input=1847, right_input=5471, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=1847","layer":1},{"info":"compute unary expreesion, input=1847, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-1805","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟2472↸⋋%⋟7448)⫩⊇=⋋%⋟-2425","reverse_text":"⋋%⋟-2425=(⋋%⋟2472↸⋋%⋟7448)⫩⊇","cot":[{"info":"⋋%⋟2472↸⋋%⋟7448=⋋%⋟2472","layer":1},{"info":"⋋%⋟2472⫩⊇=⋋%⋟-2425","layer":0}]}
+{"id":247,"expression_no_base_symbol":"$1840$↳≱$1320$⨭⪣($6265$⋥≓≎$1684$)","expression":"⋋%⋟2464↳≱⋋%⋟1726⨭⪣(⋋%⋟8531⋥≓≎⋋%⋟2271)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":129,"operation_count":3,"complexity_ratio":43.0,"tree":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":1840,"base":9},"right_expr":{"type":"numeric_atoms","value":1320,"base":9}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":6265,"base":9},"right_expr":{"type":"numeric_atoms","value":1684,"base":9}}},"used_operators":["kn8WO9XteQ","JwTKLfZU96","Qy55tPpLXF"],"dependent_operators":["vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⋋%⋟-387","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1840","layer":2},{"info":"number node, value=1320","layer":2},{"info":"compute binary expreesion, left_input=1840, right_input=1320, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":1},{"info":"number node, value=6265","layer":2},{"info":"number node, value=1684","layer":2},{"info":"compute binary expreesion, left_input=6265, right_input=1684, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-2864","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-2864, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-322","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟2464↳≱⋋%⋟1726⨭⪣(⋋%⋟8531⋥≓≎⋋%⋟2271)=⋋%⋟-387","reverse_text":"⋋%⋟-387=⋋%⋟2464↳≱⋋%⋟1726⨭⪣(⋋%⋟8531⋥≓≎⋋%⋟2271)","cot":[{"info":"⋋%⋟2464↳≱⋋%⋟1726=⋋%⋟0","layer":1},{"info":"⋋%⋟8531⋥≓≎⋋%⋟2271=⋋%⋟-3832","layer":1},{"info":"⋋%⋟0⨭⪣⋋%⋟-3832=⋋%⋟-387","layer":0}]}
+{"id":248,"expression_no_base_symbol":"($3351$↰)⊬⨰$2372$≦↸$1801$","expression":"(⋋%⋟4533↰)⊬⨰⋋%⋟3225≦↸⋋%⋟2421","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":34,"operation_count":3,"complexity_ratio":11.333333333333334,"tree":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"unary","operator":"↰","unary_expr":{"type":"numeric_atoms","value":3351,"base":9}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":2372,"base":9},"right_expr":{"type":"numeric_atoms","value":1801,"base":9}}},"used_operators":["s3Fd5m9Dh2","bl5wxAcryP","RygbFNSyEJ"],"dependent_operators":["23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","nCS4ZIUYfx","Z2TMIBDE3Q","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj"],"result":"⋋%⋟-43038","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3351","layer":2},{"info":"compute unary expreesion, input=3351, op_id = bl5wxAcryP, unary_op_definition = 'a↰ = { ((a⨳⩥⨓101)⩤) }', output=3250","layer":1},{"info":"number node, value=2372","layer":2},{"info":"number node, value=1801","layer":2},{"info":"compute binary expreesion, left_input=2372, right_input=1801, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-7665","layer":1},{"info":"compute binary expreesion, left_input=3250, right_input=-7665, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=-28466","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟4533↰)⊬⨰⋋%⋟3225≦↸⋋%⋟2421=⋋%⋟-43038","reverse_text":"⋋%⋟-43038=(⋋%⋟4533↰)⊬⨰⋋%⋟3225≦↸⋋%⋟2421","cot":[{"info":"⋋%⋟4533↰=⋋%⋟4411","layer":1},{"info":"⋋%⋟3225≦↸⋋%⋟2421=⋋%⋟-11456","layer":1},{"info":"⋋%⋟4411⊬⨰⋋%⋟-11456=⋋%⋟-43038","layer":0}]}
+{"id":249,"expression_no_base_symbol":"$2833$∊∟⩊$6095$⊜","expression":"⋋%⋟3787∊∟⩊⋋%⋟8322⊜","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":11,"operation_count":2,"complexity_ratio":5.5,"tree":{"type":"unary","operator":"⊜","unary_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":2833,"base":9},"right_expr":{"type":"numeric_atoms","value":6095,"base":9}}},"used_operators":["Eev2Q7dYIw","ddLRYrp01A"],"dependent_operators":["g55IO6H4Gj","D4vGDi5EA2","P8v4zCKN1o","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU"],"result":"⋋%⋟-34050","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2833","layer":2},{"info":"number node, value=6095","layer":2},{"info":"compute binary expreesion, left_input=2833, right_input=6095, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=6095","layer":1},{"info":"compute unary expreesion, input=6095, op_id = Eev2Q7dYIw, unary_op_definition = 'a⊜ = { ((a≦≮≮)⨸⪁(∥⊫a)) }', output=-22644","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟3787∊∟⩊⋋%⋟8322⊜=⋋%⋟-34050","reverse_text":"⋋%⋟-34050=⋋%⋟3787∊∟⩊⋋%⋟8322⊜","cot":[{"info":"⋋%⋟3787∊∟⩊⋋%⋟8322=⋋%⋟8322","layer":1},{"info":"⋋%⋟8322⊜=⋋%⋟-34050","layer":0}]}
+{"id":250,"expression_no_base_symbol":"(∮$8546$)⩖⊿(≛$5613$)","expression":"(∮⋋%⋟12645)⩖⊿(≛⋋%⋟7626)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":347,"operation_count":3,"complexity_ratio":115.66666666666667,"tree":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"numeric_atoms","value":8546,"base":9}},"right_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"numeric_atoms","value":5613,"base":9}}},"used_operators":["RZ5CV9rWsJ","CqXKPLVYql","W7eaUhjymW"],"dependent_operators":["HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C"],"result":"⋋%⋟2578","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=8546","layer":2},{"info":"compute unary expreesion, input=8546, 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":1},{"info":"number node, value=5613","layer":2},{"info":"compute unary expreesion, input=5613, 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 binary expreesion, left_input=67, right_input=-10, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=1934","layer":0}],"base":9,"result_base":9,"text":"(∮⋋%⋟12645)⩖⊿(≛⋋%⋟7626)=⋋%⋟2578","reverse_text":"⋋%⋟2578=(∮⋋%⋟12645)⩖⊿(≛⋋%⋟7626)","cot":[{"info":"∮⋋%⋟12645=⋋%⋟74","layer":1},{"info":"≛⋋%⋟7626=⋋%⋟-11","layer":1},{"info":"⋋%⋟74⩖⊿⋋%⋟-11=⋋%⋟2578","layer":0}]}
+{"id":251,"expression_no_base_symbol":"($1141$⪨≂$1804$)≀⫉(⊆⋠$7626$)","expression":"(⋋%⋟1507⪨≂⋋%⋟2424)≀⫉(⊆⋠⋋%⋟11413)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":183,"operation_count":3,"complexity_ratio":61.0,"tree":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1141,"base":9},"right_expr":{"type":"numeric_atoms","value":1804,"base":9}},"right_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"numeric_atoms","value":7626,"base":9}}},"used_operators":["oZj3VtZNQx","sdazOOVcIp","EBhcHTkKd8"],"dependent_operators":["9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","rysDP5nf3Z","t8gj7n24qd","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J"],"result":"⋋%⋟3775","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1141","layer":2},{"info":"number node, value=1804","layer":2},{"info":"compute binary expreesion, left_input=1141, right_input=1804, 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=-1224","layer":1},{"info":"number node, value=7626","layer":2},{"info":"compute unary expreesion, input=7626, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-1224, right_input=0, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟1507⪨≂⋋%⋟2424)≀⫉(⊆⋠⋋%⋟11413)=⋋%⋟3775","reverse_text":"⋋%⋟3775=(⋋%⋟1507⪨≂⋋%⋟2424)≀⫉(⊆⋠⋋%⋟11413)","cot":[{"info":"⋋%⋟1507⪨≂⋋%⋟2424=⋋%⋟-1610","layer":1},{"info":"⊆⋠⋋%⋟11413=⋋%⋟0","layer":1},{"info":"⋋%⋟-1610≀⫉⋋%⋟0=⋋%⋟3775","layer":0}]}
+{"id":252,"expression_no_base_symbol":"$1028$+⇶⊼$2510$↸$3862$↤⩊$1863$","expression":"⋋%⋟1362+⇶⊼⋋%⋟3388↸⋋%⋟5261↤⩊⋋%⋟2500","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":178,"operation_count":3,"complexity_ratio":59.333333333333336,"tree":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1028,"base":9},"right_expr":{"type":"numeric_atoms","value":2510,"base":9}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":3862,"base":9},"right_expr":{"type":"numeric_atoms","value":1863,"base":9}}},"used_operators":["1eCjFl0mb9","TpPTUOHfaN","13rbtpv6ld"],"dependent_operators":["9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","AHs5Up7iyr","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1028","layer":2},{"info":"number node, value=2510","layer":2},{"info":"compute binary expreesion, left_input=1028, right_input=2510, 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=3862","layer":2},{"info":"number node, value=1863","layer":2},{"info":"compute binary expreesion, left_input=3862, right_input=1863, 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=nan, right_input=nan, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟1362+⇶⊼⋋%⋟3388↸⋋%⋟5261↤⩊⋋%⋟2500=NaN","reverse_text":"NaN=⋋%⋟1362+⇶⊼⋋%⋟3388↸⋋%⋟5261↤⩊⋋%⋟2500","cot":[{"info":"⋋%⋟1362+⇶⊼⋋%⋟3388=NaN","layer":1},{"info":"⋋%⋟5261↤⩊⋋%⋟2500=NaN","layer":1},{"info":"NaN↸NaN=NaN","layer":0}]}
+{"id":253,"expression_no_base_symbol":"($5248$⨻⩈⩔$1250$)↳∿⪆(⨩∲⋌$2022$)","expression":"(⋋%⋟7171⨻⩈⩔⋋%⋟1638)↳∿⪆(⨩∲⋌⋋%⋟2686)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2529,"operation_count":3,"complexity_ratio":843.0,"tree":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":5248,"base":9},"right_expr":{"type":"numeric_atoms","value":1250,"base":9}},"right_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"numeric_atoms","value":2022,"base":9}}},"used_operators":["Cw4SuJJGHO","nEsXyWgiOK","aSik1wnThz"],"dependent_operators":["hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=5248","layer":2},{"info":"number node, value=1250","layer":2},{"info":"compute binary expreesion, left_input=5248, right_input=1250, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=33583","layer":1},{"info":"number node, value=2022","layer":2},{"info":"compute unary expreesion, input=2022, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-2545","layer":1},{"info":"compute binary expreesion, left_input=33583, right_input=-2545, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟7171⨻⩈⩔⋋%⋟1638)↳∿⪆(⨩∲⋌⋋%⋟2686)=NaN","reverse_text":"NaN=(⋋%⋟7171⨻⩈⩔⋋%⋟1638)↳∿⪆(⨩∲⋌⋋%⋟2686)","cot":[{"info":"⋋%⋟7171⨻⩈⩔⋋%⋟1638=⋋%⋟51054","layer":1},{"info":"⨩∲⋌⋋%⋟2686=⋋%⋟-3437","layer":1},{"info":"⋋%⋟51054↳∿⪆⋋%⋟-3437=NaN","layer":0}]}
+{"id":254,"expression_no_base_symbol":"($1664$⨰$1571$)⫣⪄⊒$6983$⋕⪉⪜$2818$","expression":"(⋋%⋟2248⨰⋋%⋟2135)⫣⪄⊒⋋%⋟10518⋕⪉⪜⋋%⋟3771","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":62,"operation_count":3,"complexity_ratio":20.666666666666668,"tree":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1664,"base":9},"right_expr":{"type":"numeric_atoms","value":1571,"base":9}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":6983,"base":9},"right_expr":{"type":"numeric_atoms","value":2818,"base":9}}},"used_operators":["RabNbG55vr","eewbuw0ToL","z6LnFrNh4i"],"dependent_operators":["NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z"],"result":"⋋%⋟-25430","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1664","layer":2},{"info":"number node, value=1571","layer":2},{"info":"compute binary expreesion, left_input=1664, right_input=1571, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=103","layer":1},{"info":"number node, value=6983","layer":2},{"info":"number node, value=2818","layer":2},{"info":"compute binary expreesion, left_input=6983, right_input=2818, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":1},{"info":"compute binary expreesion, left_input=103, right_input=2802, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-17118","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟2248⨰⋋%⋟2135)⫣⪄⊒⋋%⋟10518⋕⪉⪜⋋%⋟3771=⋋%⋟-25430","reverse_text":"⋋%⋟-25430=(⋋%⋟2248⨰⋋%⋟2135)⫣⪄⊒⋋%⋟10518⋕⪉⪜⋋%⋟3771","cot":[{"info":"⋋%⋟2248⨰⋋%⋟2135=⋋%⋟124","layer":1},{"info":"⋋%⋟10518⋕⪉⪜⋋%⋟3771=⋋%⋟3753","layer":1},{"info":"⋋%⋟124⫣⪄⊒⋋%⋟3753=⋋%⋟-25430","layer":0}]}
+{"id":255,"expression_no_base_symbol":"($1508$⫉⨲⊜$2683$)⩦($2934$⇼⇔∾$6329$)","expression":"(⋋%⋟2055⫉⨲⊜⋋%⋟3611)⩦(⋋%⋟4020⇼⇔∾⋋%⋟8612)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":50,"operation_count":3,"complexity_ratio":16.666666666666668,"tree":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":1508,"base":9},"right_expr":{"type":"numeric_atoms","value":2683,"base":9}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2934,"base":9},"right_expr":{"type":"numeric_atoms","value":6329,"base":9}}},"used_operators":["0kmYd0q39Y","WhqkvtTD3t","tifHPKVTfV"],"dependent_operators":["N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","eewbuw0ToL","zVYPLywUTj","rysDP5nf3Z","t8gj7n24qd"],"result":"⋋%⋟0","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1508","layer":2},{"info":"number node, value=2683","layer":2},{"info":"compute binary expreesion, left_input=1508, right_input=2683, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":1},{"info":"number node, value=2934","layer":2},{"info":"number node, value=6329","layer":2},{"info":"compute binary expreesion, left_input=2934, right_input=6329, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=3395","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=3395, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=0","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟2055⫉⨲⊜⋋%⋟3611)⩦(⋋%⋟4020⇼⇔∾⋋%⋟8612)=⋋%⋟0","reverse_text":"⋋%⋟0=(⋋%⋟2055⫉⨲⊜⋋%⋟3611)⩦(⋋%⋟4020⇼⇔∾⋋%⋟8612)","cot":[{"info":"⋋%⋟2055⫉⨲⊜⋋%⋟3611=⋋%⋟0","layer":1},{"info":"⋋%⋟4020⇼⇔∾⋋%⋟8612=⋋%⋟4582","layer":1},{"info":"⋋%⋟0⩦⋋%⋟4582=⋋%⋟0","layer":0}]}
+{"id":256,"expression_no_base_symbol":"(↥$4914$)⨎(⇐$3460$)","expression":"(↥⋋%⋟6660)⨎(⇐⋋%⋟4664)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":144,"operation_count":3,"complexity_ratio":48.0,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":4914,"base":9}},"right_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"numeric_atoms","value":3460,"base":9}}},"used_operators":["rJVOvQCfKK","A8NUZmVepG","nmZMaaE0Q9"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","k8jYdgA6NY","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG"],"result":"⋋%⋟11853","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=4914","layer":2},{"info":"compute unary expreesion, input=4914, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=18","layer":1},{"info":"number node, value=3460","layer":2},{"info":"compute unary expreesion, input=3460, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=7986","layer":1},{"info":"compute binary expreesion, left_input=18, right_input=7986, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=7986","layer":0}],"base":9,"result_base":9,"text":"(↥⋋%⋟6660)⨎(⇐⋋%⋟4664)=⋋%⋟11853","reverse_text":"⋋%⋟11853=(↥⋋%⋟6660)⨎(⇐⋋%⋟4664)","cot":[{"info":"↥⋋%⋟6660=⋋%⋟20","layer":1},{"info":"⇐⋋%⋟4664=⋋%⋟11853","layer":1},{"info":"⋋%⋟20⨎⋋%⋟11853=⋋%⋟11853","layer":0}]}
+{"id":257,"expression_no_base_symbol":"$2670$⨼⩣$2726$⇄(⊑$1896$)","expression":"⋋%⋟3586⨼⩣⋋%⋟3658⇄(⊑⋋%⋟2536)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":786,"operation_count":3,"complexity_ratio":262.0,"tree":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":2670,"base":9},"right_expr":{"type":"numeric_atoms","value":2726,"base":9}},"right_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"numeric_atoms","value":1896,"base":9}}},"used_operators":["3EYGwJThht","JxwMv5le6e","IkUmn0D7oy"],"dependent_operators":["eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=2670","layer":2},{"info":"number node, value=2726","layer":2},{"info":"compute binary expreesion, left_input=2670, right_input=2726, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":1},{"info":"number node, value=1896","layer":2},{"info":"compute unary expreesion, input=1896, 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 = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟3586⨼⩣⋋%⋟3658⇄(⊑⋋%⋟2536)=NaN","reverse_text":"NaN=⋋%⋟3586⨼⩣⋋%⋟3658⇄(⊑⋋%⋟2536)","cot":[{"info":"⋋%⋟3586⨼⩣⋋%⋟3658=NaN","layer":1},{"info":"⊑⋋%⋟2536=⋋%⋟233","layer":1},{"info":"NaN⇄⋋%⋟233=NaN","layer":0}]}
+{"id":258,"expression_no_base_symbol":"⨙⪌($5972$↺$7306$)","expression":"⨙⪌(⋋%⋟8165↺⋋%⋟11017)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":913,"operation_count":2,"complexity_ratio":456.5,"tree":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":5972,"base":9},"right_expr":{"type":"numeric_atoms","value":7306,"base":9}}},"used_operators":["vEGLkm4Z2k","7j4O788W3g"],"dependent_operators":["tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd"],"result":"⋋%⋟1164","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=5972","layer":2},{"info":"number node, value=7306","layer":2},{"info":"compute binary expreesion, left_input=5972, right_input=7306, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=7306","layer":1},{"info":"compute unary expreesion, input=7306, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":0}],"base":9,"result_base":9,"text":"⨙⪌(⋋%⋟8165↺⋋%⋟11017)=⋋%⋟1164","reverse_text":"⋋%⋟1164=⨙⪌(⋋%⋟8165↺⋋%⋟11017)","cot":[{"info":"⋋%⋟8165↺⋋%⋟11017=⋋%⋟11017","layer":1},{"info":"⨙⪌⋋%⋟11017=⋋%⋟1164","layer":0}]}
+{"id":259,"expression_no_base_symbol":"($9211$⪭$3905$)⫽⇹≛","expression":"(⋋%⋟13564⪭⋋%⋟5318)⫽⇹≛","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":32,"operation_count":2,"complexity_ratio":16.0,"tree":{"type":"unary","operator":"⫽⇹≛","unary_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":9211,"base":9},"right_expr":{"type":"numeric_atoms","value":3905,"base":9}}},"used_operators":["NNaDxxp6OQ","j9kHMeSvPp"],"dependent_operators":["KbjG8mgYpV","AdZkA7nFnk","IWmyXbctLI","COABgblf1C","xUOZtlo3hN"],"result":"⋋%⋟332","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=9211","layer":2},{"info":"number node, value=3905","layer":2},{"info":"compute binary expreesion, left_input=9211, right_input=3905, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":1},{"info":"compute unary expreesion, input=5, op_id = NNaDxxp6OQ, unary_op_definition = 'a⫽⇹≛ = { ((113⋅⇍170)⪮%⊝(a∠↢a)) }', output=272","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟13564⪭⋋%⋟5318)⫽⇹≛=⋋%⋟332","reverse_text":"⋋%⋟332=(⋋%⋟13564⪭⋋%⋟5318)⫽⇹≛","cot":[{"info":"⋋%⋟13564⪭⋋%⋟5318=⋋%⋟5","layer":1},{"info":"⋋%⋟5⫽⇹≛=⋋%⋟332","layer":0}]}
+{"id":260,"expression_no_base_symbol":"($1092$∲⫓$1351$)⩵∡$1270$⫯⪬∳$3840$","expression":"(⋋%⋟1443∲⫓⋋%⋟1761)⩵∡⋋%⋟1661⫯⪬∳⋋%⋟5236","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":22,"operation_count":3,"complexity_ratio":7.333333333333333,"tree":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1092,"base":9},"right_expr":{"type":"numeric_atoms","value":1351,"base":9}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":1270,"base":9},"right_expr":{"type":"numeric_atoms","value":3840,"base":9}}},"used_operators":["Y7wcNGrDQJ","i8ToyICDmI","d7ASUq0ydm"],"dependent_operators":["NTOWxs364D","glklzrTFfD","tifHPKVTfV","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2"],"result":"⋋%⋟3281","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1092","layer":2},{"info":"number node, value=1351","layer":2},{"info":"compute binary expreesion, left_input=1092, right_input=1351, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"number node, value=1270","layer":2},{"info":"number node, value=3840","layer":2},{"info":"compute binary expreesion, left_input=1270, right_input=3840, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=2543","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=2543, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=2422","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟1443∲⫓⋋%⋟1761)⩵∡⋋%⋟1661⫯⪬∳⋋%⋟5236=⋋%⋟3281","reverse_text":"⋋%⋟3281=(⋋%⋟1443∲⫓⋋%⋟1761)⩵∡⋋%⋟1661⫯⪬∳⋋%⋟5236","cot":[{"info":"⋋%⋟1443∲⫓⋋%⋟1761=⋋%⋟0","layer":1},{"info":"⋋%⋟1661⫯⪬∳⋋%⋟5236=⋋%⋟3435","layer":1},{"info":"⋋%⋟0⩵∡⋋%⋟3435=⋋%⋟3281","layer":0}]}
+{"id":261,"expression_no_base_symbol":"⋣($4867$↙$6830$)","expression":"⋣(⋋%⋟6607↙⋋%⋟10328)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":7005,"operation_count":2,"complexity_ratio":3502.5,"tree":{"type":"unary","operator":"⋣","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":4867,"base":9},"right_expr":{"type":"numeric_atoms","value":6830,"base":9}}},"used_operators":["zQWRhDnn8F","yyfyN0ffXY"],"dependent_operators":["vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","tmPS8pqC7x","DpFCA1CohY"],"result":"⋋%⋟-135","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=4867","layer":2},{"info":"number node, value=6830","layer":2},{"info":"compute binary expreesion, left_input=4867, right_input=6830, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-20490","layer":1},{"info":"compute unary expreesion, input=-20490, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-113","layer":0}],"base":9,"result_base":9,"text":"⋣(⋋%⋟6607↙⋋%⋟10328)=⋋%⋟-135","reverse_text":"⋋%⋟-135=⋣(⋋%⋟6607↙⋋%⋟10328)","cot":[{"info":"⋋%⋟6607↙⋋%⋟10328=⋋%⋟-31086","layer":1},{"info":"⋣⋋%⋟-31086=⋋%⋟-135","layer":0}]}
+{"id":262,"expression_no_base_symbol":"$1566$⪶≀⋏$6829$≒∊($1205$∲⫓$6532$)","expression":"⋋%⋟2130⪶≀⋏⋋%⋟10327≒∊(⋋%⋟1578∲⫓⋋%⋟8857)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":30,"operation_count":3,"complexity_ratio":10.0,"tree":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":1566,"base":9},"right_expr":{"type":"numeric_atoms","value":6829,"base":9}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1205,"base":9},"right_expr":{"type":"numeric_atoms","value":6532,"base":9}}},"used_operators":["5KTvxBwnZo","zR4jO40bMj","i8ToyICDmI"],"dependent_operators":["3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","W4YGzv6Whe","t8gj7n24qd"],"result":"⋋%⋟28141","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1566","layer":2},{"info":"number node, value=6829","layer":2},{"info":"compute binary expreesion, left_input=1566, right_input=6829, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-18588","layer":1},{"info":"number node, value=1205","layer":2},{"info":"number node, value=6532","layer":2},{"info":"compute binary expreesion, left_input=1205, right_input=6532, 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=-18588, right_input=0, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=19072","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟2130⪶≀⋏⋋%⋟10327≒∊(⋋%⋟1578∲⫓⋋%⋟8857)=⋋%⋟28141","reverse_text":"⋋%⋟28141=⋋%⋟2130⪶≀⋏⋋%⋟10327≒∊(⋋%⋟1578∲⫓⋋%⋟8857)","cot":[{"info":"⋋%⋟2130⪶≀⋏⋋%⋟10327=⋋%⋟-27443","layer":1},{"info":"⋋%⋟1578∲⫓⋋%⋟8857=⋋%⋟0","layer":1},{"info":"⋋%⋟-27443≒∊⋋%⋟0=⋋%⋟28141","layer":0}]}
+{"id":263,"expression_no_base_symbol":"($2661$⪹)⩺⪪$4911$⩺⪪$6137$","expression":"(⋋%⋟3576⪹)⩺⪪⋋%⋟6656⩺⪪⋋%⋟8368","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":266,"operation_count":3,"complexity_ratio":88.66666666666667,"tree":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":2661,"base":9}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":4911,"base":9},"right_expr":{"type":"numeric_atoms","value":6137,"base":9}}},"used_operators":["uvdQJvN4PV","B3sABdIn96"],"dependent_operators":["Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","9FxExcQeMw","e1ybzncUwg","QMFrweE19q"],"result":"⋋%⋟-314468","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2661","layer":2},{"info":"compute unary expreesion, input=2661, op_id = B3sABdIn96, unary_op_definition = 'a⪹ = { ((402⫡⨏a)⩷∴(≉a)) }', output=9814","layer":1},{"info":"number node, value=4911","layer":2},{"info":"number node, value=6137","layer":2},{"info":"compute binary expreesion, left_input=4911, right_input=6137, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":1},{"info":"compute binary expreesion, left_input=9814, right_input=-1818, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-187010","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟3576⪹)⩺⪪⋋%⋟6656⩺⪪⋋%⋟8368=⋋%⋟-314468","reverse_text":"⋋%⋟-314468=(⋋%⋟3576⪹)⩺⪪⋋%⋟6656⩺⪪⋋%⋟8368","cot":[{"info":"⋋%⋟3576⪹=⋋%⋟14414","layer":1},{"info":"⋋%⋟6656⩺⪪⋋%⋟8368=⋋%⋟-2440","layer":1},{"info":"⋋%⋟14414⩺⪪⋋%⋟-2440=⋋%⋟-314468","layer":0}]}
+{"id":264,"expression_no_base_symbol":"$5450$⫗⊷⫓$6728$⨐($3847$⋣⋖$5733$)","expression":"⋋%⋟7425⫗⊷⫓⋋%⋟10205⨐(⋋%⋟5244⋣⋖⋋%⋟7770)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":648,"operation_count":3,"complexity_ratio":216.0,"tree":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":5450,"base":9},"right_expr":{"type":"numeric_atoms","value":6728,"base":9}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":3847,"base":9},"right_expr":{"type":"numeric_atoms","value":5733,"base":9}}},"used_operators":["Noe24qw2ks","zashukvMKz","J0M6qkBnIM"],"dependent_operators":["u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2"],"result":"⋋%⋟327","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=5450","layer":2},{"info":"number node, value=6728","layer":2},{"info":"compute binary expreesion, left_input=5450, right_input=6728, 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":"number node, value=3847","layer":2},{"info":"number node, value=5733","layer":2},{"info":"compute binary expreesion, left_input=3847, right_input=5733, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=3847","layer":1},{"info":"compute binary expreesion, left_input=-134, right_input=3847, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=268","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟7425⫗⊷⫓⋋%⋟10205⨐(⋋%⋟5244⋣⋖⋋%⋟7770)=⋋%⋟327","reverse_text":"⋋%⋟327=⋋%⋟7425⫗⊷⫓⋋%⋟10205⨐(⋋%⋟5244⋣⋖⋋%⋟7770)","cot":[{"info":"⋋%⋟7425⫗⊷⫓⋋%⋟10205=⋋%⋟-158","layer":1},{"info":"⋋%⋟5244⋣⋖⋋%⋟7770=⋋%⋟5244","layer":1},{"info":"⋋%⋟-158⨐⋋%⋟5244=⋋%⋟327","layer":0}]}
+{"id":265,"expression_no_base_symbol":"(⫡⇟⇯$3909$)⨑⩅≇($3883$⩹$3264$)","expression":"(⫡⇟⇯⋋%⋟5323)⨑⩅≇(⋋%⋟5284⩹⋋%⋟4426)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3333,"operation_count":3,"complexity_ratio":1111.0,"tree":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"numeric_atoms","value":3909,"base":9}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":3883,"base":9},"right_expr":{"type":"numeric_atoms","value":3264,"base":9}}},"used_operators":["h92wMvzauj","qWUSsah53b","2Wsdkap16l"],"dependent_operators":["s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","DZ8iAZOCBD","P8v4zCKN1o","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx"],"result":"⋋%⋟-38663","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3909","layer":2},{"info":"compute unary expreesion, input=3909, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=8686","layer":1},{"info":"number node, value=3883","layer":2},{"info":"number node, value=3264","layer":2},{"info":"compute binary expreesion, left_input=3883, right_input=3264, 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=3262","layer":1},{"info":"compute binary expreesion, left_input=8686, right_input=3262, 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=-26058","layer":0}],"base":9,"result_base":9,"text":"(⫡⇟⇯⋋%⋟5323)⨑⩅≇(⋋%⋟5284⩹⋋%⋟4426)=⋋%⋟-38663","reverse_text":"⋋%⋟-38663=(⫡⇟⇯⋋%⋟5323)⨑⩅≇(⋋%⋟5284⩹⋋%⋟4426)","cot":[{"info":"⫡⇟⇯⋋%⋟5323=⋋%⋟12821","layer":1},{"info":"⋋%⋟5284⩹⋋%⋟4426=⋋%⋟4424","layer":1},{"info":"⋋%⋟12821⨑⩅≇⋋%⋟4424=⋋%⋟-38663","layer":0}]}
+{"id":266,"expression_no_base_symbol":"$3020$⨟⋌⩍$3296$⩹$6234$⩒⫫$4317$","expression":"⋋%⋟4125⨟⋌⩍⋋%⋟4462⩹⋋%⋟8486⩒⫫⋋%⋟5826","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":38,"operation_count":3,"complexity_ratio":12.666666666666666,"tree":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":3020,"base":9},"right_expr":{"type":"numeric_atoms","value":3296,"base":9}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":6234,"base":9},"right_expr":{"type":"numeric_atoms","value":4317,"base":9}}},"used_operators":["2Wsdkap16l","rGHVDoGpnC","KFSx94NKJn"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","Tcnh7f0tEr","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP"],"result":"⋋%⋟8118","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=3020","layer":2},{"info":"number node, value=3296","layer":2},{"info":"compute binary expreesion, left_input=3020, right_input=3296, 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=6234","layer":2},{"info":"number node, value=4317","layer":2},{"info":"compute binary expreesion, left_input=6234, right_input=4317, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=5932","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=5932, 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=5930","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟4125⨟⋌⩍⋋%⋟4462⩹⋋%⋟8486⩒⫫⋋%⋟5826=⋋%⋟8118","reverse_text":"⋋%⋟8118=⋋%⋟4125⨟⋌⩍⋋%⋟4462⩹⋋%⋟8486⩒⫫⋋%⋟5826","cot":[{"info":"⋋%⋟4125⨟⋌⩍⋋%⋟4462=NaN","layer":1},{"info":"⋋%⋟8486⩒⫫⋋%⋟5826=⋋%⋟8121","layer":1},{"info":"NaN⩹⋋%⋟8121=⋋%⋟8118","layer":0}]}
+{"id":267,"expression_no_base_symbol":"$5515$⨐$1430$⪕$6608$⪥$1089$","expression":"⋋%⋟7507⨐⋋%⋟1858⪕⋋%⋟10052⪥⋋%⋟1440","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":37,"operation_count":3,"complexity_ratio":12.333333333333334,"tree":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":5515,"base":9},"right_expr":{"type":"numeric_atoms","value":1430,"base":9}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":6608,"base":9},"right_expr":{"type":"numeric_atoms","value":1089,"base":9}}},"used_operators":["umQnsF7QlU","Noe24qw2ks","QbnwKVWMIQ"],"dependent_operators":["P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF"],"result":"⋋%⋟-61","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=5515","layer":2},{"info":"number node, value=1430","layer":2},{"info":"compute binary expreesion, left_input=5515, right_input=1430, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-11030","layer":1},{"info":"number node, value=6608","layer":2},{"info":"number node, value=1089","layer":2},{"info":"compute binary expreesion, left_input=6608, right_input=1089, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=31084","layer":1},{"info":"compute binary expreesion, left_input=-11030, right_input=31084, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=-55","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟7507⨐⋋%⋟1858⪕⋋%⋟10052⪥⋋%⋟1440=⋋%⋟-61","reverse_text":"⋋%⋟-61=⋋%⋟7507⨐⋋%⋟1858⪕⋋%⋟10052⪥⋋%⋟1440","cot":[{"info":"⋋%⋟7507⨐⋋%⋟1858=⋋%⋟-16115","layer":1},{"info":"⋋%⋟10052⪥⋋%⋟1440=⋋%⋟46567","layer":1},{"info":"⋋%⋟-16115⪕⋋%⋟46567=⋋%⋟-61","layer":0}]}
+{"id":268,"expression_no_base_symbol":"(⪨⨬$4384$)⩺⋐⫨","expression":"(⪨⨬⋋%⋟6011)⩺⋐⫨","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":583,"operation_count":2,"complexity_ratio":291.5,"tree":{"type":"unary","operator":"⩺⋐⫨","unary_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"numeric_atoms","value":4384,"base":9}}},"used_operators":["yS9ePUuUdn","5obUd6DV38"],"dependent_operators":["9samAPKr6k","j9kHMeSvPp","Tcnh7f0tEr","T2fj7uvVaJ","nlCqmYiOvY"],"result":"⋋%⋟0","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=4384","layer":2},{"info":"compute unary expreesion, input=4384, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":1},{"info":"compute unary expreesion, input=-526, op_id = yS9ePUuUdn, unary_op_definition = 'a⩺⋐⫨ = { ((a≣⋋)⨽∌(a⪭a)) }', output=0","layer":0}],"base":9,"result_base":9,"text":"(⪨⨬⋋%⋟6011)⩺⋐⫨=⋋%⋟0","reverse_text":"⋋%⋟0=(⪨⨬⋋%⋟6011)⩺⋐⫨","cot":[{"info":"⪨⨬⋋%⋟6011=⋋%⋟-644","layer":1},{"info":"⋋%⋟-644⩺⋐⫨=⋋%⋟0","layer":0}]}
+{"id":269,"expression_no_base_symbol":"$3662$⊉↱≁$1613$⊉↱≁($2200$⩧⪆$1137$)","expression":"⋋%⋟5018⊉↱≁⋋%⋟2182⊉↱≁(⋋%⋟3014⩧⪆⋋%⋟1503)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":51,"operation_count":3,"complexity_ratio":17.0,"tree":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":3662,"base":9},"right_expr":{"type":"numeric_atoms","value":1613,"base":9}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":2200,"base":9},"right_expr":{"type":"numeric_atoms","value":1137,"base":9}}},"used_operators":["w2P8NbNXyL","Ikt5ks8PT7"],"dependent_operators":["9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","eewbuw0ToL","t8gj7n24qd"],"result":"⋋%⋟460130","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3662","layer":2},{"info":"number node, value=1613","layer":2},{"info":"compute binary expreesion, left_input=3662, right_input=1613, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=26890","layer":1},{"info":"number node, value=2200","layer":2},{"info":"number node, value=1137","layer":2},{"info":"compute binary expreesion, left_input=2200, right_input=1137, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-1137","layer":1},{"info":"compute binary expreesion, left_input=26890, right_input=-1137, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=275670","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟5018⊉↱≁⋋%⋟2182⊉↱≁(⋋%⋟3014⩧⪆⋋%⋟1503)=⋋%⋟460130","reverse_text":"⋋%⋟460130=⋋%⋟5018⊉↱≁⋋%⋟2182⊉↱≁(⋋%⋟3014⩧⪆⋋%⋟1503)","cot":[{"info":"⋋%⋟5018⊉↱≁⋋%⋟2182=⋋%⋟40787","layer":1},{"info":"⋋%⋟3014⩧⪆⋋%⋟1503=⋋%⋟-1503","layer":1},{"info":"⋋%⋟40787⊉↱≁⋋%⋟-1503=⋋%⋟460130","layer":0}]}
+{"id":270,"expression_no_base_symbol":"$3018$⇷$3090$≥⨤⩑(⨙⪌$9359$)","expression":"⋋%⋟4123⇷⋋%⋟4213≥⨤⩑(⨙⪌⋋%⋟13748)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":43178,"operation_count":3,"complexity_ratio":14392.666666666666,"tree":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3018,"base":9},"right_expr":{"type":"numeric_atoms","value":3090,"base":9}},"right_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"numeric_atoms","value":9359,"base":9}}},"used_operators":["gJLn6v0xnP","mp7IySMOzn","vEGLkm4Z2k"],"dependent_operators":["mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X"],"result":"⋋%⋟1621","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=3018","layer":2},{"info":"number node, value=3090","layer":2},{"info":"compute binary expreesion, left_input=3018, right_input=3090, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=6180","layer":1},{"info":"number node, value=9359","layer":2},{"info":"compute unary expreesion, input=9359, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":1},{"info":"compute binary expreesion, left_input=6180, right_input=868, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟4123⇷⋋%⋟4213≥⨤⩑(⨙⪌⋋%⋟13748)=⋋%⋟1621","reverse_text":"⋋%⋟1621=⋋%⋟4123⇷⋋%⋟4213≥⨤⩑(⨙⪌⋋%⋟13748)","cot":[{"info":"⋋%⋟4123⇷⋋%⋟4213=⋋%⋟8426","layer":1},{"info":"⨙⪌⋋%⋟13748=⋋%⋟1164","layer":1},{"info":"⋋%⋟8426≥⨤⩑⋋%⋟1164=⋋%⋟1621","layer":0}]}
+{"id":271,"expression_no_base_symbol":"(⨡↴$1536$)⪶≀⋏($1057$⫳≱↱$3888$)","expression":"(⨡↴⋋%⋟2086)⪶≀⋏(⋋%⋟1404⫳≱↱⋋%⋟5300)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":326,"operation_count":3,"complexity_ratio":108.66666666666667,"tree":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"numeric_atoms","value":1536,"base":9}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":1057,"base":9},"right_expr":{"type":"numeric_atoms","value":3888,"base":9}}},"used_operators":["zR4jO40bMj","liw5iZPkLH","ZvLB05nZmT"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","W4YGzv6Whe","P8v4zCKN1o","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA"],"result":"⋋%⋟-11351","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1536","layer":2},{"info":"compute unary expreesion, input=1536, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=2585","layer":1},{"info":"number node, value=1057","layer":2},{"info":"number node, value=3888","layer":2},{"info":"compute binary expreesion, left_input=1057, right_input=3888, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":1},{"info":"compute binary expreesion, left_input=2585, right_input=-204, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-7579","layer":0}],"base":9,"result_base":9,"text":"(⨡↴⋋%⋟2086)⪶≀⋏(⋋%⋟1404⫳≱↱⋋%⋟5300)=⋋%⋟-11351","reverse_text":"⋋%⋟-11351=(⨡↴⋋%⋟2086)⪶≀⋏(⋋%⋟1404⫳≱↱⋋%⋟5300)","cot":[{"info":"⨡↴⋋%⋟2086=⋋%⋟3482","layer":1},{"info":"⋋%⋟1404⫳≱↱⋋%⋟5300=⋋%⋟-246","layer":1},{"info":"⋋%⋟3482⪶≀⋏⋋%⋟-246=⋋%⋟-11351","layer":0}]}
+{"id":272,"expression_no_base_symbol":"($7996$↸$3452$)↬($1178$⫌⩹⨱)","expression":"(⋋%⋟11864↸⋋%⋟4655)↬(⋋%⋟1548⫌⩹⨱)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3463,"operation_count":3,"complexity_ratio":1154.3333333333333,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":7996,"base":9},"right_expr":{"type":"numeric_atoms","value":3452,"base":9}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":1178,"base":9}}},"used_operators":["B5M0gjZbta","1eCjFl0mb9","EBcxylXtPf"],"dependent_operators":["rGHVDoGpnC","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=7996","layer":2},{"info":"number node, value=3452","layer":2},{"info":"compute binary expreesion, left_input=7996, right_input=3452, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=7996","layer":1},{"info":"number node, value=1178","layer":2},{"info":"compute unary expreesion, input=1178, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=3757","layer":1},{"info":"compute binary expreesion, left_input=7996, right_input=3757, 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":9,"result_base":9,"text":"(⋋%⋟11864↸⋋%⋟4655)↬(⋋%⋟1548⫌⩹⨱)=NaN","reverse_text":"NaN=(⋋%⋟11864↸⋋%⋟4655)↬(⋋%⋟1548⫌⩹⨱)","cot":[{"info":"⋋%⋟11864↸⋋%⋟4655=⋋%⋟11864","layer":1},{"info":"⋋%⋟1548⫌⩹⨱=⋋%⋟5134","layer":1},{"info":"⋋%⋟11864↬⋋%⋟5134=NaN","layer":0}]}
+{"id":273,"expression_no_base_symbol":"($2839$≦≮≮)⩵∡$1285$⪇≇⋚$2172$","expression":"(⋋%⋟3804≦≮≮)⩵∡⋋%⋟1677⪇≇⋚⋋%⋟2873","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":21,"operation_count":3,"complexity_ratio":7.0,"tree":{"type":"binary","operator":"⩵∡","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":2839,"base":9}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":1285,"base":9},"right_expr":{"type":"numeric_atoms","value":2172,"base":9}}},"used_operators":["Y7wcNGrDQJ","D4vGDi5EA2","3sJ7IOPOlU"],"dependent_operators":["NTOWxs364D","glklzrTFfD","tifHPKVTfV","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN"],"result":"⋋%⋟37785","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2839","layer":2},{"info":"compute unary expreesion, input=2839, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-8517","layer":1},{"info":"number node, value=1285","layer":2},{"info":"number node, value=2172","layer":2},{"info":"compute binary expreesion, left_input=1285, right_input=2172, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-8517, right_input=0, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=25430","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟3804≦≮≮)⩵∡⋋%⋟1677⪇≇⋚⋋%⋟2873=⋋%⋟37785","reverse_text":"⋋%⋟37785=(⋋%⋟3804≦≮≮)⩵∡⋋%⋟1677⪇≇⋚⋋%⋟2873","cot":[{"info":"⋋%⋟3804≦≮≮=⋋%⋟-12613","layer":1},{"info":"⋋%⋟1677⪇≇⋚⋋%⋟2873=⋋%⋟0","layer":1},{"info":"⋋%⋟-12613⩵∡⋋%⋟0=⋋%⋟37785","layer":0}]}
+{"id":274,"expression_no_base_symbol":"→⩰($1994$*$1737$)","expression":"→⩰(⋋%⋟2655*⋋%⋟2340)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2115,"operation_count":2,"complexity_ratio":1057.5,"tree":{"type":"unary","operator":"→⩰","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1994,"base":9},"right_expr":{"type":"numeric_atoms","value":1737,"base":9}}},"used_operators":["o8Pngz0Tml","9HNa5Wba9A"],"dependent_operators":["9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1994","layer":2},{"info":"number node, value=1737","layer":2},{"info":"compute binary expreesion, left_input=1994, right_input=1737, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=3463578","layer":1},{"info":"compute unary expreesion, input=3463578, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"→⩰(⋋%⋟2655*⋋%⋟2340)=NaN","reverse_text":"NaN=→⩰(⋋%⋟2655*⋋%⋟2340)","cot":[{"info":"⋋%⋟2655*⋋%⋟2340=⋋%⋟6458120","layer":1},{"info":"→⩰⋋%⋟6458120=NaN","layer":0}]}
+{"id":275,"expression_no_base_symbol":"(⋂$2541$)⇻⋧≁($1198$≨$3968$)","expression":"(⋂⋋%⋟3433)⇻⋧≁(⋋%⋟1571≨⋋%⋟5388)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":261,"operation_count":3,"complexity_ratio":87.0,"tree":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"unary","operator":"⋂","unary_expr":{"type":"numeric_atoms","value":2541,"base":9}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":1198,"base":9},"right_expr":{"type":"numeric_atoms","value":3968,"base":9}}},"used_operators":["jCPkEVoL5K","BUOGQAYlQx","0KMCeP1Jsh"],"dependent_operators":["eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC"],"result":"⋋%⋟0","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2541","layer":2},{"info":"compute unary expreesion, input=2541, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=-34978","layer":1},{"info":"number node, value=1198","layer":2},{"info":"number node, value=3968","layer":2},{"info":"compute binary expreesion, left_input=1198, right_input=3968, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-9504","layer":1},{"info":"compute binary expreesion, left_input=-34978, right_input=-9504, 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":9,"result_base":9,"text":"(⋂⋋%⋟3433)⇻⋧≁(⋋%⋟1571≨⋋%⋟5388)=⋋%⋟0","reverse_text":"⋋%⋟0=(⋂⋋%⋟3433)⇻⋧≁(⋋%⋟1571≨⋋%⋟5388)","cot":[{"info":"⋂⋋%⋟3433=⋋%⋟-52874","layer":1},{"info":"⋋%⋟1571≨⋋%⋟5388=⋋%⋟-14030","layer":1},{"info":"⋋%⋟-52874⇻⋧≁⋋%⋟-14030=⋋%⋟0","layer":0}]}
+{"id":276,"expression_no_base_symbol":"∷≠($2628$⫳≱↱$3691$)","expression":"∷≠(⋋%⋟3540⫳≱↱⋋%⋟5051)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":311,"operation_count":2,"complexity_ratio":155.5,"tree":{"type":"unary","operator":"∷≠","unary_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":2628,"base":9},"right_expr":{"type":"numeric_atoms","value":3691,"base":9}}},"used_operators":["QiR2Oyf5Xj","ZvLB05nZmT"],"dependent_operators":["7j4O788W3g","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA"],"result":"⋋%⋟-246","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=2628","layer":2},{"info":"number node, value=3691","layer":2},{"info":"compute binary expreesion, left_input=2628, right_input=3691, 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 = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=-204","layer":0}],"base":9,"result_base":9,"text":"∷≠(⋋%⋟3540⫳≱↱⋋%⋟5051)=⋋%⋟-246","reverse_text":"⋋%⋟-246=∷≠(⋋%⋟3540⫳≱↱⋋%⋟5051)","cot":[{"info":"⋋%⋟3540⫳≱↱⋋%⋟5051=⋋%⋟-246","layer":1},{"info":"∷≠⋋%⋟-246=⋋%⋟-246","layer":0}]}
+{"id":277,"expression_no_base_symbol":"↽≂($1704$⪘⨀)","expression":"↽≂(⋋%⋟2303⪘⨀)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":27,"operation_count":2,"complexity_ratio":13.5,"tree":{"type":"unary","operator":"↽≂","unary_expr":{"type":"unary","operator":"⪘⨀","unary_expr":{"type":"numeric_atoms","value":1704,"base":9}}},"used_operators":["u6S6b8DprG","aA7tF3KVD3"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","bl5wxAcryP","L05ObWFQCd","XhwjNDsVaA"],"result":"⋋%⋟11844","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1704","layer":2},{"info":"compute unary expreesion, input=1704, op_id = aA7tF3KVD3, unary_op_definition = 'a⪘⨀ = { ((104/a)⪍↜⋙(a↰)) }', output=-3989","layer":1},{"info":"compute unary expreesion, input=-3989, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=7978","layer":0}],"base":9,"result_base":9,"text":"↽≂(⋋%⋟2303⪘⨀)=⋋%⋟11844","reverse_text":"⋋%⋟11844=↽≂(⋋%⋟2303⪘⨀)","cot":[{"info":"⋋%⋟2303⪘⨀=⋋%⋟-5422","layer":1},{"info":"↽≂⋋%⋟-5422=⋋%⋟11844","layer":0}]}
+{"id":278,"expression_no_base_symbol":"(≱⇩⩕$2997$)⨓$1605$⨻⩈⩔$3823$","expression":"(≱⇩⩕⋋%⋟4100)⨓⋋%⋟2173⨻⩈⩔⋋%⋟5217","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4582,"operation_count":3,"complexity_ratio":1527.3333333333333,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"numeric_atoms","value":2997,"base":9}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":1605,"base":9},"right_expr":{"type":"numeric_atoms","value":3823,"base":9}}},"used_operators":["3ViojmjbAp","3DZMoQKiUl","nEsXyWgiOK"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG"],"result":"⋋%⋟-6075","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2997","layer":2},{"info":"compute unary expreesion, input=2997, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":1},{"info":"number node, value=1605","layer":2},{"info":"number node, value=3823","layer":2},{"info":"compute binary expreesion, left_input=1605, right_input=3823, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=4439","layer":1},{"info":"compute binary expreesion, left_input=113, right_input=4439, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4442","layer":0}],"base":9,"result_base":9,"text":"(≱⇩⩕⋋%⋟4100)⨓⋋%⋟2173⨻⩈⩔⋋%⋟5217=⋋%⋟-6075","reverse_text":"⋋%⋟-6075=(≱⇩⩕⋋%⋟4100)⨓⋋%⋟2173⨻⩈⩔⋋%⋟5217","cot":[{"info":"≱⇩⩕⋋%⋟4100=⋋%⋟135","layer":1},{"info":"⋋%⋟2173⨻⩈⩔⋋%⋟5217=⋋%⋟6072","layer":1},{"info":"⋋%⋟135⨓⋋%⋟6072=⋋%⋟-6075","layer":0}]}
+{"id":279,"expression_no_base_symbol":"($4453$⪍↜⋙$1962$)⨽∌($1486$∣$2279$)","expression":"(⋋%⋟6087⪍↜⋙⋋%⋟2620)⨽∌(⋋%⋟2031∣⋋%⋟3112)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":75,"operation_count":3,"complexity_ratio":25.0,"tree":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":4453,"base":9},"right_expr":{"type":"numeric_atoms","value":1962,"base":9}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":1486,"base":9},"right_expr":{"type":"numeric_atoms","value":2279,"base":9}}},"used_operators":["9samAPKr6k","L05ObWFQCd","PPChnnnBFF"],"dependent_operators":["YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI"],"result":"⋋%⋟0","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=4453","layer":2},{"info":"number node, value=1962","layer":2},{"info":"compute binary expreesion, left_input=4453, right_input=1962, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=4982","layer":1},{"info":"number node, value=1486","layer":2},{"info":"number node, value=2279","layer":2},{"info":"compute binary expreesion, left_input=1486, right_input=2279, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=1486","layer":1},{"info":"compute binary expreesion, left_input=4982, right_input=1486, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟6087⪍↜⋙⋋%⋟2620)⨽∌(⋋%⋟2031∣⋋%⋟3112)=⋋%⋟0","reverse_text":"⋋%⋟0=(⋋%⋟6087⪍↜⋙⋋%⋟2620)⨽∌(⋋%⋟2031∣⋋%⋟3112)","cot":[{"info":"⋋%⋟6087⪍↜⋙⋋%⋟2620=⋋%⋟6745","layer":1},{"info":"⋋%⋟2031∣⋋%⋟3112=⋋%⋟2031","layer":1},{"info":"⋋%⋟6745⨽∌⋋%⋟2031=⋋%⋟0","layer":0}]}
+{"id":280,"expression_no_base_symbol":"$1266$⩇∃⫛$1839$+⇶⊼$1042$≴⪞⇿$1150$","expression":"⋋%⋟1656⩇∃⫛⋋%⋟2463+⇶⊼⋋%⋟1377≴⪞⇿⋋%⋟1517","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":817,"operation_count":3,"complexity_ratio":272.3333333333333,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":1266,"base":9},"right_expr":{"type":"numeric_atoms","value":1839,"base":9}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":1042,"base":9},"right_expr":{"type":"numeric_atoms","value":1150,"base":9}}},"used_operators":["TpPTUOHfaN","1aApVXNlOP","lvlrscuwVU"],"dependent_operators":["AHs5Up7iyr","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1266","layer":2},{"info":"number node, value=1839","layer":2},{"info":"compute binary expreesion, left_input=1266, right_input=1839, 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=1046","layer":1},{"info":"number node, value=1042","layer":2},{"info":"number node, value=1150","layer":2},{"info":"compute binary expreesion, left_input=1042, right_input=1150, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=1182956","layer":1},{"info":"compute binary expreesion, left_input=1046, right_input=1182956, 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":9,"result_base":9,"text":"⋋%⋟1656⩇∃⫛⋋%⋟2463+⇶⊼⋋%⋟1377≴⪞⇿⋋%⋟1517=NaN","reverse_text":"NaN=⋋%⋟1656⩇∃⫛⋋%⋟2463+⇶⊼⋋%⋟1377≴⪞⇿⋋%⋟1517","cot":[{"info":"⋋%⋟1656⩇∃⫛⋋%⋟2463=⋋%⋟1382","layer":1},{"info":"⋋%⋟1377≴⪞⇿⋋%⋟1517=⋋%⋟2202635","layer":1},{"info":"⋋%⋟1382+⇶⊼⋋%⋟2202635=NaN","layer":0}]}
+{"id":281,"expression_no_base_symbol":"($5131$⫲≸⪮$5706$)⇷($1974$⪔$1336$)","expression":"(⋋%⋟7031⫲≸⪮⋋%⋟7740)⇷(⋋%⋟2633⪔⋋%⋟1744)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":78403,"operation_count":3,"complexity_ratio":26134.333333333332,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":5131,"base":9},"right_expr":{"type":"numeric_atoms","value":5706,"base":9}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":1974,"base":9},"right_expr":{"type":"numeric_atoms","value":1336,"base":9}}},"used_operators":["mp7IySMOzn","P3lXMJvFrc","GjBEYRfMaF"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi"],"result":"⋋%⋟1210","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=5131","layer":2},{"info":"number node, value=5706","layer":2},{"info":"compute binary expreesion, left_input=5131, right_input=5706, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=5131","layer":1},{"info":"number node, value=1974","layer":2},{"info":"number node, value=1336","layer":2},{"info":"compute binary expreesion, left_input=1974, right_input=1336, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":1},{"info":"compute binary expreesion, left_input=5131, right_input=450, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=900","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟7031⫲≸⪮⋋%⋟7740)⇷(⋋%⋟2633⪔⋋%⋟1744)=⋋%⋟1210","reverse_text":"⋋%⋟1210=(⋋%⋟7031⫲≸⪮⋋%⋟7740)⇷(⋋%⋟2633⪔⋋%⋟1744)","cot":[{"info":"⋋%⋟7031⫲≸⪮⋋%⋟7740=⋋%⋟7031","layer":1},{"info":"⋋%⋟2633⪔⋋%⋟1744=⋋%⋟550","layer":1},{"info":"⋋%⋟7031⇷⋋%⋟550=⋋%⋟1210","layer":0}]}
+{"id":282,"expression_no_base_symbol":"$3810$↤⩊$1788$≑≱⪘","expression":"⋋%⋟5203↤⩊⋋%⋟2406≑≱⪘","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":205,"operation_count":2,"complexity_ratio":102.5,"tree":{"type":"unary","operator":"≑≱⪘","unary_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":3810,"base":9},"right_expr":{"type":"numeric_atoms","value":1788,"base":9}}},"used_operators":["tGSeddj7UK","13rbtpv6ld"],"dependent_operators":["9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=3810","layer":2},{"info":"number node, value=1788","layer":2},{"info":"compute binary expreesion, left_input=3810, right_input=1788, 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 = 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":9,"result_base":9,"text":"⋋%⋟5203↤⩊⋋%⋟2406≑≱⪘=NaN","reverse_text":"NaN=⋋%⋟5203↤⩊⋋%⋟2406≑≱⪘","cot":[{"info":"⋋%⋟5203↤⩊⋋%⋟2406=NaN","layer":1},{"info":"NaN≑≱⪘=NaN","layer":0}]}
+{"id":283,"expression_no_base_symbol":"($1293$⨑≵⋬$3853$)⋣⋖$2746$⨼⩣$2014$","expression":"(⋋%⋟1686⨑≵⋬⋋%⋟5251)⋣⋖⋋%⋟3681⨼⩣⋋%⋟2677","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":390,"operation_count":3,"complexity_ratio":130.0,"tree":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":1293,"base":9},"right_expr":{"type":"numeric_atoms","value":3853,"base":9}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":2746,"base":9},"right_expr":{"type":"numeric_atoms","value":2014,"base":9}}},"used_operators":["J0M6qkBnIM","XnXgA4xnOs","JxwMv5le6e"],"dependent_operators":["VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE"],"result":"⋋%⋟-28212","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1293","layer":2},{"info":"number node, value=3853","layer":2},{"info":"compute binary expreesion, left_input=1293, right_input=3853, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-19127","layer":1},{"info":"number node, value=2746","layer":2},{"info":"number node, value=2014","layer":2},{"info":"compute binary expreesion, left_input=2746, right_input=2014, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-19127, right_input=nan, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=-19127","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟1686⨑≵⋬⋋%⋟5251)⋣⋖⋋%⋟3681⨼⩣⋋%⋟2677=⋋%⋟-28212","reverse_text":"⋋%⋟-28212=(⋋%⋟1686⨑≵⋬⋋%⋟5251)⋣⋖⋋%⋟3681⨼⩣⋋%⋟2677","cot":[{"info":"⋋%⋟1686⨑≵⋬⋋%⋟5251=⋋%⋟-28212","layer":1},{"info":"⋋%⋟3681⨼⩣⋋%⋟2677=NaN","layer":1},{"info":"⋋%⋟-28212⋣⋖NaN=⋋%⋟-28212","layer":0}]}
+{"id":284,"expression_no_base_symbol":"$7615$⪒⊣⊆$3828$⊋($6480$⊝⪿⪼$3048$)","expression":"⋋%⋟11401⪒⊣⊆⋋%⋟5223⊋(⋋%⋟8800⊝⪿⪼⋋%⋟4156)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":145492,"operation_count":3,"complexity_ratio":48497.333333333336,"tree":{"type":"binary","operator":"⊋","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":7615,"base":9},"right_expr":{"type":"numeric_atoms","value":3828,"base":9}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":6480,"base":9},"right_expr":{"type":"numeric_atoms","value":3048,"base":9}}},"used_operators":["W4tP9CfskL","eRqsBgTDFp","3Oe9XWJUTD"],"dependent_operators":["2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","sdazOOVcIp","W4YGzv6Whe","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q"],"result":"-Inf","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=7615","layer":2},{"info":"number node, value=3828","layer":2},{"info":"compute binary expreesion, left_input=7615, right_input=3828, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=15230","layer":1},{"info":"number node, value=6480","layer":2},{"info":"number node, value=3048","layer":2},{"info":"compute binary expreesion, left_input=6480, right_input=3048, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=87988","layer":1},{"info":"compute binary expreesion, left_input=15230, right_input=87988, 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":0}],"base":9,"result_base":9,"text":"⋋%⋟11401⪒⊣⊆⋋%⋟5223⊋(⋋%⋟8800⊝⪿⪼⋋%⋟4156)=-Inf","reverse_text":"-Inf=⋋%⋟11401⪒⊣⊆⋋%⋟5223⊋(⋋%⋟8800⊝⪿⪼⋋%⋟4156)","cot":[{"info":"⋋%⋟11401⪒⊣⊆⋋%⋟5223=⋋%⋟22802","layer":1},{"info":"⋋%⋟8800⊝⪿⪼⋋%⋟4156=⋋%⋟143624","layer":1},{"info":"⋋%⋟22802⊋⋋%⋟143624=-Inf","layer":0}]}
+{"id":285,"expression_no_base_symbol":"$2976$∌$2620$⪚($1527$⊲⩕⊾$2366$)","expression":"⋋%⋟4066∌⋋%⋟3531⪚(⋋%⋟2076⊲⩕⊾⋋%⋟3218)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":45,"operation_count":3,"complexity_ratio":15.0,"tree":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":2976,"base":9},"right_expr":{"type":"numeric_atoms","value":2620,"base":9}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":1527,"base":9},"right_expr":{"type":"numeric_atoms","value":2366,"base":9}}},"used_operators":["HrjLwUk87U","8cLx32lpNA","DmTXOeWf9t"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C"],"result":"⋋%⋟5878","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2976","layer":2},{"info":"number node, value=2620","layer":2},{"info":"compute binary expreesion, left_input=2976, right_input=2620, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-2620","layer":1},{"info":"number node, value=1527","layer":2},{"info":"number node, value=2366","layer":2},{"info":"compute binary expreesion, left_input=1527, right_input=2366, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-44722","layer":1},{"info":"compute binary expreesion, left_input=-2620, right_input=-44722, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=4364","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟4066∌⋋%⋟3531⪚(⋋%⋟2076⊲⩕⊾⋋%⋟3218)=⋋%⋟5878","reverse_text":"⋋%⋟5878=⋋%⋟4066∌⋋%⋟3531⪚(⋋%⋟2076⊲⩕⊾⋋%⋟3218)","cot":[{"info":"⋋%⋟4066∌⋋%⋟3531=⋋%⋟-3531","layer":1},{"info":"⋋%⋟2076⊲⩕⊾⋋%⋟3218=⋋%⋟-67311","layer":1},{"info":"⋋%⋟-3531⪚⋋%⋟-67311=⋋%⋟5878","layer":0}]}
+{"id":286,"expression_no_base_symbol":"$5427$≝⊿$1099$⇴∐$1585$⨽∌$3445$","expression":"⋋%⋟7400≝⊿⋋%⋟1451⇴∐⋋%⋟2151⨽∌⋋%⋟4647","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":97,"operation_count":3,"complexity_ratio":32.333333333333336,"tree":{"type":"binary","operator":"⇴∐","left_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":5427,"base":9},"right_expr":{"type":"numeric_atoms","value":1099,"base":9}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":1585,"base":9},"right_expr":{"type":"numeric_atoms","value":3445,"base":9}}},"used_operators":["HnzytWxmAO","OKKcZfAt5B","9samAPKr6k"],"dependent_operators":["2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","12rbrZMWeM","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu"],"result":"⋋%⋟-2417","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=5427","layer":2},{"info":"number node, value=1099","layer":2},{"info":"compute binary expreesion, left_input=5427, right_input=1099, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-8158","layer":1},{"info":"number node, value=1585","layer":2},{"info":"number node, value=3445","layer":2},{"info":"compute binary expreesion, left_input=1585, right_input=3445, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-8158, right_input=0, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=-1798","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟7400≝⊿⋋%⋟1451⇴∐⋋%⋟2151⨽∌⋋%⋟4647=⋋%⋟-2417","reverse_text":"⋋%⋟-2417=⋋%⋟7400≝⊿⋋%⋟1451⇴∐⋋%⋟2151⨽∌⋋%⋟4647","cot":[{"info":"⋋%⋟7400≝⊿⋋%⋟1451=⋋%⋟-12164","layer":1},{"info":"⋋%⋟2151⨽∌⋋%⋟4647=⋋%⋟0","layer":1},{"info":"⋋%⋟-12164⇴∐⋋%⋟0=⋋%⋟-2417","layer":0}]}
+{"id":287,"expression_no_base_symbol":"$4695$⪭$1949$⨐⩸⫘(⨞⊢$5638$)","expression":"⋋%⋟6386⪭⋋%⋟2605⨐⩸⫘(⨞⊢⋋%⋟7654)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":9,"operation_count":3,"complexity_ratio":3.0,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":4695,"base":9},"right_expr":{"type":"numeric_atoms","value":1949,"base":9}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":5638,"base":9}}},"used_operators":["fu6greOZ01","j9kHMeSvPp","xUOZtlo3hN"],"dependent_operators":["3ViojmjbAp","COABgblf1C","xUOZtlo3hN","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=4695","layer":2},{"info":"number node, value=1949","layer":2},{"info":"compute binary expreesion, left_input=4695, right_input=1949, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":1},{"info":"number node, value=5638","layer":2},{"info":"compute unary expreesion, input=5638, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-5812","layer":1},{"info":"compute binary expreesion, left_input=5, right_input=-5812, 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":9,"result_base":9,"text":"⋋%⋟6386⪭⋋%⋟2605⨐⩸⫘(⨞⊢⋋%⋟7654)=NaN","reverse_text":"NaN=⋋%⋟6386⪭⋋%⋟2605⨐⩸⫘(⨞⊢⋋%⋟7654)","cot":[{"info":"⋋%⋟6386⪭⋋%⋟2605=⋋%⋟5","layer":1},{"info":"⨞⊢⋋%⋟7654=⋋%⋟-7867","layer":1},{"info":"⋋%⋟5⨐⩸⫘⋋%⋟-7867=NaN","layer":0}]}
+{"id":288,"expression_no_base_symbol":"($4672$⨔⇊$1278$)≦↸($3137$∼$1302$)","expression":"(⋋%⋟6361⨔⇊⋋%⋟1670)≦↸(⋋%⋟4265∼⋋%⋟1706)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":85,"operation_count":3,"complexity_ratio":28.333333333333332,"tree":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":4672,"base":9},"right_expr":{"type":"numeric_atoms","value":1278,"base":9}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3137,"base":9},"right_expr":{"type":"numeric_atoms","value":1302,"base":9}}},"used_operators":["RygbFNSyEJ","JclMnS0uGI","DyGG3AbaNP"],"dependent_operators":["eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=4672","layer":2},{"info":"number node, value=1278","layer":2},{"info":"compute binary expreesion, left_input=4672, right_input=1278, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=1278","layer":1},{"info":"number node, value=3137","layer":2},{"info":"number node, value=1302","layer":2},{"info":"compute binary expreesion, left_input=3137, right_input=1302, 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=1278, right_input=nan, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟6361⨔⇊⋋%⋟1670)≦↸(⋋%⋟4265∼⋋%⋟1706)=NaN","reverse_text":"NaN=(⋋%⋟6361⨔⇊⋋%⋟1670)≦↸(⋋%⋟4265∼⋋%⋟1706)","cot":[{"info":"⋋%⋟6361⨔⇊⋋%⋟1670=⋋%⋟1670","layer":1},{"info":"⋋%⋟4265∼⋋%⋟1706=NaN","layer":1},{"info":"⋋%⋟1670≦↸NaN=NaN","layer":0}]}
+{"id":289,"expression_no_base_symbol":"($3384$⇮⋭$8248$)⩁⩘($4245$⫔⩽⩺$2575$)","expression":"(⋋%⋟4570⇮⋭⋋%⋟12274)⩁⩘(⋋%⋟5736⫔⩽⩺⋋%⋟3471)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":98,"operation_count":3,"complexity_ratio":32.666666666666664,"tree":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":3384,"base":9},"right_expr":{"type":"numeric_atoms","value":8248,"base":9}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":4245,"base":9},"right_expr":{"type":"numeric_atoms","value":2575,"base":9}}},"used_operators":["gub5Cegaqo","vkpjKywKVM","i9eR4S00cU"],"dependent_operators":["DpFCA1CohY","IWmyXbctLI","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","Tw270M8GLb","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=3384","layer":2},{"info":"number node, value=8248","layer":2},{"info":"compute binary expreesion, left_input=3384, right_input=8248, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":1},{"info":"number node, value=4245","layer":2},{"info":"number node, value=2575","layer":2},{"info":"compute binary expreesion, left_input=4245, right_input=2575, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-473, right_input=nan, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟4570⇮⋭⋋%⋟12274)⩁⩘(⋋%⋟5736⫔⩽⩺⋋%⋟3471)=NaN","reverse_text":"NaN=(⋋%⋟4570⇮⋭⋋%⋟12274)⩁⩘(⋋%⋟5736⫔⩽⩺⋋%⋟3471)","cot":[{"info":"⋋%⋟4570⇮⋭⋋%⋟12274=⋋%⋟-575","layer":1},{"info":"⋋%⋟5736⫔⩽⩺⋋%⋟3471=NaN","layer":1},{"info":"⋋%⋟-575⩁⩘NaN=NaN","layer":0}]}
+{"id":290,"expression_no_base_symbol":"$3084$⨓$1255$⇮⋭(⩎⋉$8025$)","expression":"⋋%⋟4206⨓⋋%⋟1644⇮⋭(⩎⋉⋋%⋟12006)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1381,"operation_count":3,"complexity_ratio":460.3333333333333,"tree":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3084,"base":9},"right_expr":{"type":"numeric_atoms","value":1255,"base":9}},"right_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"numeric_atoms","value":8025,"base":9}}},"used_operators":["vkpjKywKVM","3ViojmjbAp","FlXk3pOYe8"],"dependent_operators":["nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ"],"result":"⋋%⋟74","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3084","layer":2},{"info":"number node, value=1255","layer":2},{"info":"compute binary expreesion, left_input=3084, right_input=1255, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1258","layer":1},{"info":"number node, value=8025","layer":2},{"info":"compute unary expreesion, input=8025, 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=-1258, right_input=1650, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟4206⨓⋋%⋟1644⇮⋭(⩎⋉⋋%⋟12006)=⋋%⋟74","reverse_text":"⋋%⋟74=⋋%⋟4206⨓⋋%⋟1644⇮⋭(⩎⋉⋋%⋟12006)","cot":[{"info":"⋋%⋟4206⨓⋋%⋟1644=⋋%⋟-1647","layer":1},{"info":"⩎⋉⋋%⋟12006=⋋%⋟2233","layer":1},{"info":"⋋%⋟-1647⇮⋭⋋%⋟2233=⋋%⋟74","layer":0}]}
+{"id":291,"expression_no_base_symbol":"($2871$⨪↰⇹$2623$)≠≀$6697$⇡⇂$2344$","expression":"(⋋%⋟3840⨪↰⇹⋋%⋟3534)≠≀⋋%⋟10161⇡⇂⋋%⋟3184","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":14933,"operation_count":3,"complexity_ratio":4977.666666666667,"tree":{"type":"binary","operator":"≠≀","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2871,"base":9},"right_expr":{"type":"numeric_atoms","value":2623,"base":9}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":6697,"base":9},"right_expr":{"type":"numeric_atoms","value":2344,"base":9}}},"used_operators":["IwW236VD4Y","tmPS8pqC7x","UMwdvZNt44"],"dependent_operators":["eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","rJVOvQCfKK","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1"],"result":"⋋%⋟-7410","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=2871","layer":2},{"info":"number node, value=2623","layer":2},{"info":"compute binary expreesion, left_input=2871, right_input=2623, 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=2871","layer":1},{"info":"number node, value=6697","layer":2},{"info":"number node, value=2344","layer":2},{"info":"compute binary expreesion, left_input=6697, right_input=2344, 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=2871, right_input=nan, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-5436","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟3840⨪↰⇹⋋%⋟3534)≠≀⋋%⋟10161⇡⇂⋋%⋟3184=⋋%⋟-7410","reverse_text":"⋋%⋟-7410=(⋋%⋟3840⨪↰⇹⋋%⋟3534)≠≀⋋%⋟10161⇡⇂⋋%⋟3184","cot":[{"info":"⋋%⋟3840⨪↰⇹⋋%⋟3534=⋋%⋟3840","layer":1},{"info":"⋋%⋟10161⇡⇂⋋%⋟3184=NaN","layer":1},{"info":"⋋%⋟3840≠≀NaN=⋋%⋟-7410","layer":0}]}
+{"id":292,"expression_no_base_symbol":"($5452$⊉↱≁$4166$)⩦($1765$≃$2724$)","expression":"(⋋%⋟7427⊉↱≁⋋%⋟5638)⩦(⋋%⋟2371≃⋋%⋟3656)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":59,"operation_count":3,"complexity_ratio":19.666666666666668,"tree":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":5452,"base":9},"right_expr":{"type":"numeric_atoms","value":4166,"base":9}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":1765,"base":9},"right_expr":{"type":"numeric_atoms","value":2724,"base":9}}},"used_operators":["0kmYd0q39Y","w2P8NbNXyL","YbVcJGFEVW"],"dependent_operators":["N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C"],"result":"⋋%⋟88763","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=5452","layer":2},{"info":"number node, value=4166","layer":2},{"info":"compute binary expreesion, left_input=5452, right_input=4166, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=29472","layer":1},{"info":"number node, value=1765","layer":2},{"info":"number node, value=2724","layer":2},{"info":"compute binary expreesion, left_input=1765, right_input=2724, 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=-7100","layer":1},{"info":"compute binary expreesion, left_input=29472, right_input=-7100, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=58944","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟7427⊉↱≁⋋%⋟5638)⩦(⋋%⋟2371≃⋋%⋟3656)=⋋%⋟88763","reverse_text":"⋋%⋟88763=(⋋%⋟7427⊉↱≁⋋%⋟5638)⩦(⋋%⋟2371≃⋋%⋟3656)","cot":[{"info":"⋋%⋟7427⊉↱≁⋋%⋟5638=⋋%⋟44376","layer":1},{"info":"⋋%⋟2371≃⋋%⋟3656=⋋%⋟-10658","layer":1},{"info":"⋋%⋟44376⩦⋋%⋟-10658=⋋%⋟88763","layer":0}]}
+{"id":293,"expression_no_base_symbol":"$1165$⊾⪯⋞$2787$⫃⨇$4260$⇻⋧≁$3398$","expression":"⋋%⋟1534⊾⪯⋞⋋%⋟3736⫃⨇⋋%⋟5753⇻⋧≁⋋%⋟4585","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4356,"operation_count":3,"complexity_ratio":1452.0,"tree":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":1165,"base":9},"right_expr":{"type":"numeric_atoms","value":2787,"base":9}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":4260,"base":9},"right_expr":{"type":"numeric_atoms","value":3398,"base":9}}},"used_operators":["09Ly4LVMIf","HK0tfVPux8","jCPkEVoL5K"],"dependent_operators":["9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe"],"result":"⋋%⋟2361","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1165","layer":2},{"info":"number node, value=2787","layer":2},{"info":"compute binary expreesion, left_input=1165, right_input=2787, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=5148","layer":1},{"info":"number node, value=4260","layer":2},{"info":"number node, value=3398","layer":2},{"info":"compute binary expreesion, left_input=4260, right_input=3398, 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=5148, right_input=-447, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=1756","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟1534⊾⪯⋞⋋%⋟3736⫃⨇⋋%⋟5753⇻⋧≁⋋%⋟4585=⋋%⋟2361","reverse_text":"⋋%⋟2361=⋋%⋟1534⊾⪯⋞⋋%⋟3736⫃⨇⋋%⋟5753⇻⋧≁⋋%⋟4585","cot":[{"info":"⋋%⋟1534⊾⪯⋞⋋%⋟3736=⋋%⋟7050","layer":1},{"info":"⋋%⋟5753⇻⋧≁⋋%⋟4585=⋋%⋟-546","layer":1},{"info":"⋋%⋟7050⫃⨇⋋%⋟-546=⋋%⋟2361","layer":0}]}
+{"id":294,"expression_no_base_symbol":"$1039$⪔$7534$⋷$3791$↳∿⪆$1429$","expression":"⋋%⋟1374⪔⋋%⋟11301⋷⋋%⋟5172↳∿⪆⋋%⋟1857","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":10025,"operation_count":3,"complexity_ratio":3341.6666666666665,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":1039,"base":9},"right_expr":{"type":"numeric_atoms","value":7534,"base":9}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":3791,"base":9},"right_expr":{"type":"numeric_atoms","value":1429,"base":9}}},"used_operators":["23Mk6UjR3U","GjBEYRfMaF","Cw4SuJJGHO"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q"],"result":"⋋%⋟-1210","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1039","layer":2},{"info":"number node, value=7534","layer":2},{"info":"compute binary expreesion, left_input=1039, right_input=7534, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":1},{"info":"number node, value=3791","layer":2},{"info":"number node, value=1429","layer":2},{"info":"compute binary expreesion, left_input=3791, right_input=1429, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=450, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-900","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟1374⪔⋋%⋟11301⋷⋋%⋟5172↳∿⪆⋋%⋟1857=⋋%⋟-1210","reverse_text":"⋋%⋟-1210=⋋%⋟1374⪔⋋%⋟11301⋷⋋%⋟5172↳∿⪆⋋%⋟1857","cot":[{"info":"⋋%⋟1374⪔⋋%⋟11301=⋋%⋟550","layer":1},{"info":"⋋%⋟5172↳∿⪆⋋%⋟1857=NaN","layer":1},{"info":"⋋%⋟550⋷NaN=⋋%⋟-1210","layer":0}]}
+{"id":295,"expression_no_base_symbol":"⪨⨬($2331$%$4519$)","expression":"⪨⨬(⋋%⋟3170%⋋%⋟6171)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":23,"operation_count":2,"complexity_ratio":11.5,"tree":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2331,"base":9},"right_expr":{"type":"numeric_atoms","value":4519,"base":9}}},"used_operators":["5obUd6DV38","k8jYdgA6NY"],"dependent_operators":["T2fj7uvVaJ","nlCqmYiOvY","rysDP5nf3Z"],"result":"⋋%⋟-644","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=2331","layer":2},{"info":"number node, value=4519","layer":2},{"info":"compute binary expreesion, left_input=2331, right_input=4519, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2331","layer":1},{"info":"compute unary expreesion, input=2331, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":0}],"base":9,"result_base":9,"text":"⪨⨬(⋋%⋟3170%⋋%⋟6171)=⋋%⋟-644","reverse_text":"⋋%⋟-644=⪨⨬(⋋%⋟3170%⋋%⋟6171)","cot":[{"info":"⋋%⋟3170%⋋%⋟6171=⋋%⋟3170","layer":1},{"info":"⪨⨬⋋%⋟3170=⋋%⋟-644","layer":0}]}
+{"id":296,"expression_no_base_symbol":"(⊖∈$4585$)⨓(+⊝⨔$6934$)","expression":"(⊖∈⋋%⋟6254)⨓(+⊝⨔⋋%⋟10454)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1624,"operation_count":3,"complexity_ratio":541.3333333333334,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"numeric_atoms","value":4585,"base":9}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":6934,"base":9}}},"used_operators":["3ViojmjbAp","YFxL8Sc2Zy","DhbWaqg5eL"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"⋋%⋟-2074","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=4585","layer":2},{"info":"compute unary expreesion, input=4585, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=86106","layer":1},{"info":"number node, value=6934","layer":2},{"info":"compute unary expreesion, input=6934, 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":1},{"info":"compute binary expreesion, left_input=86106, right_input=1522, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1525","layer":0}],"base":9,"result_base":9,"text":"(⊖∈⋋%⋟6254)⨓(+⊝⨔⋋%⋟10454)=⋋%⋟-2074","reverse_text":"⋋%⋟-2074=(⊖∈⋋%⋟6254)⨓(+⊝⨔⋋%⋟10454)","cot":[{"info":"⊖∈⋋%⋟6254=⋋%⋟141103","layer":1},{"info":"+⊝⨔⋋%⋟10454=⋋%⋟2071","layer":1},{"info":"⋋%⋟141103⨓⋋%⋟2071=⋋%⋟-2074","layer":0}]}
+{"id":297,"expression_no_base_symbol":"⇋⊎⋝($1518$⪟⇏$2020$)","expression":"⇋⊎⋝(⋋%⋟2066⪟⇏⋋%⋟2684)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":28,"operation_count":2,"complexity_ratio":14.0,"tree":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":1518,"base":9},"right_expr":{"type":"numeric_atoms","value":2020,"base":9}}},"used_operators":["CzM2PEoXns","GODebY97qR"],"dependent_operators":["dWAJyo7jo9","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X"],"result":"⋋%⋟0","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1518","layer":2},{"info":"number node, value=2020","layer":2},{"info":"compute binary expreesion, left_input=1518, right_input=2020, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":1},{"info":"compute unary expreesion, input=-1, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=0","layer":0}],"base":9,"result_base":9,"text":"⇋⊎⋝(⋋%⋟2066⪟⇏⋋%⋟2684)=⋋%⋟0","reverse_text":"⋋%⋟0=⇋⊎⋝(⋋%⋟2066⪟⇏⋋%⋟2684)","cot":[{"info":"⋋%⋟2066⪟⇏⋋%⋟2684=⋋%⋟-1","layer":1},{"info":"⇋⊎⋝⋋%⋟-1=⋋%⋟0","layer":0}]}
+{"id":298,"expression_no_base_symbol":"($3331$∼$7147$)⩖⊿($4239$∠⫱$3475$)","expression":"(⋋%⋟4511∼⋋%⋟10721)⩖⊿(⋋%⋟5730∠⫱⋋%⋟4681)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":105,"operation_count":3,"complexity_ratio":35.0,"tree":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3331,"base":9},"right_expr":{"type":"numeric_atoms","value":7147,"base":9}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":4239,"base":9},"right_expr":{"type":"numeric_atoms","value":3475,"base":9}}},"used_operators":["RZ5CV9rWsJ","DyGG3AbaNP","QvoQhV0rrE"],"dependent_operators":["HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=3331","layer":2},{"info":"number node, value=7147","layer":2},{"info":"compute binary expreesion, left_input=3331, right_input=7147, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":1},{"info":"number node, value=4239","layer":2},{"info":"number node, value=3475","layer":2},{"info":"compute binary expreesion, left_input=4239, right_input=3475, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1234, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟4511∼⋋%⋟10721)⩖⊿(⋋%⋟5730∠⫱⋋%⋟4681)=NaN","reverse_text":"NaN=(⋋%⋟4511∼⋋%⋟10721)⩖⊿(⋋%⋟5730∠⫱⋋%⋟4681)","cot":[{"info":"⋋%⋟4511∼⋋%⋟10721=NaN","layer":1},{"info":"⋋%⋟5730∠⫱⋋%⋟4681=⋋%⋟1621","layer":1},{"info":"NaN⩖⊿⋋%⋟1621=NaN","layer":0}]}
+{"id":299,"expression_no_base_symbol":"$1733$-$7315$/($1969$⇯⋐)","expression":"⋋%⋟2335-⋋%⋟11027/(⋋%⋟2627⇯⋐)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":25,"operation_count":3,"complexity_ratio":8.333333333333334,"tree":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1733,"base":9},"right_expr":{"type":"numeric_atoms","value":7315,"base":9}},"right_expr":{"type":"unary","operator":"⇯⋐","unary_expr":{"type":"numeric_atoms","value":1969,"base":9}}},"used_operators":["XhwjNDsVaA","rysDP5nf3Z","LkLIoiE525"],"dependent_operators":["rysDP5nf3Z","P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q"],"result":"⋋%⋟-1","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1733","layer":2},{"info":"number node, value=7315","layer":2},{"info":"compute binary expreesion, left_input=1733, right_input=7315, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-5582","layer":1},{"info":"number node, value=1969","layer":2},{"info":"compute unary expreesion, input=1969, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=6785","layer":1},{"info":"compute binary expreesion, left_input=-5582, right_input=6785, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-1","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟2335-⋋%⋟11027/(⋋%⋟2627⇯⋐)=⋋%⋟-1","reverse_text":"⋋%⋟-1=⋋%⋟2335-⋋%⋟11027/(⋋%⋟2627⇯⋐)","cot":[{"info":"⋋%⋟2335-⋋%⋟11027=⋋%⋟-7582","layer":1},{"info":"⋋%⋟2627⇯⋐=⋋%⋟10268","layer":1},{"info":"⋋%⋟-7582/⋋%⋟10268=⋋%⋟-1","layer":0}]}
+{"id":300,"expression_no_base_symbol":"($2860$⊘)⇌⫙⪟($1835$⨸⪁$1362$)","expression":"(⋋%⋟3827⊘)⇌⫙⪟(⋋%⋟2458⨸⪁⋋%⋟1773)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":35,"operation_count":3,"complexity_ratio":11.666666666666666,"tree":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":2860,"base":9}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1835,"base":9},"right_expr":{"type":"numeric_atoms","value":1362,"base":9}}},"used_operators":["AFVx7xoS7T","gu96TGCTMs","g55IO6H4Gj"],"dependent_operators":["DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe"],"result":"⋋%⋟135","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=2860","layer":2},{"info":"compute unary expreesion, input=2860, 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":1},{"info":"number node, value=1835","layer":2},{"info":"number node, value=1362","layer":2},{"info":"compute binary expreesion, left_input=1835, right_input=1362, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=6394","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=6394, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=113","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟3827⊘)⇌⫙⪟(⋋%⋟2458⨸⪁⋋%⋟1773)=⋋%⋟135","reverse_text":"⋋%⋟135=(⋋%⋟3827⊘)⇌⫙⪟(⋋%⋟2458⨸⪁⋋%⋟1773)","cot":[{"info":"⋋%⋟3827⊘=⋋%⋟0","layer":1},{"info":"⋋%⋟2458⨸⪁⋋%⋟1773=⋋%⋟8684","layer":1},{"info":"⋋%⋟0⇌⫙⪟⋋%⋟8684=⋋%⋟135","layer":0}]}
+{"id":301,"expression_no_base_symbol":"($2225$⨴∎)⪛⫼$6934$⪮%⊝$5478$","expression":"(⋋%⋟3042⨴∎)⪛⫼⋋%⋟10454⪮%⊝⋋%⋟7456","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2329,"operation_count":3,"complexity_ratio":776.3333333333334,"tree":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"unary","operator":"⨴∎","unary_expr":{"type":"numeric_atoms","value":2225,"base":9}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":6934,"base":9},"right_expr":{"type":"numeric_atoms","value":5478,"base":9}}},"used_operators":["hyuBjUqXlG","CpSg5vQTgA","IWmyXbctLI"],"dependent_operators":["HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","Q3PJZHRvZv","s1XTVnmDOJ","VEQNXA0ZBg","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"⋋%⋟1285","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=2225","layer":2},{"info":"compute unary expreesion, input=2225, op_id = CpSg5vQTgA, unary_op_definition = 'a⨴∎ = { (⊥a) , if (a≓∲156)<=233 or (a⪗)>744 ; a , else }', output=nan","layer":1},{"info":"number node, value=6934","layer":2},{"info":"number node, value=5478","layer":2},{"info":"compute binary expreesion, left_input=6934, right_input=5478, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=14184","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=14184, 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":9,"result_base":9,"text":"(⋋%⋟3042⨴∎)⪛⫼⋋%⋟10454⪮%⊝⋋%⋟7456=⋋%⋟1285","reverse_text":"⋋%⋟1285=(⋋%⋟3042⨴∎)⪛⫼⋋%⋟10454⪮%⊝⋋%⋟7456","cot":[{"info":"⋋%⋟3042⨴∎=NaN","layer":1},{"info":"⋋%⋟10454⪮%⊝⋋%⋟7456=⋋%⋟21410","layer":1},{"info":"NaN⪛⫼⋋%⋟21410=⋋%⋟1285","layer":0}]}
+{"id":302,"expression_no_base_symbol":"($2632$⨀⨒)⪎⩰","expression":"(⋋%⋟3544⨀⨒)⪎⩰","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":50,"operation_count":2,"complexity_ratio":25.0,"tree":{"type":"unary","operator":"⪎⩰","unary_expr":{"type":"unary","operator":"⨀⨒","unary_expr":{"type":"numeric_atoms","value":2632,"base":9}}},"used_operators":["2ufhKmSs5H","j6NVkjMzuk"],"dependent_operators":["DpFCA1CohY","N41Kp7NANJ","sdazOOVcIp","EBcxylXtPf","f6k1SAg4EE","COABgblf1C","E4l6HwMY31","Ikt5ks8PT7","HmxsFra2vL","oacrs7FA3X"],"result":"⋋%⋟-37","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2632","layer":2},{"info":"compute unary expreesion, input=2632, op_id = j6NVkjMzuk, unary_op_definition = 'a⨀⨒ = { ((a⪘⫢a)⊔(a⪘⫢a)) , if a!=184 ; ((a⩧⪆a)∙∹∝a) , else }', output=33580","layer":1},{"info":"compute unary expreesion, input=33580, op_id = 2ufhKmSs5H, unary_op_definition = 'a⪎⩰ = { (17≋⫹) , if a>=326 and a!=597 ; (((a⪒a)⫌⩹⨱)⊭↱(⋗⩬⋾(756⪨≂a))) , else }', output=-34","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟3544⨀⨒)⪎⩰=⋋%⋟-37","reverse_text":"⋋%⋟-37=(⋋%⋟3544⨀⨒)⪎⩰","cot":[{"info":"⋋%⋟3544⨀⨒=⋋%⋟51051","layer":1},{"info":"⋋%⋟51051⪎⩰=⋋%⋟-37","layer":0}]}
+{"id":303,"expression_no_base_symbol":"$3617$⩣⫁∢$6254$⊨($3274$⩚⊴⇥$1108$)","expression":"⋋%⋟4858⩣⫁∢⋋%⋟8518⊨(⋋%⋟4437⩚⊴⇥⋋%⋟1461)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":29,"operation_count":3,"complexity_ratio":9.666666666666666,"tree":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":3617,"base":9},"right_expr":{"type":"numeric_atoms","value":6254,"base":9}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":3274,"base":9},"right_expr":{"type":"numeric_atoms","value":1108,"base":9}}},"used_operators":["vg4gO5BX6G","JDUIKTTSIa","NTOWxs364D"],"dependent_operators":["NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⋋%⋟-213","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3617","layer":2},{"info":"number node, value=6254","layer":2},{"info":"compute binary expreesion, left_input=3617, right_input=6254, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-7073","layer":1},{"info":"number node, value=3274","layer":2},{"info":"number node, value=1108","layer":2},{"info":"compute binary expreesion, left_input=3274, right_input=1108, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4503","layer":1},{"info":"compute binary expreesion, left_input=-7073, right_input=-4503, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=-174","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟4858⩣⫁∢⋋%⋟8518⊨(⋋%⋟4437⩚⊴⇥⋋%⋟1461)=⋋%⋟-213","reverse_text":"⋋%⋟-213=⋋%⋟4858⩣⫁∢⋋%⋟8518⊨(⋋%⋟4437⩚⊴⇥⋋%⋟1461)","cot":[{"info":"⋋%⋟4858⩣⫁∢⋋%⋟8518=⋋%⋟-10628","layer":1},{"info":"⋋%⋟4437⩚⊴⇥⋋%⋟1461=⋋%⋟-6153","layer":1},{"info":"⋋%⋟-10628⊨⋋%⋟-6153=⋋%⋟-213","layer":0}]}
+{"id":304,"expression_no_base_symbol":"⇨$4153$≝⊿$3115$","expression":"⇨⋋%⋟5624≝⊿⋋%⋟4241","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":15,"operation_count":2,"complexity_ratio":7.5,"tree":{"type":"unary","operator":"⇨","unary_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":4153,"base":9},"right_expr":{"type":"numeric_atoms","value":3115,"base":9}}},"used_operators":["G9tJMlZ94a","OKKcZfAt5B"],"dependent_operators":["k8jYdgA6NY","12rbrZMWeM"],"result":"⋋%⋟0","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=4153","layer":2},{"info":"number node, value=3115","layer":2},{"info":"compute binary expreesion, left_input=4153, right_input=3115, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-10916","layer":1},{"info":"compute unary expreesion, input=-10916, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":0}],"base":9,"result_base":9,"text":"⇨⋋%⋟5624≝⊿⋋%⋟4241=⋋%⋟0","reverse_text":"⋋%⋟0=⇨⋋%⋟5624≝⊿⋋%⋟4241","cot":[{"info":"⋋%⋟5624≝⊿⋋%⋟4241=⋋%⋟-15868","layer":1},{"info":"⇨⋋%⋟-15868=⋋%⋟0","layer":0}]}
+{"id":305,"expression_no_base_symbol":"($3243$∷$1794$)⫩⊇","expression":"(⋋%⋟4403∷⋋%⋟2413)⫩⊇","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4,"operation_count":2,"complexity_ratio":2.0,"tree":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":3243,"base":9},"right_expr":{"type":"numeric_atoms","value":1794,"base":9}}},"used_operators":["BjRHVeLaeN","D3AQDKkPcf"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","NTOWxs364D","7j4O788W3g"],"result":"⋋%⋟-2356","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3243","layer":2},{"info":"number node, value=1794","layer":2},{"info":"compute binary expreesion, left_input=3243, right_input=1794, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=1794","layer":1},{"info":"compute unary expreesion, input=1794, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-1752","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟4403∷⋋%⋟2413)⫩⊇=⋋%⋟-2356","reverse_text":"⋋%⋟-2356=(⋋%⋟4403∷⋋%⋟2413)⫩⊇","cot":[{"info":"⋋%⋟4403∷⋋%⋟2413=⋋%⋟2413","layer":1},{"info":"⋋%⋟2413⫩⊇=⋋%⋟-2356","layer":0}]}
+{"id":306,"expression_no_base_symbol":"(⇺⋃$3214$)∷","expression":"(⇺⋃⋋%⋟4361)∷","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":62,"operation_count":2,"complexity_ratio":31.0,"tree":{"type":"unary","operator":"∷","unary_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"numeric_atoms","value":3214,"base":9}}},"used_operators":["nFAOW8KTqp","E5v5B3UAjG"],"dependent_operators":["D4vGDi5EA2","t8gj7n24qd","2DDjHMKMc0","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=3214","layer":2},{"info":"compute unary expreesion, input=3214, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = nFAOW8KTqp, unary_op_definition = 'a∷ = { ((-(a⋝⋈⪟a))≦≮≮) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(⇺⋃⋋%⋟4361)∷=NaN","reverse_text":"NaN=(⇺⋃⋋%⋟4361)∷","cot":[{"info":"⇺⋃⋋%⋟4361=NaN","layer":1},{"info":"NaN∷=NaN","layer":0}]}
+{"id":307,"expression_no_base_symbol":"($1278$⇍⊗$3805$)⫿","expression":"(⋋%⋟1670⇍⊗⋋%⋟5187)⫿","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":43,"operation_count":2,"complexity_ratio":21.5,"tree":{"type":"unary","operator":"⫿","unary_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":1278,"base":9},"right_expr":{"type":"numeric_atoms","value":3805,"base":9}}},"used_operators":["9tKT6PmtkH","5uvYHDjeKN"],"dependent_operators":["DpFCA1CohY","9ICcGScMcE","f6k1SAg4EE","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o"],"result":"⋋%⋟602","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1278","layer":2},{"info":"number node, value=3805","layer":2},{"info":"compute binary expreesion, left_input=1278, right_input=3805, 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 = 9tKT6PmtkH, unary_op_definition = 'a⫿ = { (≦∁a) , if (⋗⩬⋾a)<1 ; (a⪒a) , else }', output=488","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟1670⇍⊗⋋%⋟5187)⫿=⋋%⋟602","reverse_text":"⋋%⋟602=(⋋%⋟1670⇍⊗⋋%⋟5187)⫿","cot":[{"info":"⋋%⋟1670⇍⊗⋋%⋟5187=⋋%⋟-301","layer":1},{"info":"⋋%⋟-301⫿=⋋%⋟602","layer":0}]}
+{"id":308,"expression_no_base_symbol":"⇙⪊($1526$⊲⩕⊾$3664$)","expression":"⇙⪊(⋋%⋟2075⊲⩕⊾⋋%⋟5021)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":26,"operation_count":2,"complexity_ratio":13.0,"tree":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":1526,"base":9},"right_expr":{"type":"numeric_atoms","value":3664,"base":9}}},"used_operators":["pB6Fcnrjim","DmTXOeWf9t"],"dependent_operators":["DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C"],"result":"⋋%⋟0","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1526","layer":2},{"info":"number node, value=3664","layer":2},{"info":"compute binary expreesion, left_input=1526, right_input=3664, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-57686","layer":1},{"info":"compute unary expreesion, input=-57686, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":0}],"base":9,"result_base":9,"text":"⇙⪊(⋋%⋟2075⊲⩕⊾⋋%⋟5021)=⋋%⋟0","reverse_text":"⋋%⋟0=⇙⪊(⋋%⋟2075⊲⩕⊾⋋%⋟5021)","cot":[{"info":"⋋%⋟2075⊲⩕⊾⋋%⋟5021=⋋%⋟-87115","layer":1},{"info":"⇙⪊⋋%⋟-87115=⋋%⋟0","layer":0}]}
+{"id":309,"expression_no_base_symbol":"⪝⪂⫅($3350$⊾⪯⋞$2248$)","expression":"⪝⪂⫅(⋋%⋟4532⊾⪯⋞⋋%⋟3067)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":207,"operation_count":2,"complexity_ratio":103.5,"tree":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":3350,"base":9},"right_expr":{"type":"numeric_atoms","value":2248,"base":9}}},"used_operators":["XTarYq4gQB","HK0tfVPux8"],"dependent_operators":["9HNa5Wba9A","8w2t5hMYqp","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq"],"result":"⋋%⋟-1111626","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3350","layer":2},{"info":"number node, value=2248","layer":2},{"info":"compute binary expreesion, left_input=3350, right_input=2248, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=4070","layer":1},{"info":"compute unary expreesion, input=4070, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-598290","layer":0}],"base":9,"result_base":9,"text":"⪝⪂⫅(⋋%⋟4532⊾⪯⋞⋋%⋟3067)=⋋%⋟-1111626","reverse_text":"⋋%⋟-1111626=⪝⪂⫅(⋋%⋟4532⊾⪯⋞⋋%⋟3067)","cot":[{"info":"⋋%⋟4532⊾⪯⋞⋋%⋟3067=⋋%⋟5522","layer":1},{"info":"⪝⪂⫅⋋%⋟5522=⋋%⋟-1111626","layer":0}]}
+{"id":310,"expression_no_base_symbol":"($4200$⫔⩽⩺$4948$)⋹","expression":"(⋋%⋟5676⫔⩽⩺⋋%⋟6707)⋹","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":44,"operation_count":2,"complexity_ratio":22.0,"tree":{"type":"unary","operator":"⋹","unary_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":4200,"base":9},"right_expr":{"type":"numeric_atoms","value":4948,"base":9}}},"used_operators":["opAxDRczMr","i9eR4S00cU"],"dependent_operators":["13rbtpv6ld","mp7IySMOzn","z63VuFQld9","aN9a90urxU","27wFxooxGf","SVb2v531z1","eewbuw0ToL","Tw270M8GLb","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=4200","layer":2},{"info":"number node, value=4948","layer":2},{"info":"compute binary expreesion, left_input=4200, right_input=4948, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = opAxDRczMr, unary_op_definition = 'a⋹ = { ((⨴⫝a)⇷(a↤⩊a)) , if (a≃⋄)<20 or (⊢≑≆a)<=20 ; ((a⨰a)∧) , else }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟5676⫔⩽⩺⋋%⋟6707)⋹=NaN","reverse_text":"NaN=(⋋%⋟5676⫔⩽⩺⋋%⋟6707)⋹","cot":[{"info":"⋋%⋟5676⫔⩽⩺⋋%⋟6707=NaN","layer":1},{"info":"NaN⋹=NaN","layer":0}]}
+{"id":311,"expression_no_base_symbol":"($1557$⊠≄⫣)≚⊃≕($2794$≠≀$1063$)","expression":"(⋋%⋟2120⊠≄⫣)≚⊃≕(⋋%⋟3744≠≀⋋%⋟1411)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":40,"operation_count":3,"complexity_ratio":13.333333333333334,"tree":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":1557,"base":9}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":2794,"base":9},"right_expr":{"type":"numeric_atoms","value":1063,"base":9}}},"used_operators":["Bmrmz2XGnR","DIvbN7qnHd","IwW236VD4Y"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC"],"result":"⋋%⋟-15642","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1557","layer":2},{"info":"compute unary expreesion, input=1557, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":1},{"info":"number node, value=2794","layer":2},{"info":"number node, value=1063","layer":2},{"info":"compute binary expreesion, left_input=2794, right_input=1063, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-5282","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-5282, 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=-10730","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟2120⊠≄⫣)≚⊃≕(⋋%⋟3744≠≀⋋%⋟1411)=⋋%⋟-15642","reverse_text":"⋋%⋟-15642=(⋋%⋟2120⊠≄⫣)≚⊃≕(⋋%⋟3744≠≀⋋%⋟1411)","cot":[{"info":"⋋%⋟2120⊠≄⫣=⋋%⋟0","layer":1},{"info":"⋋%⋟3744≠≀⋋%⋟1411=⋋%⋟-7218","layer":1},{"info":"⋋%⋟0≚⊃≕⋋%⋟-7218=⋋%⋟-15642","layer":0}]}
+{"id":312,"expression_no_base_symbol":"$2736$≴⪞⇿$3936$⇣⩺⋵$5285$⨿$1672$","expression":"⋋%⋟3670≴⪞⇿⋋%⋟5353⇣⩺⋵⋋%⋟7222⨿⋋%⋟2257","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2777,"operation_count":3,"complexity_ratio":925.6666666666666,"tree":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":2736,"base":9},"right_expr":{"type":"numeric_atoms","value":3936,"base":9}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":5285,"base":9},"right_expr":{"type":"numeric_atoms","value":1672,"base":9}}},"used_operators":["F4yD0voBRQ","lvlrscuwVU","abYXlopdE0"],"dependent_operators":["NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi"],"result":"⋋%⋟-318","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2736","layer":2},{"info":"number node, value=3936","layer":2},{"info":"compute binary expreesion, left_input=2736, right_input=3936, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=12132972","layer":1},{"info":"number node, value=5285","layer":2},{"info":"number node, value=1672","layer":2},{"info":"compute binary expreesion, left_input=5285, right_input=1672, 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=12132972, right_input=-319, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺��⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟3670≴⪞⇿⋋%⋟5353⇣⩺⋵⋋%⋟7222⨿⋋%⋟2257=⋋%⋟-318","reverse_text":"⋋%⋟-318=⋋%⋟3670≴⪞⇿⋋%⋟5353⇣⩺⋵⋋%⋟7222⨿⋋%⋟2257","cot":[{"info":"⋋%⋟3670≴⪞⇿⋋%⋟5353=⋋%⋟24742270","layer":1},{"info":"⋋%⋟7222⨿⋋%⋟2257=⋋%⋟-384","layer":1},{"info":"⋋%⋟24742270⇣⩺⋵⋋%⋟-384=⋋%⋟-318","layer":0}]}
+{"id":313,"expression_no_base_symbol":"($3032$↙$2226$)⨘","expression":"(⋋%⋟4138↙⋋%⋟3043)⨘","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":8920,"operation_count":2,"complexity_ratio":4460.0,"tree":{"type":"unary","operator":"⨘","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3032,"base":9},"right_expr":{"type":"numeric_atoms","value":2226,"base":9}}},"used_operators":["ljcfZBUpm8","yyfyN0ffXY"],"dependent_operators":["40aOVDgCDB","JL8yIekQnl","ocnLzx9CaJ","tmPS8pqC7x","DpFCA1CohY"],"result":"⋋%⋟70048","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3032","layer":2},{"info":"number node, value=2226","layer":2},{"info":"compute binary expreesion, left_input=3032, right_input=2226, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-6678","layer":1},{"info":"compute unary expreesion, input=-6678, op_id = ljcfZBUpm8, unary_op_definition = 'a⨘ = { ((4⊢)⩼⇪↪(a⋫)) }', output=45971","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟4138↙⋋%⋟3043)⨘=⋋%⋟70048","reverse_text":"⋋%⋟70048=(⋋%⋟4138↙⋋%⋟3043)⨘","cot":[{"info":"⋋%⋟4138↙⋋%⋟3043=⋋%⋟-10140","layer":1},{"info":"⋋%⋟-10140⨘=⋋%⋟70048","layer":0}]}
+{"id":314,"expression_no_base_symbol":"$4434$⪍↜⋙$5581$⇌⫙⪟(⩷$2694$)","expression":"⋋%⋟6066⪍↜⋙⋋%⋟7581⇌⫙⪟(⩷⋋%⋟3623)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":57,"operation_count":3,"complexity_ratio":19.0,"tree":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":4434,"base":9},"right_expr":{"type":"numeric_atoms","value":5581,"base":9}},"right_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"numeric_atoms","value":2694,"base":9}}},"used_operators":["AFVx7xoS7T","L05ObWFQCd","1h0rLqGiFr"],"dependent_operators":["DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","14qkJME0vr","g55IO6H4Gj","7j4O788W3g"],"result":"⋋%⋟380820","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=4434","layer":2},{"info":"number node, value=5581","layer":2},{"info":"compute binary expreesion, left_input=4434, right_input=5581, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-34115","layer":1},{"info":"number node, value=2694","layer":2},{"info":"compute unary expreesion, input=2694, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-32407","layer":1},{"info":"compute binary expreesion, left_input=-34115, right_input=-32407, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=230301","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟6066⪍↜⋙⋋%⋟7581⇌⫙⪟(⩷⋋%⋟3623)=⋋%⋟380820","reverse_text":"⋋%⋟380820=⋋%⋟6066⪍↜⋙⋋%⋟7581⇌⫙⪟(⩷⋋%⋟3623)","cot":[{"info":"⋋%⋟6066⪍↜⋙⋋%⋟7581=⋋%⋟-51715","layer":1},{"info":"⩷⋋%⋟3623=⋋%⋟-48407","layer":1},{"info":"⋋%⋟-51715⇌⫙⪟⋋%⋟-48407=⋋%⋟380820","layer":0}]}
+{"id":315,"expression_no_base_symbol":"⊥(⩦⊞$3845$)","expression":"⊥(⩦⊞⋋%⋟5242)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5,"operation_count":2,"complexity_ratio":2.5,"tree":{"type":"unary","operator":"⊥","unary_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"numeric_atoms","value":3845,"base":9}}},"used_operators":["Q3PJZHRvZv","u7fv1HBiaC"],"dependent_operators":["fu6greOZ01","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3845","layer":2},{"info":"compute unary expreesion, input=3845, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-3572","layer":1},{"info":"compute unary expreesion, input=-3572, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"⊥(⩦⊞⋋%⋟5242)=NaN","reverse_text":"NaN=⊥(⩦⊞⋋%⋟5242)","cot":[{"info":"⩦⊞⋋%⋟5242=⋋%⋟-4808","layer":1},{"info":"⊥⋋%⋟-4808=NaN","layer":0}]}
+{"id":316,"expression_no_base_symbol":"$1142$⪛⫼$1973$⊉≛↸(⩪∧⨌$1358$)","expression":"⋋%⋟1508⪛⫼⋋%⋟2632⊉≛↸(⩪∧⨌⋋%⋟1768)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":112,"operation_count":3,"complexity_ratio":37.333333333333336,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":1142,"base":9},"right_expr":{"type":"numeric_atoms","value":1973,"base":9}},"right_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"numeric_atoms","value":1358,"base":9}}},"used_operators":["DZ8iAZOCBD","hyuBjUqXlG","6iOiAJX1F8"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj"],"result":"⋋%⋟2581","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1142","layer":2},{"info":"number node, value=1973","layer":2},{"info":"compute binary expreesion, left_input=1142, right_input=1973, 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":"number node, value=1358","layer":2},{"info":"compute unary expreesion, input=1358, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=13580","layer":1},{"info":"compute binary expreesion, left_input=968, right_input=13580, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=1936","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟1508⪛⫼⋋%⋟2632⊉≛↸(⩪∧⨌⋋%⋟1768)=⋋%⋟2581","reverse_text":"⋋%⋟2581=⋋%⋟1508⪛⫼⋋%⋟2632⊉≛↸(⩪∧⨌⋋%⋟1768)","cot":[{"info":"⋋%⋟1508⪛⫼⋋%⋟2632=⋋%⋟1285","layer":1},{"info":"⩪∧⨌⋋%⋟1768=⋋%⋟20558","layer":1},{"info":"⋋%⋟1285⊉≛↸⋋%⋟20558=⋋%⋟2581","layer":0}]}
+{"id":317,"expression_no_base_symbol":"(⇙⪊$2289$)∝(↣≠⋷$2060$)","expression":"(⇙⪊⋋%⋟3123)∝(↣≠⋷⋋%⋟2738)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":18,"operation_count":3,"complexity_ratio":6.0,"tree":{"type":"binary","operator":"∝","left_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"numeric_atoms","value":2289,"base":9}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":2060,"base":9}}},"used_operators":["cTDWOvIxvz","pB6Fcnrjim","Asc51vEJeQ"],"dependent_operators":["7j4O788W3g","W4YGzv6Whe","COABgblf1C","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","XhwjNDsVaA","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=2289","layer":2},{"info":"compute unary expreesion, input=2289, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":1},{"info":"number node, value=2060","layer":2},{"info":"compute unary expreesion, input=2060, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(⇙⪊⋋%⋟3123)∝(↣≠⋷⋋%⋟2738)=NaN","reverse_text":"NaN=(⇙⪊⋋%⋟3123)∝(↣≠⋷⋋%⋟2738)","cot":[{"info":"⇙⪊⋋%⋟3123=⋋%⋟0","layer":1},{"info":"↣≠⋷⋋%⋟2738=NaN","layer":1},{"info":"⋋%⋟0∝NaN=NaN","layer":0}]}
+{"id":318,"expression_no_base_symbol":"($7915$⨉)⨼⩣($7718$⫳≱↱$3270$)","expression":"(⋋%⋟11764⨉)⨼⩣(⋋%⋟11525⫳≱↱⋋%⋟4433)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8663,"operation_count":3,"complexity_ratio":2887.6666666666665,"tree":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"unary","operator":"⨉","unary_expr":{"type":"numeric_atoms","value":7915,"base":9}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":7718,"base":9},"right_expr":{"type":"numeric_atoms","value":3270,"base":9}}},"used_operators":["JxwMv5le6e","aMUSaJuDRU","ZvLB05nZmT"],"dependent_operators":["uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","tmPS8pqC7x","g55IO6H4Gj","qWUSsah53b","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=7915","layer":2},{"info":"compute unary expreesion, input=7915, op_id = aMUSaJuDRU, unary_op_definition = 'a⨉ = { ((⫡⇟⇯148)⨸⪁(a⨪↰⇹a)) }', output=18158","layer":1},{"info":"number node, value=7718","layer":2},{"info":"number node, value=3270","layer":2},{"info":"compute binary expreesion, left_input=7718, right_input=3270, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":1},{"info":"compute binary expreesion, left_input=18158, right_input=-204, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟11764⨉)⨼⩣(⋋%⋟11525⫳≱↱⋋%⋟4433)=NaN","reverse_text":"NaN=(⋋%⋟11764⨉)⨼⩣(⋋%⋟11525⫳≱↱⋋%⋟4433)","cot":[{"info":"⋋%⋟11764⨉=⋋%⋟26815","layer":1},{"info":"⋋%⋟11525⫳≱↱⋋%⋟4433=⋋%⋟-246","layer":1},{"info":"⋋%⋟26815⨼⩣⋋%⋟-246=NaN","layer":0}]}
+{"id":319,"expression_no_base_symbol":"(⊖∈$4146$)+$4059$⫌⩉⩟$1076$","expression":"(⊖∈⋋%⋟5616)+⋋%⋟5510⫌⩉⩟⋋%⋟1425","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5153,"operation_count":3,"complexity_ratio":1717.6666666666667,"tree":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"numeric_atoms","value":4146,"base":9}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":4059,"base":9},"right_expr":{"type":"numeric_atoms","value":1076,"base":9}}},"used_operators":["W4YGzv6Whe","YFxL8Sc2Zy","XIIwhv8d0m"],"dependent_operators":["zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM"],"result":"⋋%⋟127002","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=4146","layer":2},{"info":"compute unary expreesion, input=4146, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=77326","layer":1},{"info":"number node, value=4059","layer":2},{"info":"number node, value=1076","layer":2},{"info":"compute binary expreesion, left_input=4059, right_input=1076, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":1},{"info":"compute binary expreesion, left_input=77326, right_input=-50, op_id = W4YGzv6Whe binary_op_definition= 'None', output=77276","layer":0}],"base":9,"result_base":9,"text":"(⊖∈⋋%⋟5616)+⋋%⋟5510⫌⩉⩟⋋%⋟1425=⋋%⋟127002","reverse_text":"⋋%⋟127002=(⊖∈⋋%⋟5616)+⋋%⋟5510⫌⩉⩟⋋%⋟1425","cot":[{"info":"⊖∈⋋%⋟5616=⋋%⋟127057","layer":1},{"info":"⋋%⋟5510⫌⩉⩟⋋%⋟1425=⋋%⋟-55","layer":1},{"info":"⋋%⋟127057+⋋%⋟-55=⋋%⋟127002","layer":0}]}
+{"id":320,"expression_no_base_symbol":"⨂⪏⇭($7229$∙∹∝$2280$)","expression":"⨂⪏⇭(⋋%⋟10822∙∹∝⋋%⋟3113)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":23,"operation_count":2,"complexity_ratio":11.5,"tree":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":7229,"base":9},"right_expr":{"type":"numeric_atoms","value":2280,"base":9}}},"used_operators":["AYdpE9sXAk","HmxsFra2vL"],"dependent_operators":["eewbuw0ToL","NTOWxs364D","EBcxylXtPf","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI"],"result":"⋋%⋟-1307","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=7229","layer":2},{"info":"number node, value=2280","layer":2},{"info":"compute binary expreesion, left_input=7229, right_input=2280, 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 = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=-979","layer":0}],"base":9,"result_base":9,"text":"⨂⪏⇭(⋋%⋟10822∙∹∝⋋%⋟3113)=⋋%⋟-1307","reverse_text":"⋋%⋟-1307=⨂⪏⇭(⋋%⋟10822∙∹∝⋋%⋟3113)","cot":[{"info":"⋋%⋟10822∙∹∝⋋%⋟3113=⋋%⋟0","layer":1},{"info":"⨂⪏⇭⋋%⋟0=⋋%⋟-1307","layer":0}]}
+{"id":321,"expression_no_base_symbol":"(⨮↦↱$6263$)⫚↹⊑$1348$∇⊂⋱$4747$","expression":"(⨮↦↱⋋%⋟8528)⫚↹⊑⋋%⋟1757∇⊂⋱⋋%⋟6454","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5844,"operation_count":3,"complexity_ratio":1948.0,"tree":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"numeric_atoms","value":6263,"base":9}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":1348,"base":9},"right_expr":{"type":"numeric_atoms","value":4747,"base":9}}},"used_operators":["dfKe02y8D2","sYcpBQ0cFf","nhYeJWJD5X"],"dependent_operators":["2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx"],"result":"⋋%⋟-546","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=6263","layer":2},{"info":"compute unary expreesion, input=6263, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-99927951","layer":1},{"info":"number node, value=1348","layer":2},{"info":"number node, value=4747","layer":2},{"info":"compute binary expreesion, left_input=1348, right_input=4747, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=2150","layer":1},{"info":"compute binary expreesion, left_input=-99927951, right_input=2150, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":0}],"base":9,"result_base":9,"text":"(⨮↦↱⋋%⋟8528)⫚↹⊑⋋%⋟1757∇⊂⋱⋋%⋟6454=⋋%⋟-546","reverse_text":"⋋%⋟-546=(⨮↦↱⋋%⋟8528)⫚↹⊑⋋%⋟1757∇⊂⋱⋋%⋟6454","cot":[{"info":"⨮↦↱⋋%⋟8528=⋋%⋟-228025336","layer":1},{"info":"⋋%⋟1757∇⊂⋱⋋%⋟6454=⋋%⋟2848","layer":1},{"info":"⋋%⋟-228025336⫚↹⊑⋋%⋟2848=⋋%⋟-546","layer":0}]}
+{"id":322,"expression_no_base_symbol":"$5769$⪟⇏$3048$∼($6497$⋣⋖$1556$)","expression":"⋋%⋟7820⪟⇏⋋%⋟4156∼(⋋%⋟8818⋣⋖⋋%⋟2118)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":31,"operation_count":3,"complexity_ratio":10.333333333333334,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":5769,"base":9},"right_expr":{"type":"numeric_atoms","value":3048,"base":9}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":6497,"base":9},"right_expr":{"type":"numeric_atoms","value":1556,"base":9}}},"used_operators":["DyGG3AbaNP","GODebY97qR","J0M6qkBnIM"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=5769","layer":2},{"info":"number node, value=3048","layer":2},{"info":"compute binary expreesion, left_input=5769, right_input=3048, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":1},{"info":"number node, value=6497","layer":2},{"info":"number node, value=1556","layer":2},{"info":"compute binary expreesion, left_input=6497, right_input=1556, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=6497","layer":1},{"info":"compute binary expreesion, left_input=-1, right_input=6497, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟7820⪟⇏⋋%⋟4156∼(⋋%⋟8818⋣⋖⋋%⋟2118)=NaN","reverse_text":"NaN=⋋%⋟7820⪟⇏⋋%⋟4156∼(⋋%⋟8818⋣⋖⋋%⋟2118)","cot":[{"info":"⋋%⋟7820⪟⇏⋋%⋟4156=⋋%⋟-1","layer":1},{"info":"⋋%⋟8818⋣⋖⋋%⋟2118=⋋%⋟8818","layer":1},{"info":"⋋%⋟-1∼⋋%⋟8818=NaN","layer":0}]}
+{"id":323,"expression_no_base_symbol":"$2674$⨸$1619$⊱⇼⊻$1414$↳≱$6345$","expression":"⋋%⋟3601⨸⋋%⋟2188⊱⇼⊻⋋%⋟1841↳≱⋋%⋟8630","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2879,"operation_count":3,"complexity_ratio":959.6666666666666,"tree":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":2674,"base":9},"right_expr":{"type":"numeric_atoms","value":1619,"base":9}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":1414,"base":9},"right_expr":{"type":"numeric_atoms","value":6345,"base":9}}},"used_operators":["FyVja0WsTP","KmoU8R5UQR","JwTKLfZU96"],"dependent_operators":["W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96"],"result":"⋋%⋟36162","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2674","layer":2},{"info":"number node, value=1619","layer":2},{"info":"compute binary expreesion, left_input=2674, right_input=1619, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=5348","layer":1},{"info":"number node, value=1414","layer":2},{"info":"number node, value=6345","layer":2},{"info":"compute binary expreesion, left_input=1414, right_input=6345, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=5348, right_input=0, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=24194","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟3601⨸⋋%⋟2188⊱⇼⊻⋋%⋟1841↳≱⋋%⋟8630=⋋%⋟36162","reverse_text":"⋋%⋟36162=⋋%⋟3601⨸⋋%⋟2188⊱⇼⊻⋋%⋟1841↳≱⋋%⋟8630","cot":[{"info":"⋋%⋟3601⨸⋋%⋟2188=⋋%⋟7302","layer":1},{"info":"⋋%⋟1841↳≱⋋%⋟8630=⋋%⋟0","layer":1},{"info":"⋋%⋟7302⊱⇼⊻⋋%⋟0=⋋%⋟36162","layer":0}]}
+{"id":324,"expression_no_base_symbol":"(⨵≀≌$2326$)↱$6479$↤⩊$6486$","expression":"(⨵≀≌⋋%⋟3164)↱⋋%⋟8788↤⩊⋋%⋟8806","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":224,"operation_count":3,"complexity_ratio":74.66666666666667,"tree":{"type":"binary","operator":"↱","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":2326,"base":9}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":6479,"base":9},"right_expr":{"type":"numeric_atoms","value":6486,"base":9}}},"used_operators":["SR5kFfdi6N","srAu1WTS94","13rbtpv6ld"],"dependent_operators":["k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2326","layer":2},{"info":"compute unary expreesion, input=2326, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-6978","layer":1},{"info":"number node, value=6479","layer":2},{"info":"number node, value=6486","layer":2},{"info":"compute binary expreesion, left_input=6479, right_input=6486, 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=-6978, 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":9,"result_base":9,"text":"(⨵≀≌⋋%⋟3164)↱⋋%⋟8788↤⩊⋋%⋟8806=NaN","reverse_text":"NaN=(⨵≀≌⋋%⋟3164)↱⋋%⋟8788↤⩊⋋%⋟8806","cot":[{"info":"⨵≀≌⋋%⋟3164=⋋%⋟-10513","layer":1},{"info":"⋋%⋟8788↤⩊⋋%⋟8806=NaN","layer":1},{"info":"⋋%⋟-10513↱NaN=NaN","layer":0}]}
+{"id":325,"expression_no_base_symbol":"(⨮↦↱$3261$)⩨(⪭⩑⪱$1575$)","expression":"(⨮↦↱⋋%⋟4423)⩨(⪭⩑⪱⋋%⋟2140)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":231432,"operation_count":3,"complexity_ratio":77144.0,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"numeric_atoms","value":3261,"base":9}},"right_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"numeric_atoms","value":1575,"base":9}}},"used_operators":["2DlMacCsIx","sYcpBQ0cFf","SIgE0bArFf"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9"],"result":"⋋%⋟3","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3261","layer":2},{"info":"compute unary expreesion, input=3261, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-22998699","layer":1},{"info":"number node, value=1575","layer":2},{"info":"compute unary expreesion, input=1575, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":1},{"info":"compute binary expreesion, left_input=-22998699, right_input=8320752, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=3","layer":0}],"base":9,"result_base":9,"text":"(⨮↦↱⋋%⋟4423)⩨(⪭⩑⪱⋋%⋟2140)=⋋%⋟3","reverse_text":"⋋%⋟3=(⨮↦↱⋋%⋟4423)⩨(⪭⩑⪱⋋%⋟2140)","cot":[{"info":"⨮↦↱⋋%⋟4423=⋋%⋟-47243250","layer":1},{"info":"⪭⩑⪱⋋%⋟2140=⋋%⋟16581830","layer":1},{"info":"⋋%⋟-47243250⩨⋋%⋟16581830=⋋%⋟3","layer":0}]}
+{"id":326,"expression_no_base_symbol":"$2180$∀⇚≩$2538$⋻⩜⩜$1320$⪇≇⋚$3816$","expression":"⋋%⋟2882∀⇚≩⋋%⋟3430⋻⩜⩜⋋%⋟1726⪇≇⋚⋋%⋟5210","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":15277,"operation_count":3,"complexity_ratio":5092.333333333333,"tree":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2180,"base":9},"right_expr":{"type":"numeric_atoms","value":2538,"base":9}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":1320,"base":9},"right_expr":{"type":"numeric_atoms","value":3816,"base":9}}},"used_operators":["oDCm7WA9JY","LRNGc0VcxI","3sJ7IOPOlU"],"dependent_operators":["mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","X99M06cbEe","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=2180","layer":2},{"info":"number node, value=2538","layer":2},{"info":"compute binary expreesion, left_input=2180, right_input=2538, 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=1320","layer":2},{"info":"number node, value=3816","layer":2},{"info":"compute binary expreesion, left_input=1320, right_input=3816, 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 = 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":9,"result_base":9,"text":"⋋%⋟2882∀⇚≩⋋%⋟3430⋻⩜⩜⋋%⋟1726⪇≇⋚⋋%⋟5210=NaN","reverse_text":"NaN=⋋%⋟2882∀⇚≩⋋%⋟3430⋻⩜⩜⋋%⋟1726⪇≇⋚⋋%⋟5210","cot":[{"info":"⋋%⋟2882∀⇚≩⋋%⋟3430=NaN","layer":1},{"info":"⋋%⋟1726⪇≇⋚⋋%⋟5210=⋋%⋟0","layer":1},{"info":"NaN⋻⩜⩜⋋%⋟0=NaN","layer":0}]}
+{"id":327,"expression_no_base_symbol":"(⋂$3515$)⪍↜⋙($3559$≒∊$1497$)","expression":"(⋂⋋%⋟4735)⪍↜⋙(⋋%⋟4784≒∊⋋%⋟2043)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":42,"operation_count":3,"complexity_ratio":14.0,"tree":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"unary","operator":"⋂","unary_expr":{"type":"numeric_atoms","value":3515,"base":9}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":3559,"base":9},"right_expr":{"type":"numeric_atoms","value":1497,"base":9}}},"used_operators":["L05ObWFQCd","BUOGQAYlQx","5KTvxBwnZo"],"dependent_operators":["rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl"],"result":"⋋%⋟417711","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3515","layer":2},{"info":"compute unary expreesion, input=3515, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=-48614","layer":1},{"info":"number node, value=3559","layer":2},{"info":"number node, value=1497","layer":2},{"info":"compute binary expreesion, left_input=3559, right_input=1497, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-3075","layer":1},{"info":"compute binary expreesion, left_input=-48614, right_input=-3075, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=248437","layer":0}],"base":9,"result_base":9,"text":"(⋂⋋%⋟4735)⪍↜⋙(⋋%⋟4784≒∊⋋%⋟2043)=⋋%⋟417711","reverse_text":"⋋%⋟417711=(⋂⋋%⋟4735)⪍↜⋙(⋋%⋟4784≒∊⋋%⋟2043)","cot":[{"info":"⋂⋋%⋟4735=⋋%⋟-73615","layer":1},{"info":"⋋%⋟4784≒∊⋋%⋟2043=⋋%⋟-4186","layer":1},{"info":"⋋%⋟-73615⪍↜⋙⋋%⋟-4186=⋋%⋟417711","layer":0}]}
+{"id":328,"expression_no_base_symbol":"$4881$≁$1225$↼⊘⨖($4693$⫢⨠$1504$)","expression":"⋋%⋟6623≁⋋%⋟1611↼⊘⨖(⋋%⋟6384⫢⨠⋋%⋟2051)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":138,"operation_count":3,"complexity_ratio":46.0,"tree":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":4881,"base":9},"right_expr":{"type":"numeric_atoms","value":1225,"base":9}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":4693,"base":9},"right_expr":{"type":"numeric_atoms","value":1504,"base":9}}},"used_operators":["bPywburJMS","8N2wDY1A35","xlXykHWxX1"],"dependent_operators":["9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx"],"result":"⋋%⋟118","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=4881","layer":2},{"info":"number node, value=1225","layer":2},{"info":"compute binary expreesion, left_input=4881, right_input=1225, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=16199","layer":1},{"info":"number node, value=4693","layer":2},{"info":"number node, value=1504","layer":2},{"info":"compute binary expreesion, left_input=4693, right_input=1504, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":1},{"info":"compute binary expreesion, left_input=16199, right_input=160, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=98","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟6623≁⋋%⋟1611↼⊘⨖(⋋%⋟6384⫢⨠⋋%⋟2051)=⋋%⋟118","reverse_text":"⋋%⋟118=⋋%⋟6623≁⋋%⋟1611↼⊘⨖(⋋%⋟6384⫢⨠⋋%⋟2051)","cot":[{"info":"⋋%⋟6623≁⋋%⋟1611=⋋%⋟24188","layer":1},{"info":"⋋%⋟6384⫢⨠⋋%⋟2051=⋋%⋟187","layer":1},{"info":"⋋%⋟24188↼⊘⨖⋋%⋟187=⋋%⋟118","layer":0}]}
+{"id":329,"expression_no_base_symbol":"(⫇$2294$)⩍⋽⫝̸($1009$⊨$3149$)","expression":"(⫇⋋%⋟3128)⩍⋽⫝̸(⋋%⋟1341⊨⋋%⋟4278)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":31,"operation_count":3,"complexity_ratio":10.333333333333334,"tree":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"numeric_atoms","value":2294,"base":9}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":1009,"base":9},"right_expr":{"type":"numeric_atoms","value":3149,"base":9}}},"used_operators":["BiWNJpBvwn","YjI8oCXuph","vg4gO5BX6G"],"dependent_operators":["Ph9nP6C5qx","xUOZtlo3hN","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP"],"result":"⋋%⋟5578","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2294","layer":2},{"info":"compute unary expreesion, input=2294, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-3374","layer":1},{"info":"number node, value=1009","layer":2},{"info":"number node, value=3149","layer":2},{"info":"compute binary expreesion, left_input=1009, right_input=3149, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=5067","layer":1},{"info":"compute binary expreesion, left_input=-3374, right_input=5067, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=4121","layer":0}],"base":9,"result_base":9,"text":"(⫇⋋%⋟3128)⩍⋽⫝̸(⋋%⋟1341⊨⋋%⋟4278)=⋋%⋟5578","reverse_text":"⋋%⋟5578=(⫇⋋%⋟3128)⩍⋽⫝̸(⋋%⋟1341⊨⋋%⋟4278)","cot":[{"info":"⫇⋋%⋟3128=⋋%⋟-4558","layer":1},{"info":"⋋%⋟1341⊨⋋%⋟4278=⋋%⋟6850","layer":1},{"info":"⋋%⋟-4558⩍⋽⫝̸⋋%⋟6850=⋋%⋟5578","layer":0}]}
+{"id":330,"expression_no_base_symbol":"$4990$⪉⨛$1471$⊭↱$3723$⊴$1097$","expression":"⋋%⋟6754⪉⨛⋋%⋟2014⊭↱⋋%⋟5086⊴⋋%⋟1448","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2876,"operation_count":3,"complexity_ratio":958.6666666666666,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":4990,"base":9},"right_expr":{"type":"numeric_atoms","value":1471,"base":9}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3723,"base":9},"right_expr":{"type":"numeric_atoms","value":1097,"base":9}}},"used_operators":["COABgblf1C","EWw2JM7wp4","Nsiff2A1zJ"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=4990","layer":2},{"info":"number node, value=1471","layer":2},{"info":"compute binary expreesion, left_input=4990, right_input=1471, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=13714","layer":1},{"info":"number node, value=3723","layer":2},{"info":"number node, value=1097","layer":2},{"info":"compute binary expreesion, left_input=3723, right_input=1097, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=13714, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟6754⪉⨛⋋%⋟2014⊭↱⋋%⋟5086⊴⋋%⋟1448=NaN","reverse_text":"NaN=⋋%⋟6754⪉⨛⋋%⋟2014⊭↱⋋%⋟5086⊴⋋%⋟1448","cot":[{"info":"⋋%⋟6754⪉⨛⋋%⋟2014=⋋%⋟20727","layer":1},{"info":"⋋%⋟5086⊴⋋%⋟1448=NaN","layer":1},{"info":"⋋%⋟20727⊭↱NaN=NaN","layer":0}]}
+{"id":331,"expression_no_base_symbol":"($1800$⪒$5262$)⨶","expression":"(⋋%⋟2420⪒⋋%⋟7186)⨶","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":10,"operation_count":2,"complexity_ratio":5.0,"tree":{"type":"unary","operator":"⨶","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1800,"base":9},"right_expr":{"type":"numeric_atoms","value":5262,"base":9}}},"used_operators":["rFxw8gIMmB","f6k1SAg4EE"],"dependent_operators":["f6k1SAg4EE","Qy55tPpLXF","W4YGzv6Whe","t8gj7n24qd"],"result":"⋋%⋟-158","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1800","layer":2},{"info":"number node, value=5262","layer":2},{"info":"compute binary expreesion, left_input=1800, right_input=5262, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7062","layer":1},{"info":"compute unary expreesion, input=-7062, op_id = rFxw8gIMmB, unary_op_definition = 'a⨶ = { ((a⋥≓≎303)⪒(a⋥≓≎537)) }', output=-134","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟2420⪒⋋%⋟7186)⨶=⋋%⋟-158","reverse_text":"⋋%⋟-158=(⋋%⋟2420⪒⋋%⋟7186)⨶","cot":[{"info":"⋋%⋟2420⪒⋋%⋟7186=⋋%⋟-10616","layer":1},{"info":"⋋%⋟-10616⨶=⋋%⋟-158","layer":0}]}
+{"id":332,"expression_no_base_symbol":"⫟($1897$⫠↝⫳)","expression":"⫟(⋋%⋟2537⫠↝⫳)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":56,"operation_count":2,"complexity_ratio":28.0,"tree":{"type":"unary","operator":"⫟","unary_expr":{"type":"unary","operator":"⫠↝⫳","unary_expr":{"type":"numeric_atoms","value":1897,"base":9}}},"used_operators":["z4E1FaHLuy","8n5YIzOsVS"],"dependent_operators":["9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","9FxExcQeMw","g55IO6H4Gj","2td37pGCOC","QMFrweE19q"],"result":"⋋%⋟-308115","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1897","layer":2},{"info":"compute unary expreesion, input=1897, op_id = 8n5YIzOsVS, unary_op_definition = 'a⫠↝⫳ = { (((a⨸⪁a)⩷∴(⩦⩻⨪a))⫡⨏a) }', output=61327","layer":1},{"info":"compute unary expreesion, input=61327, 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=-183074","layer":0}],"base":9,"result_base":9,"text":"⫟(⋋%⋟2537⫠↝⫳)=⋋%⋟-308115","reverse_text":"⋋%⋟-308115=⫟(⋋%⋟2537⫠↝⫳)","cot":[{"info":"⋋%⋟2537⫠↝⫳=⋋%⋟103111","layer":1},{"info":"⫟⋋%⋟103111=⋋%⋟-308115","layer":0}]}
+{"id":333,"expression_no_base_symbol":"$2252$≦↸$1718$⨰$5831$≌$5995$","expression":"⋋%⋟3072≦↸⋋%⋟2318⨰⋋%⋟7888≌⋋%⋟8201","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6153,"operation_count":3,"complexity_ratio":2051.0,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":2252,"base":9},"right_expr":{"type":"numeric_atoms","value":1718,"base":9}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":5831,"base":9},"right_expr":{"type":"numeric_atoms","value":5995,"base":9}}},"used_operators":["eewbuw0ToL","RygbFNSyEJ","lyWz822IDG"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2252","layer":2},{"info":"number node, value=1718","layer":2},{"info":"compute binary expreesion, left_input=2252, right_input=1718, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-7259","layer":1},{"info":"number node, value=5831","layer":2},{"info":"number node, value=5995","layer":2},{"info":"compute binary expreesion, left_input=5831, right_input=5995, 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":"compute binary expreesion, left_input=-7259, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟3072≦↸⋋%⋟2318⨰⋋%⋟7888≌⋋%⋟8201=NaN","reverse_text":"NaN=⋋%⋟3072≦↸⋋%⋟2318⨰⋋%⋟7888≌⋋%⋟8201","cot":[{"info":"⋋%⋟3072≦↸⋋%⋟2318=⋋%⋟-10855","layer":1},{"info":"⋋%⋟7888≌⋋%⋟8201=NaN","layer":1},{"info":"⋋%⋟-10855⨰NaN=NaN","layer":0}]}
+{"id":334,"expression_no_base_symbol":"⪁⇼($1146$⪕$1281$)","expression":"⪁⇼(⋋%⋟1513⪕⋋%⋟1673)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":19,"operation_count":2,"complexity_ratio":9.5,"tree":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":1146,"base":9},"right_expr":{"type":"numeric_atoms","value":1281,"base":9}}},"used_operators":["ZNVVrZ94lY","umQnsF7QlU"],"dependent_operators":["sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF"],"result":"⋋%⋟518","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1146","layer":2},{"info":"number node, value=1281","layer":2},{"info":"compute binary expreesion, left_input=1146, right_input=1281, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=1912","layer":1},{"info":"compute unary expreesion, input=1912, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":0}],"base":9,"result_base":9,"text":"⪁⇼(⋋%⋟1513⪕⋋%⋟1673)=⋋%⋟518","reverse_text":"⋋%⋟518=⪁⇼(⋋%⋟1513⪕⋋%⋟1673)","cot":[{"info":"⋋%⋟1513⪕⋋%⋟1673=⋋%⋟2554","layer":1},{"info":"⪁⇼⋋%⋟2554=⋋%⋟518","layer":0}]}
+{"id":335,"expression_no_base_symbol":"$3024$⋣⋖$3246$⊾⪯⋞(∮$7129$)","expression":"⋋%⋟4130⋣⋖⋋%⋟4406⊾⪯⋞(∮⋋%⋟10701)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":363,"operation_count":3,"complexity_ratio":121.0,"tree":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":3024,"base":9},"right_expr":{"type":"numeric_atoms","value":3246,"base":9}},"right_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"numeric_atoms","value":7129,"base":9}}},"used_operators":["HK0tfVPux8","J0M6qkBnIM","CqXKPLVYql"],"dependent_operators":["s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL"],"result":"⋋%⋟-1108","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3024","layer":2},{"info":"number node, value=3246","layer":2},{"info":"compute binary expreesion, left_input=3024, right_input=3246, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=3024","layer":1},{"info":"number node, value=7129","layer":2},{"info":"compute unary expreesion, input=7129, 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":1},{"info":"compute binary expreesion, left_input=3024, right_input=67, 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":9,"result_base":9,"text":"⋋%⋟4130⋣⋖⋋%⋟4406⊾⪯⋞(∮⋋%⋟10701)=⋋%⋟-1108","reverse_text":"⋋%⋟-1108=⋋%⋟4130⋣⋖⋋%⋟4406⊾⪯⋞(∮⋋%⋟10701)","cot":[{"info":"⋋%⋟4130⋣⋖⋋%⋟4406=⋋%⋟4130","layer":1},{"info":"∮⋋%⋟10701=⋋%⋟74","layer":1},{"info":"⋋%⋟4130⊾⪯⋞⋋%⋟74=⋋%⋟-1108","layer":0}]}
+{"id":336,"expression_no_base_symbol":"⫯($2919$⪄$1158$)","expression":"⫯(⋋%⋟4003⪄⋋%⋟1526)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":142,"operation_count":2,"complexity_ratio":71.0,"tree":{"type":"unary","operator":"⫯","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2919,"base":9},"right_expr":{"type":"numeric_atoms","value":1158,"base":9}}},"used_operators":["H6BK1Evt7c","SUmda5xLS4"],"dependent_operators":["2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"⋋%⋟23168617","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2919","layer":2},{"info":"number node, value=1158","layer":2},{"info":"compute binary expreesion, left_input=2919, right_input=1158, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-432733","layer":1},{"info":"compute unary expreesion, input=-432733, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=11265010","layer":0}],"base":9,"result_base":9,"text":"⫯(⋋%⋟4003⪄⋋%⋟1526)=⋋%⋟23168617","reverse_text":"⋋%⋟23168617=⫯(⋋%⋟4003⪄⋋%⋟1526)","cot":[{"info":"⋋%⋟4003⪄⋋%⋟1526=⋋%⋟-728534","layer":1},{"info":"⫯⋋%⋟-728534=⋋%⋟23168617","layer":0}]}
+{"id":337,"expression_no_base_symbol":"(⇋↷$2689$)⨻⩈⩔($1399$⊍⩺⋍$7892$)","expression":"(⇋↷⋋%⋟3617)⨻⩈⩔(⋋%⋟1824⊍⩺⋍⋋%⋟11738)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":306,"operation_count":3,"complexity_ratio":102.0,"tree":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"numeric_atoms","value":2689,"base":9}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":1399,"base":9},"right_expr":{"type":"numeric_atoms","value":7892,"base":9}}},"used_operators":["nEsXyWgiOK","SWo3A1KBJH","OXDGMFPWZM"],"dependent_operators":["D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld"],"result":"⋋%⋟268483","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2689","layer":2},{"info":"compute unary expreesion, input=2689, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=21512","layer":1},{"info":"number node, value=1399","layer":2},{"info":"number node, value=7892","layer":2},{"info":"compute binary expreesion, left_input=1399, right_input=7892, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=21512, right_input=nan, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=163695","layer":0}],"base":9,"result_base":9,"text":"(⇋↷⋋%⋟3617)⨻⩈⩔(⋋%⋟1824⊍⩺⋍⋋%⋟11738)=⋋%⋟268483","reverse_text":"⋋%⋟268483=(⇋↷⋋%⋟3617)⨻⩈⩔(⋋%⋟1824⊍⩺⋍⋋%⋟11738)","cot":[{"info":"⇋↷⋋%⋟3617=⋋%⋟32452","layer":1},{"info":"⋋%⋟1824⊍⩺⋍⋋%⋟11738=NaN","layer":1},{"info":"⋋%⋟32452⨻⩈⩔NaN=⋋%⋟268483","layer":0}]}
+{"id":338,"expression_no_base_symbol":"$5125$⊬⨰$1159$⊾⪯⋞$1497$⪘⫢$4180$","expression":"⋋%⋟7024⊬⨰⋋%⋟1527⊾⪯⋞⋋%⋟2043⪘⫢⋋%⋟5654","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":81,"operation_count":3,"complexity_ratio":27.0,"tree":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":5125,"base":9},"right_expr":{"type":"numeric_atoms","value":1159,"base":9}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1497,"base":9},"right_expr":{"type":"numeric_atoms","value":4180,"base":9}}},"used_operators":["HK0tfVPux8","s3Fd5m9Dh2","oacrs7FA3X"],"dependent_operators":["s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"⋋%⋟7254","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=5125","layer":2},{"info":"number node, value=1159","layer":2},{"info":"compute binary expreesion, left_input=5125, right_input=1159, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=8705","layer":1},{"info":"number node, value=1497","layer":2},{"info":"number node, value=4180","layer":2},{"info":"compute binary expreesion, left_input=1497, right_input=4180, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2870","layer":1},{"info":"compute binary expreesion, left_input=8705, right_input=2870, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=5314","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟7024⊬⨰⋋%⋟1527⊾⪯⋞⋋%⋟2043⪘⫢⋋%⋟5654=⋋%⋟7254","reverse_text":"⋋%⋟7254=⋋%⋟7024⊬⨰⋋%⋟1527⊾⪯⋞⋋%⋟2043⪘⫢⋋%⋟5654","cot":[{"info":"⋋%⋟7024⊬⨰⋋%⋟1527=⋋%⋟12842","layer":1},{"info":"⋋%⋟2043⪘⫢⋋%⋟5654=⋋%⋟3838","layer":1},{"info":"⋋%⋟12842⊾⪯⋞⋋%⋟3838=⋋%⋟7254","layer":0}]}
+{"id":339,"expression_no_base_symbol":"(≔$2762$)≓∲(⪝⪂⫅$1561$)","expression":"(≔⋋%⋟3708)≓∲(⪝⪂⫅⋋%⋟2124)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2784,"operation_count":3,"complexity_ratio":928.0,"tree":{"type":"binary","operator":"≓∲","left_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"numeric_atoms","value":2762,"base":9}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1561,"base":9}}},"used_operators":["s1XTVnmDOJ","8FLs4eVsLt","XTarYq4gQB"],"dependent_operators":["HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","9HNa5Wba9A","8w2t5hMYqp"],"result":"⋋%⋟74","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2762","layer":2},{"info":"compute unary expreesion, input=2762, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-76042","layer":1},{"info":"number node, value=1561","layer":2},{"info":"compute unary expreesion, input=1561, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-229467","layer":1},{"info":"compute binary expreesion, left_input=-76042, right_input=-229467, 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":0}],"base":9,"result_base":9,"text":"(≔⋋%⋟3708)≓∲(⪝⪂⫅⋋%⋟2124)=⋋%⋟74","reverse_text":"⋋%⋟74=(≔⋋%⋟3708)≓∲(⪝⪂⫅⋋%⋟2124)","cot":[{"info":"≔⋋%⋟3708=⋋%⋟-125271","layer":1},{"info":"⪝⪂⫅⋋%⋟2124=⋋%⋟-378683","layer":1},{"info":"⋋%⋟-125271≓∲⋋%⋟-378683=⋋%⋟74","layer":0}]}
+{"id":340,"expression_no_base_symbol":"($5268$↬$4672$)↢($2086$⇴∐$1409$)","expression":"(⋋%⋟7203↬⋋%⋟6361)↢(⋋%⋟2767⇴∐⋋%⋟1835)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":39,"operation_count":3,"complexity_ratio":13.0,"tree":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":5268,"base":9},"right_expr":{"type":"numeric_atoms","value":4672,"base":9}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":2086,"base":9},"right_expr":{"type":"numeric_atoms","value":1409,"base":9}}},"used_operators":["WR6HLWljOP","B5M0gjZbta","HnzytWxmAO"],"dependent_operators":["eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","rGHVDoGpnC","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=5268","layer":2},{"info":"number node, value=4672","layer":2},{"info":"compute binary expreesion, left_input=5268, right_input=4672, 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=2086","layer":2},{"info":"number node, value=1409","layer":2},{"info":"compute binary expreesion, left_input=2086, right_input=1409, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥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":9,"result_base":9,"text":"(⋋%⋟7203↬⋋%⋟6361)↢(⋋%⋟2767⇴∐⋋%⋟1835)=NaN","reverse_text":"NaN=(⋋%⋟7203↬⋋%⋟6361)↢(⋋%⋟2767⇴∐⋋%⋟1835)","cot":[{"info":"⋋%⋟7203↬⋋%⋟6361=NaN","layer":1},{"info":"⋋%⋟2767⇴∐⋋%⋟1835=NaN","layer":1},{"info":"NaN↢NaN=NaN","layer":0}]}
+{"id":341,"expression_no_base_symbol":"$1702$⩦$4825$⪥⨬⪅","expression":"⋋%⋟2301⩦⋋%⋟6551⪥⨬⪅","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":117,"operation_count":2,"complexity_ratio":58.5,"tree":{"type":"unary","operator":"⪥⨬⪅","unary_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":1702,"base":9},"right_expr":{"type":"numeric_atoms","value":4825,"base":9}}},"used_operators":["zNRQejTB5A","0kmYd0q39Y"],"dependent_operators":["d7ASUq0ydm","Uaa54Peajs","3EYGwJThht","y4ImoPnbV5","JwTKLfZU96","rJVOvQCfKK","uWAJUKEvyW","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q"],"result":"⋋%⋟-575","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1702","layer":2},{"info":"number node, value=4825","layer":2},{"info":"compute binary expreesion, left_input=1702, right_input=4825, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=3404","layer":1},{"info":"compute unary expreesion, input=3404, op_id = zNRQejTB5A, unary_op_definition = 'a⪥⨬⪅ = { (((a⨎1)⊹∫⫚(a⇄a))⫯⪬∳((a∽a)↳≱(∂a))) }', output=-473","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟2301⩦⋋%⋟6551⪥⨬⪅=⋋%⋟-575","reverse_text":"⋋%⋟-575=⋋%⋟2301⩦⋋%⋟6551⪥⨬⪅","cot":[{"info":"⋋%⋟2301⩦⋋%⋟6551=⋋%⋟4602","layer":1},{"info":"⋋%⋟4602⪥⨬⪅=⋋%⋟-575","layer":0}]}
+{"id":342,"expression_no_base_symbol":"($1004$⪮%⊝$1871$)⪢(∡$5169$)","expression":"(⋋%⋟1335⪮%⊝⋋%⋟2508)⪢(∡⋋%⋟7073)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5188,"operation_count":3,"complexity_ratio":1729.3333333333333,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1004,"base":9},"right_expr":{"type":"numeric_atoms","value":1871,"base":9}},"right_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"numeric_atoms","value":5169,"base":9}}},"used_operators":["dWAJyo7jo9","IWmyXbctLI","pRsWfj4Fpp"],"dependent_operators":["k8jYdgA6NY","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1004","layer":2},{"info":"number node, value=1871","layer":2},{"info":"compute binary expreesion, left_input=1004, right_input=1871, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2324","layer":1},{"info":"number node, value=5169","layer":2},{"info":"compute unary expreesion, input=5169, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=-5169","layer":1},{"info":"compute binary expreesion, left_input=2324, right_input=-5169, 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":9,"result_base":9,"text":"(⋋%⋟1335⪮%⊝⋋%⋟2508)⪢(∡⋋%⋟7073)=NaN","reverse_text":"NaN=(⋋%⋟1335⪮%⊝⋋%⋟2508)⪢(∡⋋%⋟7073)","cot":[{"info":"⋋%⋟1335⪮%⊝⋋%⋟2508=⋋%⋟3162","layer":1},{"info":"∡⋋%⋟7073=⋋%⋟-7073","layer":1},{"info":"⋋%⋟3162⪢⋋%⋟-7073=NaN","layer":0}]}
+{"id":343,"expression_no_base_symbol":"(⊁⨺$1067$)+⪬∐($4826$⋷$5381$)","expression":"(⊁⨺⋋%⋟1415)+⪬∐(⋋%⋟6552⋷⋋%⋟7338)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":18,"operation_count":3,"complexity_ratio":6.0,"tree":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"numeric_atoms","value":1067,"base":9}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":4826,"base":9},"right_expr":{"type":"numeric_atoms","value":5381,"base":9}}},"used_operators":["2GS7woTJqF","PxiHyQbrIp","23Mk6UjR3U"],"dependent_operators":["g55IO6H4Gj","D4vGDi5EA2","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd"],"result":"⋋%⋟-583","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1067","layer":2},{"info":"compute unary expreesion, input=1067, 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":"number node, value=4826","layer":2},{"info":"number node, value=5381","layer":2},{"info":"compute binary expreesion, left_input=4826, right_input=5381, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=5936","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=5936, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-480","layer":0}],"base":9,"result_base":9,"text":"(⊁⨺⋋%⋟1415)+⪬∐(⋋%⋟6552⋷⋋%⋟7338)=⋋%⋟-583","reverse_text":"⋋%⋟-583=(⊁⨺⋋%⋟1415)+⪬∐(⋋%⋟6552⋷⋋%⋟7338)","cot":[{"info":"⊁⨺⋋%⋟1415=⋋%⋟187","layer":1},{"info":"⋋%⋟6552⋷⋋%⋟7338=⋋%⋟8125","layer":1},{"info":"⋋%⋟187+⪬∐⋋%⋟8125=⋋%⋟-583","layer":0}]}
+{"id":344,"expression_no_base_symbol":"⨦⪝(+⊝⨔$3564$)","expression":"⨦⪝(+⊝⨔⋋%⋟4800)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":71,"operation_count":2,"complexity_ratio":35.5,"tree":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":3564,"base":9}}},"used_operators":["SUjycxNXIR","DhbWaqg5eL"],"dependent_operators":["V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"⋋%⋟-2523","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3564","layer":2},{"info":"compute unary expreesion, input=3564, 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":1},{"info":"compute unary expreesion, input=1522, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":0}],"base":9,"result_base":9,"text":"⨦⪝(+⊝⨔⋋%⋟4800)=⋋%⋟-2523","reverse_text":"⋋%⋟-2523=⨦⪝(+⊝⨔⋋%⋟4800)","cot":[{"info":"+⊝⨔⋋%⋟4800=⋋%⋟2071","layer":1},{"info":"⨦⪝⋋%⋟2071=⋋%⋟-2523","layer":0}]}
+{"id":345,"expression_no_base_symbol":"($3036$⫸⊐$3736$)⩇∃⫛$1083$∛$3756$","expression":"(⋋%⋟4143⫸⊐⋋%⋟5111)⩇∃⫛⋋%⋟1433∛⋋%⋟5133","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":132,"operation_count":3,"complexity_ratio":44.0,"tree":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3036,"base":9},"right_expr":{"type":"numeric_atoms","value":3736,"base":9}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":1083,"base":9},"right_expr":{"type":"numeric_atoms","value":3756,"base":9}}},"used_operators":["1aApVXNlOP","mqXw5SEYmG","w2537kitQq"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc"],"result":"⋋%⋟-22534","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3036","layer":2},{"info":"number node, value=3736","layer":2},{"info":"compute binary expreesion, left_input=3036, right_input=3736, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=14819","layer":1},{"info":"number node, value=1083","layer":2},{"info":"number node, value=3756","layer":2},{"info":"compute binary expreesion, left_input=1083, right_input=3756, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":1},{"info":"compute binary expreesion, left_input=14819, right_input=-670, 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=-15016","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟4143⫸⊐⋋%⋟5111)⩇∃⫛⋋%⋟1433∛⋋%⋟5133=⋋%⋟-22534","reverse_text":"⋋%⋟-22534=(⋋%⋟4143⫸⊐⋋%⋟5111)⩇∃⫛⋋%⋟1433∛⋋%⋟5133","cot":[{"info":"⋋%⋟4143⫸⊐⋋%⋟5111=⋋%⋟22285","layer":1},{"info":"⋋%⋟1433∛⋋%⋟5133=⋋%⋟-824","layer":1},{"info":"⋋%⋟22285⩇∃⫛⋋%⋟-824=⋋%⋟-22534","layer":0}]}
+{"id":346,"expression_no_base_symbol":"($4061$⪡$5744$)⊋$5550$⋹⋡⊁$3958$","expression":"(⋋%⋟5512⪡⋋%⋟7782)⊋⋋%⋟7546⋹⋡⊁⋋%⋟5377","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":71701,"operation_count":3,"complexity_ratio":23900.333333333332,"tree":{"type":"binary","operator":"⊋","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":4061,"base":9},"right_expr":{"type":"numeric_atoms","value":5744,"base":9}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":5550,"base":9},"right_expr":{"type":"numeric_atoms","value":3958,"base":9}}},"used_operators":["W4tP9CfskL","oraRL2iQuh","As8RqfVLgs"],"dependent_operators":["2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux"],"result":"⋋%⋟-382706886","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=4061","layer":2},{"info":"number node, value=5744","layer":2},{"info":"compute binary expreesion, left_input=4061, right_input=5744, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":1},{"info":"number node, value=5550","layer":2},{"info":"number node, value=3958","layer":2},{"info":"compute binary expreesion, left_input=5550, right_input=3958, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=4708","layer":1},{"info":"compute binary expreesion, left_input=107, right_input=4708, 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=-168885240","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟5512⪡⋋%⋟7782)⊋⋋%⋟7546⋹⋡⊁⋋%⋟5377=⋋%⋟-382706886","reverse_text":"⋋%⋟-382706886=(⋋%⋟5512⪡⋋%⋟7782)⊋⋋%⋟7546⋹⋡⊁⋋%⋟5377","cot":[{"info":"⋋%⋟5512⪡⋋%⋟7782=⋋%⋟128","layer":1},{"info":"⋋%⋟7546⋹⋡⊁⋋%⋟5377=⋋%⋟6411","layer":1},{"info":"⋋%⋟128⊋⋋%⋟6411=⋋%⋟-382706886","layer":0}]}
+{"id":347,"expression_no_base_symbol":"$1299$+⪬∐$8983$↙$1981$∌↝$7440$","expression":"⋋%⋟1703+⪬∐⋋%⋟13281↙⋋%⋟2641∌↝⋋%⋟11176","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":21,"operation_count":3,"complexity_ratio":7.0,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":1299,"base":9},"right_expr":{"type":"numeric_atoms","value":8983,"base":9}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":1981,"base":9},"right_expr":{"type":"numeric_atoms","value":7440,"base":9}}},"used_operators":["yyfyN0ffXY","2GS7woTJqF","9Isq31Ruls"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","g55IO6H4Gj","D4vGDi5EA2","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI"],"result":"⋋%⋟-5310","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1299","layer":2},{"info":"number node, value=8983","layer":2},{"info":"compute binary expreesion, left_input=1299, right_input=8983, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-3897","layer":1},{"info":"number node, value=1981","layer":2},{"info":"number node, value=7440","layer":2},{"info":"compute binary expreesion, left_input=1981, right_input=7440, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-3897, right_input=0, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3897","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟1703+⪬∐⋋%⋟13281↙⋋%⋟2641∌↝⋋%⋟11176=⋋%⋟-5310","reverse_text":"⋋%⋟-5310=⋋%⋟1703+⪬∐⋋%⋟13281↙⋋%⋟2641∌↝⋋%⋟11176","cot":[{"info":"⋋%⋟1703+⪬∐⋋%⋟13281=⋋%⋟-5310","layer":1},{"info":"⋋%⋟2641∌↝⋋%⋟11176=⋋%⋟0","layer":1},{"info":"⋋%⋟-5310↙⋋%⋟0=⋋%⋟-5310","layer":0}]}
+{"id":348,"expression_no_base_symbol":"⫛⫱⨽($1467$⪶≀⋏$1391$)","expression":"⫛⫱⨽(⋋%⋟2010⪶≀⋏⋋%⋟1815)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1434,"operation_count":2,"complexity_ratio":717.0,"tree":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":1467,"base":9},"right_expr":{"type":"numeric_atoms","value":1391,"base":9}}},"used_operators":["DlLNRPXxWL","zR4jO40bMj"],"dependent_operators":["rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL"],"result":"⋋%⋟0","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1467","layer":2},{"info":"number node, value=1391","layer":2},{"info":"compute binary expreesion, left_input=1467, right_input=1391, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-7415","layer":1},{"info":"compute unary expreesion, input=-7415, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":0}],"base":9,"result_base":9,"text":"⫛⫱⨽(⋋%⋟2010⪶≀⋏⋋%⋟1815)=⋋%⋟0","reverse_text":"⋋%⋟0=⫛⫱⨽(⋋%⋟2010⪶≀⋏⋋%⋟1815)","cot":[{"info":"⋋%⋟2010⪶≀⋏⋋%⋟1815=⋋%⋟-11148","layer":1},{"info":"⫛⫱⨽⋋%⋟-11148=⋋%⋟0","layer":0}]}
+{"id":349,"expression_no_base_symbol":"($2513$⪓⨏)⨽$4414$⩣⫁∢$3144$","expression":"(⋋%⋟3402⪓⨏)⨽⋋%⋟6044⩣⫁∢⋋%⋟4273","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2707,"operation_count":3,"complexity_ratio":902.3333333333334,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⪓⨏","unary_expr":{"type":"numeric_atoms","value":2513,"base":9}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":4414,"base":9},"right_expr":{"type":"numeric_atoms","value":3144,"base":9}}},"used_operators":["8HhzD0ZcuI","4X9JU4Jbn6","JDUIKTTSIa"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","gJLn6v0xnP","nOKPl9n5zu","W9R8I5fN5A","rxpJgHHUmx","inkyxCbjAn","z63VuFQld9","AcOhelriW5","3sJ7IOPOlU","CoMdbyAt7R","cHh1gJQ2o6","xlXykHWxX1","Nsiff2A1zJ","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2513","layer":2},{"info":"compute unary expreesion, input=2513, 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=4414","layer":2},{"info":"number node, value=3144","layer":2},{"info":"compute binary expreesion, left_input=4414, right_input=3144, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-8667","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-8667, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟3402⪓⨏)⨽⋋%⋟6044⩣⫁∢⋋%⋟4273=NaN","reverse_text":"NaN=(⋋%⋟3402⪓⨏)⨽⋋%⋟6044⩣⫁∢⋋%⋟4273","cot":[{"info":"⋋%⋟3402⪓⨏=NaN","layer":1},{"info":"⋋%⋟6044⩣⫁∢⋋%⋟4273=⋋%⋟-12800","layer":1},{"info":"NaN⨽⋋%⋟-12800=NaN","layer":0}]}
+{"id":350,"expression_no_base_symbol":"$4431$⩁⩘$4541$⨭⪣$2159$⩧⪆$1594$","expression":"⋋%⋟6063⩁⩘⋋%⋟6205⨭⪣⋋%⋟2858⩧⪆⋋%⋟2161","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":56,"operation_count":3,"complexity_ratio":18.666666666666668,"tree":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":4431,"base":9},"right_expr":{"type":"numeric_atoms","value":4541,"base":9}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":2159,"base":9},"right_expr":{"type":"numeric_atoms","value":1594,"base":9}}},"used_operators":["kn8WO9XteQ","gub5Cegaqo","Ikt5ks8PT7"],"dependent_operators":["vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","DpFCA1CohY","IWmyXbctLI","eewbuw0ToL","t8gj7n24qd"],"result":"⋋%⋟26414","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=4431","layer":2},{"info":"number node, value=4541","layer":2},{"info":"compute binary expreesion, left_input=4431, right_input=4541, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=19112","layer":1},{"info":"number node, value=2159","layer":2},{"info":"number node, value=1594","layer":2},{"info":"compute binary expreesion, left_input=2159, right_input=1594, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-1594","layer":1},{"info":"compute binary expreesion, left_input=19112, right_input=-1594, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=17833","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟6063⩁⩘⋋%⋟6205⨭⪣⋋%⋟2858⩧⪆⋋%⋟2161=⋋%⋟26414","reverse_text":"⋋%⋟26414=⋋%⋟6063⩁⩘⋋%⋟6205⨭⪣⋋%⋟2858⩧⪆⋋%⋟2161","cot":[{"info":"⋋%⋟6063⩁⩘⋋%⋟6205=⋋%⋟28185","layer":1},{"info":"⋋%⋟2858⩧⪆⋋%⋟2161=⋋%⋟-2161","layer":1},{"info":"⋋%⋟28185⨭⪣⋋%⋟-2161=⋋%⋟26414","layer":0}]}
+{"id":351,"expression_no_base_symbol":"(⫡⇟⇯$2161$)↳∿⪆($1311$⨐⩸⫘$4475$)","expression":"(⫡⇟⇯⋋%⋟2861)↳∿⪆(⋋%⋟1716⨐⩸⫘⋋%⋟6122)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2347,"operation_count":3,"complexity_ratio":782.3333333333334,"tree":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"numeric_atoms","value":2161,"base":9}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1311,"base":9},"right_expr":{"type":"numeric_atoms","value":4475,"base":9}}},"used_operators":["Cw4SuJJGHO","qWUSsah53b","fu6greOZ01"],"dependent_operators":["hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","DZ8iAZOCBD","P8v4zCKN1o","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=2161","layer":2},{"info":"compute unary expreesion, input=2161, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=5190","layer":1},{"info":"number node, value=1311","layer":2},{"info":"number node, value=4475","layer":2},{"info":"compute binary expreesion, left_input=1311, right_input=4475, 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=5190, right_input=nan, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(⫡⇟⇯⋋%⋟2861)↳∿⪆(⋋%⋟1716⨐⩸⫘⋋%⋟6122)=NaN","reverse_text":"NaN=(⫡⇟⇯⋋%⋟2861)↳∿⪆(⋋%⋟1716⨐⩸⫘⋋%⋟6122)","cot":[{"info":"⫡⇟⇯⋋%⋟2861=⋋%⋟7106","layer":1},{"info":"⋋%⋟1716⨐⩸⫘⋋%⋟6122=NaN","layer":1},{"info":"⋋%⋟7106↳∿⪆NaN=NaN","layer":0}]}
+{"id":352,"expression_no_base_symbol":"($5562$↡⊰⫅$2074$)⫩","expression":"(⋋%⋟7560↡⊰⫅⋋%⋟2754)⫩","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":33199,"operation_count":2,"complexity_ratio":16599.5,"tree":{"type":"unary","operator":"⫩","unary_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":5562,"base":9},"right_expr":{"type":"numeric_atoms","value":2074,"base":9}}},"used_operators":["6aG7x05OhS","VCtxkLNOzz"],"dependent_operators":["dWAJyo7jo9","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=5562","layer":2},{"info":"number node, value=2074","layer":2},{"info":"compute binary expreesion, left_input=5562, right_input=2074, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=4148","layer":1},{"info":"compute unary expreesion, input=4148, op_id = 6aG7x05OhS, unary_op_definition = 'a⫩ = { (a⪢a) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟7560↡⊰⫅⋋%⋟2754)⫩=NaN","reverse_text":"NaN=(⋋%⋟7560↡⊰⫅⋋%⋟2754)⫩","cot":[{"info":"⋋%⋟7560↡⊰⫅⋋%⋟2754=⋋%⋟5618","layer":1},{"info":"⋋%⋟5618⫩=NaN","layer":0}]}
+{"id":353,"expression_no_base_symbol":"$1429$⩵∡$3535$⇼⇔∾$1626$≬⇓$3535$","expression":"⋋%⋟1857⩵∡⋋%⋟4757⇼⇔∾⋋%⋟2206≬⇓⋋%⋟4757","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":12,"operation_count":3,"complexity_ratio":4.0,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":1429,"base":9},"right_expr":{"type":"numeric_atoms","value":3535,"base":9}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":1626,"base":9},"right_expr":{"type":"numeric_atoms","value":3535,"base":9}}},"used_operators":["tifHPKVTfV","Y7wcNGrDQJ","jWTQ2TZYIH"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","NTOWxs364D","glklzrTFfD","tifHPKVTfV","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB"],"result":"⋋%⋟-712","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1429","layer":2},{"info":"number node, value=3535","layer":2},{"info":"compute binary expreesion, left_input=1429, right_input=3535, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=556","layer":1},{"info":"number node, value=1626","layer":2},{"info":"number node, value=3535","layer":2},{"info":"compute binary expreesion, left_input=1626, right_input=3535, 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=556, right_input=-22, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-578","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟1857⩵∡⋋%⋟4757⇼⇔∾⋋%⋟2206≬⇓⋋%⋟4757=⋋%⋟-712","reverse_text":"⋋%⋟-712=⋋%⋟1857⩵∡⋋%⋟4757⇼⇔∾⋋%⋟2206≬⇓⋋%⋟4757","cot":[{"info":"⋋%⋟1857⩵∡⋋%⋟4757=⋋%⋟677","layer":1},{"info":"⋋%⋟2206≬⇓⋋%⋟4757=⋋%⋟-24","layer":1},{"info":"⋋%⋟677⇼⇔∾⋋%⋟-24=⋋%⋟-712","layer":0}]}
+{"id":354,"expression_no_base_symbol":"$1362$⊢$1509$⪚$6788$≁↽≥$1532$","expression":"⋋%⋟1773⊢⋋%⋟2056⪚⋋%⋟10272≁↽≥⋋%⋟2082","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":67,"operation_count":3,"complexity_ratio":22.333333333333332,"tree":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":1362,"base":9},"right_expr":{"type":"numeric_atoms","value":1509,"base":9}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":6788,"base":9},"right_expr":{"type":"numeric_atoms","value":1532,"base":9}}},"used_operators":["HrjLwUk87U","5twsqlHp2o","ncHt1X6cMc"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","oWn0xqSxBt","3Oe9XWJUTD"],"result":"⋋%⋟6842","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1362","layer":2},{"info":"number node, value=1509","layer":2},{"info":"compute binary expreesion, left_input=1362, right_input=1509, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-2968","layer":1},{"info":"number node, value=6788","layer":2},{"info":"number node, value=1532","layer":2},{"info":"compute binary expreesion, left_input=6788, right_input=1532, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=95024","layer":1},{"info":"compute binary expreesion, left_input=-2968, right_input=95024, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=5060","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟1773⊢⋋%⋟2056⪚⋋%⋟10272≁↽≥⋋%⋟2082=⋋%⋟6842","reverse_text":"⋋%⋟6842=⋋%⋟1773⊢⋋%⋟2056⪚⋋%⋟10272≁↽≥⋋%⋟2082","cot":[{"info":"⋋%⋟1773⊢⋋%⋟2056=⋋%⋟-4057","layer":1},{"info":"⋋%⋟10272≁↽≥⋋%⋟2082=⋋%⋟154312","layer":1},{"info":"⋋%⋟-4057⪚⋋%⋟154312=⋋%⋟6842","layer":0}]}
+{"id":355,"expression_no_base_symbol":"(⋗⩴⪓$7932$)⪔(⨑⩽⪐$1709$)","expression":"(⋗⩴⪓⋋%⋟11783)⪔(⨑⩽⪐⋋%⋟2308)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9500,"operation_count":3,"complexity_ratio":3166.6666666666665,"tree":{"type":"binary","operator":"⪔","left_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"numeric_atoms","value":7932,"base":9}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1709,"base":9}}},"used_operators":["GjBEYRfMaF","nOKPl9n5zu","AF7qkfDlqP"],"dependent_operators":["YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"⋋%⋟550","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=7932","layer":2},{"info":"compute unary expreesion, input=7932, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=-7019","layer":1},{"info":"number node, value=1709","layer":2},{"info":"compute unary expreesion, input=1709, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1436","layer":1},{"info":"compute binary expreesion, left_input=-7019, right_input=-1436, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":0}],"base":9,"result_base":9,"text":"(⋗⩴⪓⋋%⋟11783)⪔(⨑⩽⪐⋋%⋟2308)=⋋%⋟550","reverse_text":"⋋%⋟550=(⋗⩴⪓⋋%⋟11783)⪔(⨑⩽⪐⋋%⋟2308)","cot":[{"info":"⋗⩴⪓⋋%⋟11783=⋋%⋟-10558","layer":1},{"info":"⨑⩽⪐⋋%⋟2308=⋋%⋟-1865","layer":1},{"info":"⋋%⋟-10558⪔⋋%⋟-1865=⋋%⋟550","layer":0}]}
+{"id":356,"expression_no_base_symbol":"($1329$⪁$2299$)≃($4281$⨵⪆$3008$)","expression":"(⋋%⋟1736⪁⋋%⋟3134)≃(⋋%⋟5776⨵⪆⋋%⋟4112)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":68355675,"operation_count":3,"complexity_ratio":22785225.0,"tree":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":1329,"base":9},"right_expr":{"type":"numeric_atoms","value":2299,"base":9}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":4281,"base":9},"right_expr":{"type":"numeric_atoms","value":3008,"base":9}}},"used_operators":["YbVcJGFEVW","I7sXao9hZE","2DQ55sFlQl"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","rysDP5nf3Z","t8gj7n24qd"],"result":"⋋%⋟-1771","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1329","layer":2},{"info":"number node, value=2299","layer":2},{"info":"compute binary expreesion, left_input=1329, right_input=2299, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":1},{"info":"number node, value=4281","layer":2},{"info":"number node, value=3008","layer":2},{"info":"compute binary expreesion, left_input=4281, right_input=3008, 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=nan, right_input=160, 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=-1360","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟1736⪁⋋%⋟3134)≃(⋋%⋟5776⨵⪆⋋%⋟4112)=⋋%⋟-1771","reverse_text":"⋋%⋟-1771=(⋋%⋟1736⪁⋋%⋟3134)≃(⋋%⋟5776⨵⪆⋋%⋟4112)","cot":[{"info":"⋋%⋟1736⪁⋋%⋟3134=NaN","layer":1},{"info":"⋋%⋟5776⨵⪆⋋%⋟4112=⋋%⋟187","layer":1},{"info":"NaN≃⋋%⋟187=⋋%⋟-1771","layer":0}]}
+{"id":357,"expression_no_base_symbol":"$1781$⇡⇂$1401$⫘($1773$∣$2268$)","expression":"⋋%⋟2388⇡⇂⋋%⋟1826⫘(⋋%⋟2380∣⋋%⋟3100)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7904,"operation_count":3,"complexity_ratio":2634.6666666666665,"tree":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":1781,"base":9},"right_expr":{"type":"numeric_atoms","value":1401,"base":9}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":1773,"base":9},"right_expr":{"type":"numeric_atoms","value":2268,"base":9}}},"used_operators":["48vC8HMD2b","UMwdvZNt44","PPChnnnBFF"],"dependent_operators":["OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1781","layer":2},{"info":"number node, value=1401","layer":2},{"info":"compute binary expreesion, left_input=1781, right_input=1401, 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=1773","layer":2},{"info":"number node, value=2268","layer":2},{"info":"compute binary expreesion, left_input=1773, right_input=2268, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=1773","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1773, 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":9,"result_base":9,"text":"⋋%⋟2388⇡⇂⋋%⋟1826⫘(⋋%⋟2380∣⋋%⋟3100)=NaN","reverse_text":"NaN=⋋%⋟2388⇡⇂⋋%⋟1826⫘(⋋%⋟2380∣⋋%⋟3100)","cot":[{"info":"⋋%⋟2388⇡⇂⋋%⋟1826=NaN","layer":1},{"info":"⋋%⋟2380∣⋋%⋟3100=⋋%⋟2380","layer":1},{"info":"NaN⫘⋋%⋟2380=NaN","layer":0}]}
+{"id":358,"expression_no_base_symbol":"($4050$∌$5181$)↤⩊($2367$⫯⪬∳$3486$)","expression":"(⋋%⋟5500∌⋋%⋟7086)↤⩊(⋋%⋟3220⫯⪬∳⋋%⋟4703)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":186,"operation_count":3,"complexity_ratio":62.0,"tree":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":4050,"base":9},"right_expr":{"type":"numeric_atoms","value":5181,"base":9}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":2367,"base":9},"right_expr":{"type":"numeric_atoms","value":3486,"base":9}}},"used_operators":["13rbtpv6ld","8cLx32lpNA","d7ASUq0ydm"],"dependent_operators":["s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=4050","layer":2},{"info":"number node, value=5181","layer":2},{"info":"compute binary expreesion, left_input=4050, right_input=5181, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-5181","layer":1},{"info":"number node, value=2367","layer":2},{"info":"number node, value=3486","layer":2},{"info":"compute binary expreesion, left_input=2367, right_input=3486, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮���)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=8382","layer":1},{"info":"compute binary expreesion, left_input=-5181, right_input=8382, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟5500∌⋋%⋟7086)↤⩊(⋋%⋟3220⫯⪬∳⋋%⋟4703)=NaN","reverse_text":"NaN=(⋋%⋟5500∌⋋%⋟7086)↤⩊(⋋%⋟3220⫯⪬∳⋋%⋟4703)","cot":[{"info":"⋋%⋟5500∌⋋%⋟7086=⋋%⋟-7086","layer":1},{"info":"⋋%⋟3220⫯⪬∳⋋%⋟4703=⋋%⋟12443","layer":1},{"info":"⋋%⋟-7086↤⩊⋋%⋟12443=NaN","layer":0}]}
+{"id":359,"expression_no_base_symbol":"($4047$/$5634$)⨸⪁$2528$≌$4110$","expression":"(⋋%⋟5486/⋋%⋟7650)⨸⪁⋋%⋟3418≌⋋%⋟5566","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4245,"operation_count":3,"complexity_ratio":1415.0,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":4047,"base":9},"right_expr":{"type":"numeric_atoms","value":5634,"base":9}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":2528,"base":9},"right_expr":{"type":"numeric_atoms","value":4110,"base":9}}},"used_operators":["g55IO6H4Gj","XhwjNDsVaA","lyWz822IDG"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=4047","layer":2},{"info":"number node, value=5634","layer":2},{"info":"compute binary expreesion, left_input=4047, right_input=5634, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":1},{"info":"number node, value=2528","layer":2},{"info":"number node, value=4110","layer":2},{"info":"compute binary expreesion, left_input=2528, right_input=4110, 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":"compute binary expreesion, left_input=0, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟5486/⋋%⋟7650)⨸⪁⋋%⋟3418≌⋋%⋟5566=NaN","reverse_text":"NaN=(⋋%⋟5486/⋋%⋟7650)⨸⪁⋋%⋟3418≌⋋%⋟5566","cot":[{"info":"⋋%⋟5486/⋋%⋟7650=⋋%⋟0","layer":1},{"info":"⋋%⋟3418≌⋋%⋟5566=NaN","layer":1},{"info":"⋋%⋟0⨸⪁NaN=NaN","layer":0}]}
+{"id":360,"expression_no_base_symbol":"($2654$⫲)⪨⊡($2549$⫸⊐$3614$)","expression":"(⋋%⋟3568⫲)⪨⊡(⋋%⋟3442⫸⊐⋋%⋟4855)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":50,"operation_count":3,"complexity_ratio":16.666666666666668,"tree":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"unary","operator":"⫲","unary_expr":{"type":"numeric_atoms","value":2654,"base":9}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2549,"base":9},"right_expr":{"type":"numeric_atoms","value":3614,"base":9}}},"used_operators":["kuIXHzHcAH","9xnGDUPbC6","mqXw5SEYmG"],"dependent_operators":["JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","NTOWxs364D","Qy55tPpLXF","DZ8iAZOCBD","8w2t5hMYqp","2DDjHMKMc0","AF7qkfDlqP","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"⋋%⋟0","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2654","layer":2},{"info":"compute unary expreesion, input=2654, op_id = 9xnGDUPbC6, unary_op_definition = 'a⫲ = { ((272⩚⊴⇥36)⊉≛↸(⨑⩽⪐a)) , if (⊄⩳↩a)<13 ; ((a⩚⊴⇥a)⋝⋈⪟(533⋥≓≎a)) , else }', output=2381","layer":1},{"info":"number node, value=2549","layer":2},{"info":"number node, value=3614","layer":2},{"info":"compute binary expreesion, left_input=2549, right_input=3614, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=14331","layer":1},{"info":"compute binary expreesion, left_input=2381, right_input=14331, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟3568⫲)⪨⊡(⋋%⋟3442⫸⊐⋋%⋟4855)=⋋%⋟0","reverse_text":"⋋%⋟0=(⋋%⋟3568⫲)⪨⊡(⋋%⋟3442⫸⊐⋋%⋟4855)","cot":[{"info":"⋋%⋟3568⫲=⋋%⋟3235","layer":1},{"info":"⋋%⋟3442⫸⊐⋋%⋟4855=⋋%⋟21583","layer":1},{"info":"⋋%⋟3235⪨⊡⋋%⋟21583=⋋%⋟0","layer":0}]}
+{"id":361,"expression_no_base_symbol":"(⇜$1982$)≀⫉($7583$⩺⪪$3245$)","expression":"(⇜���%⋟2642)≀⫉(⋋%⋟11355⩺⪪⋋%⋟4405)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":592,"operation_count":3,"complexity_ratio":197.33333333333334,"tree":{"type":"binary","operator":"≀⫉","left_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"numeric_atoms","value":1982,"base":9}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":7583,"base":9},"right_expr":{"type":"numeric_atoms","value":3245,"base":9}}},"used_operators":["oZj3VtZNQx","lFBm8KRb8F","uvdQJvN4PV"],"dependent_operators":["9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U"],"result":"⋋%⋟3775","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1982","layer":2},{"info":"compute unary expreesion, input=1982, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-16264","layer":1},{"info":"number node, value=7583","layer":2},{"info":"number node, value=3245","layer":2},{"info":"compute binary expreesion, left_input=7583, right_input=3245, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-70306","layer":1},{"info":"compute binary expreesion, left_input=-16264, right_input=-70306, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":0}],"base":9,"result_base":9,"text":"(⇜⋋%⋟2642)≀⫉(⋋%⋟11355⩺⪪⋋%⋟4405)=⋋%⋟3775","reverse_text":"⋋%⋟3775=(⇜⋋%⋟2642)≀⫉(⋋%⋟11355⩺⪪⋋%⋟4405)","cot":[{"info":"⇜⋋%⋟2642=⋋%⋟-24271","layer":1},{"info":"⋋%⋟11355⩺⪪⋋%⋟4405=⋋%⋟-116387","layer":1},{"info":"⋋%⋟-24271≀⫉⋋%⋟-116387=⋋%⋟3775","layer":0}]}
+{"id":362,"expression_no_base_symbol":"↑($1801$∳⫺$2678$)","expression":"↑(⋋%⋟2421∳⫺⋋%⋟3605)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":102,"operation_count":2,"complexity_ratio":51.0,"tree":{"type":"unary","operator":"↑","unary_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":1801,"base":9},"right_expr":{"type":"numeric_atoms","value":2678,"base":9}}},"used_operators":["tR7O2zTn5j","AzXXKTstlj"],"dependent_operators":["oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT"],"result":"⋋%⋟233","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1801","layer":2},{"info":"number node, value=2678","layer":2},{"info":"compute binary expreesion, left_input=1801, right_input=2678, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":1},{"info":"compute unary expreesion, input=-260, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":0}],"base":9,"result_base":9,"text":"↑(⋋%⋟2421∳⫺⋋%⋟3605)=⋋%⋟233","reverse_text":"⋋%⋟233=↑(⋋%⋟2421∳⫺⋋%⋟3605)","cot":[{"info":"⋋%⋟2421∳⫺⋋%⋟3605=⋋%⋟-318","layer":1},{"info":"↑⋋%⋟-318=⋋%⋟233","layer":0}]}
+{"id":363,"expression_no_base_symbol":"(⇠$3242$)⩖⊿($2578$⋛$1121$)","expression":"(⇠⋋%⋟4402)⩖⊿(⋋%⋟3474⋛⋋%⋟1475)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":293,"operation_count":3,"complexity_ratio":97.66666666666667,"tree":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"numeric_atoms","value":3242,"base":9}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":2578,"base":9},"right_expr":{"type":"numeric_atoms","value":1121,"base":9}}},"used_operators":["RZ5CV9rWsJ","18saOjeKKm","YbUVn0Rbpy"],"dependent_operators":["HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA"],"result":"⋋%⋟364566","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3242","layer":2},{"info":"compute unary expreesion, input=3242, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-3000","layer":1},{"info":"number node, value=2578","layer":2},{"info":"number node, value=1121","layer":2},{"info":"compute binary expreesion, left_input=2578, right_input=1121, 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=-108990","layer":1},{"info":"compute binary expreesion, left_input=-3000, right_input=-108990, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=219894","layer":0}],"base":9,"result_base":9,"text":"(⇠⋋%⋟4402)⩖⊿(⋋%⋟3474⋛⋋%⋟1475)=⋋%⋟364566","reverse_text":"⋋%⋟364566=(⇠⋋%⋟4402)⩖⊿(⋋%⋟3474⋛⋋%⋟1475)","cot":[{"info":"⇠⋋%⋟4402=⋋%⋟-4103","layer":1},{"info":"⋋%⋟3474⋛⋋%⋟1475=⋋%⋟-175450","layer":1},{"info":"⋋%⋟-4103⩖⊿⋋%⋟-175450=⋋%⋟364566","layer":0}]}
+{"id":364,"expression_no_base_symbol":"($2425$+⇶⊼$3950$)≃⋄","expression":"(⋋%⋟3284+⇶⊼⋋%⋟5368)≃⋄","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":24,"operation_count":2,"complexity_ratio":12.0,"tree":{"type":"unary","operator":"≃⋄","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2425,"base":9},"right_expr":{"type":"numeric_atoms","value":3950,"base":9}}},"used_operators":["aN9a90urxU","TpPTUOHfaN"],"dependent_operators":["uFcxV4UQCh","jLgFTUHLKL","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=2425","layer":2},{"info":"number node, value=3950","layer":2},{"info":"compute binary expreesion, left_input=2425, right_input=3950, 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 = aN9a90urxU, unary_op_definition = 'a≃⋄ = { (↩(252⪛a)) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟3284+⇶⊼⋋%⋟5368)≃⋄=NaN","reverse_text":"NaN=(⋋%⋟3284+⇶⊼⋋%⋟5368)≃⋄","cot":[{"info":"⋋%⋟3284+⇶⊼⋋%⋟5368=NaN","layer":1},{"info":"NaN≃⋄=NaN","layer":0}]}
+{"id":365,"expression_no_base_symbol":"$1800$⊮⊟↴$5105$↳∿⪆(⇖$1216$)","expression":"⋋%⋟2420⊮⊟↴⋋%⋟7002↳∿⪆(⇖⋋%⋟1601)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2436,"operation_count":3,"complexity_ratio":812.0,"tree":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":1800,"base":9},"right_expr":{"type":"numeric_atoms","value":5105,"base":9}},"right_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"numeric_atoms","value":1216,"base":9}}},"used_operators":["Cw4SuJJGHO","QDVgd2eftb","tfWHHpNKUN"],"dependent_operators":["hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","2DQ55sFlQl"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1800","layer":2},{"info":"number node, value=5105","layer":2},{"info":"compute binary expreesion, left_input=1800, right_input=5105, 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=1216","layer":2},{"info":"compute unary expreesion, input=1216, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=160, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟2420⊮⊟↴⋋%⋟7002↳∿⪆(⇖⋋%⋟1601)=NaN","reverse_text":"NaN=⋋%⋟2420⊮⊟↴⋋%⋟7002↳∿⪆(⇖⋋%⋟1601)","cot":[{"info":"⋋%⋟2420⊮⊟↴⋋%⋟7002=⋋%⋟0","layer":1},{"info":"⇖⋋%⋟1601=⋋%⋟187","layer":1},{"info":"⋋%⋟0↳∿⪆⋋%⋟187=NaN","layer":0}]}
+{"id":366,"expression_no_base_symbol":"$2898$≧⫂∧$4608$⩒⫫($4241$⨎⋸⪻)","expression":"⋋%⋟3870≧⫂∧⋋%⋟6280⩒⫫(⋋%⋟5732⨎⋸⪻)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":34,"operation_count":3,"complexity_ratio":11.333333333333334,"tree":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2898,"base":9},"right_expr":{"type":"numeric_atoms","value":4608,"base":9}},"right_expr":{"type":"unary","operator":"⨎⋸⪻","unary_expr":{"type":"numeric_atoms","value":4241,"base":9}}},"used_operators":["KFSx94NKJn","Ph9nP6C5qx","Dk5vyLCiGd"],"dependent_operators":["NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","IWmyXbctLI"],"result":"⋋%⋟5228","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2898","layer":2},{"info":"number node, value=4608","layer":2},{"info":"compute binary expreesion, left_input=2898, right_input=4608, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=4135","layer":1},{"info":"number node, value=4241","layer":2},{"info":"compute unary expreesion, input=4241, op_id = Dk5vyLCiGd, unary_op_definition = 'a⨎⋸⪻ = { (a⪮%⊝26) }', output=8798","layer":1},{"info":"compute binary expreesion, left_input=4135, right_input=8798, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=3833","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟3870≧⫂∧⋋%⋟6280⩒⫫(⋋%⋟5732⨎⋸⪻)=⋋%⋟5228","reverse_text":"⋋%⋟5228=⋋%⋟3870≧⫂∧⋋%⋟6280⩒⫫(⋋%⋟5732⨎⋸⪻)","cot":[{"info":"⋋%⋟3870≧⫂∧⋋%⋟6280=⋋%⋟5604","layer":1},{"info":"⋋%⋟5732⨎⋸⪻=⋋%⋟13055","layer":1},{"info":"⋋%⋟5604⩒⫫⋋%⋟13055=⋋%⋟5228","layer":0}]}
+{"id":367,"expression_no_base_symbol":"$1788$∘$1834$∙∹∝$3940$⪝$1766$","expression":"⋋%⋟2406∘⋋%⋟2457∙∹∝⋋%⋟5357⪝⋋%⋟2372","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":430,"operation_count":3,"complexity_ratio":143.33333333333334,"tree":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":1788,"base":9},"right_expr":{"type":"numeric_atoms","value":1834,"base":9}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":3940,"base":9},"right_expr":{"type":"numeric_atoms","value":1766,"base":9}}},"used_operators":["HmxsFra2vL","Z5m6OM72h2","wicAB68Tmb"],"dependent_operators":["BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","eH2TOUuTDT","rysDP5nf3Z","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X"],"result":"⋋%⋟0","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1788","layer":2},{"info":"number node, value=1834","layer":2},{"info":"compute binary expreesion, left_input=1788, right_input=1834, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=3576","layer":1},{"info":"number node, value=3940","layer":2},{"info":"number node, value=1766","layer":2},{"info":"compute binary expreesion, left_input=3940, right_input=1766, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-9095","layer":1},{"info":"compute binary expreesion, left_input=3576, right_input=-9095, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟2406∘⋋%⋟2457∙∹∝⋋%⋟5357⪝⋋%⋟2372=⋋%⋟0","reverse_text":"⋋%⋟0=⋋%⋟2406∘⋋%⋟2457∙∹∝⋋%⋟5357⪝⋋%⋟2372","cot":[{"info":"⋋%⋟2406∘⋋%⋟2457=⋋%⋟4813","layer":1},{"info":"⋋%⋟5357⪝⋋%⋟2372=⋋%⋟-13425","layer":1},{"info":"⋋%⋟4813∙∹∝⋋%⋟-13425=⋋%⋟0","layer":0}]}
+{"id":368,"expression_no_base_symbol":"($1013$⋖∅⋲)⫳≱↱$3235$⪉⨛$1278$","expression":"(⋋%⋟1345⋖∅⋲)⫳≱↱⋋%⋟4384⪉⨛⋋%⋟1670","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":243,"operation_count":3,"complexity_ratio":81.0,"tree":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"unary","operator":"⋖∅⋲","unary_expr":{"type":"numeric_atoms","value":1013,"base":9}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":3235,"base":9},"right_expr":{"type":"numeric_atoms","value":1278,"base":9}}},"used_operators":["ZvLB05nZmT","L95AwlJzhO","EWw2JM7wp4"],"dependent_operators":["2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","gx7XJ7hdpj","3nqY3DE9mg","XTarYq4gQB","y4ImoPnbV5","i8ToyICDmI","xNBdhnnwKq","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL"],"result":"⋋%⋟-3753","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1013","layer":2},{"info":"compute unary expreesion, input=1013, op_id = L95AwlJzhO, unary_op_definition = 'a⋖∅⋲ = { ((⪝⪂⫅431)⊍) , if (a∲⫓500)>7 ; ((a∽304)⫸⇳(a⊭∹↮)) , else }', output=-384231","layer":1},{"info":"number node, value=3235","layer":2},{"info":"number node, value=1278","layer":2},{"info":"compute binary expreesion, left_input=3235, right_input=1278, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=8642","layer":1},{"info":"compute binary expreesion, left_input=-384231, right_input=8642, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-2802","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟1345⋖∅⋲)⫳≱↱⋋%⋟4384⪉⨛⋋%⋟1670=⋋%⋟-3753","reverse_text":"⋋%⋟-3753=(⋋%⋟1345⋖∅⋲)⫳≱↱⋋%⋟4384⪉⨛⋋%⋟1670","cot":[{"info":"⋋%⋟1345⋖∅⋲=⋋%⋟-645053","layer":1},{"info":"⋋%⋟4384⪉⨛⋋%⋟1670=⋋%⋟12762","layer":1},{"info":"⋋%⋟-645053⫳≱↱⋋%⋟12762=⋋%⋟-3753","layer":0}]}
+{"id":369,"expression_no_base_symbol":"$2957$⫁$1385$⨪↰⇹($2178$⪛⫼$6470$)","expression":"⋋%⋟4045⫁⋋%⋟1808⨪↰⇹(⋋%⋟2880⪛⫼⋋%⋟8778)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":375,"operation_count":3,"complexity_ratio":125.0,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":2957,"base":9},"right_expr":{"type":"numeric_atoms","value":1385,"base":9}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":2178,"base":9},"right_expr":{"type":"numeric_atoms","value":6470,"base":9}}},"used_operators":["tmPS8pqC7x","0ajvFaJAv0","hyuBjUqXlG"],"dependent_operators":["rJVOvQCfKK","cHh1gJQ2o6","AHs5Up7iyr","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG"],"result":"⋋%⋟187","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=2957","layer":2},{"info":"number node, value=1385","layer":2},{"info":"compute binary expreesion, left_input=2957, right_input=1385, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":1},{"info":"number node, value=2178","layer":2},{"info":"number node, value=6470","layer":2},{"info":"compute binary expreesion, left_input=2178, right_input=6470, 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=160, right_input=968, 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":0}],"base":9,"result_base":9,"text":"⋋%⋟4045⫁⋋%⋟1808⨪↰⇹(⋋%⋟2880⪛⫼⋋%⋟8778)=⋋%⋟187","reverse_text":"⋋%⋟187=⋋%⋟4045⫁⋋%⋟1808⨪↰⇹(⋋%⋟2880⪛⫼⋋%⋟8778)","cot":[{"info":"⋋%⋟4045⫁⋋%⋟1808=⋋%⋟187","layer":1},{"info":"⋋%⋟2880⪛⫼⋋%⋟8778=⋋%⋟1285","layer":1},{"info":"⋋%⋟187⨪↰⇹⋋%⋟1285=⋋%⋟187","layer":0}]}
+{"id":370,"expression_no_base_symbol":"$1030$⇻⋧≁$1439$∙∹∝$6592$↳∿⪆$6243$","expression":"⋋%⋟1364⇻⋧≁⋋%⋟1868∙∹∝⋋%⋟10034↳∿⪆⋋%⋟8506","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3551,"operation_count":3,"complexity_ratio":1183.6666666666667,"tree":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":1030,"base":9},"right_expr":{"type":"numeric_atoms","value":1439,"base":9}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":6592,"base":9},"right_expr":{"type":"numeric_atoms","value":6243,"base":9}}},"used_operators":["HmxsFra2vL","jCPkEVoL5K","Cw4SuJJGHO"],"dependent_operators":["BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q"],"result":"⋋%⋟0","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1030","layer":2},{"info":"number node, value=1439","layer":2},{"info":"compute binary expreesion, left_input=1030, right_input=1439, 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":"number node, value=6592","layer":2},{"info":"number node, value=6243","layer":2},{"info":"compute binary expreesion, left_input=6592, right_input=6243, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-447, right_input=nan, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟1364⇻⋧≁⋋%⋟1868∙∹∝⋋%⋟10034↳∿⪆⋋%⋟8506=⋋%⋟0","reverse_text":"⋋%⋟0=⋋%⋟1364⇻⋧≁⋋%⋟1868∙∹∝⋋%⋟10034↳∿⪆⋋%⋟8506","cot":[{"info":"⋋%⋟1364⇻⋧≁⋋%⋟1868=⋋%⋟-546","layer":1},{"info":"⋋%⋟10034↳∿⪆⋋%⋟8506=NaN","layer":1},{"info":"⋋%⋟-546∙∹∝NaN=⋋%⋟0","layer":0}]}
+{"id":371,"expression_no_base_symbol":"($2895$⊅)≥⨤⩑($5286$⊉≛↸$2617$)","expression":"(⋋%⋟3866⊅)≥⨤⩑(⋋%⋟7223⊉≛↸⋋%⋟3527)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":135,"operation_count":3,"complexity_ratio":45.0,"tree":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"unary","operator":"⊅","unary_expr":{"type":"numeric_atoms","value":2895,"base":9}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":5286,"base":9},"right_expr":{"type":"numeric_atoms","value":2617,"base":9}}},"used_operators":["gJLn6v0xnP","7p6YLioM7f","DZ8iAZOCBD"],"dependent_operators":["mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","SUmda5xLS4","vg4gO5BX6G","HrjLwUk87U","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⋋%⋟1621","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2895","layer":2},{"info":"compute unary expreesion, input=2895, op_id = 7p6YLioM7f, unary_op_definition = 'a⊅ = { ((a⪄a)⊨(517⪚a)) }', output=-174","layer":1},{"info":"number node, value=5286","layer":2},{"info":"number node, value=2617","layer":2},{"info":"compute binary expreesion, left_input=5286, right_input=2617, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=10572","layer":1},{"info":"compute binary expreesion, left_input=-174, right_input=10572, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟3866⊅)≥⨤⩑(⋋%⋟7223⊉≛↸⋋%⋟3527)=⋋%⋟1621","reverse_text":"⋋%⋟1621=(⋋%⋟3866⊅)≥⨤⩑(⋋%⋟7223⊉≛↸⋋%⋟3527)","cot":[{"info":"⋋%⋟3866⊅=⋋%⋟-213","layer":1},{"info":"⋋%⋟7223⊉≛↸⋋%⋟3527=⋋%⋟15446","layer":1},{"info":"⋋%⋟-213≥⨤⩑⋋%⋟15446=⋋%⋟1621","layer":0}]}
+{"id":372,"expression_no_base_symbol":"$4036$⫯⪬∳$2271$≭(⫖→$5981$)","expression":"⋋%⋟5474⫯⪬∳⋋%⋟3103≭(⫖→⋋%⋟8175)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6193,"operation_count":3,"complexity_ratio":2064.3333333333335,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":4036,"base":9},"right_expr":{"type":"numeric_atoms","value":2271,"base":9}},"right_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"numeric_atoms","value":5981,"base":9}}},"used_operators":["rxpJgHHUmx","d7ASUq0ydm","U4ylXWHChL"],"dependent_operators":["AHs5Up7iyr","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=4036","layer":2},{"info":"number node, value=2271","layer":2},{"info":"compute binary expreesion, left_input=4036, right_input=2271, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=17942","layer":1},{"info":"number node, value=5981","layer":2},{"info":"compute unary expreesion, input=5981, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":1},{"info":"compute binary expreesion, left_input=17942, right_input=177, 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":0}],"base":9,"result_base":9,"text":"⋋%⋟5474⫯⪬∳⋋%⋟3103≭(⫖→⋋%⋟8175)=NaN","reverse_text":"NaN=⋋%⋟5474⫯⪬∳⋋%⋟3103≭(⫖→⋋%⋟8175)","cot":[{"info":"⋋%⋟5474⫯⪬∳⋋%⋟3103=⋋%⋟26545","layer":1},{"info":"⫖→⋋%⋟8175=⋋%⋟216","layer":1},{"info":"⋋%⋟26545≭⋋%⋟216=NaN","layer":0}]}
+{"id":373,"expression_no_base_symbol":"$3278$≠≀$1343$⇄$5059$⨟⋌⩍$1061$","expression":"⋋%⋟4442≠≀⋋%⋟1752⇄⋋%⋟6841⨟⋌⩍⋋%⋟1408","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":21,"operation_count":3,"complexity_ratio":7.0,"tree":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":3278,"base":9},"right_expr":{"type":"numeric_atoms","value":1343,"base":9}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":5059,"base":9},"right_expr":{"type":"numeric_atoms","value":1061,"base":9}}},"used_operators":["3EYGwJThht","IwW236VD4Y","rGHVDoGpnC"],"dependent_operators":["eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3278","layer":2},{"info":"number node, value=1343","layer":2},{"info":"compute binary expreesion, left_input=3278, right_input=1343, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-6250","layer":1},{"info":"number node, value=5059","layer":2},{"info":"number node, value=1061","layer":2},{"info":"compute binary expreesion, left_input=5059, right_input=1061, 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=-6250, right_input=nan, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟4442≠≀⋋%⋟1752⇄⋋%⋟6841⨟⋌⩍⋋%⋟1408=NaN","reverse_text":"NaN=⋋%⋟4442≠≀⋋%⋟1752⇄⋋%⋟6841⨟⋌⩍⋋%⋟1408","cot":[{"info":"⋋%⋟4442≠≀⋋%⋟1752=⋋%⋟-8514","layer":1},{"info":"⋋%⋟6841⨟⋌⩍⋋%⋟1408=NaN","layer":1},{"info":"⋋%⋟-8514⇄NaN=NaN","layer":0}]}
+{"id":374,"expression_no_base_symbol":"(⊆⋠$1776$)⨐($9798$∈)","expression":"(⊆⋠⋋%⋟2383)⨐(⋋%⋟14386∈)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":48,"operation_count":3,"complexity_ratio":16.0,"tree":{"type":"binary","operator":"⨐","left_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"numeric_atoms","value":1776,"base":9}},"right_expr":{"type":"unary","operator":"∈","unary_expr":{"type":"numeric_atoms","value":9798,"base":9}}},"used_operators":["Noe24qw2ks","EBhcHTkKd8","ztP7wcbY7m"],"dependent_operators":["u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","rysDP5nf3Z","XPYlsWDdGa","8w2t5hMYqp","f6k1SAg4EE","14qkJME0vr"],"result":"⋋%⋟0","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1776","layer":2},{"info":"compute unary expreesion, input=1776, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=0","layer":1},{"info":"number node, value=9798","layer":2},{"info":"compute unary expreesion, input=9798, op_id = ztP7wcbY7m, unary_op_definition = 'a∈ = { ((⊄⩳↩250)-(a⊦⊿)) , if ((⪲⇎a)>320 or (a⪒777)>25 or a!=39) ; a , else }', output=28723","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=28723, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=0","layer":0}],"base":9,"result_base":9,"text":"(⊆⋠⋋%⋟2383)⨐(⋋%⋟14386∈)=⋋%⋟0","reverse_text":"⋋%⋟0=(⊆⋠⋋%⋟2383)⨐(⋋%⋟14386∈)","cot":[{"info":"⊆⋠⋋%⋟2383=⋋%⋟0","layer":1},{"info":"⋋%⋟14386∈=⋋%⋟43354","layer":1},{"info":"⋋%⋟0⨐⋋%⋟43354=⋋%⋟0","layer":0}]}
+{"id":375,"expression_no_base_symbol":"≉(≇⪴$1086$)","expression":"≉(≇⪴⋋%⋟1436)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":8,"operation_count":2,"complexity_ratio":4.0,"tree":{"type":"unary","operator":"≉","unary_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"numeric_atoms","value":1086,"base":9}}},"used_operators":["e1ybzncUwg","zoVPnxeHJ3"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C"],"result":"⋋%⋟-2561","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1086","layer":2},{"info":"compute unary expreesion, input=1086, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-1918","layer":1},{"info":"compute unary expreesion, input=-1918, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=-1918","layer":0}],"base":9,"result_base":9,"text":"≉(≇⪴⋋%⋟1436)=⋋%⋟-2561","reverse_text":"⋋%⋟-2561=≉(≇⪴⋋%⋟1436)","cot":[{"info":"≇⪴⋋%⋟1436=⋋%⋟-2561","layer":1},{"info":"≉⋋%⋟-2561=⋋%⋟-2561","layer":0}]}
+{"id":376,"expression_no_base_symbol":"(≋$3116$)⊴⇁⪶","expression":"(≋⋋%⋟4242)⊴⇁⪶","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3273,"operation_count":2,"complexity_ratio":1636.5,"tree":{"type":"unary","operator":"⊴⇁⪶","unary_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"numeric_atoms","value":3116,"base":9}}},"used_operators":["oo9mF6JIpo","61wBmkZwlr"],"dependent_operators":["L05ObWFQCd","oacrs7FA3X","2Wsdkap16l","zR4jO40bMj","HrjLwUk87U","YSKBFp38Pu","cHh1gJQ2o6","tmPS8pqC7x","YbVcJGFEVW","12rbrZMWeM","DmTXOeWf9t","RhiyfpczSx","uOZ1tnYMDE","7j4O788W3g"],"result":"⋋%⋟102447","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3116","layer":2},{"info":"compute unary expreesion, input=3116, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=3116","layer":1},{"info":"compute unary expreesion, input=3116, 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=60874","layer":0}],"base":9,"result_base":9,"text":"(≋⋋%⋟4242)⊴⇁⪶=⋋%⋟102447","reverse_text":"⋋%⋟102447=(≋⋋%⋟4242)⊴⇁⪶","cot":[{"info":"≋⋋%⋟4242=⋋%⋟4242","layer":1},{"info":"⋋%⋟4242⊴⇁⪶=⋋%⋟102447","layer":0}]}
+{"id":377,"expression_no_base_symbol":"$2460$⪎↠$1047$⋛($1055$⊭↱$4732$)","expression":"⋋%⋟3333⪎↠⋋%⋟1383⋛(⋋%⋟1402⊭↱⋋%⋟6437)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":281,"operation_count":3,"complexity_ratio":93.66666666666667,"tree":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":2460,"base":9},"right_expr":{"type":"numeric_atoms","value":1047,"base":9}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1055,"base":9},"right_expr":{"type":"numeric_atoms","value":4732,"base":9}}},"used_operators":["YbUVn0Rbpy","3tVxb0NHM4","COABgblf1C"],"dependent_operators":["d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd"],"result":"⋋%⋟-210016","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2460","layer":2},{"info":"number node, value=1047","layer":2},{"info":"compute binary expreesion, left_input=2460, right_input=1047, 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=1055","layer":2},{"info":"number node, value=4732","layer":2},{"info":"compute binary expreesion, left_input=1055, right_input=4732, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=7359","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=7359, 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":0}],"base":9,"result_base":9,"text":"⋋%⋟3333⪎↠⋋%⋟1383⋛(⋋%⋟1402⊭↱⋋%⋟6437)=⋋%⋟-210016","reverse_text":"⋋%⋟-210016=⋋%⋟3333⪎↠⋋%⋟1383⋛(⋋%⋟1402⊭↱⋋%⋟6437)","cot":[{"info":"⋋%⋟3333⪎↠⋋%⋟1383=⋋%⋟187","layer":1},{"info":"⋋%⋟1402⊭↱⋋%⋟6437=⋋%⋟11076","layer":1},{"info":"⋋%⋟187⋛⋋%⋟11076=⋋%⋟-210016","layer":0}]}
+{"id":378,"expression_no_base_symbol":"$1217$⪟⇏$1860$⊴($7083$≎⊠⪸$3086$)","expression":"⋋%⋟1602⪟⇏⋋%⋟2486⊴(⋋%⋟10640≎⊠⪸⋋%⋟4208)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":304,"operation_count":3,"complexity_ratio":101.33333333333333,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":1217,"base":9},"right_expr":{"type":"numeric_atoms","value":1860,"base":9}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":7083,"base":9},"right_expr":{"type":"numeric_atoms","value":3086,"base":9}}},"used_operators":["Nsiff2A1zJ","GODebY97qR","bJkvcejdHO"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1217","layer":2},{"info":"number node, value=1860","layer":2},{"info":"compute binary expreesion, left_input=1217, right_input=1860, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":1},{"info":"number node, value=7083","layer":2},{"info":"number node, value=3086","layer":2},{"info":"compute binary expreesion, left_input=7083, right_input=3086, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1834024","layer":1},{"info":"compute binary expreesion, left_input=-1, right_input=1834024, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟1602⪟⇏⋋%⋟2486⊴(⋋%⋟10640≎⊠⪸⋋%⋟4208)=NaN","reverse_text":"NaN=⋋%⋟1602⪟⇏⋋%⋟2486⊴(⋋%⋟10640≎⊠⪸⋋%⋟4208)","cot":[{"info":"⋋%⋟1602⪟⇏⋋%⋟2486=⋋%⋟-1","layer":1},{"info":"⋋%⋟10640≎⊠⪸⋋%⋟4208=⋋%⋟3404724","layer":1},{"info":"⋋%⋟-1⊴⋋%⋟3404724=NaN","layer":0}]}
+{"id":379,"expression_no_base_symbol":"⨂⪏⇭($1376$⫰⋱$2607$)","expression":"⨂⪏⇭(⋋%⋟1788⫰⋱⋋%⋟3516)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":24,"operation_count":2,"complexity_ratio":12.0,"tree":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":1376,"base":9},"right_expr":{"type":"numeric_atoms","value":2607,"base":9}}},"used_operators":["AYdpE9sXAk","6o9Blt3TJ6"],"dependent_operators":["eewbuw0ToL","NTOWxs364D","EBcxylXtPf","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF"],"result":"⋋%⋟-6774","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1376","layer":2},{"info":"number node, value=2607","layer":2},{"info":"compute binary expreesion, left_input=1376, right_input=2607, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-1343","layer":1},{"info":"compute unary expreesion, input=-1343, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=-5008","layer":0}],"base":9,"result_base":9,"text":"⨂⪏⇭(⋋%⋟1788⫰⋱⋋%⋟3516)=⋋%⋟-6774","reverse_text":"⋋%⋟-6774=⨂⪏⇭(⋋%⋟1788⫰⋱⋋%⋟3516)","cot":[{"info":"⋋%⋟1788⫰⋱⋋%⋟3516=⋋%⋟-1752","layer":1},{"info":"⨂⪏⇭⋋%⋟-1752=⋋%⋟-6774","layer":0}]}
+{"id":380,"expression_no_base_symbol":"⊥(⨝⨆$6602$)","expression":"⊥(⨝⨆⋋%⋟10045)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3,"operation_count":2,"complexity_ratio":1.5,"tree":{"type":"unary","operator":"⊥","unary_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"numeric_atoms","value":6602,"base":9}}},"used_operators":["Q3PJZHRvZv","bQ67fsrMVf"],"dependent_operators":["fu6greOZ01","tifHPKVTfV"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=6602","layer":2},{"info":"compute unary expreesion, input=6602, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=6393","layer":1},{"info":"compute unary expreesion, input=6393, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"⊥(⨝⨆⋋%⋟10045)=NaN","reverse_text":"NaN=⊥(⨝⨆⋋%⋟10045)","cot":[{"info":"⨝⨆⋋%⋟10045=⋋%⋟8683","layer":1},{"info":"⊥⋋%⋟8683=NaN","layer":0}]}
+{"id":381,"expression_no_base_symbol":"($3102$⫏⊷)⨻⩈⩔$1230$∓⋝$1839$","expression":"(⋋%⋟4226⫏⊷)⨻⩈⩔⋋%⋟1616∓⋝⋋%⋟2463","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9604,"operation_count":3,"complexity_ratio":3201.3333333333335,"tree":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"unary","operator":"⫏⊷","unary_expr":{"type":"numeric_atoms","value":3102,"base":9}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":1230,"base":9},"right_expr":{"type":"numeric_atoms","value":1839,"base":9}}},"used_operators":["nEsXyWgiOK","dcShxvzhyw","PoHhknlbAi"],"dependent_operators":["D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","FU0Cs4j7VP","7YooWSwCyH","HK0tfVPux8","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz"],"result":"⋋%⋟-213","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3102","layer":2},{"info":"compute unary expreesion, input=3102, op_id = dcShxvzhyw, unary_op_definition = 'a⫏⊷ = { ((224∪⫐a)⊾⪯⋞(a↛⩡⫤)) }', output=-820","layer":1},{"info":"number node, value=1230","layer":2},{"info":"number node, value=1839","layer":2},{"info":"compute binary expreesion, left_input=1230, right_input=1839, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":1},{"info":"compute binary expreesion, left_input=-820, right_input=67, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟4226⫏⊷)⨻⩈⩔⋋%⋟1616∓⋝⋋%⋟2463=⋋%⋟-213","reverse_text":"⋋%⋟-213=(⋋%⋟4226⫏⊷)⨻⩈⩔⋋%⋟1616∓⋝⋋%⋟2463","cot":[{"info":"⋋%⋟4226⫏⊷=⋋%⋟-1111","layer":1},{"info":"⋋%⋟1616∓⋝⋋%⋟2463=⋋%⋟74","layer":1},{"info":"⋋%⋟-1111⨻⩈⩔⋋%⋟74=⋋%⋟-213","layer":0}]}
+{"id":382,"expression_no_base_symbol":"($4940$↫)⪭≯($2297$⩨$3237$)","expression":"(⋋%⋟6688↫)⪭≯(⋋%⋟3132⩨⋋%⋟4386)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":188,"operation_count":3,"complexity_ratio":62.666666666666664,"tree":{"type":"binary","operator":"⪭≯","left_expr":{"type":"unary","operator":"↫","unary_expr":{"type":"numeric_atoms","value":4940,"base":9}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2297,"base":9},"right_expr":{"type":"numeric_atoms","value":3237,"base":9}}},"used_operators":["XAx5wpdLa6","uPb5QRN0te","2DlMacCsIx"],"dependent_operators":["9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","i8ToyICDmI","2DQ55sFlQl","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=4940","layer":2},{"info":"compute unary expreesion, input=4940, op_id = uPb5QRN0te, unary_op_definition = 'a↫ = { (a∲⫓a) , if (-a)>=333 ; (a⨵⪆a) , else }', output=160","layer":1},{"info":"number node, value=2297","layer":2},{"info":"number node, value=3237","layer":2},{"info":"compute binary expreesion, left_input=2297, right_input=3237, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=-3, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟6688↫)⪭≯(⋋%⋟3132⩨⋋%⋟4386)=NaN","reverse_text":"NaN=(⋋%⋟6688↫)⪭≯(⋋%⋟3132⩨⋋%⋟4386)","cot":[{"info":"⋋%⋟6688↫=⋋%⋟187","layer":1},{"info":"⋋%⋟3132⩨⋋%⋟4386=⋋%⋟-3","layer":1},{"info":"⋋%⋟187⪭≯⋋%⋟-3=NaN","layer":0}]}
+{"id":383,"expression_no_base_symbol":"($1813$⋅⇍$2310$)⪕($7734$⇗⋫)","expression":"(⋋%⋟2434⋅⇍⋋%⋟3146)⪕(⋋%⋟11543⇗⋫)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":14,"operation_count":3,"complexity_ratio":4.666666666666667,"tree":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":1813,"base":9},"right_expr":{"type":"numeric_atoms","value":2310,"base":9}},"right_expr":{"type":"unary","operator":"⇗⋫","unary_expr":{"type":"numeric_atoms","value":7734,"base":9}}},"used_operators":["umQnsF7QlU","AdZkA7nFnk","hpqmaQFPrd"],"dependent_operators":["P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","rxpJgHHUmx"],"result":"⋋%⋟1248","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1813","layer":2},{"info":"number node, value=2310","layer":2},{"info":"compute binary expreesion, left_input=1813, right_input=2310, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":1},{"info":"number node, value=7734","layer":2},{"info":"compute unary expreesion, input=7734, op_id = hpqmaQFPrd, unary_op_definition = 'a⇗⋫ = { (a≭a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-22, right_input=nan, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=935","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟2434⋅⇍⋋%⋟3146)⪕(⋋%⋟11543⇗⋫)=⋋%⋟1248","reverse_text":"⋋%⋟1248=(⋋%⋟2434⋅⇍⋋%⋟3146)⪕(⋋%⋟11543⇗⋫)","cot":[{"info":"⋋%⋟2434⋅⇍⋋%⋟3146=⋋%⋟-24","layer":1},{"info":"⋋%⋟11543⇗⋫=NaN","layer":1},{"info":"⋋%⋟-24⪕NaN=⋋%⋟1248","layer":0}]}
+{"id":384,"expression_no_base_symbol":"⫵↿$6532$⪟⇏$4826$","expression":"⫵↿⋋%⋟8857⪟⇏⋋%⋟6552","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":54,"operation_count":2,"complexity_ratio":27.0,"tree":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":6532,"base":9},"right_expr":{"type":"numeric_atoms","value":4826,"base":9}}},"used_operators":["ivGwdmUAux","GODebY97qR"],"dependent_operators":["LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X"],"result":"⋋%⋟162","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=6532","layer":2},{"info":"number node, value=4826","layer":2},{"info":"compute binary expreesion, left_input=6532, right_input=4826, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":1},{"info":"compute unary expreesion, input=-1, op_id = ivGwdmUAux, unary_op_definition = '⫵↿a = { ((a⫃⨇256)∽(a∀⇚≩66)) , if (⇨a)>=1 ; (↯⪼(a⨫⇇↔a)) , else }', output=137","layer":0}],"base":9,"result_base":9,"text":"⫵↿⋋%⋟8857⪟⇏⋋%⋟6552=⋋%⋟162","reverse_text":"⋋%⋟162=⫵↿⋋%⋟8857⪟⇏⋋%⋟6552","cot":[{"info":"⋋%⋟8857⪟⇏⋋%⋟6552=⋋%⋟-1","layer":1},{"info":"⫵↿⋋%⋟-1=⋋%⋟162","layer":0}]}
+{"id":385,"expression_no_base_symbol":"(��⨃⇪$1092$)⪚($3560$≭$4196$)","expression":"(⨣⨃⇪⋋%⋟1443)⪚(⋋%⋟4785≭⋋%⋟5672)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":36,"operation_count":3,"complexity_ratio":12.0,"tree":{"type":"binary","operator":"⪚","left_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"numeric_atoms","value":1092,"base":9}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3560,"base":9},"right_expr":{"type":"numeric_atoms","value":4196,"base":9}}},"used_operators":["HrjLwUk87U","AcOhelriW5","rxpJgHHUmx"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1092","layer":2},{"info":"compute unary expreesion, input=1092, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":1},{"info":"number node, value=3560","layer":2},{"info":"number node, value=4196","layer":2},{"info":"compute binary expreesion, left_input=3560, right_input=4196, 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=1405, right_input=nan, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(⨣⨃⇪⋋%⋟1443)⪚(⋋%⋟4785≭⋋%⋟5672)=NaN","reverse_text":"NaN=(⨣⨃⇪⋋%⋟1443)⪚(⋋%⋟4785≭⋋%⋟5672)","cot":[{"info":"⨣⨃⇪⋋%⋟1443=⋋%⋟1831","layer":1},{"info":"⋋%⋟4785≭⋋%⋟5672=NaN","layer":1},{"info":"⋋%⋟1831⪚NaN=NaN","layer":0}]}
+{"id":386,"expression_no_base_symbol":"$1174$⨚$1094$≠≀($2662$⩒⫫$3533$)","expression":"⋋%⋟1544⨚⋋%⋟1445≠≀(⋋%⋟3577⩒⫫⋋%⋟4755)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":53,"operation_count":3,"complexity_ratio":17.666666666666668,"tree":{"type":"binary","operator":"≠≀","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":1174,"base":9},"right_expr":{"type":"numeric_atoms","value":1094,"base":9}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":2662,"base":9},"right_expr":{"type":"numeric_atoms","value":3533,"base":9}}},"used_operators":["IwW236VD4Y","nREPSIbpBE","KFSx94NKJn"],"dependent_operators":["eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","BjRHVeLaeN","12rbrZMWeM","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP"],"result":"⋋%⋟3371","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1174","layer":2},{"info":"number node, value=1094","layer":2},{"info":"compute binary expreesion, left_input=1174, right_input=1094, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-1094","layer":1},{"info":"number node, value=2662","layer":2},{"info":"number node, value=3533","layer":2},{"info":"compute binary expreesion, left_input=2662, right_input=3533, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=2360","layer":1},{"info":"compute binary expreesion, left_input=-1094, right_input=2360, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=2494","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟1544⨚⋋%⋟1445≠≀(⋋%⋟3577⩒⫫⋋%⋟4755)=⋋%⋟3371","reverse_text":"⋋%⋟3371=⋋%⋟1544⨚⋋%⋟1445≠≀(⋋%⋟3577⩒⫫⋋%⋟4755)","cot":[{"info":"⋋%⋟1544⨚⋋%⋟1445=⋋%⋟-1445","layer":1},{"info":"⋋%⋟3577⩒⫫⋋%⋟4755=⋋%⋟3212","layer":1},{"info":"⋋%⋟-1445≠≀⋋%⋟3212=⋋%⋟3371","layer":0}]}
+{"id":387,"expression_no_base_symbol":"($6141$≄⊠$3124$)↳∿⪆($1004$∼$7302$)","expression":"(⋋%⋟8373≄⊠⋋%⋟4251)↳∿⪆(⋋%⋟1335∼⋋%⋟11013)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2419,"operation_count":3,"complexity_ratio":806.3333333333334,"tree":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":6141,"base":9},"right_expr":{"type":"numeric_atoms","value":3124,"base":9}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1004,"base":9},"right_expr":{"type":"numeric_atoms","value":7302,"base":9}}},"used_operators":["Cw4SuJJGHO","vXNesLlMH1","DyGG3AbaNP"],"dependent_operators":["hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=6141","layer":2},{"info":"number node, value=3124","layer":2},{"info":"compute binary expreesion, left_input=6141, right_input=3124, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=54652","layer":1},{"info":"number node, value=1004","layer":2},{"info":"number node, value=7302","layer":2},{"info":"compute binary expreesion, left_input=1004, right_input=7302, 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=54652, right_input=nan, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟8373≄⊠⋋%⋟4251)↳∿⪆(⋋%⋟1335∼⋋%⋟11013)=NaN","reverse_text":"NaN=(⋋%⋟8373≄⊠⋋%⋟4251)↳∿⪆(⋋%⋟1335∼⋋%⋟11013)","cot":[{"info":"⋋%⋟8373≄⊠⋋%⋟4251=⋋%⋟82864","layer":1},{"info":"⋋%⋟1335∼⋋%⋟11013=NaN","layer":1},{"info":"⋋%⋟82864↳∿⪆NaN=NaN","layer":0}]}
+{"id":388,"expression_no_base_symbol":"($4865$⋥≓≎$5100$)≠≀($3120$⇚⪠)","expression":"(⋋%⋟6605⋥≓≎⋋%⋟6886)≠≀(⋋%⋟4246⇚⪠)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3154,"operation_count":3,"complexity_ratio":1051.3333333333333,"tree":{"type":"binary","operator":"≠≀","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":4865,"base":9},"right_expr":{"type":"numeric_atoms","value":5100,"base":9}},"right_expr":{"type":"unary","operator":"⇚⪠","unary_expr":{"type":"numeric_atoms","value":3120,"base":9}}},"used_operators":["IwW236VD4Y","Qy55tPpLXF","Loh9y4A90B"],"dependent_operators":["eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Z5m6OM72h2","9HNa5Wba9A","ztP7wcbY7m"],"result":"⋋%⋟-15268","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=4865","layer":2},{"info":"number node, value=5100","layer":2},{"info":"compute binary expreesion, left_input=4865, right_input=5100, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=5368","layer":1},{"info":"number node, value=3120","layer":2},{"info":"compute unary expreesion, input=3120, op_id = Loh9y4A90B, unary_op_definition = 'a⇚⪠ = { ((a∘(a∈))*a) }', output=19468800","layer":1},{"info":"compute binary expreesion, left_input=5368, right_input=19468800, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-10430","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟6605⋥≓≎⋋%⋟6886)≠≀(⋋%⋟4246⇚⪠)=⋋%⋟-15268","reverse_text":"⋋%⋟-15268=(⋋%⋟6605⋥≓≎⋋%⋟6886)≠≀(⋋%⋟4246⇚⪠)","cot":[{"info":"⋋%⋟6605⋥≓≎⋋%⋟6886=⋋%⋟7324","layer":1},{"info":"⋋%⋟4246⇚⪠=⋋%⋟40563150","layer":1},{"info":"⋋%⋟7324≠≀⋋%⋟40563150=⋋%⋟-15268","layer":0}]}
+{"id":389,"expression_no_base_symbol":"(⊆⋠$2604$)∺≝⩲$1425$⨿$1818$","expression":"(⊆⋠⋋%⋟3513)∺≝⩲⋋%⋟1853⨿⋋%⋟2440","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":260,"operation_count":3,"complexity_ratio":86.66666666666667,"tree":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"numeric_atoms","value":2604,"base":9}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":1425,"base":9},"right_expr":{"type":"numeric_atoms","value":1818,"base":9}}},"used_operators":["KPf6cnQVty","EBhcHTkKd8","abYXlopdE0"],"dependent_operators":["BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi"],"result":"⋋%⋟187","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=2604","layer":2},{"info":"compute unary expreesion, input=2604, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=0","layer":1},{"info":"number node, value=1425","layer":2},{"info":"number node, value=1818","layer":2},{"info":"compute binary expreesion, left_input=1425, right_input=1818, 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=0, right_input=-319, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":0}],"base":9,"result_base":9,"text":"(⊆⋠⋋%⋟3513)∺≝⩲⋋%⋟1853⨿⋋%⋟2440=⋋%⋟187","reverse_text":"⋋%⋟187=(⊆⋠⋋%⋟3513)∺≝⩲⋋%⋟1853⨿⋋%⋟2440","cot":[{"info":"⊆⋠⋋%⋟3513=⋋%⋟0","layer":1},{"info":"⋋%⋟1853⨿⋋%⋟2440=⋋%⋟-384","layer":1},{"info":"⋋%⋟0∺≝⩲⋋%⋟-384=⋋%⋟187","layer":0}]}
+{"id":390,"expression_no_base_symbol":"(⇤←$1059$)⪃⊛⇣($1246$⨐⩸⫘$2654$)","expression":"(⇤←⋋%⋟1406)⪃⊛⇣(⋋%⋟1634⨐⩸⫘⋋%⋟3568)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":621,"operation_count":3,"complexity_ratio":207.0,"tree":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"numeric_atoms","value":1059,"base":9}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1246,"base":9},"right_expr":{"type":"numeric_atoms","value":2654,"base":9}}},"used_operators":["rrgAzCduG9","jfAgQ2OQeM","fu6greOZ01"],"dependent_operators":["Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","3ViojmjbAp"],"result":"⋋%⋟1621","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1059","layer":2},{"info":"compute unary expreesion, input=1059, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=-3929","layer":1},{"info":"number node, value=1246","layer":2},{"info":"number node, value=2654","layer":2},{"info":"compute binary expreesion, left_input=1246, right_input=2654, 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=-3929, 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":9,"result_base":9,"text":"(⇤←⋋%⋟1406)⪃⊛⇣(⋋%⋟1634⨐⩸⫘⋋%⋟3568)=⋋%⋟1621","reverse_text":"⋋%⋟1621=(⇤←⋋%⋟1406)⪃⊛⇣(⋋%⋟1634⨐⩸⫘⋋%⋟3568)","cot":[{"info":"⇤←⋋%⋟1406=⋋%⋟-5345","layer":1},{"info":"⋋%⋟1634⨐⩸⫘⋋%⋟3568=NaN","layer":1},{"info":"⋋%⋟-5345⪃⊛⇣NaN=⋋%⋟1621","layer":0}]}
+{"id":391,"expression_no_base_symbol":"($1920$⊭↱$4526$)⨚⇆$1149$⊝⪿⪼$1419$","expression":"(⋋%⋟2563⊭↱⋋%⋟6178)⨚⇆⋋%⋟1516⊝⪿⪼⋋%⋟1846","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":36580,"operation_count":3,"complexity_ratio":12193.333333333334,"tree":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1920,"base":9},"right_expr":{"type":"numeric_atoms","value":4526,"base":9}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":1149,"base":9},"right_expr":{"type":"numeric_atoms","value":1419,"base":9}}},"used_operators":["lwHaAYXP2r","COABgblf1C","3Oe9XWJUTD"],"dependent_operators":["gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1920","layer":2},{"info":"number node, value=4526","layer":2},{"info":"compute binary expreesion, left_input=1920, right_input=4526, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=5217","layer":1},{"info":"number node, value=1149","layer":2},{"info":"number node, value=1419","layer":2},{"info":"compute binary expreesion, left_input=1149, right_input=1419, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=21943","layer":1},{"info":"compute binary expreesion, left_input=5217, right_input=21943, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟2563⊭↱⋋%⋟6178)⨚⇆⋋%⋟1516⊝⪿⪼⋋%⋟1846=NaN","reverse_text":"NaN=(⋋%⋟2563⊭↱⋋%⋟6178)⨚⇆⋋%⋟1516⊝⪿⪼⋋%⋟1846","cot":[{"info":"⋋%⋟2563⊭↱⋋%⋟6178=⋋%⋟7136","layer":1},{"info":"⋋%⋟1516⊝⪿⪼⋋%⋟1846=⋋%⋟33081","layer":1},{"info":"⋋%⋟7136⨚⇆⋋%⋟33081=NaN","layer":0}]}
+{"id":392,"expression_no_base_symbol":"↘($2065$⪘⫢$1595$)","expression":"↘(⋋%⋟2744⪘⫢⋋%⋟2162)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":28,"operation_count":2,"complexity_ratio":14.0,"tree":{"type":"unary","operator":"↘","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2065,"base":9},"right_expr":{"type":"numeric_atoms","value":1595,"base":9}}},"used_operators":["LdNpr8hQHL","oacrs7FA3X"],"dependent_operators":["uFcxV4UQCh","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"⋋%⋟105","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=2065","layer":2},{"info":"number node, value=1595","layer":2},{"info":"compute binary expreesion, left_input=2065, right_input=1595, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=4006","layer":1},{"info":"compute unary expreesion, input=4006, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=86","layer":0}],"base":9,"result_base":9,"text":"↘(⋋%⋟2744⪘⫢⋋%⋟2162)=⋋%⋟105","reverse_text":"⋋%⋟105=↘(⋋%⋟2744⪘⫢⋋%⋟2162)","cot":[{"info":"⋋%⋟2744⪘⫢⋋%⋟2162=⋋%⋟5441","layer":1},{"info":"↘⋋%⋟5441=⋋%⋟105","layer":0}]}
+{"id":393,"expression_no_base_symbol":"(⪁⇼$1199$)⨭⪣$3272$⇤$1797$","expression":"(⪁⇼⋋%⋟1572)⨭⪣⋋%⋟4435⇤⋋%⋟2416","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":60,"operation_count":3,"complexity_ratio":20.0,"tree":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"numeric_atoms","value":1199,"base":9}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":3272,"base":9},"right_expr":{"type":"numeric_atoms","value":1797,"base":9}}},"used_operators":["kn8WO9XteQ","ZNVVrZ94lY","YSKBFp38Pu"],"dependent_operators":["vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q"],"result":"⋋%⋟-1152","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1199","layer":2},{"info":"compute unary expreesion, input=1199, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":1},{"info":"number node, value=3272","layer":2},{"info":"number node, value=1797","layer":2},{"info":"compute binary expreesion, left_input=3272, right_input=1797, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-22497","layer":1},{"info":"compute binary expreesion, left_input=422, right_input=-22497, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-857","layer":0}],"base":9,"result_base":9,"text":"(⪁⇼⋋%⋟1572)⨭⪣⋋%⋟4435⇤⋋%⋟2416=⋋%⋟-1152","reverse_text":"⋋%⋟-1152=(⪁⇼⋋%⋟1572)⨭⪣⋋%⋟4435⇤⋋%⋟2416","cot":[{"info":"⪁⇼⋋%⋟1572=⋋%⋟518","layer":1},{"info":"⋋%⋟4435⇤⋋%⋟2416=⋋%⋟-33766","layer":1},{"info":"⋋%⋟518⨭⪣⋋%⋟-33766=⋋%⋟-1152","layer":0}]}
+{"id":394,"expression_no_base_symbol":"($2235$↸$1550$)⨔≚≋$4358$⨚⇆$7609$","expression":"(⋋%⋟3053↸⋋%⋟2112)⨔≚≋⋋%⋟5872⨚⇆⋋%⋟11384","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":32131,"operation_count":3,"complexity_ratio":10710.333333333334,"tree":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":2235,"base":9},"right_expr":{"type":"numeric_atoms","value":1550,"base":9}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":4358,"base":9},"right_expr":{"type":"numeric_atoms","value":7609,"base":9}}},"used_operators":["Z57zeUYC9z","1eCjFl0mb9","lwHaAYXP2r"],"dependent_operators":["zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=2235","layer":2},{"info":"number node, value=1550","layer":2},{"info":"compute binary expreesion, left_input=2235, right_input=1550, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=2235","layer":1},{"info":"number node, value=4358","layer":2},{"info":"number node, value=7609","layer":2},{"info":"compute binary expreesion, left_input=4358, right_input=7609, 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=2235, right_input=nan, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟3053↸⋋%⋟2112)⨔≚≋⋋%⋟5872⨚⇆⋋%⋟11384=NaN","reverse_text":"NaN=(⋋%⋟3053↸⋋%⋟2112)⨔≚≋⋋%⋟5872⨚⇆⋋%⋟11384","cot":[{"info":"⋋%⋟3053↸⋋%⋟2112=⋋%⋟3053","layer":1},{"info":"⋋%⋟5872⨚⇆⋋%⋟11384=NaN","layer":1},{"info":"⋋%⋟3053⨔≚≋NaN=NaN","layer":0}]}
+{"id":395,"expression_no_base_symbol":"$1004$⫣⪄⊒$1019$⫁⪎($2337$⪠⩆⊳)","expression":"⋋%⋟1335⫣⪄⊒⋋%⋟1352⫁⪎(⋋%⋟3176⪠⩆⊳)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":43,"operation_count":3,"complexity_ratio":14.333333333333334,"tree":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":1004,"base":9},"right_expr":{"type":"numeric_atoms","value":1019,"base":9}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":2337,"base":9}}},"used_operators":["xRrnTEsQ6j","RabNbG55vr","JLbD19bQDL"],"dependent_operators":["P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⋋%⋟-6301","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1004","layer":2},{"info":"number node, value=1019","layer":2},{"info":"compute binary expreesion, left_input=1004, right_input=1019, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-4618","layer":1},{"info":"number node, value=2337","layer":2},{"info":"compute unary expreesion, input=2337, 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":1},{"info":"compute binary expreesion, left_input=-4618, right_input=0, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-4618","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟1335⫣⪄⊒⋋%⋟1352⫁⪎(⋋%⋟3176⪠⩆⊳)=⋋%⋟-6301","reverse_text":"⋋%⋟-6301=⋋%⋟1335⫣⪄⊒⋋%⋟1352⫁⪎(⋋%⋟3176⪠⩆⊳)","cot":[{"info":"⋋%⋟1335⫣⪄⊒⋋%⋟1352=⋋%⋟-6301","layer":1},{"info":"⋋%⋟3176⪠⩆⊳=⋋%⋟0","layer":1},{"info":"⋋%⋟-6301⫁⪎⋋%⋟0=⋋%⋟-6301","layer":0}]}
+{"id":396,"expression_no_base_symbol":"$2873$⫘$6467$⪔$5057$⨽∌$1793$","expression":"⋋%⋟3842⫘⋋%⋟8775⪔⋋%⋟6838⨽∌⋋%⋟2412","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3248,"operation_count":3,"complexity_ratio":1082.6666666666667,"tree":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":2873,"base":9},"right_expr":{"type":"numeric_atoms","value":6467,"base":9}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":5057,"base":9},"right_expr":{"type":"numeric_atoms","value":1793,"base":9}}},"used_operators":["GjBEYRfMaF","48vC8HMD2b","9samAPKr6k"],"dependent_operators":["YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu"],"result":"⋋%⋟-10241","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2873","layer":2},{"info":"number node, value=6467","layer":2},{"info":"compute binary expreesion, left_input=2873, right_input=6467, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=3383053","layer":1},{"info":"number node, value=5057","layer":2},{"info":"number node, value=1793","layer":2},{"info":"compute binary expreesion, left_input=5057, right_input=1793, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=3383053, right_input=0, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=-6760","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟3842⫘⋋%⋟8775⪔⋋%⋟6838⨽∌⋋%⋟2412=⋋%⋟-10241","reverse_text":"⋋%⋟-10241=⋋%⋟3842⫘⋋%⋟8775⪔⋋%⋟6838⨽∌⋋%⋟2412","cot":[{"info":"⋋%⋟3842⫘⋋%⋟8775=⋋%⋟6325607","layer":1},{"info":"⋋%⋟6838⨽∌⋋%⋟2412=⋋%⋟0","layer":1},{"info":"⋋%⋟6325607⪔⋋%⋟0=⋋%⋟-10241","layer":0}]}
+{"id":397,"expression_no_base_symbol":"($3076$∋$1754$)⨔⇊($1444$⪢$3261$)","expression":"(⋋%⋟4187∋⋋%⋟2358)⨔⇊(⋋%⋟1874⪢⋋%⋟4423)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3372,"operation_count":3,"complexity_ratio":1124.0,"tree":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":3076,"base":9},"right_expr":{"type":"numeric_atoms","value":1754,"base":9}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1444,"base":9},"right_expr":{"type":"numeric_atoms","value":3261,"base":9}}},"used_operators":["JclMnS0uGI","ukq6epAj5P","dWAJyo7jo9"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3076","layer":2},{"info":"number node, value=1754","layer":2},{"info":"compute binary expreesion, left_input=3076, right_input=1754, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=3740568","layer":1},{"info":"number node, value=1444","layer":2},{"info":"number node, value=3261","layer":2},{"info":"compute binary expreesion, left_input=1444, right_input=3261, 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=3740568, 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":9,"result_base":9,"text":"(⋋%⋟4187∋⋋%⋟2358)⨔⇊(⋋%⋟1874⪢⋋%⋟4423)=NaN","reverse_text":"NaN=(⋋%⋟4187∋⋋%⋟2358)⨔⇊(⋋%⋟1874⪢⋋%⋟4423)","cot":[{"info":"⋋%⋟4187∋⋋%⋟2358=⋋%⋟7031076","layer":1},{"info":"⋋%⋟1874⪢⋋%⋟4423=NaN","layer":1},{"info":"⋋%⋟7031076⨔⇊NaN=NaN","layer":0}]}
+{"id":398,"expression_no_base_symbol":"⪓⩚($1485$⋥≓≎$2569$)","expression":"⪓⩚(⋋%⋟2030⋥≓≎⋋%⋟3464)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3370,"operation_count":2,"complexity_ratio":1685.0,"tree":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1485,"base":9},"right_expr":{"type":"numeric_atoms","value":2569,"base":9}}},"used_operators":["u0R0Locfp2","Qy55tPpLXF"],"dependent_operators":["6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⋋%⋟523","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1485","layer":2},{"info":"number node, value=2569","layer":2},{"info":"compute binary expreesion, left_input=1485, right_input=2569, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=3686","layer":1},{"info":"compute unary expreesion, input=3686, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":0}],"base":9,"result_base":9,"text":"⪓⩚(⋋%⋟2030⋥≓≎⋋%⋟3464)=⋋%⋟523","reverse_text":"⋋%⋟523=⪓⩚(⋋%⋟2030⋥≓≎⋋%⋟3464)","cot":[{"info":"⋋%⋟2030⋥≓≎⋋%⋟3464=⋋%⋟5045","layer":1},{"info":"⪓⩚⋋%⋟5045=⋋%⋟523","layer":0}]}
+{"id":399,"expression_no_base_symbol":"($1981$⫠)⨭⪣(⊀$2653$)","expression":"(⋋%⋟2641⫠)⨭⪣(⊀⋋%⋟3567)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":27816,"operation_count":3,"complexity_ratio":9272.0,"tree":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"unary","operator":"⫠","unary_expr":{"type":"numeric_atoms","value":1981,"base":9}},"right_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"numeric_atoms","value":2653,"base":9}}},"used_operators":["kn8WO9XteQ","6SnOT2rOjz","oPMjh9089D"],"dependent_operators":["vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","Bmrmz2XGnR","tmPS8pqC7x","mp7IySMOzn","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q"],"result":"⋋%⋟-387","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1981","layer":2},{"info":"compute unary expreesion, input=1981, op_id = 6SnOT2rOjz, unary_op_definition = 'a⫠ = { ((a⇷0)⨪↰⇹(a≚⊃≕a)) }', output=0","layer":1},{"info":"number node, value=2653","layer":2},{"info":"compute unary expreesion, input=2653, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=10350","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=10350, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-322","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟2641⫠)⨭⪣(⊀⋋%⋟3567)=⋋%⋟-387","reverse_text":"⋋%⋟-387=(⋋%⋟2641⫠)⨭⪣(⊀⋋%⋟3567)","cot":[{"info":"⋋%⋟2641⫠=⋋%⋟0","layer":1},{"info":"⊀⋋%⋟3567=⋋%⋟15170","layer":1},{"info":"⋋%⋟0⨭⪣⋋%⋟15170=⋋%⋟-387","layer":0}]}
+{"id":400,"expression_no_base_symbol":"$3100$⪛$5324$≄⊠$8242$∣$6056$","expression":"⋋%⋟4224⪛⋋%⋟7265≄⊠⋋%⋟12267∣⋋%⋟8268","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":63,"operation_count":3,"complexity_ratio":21.0,"tree":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3100,"base":9},"right_expr":{"type":"numeric_atoms","value":5324,"base":9}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":8242,"base":9},"right_expr":{"type":"numeric_atoms","value":6056,"base":9}}},"used_operators":["vXNesLlMH1","uFcxV4UQCh","PPChnnnBFF"],"dependent_operators":["d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI"],"result":"⋋%⋟227261","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3100","layer":2},{"info":"number node, value=5324","layer":2},{"info":"compute binary expreesion, left_input=3100, right_input=5324, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=3100","layer":1},{"info":"number node, value=8242","layer":2},{"info":"number node, value=6056","layer":2},{"info":"compute binary expreesion, left_input=8242, right_input=6056, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=8242","layer":1},{"info":"compute binary expreesion, left_input=3100, right_input=8242, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=136540","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟4224⪛⋋%⋟7265≄⊠⋋%⋟12267∣⋋%⋟8268=⋋%⋟227261","reverse_text":"⋋%⋟227261=⋋%⋟4224⪛⋋%⋟7265≄⊠⋋%⋟12267∣⋋%⋟8268","cot":[{"info":"⋋%⋟4224⪛⋋%⋟7265=⋋%⋟4224","layer":1},{"info":"⋋%⋟12267∣⋋%⋟8268=⋋%⋟12267","layer":1},{"info":"⋋%⋟4224≄⊠⋋%⋟12267=⋋%⋟227261","layer":0}]}
+{"id":401,"expression_no_base_symbol":"$5083$⊮⊟↴$3329$↫","expression":"⋋%⋟6867⊮⊟↴⋋%⋟4508↫","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":43,"operation_count":2,"complexity_ratio":21.5,"tree":{"type":"unary","operator":"↫","unary_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":5083,"base":9},"right_expr":{"type":"numeric_atoms","value":3329,"base":9}}},"used_operators":["uPb5QRN0te","QDVgd2eftb"],"dependent_operators":["i8ToyICDmI","2DQ55sFlQl","t8gj7n24qd","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK"],"result":"⋋%⋟187","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=5083","layer":2},{"info":"number node, value=3329","layer":2},{"info":"compute binary expreesion, left_input=5083, right_input=3329, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = uPb5QRN0te, unary_op_definition = 'a↫ = { (a∲⫓a) , if (-a)>=333 ; (a⨵⪆a) , else }', output=160","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟6867⊮⊟↴⋋%⋟4508↫=⋋%⋟187","reverse_text":"⋋%⋟187=⋋%⋟6867⊮⊟↴⋋%⋟4508↫","cot":[{"info":"⋋%⋟6867⊮⊟↴⋋%⋟4508=⋋%⋟0","layer":1},{"info":"⋋%⋟0↫=⋋%⋟187","layer":0}]}
+{"id":402,"expression_no_base_symbol":"↨($1185$⇮⋭$2513$)","expression":"↨(⋋%⋟1556⇮⋭⋋%⋟3402)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2596,"operation_count":2,"complexity_ratio":1298.0,"tree":{"type":"unary","operator":"↨","unary_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":1185,"base":9},"right_expr":{"type":"numeric_atoms","value":2513,"base":9}}},"used_operators":["jiX4gk2v2Q","vkpjKywKVM"],"dependent_operators":["rGHVDoGpnC","oZj3VtZNQx","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW"],"result":"⋋%⋟0","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1185","layer":2},{"info":"number node, value=2513","layer":2},{"info":"compute binary expreesion, left_input=1185, right_input=2513, 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 = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=0","layer":0}],"base":9,"result_base":9,"text":"↨(⋋%⋟1556⇮⋭⋋%⋟3402)=⋋%⋟0","reverse_text":"⋋%⋟0=↨(⋋%⋟1556⇮⋭⋋%⋟3402)","cot":[{"info":"⋋%⋟1556⇮⋭⋋%⋟3402=⋋%⋟-575","layer":1},{"info":"↨⋋%⋟-575=⋋%⋟0","layer":0}]}
+{"id":403,"expression_no_base_symbol":"($4996$⨚$8146$)⫿","expression":"(⋋%⋟6761⨚⋋%⋟12151)⫿","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":19,"operation_count":2,"complexity_ratio":9.5,"tree":{"type":"unary","operator":"⫿","unary_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":4996,"base":9},"right_expr":{"type":"numeric_atoms","value":8146,"base":9}}},"used_operators":["9tKT6PmtkH","nREPSIbpBE"],"dependent_operators":["DpFCA1CohY","9ICcGScMcE","f6k1SAg4EE","BjRHVeLaeN","12rbrZMWeM"],"result":"⋋%⋟65368","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=4996","layer":2},{"info":"number node, value=8146","layer":2},{"info":"compute binary expreesion, left_input=4996, right_input=8146, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-21658","layer":1},{"info":"compute unary expreesion, input=-21658, op_id = 9tKT6PmtkH, unary_op_definition = 'a⫿ = { (≦∁a) , if (⋗⩬⋾a)<1 ; (a⪒a) , else }', output=43316","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟6761⨚⋋%⋟12151)⫿=⋋%⋟65368","reverse_text":"⋋%⋟65368=(⋋%⋟6761⨚⋋%⋟12151)⫿","cot":[{"info":"⋋%⋟6761⨚⋋%⋟12151=⋋%⋟-32634","layer":1},{"info":"⋋%⋟-32634⫿=⋋%⋟65368","layer":0}]}
+{"id":404,"expression_no_base_symbol":"($2503$⫰⋱$4029$)∀⇚≩$1021$∼$8465$","expression":"(⋋%⋟3381⫰⋱⋋%⋟5466)∀⇚≩⋋%⋟1354∼⋋%⋟12545","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":17320,"operation_count":3,"complexity_ratio":5773.333333333333,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":2503,"base":9},"right_expr":{"type":"numeric_atoms","value":4029,"base":9}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1021,"base":9},"right_expr":{"type":"numeric_atoms","value":8465,"base":9}}},"used_operators":["LRNGc0VcxI","6o9Blt3TJ6","DyGG3AbaNP"],"dependent_operators":["X99M06cbEe","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2503","layer":2},{"info":"number node, value=4029","layer":2},{"info":"compute binary expreesion, left_input=2503, right_input=4029, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-2470","layer":1},{"info":"number node, value=1021","layer":2},{"info":"number node, value=8465","layer":2},{"info":"compute binary expreesion, left_input=1021, right_input=8465, 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=-2470, 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":9,"result_base":9,"text":"(⋋%⋟3381⫰⋱⋋%⋟5466)∀⇚≩⋋%⋟1354∼⋋%⋟12545=NaN","reverse_text":"NaN=(⋋%⋟3381⫰⋱⋋%⋟5466)∀⇚≩⋋%⋟1354∼⋋%⋟12545","cot":[{"info":"⋋%⋟3381⫰⋱⋋%⋟5466=⋋%⋟-3344","layer":1},{"info":"⋋%⋟1354∼⋋%⋟12545=NaN","layer":1},{"info":"⋋%⋟-3344∀⇚≩NaN=NaN","layer":0}]}
+{"id":405,"expression_no_base_symbol":"($3573$⪨≂$2486$)⪔(⊑$1161$)","expression":"(⋋%⋟4810⪨≂⋋%⋟3362)⪔(⊑⋋%⋟1530)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":702,"operation_count":3,"complexity_ratio":234.0,"tree":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":3573,"base":9},"right_expr":{"type":"numeric_atoms","value":2486,"base":9}},"right_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"numeric_atoms","value":1161,"base":9}}},"used_operators":["GjBEYRfMaF","sdazOOVcIp","IkUmn0D7oy"],"dependent_operators":["YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","rysDP5nf3Z","t8gj7n24qd","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl"],"result":"⋋%⋟550","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=3573","layer":2},{"info":"number node, value=2486","layer":2},{"info":"compute binary expreesion, left_input=3573, right_input=2486, 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=2276","layer":1},{"info":"number node, value=1161","layer":2},{"info":"compute unary expreesion, input=1161, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":1},{"info":"compute binary expreesion, left_input=2276, right_input=192, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟4810⪨≂⋋%⋟3362)⪔(⊑⋋%⋟1530)=⋋%⋟550","reverse_text":"⋋%⋟550=(⋋%⋟4810⪨≂⋋%⋟3362)⪔(⊑⋋%⋟1530)","cot":[{"info":"⋋%⋟4810⪨≂⋋%⋟3362=⋋%⋟3108","layer":1},{"info":"⊑⋋%⋟1530=⋋%⋟233","layer":1},{"info":"⋋%⋟3108⪔⋋%⋟233=⋋%⋟550","layer":0}]}
+{"id":406,"expression_no_base_symbol":"($5465$⨝⩣∺)⩚⊴⇥$8934$⇴$3975$","expression":"(⋋%⋟7442⨝⩣∺)⩚⊴⇥⋋%⋟13226⇴⋋%⋟5406","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":20,"operation_count":3,"complexity_ratio":6.666666666666667,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⨝⩣∺","unary_expr":{"type":"numeric_atoms","value":5465,"base":9}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":8934,"base":9},"right_expr":{"type":"numeric_atoms","value":3975,"base":9}}},"used_operators":["NTOWxs364D","ancx8kZcWl","4JB6nKBMSY"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","DZ8iAZOCBD","t8gj7n24qd","sdazOOVcIp","NTOWxs364D","COABgblf1C"],"result":"⋋%⋟-76064","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=5465","layer":2},{"info":"compute unary expreesion, input=5465, op_id = ancx8kZcWl, unary_op_definition = 'a⨝⩣∺ = { (-(a⊉≛↸a)) }', output=-10930","layer":1},{"info":"number node, value=8934","layer":2},{"info":"number node, value=3975","layer":2},{"info":"compute binary expreesion, left_input=8934, right_input=3975, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=61168","layer":1},{"info":"compute binary expreesion, left_input=-10930, right_input=61168, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-50359","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟7442⨝⩣∺)⩚⊴⇥⋋%⋟13226⇴⋋%⋟5406=⋋%⋟-76064","reverse_text":"⋋%⋟-76064=(⋋%⋟7442⨝⩣∺)⩚⊴⇥⋋%⋟13226⇴⋋%⋟5406","cot":[{"info":"⋋%⋟7442⨝⩣∺=⋋%⋟-15884","layer":1},{"info":"⋋%⋟13226⇴⋋%⋟5406=⋋%⋟102814","layer":1},{"info":"⋋%⋟-15884⩚⊴⇥⋋%⋟102814=⋋%⋟-76064","layer":0}]}
+{"id":407,"expression_no_base_symbol":"($1051$⊋≦⊧$3735$)↹⊜($3136$≧⫂∧$1156$)","expression":"(⋋%⋟1387⊋≦⊧⋋%⋟5110)↹⊜(⋋%⋟4264≧⫂∧⋋%⋟1524)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":42,"operation_count":3,"complexity_ratio":14.0,"tree":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":1051,"base":9},"right_expr":{"type":"numeric_atoms","value":3735,"base":9}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":3136,"base":9},"right_expr":{"type":"numeric_atoms","value":1156,"base":9}}},"used_operators":["9bazX3JMtO","oRDoc9rAEX","Ph9nP6C5qx"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","rysDP5nf3Z","t8gj7n24qd"],"result":"⋋%⋟-7557","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1051","layer":2},{"info":"number node, value=3735","layer":2},{"info":"compute binary expreesion, left_input=1051, right_input=3735, 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=-4546","layer":1},{"info":"number node, value=3136","layer":2},{"info":"number node, value=1156","layer":2},{"info":"compute binary expreesion, left_input=3136, right_input=1156, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=683","layer":1},{"info":"compute binary expreesion, left_input=-4546, right_input=683, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-5560","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟1387⊋≦⊧⋋%⋟5110)↹⊜(⋋%⋟4264≧⫂∧⋋%⋟1524)=⋋%⋟-7557","reverse_text":"⋋%⋟-7557=(⋋%⋟1387⊋≦⊧⋋%⋟5110)↹⊜(⋋%⋟4264≧⫂∧⋋%⋟1524)","cot":[{"info":"⋋%⋟1387⊋≦⊧⋋%⋟5110=⋋%⋟-6211","layer":1},{"info":"⋋%⋟4264≧⫂∧⋋%⋟1524=⋋%⋟838","layer":1},{"info":"⋋%⋟-6211↹⊜⋋%⋟838=⋋%⋟-7557","layer":0}]}
+{"id":408,"expression_no_base_symbol":"⋗⩴⪓($1470$⪭$3779$)","expression":"⋗⩴⪓(⋋%⋟2013⪭⋋%⋟5158)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":55,"operation_count":2,"complexity_ratio":27.5,"tree":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":1470,"base":9},"right_expr":{"type":"numeric_atoms","value":3779,"base":9}}},"used_operators":["nOKPl9n5zu","j9kHMeSvPp"],"dependent_operators":["Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","COABgblf1C","xUOZtlo3hN"],"result":"⋋%⋟1218","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1470","layer":2},{"info":"number node, value=3779","layer":2},{"info":"compute binary expreesion, left_input=1470, right_input=3779, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":1},{"info":"compute unary expreesion, input=5, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=908","layer":0}],"base":9,"result_base":9,"text":"⋗⩴⪓(⋋%⋟2013⪭⋋%⋟5158)=⋋%⋟1218","reverse_text":"⋋%⋟1218=⋗⩴⪓(⋋%⋟2013⪭⋋%⋟5158)","cot":[{"info":"⋋%⋟2013⪭⋋%⋟5158=⋋%⋟5","layer":1},{"info":"⋗⩴⪓⋋%⋟5=⋋%⋟1218","layer":0}]}
+{"id":409,"expression_no_base_symbol":"($3744$⊝⪿⪼$7916$)⫣⪄⊒$7726$⫁$2091$","expression":"(⋋%⋟5120⊝⪿⪼⋋%⋟11765)⫣⪄⊒⋋%⋟11534⫁⋋%⋟2773","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":162,"operation_count":3,"complexity_ratio":54.0,"tree":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":3744,"base":9},"right_expr":{"type":"numeric_atoms","value":7916,"base":9}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":7726,"base":9},"right_expr":{"type":"numeric_atoms","value":2091,"base":9}}},"used_operators":["RabNbG55vr","3Oe9XWJUTD","0ajvFaJAv0"],"dependent_operators":["NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","cHh1gJQ2o6","AHs5Up7iyr"],"result":"⋋%⋟187","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3744","layer":2},{"info":"number node, value=7916","layer":2},{"info":"compute binary expreesion, left_input=3744, right_input=7916, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=66092","layer":1},{"info":"number node, value=7726","layer":2},{"info":"number node, value=2091","layer":2},{"info":"compute binary expreesion, left_input=7726, right_input=2091, 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=66092, 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":0}],"base":9,"result_base":9,"text":"(⋋%⋟5120⊝⪿⪼⋋%⋟11765)⫣⪄⊒⋋%⋟11534⫁⋋%⋟2773=⋋%⋟187","reverse_text":"⋋%⋟187=(⋋%⋟5120⊝⪿⪼⋋%⋟11765)⫣⪄⊒⋋%⋟11534⫁⋋%⋟2773","cot":[{"info":"⋋%⋟5120⊝⪿⪼⋋%⋟11765=⋋%⋟110585","layer":1},{"info":"⋋%⋟11534⫁⋋%⋟2773=⋋%⋟187","layer":1},{"info":"⋋%⋟110585⫣⪄⊒⋋%⋟187=⋋%⋟187","layer":0}]}
+{"id":410,"expression_no_base_symbol":"$1081$⩦$6719$⊴($6938$∕⩚$2494$)","expression":"⋋%⋟1431⩦⋋%⋟10185⊴(⋋%⋟10458∕⩚⋋%⋟3371)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":13915,"operation_count":3,"complexity_ratio":4638.333333333333,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":1081,"base":9},"right_expr":{"type":"numeric_atoms","value":6719,"base":9}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":6938,"base":9},"right_expr":{"type":"numeric_atoms","value":2494,"base":9}}},"used_operators":["Nsiff2A1zJ","0kmYd0q39Y","z9ffQ9n5Zr"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1081","layer":2},{"info":"number node, value=6719","layer":2},{"info":"compute binary expreesion, left_input=1081, right_input=6719, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=2162","layer":1},{"info":"number node, value=6938","layer":2},{"info":"number node, value=2494","layer":2},{"info":"compute binary expreesion, left_input=6938, right_input=2494, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-6941","layer":1},{"info":"compute binary expreesion, left_input=2162, right_input=-6941, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟1431⩦⋋%⋟10185⊴(⋋%⋟10458∕⩚⋋%⋟3371)=NaN","reverse_text":"NaN=⋋%⋟1431⩦⋋%⋟10185⊴(⋋%⋟10458∕⩚⋋%⋟3371)","cot":[{"info":"⋋%⋟1431⩦⋋%⋟10185=⋋%⋟2862","layer":1},{"info":"⋋%⋟10458∕⩚⋋%⋟3371=⋋%⋟-10462","layer":1},{"info":"⋋%⋟2862⊴⋋%⋟-10462=NaN","layer":0}]}
+{"id":411,"expression_no_base_symbol":"($1183$∠↢$5404$)⋥⋵⩄($1404$∋$1729$)","expression":"(⋋%⋟1554∠↢⋋%⋟7364)⋥⋵⩄(⋋%⋟1830∋⋋%⋟2331)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":148,"operation_count":3,"complexity_ratio":49.333333333333336,"tree":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":1183,"base":9},"right_expr":{"type":"numeric_atoms","value":5404,"base":9}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":1404,"base":9},"right_expr":{"type":"numeric_atoms","value":1729,"base":9}}},"used_operators":["7t3wd0Fuz7","KbjG8mgYpV","ukq6epAj5P"],"dependent_operators":["IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV"],"result":"⋋%⋟135","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1183","layer":2},{"info":"number node, value=5404","layer":2},{"info":"compute binary expreesion, left_input=1183, right_input=5404, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-79306","layer":1},{"info":"number node, value=1404","layer":2},{"info":"number node, value=1729","layer":2},{"info":"compute binary expreesion, left_input=1404, right_input=1729, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=3601824","layer":1},{"info":"compute binary expreesion, left_input=-79306, right_input=3601824, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟1554∠↢⋋%⋟7364)⋥⋵⩄(⋋%⋟1830∋⋋%⋟2331)=⋋%⋟135","reverse_text":"⋋%⋟135=(⋋%⋟1554∠↢⋋%⋟7364)⋥⋵⩄(⋋%⋟1830∋⋋%⋟2331)","cot":[{"info":"⋋%⋟1554∠↢⋋%⋟7364=⋋%⋟-130707","layer":1},{"info":"⋋%⋟1830∋⋋%⋟2331=⋋%⋟6688686","layer":1},{"info":"⋋%⋟-130707⋥⋵⩄⋋%⋟6688686=⋋%⋟135","layer":0}]}
+{"id":412,"expression_no_base_symbol":"⊆⋠($1790$⨭⪣$1103$)","expression":"⊆⋠(⋋%⋟2408⨭⪣⋋%⋟1455)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":62,"operation_count":2,"complexity_ratio":31.0,"tree":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":1790,"base":9},"right_expr":{"type":"numeric_atoms","value":1103,"base":9}}},"used_operators":["EBhcHTkKd8","kn8WO9XteQ"],"dependent_operators":["YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF"],"result":"⋋%⋟0","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1790","layer":2},{"info":"number node, value=1103","layer":2},{"info":"compute binary expreesion, left_input=1790, right_input=1103, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=511","layer":1},{"info":"compute unary expreesion, input=511, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=0","layer":0}],"base":9,"result_base":9,"text":"⊆⋠(⋋%⋟2408⨭⪣⋋%⋟1455)=⋋%⋟0","reverse_text":"⋋%⋟0=⊆⋠(⋋%⋟2408⨭⪣⋋%⋟1455)","cot":[{"info":"⋋%⋟2408⨭���⋋%⋟1455=⋋%⋟627","layer":1},{"info":"⊆⋠⋋%⋟627=⋋%⋟0","layer":0}]}
+{"id":413,"expression_no_base_symbol":"(≦∁$1624$)⇴$3620$⊝⪿⪼$2549$","expression":"(≦∁⋋%⋟2204)⇴⋋%⋟4862⊝⪿⪼⋋%⋟3442","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":39,"operation_count":3,"complexity_ratio":13.0,"tree":{"type":"binary","operator":"⇴","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1624,"base":9}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":3620,"base":9},"right_expr":{"type":"numeric_atoms","value":2549,"base":9}}},"used_operators":["4JB6nKBMSY","9ICcGScMcE","3Oe9XWJUTD"],"dependent_operators":["sdazOOVcIp","NTOWxs364D","COABgblf1C","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q"],"result":"⋋%⋟181862","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1624","layer":2},{"info":"compute unary expreesion, input=1624, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1624","layer":1},{"info":"number node, value=3620","layer":2},{"info":"number node, value=2549","layer":2},{"info":"compute binary expreesion, left_input=3620, right_input=2549, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=51806","layer":1},{"info":"compute binary expreesion, left_input=1624, right_input=51806, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=112970","layer":0}],"base":9,"result_base":9,"text":"(≦∁⋋%⋟2204)⇴⋋%⋟4862⊝⪿⪼⋋%⋟3442=⋋%⋟181862","reverse_text":"⋋%⋟181862=(≦∁⋋%⋟2204)⇴⋋%⋟4862⊝⪿⪼⋋%⋟3442","cot":[{"info":"≦∁⋋%⋟2204=⋋%⋟2204","layer":1},{"info":"⋋%⋟4862⊝⪿⪼⋋%⋟3442=⋋%⋟78052","layer":1},{"info":"⋋%⋟2204⇴⋋%⋟78052=⋋%⋟181862","layer":0}]}
+{"id":414,"expression_no_base_symbol":"$2060$⨸$6255$⩼⇪↪(∤$3546$)","expression":"⋋%⋟2738⨸⋋%⋟8520⩼⇪↪(∤⋋%⋟4770)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2191,"operation_count":3,"complexity_ratio":730.3333333333334,"tree":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":2060,"base":9},"right_expr":{"type":"numeric_atoms","value":6255,"base":9}},"right_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"numeric_atoms","value":3546,"base":9}}},"used_operators":["ocnLzx9CaJ","KmoU8R5UQR","k2HlF1dBQh"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp"],"result":"⋋%⋟11125","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2060","layer":2},{"info":"number node, value=6255","layer":2},{"info":"compute binary expreesion, left_input=2060, right_input=6255, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=4120","layer":1},{"info":"number node, value=3546","layer":2},{"info":"compute unary expreesion, input=3546, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":1},{"info":"compute binary expreesion, left_input=4120, right_input=9, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=7394","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟2738⨸⋋%⋟8520⩼⇪↪(∤⋋%⋟4770)=⋋%⋟11125","reverse_text":"⋋%⋟11125=⋋%⋟2738⨸⋋%⋟8520⩼⇪↪(∤⋋%⋟4770)","cot":[{"info":"⋋%⋟2738⨸⋋%⋟8520=⋋%⋟5577","layer":1},{"info":"∤⋋%⋟4770=⋋%⋟10","layer":1},{"info":"⋋%⋟5577⩼⇪↪⋋%⋟10=⋋%⋟11125","layer":0}]}
+{"id":415,"expression_no_base_symbol":"$3914$⩒⫫$6786$↡⊰⫅$1712$⋹⋡⊁$4222$","expression":"⋋%⋟5328⩒⫫⋋%⋟10270↡⊰⫅⋋%⋟2312⋹⋡⊁⋋%⋟5711","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":132181,"operation_count":3,"complexity_ratio":44060.333333333336,"tree":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":3914,"base":9},"right_expr":{"type":"numeric_atoms","value":6786,"base":9}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":1712,"base":9},"right_expr":{"type":"numeric_atoms","value":4222,"base":9}}},"used_operators":["VCtxkLNOzz","KFSx94NKJn","As8RqfVLgs"],"dependent_operators":["Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux"],"result":"⋋%⋟14568","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3914","layer":2},{"info":"number node, value=6786","layer":2},{"info":"compute binary expreesion, left_input=3914, right_input=6786, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=3612","layer":1},{"info":"number node, value=1712","layer":2},{"info":"number node, value=4222","layer":2},{"info":"compute binary expreesion, left_input=1712, right_input=4222, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=4972","layer":1},{"info":"compute binary expreesion, left_input=3612, right_input=4972, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=9944","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟5328⩒⫫⋋%⋟10270↡⊰⫅⋋%⋟2312⋹⋡⊁⋋%⋟5711=⋋%⋟14568","reverse_text":"⋋%⋟14568=⋋%⋟5328⩒⫫⋋%⋟10270↡⊰⫅⋋%⋟2312⋹⋡⊁⋋%⋟5711","cot":[{"info":"⋋%⋟5328⩒⫫⋋%⋟10270=⋋%⋟4853","layer":1},{"info":"⋋%⋟2312⋹⋡⊁⋋%⋟5711=⋋%⋟6734","layer":1},{"info":"⋋%⋟4853↡⊰⫅⋋%⋟6734=⋋%⋟14568","layer":0}]}
+{"id":416,"expression_no_base_symbol":"⊤⊝($7675$⫡⨏$2459$)","expression":"⊤⊝(⋋%⋟11467⫡⨏⋋%⋟3332)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":12,"operation_count":2,"complexity_ratio":6.0,"tree":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":7675,"base":9},"right_expr":{"type":"numeric_atoms","value":2459,"base":9}}},"used_operators":["rXAclfmB4M","QMFrweE19q"],"dependent_operators":["sdazOOVcIp","W4YGzv6Whe","t8gj7n24qd"],"result":"⋋%⋟142124","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=7675","layer":2},{"info":"number node, value=2459","layer":2},{"info":"compute binary expreesion, left_input=7675, right_input=2459, 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=44076","layer":1},{"info":"compute unary expreesion, input=44076, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=86854","layer":0}],"base":9,"result_base":9,"text":"⊤⊝(⋋%⋟11467⫡⨏⋋%⋟3332)=⋋%⋟142124","reverse_text":"⋋%⋟142124=⊤⊝(⋋%⋟11467⫡⨏⋋%⋟3332)","cot":[{"info":"⋋%⋟11467⫡⨏⋋%⋟3332=⋋%⋟66413","layer":1},{"info":"⊤⊝⋋%⋟66413=⋋%⋟142124","layer":0}]}
+{"id":417,"expression_no_base_symbol":"($1690$↡⊰⫅$1278$)⪕($2834$⫳≱↱$3659$)","expression":"(⋋%⋟2277↡⊰⫅⋋%⋟1670)⪕(⋋%⋟3788⫳≱↱⋋%⋟5015)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":18227,"operation_count":3,"complexity_ratio":6075.666666666667,"tree":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":1690,"base":9},"right_expr":{"type":"numeric_atoms","value":1278,"base":9}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":2834,"base":9},"right_expr":{"type":"numeric_atoms","value":3659,"base":9}}},"used_operators":["umQnsF7QlU","VCtxkLNOzz","ZvLB05nZmT"],"dependent_operators":["P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA"],"result":"⋋%⋟8467","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1690","layer":2},{"info":"number node, value=1278","layer":2},{"info":"compute binary expreesion, left_input=1690, right_input=1278, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=2556","layer":1},{"info":"number node, value=2834","layer":2},{"info":"number node, value=3659","layer":2},{"info":"compute binary expreesion, left_input=2834, right_input=3659, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":1},{"info":"compute binary expreesion, left_input=2556, right_input=-204, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=6217","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟2277↡⊰⫅⋋%⋟1670)⪕(⋋%⋟3788⫳≱↱⋋%⋟5015)=⋋%⋟8467","reverse_text":"⋋%⋟8467=(⋋%⋟2277↡⊰⫅⋋%⋟1670)⪕(⋋%⋟3788⫳≱↱⋋%⋟5015)","cot":[{"info":"⋋%⋟2277↡⊰⫅⋋%⋟1670=⋋%⋟3450","layer":1},{"info":"⋋%⋟3788⫳≱↱⋋%⋟5015=⋋%⋟-246","layer":1},{"info":"⋋%⋟3450⪕⋋%⋟-246=⋋%⋟8467","layer":0}]}
+{"id":418,"expression_no_base_symbol":"$4610$⪢$4466$⫌⩉⩟(≦∁$4412$)","expression":"⋋%⋟6282⪢⋋%⋟6112⫌⩉⩟(≦∁⋋%⋟6042)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":30390,"operation_count":3,"complexity_ratio":10130.0,"tree":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":4610,"base":9},"right_expr":{"type":"numeric_atoms","value":4466,"base":9}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":4412,"base":9}}},"used_operators":["XIIwhv8d0m","dWAJyo7jo9","9ICcGScMcE"],"dependent_operators":["B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","k8jYdgA6NY","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"⋋%⋟-55","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=4610","layer":2},{"info":"number node, value=4466","layer":2},{"info":"compute binary expreesion, left_input=4610, right_input=4466, 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=4412","layer":2},{"info":"compute unary expreesion, input=4412, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=4412","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=4412, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟6282⪢⋋%⋟6112⫌⩉⩟(≦∁⋋%⋟6042)=⋋%⋟-55","reverse_text":"⋋%⋟-55=⋋%⋟6282⪢⋋%⋟6112⫌⩉⩟(≦∁⋋%⋟6042)","cot":[{"info":"⋋%⋟6282⪢⋋%⋟6112=NaN","layer":1},{"info":"≦∁⋋%⋟6042=⋋%⋟6042","layer":1},{"info":"NaN⫌⩉⩟⋋%⋟6042=⋋%⋟-55","layer":0}]}
+{"id":419,"expression_no_base_symbol":"$5475$⨪↰⇹$5777$⪨⊡$3003$⋹⋡⊁$1998$","expression":"⋋%⋟7453⨪↰⇹⋋%⋟7828⪨⊡⋋%⋟4106⋹⋡⊁⋋%⋟2660","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":68021,"operation_count":3,"complexity_ratio":22673.666666666668,"tree":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":5475,"base":9},"right_expr":{"type":"numeric_atoms","value":5777,"base":9}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":3003,"base":9},"right_expr":{"type":"numeric_atoms","value":1998,"base":9}}},"used_operators":["kuIXHzHcAH","tmPS8pqC7x","As8RqfVLgs"],"dependent_operators":["JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","rJVOvQCfKK","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux"],"result":"⋋%⋟0","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=5475","layer":2},{"info":"number node, value=5777","layer":2},{"info":"compute binary expreesion, left_input=5475, right_input=5777, 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=5475","layer":1},{"info":"number node, value=3003","layer":2},{"info":"number node, value=1998","layer":2},{"info":"compute binary expreesion, left_input=3003, right_input=1998, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=2748","layer":1},{"info":"compute binary expreesion, left_input=5475, right_input=2748, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟7453⨪↰⇹⋋%⋟7828⪨⊡⋋%⋟4106⋹⋡⊁⋋%⋟2660=⋋%⋟0","reverse_text":"⋋%⋟0=⋋%⋟7453⨪↰⇹⋋%⋟7828⪨⊡⋋%⋟4106⋹⋡⊁⋋%⋟2660","cot":[{"info":"⋋%⋟7453⨪↰⇹⋋%⋟7828=⋋%⋟7453","layer":1},{"info":"⋋%⋟4106⋹⋡⊁⋋%⋟2660=⋋%⋟3683","layer":1},{"info":"⋋%⋟7453⪨⊡⋋%⋟3683=⋋%⋟0","layer":0}]}
+{"id":420,"expression_no_base_symbol":"(⨂⪏⇭$2170$)⪬($7477$⋭≵$7057$)","expression":"(⨂⪏⇭⋋%⋟2871)⪬(⋋%⋟11227⋭≵⋋%⋟10611)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":642,"operation_count":3,"complexity_ratio":214.0,"tree":{"type":"binary","operator":"⪬","left_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"numeric_atoms","value":2170,"base":9}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":7477,"base":9},"right_expr":{"type":"numeric_atoms","value":7057,"base":9}}},"used_operators":["Ez1Nq5fNfI","AYdpE9sXAk","jBncVCNhdl"],"dependent_operators":["eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C"],"result":"⋋%⋟1621","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=2170","layer":2},{"info":"compute unary expreesion, input=2170, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=5531","layer":1},{"info":"number node, value=7477","layer":2},{"info":"number node, value=7057","layer":2},{"info":"compute binary expreesion, left_input=7477, right_input=7057, 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=5531, right_input=67, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":0}],"base":9,"result_base":9,"text":"(⨂⪏⇭⋋%⋟2871)⪬(⋋%⋟11227⋭≵⋋%⋟10611)=⋋%⋟1621","reverse_text":"⋋%⋟1621=(⨂⪏⇭⋋%⋟2871)⪬(⋋%⋟11227⋭≵⋋%⋟10611)","cot":[{"info":"⨂⪏⇭⋋%⋟2871=⋋%⋟7525","layer":1},{"info":"⋋%⋟11227⋭≵⋋%⋟10611=⋋%⋟74","layer":1},{"info":"⋋%⋟7525⪬⋋%⋟74=⋋%⋟1621","layer":0}]}
+{"id":421,"expression_no_base_symbol":"($2097$⋻⩜⩜$1868$)⋛($5552$∼$6200$)","expression":"(⋋%⋟2780⋻⩜⩜⋋%⋟2505)⋛(⋋%⋟7548∼⋋%⋟8448)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":26327,"operation_count":3,"complexity_ratio":8775.666666666666,"tree":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":2097,"base":9},"right_expr":{"type":"numeric_atoms","value":1868,"base":9}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":5552,"base":9},"right_expr":{"type":"numeric_atoms","value":6200,"base":9}}},"used_operators":["YbUVn0Rbpy","oDCm7WA9JY","DyGG3AbaNP"],"dependent_operators":["d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=2097","layer":2},{"info":"number node, value=1868","layer":2},{"info":"compute binary expreesion, left_input=2097, right_input=1868, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=4194","layer":1},{"info":"number node, value=5552","layer":2},{"info":"number node, value=6200","layer":2},{"info":"compute binary expreesion, left_input=5552, right_input=6200, 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=4194, 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":9,"result_base":9,"text":"(⋋%⋟2780⋻⩜⩜⋋%⋟2505)⋛(⋋%⋟7548∼⋋%⋟8448)=NaN","reverse_text":"NaN=(⋋%⋟2780⋻⩜⩜⋋%⋟2505)⋛(⋋%⋟7548∼⋋%⋟8448)","cot":[{"info":"⋋%⋟2780⋻⩜⩜⋋%⋟2505=⋋%⋟5670","layer":1},{"info":"⋋%⋟7548∼⋋%⋟8448=NaN","layer":1},{"info":"⋋%⋟5670⋛NaN=NaN","layer":0}]}
+{"id":422,"expression_no_base_symbol":"$2040$⊲⩕⊾$1909$∙⊟(⫖→$1609$)","expression":"⋋%⋟2716⊲⩕⊾⋋%⋟2551∙⊟(⫖→⋋%⋟2177)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":50257,"operation_count":3,"complexity_ratio":16752.333333333332,"tree":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":2040,"base":9},"right_expr":{"type":"numeric_atoms","value":1909,"base":9}},"right_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"numeric_atoms","value":1609,"base":9}}},"used_operators":["SxTAKzQCrw","DmTXOeWf9t","U4ylXWHChL"],"dependent_operators":["6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp"],"result":"⋋%⋟1181876","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2040","layer":2},{"info":"number node, value=1909","layer":2},{"info":"compute binary expreesion, left_input=2040, right_input=1909, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-48360","layer":1},{"info":"number node, value=1609","layer":2},{"info":"compute unary expreesion, input=1609, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":1},{"info":"compute binary expreesion, left_input=-48360, right_input=177, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=644424","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟2716⊲⩕⊾⋋%⋟2551∙⊟(⫖→⋋%⋟2177)=⋋%⋟1181876","reverse_text":"⋋%⋟1181876=⋋%⋟2716⊲⩕⊾⋋%⋟2551∙⊟(⫖→⋋%⋟2177)","cot":[{"info":"⋋%⋟2716⊲⩕⊾⋋%⋟2551=⋋%⋟-73303","layer":1},{"info":"⫖→⋋%⋟2177=⋋%⋟216","layer":1},{"info":"⋋%⋟-73303∙⊟⋋%⋟216=⋋%⋟1181876","layer":0}]}
+{"id":423,"expression_no_base_symbol":"($2119$⫔⩽⩺$1339$)⋹","expression":"(⋋%⋟2814⫔⩽⩺⋋%⋟1747)⋹","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":44,"operation_count":2,"complexity_ratio":22.0,"tree":{"type":"unary","operator":"⋹","unary_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":2119,"base":9},"right_expr":{"type":"numeric_atoms","value":1339,"base":9}}},"used_operators":["opAxDRczMr","i9eR4S00cU"],"dependent_operators":["13rbtpv6ld","mp7IySMOzn","z63VuFQld9","aN9a90urxU","27wFxooxGf","SVb2v531z1","eewbuw0ToL","Tw270M8GLb","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=2119","layer":2},{"info":"number node, value=1339","layer":2},{"info":"compute binary expreesion, left_input=2119, right_input=1339, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = opAxDRczMr, unary_op_definition = 'a⋹ = { ((⨴⫝a)⇷(a↤⩊a)) , if (a≃⋄)<20 or (⊢≑≆a)<=20 ; ((a⨰a)∧) , else }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟2814⫔⩽⩺⋋%⋟1747)⋹=NaN","reverse_text":"NaN=(⋋%⋟2814⫔⩽⩺⋋%⋟1747)⋹","cot":[{"info":"⋋%⋟2814⫔⩽⩺⋋%⋟1747=NaN","layer":1},{"info":"NaN⋹=NaN","layer":0}]}
+{"id":424,"expression_no_base_symbol":"⫯($2628$≓∲$1240$)","expression":"⫯(⋋%⋟3540≓∲⋋%⋟1627)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":98,"operation_count":2,"complexity_ratio":49.0,"tree":{"type":"unary","operator":"⫯","unary_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":2628,"base":9},"right_expr":{"type":"numeric_atoms","value":1240,"base":9}}},"used_operators":["H6BK1Evt7c","s1XTVnmDOJ"],"dependent_operators":["2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu"],"result":"⋋%⋟-2088808","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2628","layer":2},{"info":"number node, value=1240","layer":2},{"info":"compute binary expreesion, left_input=2628, right_input=1240, 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=27063","layer":1},{"info":"compute unary expreesion, input=27063, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=-1121858","layer":0}],"base":9,"result_base":9,"text":"⫯(⋋%⋟3540≓∲⋋%⋟1627)=⋋%⋟-2088808","reverse_text":"⋋%⋟-2088808=⫯(⋋%⋟3540≓∲⋋%⋟1627)","cot":[{"info":"⋋%⋟3540≓∲⋋%⋟1627=⋋%⋟41110","layer":1},{"info":"⫯⋋%⋟41110=⋋%⋟-2088808","layer":0}]}
+{"id":425,"expression_no_base_symbol":"$1940$⫳≱↱$2101$⩹$1065$⩼⇪↪$2010$","expression":"⋋%⋟2585⫳≱↱⋋%⋟2784⩹⋋%⋟1413⩼⇪↪⋋%⋟2673","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":334,"operation_count":3,"complexity_ratio":111.33333333333333,"tree":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":1940,"base":9},"right_expr":{"type":"numeric_atoms","value":2101,"base":9}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":1065,"base":9},"right_expr":{"type":"numeric_atoms","value":2010,"base":9}}},"used_operators":["2Wsdkap16l","ZvLB05nZmT","ocnLzx9CaJ"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q"],"result":"⋋%⋟-18408","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1940","layer":2},{"info":"number node, value=2101","layer":2},{"info":"compute binary expreesion, left_input=1940, right_input=2101, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":1},{"info":"number node, value=1065","layer":2},{"info":"number node, value=2010","layer":2},{"info":"compute binary expreesion, left_input=1065, right_input=2010, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-12723","layer":1},{"info":"compute binary expreesion, left_input=-204, right_input=-12723, 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=-12725","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟2585⫳≱↱⋋%⋟2784⩹⋋%⋟1413⩼⇪↪⋋%⋟2673=⋋%⋟-18408","reverse_text":"⋋%⋟-18408=⋋%⋟2585⫳≱↱⋋%⋟2784⩹⋋%⋟1413⩼⇪↪⋋%⋟2673","cot":[{"info":"⋋%⋟2585⫳≱↱⋋%⋟2784=⋋%⋟-246","layer":1},{"info":"⋋%⋟1413⩼⇪↪⋋%⋟2673=⋋%⋟-18406","layer":1},{"info":"⋋%⋟-246⩹⋋%⋟-18406=⋋%⋟-18408","layer":0}]}
+{"id":426,"expression_no_base_symbol":"($4571$⫠)∧","expression":"(⋋%⋟6238⫠)∧","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":64025,"operation_count":2,"complexity_ratio":32012.5,"tree":{"type":"unary","operator":"∧","unary_expr":{"type":"unary","operator":"⫠","unary_expr":{"type":"numeric_atoms","value":4571,"base":9}}},"used_operators":["z63VuFQld9","6SnOT2rOjz"],"dependent_operators":["B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","Bmrmz2XGnR","tmPS8pqC7x","mp7IySMOzn"],"result":"⋋%⋟0","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=4571","layer":2},{"info":"compute unary expreesion, input=4571, op_id = 6SnOT2rOjz, unary_op_definition = 'a⫠ = { ((a⇷0)⨪↰⇹(a≚⊃≕a)) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=0","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟6238⫠)∧=⋋%⋟0","reverse_text":"⋋%⋟0=(⋋%⋟6238⫠)∧","cot":[{"info":"⋋%⋟6238⫠=⋋%⋟0","layer":1},{"info":"⋋%⋟0∧=⋋%⋟0","layer":0}]}
+{"id":427,"expression_no_base_symbol":"($1362$⪶≀⋏$1792$)⪛($1807$⨽⪊≇)","expression":"(⋋%⋟1773⪶≀⋏⋋%⋟2411)⪛(⋋%⋟2427⨽⪊≇)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":26,"operation_count":3,"complexity_ratio":8.666666666666666,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":1362,"base":9},"right_expr":{"type":"numeric_atoms","value":1792,"base":9}},"right_expr":{"type":"unary","operator":"⨽⪊≇","unary_expr":{"type":"numeric_atoms","value":1807,"base":9}}},"used_operators":["uFcxV4UQCh","zR4jO40bMj","nlCqmYiOvY"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","W4YGzv6Whe","sdazOOVcIp","XIabStNQrY"],"result":"⋋%⋟1773","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1362","layer":2},{"info":"number node, value=1792","layer":2},{"info":"compute binary expreesion, left_input=1362, right_input=1792, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-7902","layer":1},{"info":"number node, value=1807","layer":2},{"info":"compute unary expreesion, input=1807, op_id = nlCqmYiOvY, unary_op_definition = 'a⨽⪊≇ = { ((a⇋≉)⪨≂(a+216)) }', output=3088","layer":1},{"info":"compute binary expreesion, left_input=-7902, right_input=3088, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1362","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟1773⪶≀⋏⋋%⋟2411)⪛(⋋%⋟2427⨽⪊≇)=⋋%⋟1773","reverse_text":"⋋%⋟1773=(⋋%⋟1773⪶≀⋏⋋%⋟2411)⪛(⋋%⋟2427⨽⪊≇)","cot":[{"info":"⋋%⋟1773⪶≀⋏⋋%⋟2411=⋋%⋟-11750","layer":1},{"info":"⋋%⋟2427⨽⪊≇=⋋%⋟4211","layer":1},{"info":"⋋%⋟-11750⪛⋋%⋟4211=⋋%⋟1773","layer":0}]}
+{"id":428,"expression_no_base_symbol":"$2281$⪕$3022$≧⫂∧($1890$⋓$5910$)","expression":"⋋%⋟3114⪕⋋%⋟4127≧⫂∧(⋋%⋟2530⋓⋋%⋟8086)","highest_n_order":3,"priority_hierarchical_complexity":1,"normalized_expansion_degree":25,"operation_count":3,"complexity_ratio":8.333333333333334,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":2281,"base":9},"right_expr":{"type":"numeric_atoms","value":3022,"base":9}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1890,"base":9},"right_expr":{"type":"numeric_atoms","value":5910,"base":9}}},"used_operators":["Ph9nP6C5qx","umQnsF7QlU","T2fj7uvVaJ"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"⋋%⋟-575","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=2281","layer":2},{"info":"number node, value=3022","layer":2},{"info":"compute binary expreesion, left_input=2281, right_input=3022, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=2441","layer":1},{"info":"number node, value=1890","layer":2},{"info":"number node, value=5910","layer":2},{"info":"compute binary expreesion, left_input=1890, right_input=5910, 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 binary expreesion, left_input=2441, right_input=0, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-473","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟3114⪕⋋%⋟4127≧⫂∧(⋋%⋟2530⋓⋋%⋟8086)=⋋%⋟-575","reverse_text":"⋋%⋟-575=⋋%⋟3114⪕⋋%⋟4127≧⫂∧(⋋%⋟2530⋓⋋%⋟8086)","cot":[{"info":"⋋%⋟3114⪕⋋%⋟4127=⋋%⋟3312","layer":1},{"info":"⋋%⋟2530⋓⋋%⋟8086=⋋%⋟0","layer":1},{"info":"⋋%⋟3312≧⫂∧⋋%⋟0=⋋%⋟-575","layer":0}]}
+{"id":429,"expression_no_base_symbol":"($2417$⪘⨀)≝⊿$3752$⩖⊿$3635$","expression":"(⋋%⋟3275⪘⨀)≝⊿⋋%⋟5128⩖⊿⋋%⋟4878","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":67,"operation_count":3,"complexity_ratio":22.333333333333332,"tree":{"type":"binary","operator":"≝⊿","left_expr":{"type":"unary","operator":"⪘⨀","unary_expr":{"type":"numeric_atoms","value":2417,"base":9}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":3752,"base":9},"right_expr":{"type":"numeric_atoms","value":3635,"base":9}}},"used_operators":["OKKcZfAt5B","aA7tF3KVD3","RZ5CV9rWsJ"],"dependent_operators":["12rbrZMWeM","bl5wxAcryP","L05ObWFQCd","XhwjNDsVaA","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA"],"result":"⋋%⋟-34614","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2417","layer":2},{"info":"compute unary expreesion, input=2417, op_id = aA7tF3KVD3, unary_op_definition = 'a⪘⨀ = { ((104/a)⪍↜⋙(a↰)) }', output=-5415","layer":1},{"info":"number node, value=3752","layer":2},{"info":"number node, value=3635","layer":2},{"info":"compute binary expreesion, left_input=3752, right_input=3635, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=13990","layer":1},{"info":"compute binary expreesion, left_input=-5415, right_input=13990, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-23098","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟3275⪘⨀)≝⊿⋋%⋟5128⩖⊿⋋%⋟4878=⋋%⋟-34614","reverse_text":"⋋%⋟-34614=(⋋%⋟3275⪘⨀)≝⊿⋋%⋟5128⩖⊿⋋%⋟4878","cot":[{"info":"⋋%⋟3275⪘⨀=⋋%⋟-7376","layer":1},{"info":"⋋%⋟5128⩖⊿⋋%⋟4878=⋋%⋟21164","layer":1},{"info":"⋋%⋟-7376≝⊿⋋%⋟21164=⋋%⋟-34614","layer":0}]}
+{"id":430,"expression_no_base_symbol":"($3821$⊢)∊∟⩊($4634$⋻⩜⩜$3896$)","expression":"(⋋%⋟5215⊢)∊∟⩊(⋋%⋟6318⋻⩜⩜⋋%⋟5308)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":54554,"operation_count":3,"complexity_ratio":18184.666666666668,"tree":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"unary","operator":"⊢","unary_expr":{"type":"numeric_atoms","value":3821,"base":9}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":4634,"base":9},"right_expr":{"type":"numeric_atoms","value":3896,"base":9}}},"used_operators":["ddLRYrp01A","40aOVDgCDB","oDCm7WA9JY"],"dependent_operators":["59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","NTOWxs364D","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE"],"result":"⋋%⋟13637","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3821","layer":2},{"info":"compute unary expreesion, input=3821, op_id = 40aOVDgCDB, unary_op_definition = 'a⊢ = { a , if a<=675 ; (a⩚⊴⇥126) , else }', output=-4068","layer":1},{"info":"number node, value=4634","layer":2},{"info":"number node, value=3896","layer":2},{"info":"compute binary expreesion, left_input=4634, right_input=3896, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=9268","layer":1},{"info":"compute binary expreesion, left_input=-4068, right_input=9268, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=9268","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟5215⊢)∊∟⩊(⋋%⋟6318⋻⩜⩜⋋%⋟5308)=⋋%⋟13637","reverse_text":"⋋%⋟13637=(⋋%⋟5215⊢)∊∟⩊(⋋%⋟6318⋻⩜⩜⋋%⋟5308)","cot":[{"info":"⋋%⋟5215⊢=⋋%⋟-5520","layer":1},{"info":"⋋%⋟6318⋻⩜⩜⋋%⋟5308=⋋%⋟13637","layer":1},{"info":"⋋%⋟-5520∊∟⩊⋋%⋟13637=⋋%⋟13637","layer":0}]}
+{"id":431,"expression_no_base_symbol":"($5265$⪨⊡$1555$)⪒⊣⊆$7040$↞⋁$3660$","expression":"(⋋%⋟7200⪨⊡⋋%⋟2117)⪒⊣⊆⋋%⋟10582↞⋁⋋%⋟5016","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":191,"operation_count":3,"complexity_ratio":63.666666666666664,"tree":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":5265,"base":9},"right_expr":{"type":"numeric_atoms","value":1555,"base":9}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":7040,"base":9},"right_expr":{"type":"numeric_atoms","value":3660,"base":9}}},"used_operators":["eRqsBgTDFp","kuIXHzHcAH","RqrPlJkxDo"],"dependent_operators":["sdazOOVcIp","W4YGzv6Whe","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","Uaa54Peajs","CArV6hThFE","13rbtpv6ld"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=5265","layer":2},{"info":"number node, value=1555","layer":2},{"info":"compute binary expreesion, left_input=5265, right_input=1555, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":1},{"info":"number node, value=7040","layer":2},{"info":"number node, value=3660","layer":2},{"info":"compute binary expreesion, left_input=7040, right_input=3660, 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=0, right_input=nan, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟7200⪨⊡⋋%⋟2117)⪒⊣⊆⋋%⋟10582↞⋁⋋%⋟5016=NaN","reverse_text":"NaN=(⋋%⋟7200⪨⊡⋋%⋟2117)⪒⊣⊆⋋%⋟10582↞⋁⋋%⋟5016","cot":[{"info":"⋋%⋟7200⪨⊡⋋%⋟2117=⋋%⋟0","layer":1},{"info":"⋋%⋟10582↞⋁⋋%⋟5016=NaN","layer":1},{"info":"⋋%⋟0⪒⊣⊆NaN=NaN","layer":0}]}
+{"id":432,"expression_no_base_symbol":"$4485$⇡⇂$2099$∖($1909$↫)","expression":"⋋%⋟6133⇡⇂⋋%⋟2782∖(⋋%⋟2551↫)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":10943,"operation_count":3,"complexity_ratio":3647.6666666666665,"tree":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":4485,"base":9},"right_expr":{"type":"numeric_atoms","value":2099,"base":9}},"right_expr":{"type":"unary","operator":"↫","unary_expr":{"type":"numeric_atoms","value":1909,"base":9}}},"used_operators":["tXD093vOjl","UMwdvZNt44","uPb5QRN0te"],"dependent_operators":["rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","i8ToyICDmI","2DQ55sFlQl","t8gj7n24qd"],"result":"⋋%⋟0","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=4485","layer":2},{"info":"number node, value=2099","layer":2},{"info":"compute binary expreesion, left_input=4485, right_input=2099, 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=1909","layer":2},{"info":"compute unary expreesion, input=1909, 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=nan, right_input=160, 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":9,"result_base":9,"text":"⋋%⋟6133⇡⇂⋋%⋟2782∖(⋋%⋟2551↫)=⋋%⋟0","reverse_text":"⋋%⋟0=⋋%⋟6133⇡⇂⋋%⋟2782∖(⋋%⋟2551↫)","cot":[{"info":"⋋%⋟6133⇡⇂⋋%⋟2782=NaN","layer":1},{"info":"⋋%⋟2551↫=⋋%⋟187","layer":1},{"info":"NaN∖⋋%⋟187=⋋%⋟0","layer":0}]}
+{"id":433,"expression_no_base_symbol":"($6632$⋛$1503$)⨘","expression":"(⋋%⋟10078⋛⋋%⋟2050)⨘","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":72781,"operation_count":2,"complexity_ratio":36390.5,"tree":{"type":"unary","operator":"⨘","unary_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":6632,"base":9},"right_expr":{"type":"numeric_atoms","value":1503,"base":9}}},"used_operators":["ljcfZBUpm8","YbUVn0Rbpy"],"dependent_operators":["40aOVDgCDB","JL8yIekQnl","ocnLzx9CaJ","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA"],"result":"⋋%⋟852118","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=6632","layer":2},{"info":"number node, value=1503","layer":2},{"info":"compute binary expreesion, left_input=6632, right_input=1503, 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=-72504","layer":1},{"info":"compute unary expreesion, input=-72504, op_id = ljcfZBUpm8, unary_op_definition = 'a⨘ = { ((4⊢)⩼⇪↪(a⋫)) }', output=506753","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟10078⋛⋋%⋟2050)⨘=⋋%⋟852118","reverse_text":"⋋%⋟852118=(⋋%⋟10078⋛⋋%⋟2050)⨘","cot":[{"info":"⋋%⋟10078⋛⋋%⋟2050=⋋%⋟-120410","layer":1},{"info":"⋋%⋟-120410⨘=⋋%⋟852118","layer":0}]}
+{"id":434,"expression_no_base_symbol":"($2173$⫘$2168$)↢($3677$⩣⫁∢$4456$)","expression":"(⋋%⋟2874⫘⋋%⋟2868)↢(⋋%⋟5035⩣⫁∢⋋%⋟6101)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2420,"operation_count":3,"complexity_ratio":806.6666666666666,"tree":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":2173,"base":9},"right_expr":{"type":"numeric_atoms","value":2168,"base":9}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":3677,"base":9},"right_expr":{"type":"numeric_atoms","value":4456,"base":9}}},"used_operators":["WR6HLWljOP","48vC8HMD2b","JDUIKTTSIa"],"dependent_operators":["eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG"],"result":"⋋%⋟4730713","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2173","layer":2},{"info":"number node, value=2168","layer":2},{"info":"compute binary expreesion, left_input=2173, right_input=2168, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=2559853","layer":1},{"info":"number node, value=3677","layer":2},{"info":"number node, value=4456","layer":2},{"info":"compute binary expreesion, left_input=3677, right_input=4456, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-7193","layer":1},{"info":"compute binary expreesion, left_input=2559853, right_input=-7193, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=2559369","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟2874⫘⋋%⋟2868)↢(⋋%⋟5035⩣⫁∢⋋%⋟6101)=⋋%⋟4730713","reverse_text":"⋋%⋟4730713=(⋋%⋟2874⫘⋋%⋟2868)↢(⋋%⋟5035⩣⫁∢⋋%⋟6101)","cot":[{"info":"⋋%⋟2874⫘⋋%⋟2868=⋋%⋟4731411","layer":1},{"info":"⋋%⋟5035⩣⫁∢⋋%⋟6101=⋋%⋟-10772","layer":1},{"info":"⋋%⋟4731411↢⋋%⋟-10772=⋋%⋟4730713","layer":0}]}
+{"id":435,"expression_no_base_symbol":"$2458$≴⪞⇿$2199$⫔⩽⩺(⪡⇡≛$6280$)","expression":"⋋%⋟3331≴⪞⇿⋋%⋟3013⫔⩽⩺(⪡⇡≛⋋%⋟8547)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2282,"operation_count":3,"complexity_ratio":760.6666666666666,"tree":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":2458,"base":9},"right_expr":{"type":"numeric_atoms","value":2199,"base":9}},"right_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"numeric_atoms","value":6280,"base":9}}},"used_operators":["i9eR4S00cU","lvlrscuwVU","qL4PrbW1Dq"],"dependent_operators":["Tw270M8GLb","fu6greOZ01","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2458","layer":2},{"info":"number node, value=2199","layer":2},{"info":"compute binary expreesion, left_input=2458, right_input=2199, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=9548684","layer":1},{"info":"number node, value=6280","layer":2},{"info":"compute unary expreesion, input=6280, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-6280","layer":1},{"info":"compute binary expreesion, left_input=9548684, right_input=-6280, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟3331≴⪞⇿⋋%⋟3013⫔⩽⩺(⪡⇡≛⋋%⋟8547)=NaN","reverse_text":"NaN=⋋%⋟3331≴⪞⇿⋋%⋟3013⫔⩽⩺(⪡⇡≛⋋%⋟8547)","cot":[{"info":"⋋%⋟3331≴⪞⇿⋋%⋟3013=⋋%⋟18863288","layer":1},{"info":"⪡⇡≛⋋%⋟8547=⋋%⋟-8547","layer":1},{"info":"⋋%⋟18863288⫔⩽⩺⋋%⋟-8547=NaN","layer":0}]}
+{"id":436,"expression_no_base_symbol":"($1004$⋹⋡⊁$3006$)⊮⊟↴$3038$≁↽≥$1152$","expression":"(⋋%⋟1335⋹⋡⊁⋋%⋟4110)⊮⊟↴⋋%⋟4145≁↽≥⋋%⋟1520","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":62602,"operation_count":3,"complexity_ratio":20867.333333333332,"tree":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":1004,"base":9},"right_expr":{"type":"numeric_atoms","value":3006,"base":9}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":3038,"base":9},"right_expr":{"type":"numeric_atoms","value":1152,"base":9}}},"used_operators":["QDVgd2eftb","As8RqfVLgs","ncHt1X6cMc"],"dependent_operators":["XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","oWn0xqSxBt","3Oe9XWJUTD"],"result":"⋋%⋟0","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1004","layer":2},{"info":"number node, value=3006","layer":2},{"info":"compute binary expreesion, left_input=1004, right_input=3006, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=3756","layer":1},{"info":"number node, value=3038","layer":2},{"info":"number node, value=1152","layer":2},{"info":"compute binary expreesion, left_input=3038, right_input=1152, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=47034","layer":1},{"info":"compute binary expreesion, left_input=3756, right_input=47034, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟1335⋹⋡⊁⋋%⋟4110)⊮⊟↴⋋%⋟4145≁↽≥⋋%⋟1520=⋋%⋟0","reverse_text":"⋋%⋟0=(⋋%⋟1335⋹⋡⊁⋋%⋟4110)⊮⊟↴⋋%⋟4145≁↽≥⋋%⋟1520","cot":[{"info":"⋋%⋟1335⋹⋡⊁⋋%⋟4110=⋋%⋟5133","layer":1},{"info":"⋋%⋟4145≁↽≥⋋%⋟1520=⋋%⋟71460","layer":1},{"info":"⋋%⋟5133⊮⊟↴⋋%⋟71460=⋋%⋟0","layer":0}]}
+{"id":437,"expression_no_base_symbol":"($3741$⨕⋳)∠⫱$5913$⪝$6074$","expression":"(⋋%⋟5116⨕⋳)∠⫱⋋%⋟8100⪝⋋%⋟8288","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":511,"operation_count":3,"complexity_ratio":170.33333333333334,"tree":{"type":"binary","operator":"∠⫱","left_expr":{"type":"unary","operator":"⨕⋳","unary_expr":{"type":"numeric_atoms","value":3741,"base":9}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":5913,"base":9},"right_expr":{"type":"numeric_atoms","value":6074,"base":9}}},"used_operators":["QvoQhV0rrE","4X4GscPmMf","wicAB68Tmb"],"dependent_operators":["eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","9bazX3JMtO","nhYeJWJD5X","DbCuESL50I","3EYGwJThht","w2P8NbNXyL","uFcxV4UQCh","bJkvcejdHO","BUOGQAYlQx","cTDWOvIxvz","hrf7POJlIJ","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X"],"result":"⋋%⋟418011","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3741","layer":2},{"info":"compute unary expreesion, input=3741, op_id = 4X4GscPmMf, unary_op_definition = 'a⨕⋳ = { ((⋼∭⪍(a∴a))⊉↱≁(⋂(a↹⊜60))) , if (a∝72)!=68 ; (((a≎⊠⪸503)⇄(a∇⊂⋱a))⪛a) , else }', output=248836","layer":1},{"info":"number node, value=5913","layer":2},{"info":"number node, value=6074","layer":2},{"info":"compute binary expreesion, left_input=5913, right_input=6074, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":1},{"info":"compute binary expreesion, left_input=248836, right_input=237, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=248599","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟5116⨕⋳)∠⫱⋋%⋟8100⪝⋋%⋟8288=⋋%⋟418011","reverse_text":"⋋%⋟418011=(⋋%⋟5116⨕⋳)∠⫱⋋%⋟8100⪝⋋%⋟8288","cot":[{"info":"⋋%⋟5116⨕⋳=⋋%⋟418304","layer":1},{"info":"⋋%⋟8100⪝⋋%⋟8288=⋋%⋟283","layer":1},{"info":"⋋%⋟418304∠⫱⋋%⋟283=⋋%⋟418011","layer":0}]}
+{"id":438,"expression_no_base_symbol":"($8562$∀⇚≩$2109$)≨$1985$∳⫺$2658$","expression":"(⋋%⋟12663∀⇚≩⋋%⋟2803)≨⋋%⋟2645∳⫺⋋%⋟3573","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":60039,"operation_count":3,"complexity_ratio":20013.0,"tree":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":8562,"base":9},"right_expr":{"type":"numeric_atoms","value":2109,"base":9}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":1985,"base":9},"right_expr":{"type":"numeric_atoms","value":2658,"base":9}}},"used_operators":["0KMCeP1Jsh","LRNGc0VcxI","AzXXKTstlj"],"dependent_operators":["jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","X99M06cbEe","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=8562","layer":2},{"info":"number node, value=2109","layer":2},{"info":"compute binary expreesion, left_input=8562, right_input=2109, 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=1985","layer":2},{"info":"number node, value=2658","layer":2},{"info":"compute binary expreesion, left_input=1985, right_input=2658, 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 = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟12663∀⇚≩⋋%⋟2803)≨⋋%⋟2645∳⫺⋋%⋟3573=NaN","reverse_text":"NaN=(⋋%⋟12663∀⇚≩⋋%⋟2803)≨⋋%⋟2645∳⫺⋋%⋟3573","cot":[{"info":"⋋%⋟12663∀⇚≩⋋%⋟2803=NaN","layer":1},{"info":"⋋%⋟2645∳⫺⋋%⋟3573=⋋%⋟-318","layer":1},{"info":"NaN≨⋋%⋟-318=NaN","layer":0}]}
+{"id":439,"expression_no_base_symbol":"⊙↵-($1448$∩⋅)","expression":"⊙↵-(⋋%⋟1878∩⋅)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1363,"operation_count":2,"complexity_ratio":681.5,"tree":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"unary","operator":"∩⋅","unary_expr":{"type":"numeric_atoms","value":1448,"base":9}}},"used_operators":["oWn0xqSxBt","2MzE1hQ0cz"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","Qy55tPpLXF"],"result":"⋋%⋟237","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1448","layer":2},{"info":"compute unary expreesion, input=1448, op_id = 2MzE1hQ0cz, unary_op_definition = 'a∩⋅ = { (a⋥≓≎44) }', output=-1327","layer":1},{"info":"compute unary expreesion, input=-1327, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=196","layer":0}],"base":9,"result_base":9,"text":"⊙↵-(⋋%⋟1878∩⋅)=⋋%⋟237","reverse_text":"⋋%⋟237=⊙↵-(⋋%⋟1878∩⋅)","cot":[{"info":"⋋%⋟1878∩⋅=⋋%⋟-1734","layer":1},{"info":"⊙↵-⋋%⋟-1734=⋋%⋟237","layer":0}]}
+{"id":440,"expression_no_base_symbol":"($2406$≀⩗∶$4971$)↢($7731$⩨$1691$)","expression":"(⋋%⋟3263≀⩗∶⋋%⋟6733)↢(⋋%⋟11540⩨⋋%⋟2278)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":29,"operation_count":3,"complexity_ratio":9.666666666666666,"tree":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":2406,"base":9},"right_expr":{"type":"numeric_atoms","value":4971,"base":9}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":7731,"base":9},"right_expr":{"type":"numeric_atoms","value":1691,"base":9}}},"used_operators":["WR6HLWljOP","8INZBEW696","2DlMacCsIx"],"dependent_operators":["eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"⋋%⋟-587","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2406","layer":2},{"info":"number node, value=4971","layer":2},{"info":"compute binary expreesion, left_input=2406, right_input=4971, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=-6","layer":1},{"info":"number node, value=7731","layer":2},{"info":"number node, value=1691","layer":2},{"info":"compute binary expreesion, left_input=7731, right_input=1691, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-6, right_input=0, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=-484","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟3263≀⩗∶⋋%⋟6733)↢(⋋%⋟11540⩨⋋%⋟2278)=⋋%⋟-587","reverse_text":"⋋%⋟-587=(⋋%⋟3263≀⩗∶⋋%⋟6733)↢(⋋%⋟11540⩨⋋%⋟2278)","cot":[{"info":"⋋%⋟3263≀⩗∶⋋%⋟6733=⋋%⋟-6","layer":1},{"info":"⋋%⋟11540⩨⋋%⋟2278=⋋%⋟0","layer":1},{"info":"⋋%⋟-6↢⋋%⋟0=⋋%⋟-587","layer":0}]}
+{"id":441,"expression_no_base_symbol":"(∤$4059$)∳⫺($1223$∧)","expression":"(∤⋋%⋟5510)∳⫺(⋋%⋟1608∧)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":132,"operation_count":3,"complexity_ratio":44.0,"tree":{"type":"binary","operator":"∳⫺","left_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"numeric_atoms","value":4059,"base":9}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":1223,"base":9}}},"used_operators":["AzXXKTstlj","k2HlF1dBQh","z63VuFQld9"],"dependent_operators":["F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr"],"result":"⋋%⋟-318","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=4059","layer":2},{"info":"compute unary expreesion, input=4059, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":1},{"info":"number node, value=1223","layer":2},{"info":"compute unary expreesion, input=1223, 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 binary expreesion, left_input=9, right_input=nan, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":0}],"base":9,"result_base":9,"text":"(∤⋋%⋟5510)∳⫺(⋋%⋟1608∧)=⋋%⋟-318","reverse_text":"⋋%⋟-318=(∤⋋%⋟5510)∳⫺(⋋%⋟1608∧)","cot":[{"info":"∤⋋%⋟5510=⋋%⋟10","layer":1},{"info":"⋋%⋟1608∧=NaN","layer":1},{"info":"⋋%⋟10∳⫺NaN=⋋%⋟-318","layer":0}]}
+{"id":442,"expression_no_base_symbol":"($1636$⪛⫼$2132$)⪒⊣⊆(⨂⪏⇭$8704$)","expression":"(⋋%⋟2217⪛⫼⋋%⋟2828)⪒⊣⊆(⨂⪏⇭⋋%⋟12841)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":129,"operation_count":3,"complexity_ratio":43.0,"tree":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":1636,"base":9},"right_expr":{"type":"numeric_atoms","value":2132,"base":9}},"right_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"numeric_atoms","value":8704,"base":9}}},"used_operators":["eRqsBgTDFp","hyuBjUqXlG","AYdpE9sXAk"],"dependent_operators":["sdazOOVcIp","W4YGzv6Whe","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","eewbuw0ToL","NTOWxs364D","EBcxylXtPf"],"result":"⋋%⋟2581","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1636","layer":2},{"info":"number node, value=2132","layer":2},{"info":"compute binary expreesion, left_input=1636, right_input=2132, 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":"number node, value=8704","layer":2},{"info":"compute unary expreesion, input=8704, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=25133","layer":1},{"info":"compute binary expreesion, left_input=968, right_input=25133, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=1936","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟2217⪛⫼⋋%⋟2828)⪒⊣⊆(⨂⪏⇭⋋%⋟12841)=⋋%⋟2581","reverse_text":"⋋%⋟2581=(⋋%⋟2217⪛⫼⋋%⋟2828)⪒⊣⊆(⨂⪏⇭⋋%⋟12841)","cot":[{"info":"⋋%⋟2217⪛⫼⋋%⋟2828=⋋%⋟1285","layer":1},{"info":"⨂⪏⇭⋋%⋟12841=⋋%⋟37425","layer":1},{"info":"⋋%⋟1285⪒⊣⊆⋋%⋟37425=⋋%⋟2581","layer":0}]}
+{"id":443,"expression_no_base_symbol":"$6525$⫁⪎$1427$⇄$8753$⊲⩕⊾$1210$","expression":"⋋%⋟8850⫁⪎⋋%⋟1855⇄⋋%⋟13005⊲⩕⊾⋋%⋟1584","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":39,"operation_count":3,"complexity_ratio":13.0,"tree":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":6525,"base":9},"right_expr":{"type":"numeric_atoms","value":1427,"base":9}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":8753,"base":9},"right_expr":{"type":"numeric_atoms","value":1210,"base":9}}},"used_operators":["3EYGwJThht","xRrnTEsQ6j","DmTXOeWf9t"],"dependent_operators":["eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C"],"result":"⋋%⋟0","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=6525","layer":2},{"info":"number node, value=1427","layer":2},{"info":"compute binary expreesion, left_input=6525, right_input=1427, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=5098","layer":1},{"info":"number node, value=8753","layer":2},{"info":"number node, value=1210","layer":2},{"info":"compute binary expreesion, left_input=8753, right_input=1210, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-148778","layer":1},{"info":"compute binary expreesion, left_input=5098, right_input=-148778, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟8850⫁⪎⋋%⋟1855⇄⋋%⋟13005⊲⩕⊾⋋%⋟1584=⋋%⋟0","reverse_text":"⋋%⋟0=⋋%⋟8850⫁⪎⋋%⋟1855⇄⋋%⋟13005⊲⩕⊾⋋%⋟1584","cot":[{"info":"⋋%⋟8850⫁⪎⋋%⋟1855=⋋%⋟6884","layer":1},{"info":"⋋%⋟13005⊲⩕⊾⋋%⋟1584=⋋%⋟-246068","layer":1},{"info":"⋋%⋟6884⇄⋋%⋟-246068=⋋%⋟0","layer":0}]}
+{"id":444,"expression_no_base_symbol":"$1073$⇡⇂$2199$⪒⊣⊆($4252$≎⊠⪸$6762$)","expression":"⋋%⋟1422⇡⇂⋋%⋟3013⪒⊣⊆(⋋%⋟5744≎⊠⪸⋋%⋟10243)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":10854,"operation_count":3,"complexity_ratio":3618.0,"tree":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":1073,"base":9},"right_expr":{"type":"numeric_atoms","value":2199,"base":9}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":4252,"base":9},"right_expr":{"type":"numeric_atoms","value":6762,"base":9}}},"used_operators":["eRqsBgTDFp","UMwdvZNt44","bJkvcejdHO"],"dependent_operators":["sdazOOVcIp","W4YGzv6Whe","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1073","layer":2},{"info":"number node, value=2199","layer":2},{"info":"compute binary expreesion, left_input=1073, right_input=2199, 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=4252","layer":2},{"info":"number node, value=6762","layer":2},{"info":"compute binary expreesion, left_input=4252, right_input=6762, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1100795","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1100795, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=nan","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟1422⇡⇂⋋%⋟3013⪒⊣⊆(⋋%⋟5744≎⊠⪸⋋%⋟10243)=NaN","reverse_text":"NaN=⋋%⋟1422⇡⇂⋋%⋟3013⪒⊣⊆(⋋%⋟5744≎⊠⪸⋋%⋟10243)","cot":[{"info":"⋋%⋟1422⇡⇂⋋%⋟3013=NaN","layer":1},{"info":"⋋%⋟5744≎⊠⪸⋋%⋟10243=⋋%⋟2057005","layer":1},{"info":"NaN⪒⊣⊆⋋%⋟2057005=NaN","layer":0}]}
+{"id":445,"expression_no_base_symbol":"($1556$≒∊$2979$)⨂≜($1175$↱$1735$)","expression":"(⋋%⋟2118≒∊⋋%⋟4070)⨂≜(⋋%⋟1545↱⋋%⋟2337)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1158,"operation_count":3,"complexity_ratio":386.0,"tree":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":1556,"base":9},"right_expr":{"type":"numeric_atoms","value":2979,"base":9}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":1175,"base":9},"right_expr":{"type":"numeric_atoms","value":1735,"base":9}}},"used_operators":["k1SHOSEABc","5KTvxBwnZo","SR5kFfdi6N"],"dependent_operators":["9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1556","layer":2},{"info":"number node, value=2979","layer":2},{"info":"compute binary expreesion, left_input=1556, right_input=2979, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-1072","layer":1},{"info":"number node, value=1175","layer":2},{"info":"number node, value=1735","layer":2},{"info":"compute binary expreesion, left_input=1175, right_input=1735, 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=-4683","layer":1},{"info":"compute binary expreesion, left_input=-1072, right_input=-4683, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟2118≒∊⋋%⋟4070)⨂≜(⋋%⋟1545↱⋋%⋟2337)=NaN","reverse_text":"NaN=(⋋%⋟2118≒∊⋋%⋟4070)⨂≜(⋋%⋟1545↱⋋%⋟2337)","cot":[{"info":"⋋%⋟2118≒∊⋋%⋟4070=⋋%⋟-1421","layer":1},{"info":"⋋%⋟1545↱⋋%⋟2337=⋋%⋟-6373","layer":1},{"info":"⋋%⋟-1421⨂≜⋋%⋟-6373=NaN","layer":0}]}
+{"id":446,"expression_no_base_symbol":"(⫎≠⋺$1209$)∙∹∝$6063$⊔$3400$","expression":"(⫎≠⋺⋋%⋟1583)∙∹∝⋋%⋟8276⊔⋋%⋟4587","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":39,"operation_count":3,"complexity_ratio":13.0,"tree":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"numeric_atoms","value":1209,"base":9}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":6063,"base":9},"right_expr":{"type":"numeric_atoms","value":3400,"base":9}}},"used_operators":["HmxsFra2vL","LYeZOJ0nQG","E4l6HwMY31"],"dependent_operators":["BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q"],"result":"⋋%⋟0","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1209","layer":2},{"info":"compute unary expreesion, input=1209, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=0","layer":1},{"info":"number node, value=6063","layer":2},{"info":"number node, value=3400","layer":2},{"info":"compute binary expreesion, left_input=6063, right_input=3400, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=26726","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=26726, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":0}],"base":9,"result_base":9,"text":"(⫎≠⋺⋋%⋟1583)∙∹∝⋋%⋟8276⊔⋋%⋟4587=⋋%⋟0","reverse_text":"⋋%⋟0=(⫎≠⋺⋋%⋟1583)∙∹∝⋋%⋟8276⊔⋋%⋟4587","cot":[{"info":"⫎≠⋺⋋%⋟1583=⋋%⋟0","layer":1},{"info":"⋋%⋟8276⊔⋋%⋟4587=⋋%⋟40585","layer":1},{"info":"⋋%⋟0∙∹∝⋋%⋟40585=⋋%⋟0","layer":0}]}
+{"id":447,"expression_no_base_symbol":"(⩪∧⨌$2711$)⫢⨠$4163$∣$3348$","expression":"(⩪∧⨌⋋%⋟3642)⫢⨠⋋%⋟5635∣⋋%⋟4530","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":75,"operation_count":3,"complexity_ratio":25.0,"tree":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"numeric_atoms","value":2711,"base":9}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":4163,"base":9},"right_expr":{"type":"numeric_atoms","value":3348,"base":9}}},"used_operators":["xlXykHWxX1","6iOiAJX1F8","PPChnnnBFF"],"dependent_operators":["KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI"],"result":"⋋%⋟187","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2711","layer":2},{"info":"compute unary expreesion, input=2711, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=27110","layer":1},{"info":"number node, value=4163","layer":2},{"info":"number node, value=3348","layer":2},{"info":"compute binary expreesion, left_input=4163, right_input=3348, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=4163","layer":1},{"info":"compute binary expreesion, left_input=27110, right_input=4163, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":0}],"base":9,"result_base":9,"text":"(⩪∧⨌⋋%⋟3642)⫢⨠⋋%⋟5635∣⋋%⋟4530=⋋%⋟187","reverse_text":"⋋%⋟187=(⩪∧⨌⋋%⋟3642)⫢⨠⋋%⋟5635∣⋋%⋟4530","cot":[{"info":"⩪∧⨌⋋%⋟3642=⋋%⋟41162","layer":1},{"info":"⋋%⋟5635∣⋋%⋟4530=⋋%⋟5635","layer":1},{"info":"⋋%⋟41162⫢⨠⋋%⋟5635=⋋%⋟187","layer":0}]}
+{"id":448,"expression_no_base_symbol":"(≉$1839$)∀⇚≩($2743$⇴$5326$)","expression":"(≉⋋%⋟2463)∀⇚≩(⋋%⋟3677⇴⋋%⋟7267)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":16606,"operation_count":3,"complexity_ratio":5535.333333333333,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1839,"base":9}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":2743,"base":9},"right_expr":{"type":"numeric_atoms","value":5326,"base":9}}},"used_operators":["LRNGc0VcxI","e1ybzncUwg","4JB6nKBMSY"],"dependent_operators":["X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","NTOWxs364D","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1839","layer":2},{"info":"compute unary expreesion, input=1839, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2370","layer":1},{"info":"number node, value=2743","layer":2},{"info":"number node, value=5326","layer":2},{"info":"compute binary expreesion, left_input=2743, right_input=5326, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=26724","layer":1},{"info":"compute binary expreesion, left_input=2370, right_input=26724, 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":9,"result_base":9,"text":"(≉⋋%⋟2463)∀⇚≩(⋋%⋟3677⇴⋋%⋟7267)=NaN","reverse_text":"NaN=(≉⋋%⋟2463)∀⇚≩(⋋%⋟3677⇴⋋%⋟7267)","cot":[{"info":"≉⋋%⋟2463=⋋%⋟3223","layer":1},{"info":"⋋%⋟3677⇴⋋%⋟7267=⋋%⋟40583","layer":1},{"info":"⋋%⋟3223∀⇚≩⋋%⋟40583=NaN","layer":0}]}
+{"id":449,"expression_no_base_symbol":"⫶⊄≣(⊖∈$1003$)","expression":"⫶⊄≣(⊖∈⋋%⋟1334)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":14549,"operation_count":2,"complexity_ratio":7274.5,"tree":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"numeric_atoms","value":1003,"base":9}}},"used_operators":["wxb3vTeyAj","YFxL8Sc2Zy"],"dependent_operators":["eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu"],"result":"Inf","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1003","layer":2},{"info":"compute unary expreesion, input=1003, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=14466","layer":1},{"info":"compute unary expreesion, input=14466, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=inf","layer":0}],"base":9,"result_base":9,"text":"⫶⊄≣(⊖∈⋋%⋟1334)=Inf","reverse_text":"Inf=⫶⊄≣(⊖∈⋋%⋟1334)","cot":[{"info":"⊖∈⋋%⋟1334=⋋%⋟21753","layer":1},{"info":"⫶⊄≣⋋%⋟21753=Inf","layer":0}]}
+{"id":450,"expression_no_base_symbol":"∐⩳⋚(⩦⩻⨪$2925$)","expression":"∐⩳⋚(⩦⩻⨪⋋%⋟4010)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":174,"operation_count":2,"complexity_ratio":87.0,"tree":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":2925,"base":9}}},"used_operators":["SL6IHkK8vl","2td37pGCOC"],"dependent_operators":["s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","rysDP5nf3Z","t8gj7n24qd"],"result":"⋋%⋟714574","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2925","layer":2},{"info":"compute unary expreesion, input=2925, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2925","layer":1},{"info":"compute unary expreesion, input=2925, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=423292","layer":0}],"base":9,"result_base":9,"text":"∐⩳⋚(⩦⩻⨪⋋%⋟4010)=⋋%⋟714574","reverse_text":"⋋%⋟714574=∐⩳⋚(⩦⩻⨪⋋%⋟4010)","cot":[{"info":"⩦⩻⨪⋋%⋟4010=⋋%⋟4010","layer":1},{"info":"∐⩳⋚⋋%⋟4010=⋋%⋟714574","layer":0}]}
+{"id":451,"expression_no_base_symbol":"($5402$≀⫉$1331$)≝⊿($2195$≑≱⪘)","expression":"(⋋%⋟7362≀⫉⋋%⋟1738)≝⊿(⋋%⋟3008≑≱⪘)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":283,"operation_count":3,"complexity_ratio":94.33333333333333,"tree":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":5402,"base":9},"right_expr":{"type":"numeric_atoms","value":1331,"base":9}},"right_expr":{"type":"unary","operator":"≑≱⪘","unary_expr":{"type":"numeric_atoms","value":2195,"base":9}}},"used_operators":["OKKcZfAt5B","oZj3VtZNQx","tGSeddj7UK"],"dependent_operators":["12rbrZMWeM","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn"],"result":"⋋%⋟-177172","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=5402","layer":2},{"info":"number node, value=1331","layer":2},{"info":"compute binary expreesion, left_input=5402, right_input=1331, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":1},{"info":"number node, value=2195","layer":2},{"info":"compute unary expreesion, input=2195, 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=53435","layer":1},{"info":"compute binary expreesion, left_input=2822, right_input=53435, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-110225","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟7362≀⫉⋋%⋟1738)≝⊿(⋋%⋟3008≑≱⪘)=⋋%⋟-177172","reverse_text":"⋋%⋟-177172=(⋋%⋟7362≀⫉⋋%⋟1738)≝⊿(⋋%⋟3008≑≱⪘)","cot":[{"info":"⋋%⋟7362≀⫉⋋%⋟1738=⋋%⋟3775","layer":1},{"info":"⋋%⋟3008≑≱⪘=⋋%⋟81262","layer":1},{"info":"⋋%⋟3775≝⊿⋋%⋟81262=⋋%⋟-177172","layer":0}]}
+{"id":452,"expression_no_base_symbol":"($2511$⊴$4838$)⊍","expression":"(⋋%⋟3400⊴⋋%⋟6565)⊍","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4861,"operation_count":2,"complexity_ratio":2430.5,"tree":{"type":"unary","operator":"⊍","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2511,"base":9},"right_expr":{"type":"numeric_atoms","value":4838,"base":9}}},"used_operators":["3nqY3DE9mg","Nsiff2A1zJ"],"dependent_operators":["8w2t5hMYqp","AF7qkfDlqP","12rbrZMWeM","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=2511","layer":2},{"info":"number node, value=4838","layer":2},{"info":"compute binary expreesion, left_input=2511, right_input=4838, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 3nqY3DE9mg, unary_op_definition = 'a⊍ = { (⊄⩳↩(⨑⩽⪐(a⋳⪒a))) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟3400⊴⋋%⋟6565)⊍=NaN","reverse_text":"NaN=(⋋%⋟3400⊴⋋%⋟6565)⊍","cot":[{"info":"⋋%⋟3400⊴⋋%⋟6565=NaN","layer":1},{"info":"NaN⊍=NaN","layer":0}]}
+{"id":453,"expression_no_base_symbol":"($5859$⨴∎)⋥≓≎$7552$⋅⇍$3810$","expression":"(⋋%⋟8030⨴∎)⋥≓≎⋋%⋟11321⋅⇍⋋%⋟5203","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5905,"operation_count":3,"complexity_ratio":1968.3333333333333,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⨴∎","unary_expr":{"type":"numeric_atoms","value":5859,"base":9}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":7552,"base":9},"right_expr":{"type":"numeric_atoms","value":3810,"base":9}}},"used_operators":["Qy55tPpLXF","CpSg5vQTgA","AdZkA7nFnk"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Q3PJZHRvZv","s1XTVnmDOJ","VEQNXA0ZBg","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6"],"result":"⋋%⋟74","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=5859","layer":2},{"info":"compute unary expreesion, input=5859, op_id = CpSg5vQTgA, unary_op_definition = 'a⨴∎ = { (⊥a) , if (a≓∲156)<=233 or (a⪗)>744 ; a , else }', output=nan","layer":1},{"info":"number node, value=7552","layer":2},{"info":"number node, value=3810","layer":2},{"info":"compute binary expreesion, left_input=7552, right_input=3810, 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 = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟8030⨴∎)⋥≓≎⋋%⋟11321⋅⇍⋋%⋟5203=⋋%⋟74","reverse_text":"⋋%⋟74=(⋋%⋟8030⨴∎)⋥≓≎⋋%⋟11321⋅⇍⋋%⋟5203","cot":[{"info":"⋋%⋟8030⨴∎=NaN","layer":1},{"info":"⋋%⋟11321⋅⇍⋋%⋟5203=⋋%⋟-24","layer":1},{"info":"NaN⋥≓≎⋋%⋟-24=⋋%⋟74","layer":0}]}
+{"id":454,"expression_no_base_symbol":"⊥($6595$⪘⫢$3704$)","expression":"⊥(⋋%⋟10037⪘⫢⋋%⋟5065)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":16,"operation_count":2,"complexity_ratio":8.0,"tree":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":6595,"base":9},"right_expr":{"type":"numeric_atoms","value":3704,"base":9}}},"used_operators":["Q3PJZHRvZv","oacrs7FA3X"],"dependent_operators":["fu6greOZ01","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=6595","layer":2},{"info":"number node, value=3704","layer":2},{"info":"compute binary expreesion, left_input=6595, right_input=3704, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=13066","layer":1},{"info":"compute unary expreesion, input=13066, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"⊥(⋋%⋟10037⪘⫢⋋%⋟5065)=NaN","reverse_text":"NaN=⊥(⋋%⋟10037⪘⫢⋋%⋟5065)","cot":[{"info":"⋋%⋟10037⪘⫢⋋%⋟5065=⋋%⋟18827","layer":1},{"info":"⊥⋋%⋟18827=NaN","layer":0}]}
+{"id":455,"expression_no_base_symbol":"($7444$⨳⩥⨓$6064$)⋥⋵⩄($1989$≓∲$9493$)","expression":"(⋋%⋟11181⨳⩥⨓⋋%⋟8277)⋥⋵⩄(⋋%⋟2650≓∲⋋%⋟14017)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":78,"operation_count":3,"complexity_ratio":26.0,"tree":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":7444,"base":9},"right_expr":{"type":"numeric_atoms","value":6064,"base":9}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":1989,"base":9},"right_expr":{"type":"numeric_atoms","value":9493,"base":9}}},"used_operators":["7t3wd0Fuz7","nCS4ZIUYfx","s1XTVnmDOJ"],"dependent_operators":["IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","W4YGzv6Whe","rysDP5nf3Z","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu"],"result":"⋋%⋟135","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=7444","layer":2},{"info":"number node, value=6064","layer":2},{"info":"compute binary expreesion, left_input=7444, right_input=6064, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1380","layer":1},{"info":"number node, value=1989","layer":2},{"info":"number node, value=9493","layer":2},{"info":"compute binary expreesion, left_input=1989, right_input=9493, 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=20673","layer":1},{"info":"compute binary expreesion, left_input=-1380, right_input=20673, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟11181⨳⩥⨓⋋%⋟8277)⋥⋵⩄(⋋%⋟2650≓∲⋋%⋟14017)=⋋%⋟135","reverse_text":"⋋%⋟135=(⋋%⋟11181⨳⩥⨓⋋%⋟8277)⋥⋵⩄(⋋%⋟2650≓∲⋋%⋟14017)","cot":[{"info":"⋋%⋟11181⨳⩥⨓⋋%⋟8277=⋋%⋟-1803","layer":1},{"info":"⋋%⋟2650≓∲⋋%⋟14017=⋋%⋟31320","layer":1},{"info":"⋋%⋟-1803⋥⋵⩄⋋%⋟31320=⋋%⋟135","layer":0}]}
+{"id":456,"expression_no_base_symbol":"⊵⊁($4850$⩠)","expression":"⊵⊁(⋋%⋟6578⩠)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":19,"operation_count":2,"complexity_ratio":9.5,"tree":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":4850,"base":9}}},"used_operators":["AvED76WdY7","sJAwomhLZr"],"dependent_operators":["uBihLCJcMX","k8jYdgA6NY","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=4850","layer":2},{"info":"compute unary expreesion, input=4850, 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 = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=nan","layer":0}],"base":9,"result_base":9,"text":"⊵⊁(⋋%⋟6578⩠)=NaN","reverse_text":"NaN=⊵⊁(⋋%⋟6578⩠)","cot":[{"info":"⋋%⋟6578⩠=⋋%⋟0","layer":1},{"info":"⊵⊁⋋%⋟0=NaN","layer":0}]}
+{"id":457,"expression_no_base_symbol":"(⨦⪝$3188$)≄⊠($1386$∷$1534$)","expression":"(⨦⪝⋋%⋟4332)≄⊠(⋋%⋟1810∷⋋%⋟2084)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":91,"operation_count":3,"complexity_ratio":30.333333333333332,"tree":{"type":"binary","operator":"≄⊠","left_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"numeric_atoms","value":3188,"base":9}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":1386,"base":9},"right_expr":{"type":"numeric_atoms","value":1534,"base":9}}},"used_operators":["vXNesLlMH1","SUjycxNXIR","D3AQDKkPcf"],"dependent_operators":["d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","9FxExcQeMw","NTOWxs364D","7j4O788W3g"],"result":"⋋%⋟44057","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3188","layer":2},{"info":"compute unary expreesion, input=3188, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":1},{"info":"number node, value=1386","layer":2},{"info":"number node, value=1534","layer":2},{"info":"compute binary expreesion, left_input=1386, right_input=1534, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=1534","layer":1},{"info":"compute binary expreesion, left_input=-1884, right_input=1534, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=29212","layer":0}],"base":9,"result_base":9,"text":"(⨦⪝⋋%⋟4332)≄⊠(⋋%⋟1810∷⋋%⋟2084)=⋋%⋟44057","reverse_text":"⋋%⋟44057=(⨦⪝⋋%⋟4332)≄⊠(⋋%⋟1810∷⋋%⋟2084)","cot":[{"info":"⨦⪝⋋%⋟4332=⋋%⋟-2523","layer":1},{"info":"⋋%⋟1810∷⋋%⋟2084=⋋%⋟2084","layer":1},{"info":"⋋%⋟-2523≄⊠⋋%⋟2084=⋋%⋟44057","layer":0}]}
+{"id":458,"expression_no_base_symbol":"(⊖∈$3373$)⪔⊥($1274$∠↢$1235$)","expression":"(⊖∈⋋%⋟4557)⪔⊥(⋋%⋟1665∠↢⋋%⋟1622)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":75,"operation_count":3,"complexity_ratio":25.0,"tree":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"numeric_atoms","value":3373,"base":9}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":1274,"base":9},"right_expr":{"type":"numeric_atoms","value":1235,"base":9}}},"used_operators":["HJ9erzHUuu","YFxL8Sc2Zy","KbjG8mgYpV"],"dependent_operators":["eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C"],"result":"⋋%⋟-102682","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3373","layer":2},{"info":"compute unary expreesion, input=3373, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=61866","layer":1},{"info":"number node, value=1274","layer":2},{"info":"number node, value=1235","layer":2},{"info":"compute binary expreesion, left_input=1274, right_input=1235, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-21304","layer":1},{"info":"compute binary expreesion, left_input=61866, right_input=-21304, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦���⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=-61067","layer":0}],"base":9,"result_base":9,"text":"(⊖∈⋋%⋟4557)⪔⊥(⋋%⋟1665∠↢⋋%⋟1622)=⋋%⋟-102682","reverse_text":"⋋%⋟-102682=(⊖∈⋋%⋟4557)⪔⊥(⋋%⋟1665∠↢⋋%⋟1622)","cot":[{"info":"⊖∈⋋%⋟4557=⋋%⋟103770","layer":1},{"info":"⋋%⋟1665∠↢⋋%⋟1622=⋋%⋟-32201","layer":1},{"info":"⋋%⋟103770⪔⊥⋋%⋟-32201=⋋%⋟-102682","layer":0}]}
+{"id":459,"expression_no_base_symbol":"(⊤⊝$6658$)⪒⊣⊆$3148$≴⪞⇿$3013$","expression":"(⊤⊝⋋%⋟10117)⪒⊣⊆⋋%⋟4277≴⪞⇿⋋%⋟4117","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2916,"operation_count":3,"complexity_ratio":972.0,"tree":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"numeric_atoms","value":6658,"base":9}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":3148,"base":9},"right_expr":{"type":"numeric_atoms","value":3013,"base":9}}},"used_operators":["eRqsBgTDFp","rXAclfmB4M","lvlrscuwVU"],"dependent_operators":["sdazOOVcIp","W4YGzv6Whe","sdazOOVcIp","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP"],"result":"⋋%⋟35866","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=6658","layer":2},{"info":"compute unary expreesion, input=6658, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=12018","layer":1},{"info":"number node, value=3148","layer":2},{"info":"number node, value=3013","layer":2},{"info":"compute binary expreesion, left_input=3148, right_input=3013, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=16531484","layer":1},{"info":"compute binary expreesion, left_input=12018, right_input=16531484, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=24036","layer":0}],"base":9,"result_base":9,"text":"(⊤⊝⋋%⋟10117)⪒⊣⊆⋋%⋟4277≴⪞⇿⋋%⋟4117=⋋%⋟35866","reverse_text":"⋋%⋟35866=(⊤⊝⋋%⋟10117)⪒⊣⊆⋋%⋟4277≴⪞⇿⋋%⋟4117","cot":[{"info":"⊤⊝⋋%⋟10117=⋋%⋟17433","layer":1},{"info":"⋋%⋟4277≴⪞⇿⋋%⋟4117=⋋%⋟34085835","layer":1},{"info":"⋋%⋟17433⪒⊣⊆⋋%⋟34085835=⋋%⋟35866","layer":0}]}
+{"id":460,"expression_no_base_symbol":"($1651$-$3068$)⨸($2738$≣⋋)","expression":"(⋋%⋟2234-⋋%⋟4178)⨸(⋋%⋟3672≣⋋)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2043,"operation_count":3,"complexity_ratio":681.0,"tree":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1651,"base":9},"right_expr":{"type":"numeric_atoms","value":3068,"base":9}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":2738,"base":9}}},"used_operators":["KmoU8R5UQR","rysDP5nf3Z","Tcnh7f0tEr"],"dependent_operators":["ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A"],"result":"⋋%⋟3788","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1651","layer":2},{"info":"number node, value=3068","layer":2},{"info":"compute binary expreesion, left_input=1651, right_input=3068, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1417","layer":1},{"info":"number node, value=2738","layer":2},{"info":"compute unary expreesion, input=2738, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-1417, right_input=0, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=2834","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟2234-⋋%⋟4178)⨸(⋋%⋟3672≣⋋)=⋋%⋟3788","reverse_text":"⋋%⋟3788=(⋋%⋟2234-⋋%⋟4178)⨸(⋋%⋟3672≣⋋)","cot":[{"info":"⋋%⋟2234-⋋%⋟4178=⋋%⋟-1844","layer":1},{"info":"⋋%⋟3672≣⋋=⋋%⋟0","layer":1},{"info":"⋋%⋟-1844⨸⋋%⋟0=⋋%⋟3788","layer":0}]}
+{"id":461,"expression_no_base_symbol":"$3038$∑⇟⊟$2612$⇀∌","expression":"⋋%⋟4145∑⇟⊟⋋%⋟3522⇀∌","highest_n_order":4,"priority_hierarchical_complexity":1,"normalized_expansion_degree":55,"operation_count":2,"complexity_ratio":27.5,"tree":{"type":"unary","operator":"⇀∌","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3038,"base":9},"right_expr":{"type":"numeric_atoms","value":2612,"base":9}}},"used_operators":["2k53nXOpI5","U7g4x0WXJJ"],"dependent_operators":["Q3PJZHRvZv","ddLRYrp01A","AcOhelriW5","7t3wd0Fuz7","3tVxb0NHM4","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=3038","layer":2},{"info":"number node, value=2612","layer":2},{"info":"compute binary expreesion, left_input=3038, right_input=2612, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , 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":9,"result_base":9,"text":"⋋%⋟4145∑⇟⊟⋋%⋟3522⇀∌=NaN","reverse_text":"NaN=⋋%⋟4145∑⇟⊟⋋%⋟3522⇀∌","cot":[{"info":"⋋%⋟4145∑⇟⊟⋋%⋟3522=NaN","layer":1},{"info":"NaN⇀∌=NaN","layer":0}]}
+{"id":462,"expression_no_base_symbol":"($1772$∳⫺$3382$)⨔⇊($1144$⪕$3738$)","expression":"(⋋%⋟2378∳⫺⋋%⋟4567)⨔⇊(⋋%⋟1511⪕⋋%⋟5113)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":92,"operation_count":3,"complexity_ratio":30.666666666666668,"tree":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":1772,"base":9},"right_expr":{"type":"numeric_atoms","value":3382,"base":9}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":1144,"base":9},"right_expr":{"type":"numeric_atoms","value":3738,"base":9}}},"used_operators":["JclMnS0uGI","AzXXKTstlj","umQnsF7QlU"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF"],"result":"⋋%⋟-2111","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1772","layer":2},{"info":"number node, value=3382","layer":2},{"info":"compute binary expreesion, left_input=1772, right_input=3382, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":1},{"info":"number node, value=1144","layer":2},{"info":"number node, value=3738","layer":2},{"info":"compute binary expreesion, left_input=1144, right_input=3738, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=-55","layer":1},{"info":"compute binary expreesion, left_input=-260, right_input=-55, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=-1549","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟2378∳⫺⋋%⋟4567)⨔⇊(⋋%⋟1511⪕⋋%⋟5113)=⋋%⋟-2111","reverse_text":"⋋%⋟-2111=(⋋%⋟2378∳⫺⋋%⋟4567)⨔⇊(⋋%⋟1511⪕⋋%⋟5113)","cot":[{"info":"⋋%⋟2378∳⫺⋋%⋟4567=⋋%⋟-318","layer":1},{"info":"⋋%⋟1511⪕⋋%⋟5113=⋋%⋟-61","layer":1},{"info":"⋋%⋟-318⨔⇊⋋%⋟-61=⋋%⋟-2111","layer":0}]}
+{"id":463,"expression_no_base_symbol":"($2935$⩹$2967$)⊋(≀↧⇸$7945$)","expression":"(⋋%⋟4021⩹⋋%⋟4056)⊋(≀↧⇸⋋%⋟11807)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":25819,"operation_count":3,"complexity_ratio":8606.333333333334,"tree":{"type":"binary","operator":"⊋","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":2935,"base":9},"right_expr":{"type":"numeric_atoms","value":2967,"base":9}},"right_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"numeric_atoms","value":7945,"base":9}}},"used_operators":["W4tP9CfskL","2Wsdkap16l","ljTHtUsqzn"],"dependent_operators":["2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","XPYlsWDdGa","23Mk6UjR3U"],"result":"⋋%⋟-4176625702","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2935","layer":2},{"info":"number node, value=2967","layer":2},{"info":"compute binary expreesion, left_input=2935, right_input=2967, 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=2965","layer":1},{"info":"number node, value=7945","layer":2},{"info":"compute unary expreesion, input=7945, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=15890","layer":1},{"info":"compute binary expreesion, left_input=2965, right_input=15890, 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=-1629769736","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟4021⩹⋋%⋟4056)⊋(≀↧⇸⋋%⋟11807)=⋋%⋟-4176625702","reverse_text":"⋋%⋟-4176625702=(⋋%⋟4021⩹⋋%⋟4056)⊋(≀↧⇸⋋%⋟11807)","cot":[{"info":"⋋%⋟4021⩹⋋%⋟4056=⋋%⋟4054","layer":1},{"info":"≀↧⇸⋋%⋟11807=⋋%⋟23715","layer":1},{"info":"⋋%⋟4054⊋⋋%⋟23715=⋋%⋟-4176625702","layer":0}]}
+{"id":464,"expression_no_base_symbol":"$2145$⇤$4224$⋻⩜⩜($1778$⊘)","expression":"⋋%⋟2843⇤⋋%⋟5713⋻⩜⩜(⋋%⋟2385⊘)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":46,"operation_count":3,"complexity_ratio":15.333333333333334,"tree":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":2145,"base":9},"right_expr":{"type":"numeric_atoms","value":4224,"base":9}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":1778,"base":9}}},"used_operators":["oDCm7WA9JY","YSKBFp38Pu","gu96TGCTMs"],"dependent_operators":["mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D"],"result":"⋋%⋟0","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2145","layer":2},{"info":"number node, value=4224","layer":2},{"info":"compute binary expreesion, left_input=2145, right_input=4224, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-28997","layer":1},{"info":"number node, value=1778","layer":2},{"info":"compute unary expreesion, input=1778, 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":1},{"info":"compute binary expreesion, left_input=-28997, 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":0}],"base":9,"result_base":9,"text":"⋋%⋟2843⇤⋋%⋟5713⋻⩜⩜(⋋%⋟2385⊘)=⋋%⋟0","reverse_text":"⋋%⋟0=⋋%⋟2843⇤⋋%⋟5713⋻⩜⩜(⋋%⋟2385⊘)","cot":[{"info":"⋋%⋟2843⇤⋋%⋟5713=⋋%⋟-43688","layer":1},{"info":"⋋%⋟2385⊘=⋋%⋟0","layer":1},{"info":"⋋%⋟-43688⋻⩜⩜⋋%⋟0=⋋%⋟0","layer":0}]}
+{"id":465,"expression_no_base_symbol":"($2798$⊚⫡⫭)⩏","expression":"(⋋%⋟3748⊚⫡⫭)⩏","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":249,"operation_count":2,"complexity_ratio":124.5,"tree":{"type":"unary","operator":"⩏","unary_expr":{"type":"unary","operator":"⊚⫡⫭","unary_expr":{"type":"numeric_atoms","value":2798,"base":9}}},"used_operators":["iA2gmKZ3Wj","SpZWOsLKZJ"],"dependent_operators":["z6LnFrNh4i","Tcnh7f0tEr","P8v4zCKN1o","rysDP5nf3Z","e1ybzncUwg","N41Kp7NANJ","sdazOOVcIp","Ph9nP6C5qx"],"result":"⋋%⋟0","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2798","layer":2},{"info":"compute unary expreesion, input=2798, op_id = SpZWOsLKZJ, unary_op_definition = 'a⊚⫡⫭ = { (((∥⊫a)≧⫂∧(≉a))⪨≂((177-a)≋⫹)) }', output=-4670","layer":1},{"info":"compute unary expreesion, input=-4670, op_id = iA2gmKZ3Wj, unary_op_definition = 'a⩏ = { ((a⋕⪉⪜272)≣⋋) }', output=0","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟3748⊚⫡⫭)⩏=⋋%⋟0","reverse_text":"⋋%⋟0=(⋋%⋟3748⊚⫡⫭)⩏","cot":[{"info":"⋋%⋟3748⊚⫡⫭=⋋%⋟-6358","layer":1},{"info":"⋋%⋟-6358⩏=⋋%⋟0","layer":0}]}
+{"id":466,"expression_no_base_symbol":"(↩⪖$1741$)∑⇟⊟$1883$↬$1146$","expression":"(↩⪖⋋%⋟2344)∑⇟⊟⋋%⋟2522↬⋋%⋟1513","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":22,"operation_count":3,"complexity_ratio":7.333333333333333,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"numeric_atoms","value":1741,"base":9}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1883,"base":9},"right_expr":{"type":"numeric_atoms","value":1146,"base":9}}},"used_operators":["U7g4x0WXJJ","fG6uBQFnGz","B5M0gjZbta"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1741","layer":2},{"info":"compute unary expreesion, input=1741, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-13428","layer":1},{"info":"number node, value=1883","layer":2},{"info":"number node, value=1146","layer":2},{"info":"compute binary expreesion, left_input=1883, right_input=1146, 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=-13428, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(↩⪖⋋%⋟2344)∑⇟⊟⋋%⋟2522↬⋋%⋟1513=NaN","reverse_text":"NaN=(↩⪖⋋%⋟2344)∑⇟⊟⋋%⋟2522↬⋋%⋟1513","cot":[{"info":"↩⪖⋋%⋟2344=⋋%⋟-20370","layer":1},{"info":"⋋%⋟2522↬⋋%⋟1513=NaN","layer":1},{"info":"⋋%⋟-20370∑⇟⊟NaN=NaN","layer":0}]}
+{"id":467,"expression_no_base_symbol":"⇾⩊⇾$3360$⫁$5867$","expression":"⇾⩊⇾⋋%⋟4543⫁⋋%⋟8038","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":109,"operation_count":2,"complexity_ratio":54.5,"tree":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":3360,"base":9},"right_expr":{"type":"numeric_atoms","value":5867,"base":9}}},"used_operators":["bx9Z9DAK5y","0ajvFaJAv0"],"dependent_operators":["W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","cHh1gJQ2o6","AHs5Up7iyr"],"result":"⋋%⋟-11776","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3360","layer":2},{"info":"number node, value=5867","layer":2},{"info":"compute binary expreesion, left_input=3360, right_input=5867, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":1},{"info":"compute unary expreesion, input=160, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-7926","layer":0}],"base":9,"result_base":9,"text":"⇾⩊⇾⋋%⋟4543⫁⋋%⋟8038=⋋%⋟-11776","reverse_text":"⋋%⋟-11776=⇾⩊⇾⋋%⋟4543⫁⋋%⋟8038","cot":[{"info":"⋋%⋟4543⫁⋋%⋟8038=⋋%⋟187","layer":1},{"info":"⇾⩊⇾⋋%⋟187=⋋%⋟-11776","layer":0}]}
+{"id":468,"expression_no_base_symbol":"⫟$2149$↞⋁$4088$","expression":"⫟⋋%⋟2847↞⋁⋋%⋟5542","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":188,"operation_count":2,"complexity_ratio":94.0,"tree":{"type":"unary","operator":"⫟","unary_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":2149,"base":9},"right_expr":{"type":"numeric_atoms","value":4088,"base":9}}},"used_operators":["z4E1FaHLuy","RqrPlJkxDo"],"dependent_operators":["9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","Uaa54Peajs","CArV6hThFE","13rbtpv6ld"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=2149","layer":2},{"info":"number node, value=4088","layer":2},{"info":"compute binary expreesion, left_input=2149, right_input=4088, 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 = 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":9,"result_base":9,"text":"⫟⋋%⋟2847↞⋁⋋%⋟5542=NaN","reverse_text":"NaN=⫟⋋%⋟2847↞⋁⋋%⋟5542","cot":[{"info":"⋋%⋟2847↞⋁⋋%⋟5542=NaN","layer":1},{"info":"⫟NaN=NaN","layer":0}]}
+{"id":469,"expression_no_base_symbol":"(⩰$1000$)⋥≓≎$7221$⩺⪪$1237$","expression":"(⩰⋋%⋟1331)⋥≓≎⋋%⋟10813⩺⪪⋋%⋟1624","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":135,"operation_count":3,"complexity_ratio":45.0,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"numeric_atoms","value":1000,"base":9}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":7221,"base":9},"right_expr":{"type":"numeric_atoms","value":1237,"base":9}}},"used_operators":["Qy55tPpLXF","WkeUrDK8WX","uvdQJvN4PV"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U"],"result":"⋋%⋟74","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1000","layer":2},{"info":"compute unary expreesion, input=1000, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-2000","layer":1},{"info":"number node, value=7221","layer":2},{"info":"number node, value=1237","layer":2},{"info":"compute binary expreesion, left_input=7221, right_input=1237, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-96642","layer":1},{"info":"compute binary expreesion, left_input=-2000, right_input=-96642, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":0}],"base":9,"result_base":9,"text":"(⩰⋋%⋟1331)⋥≓≎⋋%⋟10813⩺⪪⋋%⋟1624=⋋%⋟74","reverse_text":"⋋%⋟74=(⩰⋋%⋟1331)⋥≓≎⋋%⋟10813⩺⪪⋋%⋟1624","cot":[{"info":"⩰⋋%⋟1331=⋋%⋟-2662","layer":1},{"info":"⋋%⋟10813⩺⪪⋋%⋟1624=⋋%⋟-156510","layer":1},{"info":"⋋%⋟-2662⋥≓≎⋋%⋟-156510=⋋%⋟74","layer":0}]}
+{"id":470,"expression_no_base_symbol":"⊿$5093$⫸⊐$4473$","expression":"⊿⋋%⋟6878⫸⊐⋋%⋟6120","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":47,"operation_count":2,"complexity_ratio":23.5,"tree":{"type":"unary","operator":"⊿","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":5093,"base":9},"right_expr":{"type":"numeric_atoms","value":4473,"base":9}}},"used_operators":["DO4fhlbJSI","mqXw5SEYmG"],"dependent_operators":["9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"⋋%⋟-118444","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=5093","layer":2},{"info":"number node, value=4473","layer":2},{"info":"compute binary expreesion, left_input=5093, right_input=4473, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=17767","layer":1},{"info":"compute unary expreesion, input=17767, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-71806","layer":0}],"base":9,"result_base":9,"text":"⊿⋋%⋟6878⫸⊐⋋%⋟6120=⋋%⋟-118444","reverse_text":"⋋%⋟-118444=⊿⋋%⋟6878⫸⊐⋋%⋟6120","cot":[{"info":"⋋%⋟6878⫸⊐⋋%⋟6120=⋋%⋟26331","layer":1},{"info":"⊿⋋%⋟26331=⋋%⋟-118444","layer":0}]}
+{"id":471,"expression_no_base_symbol":"($2993$≹⇙⪍$5261$)⫁⪎($4138$⩇∃⫛$7932$)","expression":"(⋋%⋟4085≹⇙⪍⋋%⋟7185)⫁⪎(⋋%⋟5607⩇∃⫛⋋%⋟11783)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":22,"operation_count":3,"complexity_ratio":7.333333333333333,"tree":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2993,"base":9},"right_expr":{"type":"numeric_atoms","value":5261,"base":9}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":4138,"base":9},"right_expr":{"type":"numeric_atoms","value":7932,"base":9}}},"used_operators":["xRrnTEsQ6j","AHs5Up7iyr","1aApVXNlOP"],"dependent_operators":["P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","dWAJyo7jo9","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=2993","layer":2},{"info":"number node, value=5261","layer":2},{"info":"compute binary expreesion, left_input=2993, right_input=5261, 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=4138","layer":2},{"info":"number node, value=7932","layer":2},{"info":"compute binary expreesion, left_input=4138, right_input=7932, 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=4267","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=4267, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟4085≹⇙⪍⋋%⋟7185)⫁⪎(⋋%⋟5607⩇∃⫛⋋%⋟11783)=NaN","reverse_text":"NaN=(⋋%⋟4085≹⇙⪍⋋%⋟7185)⫁⪎(⋋%⋟5607⩇∃⫛⋋%⋟11783)","cot":[{"info":"⋋%⋟4085≹⇙⪍⋋%⋟7185=NaN","layer":1},{"info":"⋋%⋟5607⩇∃⫛⋋%⋟11783=⋋%⋟5761","layer":1},{"info":"NaN⫁⪎⋋%⋟5761=NaN","layer":0}]}
+{"id":472,"expression_no_base_symbol":"($2345$⇉⇉)⇉⇉","expression":"(⋋%⋟3185⇉⇉)⇉⇉","highest_n_order":2,"priority_hierarchical_complexity":1,"normalized_expansion_degree":115,"operation_count":2,"complexity_ratio":57.5,"tree":{"type":"unary","operator":"⇉⇉","unary_expr":{"type":"unary","operator":"⇉⇉","unary_expr":{"type":"numeric_atoms","value":2345,"base":9}}},"used_operators":["diKm42VcIt"],"dependent_operators":["RygbFNSyEJ","XPYlsWDdGa","k8jYdgA6NY","xUOZtlo3hN","AFVx7xoS7T","iuk5sVOGFA","86A5ENbKR9"],"result":"⋋%⋟2655226","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2345","layer":2},{"info":"compute unary expreesion, input=2345, op_id = diKm42VcIt, unary_op_definition = 'a⇉⇉ = { (⪸(⨞⊢(a≦↸a))) , if (a⪣⫩)!=30 ; (a%(⪲⇎(a⇌⫙⪟156))) , else }', output=-144716","layer":1},{"info":"compute unary expreesion, input=-144716, op_id = diKm42VcIt, unary_op_definition = 'a⇉⇉ = { (⪸(⨞⊢(a≦↸a))) , if (a⪣⫩)!=30 ; (a%(⪲⇎(a⇌⫙⪟156))) , else }', output=1453812","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟3185⇉⇉)⇉⇉=⋋%⋟2655226","reverse_text":"⋋%⋟2655226=(⋋%⋟3185⇉⇉)⇉⇉","cot":[{"info":"⋋%⋟3185⇉⇉=⋋%⋟-240455","layer":1},{"info":"⋋%⋟-240455⇉⇉=⋋%⋟2655226","layer":0}]}
+{"id":473,"expression_no_base_symbol":"⋼∭⪍(≔$1084$)","expression":"⋼∭⪍(≔⋋%⋟1434)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":49,"operation_count":2,"complexity_ratio":24.5,"tree":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"numeric_atoms","value":1084,"base":9}}},"used_operators":["DbCuESL50I","8FLs4eVsLt"],"dependent_operators":["e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk"],"result":"⋋%⋟-285016","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1084","layer":2},{"info":"compute unary expreesion, input=1084, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-29058","layer":1},{"info":"compute unary expreesion, input=-29058, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-174246","layer":0}],"base":9,"result_base":9,"text":"⋼∭⪍(≔⋋%⋟1434)=⋋%⋟-285016","reverse_text":"⋋%⋟-285016=⋼∭⪍(≔⋋%⋟1434)","cot":[{"info":"≔⋋%⋟1434=⋋%⋟-43766","layer":1},{"info":"⋼∭⪍⋋%⋟-43766=⋋%⋟-285016","layer":0}]}
+{"id":474,"expression_no_base_symbol":"($6406$↼⊘⨖$1708$)≚⊃≕($2190$⇉⇉)","expression":"(⋋%⋟8707↼⊘⨖⋋%⋟2307)≚⊃≕(⋋%⋟3003⇉⇉)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":89,"operation_count":3,"complexity_ratio":29.666666666666668,"tree":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":6406,"base":9},"right_expr":{"type":"numeric_atoms","value":1708,"base":9}},"right_expr":{"type":"unary","operator":"⇉⇉","unary_expr":{"type":"numeric_atoms","value":2190,"base":9}}},"used_operators":["Bmrmz2XGnR","bPywburJMS","diKm42VcIt"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","RygbFNSyEJ","XPYlsWDdGa","k8jYdgA6NY","xUOZtlo3hN","AFVx7xoS7T","iuk5sVOGFA","86A5ENbKR9"],"result":"⋋%⋟-428727","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=6406","layer":2},{"info":"number node, value=1708","layer":2},{"info":"compute binary expreesion, left_input=6406, right_input=1708, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=3194","layer":1},{"info":"number node, value=2190","layer":2},{"info":"compute unary expreesion, input=2190, op_id = diKm42VcIt, unary_op_definition = 'a⇉⇉ = { (⪸(⨞⊢(a≦↸a))) , if (a⪣⫩)!=30 ; (a%(⪲⇎(a⇌⫙⪟156))) , else }', output=-134176","layer":1},{"info":"compute binary expreesion, left_input=3194, right_input=-134176, 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=-255742","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟8707↼⊘⨖⋋%⋟2307)≚⊃≕(⋋%⋟3003⇉⇉)=⋋%⋟-428727","reverse_text":"⋋%⋟-428727=(⋋%⋟8707↼⊘⨖⋋%⋟2307)≚⊃≕(⋋%⋟3003⇉⇉)","cot":[{"info":"⋋%⋟8707↼⊘⨖⋋%⋟2307=⋋%⋟4338","layer":1},{"info":"⋋%⋟3003⇉⇉=⋋%⋟-224044","layer":1},{"info":"⋋%⋟4338≚⊃≕⋋%⋟-224044=⋋%⋟-428727","layer":0}]}
+{"id":475,"expression_no_base_symbol":"$1083$∌↝$7448$⪭≯$3908$⨑⩅≇$1900$","expression":"⋋%⋟1433∌↝⋋%⋟11185⪭≯⋋%⋟5322⨑⩅≇⋋%⋟2541","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2143,"operation_count":3,"complexity_ratio":714.3333333333334,"tree":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":1083,"base":9},"right_expr":{"type":"numeric_atoms","value":7448,"base":9}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":3908,"base":9},"right_expr":{"type":"numeric_atoms","value":1900,"base":9}}},"used_operators":["XAx5wpdLa6","9Isq31Ruls","h92wMvzauj"],"dependent_operators":["9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1083","layer":2},{"info":"number node, value=7448","layer":2},{"info":"compute binary expreesion, left_input=1083, right_input=7448, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":1},{"info":"number node, value=3908","layer":2},{"info":"number node, value=1900","layer":2},{"info":"compute binary expreesion, left_input=3908, right_input=1900, 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=-11724","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-11724, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟1433∌↝⋋%⋟11185⪭≯⋋%⋟5322⨑⩅≇⋋%⋟2541=NaN","reverse_text":"NaN=⋋%⋟1433∌↝⋋%⋟11185⪭≯⋋%⋟5322⨑⩅≇⋋%⋟2541","cot":[{"info":"⋋%⋟1433∌↝⋋%⋟11185=⋋%⋟0","layer":1},{"info":"⋋%⋟5322⨑⩅≇⋋%⋟2541=⋋%⋟-17066","layer":1},{"info":"⋋%⋟0⪭≯⋋%⋟-17066=NaN","layer":0}]}
+{"id":476,"expression_no_base_symbol":"$6270$⪎↠$2583$⫳≱↱$1586$∌$1164$","expression":"⋋%⋟8536⪎↠⋋%⋟3480⫳≱↱⋋%⋟2152∌⋋%⋟1533","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":319,"operation_count":3,"complexity_ratio":106.33333333333333,"tree":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":6270,"base":9},"right_expr":{"type":"numeric_atoms","value":2583,"base":9}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":1586,"base":9},"right_expr":{"type":"numeric_atoms","value":1164,"base":9}}},"used_operators":["ZvLB05nZmT","3tVxb0NHM4","8cLx32lpNA"],"dependent_operators":["2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd"],"result":"⋋%⋟-246","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=6270","layer":2},{"info":"number node, value=2583","layer":2},{"info":"compute binary expreesion, left_input=6270, right_input=2583, 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=1586","layer":2},{"info":"number node, value=1164","layer":2},{"info":"compute binary expreesion, left_input=1586, right_input=1164, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-1164","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=-1164, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟8536⪎↠⋋%⋟3480⫳≱↱⋋%⋟2152∌⋋%⋟1533=⋋%⋟-246","reverse_text":"⋋%⋟-246=⋋%⋟8536⪎↠⋋%⋟3480⫳≱↱⋋%⋟2152∌⋋%⋟1533","cot":[{"info":"⋋%⋟8536⪎↠⋋%⋟3480=⋋%⋟187","layer":1},{"info":"⋋%⋟2152∌⋋%⋟1533=⋋%⋟-1533","layer":1},{"info":"⋋%⋟187⫳≱↱⋋%⋟-1533=⋋%⋟-246","layer":0}]}
+{"id":477,"expression_no_base_symbol":"($2600$⩟)≓∲$3442$≠≀$1946$","expression":"(⋋%⋟3508⩟)≓∲⋋%⋟4644≠≀⋋%⋟2602","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":837,"operation_count":3,"complexity_ratio":279.0,"tree":{"type":"binary","operator":"≓∲","left_expr":{"type":"unary","operator":"⩟","unary_expr":{"type":"numeric_atoms","value":2600,"base":9}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":3442,"base":9},"right_expr":{"type":"numeric_atoms","value":1946,"base":9}}},"used_operators":["s1XTVnmDOJ","fOIeswaMU4","IwW236VD4Y"],"dependent_operators":["HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","W4YGzv6Whe","Qy55tPpLXF","8w2t5hMYqp","12rbrZMWeM","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC"],"result":"⋋%⋟74","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2600","layer":2},{"info":"compute unary expreesion, input=2600, op_id = fOIeswaMU4, unary_op_definition = 'a⩟ = { (⊄⩳↩((a⋳⪒a)+(155⋥≓≎a))) }', output=-22173","layer":1},{"info":"number node, value=3442","layer":2},{"info":"number node, value=1946","layer":2},{"info":"compute binary expreesion, left_input=3442, right_input=1946, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-6578","layer":1},{"info":"compute binary expreesion, left_input=-22173, right_input=-6578, 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":0}],"base":9,"result_base":9,"text":"(⋋%⋟3508⩟)≓∲⋋%⋟4644≠≀⋋%⋟2602=⋋%⋟74","reverse_text":"⋋%⋟74=(⋋%⋟3508⩟)≓∲⋋%⋟4644≠≀⋋%⋟2602","cot":[{"info":"⋋%⋟3508⩟=⋋%⋟-33366","layer":1},{"info":"⋋%⋟4644≠≀⋋%⋟2602=⋋%⋟-10018","layer":1},{"info":"⋋%⋟-33366≓∲⋋%⋟-10018=⋋%⋟74","layer":0}]}
+{"id":478,"expression_no_base_symbol":"($3318$⩹$2161$)⋥≓≎($2506$⪣⫩)","expression":"(⋋%⋟4486⩹⋋%⋟2861)⋥≓≎(⋋%⋟3384⪣⫩)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":25,"operation_count":3,"complexity_ratio":8.333333333333334,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":3318,"base":9},"right_expr":{"type":"numeric_atoms","value":2161,"base":9}},"right_expr":{"type":"unary","operator":"⪣⫩","unary_expr":{"type":"numeric_atoms","value":2506,"base":9}}},"used_operators":["Qy55tPpLXF","2Wsdkap16l","iuk5sVOGFA"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI"],"result":"⋋%⋟18551","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3318","layer":2},{"info":"number node, value=2161","layer":2},{"info":"compute binary expreesion, left_input=3318, right_input=2161, 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=2159","layer":1},{"info":"number node, value=2506","layer":2},{"info":"compute unary expreesion, input=2506, op_id = iuk5sVOGFA, unary_op_definition = 'a⪣⫩ = { ((a⋥≓≎a)⋷(a+a)) , if a>=275 ; ((a∲⫓a)≧⫂∧(⪲⇎693)) , else }', output=7485","layer":1},{"info":"compute binary expreesion, left_input=2159, right_input=7485, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=12844","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟4486⩹⋋%⋟2861)⋥≓≎(⋋%⋟3384⪣⫩)=⋋%⋟18551","reverse_text":"⋋%⋟18551=(⋋%⋟4486⩹⋋%⋟2861)⋥≓≎(⋋%⋟3384⪣⫩)","cot":[{"info":"⋋%⋟4486⩹⋋%⋟2861=⋋%⋟2858","layer":1},{"info":"⋋%⋟3384⪣⫩=⋋%⋟11236","layer":1},{"info":"⋋%⋟2858⋥≓≎⋋%⋟11236=⋋%⋟18551","layer":0}]}
+{"id":479,"expression_no_base_symbol":"($1725$⊭↱$3219$)⇗⋫","expression":"(⋋%⋟2326⊭↱⋋%⋟4366)⇗⋫","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":7,"operation_count":2,"complexity_ratio":3.5,"tree":{"type":"unary","operator":"⇗⋫","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1725,"base":9},"right_expr":{"type":"numeric_atoms","value":3219,"base":9}}},"used_operators":["hpqmaQFPrd","COABgblf1C"],"dependent_operators":["rxpJgHHUmx","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1725","layer":2},{"info":"number node, value=3219","layer":2},{"info":"compute binary expreesion, left_input=1725, right_input=3219, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=2993","layer":1},{"info":"compute unary expreesion, input=2993, op_id = hpqmaQFPrd, unary_op_definition = 'a⇗⋫ = { (a≭a) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟2326⊭↱⋋%⋟4366)⇗⋫=NaN","reverse_text":"NaN=(⋋%⋟2326⊭↱⋋%⋟4366)⇗⋫","cot":[{"info":"⋋%⋟2326⊭��⋋%⋟4366=⋋%⋟4085","layer":1},{"info":"⋋%⋟4085⇗⋫=NaN","layer":0}]}
+{"id":480,"expression_no_base_symbol":"$2190$⫁⪎$4447$⨭⪣$4951$∓⋝$8913$","expression":"⋋%⋟3003⫁⪎⋋%⋟6081⨭⪣⋋%⋟6711∓⋝⋋%⋟13203","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":86,"operation_count":3,"complexity_ratio":28.666666666666668,"tree":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":2190,"base":9},"right_expr":{"type":"numeric_atoms","value":4447,"base":9}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":4951,"base":9},"right_expr":{"type":"numeric_atoms","value":8913,"base":9}}},"used_operators":["kn8WO9XteQ","xRrnTEsQ6j","PoHhknlbAi"],"dependent_operators":["vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz"],"result":"⋋%⋟2004","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2190","layer":2},{"info":"number node, value=4447","layer":2},{"info":"compute binary expreesion, left_input=2190, right_input=4447, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-2257","layer":1},{"info":"number node, value=4951","layer":2},{"info":"number node, value=8913","layer":2},{"info":"compute binary expreesion, left_input=4951, right_input=8913, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":1},{"info":"compute binary expreesion, left_input=-2257, right_input=67, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=1462","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟3003⫁⪎⋋%⋟6081⨭⪣⋋%⋟6711∓⋝⋋%⋟13203=⋋%⋟2004","reverse_text":"⋋%⋟2004=⋋%⋟3003⫁⪎⋋%⋟6081⨭⪣⋋%⋟6711∓⋝⋋%⋟13203","cot":[{"info":"⋋%⋟3003⫁⪎⋋%⋟6081=⋋%⋟-3077","layer":1},{"info":"⋋%⋟6711∓⋝⋋%⋟13203=⋋%⋟74","layer":1},{"info":"⋋%⋟-3077⨭⪣⋋%⋟74=⋋%⋟2004","layer":0}]}
+{"id":481,"expression_no_base_symbol":"($1111$⋥≓≎$6005$)⪥($2827$∇⊂⋱$2115$)","expression":"(⋋%⋟1464⋥≓≎⋋%⋟8212)⪥(⋋%⋟3781∇⊂⋱⋋%⋟2810)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":40,"operation_count":3,"complexity_ratio":13.333333333333334,"tree":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1111,"base":9},"right_expr":{"type":"numeric_atoms","value":6005,"base":9}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":2827,"base":9},"right_expr":{"type":"numeric_atoms","value":2115,"base":9}}},"used_operators":["QbnwKVWMIQ","Qy55tPpLXF","nhYeJWJD5X"],"dependent_operators":["WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx"],"result":"⋋%⋟73325","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1111","layer":2},{"info":"number node, value=6005","layer":2},{"info":"compute binary expreesion, left_input=1111, right_input=6005, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=10932","layer":1},{"info":"number node, value=2827","layer":2},{"info":"number node, value=2115","layer":2},{"info":"compute binary expreesion, left_input=2827, right_input=2115, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=5108","layer":1},{"info":"compute binary expreesion, left_input=10932, right_input=5108, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=48380","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟1464⋥≓≎⋋%⋟8212)⪥(⋋%⋟3781∇⊂⋱⋋%⋟2810)=⋋%⋟73325","reverse_text":"⋋%⋟73325=(⋋%⋟1464⋥≓≎⋋%⋟8212)⪥(⋋%⋟3781∇⊂⋱⋋%⋟2810)","cot":[{"info":"⋋%⋟1464⋥≓≎⋋%⋟8212=⋋%⋟15886","layer":1},{"info":"⋋%⋟3781∇⊂⋱⋋%⋟2810=⋋%⋟7005","layer":1},{"info":"⋋%⋟15886⪥⋋%⋟7005=⋋%⋟73325","layer":0}]}
+{"id":482,"expression_no_base_symbol":"∡$2535$↹⊜$1421$","expression":"∡⋋%⋟3426↹⊜⋋%⋟1848","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":31,"operation_count":2,"complexity_ratio":15.5,"tree":{"type":"unary","operator":"∡","unary_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":2535,"base":9},"right_expr":{"type":"numeric_atoms","value":1421,"base":9}}},"used_operators":["pRsWfj4Fpp","9bazX3JMtO"],"dependent_operators":["D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd"],"result":"⋋%⋟5753","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=2535","layer":2},{"info":"number node, value=1421","layer":2},{"info":"compute binary expreesion, left_input=2535, right_input=1421, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-710","layer":1},{"info":"compute unary expreesion, input=-710, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=4260","layer":0}],"base":9,"result_base":9,"text":"∡⋋%⋟3426↹⊜⋋%⋟1848=⋋%⋟5753","reverse_text":"⋋%⋟5753=∡⋋%⋟3426↹⊜⋋%⋟1848","cot":[{"info":"⋋%⋟3426↹⊜⋋%⋟1848=⋋%⋟-868","layer":1},{"info":"∡⋋%⋟-868=⋋%⋟5753","layer":0}]}
+{"id":483,"expression_no_base_symbol":"($2195$⫿)⪭$2781$⨸$1922$","expression":"(⋋%⋟3008⫿)⪭⋋%⋟3730⨸⋋%⋟2565","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2902,"operation_count":3,"complexity_ratio":967.3333333333334,"tree":{"type":"binary","operator":"⪭","left_expr":{"type":"unary","operator":"⫿","unary_expr":{"type":"numeric_atoms","value":2195,"base":9}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":2781,"base":9},"right_expr":{"type":"numeric_atoms","value":1922,"base":9}}},"used_operators":["j9kHMeSvPp","9tKT6PmtkH","KmoU8R5UQR"],"dependent_operators":["COABgblf1C","xUOZtlo3hN","DpFCA1CohY","9ICcGScMcE","f6k1SAg4EE","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl"],"result":"⋋%⋟5","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=2195","layer":2},{"info":"compute unary expreesion, input=2195, op_id = 9tKT6PmtkH, unary_op_definition = 'a⫿ = { (≦∁a) , if (⋗⩬⋾a)<1 ; (a⪒a) , else }', output=2195","layer":1},{"info":"number node, value=2781","layer":2},{"info":"number node, value=1922","layer":2},{"info":"compute binary expreesion, left_input=2781, right_input=1922, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=5562","layer":1},{"info":"compute binary expreesion, left_input=2195, right_input=5562, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟3008⫿)⪭⋋%⋟3730⨸⋋%⋟2565=⋋%⋟5","reverse_text":"⋋%⋟5=(⋋%⋟3008⫿)⪭⋋%⋟3730⨸⋋%⋟2565","cot":[{"info":"⋋%⋟3008⫿=⋋%⋟3008","layer":1},{"info":"⋋%⋟3730⨸⋋%⋟2565=⋋%⋟7560","layer":1},{"info":"⋋%⋟3008⪭⋋%⋟7560=⋋%⋟5","layer":0}]}
+{"id":484,"expression_no_base_symbol":"$3051$⋹⋡⊁$8009$⩖⊿($2145$≃⋄)","expression":"⋋%⋟4160⋹⋡⊁⋋%⋟11878⩖⊿(⋋%⋟2843≃⋄)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":62583,"operation_count":3,"complexity_ratio":20861.0,"tree":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":3051,"base":9},"right_expr":{"type":"numeric_atoms","value":8009,"base":9}},"right_expr":{"type":"unary","operator":"≃⋄","unary_expr":{"type":"numeric_atoms","value":2145,"base":9}}},"used_operators":["RZ5CV9rWsJ","As8RqfVLgs","aN9a90urxU"],"dependent_operators":["HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","uFcxV4UQCh","jLgFTUHLKL"],"result":"⋋%⋟-43708","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3051","layer":2},{"info":"number node, value=8009","layer":2},{"info":"compute binary expreesion, left_input=3051, right_input=8009, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=8759","layer":1},{"info":"number node, value=2145","layer":2},{"info":"compute unary expreesion, input=2145, op_id = aN9a90urxU, unary_op_definition = 'a≃⋄ = { (↩(252⪛a)) }', output=764","layer":1},{"info":"compute binary expreesion, left_input=8759, right_input=764, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-29006","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟4160⋹⋡⊁⋋%⋟11878⩖⊿(⋋%⋟2843≃⋄)=⋋%⋟-43708","reverse_text":"⋋%⋟-43708=⋋%⋟4160⋹⋡⊁⋋%⋟11878⩖⊿(⋋%⋟2843≃⋄)","cot":[{"info":"⋋%⋟4160⋹⋡⊁⋋%⋟11878=⋋%⋟13012","layer":1},{"info":"⋋%⋟2843≃⋄=⋋%⋟1038","layer":1},{"info":"⋋%⋟13012⩖⊿⋋%⋟1038=⋋%⋟-43708","layer":0}]}
+{"id":485,"expression_no_base_symbol":"⇘(⇨$4347$)","expression":"⇘(⇨⋋%⋟5860)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":60,"operation_count":2,"complexity_ratio":30.0,"tree":{"type":"unary","operator":"⇘","unary_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"numeric_atoms","value":4347,"base":9}}},"used_operators":["MGuIdZPyUC","G9tJMlZ94a"],"dependent_operators":["eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","k8jYdgA6NY"],"result":"⋋%⋟-2458","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=4347","layer":2},{"info":"compute unary expreesion, input=4347, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=-1835","layer":0}],"base":9,"result_base":9,"text":"⇘(⇨⋋%⋟5860)=⋋%⋟-2458","reverse_text":"⋋%⋟-2458=⇘(⇨⋋%⋟5860)","cot":[{"info":"⇨⋋%⋟5860=⋋%⋟0","layer":1},{"info":"⇘⋋%⋟0=⋋%⋟-2458","layer":0}]}
+{"id":486,"expression_no_base_symbol":"($5280$⨭⪣$5003$)⪒⊣⊆(∨∊⋏$2193$)","expression":"(⋋%⋟7216⨭⪣⋋%⋟6768)⪒⊣⊆(∨∊⋏⋋%⋟3006)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":102,"operation_count":3,"complexity_ratio":34.0,"tree":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":5280,"base":9},"right_expr":{"type":"numeric_atoms","value":5003,"base":9}},"right_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"numeric_atoms","value":2193,"base":9}}},"used_operators":["eRqsBgTDFp","kn8WO9XteQ","R5aXW34M0v"],"dependent_operators":["sdazOOVcIp","W4YGzv6Whe","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ"],"result":"⋋%⋟11871","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=5280","layer":2},{"info":"number node, value=5003","layer":2},{"info":"compute binary expreesion, left_input=5280, right_input=5003, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=4001","layer":1},{"info":"number node, value=2193","layer":2},{"info":"compute unary expreesion, input=2193, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=39431","layer":1},{"info":"compute binary expreesion, left_input=4001, right_input=39431, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=8002","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟7216⨭⪣⋋%⋟6768)⪒⊣⊆(∨∊⋏⋋%⋟3006)=⋋%⋟11871","reverse_text":"⋋%⋟11871=(⋋%⋟7216⨭⪣⋋%⋟6768)⪒⊣⊆(∨∊⋏⋋%⋟3006)","cot":[{"info":"⋋%⋟7216⨭⪣⋋%⋟6768=⋋%⋟5435","layer":1},{"info":"∨∊⋏⋋%⋟3006=⋋%⋟60072","layer":1},{"info":"⋋%⋟5435⪒⊣⊆⋋%⋟60072=⋋%⋟11871","layer":0}]}
+{"id":487,"expression_no_base_symbol":"⫛⫱⨽(⨦⪝$1499$)","expression":"⫛⫱⨽(⨦⪝⋋%⋟2045)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1453,"operation_count":2,"complexity_ratio":726.5,"tree":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"numeric_atoms","value":1499,"base":9}}},"used_operators":["DlLNRPXxWL","SUjycxNXIR"],"dependent_operators":["rGHVDoGpnC","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7"],"result":"⋋%⋟0","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1499","layer":2},{"info":"compute unary expreesion, input=1499, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":1},{"info":"compute unary expreesion, input=-1884, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":0}],"base":9,"result_base":9,"text":"⫛⫱⨽(⨦⪝⋋%⋟2045)=⋋%⋟0","reverse_text":"⋋%⋟0=⫛⫱⨽(⨦⪝⋋%⋟2045)","cot":[{"info":"⨦⪝⋋%⋟2045=⋋%⋟-2523","layer":1},{"info":"⫛⫱⨽⋋%⋟-2523=⋋%⋟0","layer":0}]}
+{"id":488,"expression_no_base_symbol":"⨦⪝($3188$∼$1490$)","expression":"⨦⪝(⋋%⋟4332∼⋋%⋟2035)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":95,"operation_count":2,"complexity_ratio":47.5,"tree":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3188,"base":9},"right_expr":{"type":"numeric_atoms","value":1490,"base":9}}},"used_operators":["SUjycxNXIR","DyGG3AbaNP"],"dependent_operators":["V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"⋋%⋟-2523","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=3188","layer":2},{"info":"number node, value=1490","layer":2},{"info":"compute binary expreesion, left_input=3188, right_input=1490, 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 unary expreesion, input=nan, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":0}],"base":9,"result_base":9,"text":"⨦⪝(⋋%⋟4332∼⋋%⋟2035)=⋋%⋟-2523","reverse_text":"⋋%⋟-2523=⨦⪝(⋋%⋟4332∼⋋%⋟2035)","cot":[{"info":"⋋%⋟4332∼⋋%⋟2035=NaN","layer":1},{"info":"⨦⪝NaN=⋋%⋟-2523","layer":0}]}
+{"id":489,"expression_no_base_symbol":"($1570$≠≀$1273$)↯⫤","expression":"(⋋%⋟2134≠≀⋋%⋟1664)↯⫤","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":31,"operation_count":2,"complexity_ratio":15.5,"tree":{"type":"unary","operator":"↯⫤","unary_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":1570,"base":9},"right_expr":{"type":"numeric_atoms","value":1273,"base":9}}},"used_operators":["VwlE7vj6HS","IwW236VD4Y"],"dependent_operators":["W4YGzv6Whe","23Mk6UjR3U","tifHPKVTfV","glklzrTFfD","eH2TOUuTDT","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","g55IO6H4Gj","nCS4ZIUYfx","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC"],"result":"⋋%⋟7687","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1570","layer":2},{"info":"number node, value=1273","layer":2},{"info":"compute binary expreesion, left_input=1570, right_input=1273, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-2834","layer":1},{"info":"compute unary expreesion, input=-2834, op_id = VwlE7vj6HS, unary_op_definition = 'a↯⫤ = { (((-a)⋝⋈⪟(a⨳⩥⨓a))⨸⪁((a⨁⊸⫻)⇼⇔∾(a+a))) , if (a⋷221)!=277 ; (((300⪐)⨁⊸⫻)⇼⇔∾(a≧⫂∧(26≧⫂∧87))) , else }', output=5668","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟2134≠≀⋋%⋟1664)↯⫤=⋋%⋟7687","reverse_text":"⋋%⋟7687=(⋋%⋟2134≠≀⋋%⋟1664)↯⫤","cot":[{"info":"⋋%⋟2134≠≀⋋%⋟1664=⋋%⋟-3788","layer":1},{"info":"⋋%⋟-3788↯⫤=⋋%⋟7687","layer":0}]}
+{"id":490,"expression_no_base_symbol":"↽≂$6304$⪥$2929$","expression":"↽≂⋋%⋟8574⪥⋋%⋟4014","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":26,"operation_count":2,"complexity_ratio":13.0,"tree":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":6304,"base":9},"right_expr":{"type":"numeric_atoms","value":2929,"base":9}}},"used_operators":["u6S6b8DprG","QbnwKVWMIQ"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF"],"result":"⋋%⋟-100843","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=6304","layer":2},{"info":"number node, value=2929","layer":2},{"info":"compute binary expreesion, left_input=6304, right_input=2929, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=29868","layer":1},{"info":"compute unary expreesion, input=29868, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-59736","layer":0}],"base":9,"result_base":9,"text":"↽≂⋋%⋟8574⪥⋋%⋟4014=⋋%⋟-100843","reverse_text":"⋋%⋟-100843=↽≂⋋%⋟8574⪥⋋%⋟4014","cot":[{"info":"⋋%⋟8574⪥⋋%⋟4014=⋋%⋟44866","layer":1},{"info":"↽≂⋋%⋟44866=⋋%⋟-100843","layer":0}]}
+{"id":491,"expression_no_base_symbol":"$7544$+⇶⊼$3399$⫳≱↱($4229$+$2740$)","expression":"⋋%⋟11312+⇶⊼⋋%⋟4586⫳≱↱(⋋%⋟5718+⋋%⋟3674)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":54,"operation_count":3,"complexity_ratio":18.0,"tree":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":7544,"base":9},"right_expr":{"type":"numeric_atoms","value":3399,"base":9}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":4229,"base":9},"right_expr":{"type":"numeric_atoms","value":2740,"base":9}}},"used_operators":["ZvLB05nZmT","TpPTUOHfaN","W4YGzv6Whe"],"dependent_operators":["2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=7544","layer":2},{"info":"number node, value=3399","layer":2},{"info":"compute binary expreesion, left_input=7544, right_input=3399, 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=4229","layer":2},{"info":"number node, value=2740","layer":2},{"info":"compute binary expreesion, left_input=4229, right_input=2740, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6969","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=6969, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟11312+⇶⊼⋋%⋟4586⫳≱↱(⋋%⋟5718+⋋%⋟3674)=NaN","reverse_text":"NaN=⋋%⋟11312+⇶⊼⋋%⋟4586⫳≱↱(⋋%⋟5718+⋋%⋟3674)","cot":[{"info":"⋋%⋟11312+⇶⊼⋋%⋟4586=NaN","layer":1},{"info":"⋋%⋟5718+⋋%⋟3674=⋋%⋟10503","layer":1},{"info":"NaN⫳≱↱⋋%⋟10503=NaN","layer":0}]}
+{"id":492,"expression_no_base_symbol":"($9611$*$4947$)⪢(≀↧⇸$1032$)","expression":"(⋋%⋟14158*⋋%⋟6706)⪢(≀↧⇸⋋%⋟1366)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1889553,"operation_count":3,"complexity_ratio":629851.0,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":9611,"base":9},"right_expr":{"type":"numeric_atoms","value":4947,"base":9}},"right_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"numeric_atoms","value":1032,"base":9}}},"used_operators":["dWAJyo7jo9","9HNa5Wba9A","ljTHtUsqzn"],"dependent_operators":["k8jYdgA6NY","W4YGzv6Whe","XPYlsWDdGa","23Mk6UjR3U"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=9611","layer":2},{"info":"number node, value=4947","layer":2},{"info":"compute binary expreesion, left_input=9611, right_input=4947, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=47545617","layer":1},{"info":"number node, value=1032","layer":2},{"info":"compute unary expreesion, input=1032, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=2064","layer":1},{"info":"compute binary expreesion, left_input=47545617, right_input=2064, 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":9,"result_base":9,"text":"(⋋%⋟14158*⋋%⋟6706)⪢(≀↧⇸⋋%⋟1366)=NaN","reverse_text":"NaN=(⋋%⋟14158*⋋%⋟6706)⪢(≀↧⇸⋋%⋟1366)","cot":[{"info":"⋋%⋟14158*⋋%⋟6706=⋋%⋟108416283","layer":1},{"info":"≀↧⇸⋋%⋟1366=⋋%⋟2743","layer":1},{"info":"⋋%⋟108416283⪢⋋%⋟2743=NaN","layer":0}]}
+{"id":493,"expression_no_base_symbol":"($2510$+⇶⊼$2600$)⇻⋧≁($2443$∼$4554$)","expression":"(⋋%⋟3388+⇶⊼⋋%⋟3508)⇻⋧≁(⋋%⋟3314∼⋋%⋟6220)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":79,"operation_count":3,"complexity_ratio":26.333333333333332,"tree":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2510,"base":9},"right_expr":{"type":"numeric_atoms","value":2600,"base":9}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2443,"base":9},"right_expr":{"type":"numeric_atoms","value":4554,"base":9}}},"used_operators":["jCPkEVoL5K","TpPTUOHfaN","DyGG3AbaNP"],"dependent_operators":["eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","AHs5Up7iyr","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=2510","layer":2},{"info":"number node, value=2600","layer":2},{"info":"compute binary expreesion, left_input=2510, right_input=2600, 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=2443","layer":2},{"info":"number node, value=4554","layer":2},{"info":"compute binary expreesion, left_input=2443, right_input=4554, 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=nan, right_input=nan, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟3388+⇶⊼⋋%⋟3508)⇻⋧≁(⋋%⋟3314∼⋋%⋟6220)=NaN","reverse_text":"NaN=(⋋%⋟3388+⇶⊼⋋%⋟3508)⇻⋧≁(⋋%⋟3314∼⋋%⋟6220)","cot":[{"info":"⋋%⋟3388+⇶⊼⋋%⋟3508=NaN","layer":1},{"info":"⋋%⋟3314∼⋋%⋟6220=NaN","layer":1},{"info":"NaN⇻⋧≁NaN=NaN","layer":0}]}
+{"id":494,"expression_no_base_symbol":"$5855$≠≀$1519$≬⇓$1947$⫢⨠$2539$","expression":"⋋%⋟8025≠≀⋋%⋟2067≬⇓⋋%⋟2603⫢⨠⋋%⋟3431","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":34453,"operation_count":3,"complexity_ratio":11484.333333333334,"tree":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":5855,"base":9},"right_expr":{"type":"numeric_atoms","value":1519,"base":9}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":1947,"base":9},"right_expr":{"type":"numeric_atoms","value":2539,"base":9}}},"used_operators":["jWTQ2TZYIH","IwW236VD4Y","xlXykHWxX1"],"dependent_operators":["AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx"],"result":"⋋%⋟3321562448","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=5855","layer":2},{"info":"number node, value=1519","layer":2},{"info":"compute binary expreesion, left_input=5855, right_input=1519, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-11404","layer":1},{"info":"number node, value=1947","layer":2},{"info":"number node, value=2539","layer":2},{"info":"compute binary expreesion, left_input=1947, right_input=2539, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":1},{"info":"compute binary expreesion, left_input=-11404, right_input=160, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=1301835446","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟8025≠≀⋋%⋟2067≬⇓⋋%⋟2603⫢⨠⋋%⋟3431=⋋%⋟3321562448","reverse_text":"⋋%⋟3321562448=⋋%⋟8025≠≀⋋%⋟2067≬⇓⋋%⋟2603⫢⨠⋋%⋟3431","cot":[{"info":"⋋%⋟8025≠≀⋋%⋟2067=⋋%⋟-16571","layer":1},{"info":"⋋%⋟2603⫢⨠⋋%⋟3431=⋋%⋟187","layer":1},{"info":"⋋%⋟-16571≬⇓⋋%⋟187=⋋%⋟3321562448","layer":0}]}
+{"id":495,"expression_no_base_symbol":"(⨭⩧⫛$2333$)≎⊠⪸$2356$⩍⋽⫝̸$6149$","expression":"(⨭⩧⫛⋋%⋟3172)≎⊠⪸⋋%⋟3207⩍⋽⫝̸⋋%⋟8382","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":65,"operation_count":3,"complexity_ratio":21.666666666666668,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"numeric_atoms","value":2333,"base":9}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":2356,"base":9},"right_expr":{"type":"numeric_atoms","value":6149,"base":9}}},"used_operators":["bJkvcejdHO","g21JL6JxX7","BiWNJpBvwn"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","Ph9nP6C5qx","xUOZtlo3hN"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=2333","layer":2},{"info":"compute unary expreesion, input=2333, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":1},{"info":"number node, value=2356","layer":2},{"info":"number node, value=6149","layer":2},{"info":"compute binary expreesion, left_input=2356, right_input=6149, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=5203","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=5203, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(⨭⩧⫛⋋%⋟3172)≎⊠⪸⋋%⋟3207⩍⋽⫝̸⋋%⋟8382=NaN","reverse_text":"NaN=(⨭⩧⫛⋋%⋟3172)≎⊠⪸⋋%⋟3207⩍⋽⫝̸⋋%⋟8382","cot":[{"info":"⨭⩧⫛⋋%⋟3172=NaN","layer":1},{"info":"⋋%⋟3207⩍⋽⫝̸⋋%⋟8382=⋋%⋟7121","layer":1},{"info":"NaN≎⊠⪸⋋%⋟7121=NaN","layer":0}]}
+{"id":496,"expression_no_base_symbol":"($1114$⨼⩣$5815$)⊧↖","expression":"(⋋%⋟1467⨼⩣⋋%⋟7871)⊧↖","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":415,"operation_count":2,"complexity_ratio":207.5,"tree":{"type":"unary","operator":"⊧↖","unary_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":1114,"base":9},"right_expr":{"type":"numeric_atoms","value":5815,"base":9}}},"used_operators":["EKiFHuOFxO","JxwMv5le6e"],"dependent_operators":["5twsqlHp2o","dfKe02y8D2","8HhzD0ZcuI","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1114","layer":2},{"info":"number node, value=5815","layer":2},{"info":"compute binary expreesion, left_input=1114, right_input=5815, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = EKiFHuOFxO, unary_op_definition = 'a⊧↖ = { ((a⨽a)⊢(a⫚↹⊑79)) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟1467⨼⩣⋋%⋟7871)⊧↖=NaN","reverse_text":"NaN=(⋋%⋟1467⨼⩣⋋%⋟7871)⊧↖","cot":[{"info":"⋋%⋟1467⨼⩣⋋%⋟7871=NaN","layer":1},{"info":"NaN⊧↖=NaN","layer":0}]}
+{"id":497,"expression_no_base_symbol":"$6015$→⨶⪴$6708$⨚⇆$1264$⩦$1193$","expression":"⋋%⋟8223→⨶⪴⋋%⋟10173⨚⇆⋋%⋟1654⩦⋋%⋟1565","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":140920,"operation_count":3,"complexity_ratio":46973.333333333336,"tree":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":6015,"base":9},"right_expr":{"type":"numeric_atoms","value":6708,"base":9}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":1264,"base":9},"right_expr":{"type":"numeric_atoms","value":1193,"base":9}}},"used_operators":["lwHaAYXP2r","bF6eod5Gvf","0kmYd0q39Y"],"dependent_operators":["gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","8w2t5hMYqp","9FxExcQeMw","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=6015","layer":2},{"info":"number node, value=6708","layer":2},{"info":"compute binary expreesion, left_input=6015, right_input=6708, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-20124","layer":1},{"info":"number node, value=1264","layer":2},{"info":"number node, value=1193","layer":2},{"info":"compute binary expreesion, left_input=1264, right_input=1193, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=2528","layer":1},{"info":"compute binary expreesion, left_input=-20124, right_input=2528, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟8223→⨶⪴⋋%⋟10173⨚⇆⋋%⋟1654⩦⋋%⋟1565=NaN","reverse_text":"NaN=⋋%⋟8223→⨶⪴⋋%⋟10173⨚⇆⋋%⋟1654⩦⋋%⋟1565","cot":[{"info":"⋋%⋟8223→⨶⪴⋋%⋟10173=⋋%⋟-30540","layer":1},{"info":"⋋%⋟1654⩦⋋%⋟1565=⋋%⋟3418","layer":1},{"info":"⋋%⋟-30540⨚⇆⋋%⋟3418=NaN","layer":0}]}
+{"id":498,"expression_no_base_symbol":"($1951$⩤)⫸⊐$2228$↳∿⪆$3741$","expression":"(⋋%⋟2607⩤)⫸⊐⋋%⋟3045↳∿⪆⋋%⋟5116","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2443,"operation_count":3,"complexity_ratio":814.3333333333334,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":1951,"base":9}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":2228,"base":9},"right_expr":{"type":"numeric_atoms","value":3741,"base":9}}},"used_operators":["mqXw5SEYmG","Z2TMIBDE3Q","Cw4SuJJGHO"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q"],"result":"⋋%⋟1285","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1951","layer":2},{"info":"compute unary expreesion, input=1951, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1951","layer":1},{"info":"number node, value=2228","layer":2},{"info":"number node, value=3741","layer":2},{"info":"compute binary expreesion, left_input=2228, right_input=3741, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-1951, 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":0}],"base":9,"result_base":9,"text":"(⋋%⋟2607⩤)⫸⊐⋋%⋟3045↳∿⪆⋋%⋟5116=⋋%⋟1285","reverse_text":"⋋%⋟1285=(⋋%⋟2607⩤)⫸⊐⋋%⋟3045↳∿⪆⋋%⋟5116","cot":[{"info":"⋋%⋟2607⩤=⋋%⋟-2607","layer":1},{"info":"⋋%⋟3045↳∿⪆⋋%⋟5116=NaN","layer":1},{"info":"⋋%⋟-2607⫸⊐NaN=⋋%⋟1285","layer":0}]}
+{"id":499,"expression_no_base_symbol":"($8127$≓∲$3673$)⨚($4928$↺$6957$)","expression":"(⋋%⋟12130≓∲⋋%⋟5031)⨚(⋋%⋟6675↺⋋%⋟10480)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":68,"operation_count":3,"complexity_ratio":22.666666666666668,"tree":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":8127,"base":9},"right_expr":{"type":"numeric_atoms","value":3673,"base":9}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":4928,"base":9},"right_expr":{"type":"numeric_atoms","value":6957,"base":9}}},"used_operators":["nREPSIbpBE","s1XTVnmDOJ","7j4O788W3g"],"dependent_operators":["BjRHVeLaeN","12rbrZMWeM","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","rysDP5nf3Z","t8gj7n24qd"],"result":"⋋%⋟228187","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=8127","layer":2},{"info":"number node, value=3673","layer":2},{"info":"compute binary expreesion, left_input=8127, right_input=3673, 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=82053","layer":1},{"info":"number node, value=4928","layer":2},{"info":"number node, value=6957","layer":2},{"info":"compute binary expreesion, left_input=4928, right_input=6957, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=6957","layer":1},{"info":"compute binary expreesion, left_input=82053, right_input=6957, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=137212","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟12130≓∲⋋%⋟5031)⨚(⋋%⋟6675↺⋋%⋟10480)=⋋%⋟228187","reverse_text":"⋋%⋟228187=(⋋%⋟12130≓∲⋋%⋟5031)⨚(⋋%⋟6675↺⋋%⋟10480)","cot":[{"info":"⋋%⋟12130≓∲⋋%⋟5031=⋋%⋟134500","layer":1},{"info":"⋋%⋟6675↺⋋%⋟10480=⋋%⋟10480","layer":1},{"info":"⋋%⋟134500⨚⋋%⋟10480=⋋%⋟228187","layer":0}]}
+{"id":500,"expression_no_base_symbol":"∥⊫$4934$⨭⪣$3770$","expression":"∥⊫⋋%⋟6682⨭⪣⋋%⋟5148","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":37,"operation_count":2,"complexity_ratio":18.5,"tree":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":4934,"base":9},"right_expr":{"type":"numeric_atoms","value":3770,"base":9}}},"used_operators":["P8v4zCKN1o","kn8WO9XteQ"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF"],"result":"⋋%⋟6175","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=4934","layer":2},{"info":"number node, value=3770","layer":2},{"info":"compute binary expreesion, left_input=4934, right_input=3770, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=3655","layer":1},{"info":"compute unary expreesion, input=3655, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=4523","layer":0}],"base":9,"result_base":9,"text":"∥⊫⋋%⋟6682⨭⪣⋋%⋟5148=⋋%⋟6175","reverse_text":"⋋%⋟6175=∥⊫⋋%⋟6682⨭⪣⋋%⋟5148","cot":[{"info":"⋋%⋟6682⨭⪣⋋%⋟5148=⋋%⋟5011","layer":1},{"info":"∥⊫⋋%⋟5011=⋋%⋟6175","layer":0}]}
+{"id":501,"expression_no_base_symbol":"$1520$∘$5416$≀⩗∶(⩎⋉$1441$)","expression":"⋋%⋟2068∘⋋%⋟7377≀⩗∶(⩎⋉⋋%⋟1871)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":91,"operation_count":3,"complexity_ratio":30.333333333333332,"tree":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":1520,"base":9},"right_expr":{"type":"numeric_atoms","value":5416,"base":9}},"right_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"numeric_atoms","value":1441,"base":9}}},"used_operators":["8INZBEW696","Z5m6OM72h2","FlXk3pOYe8"],"dependent_operators":["KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","eH2TOUuTDT","rysDP5nf3Z","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ"],"result":"⋋%⋟0","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1520","layer":2},{"info":"number node, value=5416","layer":2},{"info":"compute binary expreesion, left_input=1520, right_input=5416, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=3040","layer":1},{"info":"number node, value=1441","layer":2},{"info":"compute unary expreesion, input=1441, 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=3040, right_input=1650, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟2068∘⋋%⋟7377≀⩗∶(⩎⋉⋋%⋟1871)=⋋%⋟0","reverse_text":"⋋%⋟0=⋋%⋟2068∘⋋%⋟7377≀⩗∶(⩎⋉⋋%⋟1871)","cot":[{"info":"⋋%⋟2068∘⋋%⋟7377=⋋%⋟4147","layer":1},{"info":"⩎⋉⋋%⋟1871=⋋%⋟2233","layer":1},{"info":"⋋%⋟4147≀⩗∶⋋%⋟2233=⋋%⋟0","layer":0}]}
+{"id":502,"expression_no_base_symbol":"(↥≼⋛$1527$)⊪","expression":"(↥≼⋛⋋%⋟2076)⊪","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":43,"operation_count":2,"complexity_ratio":21.5,"tree":{"type":"unary","operator":"⊪","unary_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"numeric_atoms","value":1527,"base":9}}},"used_operators":["zVYPLywUTj","x5lMkHmzsq"],"dependent_operators":["sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx"],"result":"⋋%⋟0","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1527","layer":2},{"info":"compute unary expreesion, input=1527, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-113","layer":1},{"info":"compute unary expreesion, input=-113, 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":9,"result_base":9,"text":"(↥≼⋛⋋%⋟2076)⊪=⋋%⋟0","reverse_text":"⋋%⋟0=(↥≼⋛⋋%⋟2076)⊪","cot":[{"info":"↥≼⋛⋋%⋟2076=⋋%⋟-135","layer":1},{"info":"⋋%⋟-135⊪=⋋%⋟0","layer":0}]}
+{"id":503,"expression_no_base_symbol":"$2041$⋥≓≎$1413$∕⩚($1341$≋⫹)","expression":"⋋%⋟2717⋥≓≎⋋%⋟1840∕⩚(⋋%⋟1750≋⫹)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":24,"operation_count":3,"complexity_ratio":8.0,"tree":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2041,"base":9},"right_expr":{"type":"numeric_atoms","value":1413,"base":9}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":1341,"base":9}}},"used_operators":["z9ffQ9n5Zr","Qy55tPpLXF","N41Kp7NANJ"],"dependent_operators":["3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⋋%⋟-601","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2041","layer":2},{"info":"number node, value=1413","layer":2},{"info":"compute binary expreesion, left_input=2041, right_input=1413, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=818","layer":1},{"info":"number node, value=1341","layer":2},{"info":"compute unary expreesion, input=1341, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-2682","layer":1},{"info":"compute binary expreesion, left_input=818, right_input=-2682, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟2717⋥≓≎⋋%⋟1840∕⩚(⋋%⋟1750≋⫹)=⋋%⋟-601","reverse_text":"⋋%⋟-601=⋋%⋟2717⋥≓≎⋋%⋟1840∕⩚(⋋%⋟1750≋⫹)","cot":[{"info":"⋋%⋟2717⋥≓≎⋋%⋟1840=⋋%⋟1108","layer":1},{"info":"⋋%⋟1750≋⫹=⋋%⋟-3610","layer":1},{"info":"⋋%⋟1108∕⩚⋋%⋟-3610=⋋%⋟-601","layer":0}]}
+{"id":504,"expression_no_base_symbol":"$7229$↳≱$2321$+$2981$⨥⫆$1552$","expression":"⋋%⋟10822↳≱⋋%⋟3158+⋋%⋟4072⨥⫆⋋%⋟2114","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":101,"operation_count":3,"complexity_ratio":33.666666666666664,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":7229,"base":9},"right_expr":{"type":"numeric_atoms","value":2321,"base":9}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":2981,"base":9},"right_expr":{"type":"numeric_atoms","value":1552,"base":9}}},"used_operators":["W4YGzv6Whe","JwTKLfZU96","yXekIHxTD4"],"dependent_operators":["DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X"],"result":"⋋%⋟4071","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=7229","layer":2},{"info":"number node, value=2321","layer":2},{"info":"compute binary expreesion, left_input=7229, right_input=2321, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":1},{"info":"number node, value=2981","layer":2},{"info":"number node, value=1552","layer":2},{"info":"compute binary expreesion, left_input=2981, right_input=1552, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=2980","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=2980, op_id = W4YGzv6Whe binary_op_definition= 'None', output=2980","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟10822↳≱⋋%⋟3158+⋋%⋟4072⨥⫆⋋%⋟2114=⋋%⋟4071","reverse_text":"⋋%⋟4071=⋋%⋟10822↳≱⋋%⋟3158+⋋%⋟4072⨥⫆⋋%⋟2114","cot":[{"info":"⋋%⋟10822↳≱⋋%⋟3158=⋋%⋟0","layer":1},{"info":"⋋%⋟4072⨥⫆⋋%⋟2114=⋋%⋟4071","layer":1},{"info":"⋋%⋟0+⋋%⋟4071=⋋%⋟4071","layer":0}]}
+{"id":505,"expression_no_base_symbol":"($2517$≬⇓$1735$)⫁($3586$⩣⫁∢$2298$)","expression":"(⋋%⋟3406≬⇓⋋%⋟2337)⫁(⋋%⋟4824⩣⫁∢⋋%⋟3133)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":21137,"operation_count":3,"complexity_ratio":7045.666666666667,"tree":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":2517,"base":9},"right_expr":{"type":"numeric_atoms","value":1735,"base":9}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":3586,"base":9},"right_expr":{"type":"numeric_atoms","value":2298,"base":9}}},"used_operators":["0ajvFaJAv0","jWTQ2TZYIH","JDUIKTTSIa"],"dependent_operators":["cHh1gJQ2o6","AHs5Up7iyr","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG"],"result":"⋋%⋟187","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2517","layer":2},{"info":"number node, value=1735","layer":2},{"info":"compute binary expreesion, left_input=2517, right_input=1735, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":1},{"info":"number node, value=3586","layer":2},{"info":"number node, value=2298","layer":2},{"info":"compute binary expreesion, left_input=3586, right_input=2298, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-7011","layer":1},{"info":"compute binary expreesion, left_input=-22, right_input=-7011, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟3406≬⇓⋋%⋟2337)⫁(⋋%⋟4824⩣⫁∢⋋%⋟3133)=⋋%⋟187","reverse_text":"⋋%⋟187=(⋋%⋟3406≬⇓⋋%⋟2337)⫁(⋋%⋟4824⩣⫁∢⋋%⋟3133)","cot":[{"info":"⋋%⋟3406≬⇓⋋%⋟2337=⋋%⋟-24","layer":1},{"info":"⋋%⋟4824⩣⫁∢⋋%⋟3133=⋋%⋟-10550","layer":1},{"info":"⋋%⋟-24⫁⋋%⋟-10550=⋋%⋟187","layer":0}]}
+{"id":506,"expression_no_base_symbol":"$1215$⨑⩅≇$1304$⇍⊗($2629$⪒$2591$)","expression":"⋋%⋟1600⨑⩅≇⋋%⋟1708⇍⊗(⋋%⋟3541⪒⋋%⋟3488)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1817,"operation_count":3,"complexity_ratio":605.6666666666666,"tree":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":1215,"base":9},"right_expr":{"type":"numeric_atoms","value":1304,"base":9}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2629,"base":9},"right_expr":{"type":"numeric_atoms","value":2591,"base":9}}},"used_operators":["5uvYHDjeKN","h92wMvzauj","f6k1SAg4EE"],"dependent_operators":["Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","W4YGzv6Whe","t8gj7n24qd"],"result":"⋋%⋟-301","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1215","layer":2},{"info":"number node, value=1304","layer":2},{"info":"compute binary expreesion, left_input=1215, right_input=1304, 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=-3645","layer":1},{"info":"number node, value=2629","layer":2},{"info":"number node, value=2591","layer":2},{"info":"compute binary expreesion, left_input=2629, right_input=2591, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5220","layer":1},{"info":"compute binary expreesion, left_input=-3645, right_input=-5220, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟1600⨑⩅≇⋋%⋟1708⇍⊗(⋋%⋟3541⪒⋋%⋟3488)=⋋%⋟-301","reverse_text":"⋋%⋟-301=⋋%⋟1600⨑⩅≇⋋%⋟1708⇍⊗(⋋%⋟3541⪒⋋%⋟3488)","cot":[{"info":"⋋%⋟1600⨑⩅≇⋋%⋟1708=⋋%⋟-5000","layer":1},{"info":"⋋%⋟3541⪒⋋%⋟3488=⋋%⋟-7140","layer":1},{"info":"⋋%⋟-5000⇍⊗⋋%⋟-7140=⋋%⋟-301","layer":0}]}
+{"id":507,"expression_no_base_symbol":"$4152$⪟⇏$6054$≳⇉($2700$⨭⪣$5874$)","expression":"⋋%⋟5623⪟⇏⋋%⋟8266≳⇉(⋋%⋟3630⨭⪣⋋%⋟8046)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":25487667,"operation_count":3,"complexity_ratio":8495889.0,"tree":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":4152,"base":9},"right_expr":{"type":"numeric_atoms","value":6054,"base":9}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":2700,"base":9},"right_expr":{"type":"numeric_atoms","value":5874,"base":9}}},"used_operators":["V0kx6qeWkN","GODebY97qR","kn8WO9XteQ"],"dependent_operators":["KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=4152","layer":2},{"info":"number node, value=6054","layer":2},{"info":"compute binary expreesion, left_input=4152, right_input=6054, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":1},{"info":"number node, value=2700","layer":2},{"info":"number node, value=5874","layer":2},{"info":"compute binary expreesion, left_input=2700, right_input=5874, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=1421","layer":1},{"info":"compute binary expreesion, left_input=-1, right_input=1421, 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":9,"result_base":9,"text":"⋋%⋟5623⪟⇏⋋%⋟8266≳⇉(⋋%⋟3630⨭⪣⋋%⋟8046)=NaN","reverse_text":"NaN=⋋%⋟5623⪟⇏⋋%⋟8266≳⇉(⋋%⋟3630⨭⪣⋋%⋟8046)","cot":[{"info":"⋋%⋟5623⪟⇏⋋%⋟8266=⋋%⋟-1","layer":1},{"info":"⋋%⋟3630⨭⪣⋋%⋟8046=⋋%⋟1848","layer":1},{"info":"⋋%⋟-1≳⇉⋋%⋟1848=NaN","layer":0}]}
+{"id":508,"expression_no_base_symbol":"$6445$∳⫺$2169$⪥($1186$⇼⇔∾$6404$)","expression":"⋋%⋟8751∳⫺⋋%⋟2870⪥(⋋%⋟1557⇼⇔∾⋋%⋟8705)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":82,"operation_count":3,"complexity_ratio":27.333333333333332,"tree":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":6445,"base":9},"right_expr":{"type":"numeric_atoms","value":2169,"base":9}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1186,"base":9},"right_expr":{"type":"numeric_atoms","value":6404,"base":9}}},"used_operators":["QbnwKVWMIQ","AzXXKTstlj","tifHPKVTfV"],"dependent_operators":["WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","rysDP5nf3Z","t8gj7n24qd"],"result":"⋋%⋟4853","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=6445","layer":2},{"info":"number node, value=2169","layer":2},{"info":"compute binary expreesion, left_input=6445, right_input=2169, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":1},{"info":"number node, value=1186","layer":2},{"info":"number node, value=6404","layer":2},{"info":"compute binary expreesion, left_input=1186, right_input=6404, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=5218","layer":1},{"info":"compute binary expreesion, left_input=-260, right_input=5218, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=3612","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟8751∳⫺⋋%⋟2870⪥(⋋%⋟1557⇼⇔∾⋋%⋟8705)=⋋%⋟4853","reverse_text":"⋋%⋟4853=⋋%⋟8751∳⫺⋋%⋟2870⪥(⋋%⋟1557⇼⇔∾⋋%⋟8705)","cot":[{"info":"⋋%⋟8751∳⫺⋋%⋟2870=⋋%⋟-318","layer":1},{"info":"⋋%⋟1557⇼⇔∾⋋%⋟8705=⋋%⋟7137","layer":1},{"info":"⋋%⋟-318⪥⋋%⋟7137=⋋%⋟4853","layer":0}]}
+{"id":509,"expression_no_base_symbol":"⨦⪝($2898$⊎←↗)","expression":"⨦⪝(⋋%⋟3870⊎←↗)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":42,"operation_count":2,"complexity_ratio":21.0,"tree":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"unary","operator":"⊎←↗","unary_expr":{"type":"numeric_atoms","value":2898,"base":9}}},"used_operators":["SUjycxNXIR","dwb5p0fa6d"],"dependent_operators":["V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","sdazOOVcIp","COABgblf1C"],"result":"⋋%⋟-2523","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2898","layer":2},{"info":"compute unary expreesion, input=2898, op_id = dwb5p0fa6d, unary_op_definition = 'a⊎←↗ = { (a⊭↱340) , if (a⪨≂940)!=203 ; (a⊭↱a) , else }', output=-5111","layer":1},{"info":"compute unary expreesion, input=-5111, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":0}],"base":9,"result_base":9,"text":"⨦⪝(⋋%⋟3870⊎←↗)=⋋%⋟-2523","reverse_text":"⋋%⋟-2523=⨦⪝(⋋%⋟3870⊎←↗)","cot":[{"info":"⋋%⋟3870⊎←↗=⋋%⋟-7008","layer":1},{"info":"⨦⪝⋋%⋟-7008=⋋%⋟-2523","layer":0}]}
+{"id":510,"expression_no_base_symbol":"$1014$⪘⫢$4645$≳⇉($1223$⫻⋑⊟)","expression":"⋋%⋟1346⪘⫢⋋%⋟6331≳⇉(⋋%⋟1608⫻⋑⊟)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":39431468,"operation_count":3,"complexity_ratio":13143822.666666666,"tree":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1014,"base":9},"right_expr":{"type":"numeric_atoms","value":4645,"base":9}},"right_expr":{"type":"unary","operator":"⫻⋑⊟","unary_expr":{"type":"numeric_atoms","value":1223,"base":9}}},"used_operators":["V0kx6qeWkN","oacrs7FA3X","o575Zjdmzy"],"dependent_operators":["KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","sdazOOVcIp","12rbrZMWeM","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1014","layer":2},{"info":"number node, value=4645","layer":2},{"info":"compute binary expreesion, left_input=1014, right_input=4645, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=1904","layer":1},{"info":"number node, value=1223","layer":2},{"info":"compute unary expreesion, input=1223, op_id = o575Zjdmzy, unary_op_definition = 'a⫻⋑⊟ = { ((a⨸⪁(⨞⊢a))⪨≂((a∲⫓a)⋳⪒(265-a))) }', output=-1936","layer":1},{"info":"compute binary expreesion, left_input=1904, right_input=-1936, 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":9,"result_base":9,"text":"⋋%⋟1346⪘⫢⋋%⋟6331≳⇉(⋋%⋟1608⫻⋑⊟)=NaN","reverse_text":"NaN=⋋%⋟1346⪘⫢⋋%⋟6331≳⇉(⋋%⋟1608⫻⋑⊟)","cot":[{"info":"⋋%⋟1346⪘⫢⋋%⋟6331=⋋%⋟2545","layer":1},{"info":"⋋%⋟1608⫻⋑⊟=⋋%⋟-2581","layer":1},{"info":"⋋%⋟2545≳⇉⋋%⋟-2581=NaN","layer":0}]}
+{"id":511,"expression_no_base_symbol":"(⨵$2385$)⨭⪣(⩩$6415$)","expression":"(⨵⋋%⋟3240)⨭⪣(⩩⋋%⋟8717)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7444,"operation_count":3,"complexity_ratio":2481.3333333333335,"tree":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"numeric_atoms","value":2385,"base":9}},"right_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"numeric_atoms","value":6415,"base":9}}},"used_operators":["kn8WO9XteQ","Tl3Y52tvF8","kMhfGuqI2H"],"dependent_operators":["vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX"],"result":"⋋%⋟-23","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2385","layer":2},{"info":"compute unary expreesion, input=2385, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=-20289","layer":1},{"info":"number node, value=6415","layer":2},{"info":"compute unary expreesion, input=6415, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-20289, 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":0}],"base":9,"result_base":9,"text":"(⨵⋋%⋟3240)⨭⪣(⩩⋋%⋟8717)=⋋%⋟-23","reverse_text":"⋋%⋟-23=(⨵⋋%⋟3240)⨭⪣(⩩⋋%⋟8717)","cot":[{"info":"⨵⋋%⋟3240=⋋%⋟-30743","layer":1},{"info":"⩩⋋%⋟8717=NaN","layer":1},{"info":"⋋%⋟-30743⨭⪣NaN=⋋%⋟-23","layer":0}]}
+{"id":512,"expression_no_base_symbol":"($4812$⩨$2255$)⪥(≑⋹$3912$)","expression":"(⋋%⋟6536⩨⋋%⋟3075)⪥(≑⋹⋋%⋟5326)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":133,"operation_count":3,"complexity_ratio":44.333333333333336,"tree":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":4812,"base":9},"right_expr":{"type":"numeric_atoms","value":2255,"base":9}},"right_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"numeric_atoms","value":3912,"base":9}}},"used_operators":["QbnwKVWMIQ","2DlMacCsIx","6B9nyZLogK"],"dependent_operators":["WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C"],"result":"⋋%⋟6338","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=4812","layer":2},{"info":"number node, value=2255","layer":2},{"info":"compute binary expreesion, left_input=4812, right_input=2255, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":1},{"info":"number node, value=3912","layer":2},{"info":"compute unary expreesion, input=3912, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=1650","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=1650, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=4652","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟6536⩨⋋%⋟3075)⪥(≑⋹⋋%⋟5326)=⋋%⋟6338","reverse_text":"⋋%⋟6338=(⋋%⋟6536⩨⋋%⋟3075)⪥(≑⋹⋋%⋟5326)","cot":[{"info":"⋋%⋟6536⩨⋋%⋟3075=⋋%⋟0","layer":1},{"info":"≑⋹⋋%⋟5326=⋋%⋟2233","layer":1},{"info":"⋋%⋟0⪥⋋%⋟2233=⋋%⋟6338","layer":0}]}
+{"id":513,"expression_no_base_symbol":"$6519$⪃⊛⇣$1902$⫒⫫$4598$⪟⇏$1098$","expression":"⋋%⋟8843⪃⊛⇣⋋%⋟2543⫒⫫⋋%⋟6268⪟⇏⋋%⋟1450","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":603,"operation_count":3,"complexity_ratio":201.0,"tree":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":6519,"base":9},"right_expr":{"type":"numeric_atoms","value":1902,"base":9}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":4598,"base":9},"right_expr":{"type":"numeric_atoms","value":1098,"base":9}}},"used_operators":["6Ko8hGgeMq","rrgAzCduG9","GODebY97qR"],"dependent_operators":["jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=6519","layer":2},{"info":"number node, value=1902","layer":2},{"info":"compute binary expreesion, left_input=6519, right_input=1902, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":1},{"info":"number node, value=4598","layer":2},{"info":"number node, value=1098","layer":2},{"info":"compute binary expreesion, left_input=4598, right_input=1098, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=-1, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟8843⪃⊛⇣⋋%⋟2543⫒⫫���%⋟6268⪟⇏⋋%⋟1450=NaN","reverse_text":"NaN=⋋%⋟8843⪃⊛⇣⋋%⋟2543⫒⫫⋋%⋟6268⪟⇏⋋%⋟1450","cot":[{"info":"⋋%⋟8843⪃⊛⇣⋋%⋟2543=⋋%⋟1621","layer":1},{"info":"⋋%⋟6268⪟⇏⋋%⋟1450=⋋%⋟-1","layer":1},{"info":"⋋%⋟1621⫒⫫⋋%⋟-1=NaN","layer":0}]}
+{"id":514,"expression_no_base_symbol":"$4410$≚⊃≕$1729$∪⫐$1606$⇼⇔∾$1315$","expression":"⋋%⋟6040≚⊃≕⋋%⋟2331∪⫐⋋%⋟2174⇼⇔∾⋋%⋟1721","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":25,"operation_count":3,"complexity_ratio":8.333333333333334,"tree":{"type":"binary","operator":"∪⫐","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":4410,"base":9},"right_expr":{"type":"numeric_atoms","value":1729,"base":9}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1606,"base":9},"right_expr":{"type":"numeric_atoms","value":1315,"base":9}}},"used_operators":["7YooWSwCyH","Bmrmz2XGnR","tifHPKVTfV"],"dependent_operators":["rJVOvQCfKK","2DDjHMKMc0","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd"],"result":"⋋%⋟74","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=4410","layer":2},{"info":"number node, value=1729","layer":2},{"info":"compute binary expreesion, left_input=4410, right_input=1729, 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":"number node, value=1606","layer":2},{"info":"number node, value=1315","layer":2},{"info":"compute binary expreesion, left_input=1606, right_input=1315, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-291","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=-291, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=67","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟6040≚⊃≕⋋%⋟2331∪⫐⋋%⋟2174⇼⇔∾⋋%⋟1721=⋋%⋟74","reverse_text":"⋋%⋟74=⋋%⋟6040≚⊃≕⋋%⋟2331∪⫐⋋%⋟2174⇼⇔∾⋋%⋟1721","cot":[{"info":"⋋%⋟6040≚⊃≕⋋%⋟2331=⋋%⋟74","layer":1},{"info":"⋋%⋟2174⇼⇔∾⋋%⋟1721=⋋%⋟-353","layer":1},{"info":"⋋%⋟74∪⫐⋋%⋟-353=⋋%⋟74","layer":0}]}
+{"id":515,"expression_no_base_symbol":"⫓⪴($2372$⫲≸⪮$6242$)","expression":"⫓⪴(⋋%⋟3225⫲≸⪮⋋%⋟8505)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4744,"operation_count":2,"complexity_ratio":2372.0,"tree":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":2372,"base":9},"right_expr":{"type":"numeric_atoms","value":6242,"base":9}}},"used_operators":["eLxqMNBOBk","P3lXMJvFrc"],"dependent_operators":["9HNa5Wba9A","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I"],"result":"⋋%⋟11524847","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2372","layer":2},{"info":"number node, value=6242","layer":2},{"info":"compute binary expreesion, left_input=2372, right_input=6242, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=2372","layer":1},{"info":"compute unary expreesion, input=2372, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=5626384","layer":0}],"base":9,"result_base":9,"text":"⫓⪴(⋋%⋟3225⫲≸⪮⋋%⋟8505)=⋋%⋟11524847","reverse_text":"⋋%⋟11524847=⫓⪴(⋋%⋟3225⫲≸⪮⋋%⋟8505)","cot":[{"info":"⋋%⋟3225⫲≸⪮⋋%⋟8505=⋋%⋟3225","layer":1},{"info":"⫓⪴⋋%⋟3225=⋋%⋟11524847","layer":0}]}
+{"id":516,"expression_no_base_symbol":"⩏⊷≩$3711$⪕$1442$","expression":"⩏⊷≩⋋%⋟5073⪕⋋%⋟1872","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":28,"operation_count":2,"complexity_ratio":14.0,"tree":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":3711,"base":9},"right_expr":{"type":"numeric_atoms","value":1442,"base":9}}},"used_operators":["uOZ1tnYMDE","umQnsF7QlU"],"dependent_operators":["23Mk6UjR3U","12rbrZMWeM","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF"],"result":"⋋%⋟20416","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3711","layer":2},{"info":"number node, value=1442","layer":2},{"info":"compute binary expreesion, left_input=3711, right_input=1442, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=6881","layer":1},{"info":"compute unary expreesion, input=6881, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=13461","layer":0}],"base":9,"result_base":9,"text":"⩏⊷≩⋋%⋟5073⪕⋋%⋟1872=⋋%⋟20416","reverse_text":"⋋%⋟20416=⩏⊷≩⋋%⋟5073⪕⋋%⋟1872","cot":[{"info":"⋋%⋟5073⪕⋋%⋟1872=⋋%⋟10385","layer":1},{"info":"⩏⊷≩⋋%⋟10385=⋋%⋟20416","layer":0}]}
+{"id":517,"expression_no_base_symbol":"$3208$≥⨤⩑$4466$-$1718$⫯⪬∳$1418$","expression":"⋋%⋟4354≥⨤⩑⋋%⋟6112-⋋%⋟2318⫯⪬∳⋋%⋟1845","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":22,"operation_count":3,"complexity_ratio":7.333333333333333,"tree":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":3208,"base":9},"right_expr":{"type":"numeric_atoms","value":4466,"base":9}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":1718,"base":9},"right_expr":{"type":"numeric_atoms","value":1418,"base":9}}},"used_operators":["rysDP5nf3Z","gJLn6v0xnP","d7ASUq0ydm"],"dependent_operators":["mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2"],"result":"⋋%⋟-8164","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3208","layer":2},{"info":"number node, value=4466","layer":2},{"info":"compute binary expreesion, left_input=3208, right_input=4466, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":1},{"info":"number node, value=1718","layer":2},{"info":"number node, value=1418","layer":2},{"info":"compute binary expreesion, left_input=1718, right_input=1418, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=7205","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=7205, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-5971","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟4354≥⨤⩑⋋%⋟6112-⋋%⋟2318⫯⪬∳⋋%⋟1845=⋋%⋟-8164","reverse_text":"⋋%⋟-8164=⋋%⋟4354≥⨤⩑⋋%⋟6112-⋋%⋟2318⫯⪬∳⋋%⋟1845","cot":[{"info":"⋋%⋟4354≥⨤⩑⋋%⋟6112=⋋%⋟1621","layer":1},{"info":"⋋%⋟2318⫯⪬∳⋋%⋟1845=⋋%⋟10785","layer":1},{"info":"⋋%⋟1621-⋋%⋟10785=⋋%⋟-8164","layer":0}]}
+{"id":518,"expression_no_base_symbol":"$4033$∠↢$4500$+$1035$↳∿⪆$2263$","expression":"⋋%⋟5471∠↢⋋%⋟6150+⋋%⋟1370↳∿⪆⋋%⋟3084","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2423,"operation_count":3,"complexity_ratio":807.6666666666666,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":4033,"base":9},"right_expr":{"type":"numeric_atoms","value":4500,"base":9}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":1035,"base":9},"right_expr":{"type":"numeric_atoms","value":2263,"base":9}}},"used_operators":["W4YGzv6Whe","KbjG8mgYpV","Cw4SuJJGHO"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=4033","layer":2},{"info":"number node, value=4500","layer":2},{"info":"compute binary expreesion, left_input=4033, right_input=4500, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-78050","layer":1},{"info":"number node, value=1035","layer":2},{"info":"number node, value=2263","layer":2},{"info":"compute binary expreesion, left_input=1035, right_input=2263, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-78050, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟5471∠↢⋋%⋟6150+⋋%⋟1370↳∿⪆⋋%⋟3084=NaN","reverse_text":"NaN=⋋%⋟5471∠↢⋋%⋟6150+⋋%⋟1370↳∿⪆⋋%⋟3084","cot":[{"info":"⋋%⋟5471∠↢⋋%⋟6150=⋋%⋟-128052","layer":1},{"info":"⋋%⋟1370↳∿⪆⋋%⋟3084=NaN","layer":1},{"info":"⋋%⋟-128052+NaN=NaN","layer":0}]}
+{"id":519,"expression_no_base_symbol":"($4035$-$1260$)⋛(⋣$3356$)","expression":"(⋋%⋟5473-⋋%⋟1650)⋛(⋣⋋%⋟4538)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":231,"operation_count":3,"complexity_ratio":77.0,"tree":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":4035,"base":9},"right_expr":{"type":"numeric_atoms","value":1260,"base":9}},"right_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"numeric_atoms","value":3356,"base":9}}},"used_operators":["YbUVn0Rbpy","rysDP5nf3Z","zQWRhDnn8F"],"dependent_operators":["d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY"],"result":"⋋%⋟-5510056","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=4035","layer":2},{"info":"number node, value=1260","layer":2},{"info":"compute binary expreesion, left_input=4035, right_input=1260, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2775","layer":1},{"info":"number node, value=3356","layer":2},{"info":"compute unary expreesion, input=3356, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-986569","layer":1},{"info":"compute binary expreesion, left_input=2775, right_input=-986569, 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=-2959062","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟5473-⋋%⋟1650)⋛(⋣⋋%⋟4538)=⋋%⋟-5510056","reverse_text":"⋋%⋟-5510056=(⋋%⋟5473-⋋%⋟1650)⋛(⋣⋋%⋟4538)","cot":[{"info":"⋋%⋟5473-⋋%⋟1650=⋋%⋟3723","layer":1},{"info":"⋣⋋%⋟4538=⋋%⋟-1763277","layer":1},{"info":"⋋%⋟3723⋛⋋%⋟-1763277=⋋%⋟-5510056","layer":0}]}
+{"id":520,"expression_no_base_symbol":"$1691$⪎↠$5412$⪁(+⊝⨔$6222$)","expression":"⋋%⋟2278⪎↠⋋%⋟7373⪁(+⊝⨔⋋%⋟8473)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":28479165,"operation_count":3,"complexity_ratio":9493055.0,"tree":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":1691,"base":9},"right_expr":{"type":"numeric_atoms","value":5412,"base":9}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":6222,"base":9}}},"used_operators":["I7sXao9hZE","3tVxb0NHM4","DhbWaqg5eL"],"dependent_operators":["dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1691","layer":2},{"info":"number node, value=5412","layer":2},{"info":"compute binary expreesion, left_input=1691, right_input=5412, 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=6222","layer":2},{"info":"compute unary expreesion, input=6222, 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":1},{"info":"compute binary expreesion, left_input=160, right_input=1522, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟2278⪎↠⋋%⋟7373⪁(+⊝⨔⋋%⋟8473)=NaN","reverse_text":"NaN=⋋%⋟2278⪎↠⋋%⋟7373⪁(+⊝⨔⋋%⋟8473)","cot":[{"info":"⋋%⋟2278⪎↠⋋%⋟7373=⋋%⋟187","layer":1},{"info":"+⊝⨔⋋%⋟8473=⋋%⋟2071","layer":1},{"info":"⋋%⋟187⪁⋋%⋟2071=NaN","layer":0}]}
+{"id":521,"expression_no_base_symbol":"($2484$⋭≵$1517$)⇮⋭$1513$↡⊰⫅$2354$","expression":"(⋋%⋟3360⋭≵⋋%⋟2065)⇮⋭⋋%⋟2061↡⊰⫅⋋%⋟3205","highest_n_order":3,"priority_hierarchical_complexity":1,"normalized_expansion_degree":33075,"operation_count":3,"complexity_ratio":11025.0,"tree":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":2484,"base":9},"right_expr":{"type":"numeric_atoms","value":1517,"base":9}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":1513,"base":9},"right_expr":{"type":"numeric_atoms","value":2354,"base":9}}},"used_operators":["vkpjKywKVM","jBncVCNhdl","VCtxkLNOzz"],"dependent_operators":["nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn"],"result":"⋋%⋟-575","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=2484","layer":2},{"info":"number node, value=1517","layer":2},{"info":"compute binary expreesion, left_input=2484, right_input=1517, 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":"number node, value=1513","layer":2},{"info":"number node, value=2354","layer":2},{"info":"compute binary expreesion, left_input=1513, right_input=2354, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=4708","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=4708, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟3360⋭≵⋋%⋟2065)⇮⋭⋋%⋟2061↡⊰⫅⋋%⋟3205=⋋%⋟-575","reverse_text":"⋋%⋟-575=(⋋%⋟3360⋭≵⋋%⋟2065)⇮⋭⋋%⋟2061↡⊰⫅⋋%⋟3205","cot":[{"info":"⋋%⋟3360⋭≵⋋%⋟2065=⋋%⋟74","layer":1},{"info":"⋋%⋟2061↡⊰⫅⋋%⋟3205=⋋%⋟6411","layer":1},{"info":"⋋%⋟74⇮⋭⋋%⋟6411=⋋%⋟-575","layer":0}]}
+{"id":522,"expression_no_base_symbol":"⇖($2554$⫸⊐$6926$)","expression":"⇖(⋋%⋟3447⫸⊐⋋%⋟10445)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":25,"operation_count":2,"complexity_ratio":12.5,"tree":{"type":"unary","operator":"⇖","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2554,"base":9},"right_expr":{"type":"numeric_atoms","value":6926,"base":9}}},"used_operators":["tfWHHpNKUN","mqXw5SEYmG"],"dependent_operators":["2DQ55sFlQl","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"⋋%⋟187","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=2554","layer":2},{"info":"number node, value=6926","layer":2},{"info":"compute binary expreesion, left_input=2554, right_input=6926, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=27579","layer":1},{"info":"compute unary expreesion, input=27579, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":0}],"base":9,"result_base":9,"text":"⇖(⋋%⋟3447⫸⊐⋋%⋟10445)=⋋%⋟187","reverse_text":"⋋%⋟187=⇖(⋋%⋟3447⫸⊐⋋%⋟10445)","cot":[{"info":"⋋%⋟3447⫸⊐⋋%⋟10445=⋋%⋟41743","layer":1},{"info":"⇖⋋%⋟41743=⋋%⋟187","layer":0}]}
+{"id":523,"expression_no_base_symbol":"($1037$⨒$5277$)⩒⫫$1830$⪃⊛⇣$4248$","expression":"(⋋%⋟1372⨒⋋%⋟7213)⩒⫫⋋%⋟2453⪃⊛⇣⋋%⋟5740","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":618,"operation_count":3,"complexity_ratio":206.0,"tree":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":1037,"base":9},"right_expr":{"type":"numeric_atoms","value":5277,"base":9}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":1830,"base":9},"right_expr":{"type":"numeric_atoms","value":4248,"base":9}}},"used_operators":["KFSx94NKJn","y75s1iXyHd","rrgAzCduG9"],"dependent_operators":["NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA"],"result":"⋋%⋟187","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1037","layer":2},{"info":"number node, value=5277","layer":2},{"info":"compute binary expreesion, left_input=1037, right_input=5277, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-5850","layer":1},{"info":"number node, value=1830","layer":2},{"info":"number node, value=4248","layer":2},{"info":"compute binary expreesion, left_input=1830, right_input=4248, 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=-5850, right_input=1234, 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":9,"result_base":9,"text":"(⋋%⋟1372⨒⋋%⋟7213)⩒⫫⋋%⋟2453⪃⊛⇣⋋%⋟5740=⋋%⋟187","reverse_text":"⋋%⋟187=(⋋%⋟1372⨒⋋%⋟7213)⩒⫫⋋%⋟2453⪃⊛⇣⋋%⋟5740","cot":[{"info":"⋋%⋟1372⨒⋋%⋟7213=⋋%⋟-8020","layer":1},{"info":"⋋%⋟2453⪃⊛⇣⋋%⋟5740=⋋%⋟1621","layer":1},{"info":"⋋%⋟-8020⩒⫫⋋%⋟1621=⋋%⋟187","layer":0}]}
+{"id":524,"expression_no_base_symbol":"$2153$≦↸$1131$⫲","expression":"⋋%⋟2852≦↸⋋%⋟1486⫲","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":31,"operation_count":2,"complexity_ratio":15.5,"tree":{"type":"unary","operator":"⫲","unary_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":2153,"base":9},"right_expr":{"type":"numeric_atoms","value":1131,"base":9}}},"used_operators":["9xnGDUPbC6","RygbFNSyEJ"],"dependent_operators":["NTOWxs364D","Qy55tPpLXF","DZ8iAZOCBD","8w2t5hMYqp","2DDjHMKMc0","AF7qkfDlqP","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj"],"result":"⋋%⋟16877","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2153","layer":2},{"info":"number node, value=1131","layer":2},{"info":"compute binary expreesion, left_input=2153, right_input=1131, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-5887","layer":1},{"info":"compute unary expreesion, input=-5887, op_id = 9xnGDUPbC6, unary_op_definition = 'a⫲ = { ((272⩚⊴⇥36)⊉≛↸(⨑⩽⪐a)) , if (⊄⩳↩a)<13 ; ((a⩚⊴⇥a)⋝⋈⪟(533⋥≓≎a)) , else }', output=11653","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟2852≦↸⋋%⋟1486⫲=⋋%⋟16877","reverse_text":"⋋%⋟16877=⋋%⋟2852≦↸⋋%⋟1486⫲","cot":[{"info":"⋋%⋟2852≦↸⋋%⋟1486=⋋%⋟-8061","layer":1},{"info":"⋋%⋟-8061⫲=⋋%⋟16877","layer":0}]}
+{"id":525,"expression_no_base_symbol":"$4803$∛$1020$⫃⨇$1783$⨒$1527$","expression":"⋋%⋟6526∛⋋%⋟1353⫃⨇⋋%⋟2401⨒⋋%⋟2076","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":101,"operation_count":3,"complexity_ratio":33.666666666666664,"tree":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":4803,"base":9},"right_expr":{"type":"numeric_atoms","value":1020,"base":9}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":1783,"base":9},"right_expr":{"type":"numeric_atoms","value":1527,"base":9}}},"used_operators":["09Ly4LVMIf","w2537kitQq","y75s1iXyHd"],"dependent_operators":["9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","srAu1WTS94","oacrs7FA3X","7qqUquhhSb"],"result":"⋋%⋟62547","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=4803","layer":2},{"info":"number node, value=1020","layer":2},{"info":"compute binary expreesion, left_input=4803, right_input=1020, 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":"number node, value=1783","layer":2},{"info":"number node, value=1527","layer":2},{"info":"compute binary expreesion, left_input=1783, right_input=1527, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-10326","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=-10326, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=41272","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟6526∛⋋%⋟1353⫃⨇⋋%⋟2401⨒⋋%⋟2076=⋋%⋟62547","reverse_text":"⋋%⋟62547=⋋%⋟6526∛⋋%⋟1353⫃⨇⋋%⋟2401⨒⋋%⋟2076","cot":[{"info":"⋋%⋟6526∛⋋%⋟1353=⋋%⋟74","layer":1},{"info":"⋋%⋟2401⨒⋋%⋟2076=⋋%⋟-15143","layer":1},{"info":"⋋%⋟74⫃⨇⋋%⋟-15143=⋋%⋟62547","layer":0}]}
+{"id":526,"expression_no_base_symbol":"($1657$⩺⪪$1594$)⩱","expression":"(⋋%⋟2241⩺⪪⋋%⋟2161)⩱","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":145,"operation_count":2,"complexity_ratio":72.5,"tree":{"type":"unary","operator":"⩱","unary_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":1657,"base":9},"right_expr":{"type":"numeric_atoms","value":1594,"base":9}}},"used_operators":["uyq1hVkAcj","uvdQJvN4PV"],"dependent_operators":["DpFCA1CohY","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","COABgblf1C","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U"],"result":"⋋%⋟16308","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1657","layer":2},{"info":"number node, value=1594","layer":2},{"info":"compute binary expreesion, left_input=1657, right_input=1594, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1906","layer":1},{"info":"compute unary expreesion, input=-1906, op_id = uyq1hVkAcj, unary_op_definition = 'a⩱ = { ((⋗⩬⋾(a⊭↱a))↺((a⨸⪁a)⪒(a⨸⪁125))) }', output=11186","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟2241⩺⪪⋋%⋟2161)⩱=⋋%⋟16308","reverse_text":"⋋%⋟16308=(⋋%⋟2241⩺⪪⋋%⋟2161)⩱","cot":[{"info":"⋋%⋟2241⩺⪪⋋%⋟2161=⋋%⋟-2547","layer":1},{"info":"⋋%⋟-2547⩱=⋋%⋟16308","layer":0}]}
+{"id":527,"expression_no_base_symbol":"($7557$⫯⪬∳$3423$)⋹⋡⊁($2035$⨑≵⋬$5852$)","expression":"(⋋%⋟11326⫯⪬∳⋋%⋟4623)⋹⋡⊁(⋋%⋟2711⨑≵⋬⋋%⋟8022)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":51,"operation_count":3,"complexity_ratio":17.0,"tree":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":7557,"base":9},"right_expr":{"type":"numeric_atoms","value":3423,"base":9}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":2035,"base":9},"right_expr":{"type":"numeric_atoms","value":5852,"base":9}}},"used_operators":["As8RqfVLgs","d7ASUq0ydm","XnXgA4xnOs"],"dependent_operators":["ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q"],"result":"⋋%⋟458072","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=7557","layer":2},{"info":"number node, value=3423","layer":2},{"info":"compute binary expreesion, left_input=7557, right_input=3423, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=34395","layer":1},{"info":"number node, value=2035","layer":2},{"info":"number node, value=5852","layer":2},{"info":"compute binary expreesion, left_input=2035, right_input=5852, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-29410","layer":1},{"info":"compute binary expreesion, left_input=34395, right_input=-29410, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=274898","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟11326⫯⪬∳⋋%⋟4623)⋹⋡⊁(⋋%⋟2711⨑≵⋬⋋%⋟8022)=⋋%⋟458072","reverse_text":"⋋%⋟458072=(⋋%⋟11326⫯⪬∳⋋%⋟4623)⋹⋡⊁(⋋%⋟2711⨑≵⋬⋋%⋟8022)","cot":[{"info":"⋋%⋟11326⫯⪬∳⋋%⋟4623=⋋%⋟52156","layer":1},{"info":"⋋%⋟2711⨑≵⋬⋋%⋟8022=⋋%⋟-44307","layer":1},{"info":"⋋%⋟52156⋹⋡⊁⋋%⋟-44307=⋋%⋟458072","layer":0}]}
+{"id":528,"expression_no_base_symbol":"(∂⩏⊆$4428$)⋷(→⩰$2072$)","expression":"(∂⩏⊆⋋%⋟6060)⋷(→⩰⋋%⋟2752)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2464,"operation_count":3,"complexity_ratio":821.3333333333334,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"numeric_atoms","value":4428,"base":9}},"right_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"numeric_atoms","value":2072,"base":9}}},"used_operators":["23Mk6UjR3U","8WDwsbhb0R","o8Pngz0Tml"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","14qkJME0vr","eLAdDNolq6","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL"],"result":"⋋%⋟40585","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=4428","layer":2},{"info":"compute unary expreesion, input=4428, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-13363","layer":1},{"info":"number node, value=2072","layer":2},{"info":"compute unary expreesion, input=2072, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-13363, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=26726","layer":0}],"base":9,"result_base":9,"text":"(∂⩏⊆⋋%⋟6060)⋷(→⩰⋋%⋟2752)=⋋%⋟40585","reverse_text":"⋋%⋟40585=(∂⩏⊆⋋%⋟6060)⋷(→⩰⋋%⋟2752)","cot":[{"info":"∂⩏⊆⋋%⋟6060=⋋%⋟-20287","layer":1},{"info":"→⩰⋋%⋟2752=NaN","layer":1},{"info":"⋋%⋟-20287⋷NaN=⋋%⋟40585","layer":0}]}
+{"id":529,"expression_no_base_symbol":"$1273$≚⊃≕$6299$⇴$1073$∴$1038$","expression":"⋋%⋟1664≚⊃≕⋋%⋟8568⇴⋋%⋟1422∴⋋%⋟1373","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":44,"operation_count":3,"complexity_ratio":14.666666666666666,"tree":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":1273,"base":9},"right_expr":{"type":"numeric_atoms","value":6299,"base":9}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":1073,"base":9},"right_expr":{"type":"numeric_atoms","value":1038,"base":9}}},"used_operators":["4JB6nKBMSY","Bmrmz2XGnR","hrf7POJlIJ"],"dependent_operators":["sdazOOVcIp","NTOWxs364D","COABgblf1C","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U"],"result":"⋋%⋟-180421","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1273","layer":2},{"info":"number node, value=6299","layer":2},{"info":"compute binary expreesion, left_input=1273, right_input=6299, 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=-19847","layer":1},{"info":"number node, value=1073","layer":2},{"info":"number node, value=1038","layer":2},{"info":"compute binary expreesion, left_input=1073, right_input=1038, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=3794","layer":1},{"info":"compute binary expreesion, left_input=-19847, right_input=3794, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=-111880","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟1664≚⊃≕⋋%⋟8568⇴⋋%⋟1422∴⋋%⋟1373=⋋%⋟-180421","reverse_text":"⋋%⋟-180421=⋋%⋟1664≚⊃≕⋋%⋟8568⇴⋋%⋟1422∴⋋%⋟1373","cot":[{"info":"⋋%⋟1664≚⊃≕⋋%⋟8568=⋋%⋟-30202","layer":1},{"info":"⋋%⋟1422∴⋋%⋟1373=⋋%⋟5175","layer":1},{"info":"⋋%⋟-30202⇴⋋%⋟5175=⋋%⋟-180421","layer":0}]}
+{"id":530,"expression_no_base_symbol":"≅≯⇸$1931$⨒$2237$","expression":"≅≯⇸⋋%⋟2575⨒⋋%⋟3055","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":34,"operation_count":2,"complexity_ratio":17.0,"tree":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":1931,"base":9},"right_expr":{"type":"numeric_atoms","value":2237,"base":9}}},"used_operators":["apS25hmuAe","y75s1iXyHd"],"dependent_operators":["EBcxylXtPf","QMFrweE19q","srAu1WTS94","oacrs7FA3X","7qqUquhhSb"],"result":"⋋%⋟-56000","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1931","layer":2},{"info":"number node, value=2237","layer":2},{"info":"compute binary expreesion, left_input=1931, right_input=2237, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-11214","layer":1},{"info":"compute unary expreesion, input=-11214, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=-37179","layer":0}],"base":9,"result_base":9,"text":"≅≯⇸⋋%⋟2575⨒⋋%⋟3055=⋋%⋟-56000","reverse_text":"⋋%⋟-56000=≅≯⇸⋋%⋟2575⨒⋋%⋟3055","cot":[{"info":"⋋%⋟2575⨒⋋%⋟3055=⋋%⋟-16340","layer":1},{"info":"≅≯⇸⋋%⋟-16340=⋋%⋟-56000","layer":0}]}
+{"id":531,"expression_no_base_symbol":"(∤↝$3084$)⇌⫙⪟($8510$∕⩚$1816$)","expression":"(∤↝⋋%⋟4206)⇌⫙⪟(⋋%⋟12605∕⩚⋋%⋟2437)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8547,"operation_count":3,"complexity_ratio":2849.0,"tree":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"numeric_atoms","value":3084,"base":9}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":8510,"base":9},"right_expr":{"type":"numeric_atoms","value":1816,"base":9}}},"used_operators":["AFVx7xoS7T","3UMq87Qwqg","z9ffQ9n5Zr"],"dependent_operators":["DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr"],"result":"⋋%⋟54871","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3084","layer":2},{"info":"compute unary expreesion, input=3084, 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=3084","layer":1},{"info":"number node, value=8510","layer":2},{"info":"number node, value=1816","layer":2},{"info":"compute binary expreesion, left_input=8510, right_input=1816, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-8513","layer":1},{"info":"compute binary expreesion, left_input=3084, right_input=-8513, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=36433","layer":0}],"base":9,"result_base":9,"text":"(∤↝⋋%⋟4206)⇌⫙⪟(⋋%⋟12605∕⩚⋋%⋟2437)=⋋%⋟54871","reverse_text":"⋋%⋟54871=(∤↝⋋%⋟4206)⇌⫙⪟(⋋%⋟12605∕⩚⋋%⋟2437)","cot":[{"info":"∤↝⋋%⋟4206=⋋%⋟4206","layer":1},{"info":"⋋%⋟12605∕⩚⋋%⋟2437=⋋%⋟-12608","layer":1},{"info":"⋋%⋟4206⇌⫙⪟⋋%⋟-12608=⋋%⋟54871","layer":0}]}
+{"id":532,"expression_no_base_symbol":"$1285$→⨶⪴$2070$⋆⋳","expression":"⋋%⋟1677→⨶⪴⋋%⋟2750⋆⋳","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":14,"operation_count":2,"complexity_ratio":7.0,"tree":{"type":"unary","operator":"⋆⋳","unary_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":1285,"base":9},"right_expr":{"type":"numeric_atoms","value":2070,"base":9}}},"used_operators":["6MpZysEj17","bF6eod5Gvf"],"dependent_operators":["9FxExcQeMw","7j4O788W3g","DIvbN7qnHd","8w2t5hMYqp","9FxExcQeMw"],"result":"⋋%⋟17884","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1285","layer":2},{"info":"number node, value=2070","layer":2},{"info":"compute binary expreesion, left_input=1285, right_input=2070, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-6210","layer":1},{"info":"compute unary expreesion, input=-6210, op_id = 6MpZysEj17, unary_op_definition = 'a⋆⋳ = { ((a⊠≄⫣)⩷∴(a↺a)) }', output=12388","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟1677→⨶⪴⋋%⋟2750⋆⋳=⋋%⋟17884","reverse_text":"⋋%⋟17884=⋋%⋟1677→⨶⪴⋋%⋟2750⋆⋳","cot":[{"info":"⋋%⋟1677→⨶⪴⋋%⋟2750=⋋%⋟-8460","layer":1},{"info":"⋋%⋟-8460⋆⋳=⋋%⋟17884","layer":0}]}
+{"id":533,"expression_no_base_symbol":"$1469$≁↽≥$1058$⫥∨⫟(↥$8073$)","expression":"⋋%⋟2012≁↽≥⋋%⋟1405⫥∨⫟(↥⋋%⋟12060)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":336,"operation_count":3,"complexity_ratio":112.0,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":1469,"base":9},"right_expr":{"type":"numeric_atoms","value":1058,"base":9}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":8073,"base":9}}},"used_operators":["KYD54nUTWz","ncHt1X6cMc","A8NUZmVepG"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","oWn0xqSxBt","3Oe9XWJUTD","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1469","layer":2},{"info":"number node, value=1058","layer":2},{"info":"compute binary expreesion, left_input=1469, right_input=1058, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=26825","layer":1},{"info":"number node, value=8073","layer":2},{"info":"compute unary expreesion, input=8073, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=15","layer":1},{"info":"compute binary expreesion, left_input=26825, right_input=15, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟2012≁↽≥⋋%⋟1405⫥∨⫟(↥⋋%⋟12060)=NaN","reverse_text":"NaN=⋋%⋟2012≁↽≥⋋%⋟1405⫥∨⫟(↥⋋%⋟12060)","cot":[{"info":"⋋%⋟2012≁↽≥⋋%⋟1405=⋋%⋟40715","layer":1},{"info":"↥⋋%⋟12060=⋋%⋟16","layer":1},{"info":"⋋%⋟40715⫥∨⫟⋋%⋟16=NaN","layer":0}]}
+{"id":534,"expression_no_base_symbol":"$6171$⪝$4206$≌($4623$⊚⫡⫭)","expression":"⋋%⋟8416⪝⋋%⋟5683≌(⋋%⋟6306⊚⫡⫭)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9197,"operation_count":3,"complexity_ratio":3065.6666666666665,"tree":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":6171,"base":9},"right_expr":{"type":"numeric_atoms","value":4206,"base":9}},"right_expr":{"type":"unary","operator":"⊚⫡⫭","unary_expr":{"type":"numeric_atoms","value":4623,"base":9}}},"used_operators":["lyWz822IDG","wicAB68Tmb","SpZWOsLKZJ"],"dependent_operators":["B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","P8v4zCKN1o","rysDP5nf3Z","e1ybzncUwg","N41Kp7NANJ","sdazOOVcIp","Ph9nP6C5qx"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=6171","layer":2},{"info":"number node, value=4206","layer":2},{"info":"compute binary expreesion, left_input=6171, right_input=4206, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-8259","layer":1},{"info":"number node, value=4623","layer":2},{"info":"compute unary expreesion, input=4623, op_id = SpZWOsLKZJ, unary_op_definition = 'a⊚⫡⫭ = { (((∥⊫a)≧⫂∧(≉a))⪨≂((177-a)≋⫹)) }', output=-8320","layer":1},{"info":"compute binary expreesion, left_input=-8259, right_input=-8320, 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":9,"result_base":9,"text":"⋋%⋟8416⪝⋋%⋟5683≌(⋋%⋟6306⊚⫡⫭)=NaN","reverse_text":"NaN=⋋%⋟8416⪝⋋%⋟5683≌(⋋%⋟6306⊚⫡⫭)","cot":[{"info":"⋋%⋟8416⪝⋋%⋟5683=⋋%⋟-12286","layer":1},{"info":"⋋%⋟6306⊚⫡⫭=⋋%⋟-12364","layer":1},{"info":"⋋%⋟-12286≌⋋%⋟-12364=NaN","layer":0}]}
+{"id":535,"expression_no_base_symbol":"$2104$⇣⩺⋵$1009$≭($1299$⫳≱↱$1332$)","expression":"⋋%⋟2787⇣⩺⋵⋋%⋟1341≭(⋋%⋟1703⫳≱↱⋋%⋟1740)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":367,"operation_count":3,"complexity_ratio":122.33333333333333,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":2104,"base":9},"right_expr":{"type":"numeric_atoms","value":1009,"base":9}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":1299,"base":9},"right_expr":{"type":"numeric_atoms","value":1332,"base":9}}},"used_operators":["rxpJgHHUmx","F4yD0voBRQ","ZvLB05nZmT"],"dependent_operators":["AHs5Up7iyr","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=2104","layer":2},{"info":"number node, value=1009","layer":2},{"info":"compute binary expreesion, left_input=2104, right_input=1009, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":1},{"info":"number node, value=1299","layer":2},{"info":"number node, value=1332","layer":2},{"info":"compute binary expreesion, left_input=1299, right_input=1332, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":1},{"info":"compute binary expreesion, left_input=-260, right_input=-204, 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":0}],"base":9,"result_base":9,"text":"⋋%⋟2787⇣⩺⋵⋋%⋟1341≭(⋋%⋟1703⫳≱↱⋋%⋟1740)=NaN","reverse_text":"NaN=⋋%⋟2787⇣⩺⋵⋋%⋟1341≭(⋋%⋟1703⫳≱↱⋋%⋟1740)","cot":[{"info":"⋋%⋟2787⇣⩺⋵⋋%⋟1341=⋋%⋟-318","layer":1},{"info":"⋋%⋟1703⫳≱↱⋋%⋟1740=⋋%⋟-246","layer":1},{"info":"⋋%⋟-318≭⋋%⋟-246=NaN","layer":0}]}
+{"id":536,"expression_no_base_symbol":"⪨⨬($2138$⫦⪉$7430$)","expression":"⪨⨬(⋋%⋟2835⫦⪉⋋%⋟11165)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":45,"operation_count":2,"complexity_ratio":22.5,"tree":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":2138,"base":9},"right_expr":{"type":"numeric_atoms","value":7430,"base":9}}},"used_operators":["5obUd6DV38","wscyQdcy20"],"dependent_operators":["T2fj7uvVaJ","nlCqmYiOvY","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf"],"result":"⋋%⋟-644","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2138","layer":2},{"info":"number node, value=7430","layer":2},{"info":"compute binary expreesion, left_input=2138, right_input=7430, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=624","layer":1},{"info":"compute unary expreesion, input=624, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":0}],"base":9,"result_base":9,"text":"⪨⨬(⋋%⋟2835⫦⪉⋋%⋟11165)=⋋%⋟-644","reverse_text":"⋋%⋟-644=⪨⨬(⋋%⋟2835⫦⪉⋋%⋟11165)","cot":[{"info":"⋋%⋟2835⫦⪉⋋%⋟11165=⋋%⋟763","layer":1},{"info":"⪨⨬⋋%⋟763=⋋%⋟-644","layer":0}]}
+{"id":537,"expression_no_base_symbol":"⇐($1346$⩼⇪↪$2824$)","expression":"⇐(⋋%⋟1755⩼⇪↪⋋%⋟3777)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":55,"operation_count":2,"complexity_ratio":27.5,"tree":{"type":"unary","operator":"⇐","unary_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":1346,"base":9},"right_expr":{"type":"numeric_atoms","value":2824,"base":9}}},"used_operators":["nmZMaaE0Q9","ocnLzx9CaJ"],"dependent_operators":["23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q"],"result":"⋋%⋟-6783","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1346","layer":2},{"info":"number node, value=2824","layer":2},{"info":"compute binary expreesion, left_input=1346, right_input=2824, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-17859","layer":1},{"info":"compute unary expreesion, input=-17859, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=-5016","layer":0}],"base":9,"result_base":9,"text":"⇐(⋋%⋟1755⩼⇪↪⋋%⋟3777)=⋋%⋟-6783","reverse_text":"⋋%⋟-6783=⇐(⋋%⋟1755⩼⇪↪⋋%⋟3777)","cot":[{"info":"⋋%⋟1755⩼⇪↪⋋%⋟3777=⋋%⋟-26443","layer":1},{"info":"⇐⋋%⋟-26443=⋋%⋟-6783","layer":0}]}
+{"id":538,"expression_no_base_symbol":"$4688$⪮%⊝$1523$↼⊘⨖(⊬↢$5430$)","expression":"⋋%⋟6378⪮%⊝⋋%⋟2072↼⊘⨖(⊬↢⋋%⋟7403)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5497,"operation_count":3,"complexity_ratio":1832.3333333333333,"tree":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":4688,"base":9},"right_expr":{"type":"numeric_atoms","value":1523,"base":9}},"right_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"numeric_atoms","value":5430,"base":9}}},"used_operators":["bPywburJMS","IWmyXbctLI","WPoGxAaPR1"],"dependent_operators":["9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA"],"result":"⋋%⋟257","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=4688","layer":2},{"info":"number node, value=1523","layer":2},{"info":"compute binary expreesion, left_input=4688, right_input=1523, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=9692","layer":1},{"info":"number node, value=5430","layer":2},{"info":"compute unary expreesion, input=5430, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=218","layer":1},{"info":"compute binary expreesion, left_input=9692, right_input=218, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=214","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟6378⪮%⊝⋋%⋟2072↼⊘⨖(⊬↢⋋%⋟7403)=⋋%⋟257","reverse_text":"⋋%⋟257=⋋%⋟6378⪮%⊝⋋%⋟2072↼⊘⨖(⊬↢⋋%⋟7403)","cot":[{"info":"⋋%⋟6378⪮%⊝⋋%⋟2072=⋋%⋟14258","layer":1},{"info":"⊬↢⋋%⋟7403=⋋%⋟262","layer":1},{"info":"⋋%⋟14258↼⊘⨖⋋%⋟262=⋋%⋟257","layer":0}]}
+{"id":539,"expression_no_base_symbol":"$5275$⪚$2879$⪉⨛($1827$%$5129$)","expression":"⋋%⋟7211⪚⋋%⋟3848⪉⨛(⋋%⋟2450%⋋%⋟7028)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":45,"operation_count":3,"complexity_ratio":15.0,"tree":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":5275,"base":9},"right_expr":{"type":"numeric_atoms","value":2879,"base":9}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1827,"base":9},"right_expr":{"type":"numeric_atoms","value":5129,"base":9}}},"used_operators":["EWw2JM7wp4","HrjLwUk87U","k8jYdgA6NY"],"dependent_operators":["NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","rysDP5nf3Z"],"result":"⋋%⋟17035","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=5275","layer":2},{"info":"number node, value=2879","layer":2},{"info":"compute binary expreesion, left_input=5275, right_input=2879, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=4436","layer":1},{"info":"number node, value=1827","layer":2},{"info":"number node, value=5129","layer":2},{"info":"compute binary expreesion, left_input=1827, right_input=5129, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1827","layer":1},{"info":"compute binary expreesion, left_input=4436, right_input=1827, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=11696","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟7211⪚⋋%⋟3848⪉⨛(⋋%⋟2450%⋋%⋟7028)=⋋%⋟17035","reverse_text":"⋋%⋟17035=⋋%⋟7211⪚⋋%⋟3848⪉⨛(⋋%⋟2450%⋋%⋟7028)","cot":[{"info":"⋋%⋟7211⪚⋋%⋟3848=⋋%⋟6068","layer":1},{"info":"⋋%⋟2450%⋋%⋟7028=⋋%⋟2450","layer":1},{"info":"⋋%⋟6068⪉⨛⋋%⋟2450=⋋%⋟17035","layer":0}]}
+{"id":540,"expression_no_base_symbol":"($1205$∽$7639$)⋣⋖($1468$⨔≚≋$1881$)","expression":"(⋋%⋟1578∽⋋%⋟11427)⋣⋖(⋋%⋟2011⨔≚≋⋋%⋟2520)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":61,"operation_count":3,"complexity_ratio":20.333333333333332,"tree":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":1205,"base":9},"right_expr":{"type":"numeric_atoms","value":7639,"base":9}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":1468,"base":9},"right_expr":{"type":"numeric_atoms","value":1881,"base":9}}},"used_operators":["J0M6qkBnIM","y4ImoPnbV5","Z57zeUYC9z"],"dependent_operators":["VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","NTOWxs364D","QMFrweE19q","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI"],"result":"⋋%⋟-43410","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1205","layer":2},{"info":"number node, value=7639","layer":2},{"info":"compute binary expreesion, left_input=1205, right_input=7639, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-28764","layer":1},{"info":"number node, value=1468","layer":2},{"info":"number node, value=1881","layer":2},{"info":"compute binary expreesion, left_input=1468, right_input=1881, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":1},{"info":"compute binary expreesion, left_input=-28764, right_input=9872, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=-28764","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟1578∽⋋%⋟11427)⋣⋖(⋋%⋟2011⨔≚≋⋋%⋟2520)=⋋%⋟-43410","reverse_text":"⋋%⋟-43410=(⋋%⋟1578∽⋋%⋟11427)⋣⋖(⋋%⋟2011⨔≚≋⋋%⋟2520)","cot":[{"info":"⋋%⋟1578∽⋋%⋟11427=⋋%⋟-43410","layer":1},{"info":"⋋%⋟2011⨔≚≋⋋%⋟2520=⋋%⋟14478","layer":1},{"info":"⋋%⋟-43410⋣⋖⋋%⋟14478=⋋%⋟-43410","layer":0}]}
+{"id":541,"expression_no_base_symbol":"($3072$⊍⩺⋍$2452$)⨽⪊≇","expression":"(⋋%⋟4183⊍⩺⋍⋋%⋟3324)⨽⪊≇","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":216,"operation_count":2,"complexity_ratio":108.0,"tree":{"type":"unary","operator":"⨽⪊≇","unary_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":3072,"base":9},"right_expr":{"type":"numeric_atoms","value":2452,"base":9}}},"used_operators":["nlCqmYiOvY","OXDGMFPWZM"],"dependent_operators":["W4YGzv6Whe","sdazOOVcIp","XIabStNQrY","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=3072","layer":2},{"info":"number node, value=2452","layer":2},{"info":"compute binary expreesion, left_input=3072, right_input=2452, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = nlCqmYiOvY, unary_op_definition = 'a⨽⪊≇ = { ((a⇋≉)⪨≂(a+216)) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟4183⊍⩺⋍⋋%⋟3324)⨽⪊≇=NaN","reverse_text":"NaN=(⋋%⋟4183⊍⩺⋍⋋%⋟3324)⨽⪊≇","cot":[{"info":"⋋%⋟4183⊍⩺⋍⋋%⋟3324=NaN","layer":1},{"info":"NaN⨽⪊≇=NaN","layer":0}]}
+{"id":542,"expression_no_base_symbol":"($1935$⪥⨬⪅)∲⫓$1361$⩨$2570$","expression":"(⋋%⋟2580⪥⨬⪅)∲⫓⋋%⋟1772⩨⋋%⋟3465","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":107,"operation_count":3,"complexity_ratio":35.666666666666664,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⪥⨬⪅","unary_expr":{"type":"numeric_atoms","value":1935,"base":9}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1361,"base":9},"right_expr":{"type":"numeric_atoms","value":2570,"base":9}}},"used_operators":["i8ToyICDmI","zNRQejTB5A","2DlMacCsIx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","d7ASUq0ydm","Uaa54Peajs","3EYGwJThht","y4ImoPnbV5","JwTKLfZU96","rJVOvQCfKK","uWAJUKEvyW","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"⋋%⋟-575","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1935","layer":2},{"info":"compute unary expreesion, input=1935, op_id = zNRQejTB5A, unary_op_definition = 'a⪥⨬⪅ = { (((a⨎1)⊹∫⫚(a⇄a))⫯⪬∳((a∽a)↳≱(∂a))) }', output=-473","layer":1},{"info":"number node, value=1361","layer":2},{"info":"number node, value=2570","layer":2},{"info":"compute binary expreesion, left_input=1361, right_input=2570, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":1},{"info":"compute binary expreesion, left_input=-473, right_input=-3, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-473","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟2580⪥⨬⪅)∲⫓⋋%⋟1772⩨⋋%⋟3465=⋋%⋟-575","reverse_text":"⋋%⋟-575=(⋋%⋟2580⪥⨬⪅)∲⫓⋋%⋟1772⩨⋋%⋟3465","cot":[{"info":"⋋%⋟2580⪥⨬⪅=⋋%⋟-575","layer":1},{"info":"⋋%⋟1772⩨⋋%⋟3465=⋋%⋟-3","layer":1},{"info":"⋋%⋟-575∲⫓⋋%⋟-3=⋋%⋟-575","layer":0}]}
+{"id":543,"expression_no_base_symbol":"($6961$⊋$1033$)↹⊜$4135$⇻⋧≁$2776$","expression":"(⋋%⋟10484⊋⋋%⋟1367)↹⊜⋋%⋟5604⇻⋧≁⋋%⋟3724","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8024,"operation_count":3,"complexity_ratio":2674.6666666666665,"tree":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":6961,"base":9},"right_expr":{"type":"numeric_atoms","value":1033,"base":9}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":4135,"base":9},"right_expr":{"type":"numeric_atoms","value":2776,"base":9}}},"used_operators":["9bazX3JMtO","W4tP9CfskL","jCPkEVoL5K"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe"],"result":"⋋%⋟210104480","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=6961","layer":2},{"info":"number node, value=1033","layer":2},{"info":"compute binary expreesion, left_input=6961, right_input=1033, 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=45468540","layer":1},{"info":"number node, value=4135","layer":2},{"info":"number node, value=2776","layer":2},{"info":"compute binary expreesion, left_input=4135, right_input=2776, 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=45468540, right_input=-447, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=90938772","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟10484⊋⋋%⋟1367)↹⊜⋋%⋟5604⇻⋧≁⋋%⋟3724=⋋%⋟210104480","reverse_text":"⋋%⋟210104480=(⋋%⋟10484⊋⋋%⋟1367)↹⊜⋋%⋟5604⇻⋧≁⋋%⋟3724","cot":[{"info":"⋋%⋟10484⊋⋋%⋟1367=⋋%⋟104501100","layer":1},{"info":"⋋%⋟5604⇻⋧≁⋋%⋟3724=⋋%⋟-546","layer":1},{"info":"⋋%⋟104501100↹⊜⋋%⋟-546=⋋%⋟210104480","layer":0}]}
+{"id":544,"expression_no_base_symbol":"$8110$+⇶⊼$3810$⫚↹⊑$1423$⊋≦⊧$4541$","expression":"⋋%⋟12111+⇶⊼⋋%⋟5203⫚↹⊑⋋%⋟1851⊋≦⊧⋋%⋟6205","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":35,"operation_count":3,"complexity_ratio":11.666666666666666,"tree":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":8110,"base":9},"right_expr":{"type":"numeric_atoms","value":3810,"base":9}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":1423,"base":9},"right_expr":{"type":"numeric_atoms","value":4541,"base":9}}},"used_operators":["dfKe02y8D2","TpPTUOHfaN","oRDoc9rAEX"],"dependent_operators":["2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","AHs5Up7iyr","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC"],"result":"⋋%⋟-546","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=8110","layer":2},{"info":"number node, value=3810","layer":2},{"info":"compute binary expreesion, left_input=8110, right_input=3810, 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=1423","layer":2},{"info":"number node, value=4541","layer":2},{"info":"compute binary expreesion, left_input=1423, right_input=4541, 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=-5724","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-5724, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟12111+⇶⊼⋋%⋟5203⫚↹⊑��%⋟1851⊋≦⊧⋋%⋟6205=⋋%⋟-546","reverse_text":"⋋%⋟-546=⋋%⋟12111+⇶⊼⋋%⋟5203⫚↹⊑⋋%⋟1851⊋≦⊧⋋%⋟6205","cot":[{"info":"⋋%⋟12111+⇶⊼⋋%⋟5203=NaN","layer":1},{"info":"⋋%⋟1851⊋≦⊧⋋%⋟6205=⋋%⋟-7760","layer":1},{"info":"NaN⫚↹⊑⋋%⋟-7760=⋋%⋟-546","layer":0}]}
+{"id":545,"expression_no_base_symbol":"$1430$⊕∕$2866$∛$1601$↹⊜$2280$","expression":"⋋%⋟1858⊕∕⋋%⋟3834∛⋋%⋟2168↹⊜⋋%⋟3113","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":73,"operation_count":3,"complexity_ratio":24.333333333333332,"tree":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":1430,"base":9},"right_expr":{"type":"numeric_atoms","value":2866,"base":9}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":1601,"base":9},"right_expr":{"type":"numeric_atoms","value":2280,"base":9}}},"used_operators":["w2537kitQq","9cloC0Ngie","9bazX3JMtO"],"dependent_operators":["DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd"],"result":"⋋%⋟74","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1430","layer":2},{"info":"number node, value=2866","layer":2},{"info":"compute binary expreesion, left_input=1430, right_input=2866, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=1430","layer":1},{"info":"number node, value=1601","layer":2},{"info":"number node, value=2280","layer":2},{"info":"compute binary expreesion, left_input=1601, right_input=2280, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-6014","layer":1},{"info":"compute binary expreesion, left_input=1430, right_input=-6014, 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":9,"result_base":9,"text":"⋋%⋟1858⊕∕⋋%⋟3834∛⋋%⋟2168↹⊜⋋%⋟3113=⋋%⋟74","reverse_text":"⋋%⋟74=⋋%⋟1858⊕∕⋋%⋟3834∛⋋%⋟2168↹⊜⋋%⋟3113","cot":[{"info":"⋋%⋟1858⊕∕⋋%⋟3834=⋋%⋟1858","layer":1},{"info":"⋋%⋟2168↹⊜⋋%⋟3113=⋋%⋟-8222","layer":1},{"info":"⋋%⋟1858∛⋋%⋟-8222=⋋%⋟74","layer":0}]}
+{"id":546,"expression_no_base_symbol":"($1832$⩨$1711$)⩒⫫$1824$⨪↰⇹$1580$","expression":"(⋋%⋟2455⩨⋋%⋟2311)⩒⫫⋋%⋟2446⨪↰⇹⋋%⋟2145","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1855,"operation_count":3,"complexity_ratio":618.3333333333334,"tree":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1832,"base":9},"right_expr":{"type":"numeric_atoms","value":1711,"base":9}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1824,"base":9},"right_expr":{"type":"numeric_atoms","value":1580,"base":9}}},"used_operators":["KFSx94NKJn","2DlMacCsIx","tmPS8pqC7x"],"dependent_operators":["NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rJVOvQCfKK"],"result":"⋋%⋟-1108","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1832","layer":2},{"info":"number node, value=1711","layer":2},{"info":"compute binary expreesion, left_input=1832, right_input=1711, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":1},{"info":"number node, value=1824","layer":2},{"info":"number node, value=1580","layer":2},{"info":"compute binary expreesion, left_input=1824, right_input=1580, 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=1824","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=1824, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=-818","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟2455⩨⋋%⋟2311)⩒⫫⋋%⋟2446⨪↰⇹⋋%⋟2145=⋋%⋟-1108","reverse_text":"⋋%⋟-1108=(⋋%⋟2455⩨⋋%⋟2311)⩒⫫⋋%⋟2446⨪↰⇹⋋%⋟2145","cot":[{"info":"⋋%⋟2455⩨⋋%⋟2311=⋋%⋟0","layer":1},{"info":"⋋%⋟2446⨪↰⇹⋋%⋟2145=⋋%⋟2446","layer":1},{"info":"⋋%⋟0⩒⫫⋋%⋟2446=⋋%⋟-1108","layer":0}]}
+{"id":547,"expression_no_base_symbol":"$1755$���≀⋏$3975$∛≔","expression":"⋋%⋟2360⪶≀⋏⋋%⋟5406∛≔","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":13796,"operation_count":2,"complexity_ratio":6898.0,"tree":{"type":"unary","operator":"∛≔","unary_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":1755,"base":9},"right_expr":{"type":"numeric_atoms","value":3975,"base":9}}},"used_operators":["mGnSCrte3L","zR4jO40bMj"],"dependent_operators":["d7ASUq0ydm","OKKcZfAt5B","212REbPD9h","gx7XJ7hdpj","nEsXyWgiOK","oWn0xqSxBt","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL"],"result":"⋋%⋟-514687","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1755","layer":2},{"info":"number node, value=3975","layer":2},{"info":"compute binary expreesion, left_input=1755, right_input=3975, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-13447","layer":1},{"info":"compute unary expreesion, input=-13447, op_id = mGnSCrte3L, unary_op_definition = 'a∛≔ = { (((⊙↵-a)⋾⨃∁(a⨻⩈⩔a))≝⊿(a⫸⇳(a⫯⪬∳a))) }', output=-305287","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟2360⪶≀⋏⋋%⋟5406∛≔=⋋%⋟-514687","reverse_text":"⋋%⋟-514687=⋋%⋟2360⪶≀⋏⋋%⋟5406∛≔","cot":[{"info":"⋋%⋟2360⪶≀⋏⋋%⋟5406=⋋%⋟-20401","layer":1},{"info":"⋋%⋟-20401∛≔=⋋%⋟-514687","layer":0}]}
+{"id":548,"expression_no_base_symbol":"($2794$≋⫹)≬⋮(≸≮$2118$)","expression":"(⋋%⋟3744≋⫹)≬⋮(≸≮⋋%⋟2813)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":9932,"operation_count":3,"complexity_ratio":3310.6666666666665,"tree":{"type":"binary","operator":"≬⋮","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":2794,"base":9}},"right_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"numeric_atoms","value":2118,"base":9}}},"used_operators":["kbkesczE7y","N41Kp7NANJ","AljMvE3RRm"],"dependent_operators":["P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2794","layer":2},{"info":"compute unary expreesion, input=2794, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-5588","layer":1},{"info":"number node, value=2118","layer":2},{"info":"compute unary expreesion, input=2118, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-5588, right_input=nan, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟3744≋⫹)≬⋮(≸≮⋋%⋟2813)=NaN","reverse_text":"NaN=(⋋%⋟3744≋⫹)≬⋮(≸≮⋋%⋟2813)","cot":[{"info":"⋋%⋟3744≋⫹=⋋%⋟-7588","layer":1},{"info":"≸≮⋋%⋟2813=NaN","layer":1},{"info":"⋋%⋟-7588≬⋮NaN=NaN","layer":0}]}
+{"id":549,"expression_no_base_symbol":"($1685$≦≮≮)⩦($3659$⫔⩽⩺$8141$)","expression":"(⋋%⋟2272≦≮≮)⩦(⋋%⋟5015⫔⩽⩺⋋%⋟12145)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":50,"operation_count":3,"complexity_ratio":16.666666666666668,"tree":{"type":"binary","operator":"⩦","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":1685,"base":9}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":3659,"base":9},"right_expr":{"type":"numeric_atoms","value":8141,"base":9}}},"used_operators":["0kmYd0q39Y","D4vGDi5EA2","i9eR4S00cU"],"dependent_operators":["N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","Tw270M8GLb","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1685","layer":2},{"info":"compute unary expreesion, input=1685, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-5055","layer":1},{"info":"number node, value=3659","layer":2},{"info":"number node, value=8141","layer":2},{"info":"compute binary expreesion, left_input=3659, right_input=8141, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-5055, right_input=nan, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟2272≦≮≮)⩦(⋋%⋟5015⫔⩽⩺⋋%⋟12145)=NaN","reverse_text":"NaN=(⋋%⋟2272≦≮≮)⩦(⋋%⋟5015⫔⩽⩺⋋%⋟12145)","cot":[{"info":"⋋%⋟2272≦≮≮=⋋%⋟-6836","layer":1},{"info":"⋋%⋟5015⫔⩽⩺⋋%⋟12145=NaN","layer":1},{"info":"⋋%⋟-6836⩦NaN=NaN","layer":0}]}
+{"id":550,"expression_no_base_symbol":"$1467$∪⫐$3367$⪁$2855$⫸⇳$4625$","expression":"⋋%⋟2010∪⫐⋋%⋟4551⪁⋋%⋟3822⫸⇳⋋%⋟6308","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1901,"operation_count":3,"complexity_ratio":633.6666666666666,"tree":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":1467,"base":9},"right_expr":{"type":"numeric_atoms","value":3367,"base":9}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":2855,"base":9},"right_expr":{"type":"numeric_atoms","value":4625,"base":9}}},"used_operators":["I7sXao9hZE","7YooWSwCyH","gx7XJ7hdpj"],"dependent_operators":["dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","rJVOvQCfKK","2DDjHMKMc0","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1467","layer":2},{"info":"number node, value=3367","layer":2},{"info":"compute binary expreesion, left_input=1467, right_input=3367, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=1467","layer":1},{"info":"number node, value=2855","layer":2},{"info":"number node, value=4625","layer":2},{"info":"compute binary expreesion, left_input=2855, right_input=4625, 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=1467, right_input=0, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟2010∪⫐⋋%⋟4551⪁⋋%⋟3822⫸⇳⋋%⋟6308=NaN","reverse_text":"NaN=⋋%⋟2010∪⫐⋋%⋟4551⪁⋋%⋟3822⫸⇳⋋%⋟6308","cot":[{"info":"⋋%⋟2010∪⫐⋋%⋟4551=⋋%⋟2010","layer":1},{"info":"⋋%⋟3822⫸⇳⋋%⋟6308=⋋%⋟0","layer":1},{"info":"⋋%⋟2010⪁⋋%⋟0=NaN","layer":0}]}
+{"id":551,"expression_no_base_symbol":"∑⇻≧($1246$⪠⩆⊳)","expression":"∑⇻≧(⋋%⋟1634⪠⩆⊳)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":8,"operation_count":2,"complexity_ratio":4.0,"tree":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":1246,"base":9}}},"used_operators":["l1M9WJ3V7u","JLbD19bQDL"],"dependent_operators":["23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⋋%⋟-1146","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1246","layer":2},{"info":"compute unary expreesion, input=1246, 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":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":9,"result_base":9,"text":"∑⇻≧(⋋%⋟1634⪠⩆⊳)=⋋%⋟-1146","reverse_text":"⋋%⋟-1146=∑⇻≧(⋋%⋟1634⪠⩆⊳)","cot":[{"info":"⋋%⋟1634⪠⩆⊳=⋋%⋟0","layer":1},{"info":"∑⇻≧⋋%⋟0=⋋%⋟-1146","layer":0}]}
+{"id":552,"expression_no_base_symbol":"$3831$⫦⪉$2008$⪒$2458$⩚⊴⇥$2823$","expression":"⋋%⋟5226⫦⪉⋋%⋟2671⪒⋋%⋟3331⩚⊴⇥⋋%⋟3776","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":29,"operation_count":3,"complexity_ratio":9.666666666666666,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":3831,"base":9},"right_expr":{"type":"numeric_atoms","value":2008,"base":9}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2458,"base":9},"right_expr":{"type":"numeric_atoms","value":2823,"base":9}}},"used_operators":["f6k1SAg4EE","wscyQdcy20","NTOWxs364D"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⋋%⋟12171","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3831","layer":2},{"info":"number node, value=2008","layer":2},{"info":"compute binary expreesion, left_input=3831, right_input=2008, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-2762","layer":1},{"info":"number node, value=2458","layer":2},{"info":"number node, value=2823","layer":2},{"info":"compute binary expreesion, left_input=2458, right_input=2823, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5402","layer":1},{"info":"compute binary expreesion, left_input=-2762, right_input=-5402, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=8164","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟5226⫦⪉⋋%⋟2671⪒⋋%⋟3331⩚⊴⇥⋋%⋟3776=⋋%⋟12171","reverse_text":"⋋%⋟12171=⋋%⋟5226⫦⪉⋋%⋟2671⪒⋋%⋟3331⩚⊴⇥⋋%⋟3776","cot":[{"info":"⋋%⋟5226⫦⪉⋋%⋟2671=⋋%⋟-3708","layer":1},{"info":"⋋%⋟3331⩚⊴⇥⋋%⋟3776=⋋%⋟-7362","layer":1},{"info":"⋋%⋟-3708⪒⋋%⋟-7362=⋋%⋟12171","layer":0}]}
+{"id":553,"expression_no_base_symbol":"$4007$≁$1245$↳≱(∤↝$2079$)","expression":"⋋%⋟5442≁⋋%⋟1633↳≱(∤↝⋋%⋟2760)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":155,"operation_count":3,"complexity_ratio":51.666666666666664,"tree":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":4007,"base":9},"right_expr":{"type":"numeric_atoms","value":1245,"base":9}},"right_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"numeric_atoms","value":2079,"base":9}}},"used_operators":["JwTKLfZU96","8N2wDY1A35","3UMq87Qwqg"],"dependent_operators":["DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL"],"result":"⋋%⋟0","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=4007","layer":2},{"info":"number node, value=1245","layer":2},{"info":"compute binary expreesion, left_input=4007, right_input=1245, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=16679","layer":1},{"info":"number node, value=2079","layer":2},{"info":"compute unary expreesion, input=2079, 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=2079","layer":1},{"info":"compute binary expreesion, left_input=16679, right_input=2079, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟5442≁⋋%⋟1633↳≱(∤↝⋋%⋟2760)=⋋%⋟0","reverse_text":"⋋%⋟0=⋋%⋟5442≁⋋%⋟1633↳≱(∤↝⋋%⋟2760)","cot":[{"info":"⋋%⋟5442≁⋋%⋟1633=⋋%⋟24782","layer":1},{"info":"∤↝⋋%⋟2760=⋋%⋟2760","layer":1},{"info":"⋋%⋟24782↳≱⋋%⋟2760=⋋%⋟0","layer":0}]}
+{"id":554,"expression_no_base_symbol":"⨈⫕$2443$⋓$8668$","expression":"⨈⫕⋋%⋟3314⋓⋋%⋟12801","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":399,"operation_count":2,"complexity_ratio":199.5,"tree":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2443,"base":9},"right_expr":{"type":"numeric_atoms","value":8668,"base":9}}},"used_operators":["megm06wKyl","T2fj7uvVaJ"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"⋋%⋟-23","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2443","layer":2},{"info":"number node, value=8668","layer":2},{"info":"compute binary expreesion, left_input=2443, right_input=8668, 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 = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":0}],"base":9,"result_base":9,"text":"⨈⫕⋋%⋟3314⋓⋋%⋟12801=⋋%⋟-23","reverse_text":"⋋%⋟-23=⨈⫕⋋%⋟3314⋓⋋%⋟12801","cot":[{"info":"⋋%⋟3314⋓⋋%⋟12801=⋋%⋟0","layer":1},{"info":"⨈⫕⋋%⋟0=⋋%⋟-23","layer":0}]}
+{"id":555,"expression_no_base_symbol":"↥≼⋛($2987$∖$1530$)","expression":"↥≼⋛(⋋%⋟4078∖⋋%⋟2080)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":314,"operation_count":2,"complexity_ratio":157.0,"tree":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":2987,"base":9},"right_expr":{"type":"numeric_atoms","value":1530,"base":9}}},"used_operators":["x5lMkHmzsq","tXD093vOjl"],"dependent_operators":["eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC"],"result":"⋋%⋟36","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2987","layer":2},{"info":"number node, value=1530","layer":2},{"info":"compute binary expreesion, left_input=2987, right_input=1530, 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 = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=33","layer":0}],"base":9,"result_base":9,"text":"↥≼⋛(⋋%⋟4078∖⋋%⋟2080)=⋋%⋟36","reverse_text":"⋋%⋟36=↥≼⋛(⋋%⋟4078∖⋋%⋟2080)","cot":[{"info":"⋋%⋟4078∖⋋%⋟2080=⋋%⋟0","layer":1},{"info":"↥≼⋛⋋%⋟0=⋋%⋟36","layer":0}]}
+{"id":556,"expression_no_base_symbol":"$2278$↹⊜$2386$∝$2864$⪔$1226$","expression":"⋋%⋟3111↹⊜⋋%⋟3241∝⋋%⋟3832⪔⋋%⋟1612","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1354,"operation_count":3,"complexity_ratio":451.3333333333333,"tree":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":2278,"base":9},"right_expr":{"type":"numeric_atoms","value":2386,"base":9}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":2864,"base":9},"right_expr":{"type":"numeric_atoms","value":1226,"base":9}}},"used_operators":["cTDWOvIxvz","9bazX3JMtO","GjBEYRfMaF"],"dependent_operators":["7j4O788W3g","W4YGzv6Whe","COABgblf1C","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi"],"result":"⋋%⋟-6863","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2278","layer":2},{"info":"number node, value=2386","layer":2},{"info":"compute binary expreesion, left_input=2278, right_input=2386, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-5084","layer":1},{"info":"number node, value=2864","layer":2},{"info":"number node, value=1226","layer":2},{"info":"compute binary expreesion, left_input=2864, right_input=1226, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":1},{"info":"compute binary expreesion, left_input=-5084, right_input=450, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=-5079","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟3111↹⊜⋋%⋟3241∝⋋%⋟3832⪔⋋%⋟1612=⋋%⋟-6863","reverse_text":"⋋%⋟-6863=⋋%⋟3111↹⊜⋋%⋟3241∝⋋%⋟3832⪔⋋%⋟1612","cot":[{"info":"⋋%⋟3111↹⊜⋋%⋟3241=⋋%⋟-6868","layer":1},{"info":"⋋%⋟3832⪔⋋%⋟1612=⋋%⋟550","layer":1},{"info":"⋋%⋟-6868∝⋋%⋟550=⋋%⋟-6863","layer":0}]}
+{"id":557,"expression_no_base_symbol":"($2893$≚⊃≕$3429$)⨘⋶⪀","expression":"(⋋%⋟3864≚⊃≕⋋%⋟4630)⨘⋶⪀","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4832,"operation_count":2,"complexity_ratio":2416.0,"tree":{"type":"unary","operator":"⨘⋶⪀","unary_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":2893,"base":9},"right_expr":{"type":"numeric_atoms","value":3429,"base":9}}},"used_operators":["XVKwrhznBb","Bmrmz2XGnR"],"dependent_operators":["TpPTUOHfaN","FyVja0WsTP","UqFzSgLMvQ","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=2893","layer":2},{"info":"number node, value=3429","layer":2},{"info":"compute binary expreesion, left_input=2893, right_input=3429, 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 = XVKwrhznBb, unary_op_definition = 'a⨘⋶⪀ = { ((326+⇶⊼a)⊱⇼⊻(a⇡)) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟3864≚⊃≕⋋%⋟4630)⨘⋶⪀=NaN","reverse_text":"NaN=(⋋%⋟3864≚⊃≕⋋%⋟4630)⨘⋶⪀","cot":[{"info":"⋋%⋟3864≚⊃≕⋋%⋟4630=⋋%⋟74","layer":1},{"info":"⋋%⋟74⨘⋶⪀=NaN","layer":0}]}
+{"id":558,"expression_no_base_symbol":"$2736$⊝⪿⪼$1864$≧⫂∧($4968$∷$1508$)","expression":"⋋%⋟3670⊝⪿⪼⋋%⋟2501≧⫂∧(⋋%��6730∷⋋%⋟2055)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":27,"operation_count":3,"complexity_ratio":9.0,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":2736,"base":9},"right_expr":{"type":"numeric_atoms","value":1864,"base":9}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":4968,"base":9},"right_expr":{"type":"numeric_atoms","value":1508,"base":9}}},"used_operators":["Ph9nP6C5qx","3Oe9XWJUTD","D3AQDKkPcf"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","9FxExcQeMw","NTOWxs364D","7j4O788W3g"],"result":"⋋%⋟1370","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2736","layer":2},{"info":"number node, value=1864","layer":2},{"info":"compute binary expreesion, left_input=2736, right_input=1864, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=41684","layer":1},{"info":"number node, value=4968","layer":2},{"info":"number node, value=1508","layer":2},{"info":"compute binary expreesion, left_input=4968, right_input=1508, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=1508","layer":1},{"info":"compute binary expreesion, left_input=41684, right_input=1508, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1035","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟3670⊝⪿⪼⋋%⋟2501≧⫂∧(⋋%⋟6730∷⋋%⋟2055)=⋋%⋟1370","reverse_text":"⋋%⋟1370=⋋%⋟3670⊝⪿⪼⋋%⋟2501≧⫂∧(⋋%⋟6730∷⋋%⋟2055)","cot":[{"info":"⋋%⋟3670⊝⪿⪼⋋%⋟2501=⋋%⋟63155","layer":1},{"info":"⋋%⋟6730∷⋋%⋟2055=⋋%⋟2055","layer":1},{"info":"⋋%⋟63155≧⫂∧⋋%⋟2055=⋋%⋟1370","layer":0}]}
+{"id":559,"expression_no_base_symbol":"(⊬↢$3066$)⨑≵⋬($5078$∽$4731$)","expression":"(⊬↢⋋%⋟4176)⨑≵⋬(⋋%⋟6862∽⋋%⋟6436)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3148,"operation_count":3,"complexity_ratio":1049.3333333333333,"tree":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"numeric_atoms","value":3066,"base":9}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":5078,"base":9},"right_expr":{"type":"numeric_atoms","value":4731,"base":9}}},"used_operators":["XnXgA4xnOs","WPoGxAaPR1","y4ImoPnbV5"],"dependent_operators":["eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","NTOWxs364D","QMFrweE19q"],"result":"⋋%⋟605250","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3066","layer":2},{"info":"compute unary expreesion, input=3066, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=218","layer":1},{"info":"number node, value=5078","layer":2},{"info":"number node, value=4731","layer":2},{"info":"compute binary expreesion, left_input=5078, right_input=4731, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-39405","layer":1},{"info":"compute binary expreesion, left_input=218, right_input=-39405, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=358146","layer":0}],"base":9,"result_base":9,"text":"(⊬↢⋋%⋟4176)⨑≵⋬(⋋%⋟6862∽⋋%⋟6436)=⋋%⋟605250","reverse_text":"⋋%⋟605250=(⊬↢⋋%⋟4176)⨑≵⋬(⋋%⋟6862∽⋋%⋟6436)","cot":[{"info":"⊬↢⋋%⋟4176=⋋%⋟262","layer":1},{"info":"⋋%⋟6862∽⋋%⋟6436=⋋%⋟-60043","layer":1},{"info":"⋋%⋟262⨑≵⋬⋋%⋟-60043=⋋%⋟605250","layer":0}]}
+{"id":560,"expression_no_base_symbol":"(≑⋹$1001$)≁↽≥(↥$3039$)","expression":"(≑⋹⋋%⋟1332)≁↽≥(↥⋋%⋟4146)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":221,"operation_count":3,"complexity_ratio":73.66666666666667,"tree":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"numeric_atoms","value":1001,"base":9}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":3039,"base":9}}},"used_operators":["ncHt1X6cMc","6B9nyZLogK","A8NUZmVepG"],"dependent_operators":["oWn0xqSxBt","3Oe9XWJUTD","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","k8jYdgA6NY"],"result":"⋋%⋟0","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1001","layer":2},{"info":"compute unary expreesion, input=1001, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=1650","layer":1},{"info":"number node, value=3039","layer":2},{"info":"compute unary expreesion, input=3039, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=30","layer":1},{"info":"compute binary expreesion, left_input=1650, right_input=30, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=0","layer":0}],"base":9,"result_base":9,"text":"(≑⋹⋋%⋟1332)≁↽≥(↥⋋%⋟4146)=⋋%⋟0","reverse_text":"⋋%⋟0=(≑⋹⋋%⋟1332)≁↽≥(↥⋋%⋟4146)","cot":[{"info":"≑⋹⋋%⋟1332=⋋%⋟2233","layer":1},{"info":"↥⋋%⋟4146=⋋%⋟33","layer":1},{"info":"⋋%⋟2233≁↽≥⋋%⋟33=⋋%⋟0","layer":0}]}
+{"id":561,"expression_no_base_symbol":"$1346$≁↽≥$2765$⨔≚≋$1616$⊋$1941$","expression":"⋋%⋟1755≁↽≥⋋%⋟3712⨔≚≋⋋%⋟2185⊋⋋%⋟2586","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":665,"operation_count":3,"complexity_ratio":221.66666666666666,"tree":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":1346,"base":9},"right_expr":{"type":"numeric_atoms","value":2765,"base":9}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":1616,"base":9},"right_expr":{"type":"numeric_atoms","value":1941,"base":9}}},"used_operators":["Z57zeUYC9z","ncHt1X6cMc","W4tP9CfskL"],"dependent_operators":["zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","oWn0xqSxBt","3Oe9XWJUTD","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu"],"result":"⋋%⋟14478","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1346","layer":2},{"info":"number node, value=2765","layer":2},{"info":"compute binary expreesion, left_input=1346, right_input=2765, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=30122","layer":1},{"info":"number node, value=1616","layer":2},{"info":"number node, value=1941","layer":2},{"info":"compute binary expreesion, left_input=1616, right_input=1941, 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=-4256824","layer":1},{"info":"compute binary expreesion, left_input=30122, right_input=-4256824, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟1755≁↽≥⋋%⋟3712⨔≚≋⋋%⋟2185⊋⋋%⋟2586=⋋%⋟14478","reverse_text":"⋋%⋟14478=⋋%⋟1755≁↽≥⋋%⋟3712⨔≚≋⋋%⋟2185⊋⋋%⋟2586","cot":[{"info":"⋋%⋟1755≁↽≥⋋%⋟3712=⋋%⋟45278","layer":1},{"info":"⋋%⋟2185⊋⋋%⋟2586=⋋%⋟-8007234","layer":1},{"info":"⋋%⋟45278⨔≚≋⋋%⋟-8007234=⋋%⋟14478","layer":0}]}
+{"id":562,"expression_no_base_symbol":"($2951$⫔⩽⩺$4858$)⨹","expression":"(⋋%⋟4038⫔⩽⩺⋋%⋟6587)⨹","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3242,"operation_count":2,"complexity_ratio":1621.0,"tree":{"type":"unary","operator":"⨹","unary_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":2951,"base":9},"right_expr":{"type":"numeric_atoms","value":4858,"base":9}}},"used_operators":["UnCoSGIALn","i9eR4S00cU"],"dependent_operators":["mp7IySMOzn","Tw270M8GLb","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=2951","layer":2},{"info":"number node, value=4858","layer":2},{"info":"compute binary expreesion, left_input=2951, right_input=4858, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = UnCoSGIALn, unary_op_definition = 'a⨹ = { (229⇷a) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟4038⫔⩽⩺⋋%⋟6587)⨹=NaN","reverse_text":"NaN=(⋋%⋟4038⫔⩽⩺⋋%⋟6587)⨹","cot":[{"info":"⋋%⋟4038⫔⩽⩺⋋%⋟6587=NaN","layer":1},{"info":"NaN⨹=NaN","layer":0}]}
+{"id":563,"expression_no_base_symbol":"$1506$≥⨤⩑$2458$↺(∮$1582$)","expression":"⋋%⋟2053≥⨤⩑⋋%⋟3331↺(∮⋋%⋟2147)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":319,"operation_count":3,"complexity_ratio":106.33333333333333,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":1506,"base":9},"right_expr":{"type":"numeric_atoms","value":2458,"base":9}},"right_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"numeric_atoms","value":1582,"base":9}}},"used_operators":["7j4O788W3g","gJLn6v0xnP","CqXKPLVYql"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL"],"result":"⋋%⋟74","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1506","layer":2},{"info":"number node, value=2458","layer":2},{"info":"compute binary expreesion, left_input=1506, right_input=2458, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":1},{"info":"number node, value=1582","layer":2},{"info":"compute unary expreesion, input=1582, 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":1},{"info":"compute binary expreesion, left_input=1234, right_input=67, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=67","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟2053≥⨤⩑⋋%⋟3331↺(∮⋋%⋟2147)=⋋%⋟74","reverse_text":"⋋%⋟74=⋋%⋟2053≥⨤⩑⋋%⋟3331↺(∮⋋%⋟2147)","cot":[{"info":"⋋%⋟2053≥⨤⩑⋋%⋟3331=⋋%⋟1621","layer":1},{"info":"∮⋋%⋟2147=⋋%⋟74","layer":1},{"info":"⋋%⋟1621↺⋋%⋟74=⋋%⋟74","layer":0}]}
+{"id":564,"expression_no_base_symbol":"⊽($1198$⇞)","expression":"⊽(⋋%⋟1571⇞)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":24,"operation_count":2,"complexity_ratio":12.0,"tree":{"type":"unary","operator":"⊽","unary_expr":{"type":"unary","operator":"⇞","unary_expr":{"type":"numeric_atoms","value":1198,"base":9}}},"used_operators":["QxG7OkqoLX","5JYyxRJd4f"],"dependent_operators":["g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","9FxExcQeMw","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","QMFrweE19q"],"result":"⋋%⋟15886","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1198","layer":2},{"info":"compute unary expreesion, input=1198, op_id = 5JYyxRJd4f, unary_op_definition = 'a⇞ = { (a≧⫂∧((a⩷∴a)⨸⪁(a-a))) , if a<7 ; ((⨞⊢(a∲⫓a))⫡⨏(a⊉≛↸(a⇼⇔∾a))) , else }', output=4705","layer":1},{"info":"compute unary expreesion, input=4705, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=10932","layer":0}],"base":9,"result_base":9,"text":"⊽(⋋%⋟1571⇞)=⋋%⋟15886","reverse_text":"⋋%⋟15886=⊽(⋋%⋟1571⇞)","cot":[{"info":"⋋%⋟1571⇞=⋋%⋟6407","layer":1},{"info":"⊽⋋%⋟6407=⋋%⋟15886","layer":0}]}
+{"id":565,"expression_no_base_symbol":"$1545$⪨⊡$1003$⊿∆","expression":"⋋%⋟2106⪨⊡⋋%⋟1334⊿∆","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":15,"operation_count":2,"complexity_ratio":7.5,"tree":{"type":"unary","operator":"⊿∆","unary_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":1545,"base":9},"right_expr":{"type":"numeric_atoms","value":1003,"base":9}}},"used_operators":["fv3ZujxkQL","kuIXHzHcAH"],"dependent_operators":["NTOWxs364D","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP"],"result":"⋋%⋟-144","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1545","layer":2},{"info":"number node, value=1003","layer":2},{"info":"compute binary expreesion, left_input=1545, right_input=1003, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = fv3ZujxkQL, unary_op_definition = 'a⊿∆ = { (a⩚⊴⇥a) }', output=-121","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟2106⪨⊡⋋%⋟1334⊿∆=⋋%⋟-144","reverse_text":"⋋%⋟-144=⋋%⋟2106⪨⊡⋋%⋟1334⊿∆","cot":[{"info":"⋋%⋟2106⪨⊡⋋%⋟1334=⋋%⋟0","layer":1},{"info":"⋋%⋟0⊿∆=⋋%⋟-144","layer":0}]}
+{"id":566,"expression_no_base_symbol":"⇐(⨑⩽⪐$1611$)","expression":"⇐(⨑⩽⪐⋋%⋟2180)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":47,"operation_count":2,"complexity_ratio":23.5,"tree":{"type":"unary","operator":"⇐","unary_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1611,"base":9}}},"used_operators":["nmZMaaE0Q9","AF7qkfDlqP"],"dependent_operators":["23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"⋋%⋟-6783","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1611","layer":2},{"info":"compute unary expreesion, input=1611, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1338","layer":1},{"info":"compute unary expreesion, input=-1338, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=-5016","layer":0}],"base":9,"result_base":9,"text":"⇐(⨑⩽⪐⋋%⋟2180)=⋋%⋟-6783","reverse_text":"⋋%⋟-6783=⇐(⨑⩽⪐⋋%⋟2180)","cot":[{"info":"⨑⩽⪐⋋%⋟2180=⋋%⋟-1746","layer":1},{"info":"⇐⋋%⋟-1746=⋋%⋟-6783","layer":0}]}
+{"id":567,"expression_no_base_symbol":"(∂⩏⊆$2439$)∑⇟⊟(↯⪼$4067$)","expression":"(∂⩏⊆⋋%⋟3310)∑⇟⊟(↯⪼⋋%⋟5518)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2677,"operation_count":3,"complexity_ratio":892.3333333333334,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"numeric_atoms","value":2439,"base":9}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":4067,"base":9}}},"used_operators":["U7g4x0WXJJ","8WDwsbhb0R","8jW3W4yZS5"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","14qkJME0vr","eLAdDNolq6","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2439","layer":2},{"info":"compute unary expreesion, input=2439, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-7396","layer":1},{"info":"number node, value=4067","layer":2},{"info":"compute unary expreesion, input=4067, 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=-7396, right_input=-21, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(∂⩏⊆⋋%⋟3310)∑⇟⊟(↯⪼⋋%⋟5518)=NaN","reverse_text":"NaN=(∂⩏⊆⋋%⋟3310)∑⇟⊟(↯⪼⋋%⋟5518)","cot":[{"info":"∂⩏⊆⋋%⋟3310=⋋%⋟-11127","layer":1},{"info":"↯⪼⋋%⋟5518=⋋%⋟-23","layer":1},{"info":"⋋%⋟-11127∑⇟⊟⋋%⋟-23=NaN","layer":0}]}
+{"id":568,"expression_no_base_symbol":"(≻⋜$4499$)⋣⋖$1005$⪮%⊝$1671$","expression":"(≻⋜⋋%⋟6148)⋣⋖⋋%⋟1336⪮%⊝⋋%⋟2256","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":21697,"operation_count":3,"complexity_ratio":7232.333333333333,"tree":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"numeric_atoms","value":4499,"base":9}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1005,"base":9},"right_expr":{"type":"numeric_atoms","value":1671,"base":9}}},"used_operators":["J0M6qkBnIM","3tj9sqzovi","IWmyXbctLI"],"dependent_operators":["VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=4499","layer":2},{"info":"compute unary expreesion, input=4499, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":1},{"info":"number node, value=1005","layer":2},{"info":"number node, value=1671","layer":2},{"info":"compute binary expreesion, left_input=1005, right_input=1671, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2326","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2326, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(≻⋜⋋%⋟6148)⋣⋖⋋%⋟1336⪮%⊝⋋%⋟2256=NaN","reverse_text":"NaN=(≻⋜⋋%⋟6148)⋣⋖⋋%⋟1336⪮%⊝⋋%⋟2256","cot":[{"info":"≻⋜⋋%⋟6148=NaN","layer":1},{"info":"⋋%⋟1336⪮%⊝⋋%⋟2256=⋋%⋟3164","layer":1},{"info":"NaN⋣⋖⋋%⋟3164=NaN","layer":0}]}
+{"id":569,"expression_no_base_symbol":"(⇜⊴$3131$)∘($2832$⇣⩺⋵$1236$)","expression":"(⇜⊴⋋%⋟4258)∘(⋋%⋟3786⇣⩺⋵⋋%⋟1623)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":136,"operation_count":3,"complexity_ratio":45.333333333333336,"tree":{"type":"binary","operator":"∘","left_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"numeric_atoms","value":3131,"base":9}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":2832,"base":9},"right_expr":{"type":"numeric_atoms","value":1236,"base":9}}},"used_operators":["Z5m6OM72h2","XwDhCwWbUn","F4yD0voBRQ"],"dependent_operators":["eH2TOUuTDT","rysDP5nf3Z","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx"],"result":"⋋%⋟1325272","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3131","layer":2},{"info":"compute unary expreesion, input=3131, 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=-725202","layer":1},{"info":"number node, value=2832","layer":2},{"info":"number node, value=1236","layer":2},{"info":"compute binary expreesion, left_input=2832, right_input=1236, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":1},{"info":"compute binary expreesion, left_input=-725202, right_input=-260, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=725582","layer":0}],"base":9,"result_base":9,"text":"(⇜⊴⋋%⋟4258)∘(⋋%⋟3786⇣⩺⋵⋋%⋟1623)=⋋%⋟1325272","reverse_text":"⋋%⋟1325272=(⇜⊴⋋%⋟4258)∘(⋋%⋟3786⇣⩺⋵⋋%⋟1623)","cot":[{"info":"⇜⊴⋋%⋟4258=⋋%⋟-1324710","layer":1},{"info":"⋋%⋟3786⇣⩺⋵⋋%⋟1623=⋋%⋟-318","layer":1},{"info":"⋋%⋟-1324710∘⋋%⋟-318=⋋%⋟1325272","layer":0}]}
+{"id":570,"expression_no_base_symbol":"⨦⪝($2363$⨑⩅≇$6169$)","expression":"⨦⪝(⋋%⋟3215⨑⩅≇⋋%⋟8414)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":6252,"operation_count":2,"complexity_ratio":3126.0,"tree":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":2363,"base":9},"right_expr":{"type":"numeric_atoms","value":6169,"base":9}}},"used_operators":["SUjycxNXIR","h92wMvzauj"],"dependent_operators":["V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq"],"result":"⋋%⋟-2523","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2363","layer":2},{"info":"number node, value=6169","layer":2},{"info":"compute binary expreesion, left_input=2363, right_input=6169, 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=-7089","layer":1},{"info":"compute unary expreesion, input=-7089, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":0}],"base":9,"result_base":9,"text":"⨦⪝(⋋%⋟3215⨑⩅≇⋋%⋟8414)=⋋%⋟-2523","reverse_text":"⋋%⋟-2523=⨦⪝(⋋%⋟3215⨑⩅≇⋋%⋟8414)","cot":[{"info":"⋋%⋟3215⨑⩅≇⋋%⋟8414=⋋%⋟-10646","layer":1},{"info":"⨦⪝⋋%⋟-10646=⋋%⋟-2523","layer":0}]}
+{"id":571,"expression_no_base_symbol":"(⋣$3744$)⨻⩈⩔($4035$≧⫂∧$1139$)","expression":"(⋣⋋%⋟5120)⨻⩈⩔(⋋%⋟5473≧⫂∧⋋%⋟1505)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":263,"operation_count":3,"complexity_ratio":87.66666666666667,"tree":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"numeric_atoms","value":3744,"base":9}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":4035,"base":9},"right_expr":{"type":"numeric_atoms","value":1139,"base":9}}},"used_operators":["nEsXyWgiOK","zQWRhDnn8F","Ph9nP6C5qx"],"dependent_operators":["D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","rysDP5nf3Z","t8gj7n24qd"],"result":"⋋%⋟-213","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3744","layer":2},{"info":"compute unary expreesion, input=3744, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-1100641","layer":1},{"info":"number node, value=4035","layer":2},{"info":"number node, value=1139","layer":2},{"info":"compute binary expreesion, left_input=4035, right_input=1139, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=666","layer":1},{"info":"compute binary expreesion, left_input=-1100641, right_input=666, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":0}],"base":9,"result_base":9,"text":"(⋣⋋%⋟5120)⨻⩈⩔(⋋%⋟5473≧⫂∧⋋%⋟1505)=⋋%⋟-213","reverse_text":"⋋%⋟-213=(⋣⋋%⋟5120)⨻⩈⩔(⋋%⋟5473≧⫂∧⋋%⋟1505)","cot":[{"info":"⋣⋋%⋟5120=⋋%⋟-2056714","layer":1},{"info":"⋋%⋟5473≧⫂∧⋋%⋟1505=⋋%⋟820","layer":1},{"info":"⋋%⋟-2056714⨻⩈⩔⋋%⋟820=⋋%⋟-213","layer":0}]}
+{"id":572,"expression_no_base_symbol":"$5256$∊∟⩊$1807$⩢≌","expression":"⋋%⋟7180∊∟⩊⋋%⋟2427⩢≌","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":233,"operation_count":2,"complexity_ratio":116.5,"tree":{"type":"unary","operator":"⩢≌","unary_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":5256,"base":9},"right_expr":{"type":"numeric_atoms","value":1807,"base":9}}},"used_operators":["D617RFjZIq","ddLRYrp01A"],"dependent_operators":["hTbEZDJLEm","o20kRiQErp","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU"],"result":"⋋%⋟135","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=5256","layer":2},{"info":"number node, value=1807","layer":2},{"info":"compute binary expreesion, left_input=5256, right_input=1807, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=1807","layer":1},{"info":"compute unary expreesion, input=1807, op_id = D617RFjZIq, unary_op_definition = 'a⩢≌ = { ((a∸)∟) }', output=113","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟7180∊∟⩊⋋%⋟2427⩢≌=⋋%⋟135","reverse_text":"⋋%⋟135=⋋%⋟7180∊∟⩊⋋%⋟2427⩢≌","cot":[{"info":"⋋%⋟7180∊∟⩊⋋%⋟2427=⋋%⋟2427","layer":1},{"info":"⋋%⋟2427⩢≌=⋋%⋟135","layer":0}]}
+{"id":573,"expression_no_base_symbol":"($4105$⪡$2384$)⊎←↗","expression":"(⋋%⋟5561⪡⋋%⋟3238)⊎←↗","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":25,"operation_count":2,"complexity_ratio":12.5,"tree":{"type":"unary","operator":"⊎←↗","unary_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":4105,"base":9},"right_expr":{"type":"numeric_atoms","value":2384,"base":9}}},"used_operators":["dwb5p0fa6d","oraRL2iQuh"],"dependent_operators":["sdazOOVcIp","COABgblf1C","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R"],"result":"⋋%⋟573","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=4105","layer":2},{"info":"number node, value=2384","layer":2},{"info":"compute binary expreesion, left_input=4105, right_input=2384, 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 = dwb5p0fa6d, unary_op_definition = 'a⊎←↗ = { (a⊭↱340) , if (a⪨≂940)!=203 ; (a⊭↱a) , else }', output=471","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟5561⪡⋋%⋟3238)⊎←↗=⋋%⋟573","reverse_text":"⋋%⋟573=(⋋%⋟5561⪡⋋%⋟3238)⊎←↗","cot":[{"info":"⋋%⋟5561⪡⋋%⋟3238=⋋%⋟128","layer":1},{"info":"⋋%⋟128⊎←↗=⋋%⋟573","layer":0}]}
+{"id":574,"expression_no_base_symbol":"($1065$∼$2142$)⇂≾⫗($4024$⪟⇏$2828$)","expression":"(⋋%⋟1413∼⋋%⋟2840)⇂≾⫗(⋋%⋟5461⪟⇏⋋%⋟3782)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":108,"operation_count":3,"complexity_ratio":36.0,"tree":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1065,"base":9},"right_expr":{"type":"numeric_atoms","value":2142,"base":9}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":4024,"base":9},"right_expr":{"type":"numeric_atoms","value":2828,"base":9}}},"used_operators":["aBQ6xLxuTc","DyGG3AbaNP","GODebY97qR"],"dependent_operators":["g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1065","layer":2},{"info":"number node, value=2142","layer":2},{"info":"compute binary expreesion, left_input=1065, right_input=2142, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":1},{"info":"number node, value=4024","layer":2},{"info":"number node, value=2828","layer":2},{"info":"compute binary expreesion, left_input=4024, right_input=2828, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟1413∼⋋%⋟2840)⇂≾⫗(⋋%⋟5461⪟⇏⋋%⋟3782)=NaN","reverse_text":"NaN=(⋋%⋟1413∼⋋%⋟2840)⇂≾⫗(⋋%⋟5461⪟⇏⋋%⋟3782)","cot":[{"info":"⋋%⋟1413∼⋋%⋟2840=NaN","layer":1},{"info":"⋋%⋟5461⪟⇏⋋%⋟3782=⋋%⋟-1","layer":1},{"info":"NaN⇂≾⫗⋋%⋟-1=NaN","layer":0}]}
+{"id":575,"expression_no_base_symbol":"($2080$⊍⩺⋍$5446$)≳⇉(⫟$3973$)","expression":"(⋋%⋟2761⊍⩺⋍⋋%⋟7421)≳⇉(⫟⋋%⋟5404)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":11488,"operation_count":3,"complexity_ratio":3829.3333333333335,"tree":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":2080,"base":9},"right_expr":{"type":"numeric_atoms","value":5446,"base":9}},"right_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"numeric_atoms","value":3973,"base":9}}},"used_operators":["V0kx6qeWkN","OXDGMFPWZM","z4E1FaHLuy"],"dependent_operators":["KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2080","layer":2},{"info":"number node, value=5446","layer":2},{"info":"compute binary expreesion, left_input=2080, right_input=5446, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":1},{"info":"number node, value=3973","layer":2},{"info":"compute unary expreesion, input=3973, 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=-11012","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-11012, 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":9,"result_base":9,"text":"(⋋%⋟2761⊍⩺⋍⋋%⋟7421)≳⇉(⫟⋋%⋟5404)=NaN","reverse_text":"NaN=(⋋%⋟2761⊍⩺⋍⋋%⋟7421)≳⇉(⫟⋋%⋟5404)","cot":[{"info":"⋋%⋟2761⊍⩺⋍⋋%⋟7421=NaN","layer":1},{"info":"⫟⋋%⋟5404=⋋%⋟-16085","layer":1},{"info":"NaN≳⇉⋋%⋟-16085=NaN","layer":0}]}
+{"id":576,"expression_no_base_symbol":"($1555$⫸⊐$3189$)⪮%⊝$1269$⇍⊗$1179$","expression":"(⋋%⋟2117⫸⊐⋋%⋟4333)⪮%⊝⋋%⋟1660⇍⊗⋋%⋟1550","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":73,"operation_count":3,"complexity_ratio":24.333333333333332,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1555,"base":9},"right_expr":{"type":"numeric_atoms","value":3189,"base":9}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":1269,"base":9},"right_expr":{"type":"numeric_atoms","value":1179,"base":9}}},"used_operators":["IWmyXbctLI","mqXw5SEYmG","5uvYHDjeKN"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o"],"result":"⋋%⋟38070","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1555","layer":2},{"info":"number node, value=3189","layer":2},{"info":"compute binary expreesion, left_input=1555, right_input=3189, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=12631","layer":1},{"info":"number node, value=1269","layer":2},{"info":"number node, value=1179","layer":2},{"info":"compute binary expreesion, left_input=1269, right_input=1179, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":1},{"info":"compute binary expreesion, left_input=12631, right_input=-244, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=25578","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟2117⫸⊐⋋%⋟4333)⪮%⊝⋋%⋟1660⇍⊗⋋%⋟1550=⋋%⋟38070","reverse_text":"⋋%⋟38070=(⋋%⋟2117⫸⊐⋋%⋟4333)⪮%⊝⋋%⋟1660⇍⊗⋋%⋟1550","cot":[{"info":"⋋%⋟2117⫸⊐⋋%⋟4333=⋋%⋟18284","layer":1},{"info":"⋋%⋟1660⇍⊗⋋%⋟1550=⋋%⋟-301","layer":1},{"info":"⋋%⋟18284⪮%⊝⋋%⋟-301=⋋%⋟38070","layer":0}]}
+{"id":577,"expression_no_base_symbol":"$4248$⋓$1438$⋥≓≎($1840$⫌⩉⩟$6059$)","expression":"⋋%⋟5740⋓⋋%⋟1867⋥≓≎(⋋%⋟2464⫌⩉⩟⋋%⋟8272)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":30468,"operation_count":3,"complexity_ratio":10156.0,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":4248,"base":9},"right_expr":{"type":"numeric_atoms","value":1438,"base":9}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":1840,"base":9},"right_expr":{"type":"numeric_atoms","value":6059,"base":9}}},"used_operators":["Qy55tPpLXF","T2fj7uvVaJ","XIIwhv8d0m"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM"],"result":"⋋%⋟-74","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=4248","layer":2},{"info":"number node, value=1438","layer":2},{"info":"compute binary expreesion, left_input=4248, right_input=1438, 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=1840","layer":2},{"info":"number node, value=6059","layer":2},{"info":"compute binary expreesion, left_input=1840, right_input=6059, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-50, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-67","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟5740⋓⋋%⋟1867⋥≓≎(⋋%⋟2464⫌⩉⩟⋋%⋟8272)=⋋%⋟-74","reverse_text":"⋋%⋟-74=⋋%⋟5740⋓⋋%⋟1867⋥≓≎(⋋%⋟2464⫌⩉⩟⋋%⋟8272)","cot":[{"info":"⋋%⋟5740⋓⋋%⋟1867=⋋%⋟0","layer":1},{"info":"⋋%⋟2464⫌⩉⩟⋋%⋟8272=⋋%⋟-55","layer":1},{"info":"⋋%⋟0⋥≓≎⋋%⋟-55=⋋%⋟-74","layer":0}]}
+{"id":578,"expression_no_base_symbol":"(⫓⪴$2038$)⋹⋡⊁($9781$∀⇚≩$5753$)","expression":"(⫓⪴⋋%⋟2714)⋹⋡⊁(⋋%⋟14367∀⇚≩⋋%⋟7802)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":70527,"operation_count":3,"complexity_ratio":23509.0,"tree":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":2038,"base":9}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":9781,"base":9},"right_expr":{"type":"numeric_atoms","value":5753,"base":9}}},"used_operators":["As8RqfVLgs","eLxqMNBOBk","LRNGc0VcxI"],"dependent_operators":["ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","9HNa5Wba9A","X99M06cbEe"],"result":"⋋%⋟68463241","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2038","layer":2},{"info":"compute unary expreesion, input=2038, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=4153444","layer":1},{"info":"number node, value=9781","layer":2},{"info":"number node, value=5753","layer":2},{"info":"compute binary expreesion, left_input=9781, right_input=5753, 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=4153444, right_input=nan, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=33227290","layer":0}],"base":9,"result_base":9,"text":"(⫓⪴⋋%⋟2714)⋹⋡⊁(⋋%⋟14367∀⇚≩⋋%⋟7802)=⋋%⋟68463241","reverse_text":"⋋%⋟68463241=(⫓⪴⋋%⋟2714)⋹⋡⊁(⋋%⋟14367∀⇚≩⋋%⋟7802)","cot":[{"info":"⫓⪴⋋%⋟2714=⋋%⋟7730407","layer":1},{"info":"⋋%⋟14367∀⇚≩⋋%⋟7802=NaN","layer":1},{"info":"⋋%⋟7730407⋹⋡⊁NaN=⋋%⋟68463241","layer":0}]}
+{"id":579,"expression_no_base_symbol":"($5916$≹⇙⪍$1236$)⨸(∂$4960$)","expression":"(⋋%⋟8103≹⇙⪍⋋%⋟1623)⨸(∂⋋%⋟6721)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":113,"operation_count":3,"complexity_ratio":37.666666666666664,"tree":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":5916,"base":9},"right_expr":{"type":"numeric_atoms","value":1236,"base":9}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":4960,"base":9}}},"used_operators":["KmoU8R5UQR","AHs5Up7iyr","Uaa54Peajs"],"dependent_operators":["ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","dWAJyo7jo9","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=5916","layer":2},{"info":"number node, value=1236","layer":2},{"info":"compute binary expreesion, left_input=5916, right_input=1236, 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=4960","layer":2},{"info":"compute unary expreesion, input=4960, 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":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟8103≹⇙⪍⋋%⋟1623)⨸(∂⋋%⋟6721)=NaN","reverse_text":"NaN=(⋋%⋟8103≹⇙⪍⋋%⋟1623)⨸(∂⋋%⋟6721)","cot":[{"info":"⋋%⋟8103≹⇙⪍⋋%⋟1623=NaN","layer":1},{"info":"∂⋋%⋟6721=NaN","layer":1},{"info":"NaN⨸NaN=NaN","layer":0}]}
+{"id":580,"expression_no_base_symbol":"$4739$∑⇟⊟$2134$∙∹∝$4064$⨼⩣$1918$","expression":"⋋%⋟6445∑⇟⊟⋋%⋟2831∙∹∝⋋%⋟5515⨼⩣⋋%⋟2561","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":385,"operation_count":3,"complexity_ratio":128.33333333333334,"tree":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":4739,"base":9},"right_expr":{"type":"numeric_atoms","value":2134,"base":9}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":4064,"base":9},"right_expr":{"type":"numeric_atoms","value":1918,"base":9}}},"used_operators":["HmxsFra2vL","U7g4x0WXJJ","JxwMv5le6e"],"dependent_operators":["BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=4739","layer":2},{"info":"number node, value=2134","layer":2},{"info":"compute binary expreesion, left_input=4739, right_input=2134, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=4064","layer":2},{"info":"number node, value=1918","layer":2},{"info":"compute binary expreesion, left_input=4064, right_input=1918, 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 = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=nan","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟6445∑⇟⊟⋋%⋟2831∙∹∝⋋%⋟5515⨼⩣⋋%⋟2561=NaN","reverse_text":"NaN=⋋%⋟6445∑⇟⊟⋋%⋟2831∙∹∝⋋%⋟5515⨼⩣⋋%⋟2561","cot":[{"info":"⋋%⋟6445∑⇟⊟⋋%⋟2831=NaN","layer":1},{"info":"⋋%⋟5515⨼⩣⋋%⋟2561=NaN","layer":1},{"info":"NaN∙∹∝NaN=NaN","layer":0}]}
+{"id":581,"expression_no_base_symbol":"($1418$⫃⨇$4658$)⪕$3038$⋛$1462$","expression":"(⋋%⋟1845⫃⨇⋋%⋟6345)⪕⋋%⋟4145⋛⋋%⋟2004","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":285,"operation_count":3,"complexity_ratio":95.0,"tree":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":1418,"base":9},"right_expr":{"type":"numeric_atoms","value":4658,"base":9}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":3038,"base":9},"right_expr":{"type":"numeric_atoms","value":1462,"base":9}}},"used_operators":["umQnsF7QlU","09Ly4LVMIf","YbUVn0Rbpy"],"dependent_operators":["P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA"],"result":"⋋%⋟1248","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1418","layer":2},{"info":"number node, value=4658","layer":2},{"info":"compute binary expreesion, left_input=1418, right_input=4658, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-18664","layer":1},{"info":"number node, value=3038","layer":2},{"info":"number node, value=1462","layer":2},{"info":"compute binary expreesion, left_input=3038, right_input=1462, 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=-104850","layer":1},{"info":"compute binary expreesion, left_input=-18664, right_input=-104850, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=935","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟1845⫃⨇⋋%⋟6345)⪕⋋%⋟4145⋛⋋%⋟2004=⋋%⋟1248","reverse_text":"⋋%⋟1248=(⋋%⋟1845⫃⨇⋋%⋟6345)⪕⋋%⋟4145⋛⋋%⋟2004","cot":[{"info":"⋋%⋟1845⫃⨇⋋%⋟6345=⋋%⋟-27537","layer":1},{"info":"⋋%⋟4145⋛⋋%⋟2004=⋋%⋟-168740","layer":1},{"info":"⋋%⋟-27537⪕⋋%⋟-168740=⋋%⋟1248","layer":0}]}
+{"id":582,"expression_no_base_symbol":"(⊿$4871$)⋕⪉⪜($1809$⪘⨀)","expression":"(⊿⋋%⋟6612)⋕⪉⪜(⋋%⋟2430⪘⨀)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":73,"operation_count":3,"complexity_ratio":24.333333333333332,"tree":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"numeric_atoms","value":4871,"base":9}},"right_expr":{"type":"unary","operator":"⪘⨀","unary_expr":{"type":"numeric_atoms","value":1809,"base":9}}},"used_operators":["z6LnFrNh4i","DO4fhlbJSI","aA7tF3KVD3"],"dependent_operators":["sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","bl5wxAcryP","L05ObWFQCd","XhwjNDsVaA"],"result":"⋋%⋟246","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=4871","layer":2},{"info":"compute unary expreesion, input=4871, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-20222","layer":1},{"info":"number node, value=1809","layer":2},{"info":"compute unary expreesion, input=1809, op_id = aA7tF3KVD3, unary_op_definition = 'a⪘⨀ = { ((104/a)⪍↜⋙(a↰)) }', output=-4199","layer":1},{"info":"compute binary expreesion, left_input=-20222, right_input=-4199, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":0}],"base":9,"result_base":9,"text":"(⊿⋋%⋟6612)⋕⪉⪜(⋋%⋟2430⪘⨀)=⋋%⋟246","reverse_text":"⋋%⋟246=(⊿⋋%⋟6612)⋕⪉⪜(⋋%⋟2430⪘⨀)","cot":[{"info":"⊿⋋%⋟6612=⋋%⋟-30658","layer":1},{"info":"⋋%⋟2430⪘⨀=⋋%⋟-5675","layer":1},{"info":"⋋%⋟-30658⋕⪉⪜⋋%⋟-5675=⋋%⋟246","layer":0}]}
+{"id":583,"expression_no_base_symbol":"⊖(⊢≑≆$7070$)","expression":"⊖(⊢≑≆⋋%⋟10625)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":21,"operation_count":2,"complexity_ratio":10.5,"tree":{"type":"unary","operator":"⊖","unary_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"numeric_atoms","value":7070,"base":9}}},"used_operators":["U6pG0PXrV3","27wFxooxGf"],"dependent_operators":["tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj"],"result":"⋋%⋟0","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=7070","layer":2},{"info":"compute unary expreesion, input=7070, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=28732","layer":1},{"info":"compute unary expreesion, input=28732, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":0}],"base":9,"result_base":9,"text":"⊖(⊢≑≆⋋%⋟10625)=⋋%⋟0","reverse_text":"⋋%⋟0=⊖(⊢≑≆⋋%⋟10625)","cot":[{"info":"⊢≑≆⋋%⋟10625=⋋%⋟43364","layer":1},{"info":"⊖⋋%⋟43364=⋋%⋟0","layer":0}]}
+{"id":584,"expression_no_base_symbol":"$2879$⪬$2233$∘($3440$∝$1333$)","expression":"⋋%⋟3848⪬⋋%⋟3051∘(⋋%⋟4642∝⋋%⋟1741)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":580,"operation_count":3,"complexity_ratio":193.33333333333334,"tree":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":2879,"base":9},"right_expr":{"type":"numeric_atoms","value":2233,"base":9}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":3440,"base":9},"right_expr":{"type":"numeric_atoms","value":1333,"base":9}}},"used_operators":["Z5m6OM72h2","Ez1Nq5fNfI","cTDWOvIxvz"],"dependent_operators":["eH2TOUuTDT","rysDP5nf3Z","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","7j4O788W3g","W4YGzv6Whe","COABgblf1C"],"result":"⋋%⋟3342","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=2879","layer":2},{"info":"number node, value=2233","layer":2},{"info":"compute binary expreesion, left_input=2879, right_input=2233, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":1},{"info":"number node, value=3440","layer":2},{"info":"number node, value=1333","layer":2},{"info":"compute binary expreesion, left_input=3440, right_input=1333, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=3445","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=3445, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=2468","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟3848⪬⋋%⋟3051∘(⋋%⋟4642∝⋋%⋟1741)=⋋%⋟3342","reverse_text":"⋋%⋟3342=⋋%⋟3848⪬⋋%⋟3051∘(⋋%⋟4642∝⋋%⋟1741)","cot":[{"info":"⋋%⋟3848⪬⋋%⋟3051=⋋%⋟1621","layer":1},{"info":"⋋%⋟4642∝⋋%⋟1741=⋋%⋟4647","layer":1},{"info":"⋋%⋟1621∘⋋%⋟4647=⋋%⋟3342","layer":0}]}
+{"id":585,"expression_no_base_symbol":"(⊥$1747$)⩹$2172$∌$1556$","expression":"(⊥⋋%⋟2351)⩹⋋%⋟2873∌⋋%⋟2118","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":15,"operation_count":3,"complexity_ratio":5.0,"tree":{"type":"binary","operator":"⩹","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1747,"base":9}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":2172,"base":9},"right_expr":{"type":"numeric_atoms","value":1556,"base":9}}},"used_operators":["2Wsdkap16l","Q3PJZHRvZv","8cLx32lpNA"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","fu6greOZ01","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd"],"result":"⋋%⋟-2121","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1747","layer":2},{"info":"compute unary expreesion, input=1747, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"number node, value=2172","layer":2},{"info":"number node, value=1556","layer":2},{"info":"compute binary expreesion, left_input=2172, right_input=1556, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-1556","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1556, 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=-1558","layer":0}],"base":9,"result_base":9,"text":"(⊥⋋%⋟2351)⩹⋋%⋟2873∌⋋%⋟2118=⋋%⋟-2121","reverse_text":"⋋%⋟-2121=(⊥⋋%⋟2351)⩹⋋%⋟2873∌⋋%⋟2118","cot":[{"info":"⊥⋋%⋟2351=NaN","layer":1},{"info":"⋋%⋟2873∌⋋%⋟2118=⋋%⋟-2118","layer":1},{"info":"NaN⩹⋋%⋟-2118=⋋%⋟-2121","layer":0}]}
+{"id":586,"expression_no_base_symbol":"⊀($5550$⩷∴$4431$)","expression":"⊀(⋋%⋟7546⩷∴⋋%⋟6063)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":23,"operation_count":2,"complexity_ratio":11.5,"tree":{"type":"unary","operator":"⊀","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":5550,"base":9},"right_expr":{"type":"numeric_atoms","value":4431,"base":9}}},"used_operators":["oPMjh9089D","9FxExcQeMw"],"dependent_operators":["Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","rysDP5nf3Z"],"result":"⋋%⋟12663","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=5550","layer":2},{"info":"number node, value=4431","layer":2},{"info":"compute binary expreesion, left_input=5550, right_input=4431, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=2206","layer":1},{"info":"compute unary expreesion, input=2206, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=8562","layer":0}],"base":9,"result_base":9,"text":"⊀(⋋%⋟7546⩷∴⋋%⋟6063)=⋋%⋟12663","reverse_text":"⋋%⋟12663=⊀(⋋%⋟7546⩷∴⋋%⋟6063)","cot":[{"info":"⋋%⋟7546⩷∴⋋%⋟6063=⋋%⋟3021","layer":1},{"info":"⊀⋋%⋟3021=⋋%⋟12663","layer":0}]}
+{"id":587,"expression_no_base_symbol":"⩷⨜⫀($2062$⩘)","expression":"⩷⨜⫀(⋋%⋟2741⩘)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":49,"operation_count":2,"complexity_ratio":24.5,"tree":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"unary","operator":"⩘","unary_expr":{"type":"numeric_atoms","value":2062,"base":9}}},"used_operators":["CDi0ktkjQ4","wvHyciQT5X"],"dependent_operators":["ruOEQAzv1W","nhYeJWJD5X","9ICcGScMcE","dfKe02y8D2"],"result":"⋋%⋟248","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2062","layer":2},{"info":"compute unary expreesion, input=2062, op_id = wvHyciQT5X, unary_op_definition = 'a⩘ = { (≦∁(a⫚↹⊑129)) }', output=67","layer":1},{"info":"compute unary expreesion, input=67, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=206","layer":0}],"base":9,"result_base":9,"text":"⩷⨜⫀(⋋%⋟2741⩘)=⋋%⋟248","reverse_text":"⋋%⋟248=⩷⨜⫀(⋋%⋟2741⩘)","cot":[{"info":"⋋%⋟2741⩘=⋋%⋟74","layer":1},{"info":"⩷⨜⫀⋋%⋟74=⋋%⋟248","layer":0}]}
+{"id":588,"expression_no_base_symbol":"($1809$⫑)⪄(≦∁$5470$)","expression":"(⋋%⋟2430⫑)⪄(≦∁⋋%⋟7447)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":240,"operation_count":3,"complexity_ratio":80.0,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⫑","unary_expr":{"type":"numeric_atoms","value":1809,"base":9}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":5470,"base":9}}},"used_operators":["SUmda5xLS4","CgIo77xlM2","9ICcGScMcE"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","cWQsF5MvuD","zR4jO40bMj","SUmda5xLS4","DZ8iAZOCBD","PxpmPgHHJV","ocnLzx9CaJ","Z5m6OM72h2","mqXw5SEYmG","8cLx32lpNA","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"⋋%⋟-1124410","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1809","layer":2},{"info":"compute unary expreesion, input=1809, 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=5470","layer":2},{"info":"compute unary expreesion, input=5470, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=5470","layer":1},{"info":"compute binary expreesion, left_input=3979, right_input=5470, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-606861","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟2430⫑)⪄(≦∁⋋%⋟7447)=⋋%⋟-1124410","reverse_text":"⋋%⋟-1124410=(⋋%⋟2430⫑)⪄(≦∁⋋%⋟7447)","cot":[{"info":"⋋%⋟2430⫑=⋋%⋟5411","layer":1},{"info":"≦∁⋋%⋟7447=⋋%⋟7447","layer":1},{"info":"⋋%⋟5411⪄⋋%⋟7447=⋋%⋟-1124410","layer":0}]}
+{"id":589,"expression_no_base_symbol":"(≋$4834$)⪗","expression":"(≋⋋%⋟6561)⪗","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4836,"operation_count":2,"complexity_ratio":2418.0,"tree":{"type":"unary","operator":"⪗","unary_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"numeric_atoms","value":4834,"base":9}}},"used_operators":["VEQNXA0ZBg","61wBmkZwlr"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=4834","layer":2},{"info":"compute unary expreesion, input=4834, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=4834","layer":1},{"info":"compute unary expreesion, input=4834, op_id = VEQNXA0ZBg, unary_op_definition = 'a⪗ = { (a⪢a) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(≋⋋%⋟6561)⪗=NaN","reverse_text":"NaN=(≋⋋%⋟6561)⪗","cot":[{"info":"≋⋋%⋟6561=⋋%⋟6561","layer":1},{"info":"⋋%⋟6561⪗=NaN","layer":0}]}
+{"id":590,"expression_no_base_symbol":"(≦∁$2123$)⪚($5063$⩧⪆$2041$)","expression":"(≦∁⋋%⋟2818)⪚(⋋%⋟6845⩧⪆⋋%⋟2717)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":23,"operation_count":3,"complexity_ratio":7.666666666666667,"tree":{"type":"binary","operator":"⪚","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":2123,"base":9}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":5063,"base":9},"right_expr":{"type":"numeric_atoms","value":2041,"base":9}}},"used_operators":["HrjLwUk87U","9ICcGScMcE","Ikt5ks8PT7"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","eewbuw0ToL","t8gj7n24qd"],"result":"⋋%⋟11837","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2123","layer":2},{"info":"compute unary expreesion, input=2123, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2123","layer":1},{"info":"number node, value=5063","layer":2},{"info":"number node, value=2041","layer":2},{"info":"compute binary expreesion, left_input=5063, right_input=2041, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-2041","layer":1},{"info":"compute binary expreesion, left_input=2123, right_input=-2041, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=7972","layer":0}],"base":9,"result_base":9,"text":"(≦∁⋋%⋟2818)⪚(⋋%⋟6845⩧⪆⋋%⋟2717)=⋋%⋟11837","reverse_text":"⋋%⋟11837=(≦∁⋋%⋟2818)⪚(⋋%⋟6845⩧⪆⋋%⋟2717)","cot":[{"info":"≦∁⋋%⋟2818=⋋%⋟2818","layer":1},{"info":"⋋%⋟6845⩧⪆⋋%⋟2717=⋋%⋟-2717","layer":1},{"info":"⋋%⋟2818⪚⋋%⋟-2717=⋋%⋟11837","layer":0}]}
+{"id":591,"expression_no_base_symbol":"($1962$∲⫓$1022$)⨻⩈⩔(≪$6769$)","expression":"(⋋%⋟2620∲⫓⋋%⋟1355)⨻⩈⩔(≪⋋%⋟10251)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":134,"operation_count":3,"complexity_ratio":44.666666666666664,"tree":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1962,"base":9},"right_expr":{"type":"numeric_atoms","value":1022,"base":9}},"right_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"numeric_atoms","value":6769,"base":9}}},"used_operators":["nEsXyWgiOK","i8ToyICDmI","Qtd6bqUJcN"],"dependent_operators":["D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","W4YGzv6Whe","t8gj7n24qd","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA"],"result":"⋋%⋟-213","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1962","layer":2},{"info":"number node, value=1022","layer":2},{"info":"compute binary expreesion, left_input=1962, right_input=1022, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"number node, value=6769","layer":2},{"info":"compute unary expreesion, input=6769, 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=0, right_input=913, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟2620∲⫓⋋%⋟1355)⨻⩈⩔(≪⋋%⋟10251)=⋋%⋟-213","reverse_text":"⋋%⋟-213=(⋋%⋟2620∲⫓⋋%⋟1355)⨻⩈⩔(≪⋋%⋟10251)","cot":[{"info":"⋋%⋟2620∲⫓⋋%⋟1355=⋋%⋟0","layer":1},{"info":"≪⋋%⋟10251=⋋%⋟1224","layer":1},{"info":"⋋%⋟0⨻⩈⩔⋋%⋟1224=⋋%⋟-213","layer":0}]}
+{"id":592,"expression_no_base_symbol":"⨈⫕$2281$⪟⇏$1837$","expression":"⨈⫕⋋%⋟3114⪟⇏⋋%⋟2461","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":413,"operation_count":2,"complexity_ratio":206.5,"tree":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":2281,"base":9},"right_expr":{"type":"numeric_atoms","value":1837,"base":9}}},"used_operators":["megm06wKyl","GODebY97qR"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X"],"result":"⋋%⋟-23","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2281","layer":2},{"info":"number node, value=1837","layer":2},{"info":"compute binary expreesion, left_input=2281, right_input=1837, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":1},{"info":"compute unary expreesion, input=-1, 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":9,"result_base":9,"text":"⨈⫕⋋%⋟3114⪟⇏⋋%⋟2461=⋋%⋟-23","reverse_text":"⋋%⋟-23=⨈⫕⋋%⋟3114⪟⇏⋋%⋟2461","cot":[{"info":"⋋%⋟3114⪟⇏⋋%⋟2461=⋋%⋟-1","layer":1},{"info":"⨈⫕⋋%⋟-1=⋋%⋟-23","layer":0}]}
+{"id":593,"expression_no_base_symbol":"$1099$≦↸$5084$⊴$2802$⊬⨰$3605$","expression":"⋋%⋟1451≦↸⋋%⋟6868⊴⋋%⋟3753⊬⨰⋋%⋟4845","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":16530,"operation_count":3,"complexity_ratio":5510.0,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":1099,"base":9},"right_expr":{"type":"numeric_atoms","value":5084,"base":9}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":2802,"base":9},"right_expr":{"type":"numeric_atoms","value":3605,"base":9}}},"used_operators":["Nsiff2A1zJ","RygbFNSyEJ","s3Fd5m9Dh2"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1099","layer":2},{"info":"number node, value=5084","layer":2},{"info":"compute binary expreesion, left_input=1099, right_input=5084, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-11685","layer":1},{"info":"number node, value=2802","layer":2},{"info":"number node, value=3605","layer":2},{"info":"compute binary expreesion, left_input=2802, right_input=3605, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=16166","layer":1},{"info":"compute binary expreesion, left_input=-11685, right_input=16166, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟1451≦↸⋋%⋟6868⊴⋋%⋟3753⊬⨰⋋%⋟4845=NaN","reverse_text":"NaN=⋋%⋟1451≦↸⋋%⋟6868⊴⋋%⋟3753⊬⨰⋋%⋟4845","cot":[{"info":"⋋%⋟1451≦↸⋋%⋟6868=⋋%⋟-17023","layer":1},{"info":"⋋%⋟3753⊬⨰⋋%⋟4845=⋋%⋟24152","layer":1},{"info":"⋋%⋟-17023⊴⋋%⋟24152=NaN","layer":0}]}
+{"id":594,"expression_no_base_symbol":"(⩒∊$1088$)⊕∕(↽≂$1926$)","expression":"(⩒∊⋋%⋟1438)⊕∕(↽≂⋋%⋟2570)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":12,"operation_count":3,"complexity_ratio":4.0,"tree":{"type":"binary","operator":"⊕∕","left_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"numeric_atoms","value":1088,"base":9}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1926,"base":9}}},"used_operators":["9cloC0Ngie","qazvmhNBbN","u6S6b8DprG"],"dependent_operators":["Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⋋%⋟1846","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1088","layer":2},{"info":"compute unary expreesion, input=1088, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=1419","layer":1},{"info":"number node, value=1926","layer":2},{"info":"compute unary expreesion, input=1926, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-3852","layer":1},{"info":"compute binary expreesion, left_input=1419, right_input=-3852, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=1419","layer":0}],"base":9,"result_base":9,"text":"(⩒∊⋋%⋟1438)⊕∕(↽≂⋋%⋟2570)=⋋%⋟1846","reverse_text":"⋋%⋟1846=(⩒∊⋋%⋟1438)⊕∕(↽≂⋋%⋟2570)","cot":[{"info":"⩒∊⋋%⋟1438=⋋%⋟1846","layer":1},{"info":"↽≂⋋%⋟2570=⋋%⋟-5250","layer":1},{"info":"⋋%⋟1846⊕∕⋋%⋟-5250=⋋%⋟1846","layer":0}]}
+{"id":595,"expression_no_base_symbol":"(⪭⩑⪱$3432$)⋫","expression":"(⪭⩑⪱⋋%⋟4633)⋫","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":574069,"operation_count":2,"complexity_ratio":287034.5,"tree":{"type":"unary","operator":"⋫","unary_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"numeric_atoms","value":3432,"base":9}}},"used_operators":["JL8yIekQnl","SIgE0bArFf"],"dependent_operators":["tmPS8pqC7x","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3432","layer":2},{"info":"compute unary expreesion, input=3432, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":1},{"info":"compute unary expreesion, input=8320752, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(⪭⩑⪱⋋%⋟4633)⋫=NaN","reverse_text":"NaN=(⪭⩑⪱⋋%⋟4633)⋫","cot":[{"info":"⪭⩑⪱⋋%⋟4633=⋋%⋟16581830","layer":1},{"info":"⋋%⋟16581830⋫=NaN","layer":0}]}
+{"id":596,"expression_no_base_symbol":"($1442$⪒$5765$)⊬⨰(⇘$7029$)","expression":"(⋋%⋟1872⪒⋋%⋟7815)⊬⨰(⇘⋋%⋟10570)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":14115,"operation_count":3,"complexity_ratio":4705.0,"tree":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1442,"base":9},"right_expr":{"type":"numeric_atoms","value":5765,"base":9}},"right_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"numeric_atoms","value":7029,"base":9}}},"used_operators":["s3Fd5m9Dh2","f6k1SAg4EE","MGuIdZPyUC"],"dependent_operators":["23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","W4YGzv6Whe","t8gj7n24qd","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X"],"result":"⋋%⋟3084425","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1442","layer":2},{"info":"number node, value=5765","layer":2},{"info":"compute binary expreesion, left_input=1442, right_input=5765, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7207","layer":1},{"info":"number node, value=7029","layer":2},{"info":"compute unary expreesion, input=7029, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=416122","layer":1},{"info":"compute binary expreesion, left_input=-7207, right_input=416122, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=1650074","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟1872⪒⋋%⋟7815)⊬⨰(⇘⋋%⋟10570)=⋋%⋟3084425","reverse_text":"⋋%⋟3084425=(⋋%⋟1872⪒⋋%⋟7815)⊬⨰(⇘⋋%⋟10570)","cot":[{"info":"⋋%⋟1872⪒⋋%⋟7815=⋋%⋟-10787","layer":1},{"info":"⇘⋋%⋟10570=⋋%⋟703727","layer":1},{"info":"⋋%⋟-10787⊬⨰⋋%⋟703727=⋋%⋟3084425","layer":0}]}
+{"id":597,"expression_no_base_symbol":"($1348$↸$9212$)⪔$6608$⊔$4767$","expression":"(⋋%⋟1757↸⋋%⋟13565)⪔⋋%⋟10052⊔⋋%⋟6476","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":36115,"operation_count":3,"complexity_ratio":12038.333333333334,"tree":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":1348,"base":9},"right_expr":{"type":"numeric_atoms","value":9212,"base":9}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":6608,"base":9},"right_expr":{"type":"numeric_atoms","value":4767,"base":9}}},"used_operators":["GjBEYRfMaF","1eCjFl0mb9","E4l6HwMY31"],"dependent_operators":["YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q"],"result":"⋋%⋟550","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1348","layer":2},{"info":"number node, value=9212","layer":2},{"info":"compute binary expreesion, left_input=1348, right_input=9212, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=1348","layer":1},{"info":"number node, value=6608","layer":2},{"info":"number node, value=4767","layer":2},{"info":"compute binary expreesion, left_input=6608, right_input=4767, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=34651","layer":1},{"info":"compute binary expreesion, left_input=1348, right_input=34651, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟1757↸⋋%⋟13565)⪔⋋%⋟10052⊔⋋%⋟6476=⋋%⋟550","reverse_text":"⋋%⋟550=(⋋%⋟1757↸⋋%⋟13565)⪔⋋%⋟10052⊔⋋%⋟6476","cot":[{"info":"⋋%⋟1757↸⋋%⋟13565=⋋%⋟1757","layer":1},{"info":"⋋%⋟10052⊔⋋%⋟6476=⋋%⋟52471","layer":1},{"info":"⋋%⋟1757⪔⋋%⋟52471=⋋%⋟550","layer":0}]}
+{"id":598,"expression_no_base_symbol":"($7007$⊪)⩷∴(≛$1510$)","expression":"(⋋%⋟10545⊪)⩷∴(≛⋋%⋟2057)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":62,"operation_count":3,"complexity_ratio":20.666666666666668,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":7007,"base":9}},"right_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"numeric_atoms","value":1510,"base":9}}},"used_operators":["9FxExcQeMw","zVYPLywUTj","W7eaUhjymW"],"dependent_operators":["rysDP5nf3Z","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C"],"result":"⋋%⋟-13","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=7007","layer":2},{"info":"compute unary expreesion, input=7007, 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":1},{"info":"number node, value=1510","layer":2},{"info":"compute unary expreesion, input=1510, 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 binary expreesion, left_input=0, right_input=-10, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-12","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟10545⊪)⩷∴(≛⋋%⋟2057)=⋋%⋟-13","reverse_text":"⋋%⋟-13=(⋋%⋟10545⊪)⩷∴(≛⋋%⋟2057)","cot":[{"info":"⋋%⋟10545⊪=⋋%⋟0","layer":1},{"info":"≛⋋%⋟2057=⋋%⋟-11","layer":1},{"info":"⋋%⋟0⩷∴⋋%⋟-11=⋋%⋟-13","layer":0}]}
+{"id":599,"expression_no_base_symbol":"(⊽$2047$)∺≝⩲($2431$⪭≯$3658$)","expression":"(⊽⋋%⋟2724)∺≝⩲(⋋%⋟3301⪭≯⋋%⋟5014)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":201,"operation_count":3,"complexity_ratio":67.0,"tree":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"numeric_atoms","value":2047,"base":9}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":2431,"base":9},"right_expr":{"type":"numeric_atoms","value":3658,"base":9}}},"used_operators":["KPf6cnQVty","QxG7OkqoLX","XAx5wpdLa6"],"dependent_operators":["BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW"],"result":"⋋%⋟187","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=2047","layer":2},{"info":"compute unary expreesion, input=2047, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=5616","layer":1},{"info":"number node, value=2431","layer":2},{"info":"number node, value=3658","layer":2},{"info":"compute binary expreesion, left_input=2431, right_input=3658, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=5616, right_input=nan, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":0}],"base":9,"result_base":9,"text":"(⊽⋋%⋟2724)∺≝⩲(⋋%⋟3301⪭≯⋋%⋟5014)=⋋%⋟187","reverse_text":"⋋%⋟187=(⊽⋋%⋟2724)∺≝⩲(⋋%⋟3301⪭≯⋋%⋟5014)","cot":[{"info":"⊽⋋%⋟2724=⋋%⋟7630","layer":1},{"info":"⋋%⋟3301⪭≯⋋%⋟5014=NaN","layer":1},{"info":"⋋%⋟7630∺≝⩲NaN=⋋%⋟187","layer":0}]}
+{"id":600,"expression_no_base_symbol":"($1047$⨘)↢($1919$⩺⪪$1303$)","expression":"(⋋%⋟1383⨘)↢(⋋%⋟2562⩺⪪⋋%⋟1707)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1197,"operation_count":3,"complexity_ratio":399.0,"tree":{"type":"binary","operator":"↢","left_expr":{"type":"unary","operator":"⨘","unary_expr":{"type":"numeric_atoms","value":1047,"base":9}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":1919,"base":9},"right_expr":{"type":"numeric_atoms","value":1303,"base":9}}},"used_operators":["WR6HLWljOP","ljcfZBUpm8","uvdQJvN4PV"],"dependent_operators":["eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","40aOVDgCDB","JL8yIekQnl","ocnLzx9CaJ","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U"],"result":"⋋%⋟-56656","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1047","layer":2},{"info":"compute unary expreesion, input=1047, op_id = ljcfZBUpm8, unary_op_definition = 'a⨘ = { ((4⊢)⩼⇪↪(a⋫)) }', output=-8104","layer":1},{"info":"number node, value=1919","layer":2},{"info":"number node, value=1303","layer":2},{"info":"compute binary expreesion, left_input=1919, right_input=1303, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-10754","layer":1},{"info":"compute binary expreesion, left_input=-8104, right_input=-10754, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=-37716","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟1383⨘)↢(⋋%⋟2562⩺⪪⋋%⋟1707)=⋋%⋟-56656","reverse_text":"⋋%⋟-56656=(⋋%⋟1383⨘)↢(⋋%⋟2562⩺⪪⋋%⋟1707)","cot":[{"info":"⋋%⋟1383⨘=⋋%⋟-12104","layer":1},{"info":"⋋%⋟2562⩺⪪⋋%⋟1707=⋋%⋟-15668","layer":1},{"info":"⋋%⋟-12104↢⋋%⋟-15668=⋋%⋟-56656","layer":0}]}
+{"id":601,"expression_no_base_symbol":"⪨⨬(⨦⪝$2538$)","expression":"⪨⨬(⨦⪝⋋%⋟3430)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":53,"operation_count":2,"complexity_ratio":26.5,"tree":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"numeric_atoms","value":2538,"base":9}}},"used_operators":["5obUd6DV38","SUjycxNXIR"],"dependent_operators":["T2fj7uvVaJ","nlCqmYiOvY","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7"],"result":"⋋%⋟-644","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2538","layer":2},{"info":"compute unary expreesion, input=2538, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":1},{"info":"compute unary expreesion, input=-1884, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":0}],"base":9,"result_base":9,"text":"⪨⨬(⨦⪝⋋%⋟3430)=⋋%⋟-644","reverse_text":"⋋%⋟-644=⪨⨬(⨦⪝⋋%⋟3430)","cot":[{"info":"⨦⪝⋋%⋟3430=⋋%⋟-2523","layer":1},{"info":"⪨⨬⋋%⋟-2523=⋋%⋟-644","layer":0}]}
+{"id":602,"expression_no_base_symbol":"⊥$8446$≁$4401$","expression":"⊥⋋%⋟12524≁⋋%⋟6030","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":70,"operation_count":2,"complexity_ratio":35.0,"tree":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":8446,"base":9},"right_expr":{"type":"numeric_atoms","value":4401,"base":9}}},"used_operators":["Q3PJZHRvZv","8N2wDY1A35"],"dependent_operators":["fu6greOZ01","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=8446","layer":2},{"info":"number node, value=4401","layer":2},{"info":"compute binary expreesion, left_input=8446, right_input=4401, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=92423","layer":1},{"info":"compute unary expreesion, input=92423, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"⊥⋋%⋟12524≁⋋%⋟6030=NaN","reverse_text":"NaN=⊥⋋%⋟12524≁⋋%⋟6030","cot":[{"info":"⋋%⋟12524≁⋋%⋟6030=⋋%⋟150702","layer":1},{"info":"⊥⋋%⋟150702=NaN","layer":0}]}
+{"id":603,"expression_no_base_symbol":"($2357$⫦⪉$8295$)⨟⋌⩍(∤$2524$)","expression":"(⋋%⋟3208⫦⪉⋋%⋟12336)⨟⋌⩍(∤⋋%⋟3414)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":252,"operation_count":3,"complexity_ratio":84.0,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":2357,"base":9},"right_expr":{"type":"numeric_atoms","value":8295,"base":9}},"right_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"numeric_atoms","value":2524,"base":9}}},"used_operators":["rGHVDoGpnC","wscyQdcy20","k2HlF1dBQh"],"dependent_operators":["Tcnh7f0tEr","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp"],"result":"⋋%⋟0","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=2357","layer":2},{"info":"number node, value=8295","layer":2},{"info":"compute binary expreesion, left_input=2357, right_input=8295, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=186","layer":1},{"info":"number node, value=2524","layer":2},{"info":"compute unary expreesion, input=2524, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":1},{"info":"compute binary expreesion, left_input=186, right_input=9, 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":0}],"base":9,"result_base":9,"text":"(⋋%⋟3208⫦⪉⋋%⋟12336)⨟⋌⩍(∤⋋%⋟3414)=⋋%⋟0","reverse_text":"⋋%⋟0=(⋋%⋟3208⫦⪉⋋%⋟12336)⨟⋌⩍(∤⋋%⋟3414)","cot":[{"info":"⋋%⋟3208⫦⪉⋋%⋟12336=⋋%⋟226","layer":1},{"info":"∤⋋%⋟3414=⋋%⋟10","layer":1},{"info":"⋋%⋟226⨟⋌⩍⋋%⋟10=⋋%⋟0","layer":0}]}
+{"id":604,"expression_no_base_symbol":"$1871$⨑⩅≇$2786$∝$4660$⨼⩣$2956$","expression":"⋋%⋟2508⨑⩅≇⋋%⋟3735∝⋋%⋟6347⨼⩣⋋%⋟4044","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3226,"operation_count":3,"complexity_ratio":1075.3333333333333,"tree":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":1871,"base":9},"right_expr":{"type":"numeric_atoms","value":2786,"base":9}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":4660,"base":9},"right_expr":{"type":"numeric_atoms","value":2956,"base":9}}},"used_operators":["cTDWOvIxvz","h92wMvzauj","JxwMv5le6e"],"dependent_operators":["7j4O788W3g","W4YGzv6Whe","COABgblf1C","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1871","layer":2},{"info":"number node, value=2786","layer":2},{"info":"compute binary expreesion, left_input=1871, right_input=2786, 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=-5613","layer":1},{"info":"number node, value=4660","layer":2},{"info":"number node, value=2956","layer":2},{"info":"compute binary expreesion, left_input=4660, right_input=2956, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-5613, right_input=nan, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟2508⨑⩅≇⋋%⋟3735∝⋋%⋟6347⨼⩣⋋%⋟4044=NaN","reverse_text":"NaN=⋋%⋟2508⨑⩅≇⋋%⋟3735∝⋋%⋟6347⨼⩣⋋%⋟4044","cot":[{"info":"⋋%⋟2508⨑⩅≇⋋%⋟3735=⋋%⋟-7626","layer":1},{"info":"⋋%⋟6347⨼⩣⋋%⋟4044=NaN","layer":1},{"info":"⋋%⋟-7626∝NaN=NaN","layer":0}]}
+{"id":605,"expression_no_base_symbol":"($4675$⊬⨰$1021$)⋹⋡⊁($1010$+⇶⊼$8655$)","expression":"(⋋%⋟6364⊬⨰⋋%⋟1354)⋹⋡⊁(⋋%⋟1342+⇶⊼⋋%⋟12776)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":32,"operation_count":3,"complexity_ratio":10.666666666666666,"tree":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":4675,"base":9},"right_expr":{"type":"numeric_atoms","value":1021,"base":9}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1010,"base":9},"right_expr":{"type":"numeric_atoms","value":8655,"base":9}}},"used_operators":["As8RqfVLgs","s3Fd5m9Dh2","TpPTUOHfaN"],"dependent_operators":["ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","AHs5Up7iyr"],"result":"⋋%⋟103150","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=4675","layer":2},{"info":"number node, value=1021","layer":2},{"info":"compute binary expreesion, left_input=4675, right_input=1021, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=7703","layer":1},{"info":"number node, value=1010","layer":2},{"info":"number node, value=8655","layer":2},{"info":"compute binary expreesion, left_input=1010, right_input=8655, 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=7703, right_input=nan, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=61362","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟6364⊬⨰⋋%⋟1354)⋹⋡⊁(⋋%⋟1342+⇶⊼⋋%⋟12776)=⋋%⋟103150","reverse_text":"⋋%⋟103150=(⋋%⋟6364⊬⨰⋋%⋟1354)⋹⋡⊁(⋋%⋟1342+⇶⊼⋋%⋟12776)","cot":[{"info":"⋋%⋟6364⊬⨰⋋%⋟1354=⋋%⋟11508","layer":1},{"info":"⋋%⋟1342+⇶⊼⋋%⋟12776=NaN","layer":1},{"info":"⋋%⋟11508⋹⋡⊁NaN=⋋%⋟103150","layer":0}]}
+{"id":606,"expression_no_base_symbol":"$8311$⇣⩺⋵$2643$⋾⨃∁($2418$⪍↜⋙$4722$)","expression":"⋋%⋟12354⇣⩺⋵⋋%⋟3556⋾⨃∁(⋋%⋟3276⪍↜⋙⋋%⋟6426)","highest_n_order":2,"priority_hierarchical_complexity":1,"normalized_expansion_degree":22422,"operation_count":3,"complexity_ratio":7474.0,"tree":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":8311,"base":9},"right_expr":{"type":"numeric_atoms","value":2643,"base":9}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":2418,"base":9},"right_expr":{"type":"numeric_atoms","value":4722,"base":9}}},"used_operators":["212REbPD9h","F4yD0voBRQ","L05ObWFQCd"],"dependent_operators":["eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q"],"result":"Inf","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=8311","layer":2},{"info":"number node, value=2643","layer":2},{"info":"compute binary expreesion, left_input=8311, right_input=2643, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":1},{"info":"number node, value=2418","layer":2},{"info":"number node, value=4722","layer":2},{"info":"compute binary expreesion, left_input=2418, right_input=4722, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-22317","layer":1},{"info":"compute binary expreesion, left_input=-260, right_input=-22317, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=inf","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟12354⇣⩺⋵⋋%⋟3556⋾⨃∁(⋋%⋟3276⪍↜⋙⋋%⋟6426)=Inf","reverse_text":"Inf=⋋%⋟12354⇣⩺⋵⋋%⋟3556⋾⨃∁(⋋%⋟3276⪍↜⋙⋋%⋟6426)","cot":[{"info":"⋋%⋟12354⇣⩺⋵⋋%⋟3556=⋋%⋟-318","layer":1},{"info":"⋋%⋟3276⪍↜⋙⋋%⋟6426=⋋%⋟-33546","layer":1},{"info":"⋋%⋟-318⋾⨃∁⋋%⋟-33546=Inf","layer":0}]}
+{"id":607,"expression_no_base_symbol":"⨂⪏⇭($8636$⋣⋖$4816$)","expression":"⨂⪏⇭(⋋%⋟12755⋣⋖⋋%⋟6541)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":17,"operation_count":2,"complexity_ratio":8.5,"tree":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":8636,"base":9},"right_expr":{"type":"numeric_atoms","value":4816,"base":9}}},"used_operators":["AYdpE9sXAk","J0M6qkBnIM"],"dependent_operators":["eewbuw0ToL","NTOWxs364D","EBcxylXtPf","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2"],"result":"⋋%⋟37168","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=8636","layer":2},{"info":"number node, value=4816","layer":2},{"info":"compute binary expreesion, left_input=8636, right_input=4816, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=8636","layer":1},{"info":"compute unary expreesion, input=8636, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=24929","layer":0}],"base":9,"result_base":9,"text":"⨂⪏⇭(⋋%⋟12755⋣⋖⋋%⋟6541)=⋋%⋟37168","reverse_text":"⋋%⋟37168=⨂⪏⇭(⋋%⋟12755⋣⋖⋋%⋟6541)","cot":[{"info":"⋋%⋟12755⋣⋖⋋%⋟6541=⋋%⋟12755","layer":1},{"info":"⨂⪏⇭⋋%⋟12755=⋋%⋟37168","layer":0}]}
+{"id":608,"expression_no_base_symbol":"$4386$⨫⇇↔$1415$⊲⩕⊾($2762$⫡⨏$2566$)","expression":"⋋%⋟6013⨫⇇↔⋋%⋟1842⊲⩕⊾(⋋%⋟3708⫡⨏⋋%⋟3461)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":50,"operation_count":3,"complexity_ratio":16.666666666666668,"tree":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":4386,"base":9},"right_expr":{"type":"numeric_atoms","value":1415,"base":9}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2762,"base":9},"right_expr":{"type":"numeric_atoms","value":2566,"base":9}}},"used_operators":["DmTXOeWf9t","LXhwmt4mBO","QMFrweE19q"],"dependent_operators":["23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd"],"result":"⋋%⋟1652","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=4386","layer":2},{"info":"number node, value=1415","layer":2},{"info":"compute binary expreesion, left_input=4386, right_input=1415, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":1},{"info":"number node, value=2762","layer":2},{"info":"number node, value=2566","layer":2},{"info":"compute binary expreesion, left_input=2762, right_input=2566, 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=19725","layer":1},{"info":"compute binary expreesion, left_input=-527, right_input=19725, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=1262","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟6013⨫⇇↔⋋%⋟1842⊲⩕⊾(⋋%⋟3708⫡⨏⋋%⋟3461)=⋋%⋟1652","reverse_text":"⋋%⋟1652=⋋%⋟6013⨫⇇↔⋋%⋟1842⊲⩕⊾(⋋%⋟3708⫡⨏⋋%⋟3461)","cot":[{"info":"⋋%⋟6013⨫⇇↔⋋%⋟1842=⋋%⋟-645","layer":1},{"info":"⋋%⋟3708⫡⨏⋋%⋟3461=⋋%⋟30046","layer":1},{"info":"⋋%⋟-645⊲⩕⊾⋋%⋟30046=⋋%⋟1652","layer":0}]}
+{"id":609,"expression_no_base_symbol":"(⊽$1349$)≎⊠⪸$6608$⊋$3353$","expression":"(⊽⋋%⋟1758)≎⊠⪸⋋%⋟10052⊋⋋%⋟4535","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6896,"operation_count":3,"complexity_ratio":2298.6666666666665,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"numeric_atoms","value":1349,"base":9}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":6608,"base":9},"right_expr":{"type":"numeric_atoms","value":3353,"base":9}}},"used_operators":["bJkvcejdHO","QxG7OkqoLX","W4tP9CfskL"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu"],"result":"⋋%⋟2044566","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1349","layer":2},{"info":"compute unary expreesion, input=1349, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=4220","layer":1},{"info":"number node, value=6608","layer":2},{"info":"number node, value=3353","layer":2},{"info":"compute binary expreesion, left_input=6608, right_input=3353, 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=86236920","layer":1},{"info":"compute binary expreesion, left_input=4220, right_input=86236920, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1092507","layer":0}],"base":9,"result_base":9,"text":"(⊽⋋%⋟1758)≎⊠⪸⋋%⋟10052⊋⋋%⋟4535=⋋%⋟2044566","reverse_text":"⋋%⋟2044566=(⊽⋋%⋟1758)≎⊠⪸⋋%⋟10052⊋⋋%⋟4535","cot":[{"info":"⊽⋋%⋟1758=⋋%⋟5708","layer":1},{"info":"⋋%⋟10052⊋⋋%⋟4535=⋋%⋟200237730","layer":1},{"info":"⋋%⋟5708≎⊠⪸⋋%⋟200237730=⋋%⋟2044566","layer":0}]}
+{"id":610,"expression_no_base_symbol":"(⨣⨃⇪$7759$)⊋$3562$⩦$3502$","expression":"(⨣⨃⇪⋋%⋟11571)⊋⋋%⋟4787⩦⋋%⋟4721","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":11418,"operation_count":3,"complexity_ratio":3806.0,"tree":{"type":"binary","operator":"⊋","left_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"numeric_atoms","value":7759,"base":9}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":3562,"base":9},"right_expr":{"type":"numeric_atoms","value":3502,"base":9}}},"used_operators":["W4tP9CfskL","AcOhelriW5","0kmYd0q39Y"],"dependent_operators":["2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q"],"result":"⋋%⋟-738216148","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=7759","layer":2},{"info":"compute unary expreesion, input=7759, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":1},{"info":"number node, value=3562","layer":2},{"info":"number node, value=3502","layer":2},{"info":"compute binary expreesion, left_input=3562, right_input=3502, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=7124","layer":1},{"info":"compute binary expreesion, left_input=1405, right_input=7124, 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=-320056640","layer":0}],"base":9,"result_base":9,"text":"(⨣⨃⇪⋋%⋟11571)⊋⋋%⋟4787⩦⋋%⋟4721=⋋%⋟-738216148","reverse_text":"⋋%⋟-738216148=(⨣⨃⇪⋋%⋟11571)⊋⋋%⋟4787⩦⋋%⋟4721","cot":[{"info":"⨣⨃⇪⋋%⋟11571=⋋%⋟1831","layer":1},{"info":"⋋%⋟4787⩦⋋%⋟4721=⋋%⋟10685","layer":1},{"info":"⋋%⋟1831⊋⋋%⋟10685=⋋%⋟-738216148","layer":0}]}
+{"id":611,"expression_no_base_symbol":"(⇺⋃$2687$)⇩","expression":"(⇺⋃⋋%⋟3615)⇩","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":56,"operation_count":2,"complexity_ratio":28.0,"tree":{"type":"unary","operator":"⇩","unary_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"numeric_atoms","value":2687,"base":9}}},"used_operators":["vRio1gEz1j","E5v5B3UAjG"],"dependent_operators":["W4YGzv6Whe","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=2687","layer":2},{"info":"compute unary expreesion, input=2687, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = vRio1gEz1j, unary_op_definition = 'a⇩ = { (a+93) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(⇺⋃⋋%⋟3615)⇩=NaN","reverse_text":"NaN=(⇺⋃⋋%⋟3615)⇩","cot":[{"info":"⇺⋃⋋%⋟3615=NaN","layer":1},{"info":"NaN⇩=NaN","layer":0}]}
+{"id":612,"expression_no_base_symbol":"(⇉-⫰$6199$)⩧⪆(⇈$2560$)","expression":"(⇉-⫰⋋%⋟8447)⩧⪆(⇈⋋%⋟3454)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1026,"operation_count":3,"complexity_ratio":342.0,"tree":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"numeric_atoms","value":6199,"base":9}},"right_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"numeric_atoms","value":2560,"base":9}}},"used_operators":["Ikt5ks8PT7","IGFM8TAlm9","SLLxy00UIr"],"dependent_operators":["eewbuw0ToL","t8gj7n24qd","eH2TOUuTDT","eewbuw0ToL","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ"],"result":"⋋%⋟546","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=6199","layer":2},{"info":"compute unary expreesion, input=6199, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":1},{"info":"number node, value=2560","layer":2},{"info":"compute unary expreesion, input=2560, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":1},{"info":"compute binary expreesion, left_input=20, right_input=-447, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=447","layer":0}],"base":9,"result_base":9,"text":"(⇉-⫰⋋%⋟8447)⩧⪆(⇈⋋%⋟3454)=⋋%⋟546","reverse_text":"⋋%⋟546=(⇉-⫰⋋%⋟8447)⩧⪆(⇈⋋%⋟3454)","cot":[{"info":"⇉-⫰⋋%⋟8447=⋋%⋟22","layer":1},{"info":"⇈⋋%⋟3454=⋋%⋟-546","layer":1},{"info":"⋋%⋟22⩧⪆⋋%⋟-546=⋋%⋟546","layer":0}]}
+{"id":613,"expression_no_base_symbol":"($7663$⫥∨⫟$5523$)⪮%⊝($1819$⋩≍≻)","expression":"(⋋%⋟11454⫥∨⫟⋋%⋟7516)⪮%⊝(⋋%⋟2441⋩≍≻)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":172,"operation_count":3,"complexity_ratio":57.333333333333336,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":7663,"base":9},"right_expr":{"type":"numeric_atoms","value":5523,"base":9}},"right_expr":{"type":"unary","operator":"⋩≍≻","unary_expr":{"type":"numeric_atoms","value":1819,"base":9}}},"used_operators":["IWmyXbctLI","KYD54nUTWz","WYd1w68Nbz"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","8HhzD0ZcuI","rGHVDoGpnC","P8v4zCKN1o","Noe24qw2ks","mqXw5SEYmG","IWmyXbctLI","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=7663","layer":2},{"info":"number node, value=5523","layer":2},{"info":"compute binary expreesion, left_input=7663, right_input=5523, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=1819","layer":2},{"info":"compute unary expreesion, input=1819, op_id = WYd1w68Nbz, unary_op_definition = 'a⋩≍≻ = { (∥⊫(a⊭↱21)) , if a>=390 ; ((a⨐a)⫸⊐(a⪮%⊝a)) , else }', output=-55","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-55, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟11454⫥∨⫟⋋%⋟7516)⪮%⊝(⋋%⋟2441⋩≍≻)=NaN","reverse_text":"NaN=(⋋%⋟11454⫥∨⫟⋋%⋟7516)⪮%⊝(⋋%⋟2441⋩≍≻)","cot":[{"info":"⋋%⋟11454⫥∨⫟⋋%⋟7516=NaN","layer":1},{"info":"⋋%⋟2441⋩≍≻=⋋%⋟-61","layer":1},{"info":"NaN⪮%⊝⋋%⋟-61=NaN","layer":0}]}
+{"id":614,"expression_no_base_symbol":"$3151$⫉⨲⊜$1367$⫒⫫($1613$≃$1312$)","expression":"⋋%⋟4281⫉⨲⊜⋋%⋟1778⫒⫫(⋋%⋟2182≃⋋%⋟1717)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":65,"operation_count":3,"complexity_ratio":21.666666666666668,"tree":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":3151,"base":9},"right_expr":{"type":"numeric_atoms","value":1367,"base":9}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":1613,"base":9},"right_expr":{"type":"numeric_atoms","value":1312,"base":9}}},"used_operators":["6Ko8hGgeMq","WhqkvtTD3t","YbVcJGFEVW"],"dependent_operators":["jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","eewbuw0ToL","zVYPLywUTj","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C"],"result":"⋋%⋟135","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3151","layer":2},{"info":"number node, value=1367","layer":2},{"info":"compute binary expreesion, left_input=3151, right_input=1367, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":1},{"info":"number node, value=1613","layer":2},{"info":"number node, value=1312","layer":2},{"info":"compute binary expreesion, left_input=1613, right_input=1312, 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=-6492","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-6492, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=113","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟4281⫉⨲⊜⋋%⋟1778⫒⫫(⋋%⋟2182≃⋋%⋟1717)=⋋%⋟135","reverse_text":"⋋%⋟135=⋋%⋟4281⫉⨲⊜⋋%⋟1778⫒⫫(⋋%⋟2182≃⋋%⋟1717)","cot":[{"info":"⋋%⋟4281⫉⨲⊜⋋%⋟1778=⋋%⋟0","layer":1},{"info":"⋋%⋟2182≃⋋%⋟1717=⋋%⋟-8813","layer":1},{"info":"⋋%⋟0⫒⫫⋋%⋟-8813=⋋%⋟135","layer":0}]}
+{"id":615,"expression_no_base_symbol":"($7112$∈)⪪($4991$⊭↱$1116$)","expression":"(⋋%⋟10672∈)⪪(⋋%⋟6755⊭↱⋋%⋟1470)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":62151,"operation_count":3,"complexity_ratio":20717.0,"tree":{"type":"binary","operator":"⪪","left_expr":{"type":"unary","operator":"∈","unary_expr":{"type":"numeric_atoms","value":7112,"base":9}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":4991,"base":9},"right_expr":{"type":"numeric_atoms","value":1116,"base":9}}},"used_operators":["xD69zh8xqp","ztP7wcbY7m","COABgblf1C"],"dependent_operators":["FU0Cs4j7VP","JclMnS0uGI","rysDP5nf3Z","XPYlsWDdGa","8w2t5hMYqp","f6k1SAg4EE","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd"],"result":"⋋%⋟-5770032","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=7112","layer":2},{"info":"compute unary expreesion, input=7112, op_id = ztP7wcbY7m, unary_op_definition = 'a∈ = { ((⊄⩳↩250)-(a⊦⊿)) , if ((⪲⇎a)>320 or (a⪒777)>25 or a!=39) ; a , else }', output=20665","layer":1},{"info":"number node, value=4991","layer":2},{"info":"number node, value=1116","layer":2},{"info":"compute binary expreesion, left_input=4991, right_input=1116, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-7745","layer":1},{"info":"compute binary expreesion, left_input=20665, right_input=-7745, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-3116504","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟10672∈)⪪(⋋%⋟6755⊭↱⋋%⋟1470)=⋋%⋟-5770032","reverse_text":"⋋%⋟-5770032=(⋋%⋟10672∈)⪪(⋋%⋟6755⊭↱⋋%⋟1470)","cot":[{"info":"⋋%⋟10672∈=⋋%⋟31311","layer":1},{"info":"⋋%⋟6755⊭↱⋋%⋟1470=⋋%⋟-11555","layer":1},{"info":"⋋%⋟31311⪪⋋%⋟-11555=⋋%⋟-5770032","layer":0}]}
+{"id":616,"expression_no_base_symbol":"$1024$⋥⋵⩄$3651$+⇶⊼($1304$⫦⪉$1691$)","expression":"⋋%⋟1357⋥⋵⩄⋋%⋟5006+⇶⊼(⋋%⋟1708⫦⪉⋋%⋟2278)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":49,"operation_count":3,"complexity_ratio":16.333333333333332,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":1024,"base":9},"right_expr":{"type":"numeric_atoms","value":3651,"base":9}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":1304,"base":9},"right_expr":{"type":"numeric_atoms","value":1691,"base":9}}},"used_operators":["TpPTUOHfaN","7t3wd0Fuz7","wscyQdcy20"],"dependent_operators":["AHs5Up7iyr","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1024","layer":2},{"info":"number node, value=3651","layer":2},{"info":"compute binary expreesion, left_input=1024, right_input=3651, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":1},{"info":"number node, value=1304","layer":2},{"info":"number node, value=1691","layer":2},{"info":"compute binary expreesion, left_input=1304, right_input=1691, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=2292","layer":1},{"info":"compute binary expreesion, left_input=113, right_input=2292, 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":9,"result_base":9,"text":"⋋%⋟1357⋥⋵⩄⋋%⋟5006+⇶⊼(⋋%⋟1708⫦⪉⋋%⋟2278)=NaN","reverse_text":"NaN=⋋%⋟1357⋥⋵⩄⋋%⋟5006+⇶⊼(⋋%⋟1708⫦⪉⋋%⋟2278)","cot":[{"info":"⋋%⋟1357⋥⋵⩄⋋%⋟5006=⋋%⋟135","layer":1},{"info":"⋋%⋟1708⫦⪉⋋%⋟2278=⋋%⋟3126","layer":1},{"info":"⋋%⋟135+⇶⊼⋋%⋟3126=NaN","layer":0}]}
+{"id":617,"expression_no_base_symbol":"($2964$≑≱⪘)⩒⫫($2223$∪⫐$2867$)","expression":"(⋋%⋟4053≑≱⪘)⩒⫫(⋋%⋟3040∪⫐⋋%⋟3835)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":134,"operation_count":3,"complexity_ratio":44.666666666666664,"tree":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"unary","operator":"≑≱⪘","unary_expr":{"type":"numeric_atoms","value":2964,"base":9}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":2223,"base":9},"right_expr":{"type":"numeric_atoms","value":2867,"base":9}}},"used_operators":["KFSx94NKJn","tGSeddj7UK","7YooWSwCyH"],"dependent_operators":["NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn","rJVOvQCfKK","2DDjHMKMc0"],"result":"⋋%⋟121272","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2964","layer":2},{"info":"compute unary expreesion, input=2964, 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=73429","layer":1},{"info":"number node, value=2223","layer":2},{"info":"number node, value=2867","layer":2},{"info":"compute binary expreesion, left_input=2223, right_input=2867, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=2223","layer":1},{"info":"compute binary expreesion, left_input=73429, right_input=2223, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=73127","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟4053≑≱⪘)⩒⫫(⋋%⋟3040∪⫐⋋%⋟3835)=⋋%⋟121272","reverse_text":"⋋%⋟121272=(⋋%⋟4053≑≱⪘)⩒⫫(⋋%⋟3040∪⫐⋋%⋟3835)","cot":[{"info":"⋋%⋟4053≑≱⪘=⋋%⋟121647","layer":1},{"info":"⋋%⋟3040∪⫐⋋%⋟3835=⋋%⋟3040","layer":1},{"info":"⋋%⋟121647⩒⫫⋋%⋟3040=⋋%⋟121272","layer":0}]}
+{"id":618,"expression_no_base_symbol":"$2070$⪕$2583$⪊≅","expression":"⋋%⋟2750⪕⋋%⋟3480⪊≅","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":14,"operation_count":2,"complexity_ratio":7.0,"tree":{"type":"unary","operator":"⪊≅","unary_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":2070,"base":9},"right_expr":{"type":"numeric_atoms","value":2583,"base":9}}},"used_operators":["bjFbhXSADs","umQnsF7QlU"],"dependent_operators":["COABgblf1C","JLbD19bQDL","nCS4ZIUYfx","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF"],"result":"⋋%⋟0","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=2070","layer":2},{"info":"number node, value=2583","layer":2},{"info":"compute binary expreesion, left_input=2070, right_input=2583, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=2458","layer":1},{"info":"compute unary expreesion, input=2458, op_id = bjFbhXSADs, unary_op_definition = 'a⪊≅ = { (377⪠⩆⊳) , if (a⊭↱876)>=867 ; (a⨳⩥⨓a) , else }', output=0","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟2750⪕⋋%⋟3480⪊≅=⋋%⋟0","reverse_text":"⋋%⋟0=⋋%⋟2750⪕⋋%⋟3480⪊≅","cot":[{"info":"⋋%⋟2750⪕⋋%⋟3480=⋋%⋟3331","layer":1},{"info":"⋋%⋟3331⪊≅=⋋%⋟0","layer":0}]}
+{"id":619,"expression_no_base_symbol":"($1098$⩨$4010$)⫢⨠($5639$⋘⨑⨽)","expression":"(⋋%⋟1450⩨⋋%⋟5445)⫢⨠(⋋%⋟7655⋘⨑⨽)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":81,"operation_count":3,"complexity_ratio":27.0,"tree":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1098,"base":9},"right_expr":{"type":"numeric_atoms","value":4010,"base":9}},"right_expr":{"type":"unary","operator":"⋘⨑⨽","unary_expr":{"type":"numeric_atoms","value":5639,"base":9}}},"used_operators":["xlXykHWxX1","2DlMacCsIx","WmT3o8z6ya"],"dependent_operators":["KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","DpFCA1CohY","N41Kp7NANJ","8w2t5hMYqp","QMFrweE19q"],"result":"⋋%⋟187","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1098","layer":2},{"info":"number node, value=4010","layer":2},{"info":"compute binary expreesion, left_input=1098, right_input=4010, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-9","layer":1},{"info":"number node, value=5639","layer":2},{"info":"compute unary expreesion, input=5639, op_id = WmT3o8z6ya, unary_op_definition = 'a⋘⨑⨽ = { ((a⫡⨏a)+(a≋⫹)) , if (⊄⩳↩a)!=44 ; (⋗⩬⋾(394+a)) , else }', output=28978","layer":1},{"info":"compute binary expreesion, left_input=-9, right_input=28978, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟1450⩨⋋%⋟5445)⫢⨠(⋋%⋟7655⋘⨑⨽)=⋋%⋟187","reverse_text":"⋋%⋟187=(⋋%⋟1450⩨⋋%⋟5445)⫢⨠(⋋%⋟7655⋘⨑⨽)","cot":[{"info":"⋋%⋟1450⩨⋋%⋟5445=⋋%⋟-10","layer":1},{"info":"⋋%⋟7655⋘⨑⨽=⋋%⋟43667","layer":1},{"info":"⋋%⋟-10⫢⨠⋋%⋟43667=⋋%⋟187","layer":0}]}
+{"id":620,"expression_no_base_symbol":"$4264$↳∿⪆$1636$↬($2501$⩒⫫$1662$)","expression":"⋋%⋟5757↳∿⪆⋋%⋟2217↬(⋋%⋟3378⩒⫫⋋%⋟2246)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2422,"operation_count":3,"complexity_ratio":807.3333333333334,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":4264,"base":9},"right_expr":{"type":"numeric_atoms","value":1636,"base":9}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":2501,"base":9},"right_expr":{"type":"numeric_atoms","value":1662,"base":9}}},"used_operators":["B5M0gjZbta","Cw4SuJJGHO","KFSx94NKJn"],"dependent_operators":["rGHVDoGpnC","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=4264","layer":2},{"info":"number node, value=1636","layer":2},{"info":"compute binary expreesion, left_input=4264, right_input=1636, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":1},{"info":"number node, value=2501","layer":2},{"info":"number node, value=1662","layer":2},{"info":"compute binary expreesion, left_input=2501, right_input=1662, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=2199","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2199, 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":9,"result_base":9,"text":"⋋%⋟5757↳∿⪆⋋%⋟2217↬(⋋%⋟3378⩒⫫⋋%⋟2246)=NaN","reverse_text":"NaN=⋋%⋟5757↳∿⪆⋋%⋟2217↬(⋋%⋟3378⩒⫫⋋%⋟2246)","cot":[{"info":"⋋%⋟5757↳∿⪆⋋%⋟2217=NaN","layer":1},{"info":"⋋%⋟3378⩒⫫⋋%⋟2246=⋋%⋟3013","layer":1},{"info":"NaN↬⋋%⋟3013=NaN","layer":0}]}
+{"id":621,"expression_no_base_symbol":"(⊄⩳↩$1125$)⨒$1309$↡⊰⫅$1329$","expression":"(⊄⩳↩⋋%⋟1480)⨒⋋%⋟1714↡⊰⫅⋋%⋟1736","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":18641,"operation_count":3,"complexity_ratio":6213.666666666667,"tree":{"type":"binary","operator":"⨒","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1125,"base":9}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":1309,"base":9},"right_expr":{"type":"numeric_atoms","value":1329,"base":9}}},"used_operators":["y75s1iXyHd","8w2t5hMYqp","VCtxkLNOzz"],"dependent_operators":["srAu1WTS94","oacrs7FA3X","7qqUquhhSb","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn"],"result":"⋋%⋟1","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1125","layer":2},{"info":"compute unary expreesion, input=1125, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-3375","layer":1},{"info":"number node, value=1309","layer":2},{"info":"number node, value=1329","layer":2},{"info":"compute binary expreesion, left_input=1309, right_input=1329, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=2658","layer":1},{"info":"compute binary expreesion, left_input=-3375, right_input=2658, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=1","layer":0}],"base":9,"result_base":9,"text":"(⊄⩳↩⋋%⋟1480)⨒⋋%⋟1714↡⊰⫅⋋%⋟1736=⋋%⋟1","reverse_text":"⋋%⋟1=(⊄⩳↩⋋%⋟1480)⨒⋋%⋟1714↡⊰⫅⋋%⋟1736","cot":[{"info":"⊄⩳↩⋋%⋟1480=⋋%⋟-4560","layer":1},{"info":"⋋%⋟1714↡⊰⫅⋋%⋟1736=⋋%⋟3573","layer":1},{"info":"⋋%⋟-4560⨒⋋%⋟3573=⋋%⋟1","layer":0}]}
+{"id":622,"expression_no_base_symbol":"($2217$⫑%∭)⨟⋌⩍(⫓⪴$3790$)","expression":"(⋋%⋟3033⫑%∭)⨟⋌⩍(⫓⪴⋋%⋟5171)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4760,"operation_count":3,"complexity_ratio":1586.6666666666667,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⫑%∭","unary_expr":{"type":"numeric_atoms","value":2217,"base":9}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":3790,"base":9}}},"used_operators":["rGHVDoGpnC","xUx7qlDO4z","eLxqMNBOBk"],"dependent_operators":["Tcnh7f0tEr","GODebY97qR","qWUSsah53b","XhwjNDsVaA","oZj3VtZNQx","KYD54nUTWz","nREPSIbpBE","rGHVDoGpnC","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2217","layer":2},{"info":"compute unary expreesion, input=2217, op_id = xUx7qlDO4z, unary_op_definition = 'a⫑%∭ = { (((a⨟⋌⩍23)⫥∨⫟(a≀⫉a))/((a⨚141)⪟⇏(⫡⇟⇯a))) }', output=nan","layer":1},{"info":"number node, value=3790","layer":2},{"info":"compute unary expreesion, input=3790, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=14364100","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=14364100, 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":0}],"base":9,"result_base":9,"text":"(⋋%⋟3033⫑%∭)⨟⋌⩍(⫓⪴⋋%⋟5171)=NaN","reverse_text":"NaN=(⋋%⋟3033⫑%∭)⨟⋌⩍(⫓⪴⋋%⋟5171)","cot":[{"info":"⋋%⋟3033⫑%∭=NaN","layer":1},{"info":"⫓⪴⋋%⋟5171=⋋%⋟30022751","layer":1},{"info":"NaN⨟⋌⩍⋋%⋟30022751=NaN","layer":0}]}
+{"id":623,"expression_no_base_symbol":"($2718$⨪↰⇹$2824$)∇⊂⋱($4826$⪕$1608$)","expression":"(⋋%⋟3650⨪↰⇹⋋%⋟3777)∇⊂⋱(⋋%⋟6552⪕⋋%⋟2176)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2742,"operation_count":3,"complexity_ratio":914.0,"tree":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2718,"base":9},"right_expr":{"type":"numeric_atoms","value":2824,"base":9}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":4826,"base":9},"right_expr":{"type":"numeric_atoms","value":1608,"base":9}}},"used_operators":["nhYeJWJD5X","tmPS8pqC7x","umQnsF7QlU"],"dependent_operators":["P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","rJVOvQCfKK","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF"],"result":"⋋%⋟6633","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2718","layer":2},{"info":"number node, value=2824","layer":2},{"info":"compute binary expreesion, left_input=2718, right_input=2824, 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=2718","layer":1},{"info":"number node, value=4826","layer":2},{"info":"number node, value=1608","layer":2},{"info":"compute binary expreesion, left_input=4826, right_input=1608, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=8945","layer":1},{"info":"compute binary expreesion, left_input=2718, right_input=8945, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=4890","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟3650⨪↰⇹⋋%⋟3777)∇⊂⋱(⋋%⋟6552⪕⋋%⋟2176)=⋋%⋟6633","reverse_text":"⋋%⋟6633=(⋋%⋟3650⨪↰⇹⋋%⋟3777)∇⊂⋱(⋋%⋟6552⪕⋋%⋟2176)","cot":[{"info":"⋋%⋟3650⨪↰⇹⋋%⋟3777=⋋%⋟3650","layer":1},{"info":"⋋%⋟6552⪕⋋%⋟2176=⋋%⋟13238","layer":1},{"info":"⋋%⋟3650∇⊂⋱⋋%⋟13238=⋋%⋟6633","layer":0}]}
+{"id":624,"expression_no_base_symbol":"(↓⇌$1635$)⩷∴(⊗$1090$)","expression":"(↓⇌⋋%⋟2216)⩷∴(⊗⋋%⋟1441)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":31,"operation_count":3,"complexity_ratio":10.333333333333334,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"numeric_atoms","value":1635,"base":9}},"right_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"numeric_atoms","value":1090,"base":9}}},"used_operators":["9FxExcQeMw","PxpmPgHHJV","RhiyfpczSx"],"dependent_operators":["rysDP5nf3Z","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U"],"result":"⋋%⋟11372","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1635","layer":2},{"info":"compute unary expreesion, input=1635, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=1635","layer":1},{"info":"number node, value=1090","layer":2},{"info":"compute unary expreesion, input=1090, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-2180","layer":1},{"info":"compute binary expreesion, left_input=1635, right_input=-2180, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=7598","layer":0}],"base":9,"result_base":9,"text":"(↓⇌⋋%⋟2216)⩷∴(⊗⋋%⋟1441)=⋋%⋟11372","reverse_text":"⋋%⋟11372=(↓⇌⋋%⋟2216)⩷∴(⊗⋋%⋟1441)","cot":[{"info":"↓⇌⋋%⋟2216=⋋%⋟2216","layer":1},{"info":"⊗⋋%⋟1441=⋋%⋟-2882","layer":1},{"info":"⋋%⋟2216⩷∴⋋%⋟-2882=⋋%⋟11372","layer":0}]}
+{"id":625,"expression_no_base_symbol":"($1316$⊵↤)⊉↱≁(↨$4031$)","expression":"(⋋%⋟1722⊵↤)⊉↱≁(↨⋋%⋟5468)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":216,"operation_count":3,"complexity_ratio":72.0,"tree":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"unary","operator":"⊵↤","unary_expr":{"type":"numeric_atoms","value":1316,"base":9}},"right_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"numeric_atoms","value":4031,"base":9}}},"used_operators":["w2P8NbNXyL","7IPrd9c3lf","jiX4gk2v2Q"],"dependent_operators":["9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","eLAdDNolq6","W4YGzv6Whe","9FxExcQeMw","Qy55tPpLXF","BjRHVeLaeN","tifHPKVTfV","2DDjHMKMc0","f6k1SAg4EE","Z2TMIBDE3Q","eewbuw0ToL","QMFrweE19q","rGHVDoGpnC","oZj3VtZNQx"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1316","layer":2},{"info":"compute unary expreesion, input=1316, 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":1},{"info":"number node, value=4031","layer":2},{"info":"compute unary expreesion, input=4031, 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 = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟1722⊵↤)⊉↱≁(↨⋋%⋟5468)=NaN","reverse_text":"NaN=(⋋%⋟1722⊵↤)⊉↱≁(↨⋋%⋟5468)","cot":[{"info":"⋋%⋟1722⊵↤=⋋%⋟74","layer":1},{"info":"↨⋋%⋟5468=NaN","layer":1},{"info":"⋋%⋟74⊉↱≁NaN=NaN","layer":0}]}
+{"id":626,"expression_no_base_symbol":"↑($1002$⨵⪆$7334$)","expression":"↑(⋋%⋟1333⨵⪆⋋%⋟11048)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":45,"operation_count":2,"complexity_ratio":22.5,"tree":{"type":"unary","operator":"↑","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1002,"base":9},"right_expr":{"type":"numeric_atoms","value":7334,"base":9}}},"used_operators":["tR7O2zTn5j","2DQ55sFlQl"],"dependent_operators":["oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd"],"result":"⋋%⋟233","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1002","layer":2},{"info":"number node, value=7334","layer":2},{"info":"compute binary expreesion, left_input=1002, right_input=7334, 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 = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":0}],"base":9,"result_base":9,"text":"↑(⋋%⋟1333⨵⪆⋋%⋟11048)=⋋%⋟233","reverse_text":"⋋%⋟233=↑(⋋%⋟1333⨵⪆⋋%⋟11048)","cot":[{"info":"⋋%⋟1333⨵⪆⋋%⋟11048=⋋%⋟187","layer":1},{"info":"↑⋋%⋟187=⋋%⋟233","layer":0}]}
+{"id":627,"expression_no_base_symbol":"$1097$⫞⩸⩒$1050$≄⊠$3237$⋕⪉⪜$2266$","expression":"⋋%⋟1448⫞⩸⩒⋋%⋟1386≄⊠⋋%⋟4386⋕⪉⪜⋋%⋟3087","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":102,"operation_count":3,"complexity_ratio":34.0,"tree":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":1097,"base":9},"right_expr":{"type":"numeric_atoms","value":1050,"base":9}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":3237,"base":9},"right_expr":{"type":"numeric_atoms","value":2266,"base":9}}},"used_operators":["vXNesLlMH1","XGcMNugi78","z6LnFrNh4i"],"dependent_operators":["d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z"],"result":"⋋%⋟74810","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1097","layer":2},{"info":"number node, value=1050","layer":2},{"info":"compute binary expreesion, left_input=1097, right_input=1050, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=1050","layer":1},{"info":"number node, value=3237","layer":2},{"info":"number node, value=2266","layer":2},{"info":"compute binary expreesion, left_input=3237, right_input=2266, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":1},{"info":"compute binary expreesion, left_input=1050, right_input=2802, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=49500","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟1448⫞⩸⩒⋋%⋟1386≄⊠⋋%⋟4386⋕⪉⪜⋋%⋟3087=⋋%⋟74810","reverse_text":"⋋%⋟74810=⋋%⋟1448⫞⩸⩒⋋%⋟1386≄⊠⋋%⋟4386⋕⪉⪜⋋%⋟3087","cot":[{"info":"⋋%⋟1448⫞⩸⩒⋋%⋟1386=⋋%⋟1386","layer":1},{"info":"⋋%⋟4386⋕⪉⪜⋋%⋟3087=⋋%⋟3753","layer":1},{"info":"⋋%⋟1386≄⊠⋋%⋟3753=⋋%⋟74810","layer":0}]}
+{"id":628,"expression_no_base_symbol":"(↡$2786$)∪⫐$6409$⩇∃⫛$2161$","expression":"(↡⋋%⋟3735)∪⫐⋋%⋟8711⩇∃⫛⋋%⋟2861","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":35,"operation_count":3,"complexity_ratio":11.666666666666666,"tree":{"type":"binary","operator":"∪⫐","left_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"numeric_atoms","value":2786,"base":9}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":6409,"base":9},"right_expr":{"type":"numeric_atoms","value":2161,"base":9}}},"used_operators":["7YooWSwCyH","MXaNJeIAZ3","1aApVXNlOP"],"dependent_operators":["rJVOvQCfKK","2DDjHMKMc0","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG"],"result":"⋋%⋟37350","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2786","layer":2},{"info":"compute unary expreesion, input=2786, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=25074","layer":1},{"info":"number node, value=6409","layer":2},{"info":"number node, value=2161","layer":2},{"info":"compute binary expreesion, left_input=6409, right_input=2161, 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=-3775","layer":1},{"info":"compute binary expreesion, left_input=25074, right_input=-3775, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=25074","layer":0}],"base":9,"result_base":9,"text":"(↡⋋%⋟3735)∪⫐⋋%⋟8711⩇∃⫛⋋%⋟2861=⋋%⋟37350","reverse_text":"⋋%⋟37350=(↡⋋%⋟3735)∪⫐⋋%⋟8711⩇∃⫛⋋%⋟2861","cot":[{"info":"↡⋋%⋟3735=⋋%⋟37350","layer":1},{"info":"⋋%⋟8711⩇∃⫛⋋%⋟2861=⋋%⋟-5154","layer":1},{"info":"⋋%⋟37350∪⫐⋋%⋟-5154=⋋%⋟37350","layer":0}]}
+{"id":629,"expression_no_base_symbol":"($3169$⊍⩺⋍$4375$)+⪬∐(⇐$2088$)","expression":"(⋋%⋟4311⊍⩺⋍⋋%⋟6001)+⪬∐(⇐⋋%⋟2770)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":258,"operation_count":3,"complexity_ratio":86.0,"tree":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":3169,"base":9},"right_expr":{"type":"numeric_atoms","value":4375,"base":9}},"right_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"numeric_atoms","value":2088,"base":9}}},"used_operators":["2GS7woTJqF","OXDGMFPWZM","nmZMaaE0Q9"],"dependent_operators":["g55IO6H4Gj","D4vGDi5EA2","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=3169","layer":2},{"info":"number node, value=4375","layer":2},{"info":"compute binary expreesion, left_input=3169, right_input=4375, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":1},{"info":"number node, value=2088","layer":2},{"info":"compute unary expreesion, input=2088, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=6238","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=6238, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟4311⊍⩺⋍⋋%⋟6001)+⪬∐(⇐⋋%⋟2770)=NaN","reverse_text":"NaN=(⋋%⋟4311⊍⩺⋍⋋%⋟6001)+⪬∐(⇐⋋%⋟2770)","cot":[{"info":"⋋%⋟4311⊍⩺⋍⋋%⋟6001=NaN","layer":1},{"info":"⇐⋋%⋟2770=⋋%⋟8501","layer":1},{"info":"NaN+⪬∐⋋%⋟8501=NaN","layer":0}]}
+{"id":630,"expression_no_base_symbol":"($1411$⫒⫫$1706$)⨜⨶($1282$⋆⋳)","expression":"(⋋%⋟1837⫒⫫⋋%⋟2305)⨜⨶(⋋%⋟1674⋆⋳)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":34,"operation_count":3,"complexity_ratio":11.333333333333334,"tree":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":1411,"base":9},"right_expr":{"type":"numeric_atoms","value":1706,"base":9}},"right_expr":{"type":"unary","operator":"⋆⋳","unary_expr":{"type":"numeric_atoms","value":1282,"base":9}}},"used_operators":["HiPekx5b7W","6Ko8hGgeMq","6MpZysEj17"],"dependent_operators":["N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","9FxExcQeMw","7j4O788W3g","DIvbN7qnHd"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1411","layer":2},{"info":"number node, value=1706","layer":2},{"info":"compute binary expreesion, left_input=1411, right_input=1706, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":1},{"info":"number node, value=1282","layer":2},{"info":"compute unary expreesion, input=1282, op_id = 6MpZysEj17, unary_op_definition = 'a⋆⋳ = { ((a⊠≄⫣)⩷∴(a↺a)) }', output=-2596","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-2596, 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":9,"result_base":9,"text":"(⋋%⋟1837⫒⫫⋋%⋟2305)⨜⨶(⋋%⋟1674⋆⋳)=NaN","reverse_text":"NaN=(⋋%⋟1837⫒⫫⋋%⋟2305)⨜⨶(⋋%⋟1674⋆⋳)","cot":[{"info":"⋋%⋟1837⫒⫫⋋%⋟2305=NaN","layer":1},{"info":"⋋%⋟1674⋆⋳=⋋%⋟-3504","layer":1},{"info":"NaN⨜⨶⋋%⋟-3504=NaN","layer":0}]}
+{"id":631,"expression_no_base_symbol":"($2709$≚⋢)⫁⪎$1000$⩁⩘$1246$","expression":"(⋋%⋟3640≚⋢)⫁⪎⋋%⋟1331⩁⩘⋋%⋟1634","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":122,"operation_count":3,"complexity_ratio":40.666666666666664,"tree":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"unary","operator":"≚⋢","unary_expr":{"type":"numeric_atoms","value":2709,"base":9}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":1000,"base":9},"right_expr":{"type":"numeric_atoms","value":1246,"base":9}}},"used_operators":["xRrnTEsQ6j","MahUMFw56D","gub5Cegaqo"],"dependent_operators":["P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","3ViojmjbAp","DpFCA1CohY","IWmyXbctLI"],"result":"⋋%⋟-8230","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2709","layer":2},{"info":"compute unary expreesion, input=2709, op_id = MahUMFw56D, unary_op_definition = 'a≚⋢ = { (a⨓86) }', output=-89","layer":1},{"info":"number node, value=1000","layer":2},{"info":"number node, value=1246","layer":2},{"info":"compute binary expreesion, left_input=1000, right_input=1246, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=5932","layer":1},{"info":"compute binary expreesion, left_input=-89, right_input=5932, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-6021","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟3640≚⋢)⫁⪎⋋%⋟1331⩁⩘⋋%⋟1634=⋋%⋟-8230","reverse_text":"⋋%⋟-8230=(⋋%⋟3640≚⋢)⫁⪎⋋%⋟1331⩁⩘⋋%⋟1634","cot":[{"info":"⋋%⋟3640≚⋢=⋋%⋟-108","layer":1},{"info":"⋋%⋟1331⩁⩘⋋%⋟1634=⋋%⋟8121","layer":1},{"info":"⋋%⋟-108⫁⪎⋋%⋟8121=⋋%⋟-8230","layer":0}]}
+{"id":632,"expression_no_base_symbol":"⪓⩚($4240$∪⫐$1621$)","expression":"⪓⩚(⋋%⋟5731∪⫐⋋%⋟2201)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3370,"operation_count":2,"complexity_ratio":1685.0,"tree":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":4240,"base":9},"right_expr":{"type":"numeric_atoms","value":1621,"base":9}}},"used_operators":["u0R0Locfp2","7YooWSwCyH"],"dependent_operators":["6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","rJVOvQCfKK","2DDjHMKMc0"],"result":"⋋%⋟523","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=4240","layer":2},{"info":"number node, value=1621","layer":2},{"info":"compute binary expreesion, left_input=4240, right_input=1621, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=4240","layer":1},{"info":"compute unary expreesion, input=4240, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":0}],"base":9,"result_base":9,"text":"⪓⩚(⋋%⋟5731∪⫐⋋%⋟2201)=⋋%⋟523","reverse_text":"⋋%⋟523=⪓⩚(⋋%⋟5731∪⫐⋋%⋟2201)","cot":[{"info":"⋋%⋟5731∪⫐⋋%⋟2201=⋋%⋟5731","layer":1},{"info":"⪓⩚⋋%⋟5731=⋋%⋟523","layer":0}]}
+{"id":633,"expression_no_base_symbol":"$2377$⊴$7282$∽$5356$≎⊠⪸$5452$","expression":"⋋%⋟3231⊴⋋%⋟10881∽⋋%⋟7311≎⊠⪸⋋%⋟7427","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7568,"operation_count":3,"complexity_ratio":2522.6666666666665,"tree":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2377,"base":9},"right_expr":{"type":"numeric_atoms","value":7282,"base":9}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":5356,"base":9},"right_expr":{"type":"numeric_atoms","value":5452,"base":9}}},"used_operators":["y4ImoPnbV5","Nsiff2A1zJ","bJkvcejdHO"],"dependent_operators":["NTOWxs364D","QMFrweE19q","dWAJyo7jo9","14qkJME0vr","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2377","layer":2},{"info":"number node, value=7282","layer":2},{"info":"compute binary expreesion, left_input=2377, right_input=7282, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=5356","layer":2},{"info":"number node, value=5452","layer":2},{"info":"compute binary expreesion, left_input=5356, right_input=5452, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1386731","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1386731, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟3231⊴⋋%⋟10881∽⋋%⋟7311≎⊠⪸⋋%⋟7427=NaN","reverse_text":"NaN=⋋%⋟3231⊴⋋%⋟10881∽⋋%⋟7311≎⊠⪸⋋%⋟7427","cot":[{"info":"⋋%⋟3231⊴⋋%⋟10881=NaN","layer":1},{"info":"⋋%⋟7311≎⊠⪸⋋%⋟7427=⋋%⋟2543212","layer":1},{"info":"NaN∽⋋%⋟2543212=NaN","layer":0}]}
+{"id":634,"expression_no_base_symbol":"($1465$⇣⩺⋵$1060$)↤⩊($1483$≥⨤⩑$2725$)","expression":"(⋋%⋟2007⇣⩺⋵⋋%⋟1407)↤⩊(⋋%⋟2027≥⨤⩑⋋%⋟3657)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":239,"operation_count":3,"complexity_ratio":79.66666666666667,"tree":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":1465,"base":9},"right_expr":{"type":"numeric_atoms","value":1060,"base":9}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":1483,"base":9},"right_expr":{"type":"numeric_atoms","value":2725,"base":9}}},"used_operators":["13rbtpv6ld","F4yD0voBRQ","gJLn6v0xnP"],"dependent_operators":["s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1465","layer":2},{"info":"number node, value=1060","layer":2},{"info":"compute binary expreesion, left_input=1465, right_input=1060, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":1},{"info":"number node, value=1483","layer":2},{"info":"number node, value=2725","layer":2},{"info":"compute binary expreesion, left_input=1483, right_input=2725, 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=-260, right_input=1234, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟2007⇣⩺⋵⋋%⋟1407)↤⩊(⋋%⋟2027≥⨤⩑⋋%⋟3657)=NaN","reverse_text":"NaN=(⋋%⋟2007⇣⩺⋵⋋%⋟1407)↤⩊(⋋%⋟2027≥⨤⩑⋋%⋟3657)","cot":[{"info":"⋋%⋟2007⇣⩺⋵⋋%⋟1407=⋋%⋟-318","layer":1},{"info":"⋋%⋟2027≥⨤⩑⋋%⋟3657=⋋%⋟1621","layer":1},{"info":"⋋%⋟-318↤⩊⋋%⋟1621=NaN","layer":0}]}
+{"id":635,"expression_no_base_symbol":"(⇋⊎⋝$3514$)⩠","expression":"(⇋⊎⋝⋋%⋟4734)⩠","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3532,"operation_count":2,"complexity_ratio":1766.0,"tree":{"type":"unary","operator":"⩠","unary_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"numeric_atoms","value":3514,"base":9}}},"used_operators":["sJAwomhLZr","CzM2PEoXns"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=3514","layer":2},{"info":"compute unary expreesion, input=3514, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', 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":9,"result_base":9,"text":"(⇋⊎⋝⋋%⋟4734)⩠=NaN","reverse_text":"NaN=(⇋⊎⋝⋋%⋟4734)⩠","cot":[{"info":"⇋⊎⋝⋋%⋟4734=NaN","layer":1},{"info":"NaN⩠=NaN","layer":0}]}
+{"id":636,"expression_no_base_symbol":"⇵⪽($1637$∘$1596$)","expression":"⇵⪽(⋋%⋟2218∘⋋%⋟2163)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3,"operation_count":2,"complexity_ratio":1.5,"tree":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":1637,"base":9},"right_expr":{"type":"numeric_atoms","value":1596,"base":9}}},"used_operators":["ZGCBLdVRRX","Z5m6OM72h2"],"dependent_operators":["U7g4x0WXJJ","eH2TOUuTDT","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1637","layer":2},{"info":"number node, value=1596","layer":2},{"info":"compute binary expreesion, left_input=1637, right_input=1596, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=3274","layer":1},{"info":"compute unary expreesion, input=3274, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"⇵⪽(⋋%⋟2218∘⋋%⋟2163)=NaN","reverse_text":"NaN=⇵⪽(⋋%⋟2218∘⋋%⋟2163)","cot":[{"info":"⋋%⋟2218∘⋋%⋟2163=⋋%⋟4437","layer":1},{"info":"⇵⪽⋋%⋟4437=NaN","layer":0}]}
+{"id":637,"expression_no_base_symbol":"($6881$⪄$1812$)⊔$1112$⩖⊿$2192$","expression":"(⋋%⋟10385⪄⋋%⋟2433)⊔⋋%⋟1465⩖⊿⋋%⋟3005","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":142,"operation_count":3,"complexity_ratio":47.333333333333336,"tree":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":6881,"base":9},"right_expr":{"type":"numeric_atoms","value":1812,"base":9}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":1112,"base":9},"right_expr":{"type":"numeric_atoms","value":2192,"base":9}}},"used_operators":["E4l6HwMY31","SUmda5xLS4","RZ5CV9rWsJ"],"dependent_operators":["W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA"],"result":"⋋%⋟7675313","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=6881","layer":2},{"info":"number node, value=1812","layer":2},{"info":"compute binary expreesion, left_input=6881, right_input=1812, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-1021725","layer":1},{"info":"number node, value=1112","layer":2},{"info":"number node, value=2192","layer":2},{"info":"compute binary expreesion, left_input=1112, right_input=2192, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=13006","layer":1},{"info":"compute binary expreesion, left_input=-1021725, right_input=13006, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=4124208","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟10385⪄⋋%⋟2433)⊔⋋%⋟1465⩖⊿⋋%⋟3005=⋋%⋟7675313","reverse_text":"⋋%⋟7675313=(⋋%⋟10385⪄⋋%⋟2433)⊔⋋%⋟1465⩖⊿⋋%⋟3005","cot":[{"info":"⋋%⋟10385⪄⋋%⋟2433=⋋%⋟-1826480","layer":1},{"info":"⋋%⋟1465⩖⊿⋋%⋟3005=⋋%⋟18751","layer":1},{"info":"⋋%⋟-1826480⊔⋋%⋟18751=⋋%⋟7675313","layer":0}]}
+{"id":638,"expression_no_base_symbol":"($1144$⨎$3177$)⨚⇆($1802$⫽⇹≛)","expression":"(⋋%⋟1511⨎⋋%⋟4320)⨚⇆(⋋%⋟2422⫽⇹≛)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":22292,"operation_count":3,"complexity_ratio":7430.666666666667,"tree":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1144,"base":9},"right_expr":{"type":"numeric_atoms","value":3177,"base":9}},"right_expr":{"type":"unary","operator":"⫽⇹≛","unary_expr":{"type":"numeric_atoms","value":1802,"base":9}}},"used_operators":["lwHaAYXP2r","rJVOvQCfKK","NNaDxxp6OQ"],"dependent_operators":["gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","KbjG8mgYpV","AdZkA7nFnk","IWmyXbctLI"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1144","layer":2},{"info":"number node, value=3177","layer":2},{"info":"compute binary expreesion, left_input=1144, right_input=3177, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3177","layer":1},{"info":"number node, value=1802","layer":2},{"info":"compute unary expreesion, input=1802, op_id = NNaDxxp6OQ, unary_op_definition = 'a⫽⇹≛ = { ((113⋅⇍170)⪮%⊝(a∠↢a)) }', output=272","layer":1},{"info":"compute binary expreesion, left_input=3177, right_input=272, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟1511⨎⋋%⋟4320)⨚⇆(⋋%⋟2422⫽⇹≛)=NaN","reverse_text":"NaN=(⋋%⋟1511⨎⋋%⋟4320)⨚⇆(⋋%⋟2422⫽⇹≛)","cot":[{"info":"⋋%⋟1511⨎⋋%⋟4320=⋋%⋟4320","layer":1},{"info":"⋋%⋟2422⫽⇹≛=⋋%⋟332","layer":1},{"info":"⋋%⋟4320⨚⇆⋋%⋟332=NaN","layer":0}]}
+{"id":639,"expression_no_base_symbol":"↽≂(⨴⫝$7960$)","expression":"↽≂(⨴⫝⋋%⋟11824)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1822,"operation_count":2,"complexity_ratio":911.0,"tree":{"type":"unary","operator":"↽≂","unary_expr":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"numeric_atoms","value":7960,"base":9}}},"used_operators":["u6S6b8DprG","SVb2v531z1"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf"],"result":"⋋%⋟-11571104","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=7960","layer":2},{"info":"compute unary expreesion, input=7960, 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":1},{"info":"compute unary expreesion, input=2828198, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-5656396","layer":0}],"base":9,"result_base":9,"text":"↽≂(⨴⫝⋋%⋟11824)=⋋%⋟-11571104","reverse_text":"⋋%⋟-11571104=↽≂(⨴⫝⋋%⋟11824)","cot":[{"info":"⨴⫝⋋%⋟11824=⋋%⋟5280502","layer":1},{"info":"↽≂⋋%⋟5280502=⋋%⋟-11571104","layer":0}]}
+{"id":640,"expression_no_base_symbol":"(∥⊫$3314$)⊮⊟↴($1408$⇄$6830$)","expression":"(∥⊫⋋%⋟4482)⊮⊟↴(⋋%⋟1834⇄⋋%⋟10328)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":51,"operation_count":3,"complexity_ratio":17.0,"tree":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":3314,"base":9}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":1408,"base":9},"right_expr":{"type":"numeric_atoms","value":6830,"base":9}}},"used_operators":["QDVgd2eftb","P8v4zCKN1o","3EYGwJThht"],"dependent_operators":["XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI"],"result":"⋋%⋟0","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=3314","layer":2},{"info":"compute unary expreesion, input=3314, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=4182","layer":1},{"info":"number node, value=1408","layer":2},{"info":"number node, value=6830","layer":2},{"info":"compute binary expreesion, left_input=1408, right_input=6830, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=4182, right_input=0, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":0}],"base":9,"result_base":9,"text":"(∥⊫⋋%⋟4482)⊮⊟↴(⋋%⋟1834⇄⋋%⋟10328)=⋋%⋟0","reverse_text":"⋋%⋟0=(∥⊫⋋%⋟4482)⊮⊟↴(⋋%⋟1834⇄⋋%⋟10328)","cot":[{"info":"∥⊫⋋%⋟4482=⋋%⋟5656","layer":1},{"info":"⋋%⋟1834⇄⋋%⋟10328=⋋%⋟0","layer":1},{"info":"⋋%⋟5656⊮⊟↴⋋%⋟0=⋋%⋟0","layer":0}]}
+{"id":641,"expression_no_base_symbol":"$3213$⪒$3285$∕⩚$2091$⨑⩅≇$1793$","expression":"⋋%⋟4360⪒⋋%⋟4450∕⩚⋋%⋟2773⨑⩅≇⋋%⋟2412","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1865,"operation_count":3,"complexity_ratio":621.6666666666666,"tree":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3213,"base":9},"right_expr":{"type":"numeric_atoms","value":3285,"base":9}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":2091,"base":9},"right_expr":{"type":"numeric_atoms","value":1793,"base":9}}},"used_operators":["z9ffQ9n5Zr","f6k1SAg4EE","h92wMvzauj"],"dependent_operators":["3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","W4YGzv6Whe","t8gj7n24qd","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq"],"result":"⋋%⋟-601","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3213","layer":2},{"info":"number node, value=3285","layer":2},{"info":"compute binary expreesion, left_input=3213, right_input=3285, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6498","layer":1},{"info":"number node, value=2091","layer":2},{"info":"number node, value=1793","layer":2},{"info":"compute binary expreesion, left_input=2091, right_input=1793, 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=-6273","layer":1},{"info":"compute binary expreesion, left_input=-6498, right_input=-6273, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟4360⪒⋋%⋟4450∕⩚⋋%⋟2773⨑⩅≇⋋%⋟2412=⋋%⋟-601","reverse_text":"⋋%⋟-601=⋋%⋟4360⪒⋋%⋟4450∕⩚⋋%⋟2773⨑⩅≇⋋%⋟2412","cot":[{"info":"⋋%⋟4360⪒⋋%⋟4450=⋋%⋟-8820","layer":1},{"info":"⋋%⋟2773⨑⩅≇⋋%⋟2412=⋋%⋟-8540","layer":1},{"info":"⋋%⋟-8820∕⩚⋋%⋟-8540=⋋%⋟-601","layer":0}]}
+{"id":642,"expression_no_base_symbol":"⩦⩻⨪$1049$⪚$6480$","expression":"⩦⩻⨪⋋%⋟1385⪚⋋%⋟8800","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":24,"operation_count":2,"complexity_ratio":12.0,"tree":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":1049,"base":9},"right_expr":{"type":"numeric_atoms","value":6480,"base":9}}},"used_operators":["2td37pGCOC","HrjLwUk87U"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0"],"result":"⋋%⋟-16344","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1049","layer":2},{"info":"number node, value=6480","layer":2},{"info":"compute binary expreesion, left_input=1049, right_input=6480, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-11218","layer":1},{"info":"compute unary expreesion, input=-11218, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-11218","layer":0}],"base":9,"result_base":9,"text":"⩦⩻⨪⋋%⋟1385⪚⋋%⋟8800=⋋%⋟-16344","reverse_text":"⋋%⋟-16344=⩦⩻⨪⋋%⋟1385⪚⋋%⋟8800","cot":[{"info":"⋋%⋟1385⪚⋋%⋟8800=⋋%⋟-16344","layer":1},{"info":"⩦⩻⨪⋋%⋟-16344=⋋%⋟-16344","layer":0}]}
+{"id":643,"expression_no_base_symbol":"($2700$≭$1892$)⊎←↗","expression":"(⋋%⋟3630≭⋋%⋟2532)⊎←↗","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":12,"operation_count":2,"complexity_ratio":6.0,"tree":{"type":"unary","operator":"⊎←↗","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2700,"base":9},"right_expr":{"type":"numeric_atoms","value":1892,"base":9}}},"used_operators":["dwb5p0fa6d","rxpJgHHUmx"],"dependent_operators":["sdazOOVcIp","COABgblf1C","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=2700","layer":2},{"info":"number node, value=1892","layer":2},{"info":"compute binary expreesion, left_input=2700, right_input=1892, 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 = dwb5p0fa6d, unary_op_definition = 'a⊎←↗ = { (a⊭↱340) , if (a⪨≂940)!=203 ; (a⊭↱a) , else }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟3630≭⋋%⋟2532)⊎←↗=NaN","reverse_text":"NaN=(⋋%⋟3630≭⋋%⋟2532)⊎←↗","cot":[{"info":"⋋%⋟3630≭⋋%⋟2532=NaN","layer":1},{"info":"NaN⊎←↗=NaN","layer":0}]}
+{"id":644,"expression_no_base_symbol":"($1128$⋅⇍$7944$)⇍⊗($1055$⊢)","expression":"(⋋%⋟1483⋅⇍⋋%⋟11806)⇍⊗(⋋%⋟1402⊢)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":465,"operation_count":3,"complexity_ratio":155.0,"tree":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":1128,"base":9},"right_expr":{"type":"numeric_atoms","value":7944,"base":9}},"right_expr":{"type":"unary","operator":"⊢","unary_expr":{"type":"numeric_atoms","value":1055,"base":9}}},"used_operators":["5uvYHDjeKN","AdZkA7nFnk","40aOVDgCDB"],"dependent_operators":["Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","NTOWxs364D"],"result":"⋋%⋟-301","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1128","layer":2},{"info":"number node, value=7944","layer":2},{"info":"compute binary expreesion, left_input=1128, right_input=7944, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":1},{"info":"number node, value=1055","layer":2},{"info":"compute unary expreesion, input=1055, op_id = 40aOVDgCDB, unary_op_definition = 'a⊢ = { a , if a<=675 ; (a⩚⊴⇥126) , else }', output=-1302","layer":1},{"info":"compute binary expreesion, left_input=-22, right_input=-1302, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟1483⋅⇍⋋%⋟11806)⇍⊗(⋋%⋟1402⊢)=⋋%⋟-301","reverse_text":"⋋%⋟-301=(⋋%⋟1483⋅⇍⋋%⋟11806)⇍⊗(⋋%⋟1402⊢)","cot":[{"info":"⋋%⋟1483⋅⇍⋋%⋟11806=⋋%⋟-24","layer":1},{"info":"⋋%⋟1402⊢=⋋%⋟-1706","layer":1},{"info":"⋋%⋟-24⇍⊗⋋%⋟-1706=⋋%⋟-301","layer":0}]}
+{"id":645,"expression_no_base_symbol":"⇈($1939$⊨$2879$)","expression":"⇈(⋋%⋟2584⊨⋋%⋟3848)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1027,"operation_count":2,"complexity_ratio":513.5,"tree":{"type":"unary","operator":"⇈","unary_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":1939,"base":9},"right_expr":{"type":"numeric_atoms","value":2879,"base":9}}},"used_operators":["SLLxy00UIr","vg4gO5BX6G"],"dependent_operators":["Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP"],"result":"⋋%⋟-546","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1939","layer":2},{"info":"number node, value=2879","layer":2},{"info":"compute binary expreesion, left_input=1939, right_input=2879, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=8787","layer":1},{"info":"compute unary expreesion, input=8787, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":0}],"base":9,"result_base":9,"text":"⇈(⋋%⋟2584⊨⋋%⋟3848)=⋋%⋟-546","reverse_text":"⋋%⋟-546=⇈(⋋%⋟2584⊨⋋%⋟3848)","cot":[{"info":"⋋%⋟2584⊨⋋%⋟3848=⋋%⋟13043","layer":1},{"info":"⇈⋋%⋟13043=⋋%⋟-546","layer":0}]}
+{"id":646,"expression_no_base_symbol":"($1119$+⇶⊼$2461$)↬$7798$⨑⩅≇$2276$","expression":"(⋋%⋟1473+⇶⊼⋋%⋟3334)↬⋋%⋟11624⨑⩅≇⋋%⋟3108","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2330,"operation_count":3,"complexity_ratio":776.6666666666666,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1119,"base":9},"right_expr":{"type":"numeric_atoms","value":2461,"base":9}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":7798,"base":9},"right_expr":{"type":"numeric_atoms","value":2276,"base":9}}},"used_operators":["B5M0gjZbta","TpPTUOHfaN","h92wMvzauj"],"dependent_operators":["rGHVDoGpnC","AHs5Up7iyr","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1119","layer":2},{"info":"number node, value=2461","layer":2},{"info":"compute binary expreesion, left_input=1119, right_input=2461, 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=7798","layer":2},{"info":"number node, value=2276","layer":2},{"info":"compute binary expreesion, left_input=7798, 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=-23394","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-23394, 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":9,"result_base":9,"text":"(⋋%⋟1473+⇶⊼⋋%⋟3334)↬⋋%⋟11624⨑⩅≇⋋%⋟3108=NaN","reverse_text":"NaN=(⋋%⋟1473+⇶⊼⋋%⋟3334)↬⋋%⋟11624⨑⩅≇⋋%⋟3108","cot":[{"info":"⋋%⋟1473+⇶⊼⋋%⋟3334=NaN","layer":1},{"info":"⋋%⋟11624⨑⩅≇⋋%⋟3108=⋋%⋟-35073","layer":1},{"info":"NaN↬⋋%⋟-35073=NaN","layer":0}]}
+{"id":647,"expression_no_base_symbol":"($6219$⫰⋱$6453$)⊉↱≁($4106$∀⋜↑)","expression":"(⋋%⋟8470⫰⋱⋋%⋟8760)⊉↱≁(⋋%⋟5562∀⋜↑)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":39,"operation_count":3,"complexity_ratio":13.0,"tree":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":6219,"base":9},"right_expr":{"type":"numeric_atoms","value":6453,"base":9}},"right_expr":{"type":"unary","operator":"∀⋜↑","unary_expr":{"type":"numeric_atoms","value":4106,"base":9}}},"used_operators":["w2P8NbNXyL","6o9Blt3TJ6","KipPnG1M2J"],"dependent_operators":["9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","eLAdDNolq6","23Mk6UjR3U","f6k1SAg4EE"],"result":"⋋%⋟-101354","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=6219","layer":2},{"info":"number node, value=6453","layer":2},{"info":"compute binary expreesion, left_input=6219, right_input=6453, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-6186","layer":1},{"info":"number node, value=4106","layer":2},{"info":"compute unary expreesion, input=4106, op_id = KipPnG1M2J, unary_op_definition = 'a∀⋜↑ = { ((≤/a)⪒(a⋷a)) }', output=-484","layer":1},{"info":"compute binary expreesion, left_input=-6186, right_input=-484, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-60070","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟8470⫰⋱⋋%⋟8760)⊉↱≁(⋋%⋟5562∀⋜↑)=⋋%⋟-101354","reverse_text":"⋋%⋟-101354=(⋋%⋟8470⫰⋱⋋%⋟8760)⊉↱≁(⋋%⋟5562∀⋜↑)","cot":[{"info":"⋋%⋟8470⫰⋱⋋%⋟8760=⋋%⋟-8433","layer":1},{"info":"⋋%⋟5562∀⋜↑=⋋%⋟-587","layer":1},{"info":"⋋%⋟-8433⊉↱≁⋋%⋟-587=⋋%⋟-101354","layer":0}]}
+{"id":648,"expression_no_base_symbol":"($9712$⊉≛↸$3304$)⊬⫿⊭","expression":"(⋋%⋟14281⊉≛↸⋋%⋟4471)⊬⫿⊭","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":18,"operation_count":2,"complexity_ratio":9.0,"tree":{"type":"unary","operator":"⊬⫿⊭","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":9712,"base":9},"right_expr":{"type":"numeric_atoms","value":3304,"base":9}}},"used_operators":["v0DYgG9ikt","DZ8iAZOCBD"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","7j4O788W3g","8w2t5hMYqp","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⋋%⋟-87836","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=9712","layer":2},{"info":"number node, value=3304","layer":2},{"info":"compute binary expreesion, left_input=9712, right_input=3304, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=19424","layer":1},{"info":"compute unary expreesion, input=19424, op_id = v0DYgG9ikt, unary_op_definition = 'a⊬⫿⊭ = { ((⨑⩽⪐(≤/a))↺((⨞⊢a)⨰(↽≂188))) , if a<119 ; (((∥⊫a)⨳⩥⨓(a⨵⪆a))↺(⊄⩳↩(a⋝⋈⪟a))) , else }', output=-58272","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟14281⊉≛↸⋋%⋟4471)⊬⫿⊭=⋋%⋟-87836","reverse_text":"⋋%⋟-87836=(⋋%⋟14281⊉≛↸⋋%⋟4471)⊬⫿⊭","cot":[{"info":"⋋%⋟14281⊉≛↸⋋%⋟4471=⋋%⋟28572","layer":1},{"info":"⋋%⋟28572⊬⫿⊭=⋋%⋟-87836","layer":0}]}
+{"id":649,"expression_no_base_symbol":"($5691$⋘⨑⨽)⊉↱≁$1700$⪝$1402$","expression":"(⋋%⋟7723⋘⨑⨽)⊉↱≁⋋%⋟2288⪝⋋%⋟1827","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":460,"operation_count":3,"complexity_ratio":153.33333333333334,"tree":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"unary","operator":"⋘⨑⨽","unary_expr":{"type":"numeric_atoms","value":5691,"base":9}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":1700,"base":9},"right_expr":{"type":"numeric_atoms","value":1402,"base":9}}},"used_operators":["w2P8NbNXyL","WmT3o8z6ya","wicAB68Tmb"],"dependent_operators":["9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","W4YGzv6Whe","DpFCA1CohY","N41Kp7NANJ","8w2t5hMYqp","QMFrweE19q","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X"],"result":"⋋%⋟510075","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=5691","layer":2},{"info":"compute unary expreesion, input=5691, op_id = WmT3o8z6ya, unary_op_definition = 'a⋘⨑⨽ = { ((a⫡⨏a)+(a≋⫹)) , if (⊄⩳↩a)!=44 ; (⋗⩬⋾(394+a)) , else }', output=29238","layer":1},{"info":"number node, value=1700","layer":2},{"info":"number node, value=1402","layer":2},{"info":"compute binary expreesion, left_input=1700, right_input=1402, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-1591","layer":1},{"info":"compute binary expreesion, left_input=29238, right_input=-1591, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=301874","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟7723⋘⨑⨽)⊉↱≁⋋%⋟2288⪝⋋%⋟1827=⋋%⋟510075","reverse_text":"⋋%⋟510075=(⋋%⋟7723⋘⨑⨽)⊉↱≁⋋%⋟2288⪝⋋%⋟1827","cot":[{"info":"⋋%⋟7723⋘⨑⨽=⋋%⋟44086","layer":1},{"info":"⋋%⋟2288⪝⋋%⋟1827=⋋%⋟-2157","layer":1},{"info":"⋋%⋟44086⊉↱≁⋋%⋟-2157=⋋%⋟510075","layer":0}]}
+{"id":650,"expression_no_base_symbol":"(⫖→$1353$)∕⩚($2504$⩘⨬⇊)","expression":"(⫖→⋋%⋟1763)∕⩚(⋋%⋟3382⩘⨬⇊)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2847,"operation_count":3,"complexity_ratio":949.0,"tree":{"type":"binary","operator":"∕⩚","left_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"numeric_atoms","value":1353,"base":9}},"right_expr":{"type":"unary","operator":"⩘⨬⇊","unary_expr":{"type":"numeric_atoms","value":2504,"base":9}}},"used_operators":["z9ffQ9n5Zr","U4ylXWHChL","XXmTpEpWTW"],"dependent_operators":["3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","rxpJgHHUmx","HnzytWxmAO","8cLx32lpNA"],"result":"⋋%⋟-601","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1353","layer":2},{"info":"compute unary expreesion, input=1353, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":1},{"info":"number node, value=2504","layer":2},{"info":"compute unary expreesion, input=2504, op_id = XXmTpEpWTW, unary_op_definition = 'a⩘⨬⇊ = { ((a⇴∐a)∌(a≭31)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=177, right_input=nan, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":0}],"base":9,"result_base":9,"text":"(⫖→⋋%⋟1763)∕⩚(⋋%⋟3382⩘⨬⇊)=⋋%⋟-601","reverse_text":"⋋%⋟-601=(⫖→⋋%⋟1763)∕⩚(⋋%⋟3382⩘⨬⇊)","cot":[{"info":"⫖→⋋%⋟1763=⋋%⋟216","layer":1},{"info":"⋋%⋟3382⩘⨬⇊=NaN","layer":1},{"info":"⋋%⋟216∕⩚NaN=⋋%⋟-601","layer":0}]}
+{"id":651,"expression_no_base_symbol":"($1920$⨘⋶⪀)⪬(⋼∭⪍$5780$)","expression":"(⋋%⋟2563⨘⋶⪀)⪬(⋼∭⪍⋋%⋟7832)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":661,"operation_count":3,"complexity_ratio":220.33333333333334,"tree":{"type":"binary","operator":"⪬","left_expr":{"type":"unary","operator":"⨘⋶⪀","unary_expr":{"type":"numeric_atoms","value":1920,"base":9}},"right_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"numeric_atoms","value":5780,"base":9}}},"used_operators":["Ez1Nq5fNfI","XVKwrhznBb","DbCuESL50I"],"dependent_operators":["eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","TpPTUOHfaN","FyVja0WsTP","UqFzSgLMvQ","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG"],"result":"⋋%⋟1621","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1920","layer":2},{"info":"compute unary expreesion, input=1920, op_id = XVKwrhznBb, unary_op_definition = 'a⨘⋶⪀ = { ((326+⇶⊼a)⊱⇼⊻(a⇡)) }', output=nan","layer":1},{"info":"number node, value=5780","layer":2},{"info":"compute unary expreesion, input=5780, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-21380","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-21380, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟2563⨘⋶⪀)⪬(⋼∭⪍⋋%⋟7832)=⋋%⋟1621","reverse_text":"⋋%⋟1621=(⋋%⋟2563⨘⋶⪀)⪬(⋼∭⪍⋋%⋟7832)","cot":[{"info":"⋋%⋟2563⨘⋶⪀=NaN","layer":1},{"info":"⋼∭⪍⋋%⋟7832=⋋%⋟-32285","layer":1},{"info":"NaN⪬⋋%⋟-32285=⋋%⋟1621","layer":0}]}
+{"id":652,"expression_no_base_symbol":"(↞≼$1560$)∛($7607$⫒⫫$1062$)","expression":"(↞≼⋋%⋟2123)∛(⋋%⋟11382⫒⫫⋋%⋟1410)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":68,"operation_count":3,"complexity_ratio":22.666666666666668,"tree":{"type":"binary","operator":"∛","left_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"numeric_atoms","value":1560,"base":9}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":7607,"base":9},"right_expr":{"type":"numeric_atoms","value":1062,"base":9}}},"used_operators":["w2537kitQq","DE7zCoGJt9","6Ko8hGgeMq"],"dependent_operators":["DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T"],"result":"⋋%⋟74","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1560","layer":2},{"info":"compute unary expreesion, input=1560, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=12066","layer":1},{"info":"number node, value=7607","layer":2},{"info":"number node, value=1062","layer":2},{"info":"compute binary expreesion, left_input=7607, right_input=1062, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=12066, 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":0}],"base":9,"result_base":9,"text":"(↞≼⋋%⋟2123)∛(⋋%⋟11382⫒⫫⋋%⋟1410)=⋋%⋟74","reverse_text":"⋋%⋟74=(↞≼⋋%⋟2123)∛(⋋%⋟11382⫒⫫⋋%⋟1410)","cot":[{"info":"↞≼⋋%⋟2123=⋋%⋟17486","layer":1},{"info":"⋋%⋟11382⫒⫫⋋%⋟1410=NaN","layer":1},{"info":"⋋%⋟17486∛NaN=⋋%⋟74","layer":0}]}
+{"id":653,"expression_no_base_symbol":"($1504$⋭≵$2948$)⨕⋳","expression":"(⋋%⋟2051⋭≵⋋%⋟4035)⨕⋳","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":148,"operation_count":2,"complexity_ratio":74.0,"tree":{"type":"unary","operator":"⨕⋳","unary_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":1504,"base":9},"right_expr":{"type":"numeric_atoms","value":2948,"base":9}}},"used_operators":["4X4GscPmMf","jBncVCNhdl"],"dependent_operators":["9bazX3JMtO","nhYeJWJD5X","DbCuESL50I","3EYGwJThht","w2P8NbNXyL","uFcxV4UQCh","bJkvcejdHO","BUOGQAYlQx","cTDWOvIxvz","hrf7POJlIJ","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C"],"result":"⋋%⋟-172637","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1504","layer":2},{"info":"number node, value=2948","layer":2},{"info":"compute binary expreesion, left_input=1504, right_input=2948, 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 = 4X4GscPmMf, unary_op_definition = 'a⨕⋳ = { ((⋼∭⪍(a∴a))⊉↱≁(⋂(a↹⊜60))) , if (a∝72)!=68 ; (((a≎⊠⪸503)⇄(a∇⊂⋱a))⪛a) , else }', output=-106954","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟2051⋭≵⋋%⋟4035)⨕⋳=⋋%⋟-172637","reverse_text":"⋋%⋟-172637=(⋋%⋟2051⋭≵⋋%⋟4035)⨕⋳","cot":[{"info":"⋋%⋟2051⋭≵⋋%⋟4035=⋋%���74","layer":1},{"info":"⋋%⋟74⨕⋳=⋋%⋟-172637","layer":0}]}
+{"id":654,"expression_no_base_symbol":"($1364$⨔≚≋$1479$)⋕⪉⪜(⇨$2232$)","expression":"(⋋%⋟1775⨔≚≋⋋%⋟2023)⋕⪉⪜(⇨⋋%⋟3050)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":79,"operation_count":3,"complexity_ratio":26.333333333333332,"tree":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":1364,"base":9},"right_expr":{"type":"numeric_atoms","value":1479,"base":9}},"right_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"numeric_atoms","value":2232,"base":9}}},"used_operators":["z6LnFrNh4i","Z57zeUYC9z","G9tJMlZ94a"],"dependent_operators":["sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","k8jYdgA6NY"],"result":"⋋%⋟3753","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1364","layer":2},{"info":"number node, value=1479","layer":2},{"info":"compute binary expreesion, left_input=1364, right_input=1479, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":1},{"info":"number node, value=2232","layer":2},{"info":"compute unary expreesion, input=2232, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=9872, right_input=0, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟1775⨔≚≋⋋%⋟2023)⋕⪉⪜(⇨⋋%⋟3050)=⋋%⋟3753","reverse_text":"⋋%⋟3753=(⋋%⋟1775⨔≚≋⋋%⋟2023)⋕⪉⪜(⇨⋋%⋟3050)","cot":[{"info":"⋋%⋟1775⨔≚≋⋋%⋟2023=⋋%⋟14478","layer":1},{"info":"⇨⋋%⋟3050=⋋%⋟0","layer":1},{"info":"⋋%⋟14478⋕⪉⪜⋋%⋟0=⋋%⋟3753","layer":0}]}
+{"id":655,"expression_no_base_symbol":"($1727$⊦⊿)⪮%⊝($1438$≄⊠$3853$)","expression":"(⋋%⋟2328⊦⊿)⪮%⊝(⋋%⋟1867≄⊠⋋%⋟5251)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":73,"operation_count":3,"complexity_ratio":24.333333333333332,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":1727,"base":9}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":1438,"base":9},"right_expr":{"type":"numeric_atoms","value":3853,"base":9}}},"used_operators":["IWmyXbctLI","14qkJME0vr","vXNesLlMH1"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI"],"result":"⋋%⋟-14887","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1727","layer":2},{"info":"compute unary expreesion, input=1727, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-5260","layer":1},{"info":"number node, value=1438","layer":2},{"info":"number node, value=3853","layer":2},{"info":"compute binary expreesion, left_input=1438, right_input=3853, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=66316","layer":1},{"info":"compute binary expreesion, left_input=-5260, right_input=66316, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-10204","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟2328⊦⊿)⪮%⊝(⋋%⋟1867≄⊠⋋%⋟5251)=⋋%⋟-14887","reverse_text":"⋋%⋟-14887=(⋋%⋟2328⊦⊿)⪮%⊝(⋋%⋟1867≄⊠⋋%⋟5251)","cot":[{"info":"⋋%⋟2328⊦⊿=⋋%⋟-7184","layer":1},{"info":"⋋%⋟1867≄⊠⋋%⋟5251=⋋%⋟110864","layer":1},{"info":"⋋%⋟-7184⪮%⊝⋋%⋟110864=⋋%⋟-14887","layer":0}]}
+{"id":656,"expression_no_base_symbol":"∓⪦($1119$∠⫱$2907$)","expression":"∓⪦(⋋%⋟1473∠⫱⋋%⋟3880)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":36,"operation_count":2,"complexity_ratio":18.0,"tree":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":1119,"base":9},"right_expr":{"type":"numeric_atoms","value":2907,"base":9}}},"used_operators":["D309nIvmXG","QvoQhV0rrE"],"dependent_operators":["P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP"],"result":"⋋%⋟1117","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1119","layer":2},{"info":"number node, value=2907","layer":2},{"info":"compute binary expreesion, left_input=1119, right_input=2907, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":1},{"info":"compute unary expreesion, input=1234, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=826","layer":0}],"base":9,"result_base":9,"text":"∓⪦(⋋%⋟1473∠⫱⋋%⋟3880)=⋋%⋟1117","reverse_text":"⋋%⋟1117=∓⪦(⋋%⋟1473∠⫱⋋%⋟3880)","cot":[{"info":"⋋%⋟1473∠⫱⋋%⋟3880=⋋%⋟1621","layer":1},{"info":"∓⪦⋋%⋟1621=⋋%⋟1117","layer":0}]}
+{"id":657,"expression_no_base_symbol":"⇈($1581$⩁)","expression":"⇈(⋋%⋟2146⩁)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1037,"operation_count":2,"complexity_ratio":518.5,"tree":{"type":"unary","operator":"⇈","unary_expr":{"type":"unary","operator":"⩁","unary_expr":{"type":"numeric_atoms","value":1581,"base":9}}},"used_operators":["SLLxy00UIr","5GqDbVmqXU"],"dependent_operators":["Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","7j4O788W3g","jLgFTUHLKL","8cLx32lpNA"],"result":"⋋%⋟-546","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1581","layer":2},{"info":"compute unary expreesion, input=1581, op_id = 5GqDbVmqXU, unary_op_definition = 'a⩁ = { ((↩a)∌(a↺a)) }', output=-9868","layer":1},{"info":"compute unary expreesion, input=-9868, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":0}],"base":9,"result_base":9,"text":"⇈(⋋%⋟2146⩁)=⋋%⋟-546","reverse_text":"⋋%⋟-546=⇈(⋋%⋟2146⩁)","cot":[{"info":"⋋%⋟2146⩁=⋋%⋟-14474","layer":1},{"info":"⇈⋋%⋟-14474=⋋%⋟-546","layer":0}]}
+{"id":658,"expression_no_base_symbol":"($2067$↸$2939$)⫯⪬∳($4555$⇟⨁⪰)","expression":"(⋋%⋟2746↸⋋%⋟4025)⫯⪬∳(⋋%⋟6221⇟⨁⪰)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2085,"operation_count":3,"complexity_ratio":695.0,"tree":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":2067,"base":9},"right_expr":{"type":"numeric_atoms","value":2939,"base":9}},"right_expr":{"type":"unary","operator":"⇟⨁⪰","unary_expr":{"type":"numeric_atoms","value":4555,"base":9}}},"used_operators":["d7ASUq0ydm","1eCjFl0mb9","BX1lVwlMe0"],"dependent_operators":["Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","2DDjHMKMc0","xUOZtlo3hN"],"result":"⋋%⋟8534","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2067","layer":2},{"info":"number node, value=2939","layer":2},{"info":"compute binary expreesion, left_input=2067, right_input=2939, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=2067","layer":1},{"info":"number node, value=4555","layer":2},{"info":"compute unary expreesion, input=4555, op_id = BX1lVwlMe0, unary_op_definition = 'a⇟⨁⪰ = { (⨞⊢(a⋝⋈⪟a)) }', output=-4729","layer":1},{"info":"compute binary expreesion, left_input=2067, right_input=-4729, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=6268","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟2746↸⋋%⋟4025)⫯⪬∳(⋋%⋟6221⇟⨁⪰)=⋋%⋟8534","reverse_text":"⋋%⋟8534=(⋋%⋟2746↸⋋%⋟4025)⫯⪬∳(⋋%⋟6221⇟⨁⪰)","cot":[{"info":"⋋%⋟2746↸⋋%⋟4025=⋋%⋟2746","layer":1},{"info":"⋋%⋟6221⇟⨁⪰=⋋%⋟-6434","layer":1},{"info":"⋋%⋟2746⫯⪬∳⋋%⋟-6434=⋋%⋟8534","layer":0}]}
+{"id":659,"expression_no_base_symbol":"⇉-⫰(⇈$1880$)","expression":"⇉-⫰(⇈⋋%⋟2518)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1025,"operation_count":2,"complexity_ratio":512.5,"tree":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"numeric_atoms","value":1880,"base":9}}},"used_operators":["IGFM8TAlm9","SLLxy00UIr"],"dependent_operators":["eH2TOUuTDT","eewbuw0ToL","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ"],"result":"⋋%⋟22","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1880","layer":2},{"info":"compute unary expreesion, input=1880, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":1},{"info":"compute unary expreesion, input=-447, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":0}],"base":9,"result_base":9,"text":"⇉-⫰(⇈⋋%⋟2518)=⋋%⋟22","reverse_text":"⋋%⋟22=⇉-⫰(⇈⋋%⋟2518)","cot":[{"info":"⇈⋋%⋟2518=⋋%⋟-546","layer":1},{"info":"⇉-⫰⋋%⋟-546=⋋%⋟22","layer":0}]}
+{"id":660,"expression_no_base_symbol":"($8292$��⫱$3020$)≹⇙⪍$4320$≁↽≥$2516$","expression":"(⋋%⋟12333∠⫱⋋%⋟4125)≹⇙⪍⋋%⋟5830≁↽≥⋋%⋟3405","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":34,"operation_count":3,"complexity_ratio":11.333333333333334,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":8292,"base":9},"right_expr":{"type":"numeric_atoms","value":3020,"base":9}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":4320,"base":9},"right_expr":{"type":"numeric_atoms","value":2516,"base":9}}},"used_operators":["AHs5Up7iyr","QvoQhV0rrE","ncHt1X6cMc"],"dependent_operators":["dWAJyo7jo9","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","oWn0xqSxBt","3Oe9XWJUTD"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=8292","layer":2},{"info":"number node, value=3020","layer":2},{"info":"compute binary expreesion, left_input=8292, right_input=3020, 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=4320","layer":2},{"info":"number node, value=2516","layer":2},{"info":"compute binary expreesion, left_input=4320, right_input=2516, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=60972","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=60972, 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":9,"result_base":9,"text":"(⋋%⋟12333∠⫱⋋%⋟4125)≹⇙⪍⋋%⋟5830≁↽≥⋋%⋟3405=NaN","reverse_text":"NaN=(⋋%⋟12333∠⫱⋋%⋟4125)≹⇙⪍⋋%⋟5830≁↽≥⋋%⋟3405","cot":[{"info":"⋋%⋟12333∠⫱⋋%⋟4125=⋋%⋟1621","layer":1},{"info":"⋋%⋟5830≁↽≥⋋%⋟3405=⋋%⋟102566","layer":1},{"info":"⋋%⋟1621≹⇙⪍⋋%⋟102566=NaN","layer":0}]}
+{"id":661,"expression_no_base_symbol":"($1637$⇷$1054$)⨟⋌⩍(⪓⩚$1957$)","expression":"(⋋%⋟2218⇷⋋%⋟1401)⨟⋌⩍(⪓⩚⋋%⋟2614)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":28504,"operation_count":3,"complexity_ratio":9501.333333333334,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1637,"base":9},"right_expr":{"type":"numeric_atoms","value":1054,"base":9}},"right_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"numeric_atoms","value":1957,"base":9}}},"used_operators":["rGHVDoGpnC","mp7IySMOzn","u0R0Locfp2"],"dependent_operators":["Tcnh7f0tEr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ"],"result":"⋋%⋟0","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1637","layer":2},{"info":"number node, value=1054","layer":2},{"info":"compute binary expreesion, left_input=1637, right_input=1054, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2108","layer":1},{"info":"number node, value=1957","layer":2},{"info":"compute unary expreesion, input=1957, 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=2108, right_input=426, 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":0}],"base":9,"result_base":9,"text":"(⋋%⋟2218⇷⋋%⋟1401)⨟⋌⩍(⪓⩚⋋%⋟2614)=⋋%⋟0","reverse_text":"⋋%⋟0=(⋋%⋟2218⇷⋋%⋟1401)⨟⋌⩍(⪓⩚⋋%⋟2614)","cot":[{"info":"⋋%⋟2218⇷⋋%⋟1401=⋋%⋟2802","layer":1},{"info":"⪓⩚⋋%⋟2614=⋋%⋟523","layer":1},{"info":"⋋%⋟2802⨟⋌⩍⋋%⋟523=⋋%⋟0","layer":0}]}
+{"id":662,"expression_no_base_symbol":"$4349$∺≝⩲$1803$∟","expression":"⋋%⋟5862∺≝⩲⋋%⋟2423∟","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":64,"operation_count":2,"complexity_ratio":32.0,"tree":{"type":"unary","operator":"∟","unary_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":4349,"base":9},"right_expr":{"type":"numeric_atoms","value":1803,"base":9}}},"used_operators":["hTbEZDJLEm","KPf6cnQVty"],"dependent_operators":["KPf6cnQVty","zVYPLywUTj","AFVx7xoS7T","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl"],"result":"⋋%⋟135","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=4349","layer":2},{"info":"number node, value=1803","layer":2},{"info":"compute binary expreesion, left_input=4349, right_input=1803, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":1},{"info":"compute unary expreesion, input=160, op_id = hTbEZDJLEm, unary_op_definition = 'a∟ = { ((58∺≝⩲a)⇌⫙⪟(a⊪)) }', output=113","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟5862∺≝⩲⋋%⋟2423∟=⋋%⋟135","reverse_text":"⋋%⋟135=⋋%⋟5862∺≝⩲⋋%⋟2423∟","cot":[{"info":"⋋%⋟5862∺≝⩲⋋%⋟2423=⋋%⋟187","layer":1},{"info":"⋋%⋟187∟=⋋%⋟135","layer":0}]}
+{"id":663,"expression_no_base_symbol":"(∓$7768$)⊹∫⫚($7997$⪉⨛$1648$)","expression":"(∓⋋%⋟11581)⊹∫⫚(⋋%⋟11865⪉⨛⋋%⋟2231)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":278,"operation_count":3,"complexity_ratio":92.66666666666667,"tree":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"numeric_atoms","value":7768,"base":9}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":7997,"base":9},"right_expr":{"type":"numeric_atoms","value":1648,"base":9}}},"used_operators":["uWAJUKEvyW","OwUj7dcsQK","EWw2JM7wp4"],"dependent_operators":["BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL"],"result":"⋋%⋟-62","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=7768","layer":2},{"info":"compute unary expreesion, input=7768, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-121392","layer":1},{"info":"number node, value=7997","layer":2},{"info":"number node, value=1648","layer":2},{"info":"compute binary expreesion, left_input=7997, right_input=1648, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=22558","layer":1},{"info":"compute binary expreesion, left_input=-121392, right_input=22558, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-56","layer":0}],"base":9,"result_base":9,"text":"(∓⋋%⋟11581)⊹∫⫚(⋋%⋟11865⪉⨛⋋%⋟2231)=⋋%⋟-62","reverse_text":"⋋%⋟-62=(∓⋋%⋟11581)⊹∫⫚(⋋%⋟11865⪉⨛⋋%⋟2231)","cot":[{"info":"∓⋋%⋟11581=⋋%⋟-204460","layer":1},{"info":"⋋%⋟11865⪉⨛⋋%⋟2231=⋋%⋟33844","layer":1},{"info":"⋋%⋟-204460⊹∫⫚⋋%⋟33844=⋋%⋟-62","layer":0}]}
+{"id":664,"expression_no_base_symbol":"(⩪∧⨌$2845$)≦↸(≤/$1687$)","expression":"(⩪∧⨌⋋%⋟3811)≦↸(≤/⋋%⋟2274)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":32,"operation_count":3,"complexity_ratio":10.666666666666666,"tree":{"type":"binary","operator":"≦↸","left_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"numeric_atoms","value":2845,"base":9}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1687,"base":9}}},"used_operators":["RygbFNSyEJ","6iOiAJX1F8","eLAdDNolq6"],"dependent_operators":["eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","rysDP5nf3Z"],"result":"⋋%⋟-42074","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2845","layer":2},{"info":"compute unary expreesion, input=2845, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=28450","layer":1},{"info":"number node, value=1687","layer":2},{"info":"compute unary expreesion, input=1687, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1203","layer":1},{"info":"compute binary expreesion, left_input=28450, right_input=-1203, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-27769","layer":0}],"base":9,"result_base":9,"text":"(⩪∧⨌⋋%⋟3811)≦↸(≤/⋋%⋟2274)=⋋%⋟-42074","reverse_text":"⋋%⋟-42074=(⩪∧⨌⋋%⋟3811)≦↸(≤/⋋%⋟2274)","cot":[{"info":"⩪∧⨌⋋%⋟3811=⋋%⋟43021","layer":1},{"info":"≤/⋋%⋟2274=⋋%⋟-1576","layer":1},{"info":"⋋%⋟43021≦↸⋋%⋟-1576=⋋%⋟-42074","layer":0}]}
+{"id":665,"expression_no_base_symbol":"⫛⫱⨽($3955$↙$2196$)","expression":"⫛⫱⨽(⋋%⋟5374↙⋋%⋟3010)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3621,"operation_count":2,"complexity_ratio":1810.5,"tree":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3955,"base":9},"right_expr":{"type":"numeric_atoms","value":2196,"base":9}}},"used_operators":["DlLNRPXxWL","yyfyN0ffXY"],"dependent_operators":["rGHVDoGpnC","tmPS8pqC7x","DpFCA1CohY"],"result":"⋋%⋟0","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3955","layer":2},{"info":"number node, value=2196","layer":2},{"info":"compute binary expreesion, left_input=3955, right_input=2196, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-6588","layer":1},{"info":"compute unary expreesion, input=-6588, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":0}],"base":9,"result_base":9,"text":"⫛⫱⨽(⋋%⋟5374↙⋋%⋟3010)=⋋%⋟0","reverse_text":"⋋%⋟0=⫛⫱⨽(⋋%⋟5374↙⋋%⋟3010)","cot":[{"info":"⋋%⋟5374↙⋋%⋟3010=⋋%⋟-10030","layer":1},{"info":"⫛⫱⨽⋋%⋟-10030=⋋%⋟0","layer":0}]}
+{"id":666,"expression_no_base_symbol":"∤(∓⪦$4044$)","expression":"∤(∓⪦⋋%⋟5483)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":35,"operation_count":2,"complexity_ratio":17.5,"tree":{"type":"unary","operator":"∤","unary_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"numeric_atoms","value":4044,"base":9}}},"used_operators":["k2HlF1dBQh","D309nIvmXG"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL"],"result":"⋋%⋟10","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=4044","layer":2},{"info":"compute unary expreesion, input=4044, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=3636","layer":1},{"info":"compute unary expreesion, input=3636, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":0}],"base":9,"result_base":9,"text":"∤(∓⪦⋋%⋟5483)=⋋%⋟10","reverse_text":"⋋%⋟10=∤(∓⪦⋋%⋟5483)","cot":[{"info":"∓⪦⋋%⋟5483=⋋%⋟4880","layer":1},{"info":"∤⋋%⋟4880=⋋%⋟10","layer":0}]}
+{"id":667,"expression_no_base_symbol":"(⊿$1668$)↺$1228$⪎↠$2780$","expression":"(⊿⋋%⋟2253)↺⋋%⋟1614⪎↠⋋%⋟3728","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":35,"operation_count":3,"complexity_ratio":11.666666666666666,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"numeric_atoms","value":1668,"base":9}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":1228,"base":9},"right_expr":{"type":"numeric_atoms","value":2780,"base":9}}},"used_operators":["7j4O788W3g","DO4fhlbJSI","3tVxb0NHM4"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM"],"result":"⋋%⋟187","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1668","layer":2},{"info":"compute unary expreesion, input=1668, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-7410","layer":1},{"info":"number node, value=1228","layer":2},{"info":"number node, value=2780","layer":2},{"info":"compute binary expreesion, left_input=1228, right_input=2780, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=-7410, right_input=160, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=160","layer":0}],"base":9,"result_base":9,"text":"(⊿⋋%⋟2253)↺⋋%⋟1614⪎↠⋋%⋟3728=⋋%⋟187","reverse_text":"⋋%⋟187=(⊿⋋%⋟2253)↺⋋%⋟1614⪎↠⋋%⋟3728","cot":[{"info":"⊿⋋%⋟2253=⋋%⋟-11143","layer":1},{"info":"⋋%⋟1614⪎↠⋋%⋟3728=⋋%⋟187","layer":1},{"info":"⋋%⋟-11143↺⋋%⋟187=⋋%⋟187","layer":0}]}
+{"id":668,"expression_no_base_symbol":"(⊢≑≆$6793$)⩍⋽⫝̸($1824$⫚↹⊑$1327$)","expression":"(⊢≑≆⋋%⋟10277)⩍⋽⫝̸(⋋%⋟2446⫚↹⊑⋋%⋟1734)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":31,"operation_count":3,"complexity_ratio":10.333333333333334,"tree":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"numeric_atoms","value":6793,"base":9}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":1824,"base":9},"right_expr":{"type":"numeric_atoms","value":1327,"base":9}}},"used_operators":["BiWNJpBvwn","27wFxooxGf","dfKe02y8D2"],"dependent_operators":["Ph9nP6C5qx","xUOZtlo3hN","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj"],"result":"⋋%⋟41764","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=6793","layer":2},{"info":"compute unary expreesion, input=6793, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=27624","layer":1},{"info":"number node, value=1824","layer":2},{"info":"number node, value=1327","layer":2},{"info":"compute binary expreesion, left_input=1824, right_input=1327, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":1},{"info":"compute binary expreesion, left_input=27624, right_input=-447, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=27598","layer":0}],"base":9,"result_base":9,"text":"(⊢≑≆⋋%⋟10277)⩍⋽⫝̸(⋋%⋟2446⫚↹⊑⋋%⋟1734)=⋋%⋟41764","reverse_text":"⋋%⋟41764=(⊢≑≆⋋%⋟10277)⩍⋽⫝̸(⋋%⋟2446⫚↹⊑⋋%⋟1734)","cot":[{"info":"⊢≑≆⋋%⋟10277=⋋%⋟41803","layer":1},{"info":"⋋%⋟2446⫚↹⊑⋋%⋟1734=⋋%⋟-546","layer":1},{"info":"⋋%⋟41803⩍⋽⫝̸⋋%⋟-546=⋋%⋟41764","layer":0}]}
+{"id":669,"expression_no_base_symbol":"$1395$⪔$1464$⊨$4875$⪍↜⋙$1360$","expression":"⋋%⋟1820⪔⋋%⋟2006⊨⋋%⋟6616⪍↜⋙⋋%⋟1771","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1587,"operation_count":3,"complexity_ratio":529.0,"tree":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":1395,"base":9},"right_expr":{"type":"numeric_atoms","value":1464,"base":9}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":4875,"base":9},"right_expr":{"type":"numeric_atoms","value":1360,"base":9}}},"used_operators":["vg4gO5BX6G","GjBEYRfMaF","L05ObWFQCd"],"dependent_operators":["NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q"],"result":"⋋%⋟3785","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1395","layer":2},{"info":"number node, value=1464","layer":2},{"info":"compute binary expreesion, left_input=1395, right_input=1464, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":1},{"info":"number node, value=4875","layer":2},{"info":"number node, value=1360","layer":2},{"info":"compute binary expreesion, left_input=4875, right_input=1360, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=7030","layer":1},{"info":"compute binary expreesion, left_input=450, right_input=7030, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=2831","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟1820⪔⋋%⋟2006⊨⋋%⋟6616⪍↜⋙⋋%⋟1771=⋋%⋟3785","reverse_text":"⋋%⋟3785=⋋%⋟1820⪔⋋%⋟2006⊨⋋%⋟6616⪍↜⋙⋋%⋟1771","cot":[{"info":"⋋%⋟1820⪔⋋%⋟2006=⋋%⋟550","layer":1},{"info":"⋋%⋟6616⪍↜⋙⋋%⋟1771=⋋%⋟10571","layer":1},{"info":"⋋%⋟550⊨⋋%⋟10571=⋋%⋟3785","layer":0}]}
+{"id":670,"expression_no_base_symbol":"⨮↦↱($3874$⫸⊐$2769$)","expression":"⨮↦↱(⋋%⋟5274⫸⊐⋋%⋟3716)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":10528,"operation_count":2,"complexity_ratio":5264.0,"tree":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3874,"base":9},"right_expr":{"type":"numeric_atoms","value":2769,"base":9}}},"used_operators":["sYcpBQ0cFf","mqXw5SEYmG"],"dependent_operators":["OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"⋋%⋟-755531050","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3874","layer":2},{"info":"number node, value=2769","layer":2},{"info":"compute binary expreesion, left_input=3874, right_input=2769, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=10951","layer":1},{"info":"compute unary expreesion, input=10951, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-328214799","layer":0}],"base":9,"result_base":9,"text":"⨮↦↱(⋋%⋟5274⫸⊐⋋%⋟3716)=⋋%⋟-755531050","reverse_text":"⋋%⋟-755531050=⨮↦↱(⋋%⋟5274⫸⊐⋋%⋟3716)","cot":[{"info":"⋋%⋟5274⫸⊐⋋%⋟3716=⋋%⋟16017","layer":1},{"info":"⨮���↱⋋%⋟16017=⋋%⋟-755531050","layer":0}]}
+{"id":671,"expression_no_base_symbol":"($3019$⊢$5835$)⫣⪄⊒(⊲⪭$7773$)","expression":"(⋋%⋟4124⊢⋋%⋟8003)⫣⪄⊒(⊲⪭⋋%⋟11586)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":76,"operation_count":3,"complexity_ratio":25.333333333333332,"tree":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":3019,"base":9},"right_expr":{"type":"numeric_atoms","value":5835,"base":9}},"right_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"numeric_atoms","value":7773,"base":9}}},"used_operators":["RabNbG55vr","5twsqlHp2o","k7HXdKtiEU"],"dependent_operators":["NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","i8ToyICDmI","xUOZtlo3hN"],"result":"⋋%⋟187","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3019","layer":2},{"info":"number node, value=5835","layer":2},{"info":"compute binary expreesion, left_input=3019, right_input=5835, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-6282","layer":1},{"info":"number node, value=7773","layer":2},{"info":"compute unary expreesion, input=7773, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-7947","layer":1},{"info":"compute binary expreesion, left_input=-6282, right_input=-7947, 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":9,"result_base":9,"text":"(⋋%⋟4124⊢⋋%⋟8003)⫣⪄⊒(⊲⪭⋋%⋟11586)=⋋%⋟187","reverse_text":"⋋%⋟187=(⋋%⋟4124⊢⋋%⋟8003)⫣⪄⊒(⊲⪭⋋%⋟11586)","cot":[{"info":"⋋%⋟4124⊢⋋%⋟8003=⋋%⋟-8550","layer":1},{"info":"⊲⪭⋋%⋟11586=⋋%⋟-11810","layer":1},{"info":"⋋%⋟-8550⫣⪄⊒⋋%⋟-11810=⋋%⋟187","layer":0}]}
+{"id":672,"expression_no_base_symbol":"$5898$⪮%⊝$1239$⪎⩰","expression":"⋋%⋟8073⪮%⊝⋋%⋟1626⪎⩰","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":12,"operation_count":2,"complexity_ratio":6.0,"tree":{"type":"unary","operator":"⪎⩰","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":5898,"base":9},"right_expr":{"type":"numeric_atoms","value":1239,"base":9}}},"used_operators":["2ufhKmSs5H","IWmyXbctLI"],"dependent_operators":["DpFCA1CohY","N41Kp7NANJ","sdazOOVcIp","EBcxylXtPf","f6k1SAg4EE","COABgblf1C","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"⋋%⋟-37","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=5898","layer":2},{"info":"number node, value=1239","layer":2},{"info":"compute binary expreesion, left_input=5898, right_input=1239, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=12112","layer":1},{"info":"compute unary expreesion, input=12112, op_id = 2ufhKmSs5H, unary_op_definition = 'a⪎⩰ = { (17≋⫹) , if a>=326 and a!=597 ; (((a⪒a)⫌⩹⨱)⊭↱(⋗⩬⋾(756⪨≂a))) , else }', output=-34","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟8073⪮%⊝⋋%⋟1626⪎⩰=⋋%⋟-37","reverse_text":"⋋%⋟-37=⋋%⋟8073⪮%⊝⋋%⋟1626⪎⩰","cot":[{"info":"⋋%⋟8073⪮%⊝⋋%⋟1626=⋋%⋟17547","layer":1},{"info":"⋋%⋟17547⪎⩰=⋋%⋟-37","layer":0}]}
+{"id":673,"expression_no_base_symbol":"⩰$1599$≎⊠⪸$1029$","expression":"⩰⋋%⋟2166≎⊠⪸⋋%⋟1363","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":278,"operation_count":2,"complexity_ratio":139.0,"tree":{"type":"unary","operator":"⩰","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1599,"base":9},"right_expr":{"type":"numeric_atoms","value":1029,"base":9}}},"used_operators":["WkeUrDK8WX","bJkvcejdHO"],"dependent_operators":["W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"⋋%⋟-701732","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1599","layer":2},{"info":"number node, value=1029","layer":2},{"info":"compute binary expreesion, left_input=1599, right_input=1029, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=413668","layer":1},{"info":"compute unary expreesion, input=413668, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-414668","layer":0}],"base":9,"result_base":9,"text":"⩰⋋%⋟2166≎⊠⪸⋋%⋟1363=⋋%⋟-701732","reverse_text":"⋋%⋟-701732=⩰⋋%⋟2166≎⊠⪸⋋%⋟1363","cot":[{"info":"⋋%⋟2166≎⊠⪸⋋%⋟1363=⋋%⋟700401","layer":1},{"info":"⩰⋋%⋟700401=⋋%⋟-701732","layer":0}]}
+{"id":674,"expression_no_base_symbol":"≛(≑⋹$1168$)","expression":"≛(≑⋹⋋%⋟1537)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":129,"operation_count":2,"complexity_ratio":64.5,"tree":{"type":"unary","operator":"≛","unary_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"numeric_atoms","value":1168,"base":9}}},"used_operators":["W7eaUhjymW","6B9nyZLogK"],"dependent_operators":["W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C"],"result":"⋋%⋟-11","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1168","layer":2},{"info":"compute unary expreesion, input=1168, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=1650","layer":1},{"info":"compute unary expreesion, input=1650, 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":0}],"base":9,"result_base":9,"text":"≛(≑⋹⋋%⋟1537)=⋋%⋟-11","reverse_text":"⋋%⋟-11=≛(≑⋹⋋%⋟1537)","cot":[{"info":"≑⋹⋋%⋟1537=⋋%⋟2233","layer":1},{"info":"≛⋋%⋟2233=⋋%⋟-11","layer":0}]}
+{"id":675,"expression_no_base_symbol":"($2167$↸$4417$)⪶≀⋏($1163$⪑⩈)","expression":"(⋋%⋟2867↸⋋%⋟6047)⪶≀⋏(⋋%⋟1532⪑⩈)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2195,"operation_count":3,"complexity_ratio":731.6666666666666,"tree":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":2167,"base":9},"right_expr":{"type":"numeric_atoms","value":4417,"base":9}},"right_expr":{"type":"unary","operator":"⪑⩈","unary_expr":{"type":"numeric_atoms","value":1163,"base":9}}},"used_operators":["zR4jO40bMj","1eCjFl0mb9","C6VvDP6HwP"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","9FxExcQeMw","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","Z2TMIBDE3Q","i8ToyICDmI","eewbuw0ToL","2td37pGCOC","QMFrweE19q"],"result":"⋋%⋟-6140","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2167","layer":2},{"info":"number node, value=4417","layer":2},{"info":"compute binary expreesion, left_input=2167, right_input=4417, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=2167","layer":1},{"info":"number node, value=1163","layer":2},{"info":"compute unary expreesion, input=1163, op_id = C6VvDP6HwP, unary_op_definition = 'a⪑⩈ = { (((a⫡⨏a)⩚⊴⇥(477⪨≂185))⇼⇔∾(⩦⩻⨪(a∲⫓a))) , if (a⨰851)>=379 ; (((a⩷∴a)⩤)⨰a) , else }', output=-1121","layer":1},{"info":"compute binary expreesion, left_input=2167, right_input=-1121, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-4491","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟2867↸⋋%⋟6047)⪶≀⋏(⋋%⋟1532⪑⩈)=⋋%⋟-6140","reverse_text":"⋋%⋟-6140=(⋋%⋟2867↸⋋%⋟6047)⪶≀⋏(⋋%⋟1532⪑⩈)","cot":[{"info":"⋋%⋟2867↸⋋%⋟6047=⋋%⋟2867","layer":1},{"info":"⋋%⋟1532⪑⩈=⋋%⋟-1475","layer":1},{"info":"⋋%⋟2867⪶≀⋏⋋%⋟-1475=⋋%⋟-6140","layer":0}]}
+{"id":676,"expression_no_base_symbol":"($4881$↳≱$2195$)⪝(↩⪖$1208$)","expression":"(⋋%⋟6623↳≱⋋%⋟3008)⪝(↩⪖⋋%⋟1582)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":526,"operation_count":3,"complexity_ratio":175.33333333333334,"tree":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":4881,"base":9},"right_expr":{"type":"numeric_atoms","value":2195,"base":9}},"right_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"numeric_atoms","value":1208,"base":9}}},"used_operators":["wicAB68Tmb","JwTKLfZU96","fG6uBQFnGz"],"dependent_operators":["L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q"],"result":"⋋%⋟-62610","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=4881","layer":2},{"info":"number node, value=2195","layer":2},{"info":"compute binary expreesion, left_input=4881, right_input=2195, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":1},{"info":"number node, value=1208","layer":2},{"info":"compute unary expreesion, input=1208, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-10230","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-10230, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-41319","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟6623↳≱⋋%⋟3008)⪝(↩⪖⋋%⋟1582)=⋋%⋟-62610","reverse_text":"⋋%⋟-62610=(⋋%⋟6623↳≱⋋%⋟3008)⪝(↩⪖⋋%⋟1582)","cot":[{"info":"⋋%⋟6623↳≱⋋%⋟3008=⋋%⋟0","layer":1},{"info":"↩⪖⋋%⋟1582=⋋%⋟-15026","layer":1},{"info":"⋋%⋟0⪝⋋%⋟-15026=⋋%⋟-62610","layer":0}]}
+{"id":677,"expression_no_base_symbol":"($3484$⫰⋱$1181$)⪚($1021$⨎$1652$)","expression":"(⋋%⋟4701⫰⋱⋋%⋟1552)⪚(⋋%⋟1354⨎⋋%⋟2235)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":28,"operation_count":3,"complexity_ratio":9.333333333333334,"tree":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":3484,"base":9},"right_expr":{"type":"numeric_atoms","value":1181,"base":9}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1021,"base":9},"right_expr":{"type":"numeric_atoms","value":1652,"base":9}}},"used_operators":["HrjLwUk87U","6o9Blt3TJ6","rJVOvQCfKK"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"⋋%⋟8235","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3484","layer":2},{"info":"number node, value=1181","layer":2},{"info":"compute binary expreesion, left_input=3484, right_input=1181, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-3451","layer":1},{"info":"number node, value=1021","layer":2},{"info":"number node, value=1652","layer":2},{"info":"compute binary expreesion, left_input=1021, right_input=1652, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1652","layer":1},{"info":"compute binary expreesion, left_input=-3451, right_input=1652, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=6026","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟4701⫰⋱⋋%⋟1552)⪚(⋋%⋟1354⨎⋋%⋟2235)=⋋%⋟8235","reverse_text":"⋋%⋟8235=(⋋%⋟4701⫰⋱⋋%⋟1552)⪚(⋋%⋟1354⨎⋋%⋟2235)","cot":[{"info":"⋋%⋟4701⫰⋱⋋%⋟1552=⋋%⋟-4654","layer":1},{"info":"⋋%⋟1354⨎⋋%⋟2235=⋋%⋟2235","layer":1},{"info":"⋋%⋟-4654⪚⋋%⋟2235=⋋%⋟8235","layer":0}]}
+{"id":678,"expression_no_base_symbol":"⫯($3332$⊴$1272$)","expression":"⫯(⋋%⋟4512⊴⋋%⋟1663)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3070,"operation_count":2,"complexity_ratio":1535.0,"tree":{"type":"unary","operator":"⫯","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3332,"base":9},"right_expr":{"type":"numeric_atoms","value":1272,"base":9}}},"used_operators":["H6BK1Evt7c","Nsiff2A1zJ"],"dependent_operators":["2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=3332","layer":2},{"info":"number node, value=1272","layer":2},{"info":"compute binary expreesion, left_input=3332, right_input=1272, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"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":0}],"base":9,"result_base":9,"text":"⫯(⋋%⋟4512⊴⋋%⋟1663)=NaN","reverse_text":"NaN=⫯(⋋%⋟4512⊴⋋%⋟1663)","cot":[{"info":"⋋%⋟4512⊴⋋%⋟1663=NaN","layer":1},{"info":"⫯NaN=NaN","layer":0}]}
+{"id":679,"expression_no_base_symbol":"⫇(⪝⪂⫅$1016$)","expression":"⫇(⪝⪂⫅⋋%⋟1348)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":156,"operation_count":2,"complexity_ratio":78.0,"tree":{"type":"unary","operator":"⫇","unary_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1016,"base":9}}},"used_operators":["YjI8oCXuph","XTarYq4gQB"],"dependent_operators":["rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","9HNa5Wba9A","8w2t5hMYqp"],"result":"⋋%⋟-245515","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1016","layer":2},{"info":"compute unary expreesion, input=1016, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-149352","layer":1},{"info":"compute unary expreesion, input=-149352, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-148406","layer":0}],"base":9,"result_base":9,"text":"⫇(⪝⪂⫅⋋%⋟1348)=⋋%⋟-245515","reverse_text":"⋋%⋟-245515=⫇(⪝⪂⫅⋋%⋟1348)","cot":[{"info":"⪝⪂⫅⋋%⋟1348=⋋%⋟-246776","layer":1},{"info":"⫇⋋%⋟-246776=⋋%⋟-245515","layer":0}]}
+{"id":680,"expression_no_base_symbol":"$3103$⩼⇪↪$2849$⩵∡$1971$⊉↱≁$7408$","expression":"⋋%⋟4227⩼⇪↪⋋%⋟3815⩵∡⋋%⋟2630⊉↱≁⋋%⋟11141","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":44,"operation_count":3,"complexity_ratio":14.666666666666666,"tree":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":3103,"base":9},"right_expr":{"type":"numeric_atoms","value":2849,"base":9}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":1971,"base":9},"right_expr":{"type":"numeric_atoms","value":7408,"base":9}}},"used_operators":["Y7wcNGrDQJ","ocnLzx9CaJ","w2P8NbNXyL"],"dependent_operators":["NTOWxs364D","glklzrTFfD","tifHPKVTfV","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL"],"result":"⋋%⋟26111","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3103","layer":2},{"info":"number node, value=2849","layer":2},{"info":"compute binary expreesion, left_input=3103, right_input=2849, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-14520","layer":1},{"info":"number node, value=1971","layer":2},{"info":"number node, value=7408","layer":2},{"info":"compute binary expreesion, left_input=1971, right_input=7408, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-25852","layer":1},{"info":"compute binary expreesion, left_input=-14520, right_input=-25852, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=17587","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟4227⩼⇪↪⋋%⋟3815⩵∡⋋%⋟2630⊉↱≁⋋%⋟11141=⋋%⋟26111","reverse_text":"⋋%⋟26111=⋋%⋟4227⩼⇪↪⋋%⋟3815⩵∡⋋%⋟2630⊉↱≁⋋%⋟11141","cot":[{"info":"⋋%⋟4227⩼⇪↪⋋%⋟3815=⋋%⋟-21823","layer":1},{"info":"⋋%⋟2630⊉↱≁⋋%⋟11141=⋋%⋟-38414","layer":1},{"info":"⋋%⋟-21823⩵∡⋋%⋟-38414=⋋%⋟26111","layer":0}]}
+{"id":681,"expression_no_base_symbol":"(⫟$1855$)↼⊘⨖(+⊝⨔$2670$)","expression":"(⫟⋋%⋟2481)↼⊘⨖(+⊝⨔⋋%⋟3586)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":83,"operation_count":3,"complexity_ratio":27.666666666666668,"tree":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"numeric_atoms","value":1855,"base":9}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":2670,"base":9}}},"used_operators":["bPywburJMS","z4E1FaHLuy","DhbWaqg5eL"],"dependent_operators":["9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"⋋%⋟3775","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1855","layer":2},{"info":"compute unary expreesion, input=1855, 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=-4658","layer":1},{"info":"number node, value=2670","layer":2},{"info":"compute unary expreesion, input=2670, 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":1},{"info":"compute binary expreesion, left_input=-4658, right_input=1522, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=2822","layer":0}],"base":9,"result_base":9,"text":"(⫟⋋%⋟2481)↼⊘⨖(+⊝⨔⋋%⋟3586)=⋋%⋟3775","reverse_text":"⋋%⋟3775=(⫟⋋%⋟2481)↼⊘⨖(+⊝⨔⋋%⋟3586)","cot":[{"info":"⫟⋋%⋟2481=⋋%⋟-6345","layer":1},{"info":"+⊝⨔⋋%⋟3586=⋋%⋟2071","layer":1},{"info":"⋋%⋟-6345↼⊘⨖⋋%⋟2071=⋋%⋟3775","layer":0}]}
+{"id":682,"expression_no_base_symbol":"(⊵⊁$4176$)⊪","expression":"(⊵⊁⋋%⋟5650)⊪","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":60,"operation_count":2,"complexity_ratio":30.0,"tree":{"type":"unary","operator":"⊪","unary_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"numeric_atoms","value":4176,"base":9}}},"used_operators":["zVYPLywUTj","AvED76WdY7"],"dependent_operators":["sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","uBihLCJcMX","k8jYdgA6NY"],"result":"⋋%⋟0","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=4176","layer":2},{"info":"compute unary expreesion, input=4176, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=23986","layer":1},{"info":"compute unary expreesion, input=23986, 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":9,"result_base":9,"text":"(⊵⊁⋋%⋟5650)⊪=⋋%⋟0","reverse_text":"⋋%⋟0=(⊵⊁⋋%⋟5650)⊪","cot":[{"info":"⊵⊁⋋%⋟5650=⋋%⋟35811","layer":1},{"info":"⋋%⋟35811⊪=⋋%⋟0","layer":0}]}
+{"id":683,"expression_no_base_symbol":"$2466$⩷∴$5087$⪑⩈","expression":"⋋%⋟3340⩷∴⋋%⋟6872⪑⩈","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":19,"operation_count":2,"complexity_ratio":9.5,"tree":{"type":"unary","operator":"⪑⩈","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2466,"base":9},"right_expr":{"type":"numeric_atoms","value":5087,"base":9}}},"used_operators":["C6VvDP6HwP","9FxExcQeMw"],"dependent_operators":["9FxExcQeMw","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","Z2TMIBDE3Q","i8ToyICDmI","eewbuw0ToL","2td37pGCOC","QMFrweE19q","rysDP5nf3Z"],"result":"⋋%⋟7256","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2466","layer":2},{"info":"number node, value=5087","layer":2},{"info":"compute binary expreesion, left_input=2466, right_input=5087, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-5274","layer":1},{"info":"compute unary expreesion, input=-5274, op_id = C6VvDP6HwP, unary_op_definition = 'a⪑⩈ = { (((a⫡⨏a)⩚⊴⇥(477⪨≂185))⇼⇔∾(⩦⩻⨪(a∲⫓a))) , if (a⨰851)>=379 ; (((a⩷∴a)⩤)⨰a) , else }', output=5316","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟3340⩷∴⋋%⋟6872⪑⩈=⋋%⋟7256","reverse_text":"⋋%⋟7256=⋋%⋟3340⩷∴⋋%⋟6872⪑⩈","cot":[{"info":"⋋%⋟3340⩷∴⋋%⋟6872=⋋%⋟-7210","layer":1},{"info":"⋋%⋟-7210⪑⩈=⋋%⋟7256","layer":0}]}
+{"id":684,"expression_no_base_symbol":"(⊵⊁$2413$)⊾⪯⋞$1100$∠⫱$3058$","expression":"(⊵⊁⋋%⋟3271)⊾⪯⋞⋋%⋟1452∠⫱⋋%⋟4167","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":93,"operation_count":3,"complexity_ratio":31.0,"tree":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"numeric_atoms","value":2413,"base":9}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":1100,"base":9},"right_expr":{"type":"numeric_atoms","value":3058,"base":9}}},"used_operators":["HK0tfVPux8","AvED76WdY7","QvoQhV0rrE"],"dependent_operators":["s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","uBihLCJcMX","k8jYdgA6NY","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP"],"result":"⋋%⋟2718","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2413","layer":2},{"info":"compute unary expreesion, input=2413, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=13408","layer":1},{"info":"number node, value=1100","layer":2},{"info":"number node, value=3058","layer":2},{"info":"compute binary expreesion, left_input=1100, right_input=3058, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":1},{"info":"compute binary expreesion, left_input=13408, right_input=1234, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=2042","layer":0}],"base":9,"result_base":9,"text":"(⊵⊁⋋%⋟3271)⊾⪯⋞⋋%⋟1452∠⫱⋋%⋟4167=⋋%⋟2718","reverse_text":"⋋%⋟2718=(⊵⊁⋋%⋟3271)⊾⪯⋞⋋%⋟1452∠⫱⋋%⋟4167","cot":[{"info":"⊵⊁⋋%⋟3271=⋋%⋟20347","layer":1},{"info":"⋋%⋟1452∠⫱⋋%⋟4167=⋋%⋟1621","layer":1},{"info":"⋋%⋟20347⊾⪯⋞⋋%⋟1621=⋋%⋟2718","layer":0}]}
+{"id":685,"expression_no_base_symbol":"$4332$∌$3925$⫸⊐$2050$⇂≾⫗$1311$","expression":"⋋%⋟5843∌⋋%⋟5341⫸⊐⋋%⋟2727⇂≾⫗⋋%⋟1716","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":63,"operation_count":3,"complexity_ratio":21.0,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":4332,"base":9},"right_expr":{"type":"numeric_atoms","value":3925,"base":9}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":2050,"base":9},"right_expr":{"type":"numeric_atoms","value":1311,"base":9}}},"used_operators":["mqXw5SEYmG","8cLx32lpNA","aBQ6xLxuTc"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U"],"result":"⋋%⋟1285","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=4332","layer":2},{"info":"number node, value=3925","layer":2},{"info":"compute binary expreesion, left_input=4332, right_input=3925, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-3925","layer":1},{"info":"number node, value=2050","layer":2},{"info":"number node, value=1311","layer":2},{"info":"compute binary expreesion, left_input=2050, right_input=1311, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":1},{"info":"compute binary expreesion, left_input=-3925, right_input=-676, 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":0}],"base":9,"result_base":9,"text":"⋋%⋟5843∌⋋%⋟5341⫸⊐⋋%⋟2727⇂≾⫗⋋%⋟1716=⋋%⋟1285","reverse_text":"⋋%⋟1285=⋋%⋟5843∌⋋%⋟5341⫸⊐⋋%⋟2727⇂≾⫗⋋%⋟1716","cot":[{"info":"⋋%⋟5843∌⋋%⋟5341=⋋%⋟-5341","layer":1},{"info":"⋋%⋟2727⇂≾⫗⋋%⋟1716=⋋%⋟-831","layer":1},{"info":"⋋%⋟-5341⫸⊐⋋%⋟-831=⋋%⋟1285","layer":0}]}
+{"id":686,"expression_no_base_symbol":"$2985$⩷∴$1196$≓∲(∨∊⋏$4554$)","expression":"⋋%⋟4076⩷∴⋋%⋟1568≓∲(∨∊⋏⋋%⋟6220)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":124,"operation_count":3,"complexity_ratio":41.333333333333336,"tree":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2985,"base":9},"right_expr":{"type":"numeric_atoms","value":1196,"base":9}},"right_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"numeric_atoms","value":4554,"base":9}}},"used_operators":["s1XTVnmDOJ","9FxExcQeMw","R5aXW34M0v"],"dependent_operators":["HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","rysDP5nf3Z","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ"],"result":"⋋%⋟54640","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2985","layer":2},{"info":"number node, value=1196","layer":2},{"info":"compute binary expreesion, left_input=2985, right_input=1196, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=3546","layer":1},{"info":"number node, value=4554","layer":2},{"info":"compute unary expreesion, input=4554, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=96095","layer":1},{"info":"compute binary expreesion, left_input=3546, right_input=96095, 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=36243","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟4076⩷∴⋋%⋟1568≓∲(∨∊⋏⋋%⋟6220)=⋋%⋟54640","reverse_text":"⋋%⋟54640=⋋%⋟4076⩷∴⋋%⋟1568≓∲(∨∊⋏⋋%⋟6220)","cot":[{"info":"⋋%⋟4076⩷∴⋋%⋟1568=⋋%⋟4770","layer":1},{"info":"∨∊⋏⋋%⋟6220=⋋%⋟155732","layer":1},{"info":"⋋%⋟4770≓∲⋋%⋟155732=⋋%⋟54640","layer":0}]}
+{"id":687,"expression_no_base_symbol":"→⩰$1221$≹⇙⪍$1136$","expression":"→⩰⋋%⋟1606≹⇙⪍⋋%⋟1502","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":171,"operation_count":2,"complexity_ratio":85.5,"tree":{"type":"unary","operator":"→⩰","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1221,"base":9},"right_expr":{"type":"numeric_atoms","value":1136,"base":9}}},"used_operators":["o8Pngz0Tml","AHs5Up7iyr"],"dependent_operators":["9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1221","layer":2},{"info":"number node, value=1136","layer":2},{"info":"compute binary expreesion, left_input=1221, right_input=1136, 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 = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"→⩰⋋%⋟1606≹⇙⪍⋋%⋟1502=NaN","reverse_text":"NaN=→⩰⋋%⋟1606≹⇙⪍⋋%⋟1502","cot":[{"info":"⋋%⋟1606≹⇙⪍⋋%⋟1502=NaN","layer":1},{"info":"→⩰NaN=NaN","layer":0}]}
+{"id":688,"expression_no_base_symbol":"$6796$≴⪞⇿$1102$⋣⋖$1949$⇍⊗$3303$","expression":"⋋%⋟10281≴⪞⇿⋋%⋟1454⋣⋖⋋%⋟2605⇍⊗⋋%⋟4470","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6599,"operation_count":3,"complexity_ratio":2199.6666666666665,"tree":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":6796,"base":9},"right_expr":{"type":"numeric_atoms","value":1102,"base":9}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":1949,"base":9},"right_expr":{"type":"numeric_atoms","value":3303,"base":9}}},"used_operators":["J0M6qkBnIM","lvlrscuwVU","5uvYHDjeKN"],"dependent_operators":["VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o"],"result":"⋋%⋟187114248","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=6796","layer":2},{"info":"number node, value=1102","layer":2},{"info":"compute binary expreesion, left_input=6796, right_input=1102, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=85099292","layer":1},{"info":"number node, value=1949","layer":2},{"info":"number node, value=3303","layer":2},{"info":"compute binary expreesion, left_input=1949, right_input=3303, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":1},{"info":"compute binary expreesion, left_input=85099292, right_input=-244, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=85099292","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟10281≴⪞⇿⋋%⋟1454⋣⋖⋋%⋟2605⇍⊗⋋%⋟4470=⋋%⋟187114248","reverse_text":"⋋%⋟187114248=⋋%⋟10281≴⪞⇿⋋%⋟1454⋣⋖⋋%⋟2605⇍⊗⋋%⋟4470","cot":[{"info":"⋋%⋟10281≴⪞⇿⋋%⋟1454=⋋%⋟187114248","layer":1},{"info":"⋋%⋟2605⇍⊗⋋%⋟4470=⋋%⋟-301","layer":1},{"info":"⋋%⋟187114248⋣⋖⋋%⋟-301=⋋%⋟187114248","layer":0}]}
+{"id":689,"expression_no_base_symbol":"($2274$⫚↹⊑$2245$)⪚($8999$⋹)","expression":"(⋋%⋟3106⫚↹⊑⋋%⋟3064)⪚(⋋%⋟13308⋹)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":102,"operation_count":3,"complexity_ratio":34.0,"tree":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":2274,"base":9},"right_expr":{"type":"numeric_atoms","value":2245,"base":9}},"right_expr":{"type":"unary","operator":"⋹","unary_expr":{"type":"numeric_atoms","value":8999,"base":9}}},"used_operators":["HrjLwUk87U","dfKe02y8D2","opAxDRczMr"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","13rbtpv6ld","mp7IySMOzn","z63VuFQld9","aN9a90urxU","27wFxooxGf","SVb2v531z1","eewbuw0ToL"],"result":"⋋%⋟20","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=2274","layer":2},{"info":"number node, value=2245","layer":2},{"info":"compute binary expreesion, left_input=2274, right_input=2245, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)���⪆(a⨸⪁b))) }', output=-447","layer":1},{"info":"number node, value=8999","layer":2},{"info":"compute unary expreesion, input=8999, op_id = opAxDRczMr, unary_op_definition = 'a⋹ = { ((⨴⫝a)⇷(a↤⩊a)) , if (a≃⋄)<20 or (⊢≑≆a)<=20 ; ((a⨰a)∧) , else }', output=-20","layer":1},{"info":"compute binary expreesion, left_input=-447, right_input=-20, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=18","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟3106⫚↹⊑⋋%⋟3064)⪚(⋋%⋟13308⋹)=⋋%⋟20","reverse_text":"⋋%⋟20=(⋋%⋟3106⫚↹⊑⋋%⋟3064)⪚(⋋%⋟13308⋹)","cot":[{"info":"⋋%⋟3106⫚↹⊑⋋%⋟3064=⋋%⋟-546","layer":1},{"info":"⋋%⋟13308⋹=⋋%⋟-22","layer":1},{"info":"⋋%⋟-546⪚⋋%⋟-22=⋋%⋟20","layer":0}]}
+{"id":690,"expression_no_base_symbol":"(⊗$1914$)⨰(⩩$2177$)","expression":"(⊗⋋%⋟2556)⨰(⩩⋋%⋟2878)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3143,"operation_count":3,"complexity_ratio":1047.6666666666667,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"numeric_atoms","value":1914,"base":9}},"right_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"numeric_atoms","value":2177,"base":9}}},"used_operators":["eewbuw0ToL","RhiyfpczSx","kMhfGuqI2H"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1914","layer":2},{"info":"compute unary expreesion, input=1914, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-3828","layer":1},{"info":"number node, value=2177","layer":2},{"info":"compute unary expreesion, input=2177, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-3828, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(⊗⋋%⋟2556)⨰(⩩⋋%⋟2878)=NaN","reverse_text":"NaN=(⊗⋋%⋟2556)⨰(⩩⋋%⋟2878)","cot":[{"info":"⊗⋋%⋟2556=⋋%⋟-5223","layer":1},{"info":"⩩⋋%⋟2878=NaN","layer":1},{"info":"⋋%⋟-5223⨰NaN=NaN","layer":0}]}
+{"id":691,"expression_no_base_symbol":"(∡$2048$)≚⊃≕$1834$⫘$1985$","expression":"(∡⋋%⋟2725)≚⊃≕⋋%⋟2457⫘⋋%⋟2645","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2085,"operation_count":3,"complexity_ratio":695.0,"tree":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"numeric_atoms","value":2048,"base":9}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":1834,"base":9},"right_expr":{"type":"numeric_atoms","value":1985,"base":9}}},"used_operators":["Bmrmz2XGnR","pRsWfj4Fpp","48vC8HMD2b"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe"],"result":"⋋%⋟8104645","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2048","layer":2},{"info":"compute unary expreesion, input=2048, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=-2048","layer":1},{"info":"number node, value=1834","layer":2},{"info":"number node, value=1985","layer":2},{"info":"compute binary expreesion, left_input=1834, right_input=1985, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=2161189","layer":1},{"info":"compute binary expreesion, left_input=-2048, right_input=2161189, 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=4314020","layer":0}],"base":9,"result_base":9,"text":"(∡⋋%⋟2725)≚⊃≕⋋%⋟2457⫘⋋%⋟2645=⋋%⋟8104645","reverse_text":"⋋%⋟8104645=(∡⋋%⋟2725)≚⊃≕⋋%⋟2457⫘⋋%⋟2645","cot":[{"info":"∡⋋%⋟2725=⋋%⋟-2725","layer":1},{"info":"⋋%⋟2457⫘⋋%⋟2645=⋋%⋟4053531","layer":1},{"info":"⋋%⋟-2725≚⊃≕⋋%⋟4053531=⋋%⋟8104645","layer":0}]}
+{"id":692,"expression_no_base_symbol":"∤↝$3784$∌$3801$","expression":"∤↝⋋%⋟5164∌⋋%⋟5183","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2,"operation_count":2,"complexity_ratio":1.0,"tree":{"type":"unary","operator":"∤↝","unary_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":3784,"base":9},"right_expr":{"type":"numeric_atoms","value":3801,"base":9}}},"used_operators":["3UMq87Qwqg","8cLx32lpNA"],"dependent_operators":["s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd"],"result":"⋋%⋟-5183","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3784","layer":2},{"info":"number node, value=3801","layer":2},{"info":"compute binary expreesion, left_input=3784, right_input=3801, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-3801","layer":1},{"info":"compute unary expreesion, input=-3801, 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=-3801","layer":0}],"base":9,"result_base":9,"text":"∤↝⋋%⋟5164∌⋋%⋟5183=⋋%⋟-5183","reverse_text":"⋋%⋟-5183=∤↝⋋%⋟5164∌⋋%⋟5183","cot":[{"info":"⋋%⋟5164∌⋋%⋟5183=⋋%⋟-5183","layer":1},{"info":"∤↝⋋%⋟-5183=⋋%⋟-5183","layer":0}]}
+{"id":693,"expression_no_base_symbol":"($5252$⩨$1058$)⪄$1740$⨜⨶$1834$","expression":"(⋋%⋟7175⩨⋋%⋟1405)⪄⋋%⋟2343⨜⨶⋋%⋟2457","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":52,"operation_count":3,"complexity_ratio":17.333333333333332,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":5252,"base":9},"right_expr":{"type":"numeric_atoms","value":1058,"base":9}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":1740,"base":9},"right_expr":{"type":"numeric_atoms","value":1834,"base":9}}},"used_operators":["SUmda5xLS4","2DlMacCsIx","HiPekx5b7W"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q"],"result":"⋋%⋟26070","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=5252","layer":2},{"info":"number node, value=1058","layer":2},{"info":"compute binary expreesion, left_input=5252, right_input=1058, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":1},{"info":"number node, value=1740","layer":2},{"info":"number node, value=1834","layer":2},{"info":"compute binary expreesion, left_input=1740, right_input=1834, 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=-3412","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-3412, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=17559","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟7175⩨⋋%⋟1405)⪄⋋%⋟2343⨜⨶⋋%⋟2457=⋋%⋟26070","reverse_text":"⋋%⋟26070=(⋋%⋟7175⩨⋋%⋟1405)⪄⋋%⋟2343⨜⨶⋋%⋟2457","cot":[{"info":"⋋%⋟7175⩨⋋%⋟1405=⋋%⋟0","layer":1},{"info":"⋋%⋟2343⨜⨶⋋%⋟2457=⋋%⋟-4611","layer":1},{"info":"⋋%⋟0⪄⋋%⋟-4611=⋋%⋟26070","layer":0}]}
+{"id":694,"expression_no_base_symbol":"$5133$∓⋝$1049$∝(↡$1836$)","expression":"⋋%⋟7033∓⋝⋋%⋟1385∝(↡⋋%⋟2460)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":65,"operation_count":3,"complexity_ratio":21.666666666666668,"tree":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":5133,"base":9},"right_expr":{"type":"numeric_atoms","value":1049,"base":9}},"right_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"numeric_atoms","value":1836,"base":9}}},"used_operators":["cTDWOvIxvz","PoHhknlbAi","MXaNJeIAZ3"],"dependent_operators":["7j4O788W3g","W4YGzv6Whe","COABgblf1C","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx"],"result":"⋋%⋟80","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=5133","layer":2},{"info":"number node, value=1049","layer":2},{"info":"compute binary expreesion, left_input=5133, right_input=1049, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":1},{"info":"number node, value=1836","layer":2},{"info":"compute unary expreesion, input=1836, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772��⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=16524","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=16524, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=72","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟7033∓⋝⋋%⋟1385∝(↡⋋%⋟2460)=⋋%⋟80","reverse_text":"⋋%⋟80=⋋%⋟7033∓⋝⋋%⋟1385∝(↡⋋%⋟2460)","cot":[{"info":"⋋%⋟7033∓⋝⋋%⋟1385=⋋%⋟74","layer":1},{"info":"↡⋋%⋟2460=⋋%⋟24600","layer":1},{"info":"⋋%⋟74∝⋋%⋟24600=⋋%⋟80","layer":0}]}
+{"id":695,"expression_no_base_symbol":"($1646$∙⊟$1017$)∈","expression":"(⋋%⋟2228∙⊟⋋%⋟1350)∈","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1732,"operation_count":2,"complexity_ratio":866.0,"tree":{"type":"unary","operator":"∈","unary_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":1646,"base":9},"right_expr":{"type":"numeric_atoms","value":1017,"base":9}}},"used_operators":["ztP7wcbY7m","SxTAKzQCrw"],"dependent_operators":["rysDP5nf3Z","XPYlsWDdGa","8w2t5hMYqp","f6k1SAg4EE","14qkJME0vr","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF"],"result":"⋋%⋟151581","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1646","layer":2},{"info":"number node, value=1017","layer":2},{"info":"compute binary expreesion, left_input=1646, right_input=1017, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=31244","layer":1},{"info":"compute unary expreesion, input=31244, op_id = ztP7wcbY7m, unary_op_definition = 'a∈ = { ((⊄⩳↩250)-(a⊦⊿)) , if ((⪲⇎a)>320 or (a⪒777)>25 or a!=39) ; a , else }', output=93061","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟2228∙⊟⋋%⋟1350)∈=⋋%⋟151581","reverse_text":"⋋%⋟151581=(⋋%⋟2228∙⊟⋋%⋟1350)∈","cot":[{"info":"⋋%⋟2228∙⊟⋋%⋟1350=⋋%⋟46765","layer":1},{"info":"⋋%⋟46765∈=⋋%⋟151581","layer":0}]}
+{"id":696,"expression_no_base_symbol":"$4936$⋣⋖$3555$≀⩗∶($3767$∕⩚$1117$)","expression":"⋋%⋟6684⋣⋖⋋%⋟4780≀⩗∶(⋋%⋟5145∕⩚⋋%⋟1471)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3796,"operation_count":3,"complexity_ratio":1265.3333333333333,"tree":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":4936,"base":9},"right_expr":{"type":"numeric_atoms","value":3555,"base":9}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":3767,"base":9},"right_expr":{"type":"numeric_atoms","value":1117,"base":9}}},"used_operators":["8INZBEW696","J0M6qkBnIM","z9ffQ9n5Zr"],"dependent_operators":["KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr"],"result":"⋋%⋟3","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=4936","layer":2},{"info":"number node, value=3555","layer":2},{"info":"compute binary expreesion, left_input=4936, right_input=3555, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=4936","layer":1},{"info":"number node, value=3767","layer":2},{"info":"number node, value=1117","layer":2},{"info":"compute binary expreesion, left_input=3767, right_input=1117, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-3770","layer":1},{"info":"compute binary expreesion, left_input=4936, right_input=-3770, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=3","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟6684⋣⋖⋋%⋟4780≀⩗∶(⋋%⋟5145∕⩚⋋%⋟1471)=⋋%⋟3","reverse_text":"⋋%⋟3=⋋%⋟6684⋣⋖⋋%⋟4780≀⩗∶(⋋%⋟5145∕⩚⋋%⋟1471)","cot":[{"info":"⋋%⋟6684⋣⋖⋋%⋟4780=⋋%⋟6684","layer":1},{"info":"⋋%⋟5145∕⩚⋋%⋟1471=⋋%⋟-5148","layer":1},{"info":"⋋%⋟6684≀⩗∶⋋%⋟-5148=⋋%⋟3","layer":0}]}
+{"id":697,"expression_no_base_symbol":"$5132$≎⪠$3885$≃($1280$⋻⩜⩜$1842$)","expression":"⋋%⋟7032≎⪠⋋%⋟5286≃(⋋%⋟1672⋻⩜⩜⋋%⋟2466)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":44918,"operation_count":3,"complexity_ratio":14972.666666666666,"tree":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":5132,"base":9},"right_expr":{"type":"numeric_atoms","value":3885,"base":9}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":1280,"base":9},"right_expr":{"type":"numeric_atoms","value":1842,"base":9}}},"used_operators":["YbVcJGFEVW","aNhz54LH3e","oDCm7WA9JY"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE"],"result":"⋋%⋟-128328","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=5132","layer":2},{"info":"number node, value=3885","layer":2},{"info":"compute binary expreesion, left_input=5132, right_input=3885, 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=1280","layer":2},{"info":"number node, value=1842","layer":2},{"info":"compute binary expreesion, left_input=1280, right_input=1842, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=2560","layer":1},{"info":"compute binary expreesion, left_input=19558, right_input=2560, 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=-78272","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟7032≎⪠⋋%⋟5286≃(⋋%⋟1672⋻⩜⩜⋋%⋟2466)=⋋%⋟-128328","reverse_text":"⋋%⋟-128328=⋋%⋟7032≎⪠⋋%⋟5286≃(⋋%⋟1672⋻⩜⩜⋋%⋟2466)","cot":[{"info":"⋋%⋟7032≎⪠⋋%⋟5286=⋋%⋟28741","layer":1},{"info":"⋋%⋟1672⋻⩜⩜⋋%⋟2466=⋋%⋟3454","layer":1},{"info":"⋋%⋟28741≃⋋%⋟3454=⋋%⋟-128328","layer":0}]}
+{"id":698,"expression_no_base_symbol":"$1673$⪃⊛⇣$1145$⋭≵$1272$⨽$1083$","expression":"⋋%⋟2258⪃⊛⇣⋋%⋟1512⋭≵⋋%⋟1663⨽⋋%⋟1433","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1910,"operation_count":3,"complexity_ratio":636.6666666666666,"tree":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":1673,"base":9},"right_expr":{"type":"numeric_atoms","value":1145,"base":9}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1272,"base":9},"right_expr":{"type":"numeric_atoms","value":1083,"base":9}}},"used_operators":["jBncVCNhdl","rrgAzCduG9","8HhzD0ZcuI"],"dependent_operators":["RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"⋋%⋟74","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1673","layer":2},{"info":"number node, value=1145","layer":2},{"info":"compute binary expreesion, left_input=1673, right_input=1145, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":1},{"info":"number node, value=1272","layer":2},{"info":"number node, value=1083","layer":2},{"info":"compute binary expreesion, left_input=1272, right_input=1083, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-4855887","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=-4855887, 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":9,"result_base":9,"text":"⋋%⋟2258⪃⊛⇣⋋%⋟1512⋭≵⋋%⋟1663⨽⋋%⋟1433=⋋%⋟74","reverse_text":"⋋%⋟74=⋋%⋟2258⪃⊛⇣⋋%⋟1512⋭≵⋋%⋟1663⨽⋋%⋟1433","cot":[{"info":"⋋%⋟2258⪃⊛⇣⋋%⋟1512=⋋%⋟1621","layer":1},{"info":"⋋%⋟1663⨽⋋%⋟1433=⋋%⋟-10121020","layer":1},{"info":"⋋%⋟1621⋭≵⋋%⋟-10121020=⋋%⋟74","layer":0}]}
+{"id":699,"expression_no_base_symbol":"($4369$≬⇓$4813$)∝($3637$⨳⩥⨓$1495$)","expression":"(⋋%⋟5884≬⇓⋋%⋟6537)∝(⋋%⋟4881⨳⩥⨓⋋%⋟2041)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":16,"operation_count":3,"complexity_ratio":5.333333333333333,"tree":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":4369,"base":9},"right_expr":{"type":"numeric_atoms","value":4813,"base":9}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3637,"base":9},"right_expr":{"type":"numeric_atoms","value":1495,"base":9}}},"used_operators":["cTDWOvIxvz","jWTQ2TZYIH","nCS4ZIUYfx"],"dependent_operators":["7j4O788W3g","W4YGzv6Whe","COABgblf1C","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","W4YGzv6Whe","rysDP5nf3Z"],"result":"⋋%⋟-18","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=4369","layer":2},{"info":"number node, value=4813","layer":2},{"info":"compute binary expreesion, left_input=4369, right_input=4813, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":1},{"info":"number node, value=3637","layer":2},{"info":"number node, value=1495","layer":2},{"info":"compute binary expreesion, left_input=3637, right_input=1495, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2142","layer":1},{"info":"compute binary expreesion, left_input=-22, right_input=-2142, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=-17","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟5884≬⇓⋋%⋟6537)∝(⋋%⋟4881⨳⩥⨓⋋%⋟2041)=⋋%⋟-18","reverse_text":"⋋%⋟-18=(⋋%⋟5884≬⇓⋋%⋟6537)∝(⋋%⋟4881⨳⩥⨓⋋%⋟2041)","cot":[{"info":"⋋%⋟5884≬⇓⋋%⋟6537=⋋%⋟-24","layer":1},{"info":"⋋%⋟4881⨳⩥⨓⋋%⋟2041=⋋%⋟-2840","layer":1},{"info":"⋋%⋟-24∝⋋%⋟-2840=⋋%⋟-18","layer":0}]}
+{"id":700,"expression_no_base_symbol":"$1812$⇻⋧≁$3692$⪭$1043$⊢$1004$","expression":"⋋%⋟2433⇻⋧≁⋋%⋟5052⪭⋋%⋟1378⊢⋋%⋟1335","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1865,"operation_count":3,"complexity_ratio":621.6666666666666,"tree":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":1812,"base":9},"right_expr":{"type":"numeric_atoms","value":3692,"base":9}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":1043,"base":9},"right_expr":{"type":"numeric_atoms","value":1004,"base":9}}},"used_operators":["j9kHMeSvPp","jCPkEVoL5K","5twsqlHp2o"],"dependent_operators":["COABgblf1C","xUOZtlo3hN","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC"],"result":"⋋%⋟333","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1812","layer":2},{"info":"number node, value=3692","layer":2},{"info":"compute binary expreesion, left_input=1812, right_input=3692, 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":"number node, value=1043","layer":2},{"info":"number node, value=1004","layer":2},{"info":"compute binary expreesion, left_input=1043, right_input=1004, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-2330","layer":1},{"info":"compute binary expreesion, left_input=-447, right_input=-2330, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=273","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟2433⇻⋧≁⋋%⋟5052⪭⋋%⋟1378⊢⋋%⋟1335=⋋%⋟333","reverse_text":"⋋%⋟333=⋋%⋟2433⇻⋧≁⋋%⋟5052⪭⋋%⋟1378⊢⋋%⋟1335","cot":[{"info":"⋋%⋟2433⇻⋧≁⋋%⋟5052=⋋%⋟-546","layer":1},{"info":"⋋%⋟1378⊢⋋%⋟1335=⋋%⋟-3168","layer":1},{"info":"⋋%⋟-546⪭⋋%⋟-3168=⋋%⋟333","layer":0}]}
+{"id":701,"expression_no_base_symbol":"($3753$⫸⊐$2778$)⩇∃⫛(⫎≠⋺$1469$)","expression":"(⋋%⋟5130⫸⊐⋋%⋟3726)⩇∃⫛(⫎≠⋺⋋%⋟2012)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":51,"operation_count":3,"complexity_ratio":17.0,"tree":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3753,"base":9},"right_expr":{"type":"numeric_atoms","value":2778,"base":9}},"right_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"numeric_atoms","value":1469,"base":9}}},"used_operators":["1aApVXNlOP","mqXw5SEYmG","LYeZOJ0nQG"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C"],"result":"⋋%⋟-15372","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3753","layer":2},{"info":"number node, value=2778","layer":2},{"info":"compute binary expreesion, left_input=3753, right_input=2778, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=10987","layer":1},{"info":"number node, value=1469","layer":2},{"info":"compute unary expreesion, input=1469, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=10987, right_input=0, 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=-10514","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟5130⫸⊐⋋%⋟3726)⩇∃⫛(⫎≠⋺⋋%⋟2012)=⋋%⋟-15372","reverse_text":"⋋%⋟-15372=(⋋%⋟5130⫸⊐⋋%⋟3726)⩇∃⫛(⫎≠⋺⋋%⋟2012)","cot":[{"info":"⋋%⋟5130⫸⊐⋋%⋟3726=⋋%⋟16057","layer":1},{"info":"⫎≠⋺⋋%⋟2012=⋋%⋟0","layer":1},{"info":"⋋%⋟16057⩇∃⫛⋋%⋟0=⋋%⋟-15372","layer":0}]}
+{"id":702,"expression_no_base_symbol":"($1889$⪕$3364$)⫞⩸⩒$5189$⇻⋧≁$1214$","expression":"(⋋%⋟2528⪕⋋%⋟4547)⫞⩸⩒⋋%⋟7105⇻⋧≁⋋%⋟1588","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5228,"operation_count":3,"complexity_ratio":1742.6666666666667,"tree":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":1889,"base":9},"right_expr":{"type":"numeric_atoms","value":3364,"base":9}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":5189,"base":9},"right_expr":{"type":"numeric_atoms","value":1214,"base":9}}},"used_operators":["XGcMNugi78","umQnsF7QlU","jCPkEVoL5K"],"dependent_operators":["VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe"],"result":"⋋%⋟1721","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1889","layer":2},{"info":"number node, value=3364","layer":2},{"info":"compute binary expreesion, left_input=1889, right_input=3364, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=1315","layer":1},{"info":"number node, value=5189","layer":2},{"info":"number node, value=1214","layer":2},{"info":"compute binary expreesion, left_input=5189, right_input=1214, 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=1315, right_input=-447, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=1315","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟2528⪕⋋%⋟4547)⫞⩸⩒⋋%⋟7105⇻⋧≁⋋%⋟1588=⋋%⋟1721","reverse_text":"⋋%⋟1721=(⋋%⋟2528⪕⋋%⋟4547)⫞⩸⩒⋋%⋟7105⇻⋧≁⋋%⋟1588","cot":[{"info":"⋋%⋟2528⪕⋋%⋟4547=⋋%⋟1721","layer":1},{"info":"⋋%⋟7105⇻⋧≁⋋%⋟1588=⋋%⋟-546","layer":1},{"info":"⋋%⋟1721⫞⩸⩒⋋%⋟-546=⋋%⋟1721","layer":0}]}
+{"id":703,"expression_no_base_symbol":"(⇜$8803$)⊲⩕⊾($2674$⋩≍≻)","expression":"(⇜⋋%⋟13061)⊲⩕⊾(⋋%⋟3601⋩≍≻)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":362,"operation_count":3,"complexity_ratio":120.66666666666667,"tree":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"numeric_atoms","value":8803,"base":9}},"right_expr":{"type":"unary","operator":"⋩≍≻","unary_expr":{"type":"numeric_atoms","value":2674,"base":9}}},"used_operators":["DmTXOeWf9t","lFBm8KRb8F","WYd1w68Nbz"],"dependent_operators":["23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","P8v4zCKN1o","Noe24qw2ks","mqXw5SEYmG","IWmyXbctLI","COABgblf1C"],"result":"⋋%⋟-221407","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=8803","layer":2},{"info":"compute unary expreesion, input=8803, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-70832","layer":1},{"info":"number node, value=2674","layer":2},{"info":"compute unary expreesion, input=2674, op_id = WYd1w68Nbz, unary_op_definition = 'a⋩≍≻ = { (∥⊫(a⊭↱21)) , if a>=390 ; ((a⨐a)⫸⊐(a⪮%⊝a)) , else }', output=-55","layer":1},{"info":"compute binary expreesion, left_input=-70832, right_input=-55, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-132280","layer":0}],"base":9,"result_base":9,"text":"(⇜⋋%⋟13061)⊲⩕⊾(⋋%⋟3601⋩≍≻)=⋋%⋟-221407","reverse_text":"⋋%⋟-221407=(⇜⋋%⋟13061)⊲⩕⊾(⋋%⋟3601⋩≍≻)","cot":[{"info":"⇜⋋%⋟13061=⋋%⋟-117142","layer":1},{"info":"⋋%⋟3601⋩≍≻=⋋%⋟-61","layer":1},{"info":"⋋%⋟-117142⊲⩕⊾⋋%⋟-61=⋋%⋟-221407","layer":0}]}
+{"id":704,"expression_no_base_symbol":"$1653$⪨⊡$2519$⨒$1445$↤⩊$1695$","expression":"⋋%⋟2236⪨⊡⋋%⋟3408⨒⋋%⋟1875↤⩊⋋%⋟2283","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":199,"operation_count":3,"complexity_ratio":66.33333333333333,"tree":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":1653,"base":9},"right_expr":{"type":"numeric_atoms","value":2519,"base":9}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":1445,"base":9},"right_expr":{"type":"numeric_atoms","value":1695,"base":9}}},"used_operators":["y75s1iXyHd","kuIXHzHcAH","13rbtpv6ld"],"dependent_operators":["srAu1WTS94","oacrs7FA3X","7qqUquhhSb","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1653","layer":2},{"info":"number node, value=2519","layer":2},{"info":"compute binary expreesion, left_input=1653, right_input=2519, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":1},{"info":"number node, value=1445","layer":2},{"info":"number node, value=1695","layer":2},{"info":"compute binary expreesion, left_input=1445, right_input=1695, 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=0, right_input=nan, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟2236⪨⊡⋋%⋟3408⨒⋋%⋟1875↤⩊⋋%⋟2283=NaN","reverse_text":"NaN=⋋%⋟2236⪨⊡⋋%⋟3408⨒⋋%⋟1875↤⩊⋋%⋟2283","cot":[{"info":"⋋%⋟2236⪨⊡⋋%⋟3408=⋋%⋟0","layer":1},{"info":"⋋%⋟1875↤⩊⋋%⋟2283=NaN","layer":1},{"info":"⋋%⋟0⨒NaN=NaN","layer":0}]}
+{"id":705,"expression_no_base_symbol":"($6915$⪒$2017$)↫","expression":"(⋋%⋟10433⪒⋋%⋟2681)↫","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5,"operation_count":2,"complexity_ratio":2.5,"tree":{"type":"unary","operator":"↫","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":6915,"base":9},"right_expr":{"type":"numeric_atoms","value":2017,"base":9}}},"used_operators":["uPb5QRN0te","f6k1SAg4EE"],"dependent_operators":["i8ToyICDmI","2DQ55sFlQl","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⋋%⋟-13224","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=6915","layer":2},{"info":"number node, value=2017","layer":2},{"info":"compute binary expreesion, left_input=6915, right_input=2017, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8932","layer":1},{"info":"compute unary expreesion, input=-8932, op_id = uPb5QRN0te, unary_op_definition = 'a↫ = { (a∲⫓a) , if (-a)>=333 ; (a⨵⪆a) , else }', output=-8932","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟10433⪒⋋%⋟2681)↫=⋋%⋟-13224","reverse_text":"⋋%⋟-13224=(⋋%⋟10433⪒⋋%⋟2681)↫","cot":[{"info":"⋋%⋟10433⪒⋋%⋟2681=⋋%⋟-13224","layer":1},{"info":"⋋%⋟-13224↫=⋋%⋟-13224","layer":0}]}
+{"id":706,"expression_no_base_symbol":"$4013$∌$3329$∠↢$2296$≹⇙⪍$3815$","expression":"⋋%⋟5448∌⋋%⋟4508∠↢⋋%⋟3131≹⇙⪍⋋%⋟5208","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":15,"operation_count":3,"complexity_ratio":5.0,"tree":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":4013,"base":9},"right_expr":{"type":"numeric_atoms","value":3329,"base":9}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2296,"base":9},"right_expr":{"type":"numeric_atoms","value":3815,"base":9}}},"used_operators":["KbjG8mgYpV","8cLx32lpNA","AHs5Up7iyr"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=4013","layer":2},{"info":"number node, value=3329","layer":2},{"info":"compute binary expreesion, left_input=4013, right_input=3329, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-3329","layer":1},{"info":"number node, value=2296","layer":2},{"info":"number node, value=3815","layer":2},{"info":"compute binary expreesion, left_input=2296, right_input=3815, 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 binary expreesion, left_input=-3329, 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":0}],"base":9,"result_base":9,"text":"⋋%⋟5448∌⋋%⋟4508∠↢⋋%⋟3131≹⇙⪍⋋%⋟5208=NaN","reverse_text":"NaN=⋋%⋟5448∌⋋%⋟4508∠↢⋋%⋟3131≹⇙⪍⋋%⋟5208","cot":[{"info":"⋋%⋟5448∌⋋%⋟4508=⋋%⋟-4508","layer":1},{"info":"⋋%⋟3131≹⇙⪍⋋%⋟5208=NaN","layer":1},{"info":"⋋%⋟-4508∠↢NaN=NaN","layer":0}]}
+{"id":707,"expression_no_base_symbol":"($2686$⊫∞)↫","expression":"(⋋%⋟3614⊫∞)↫","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":23139,"operation_count":2,"complexity_ratio":11569.5,"tree":{"type":"unary","operator":"↫","unary_expr":{"type":"unary","operator":"⊫∞","unary_expr":{"type":"numeric_atoms","value":2686,"base":9}}},"used_operators":["uPb5QRN0te","pABnYW3G3E"],"dependent_operators":["i8ToyICDmI","2DQ55sFlQl","t8gj7n24qd","fu6greOZ01","3sJ7IOPOlU","7YooWSwCyH","ivGwdmUAux"],"result":"⋋%⋟187","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2686","layer":2},{"info":"compute unary expreesion, input=2686, op_id = pABnYW3G3E, unary_op_definition = 'a⊫∞ = { ((a⨐⩸⫘149)⪇≇⋚(a∪⫐a)) , if (⫵↿a)>=80 ; a , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = uPb5QRN0te, unary_op_definition = 'a↫ = { (a∲⫓a) , if (-a)>=333 ; (a⨵⪆a) , else }', output=160","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟3614⊫∞)↫=⋋%⋟187","reverse_text":"⋋%⋟187=(⋋%⋟3614⊫∞)↫","cot":[{"info":"⋋%⋟3614⊫∞=⋋%⋟0","layer":1},{"info":"⋋%⋟0↫=⋋%⋟187","layer":0}]}
+{"id":708,"expression_no_base_symbol":"$1337$⪎↠$3716$⋖∅⋲","expression":"⋋%⋟1745⪎↠⋋%⋟5078⋖∅⋲","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":178,"operation_count":2,"complexity_ratio":89.0,"tree":{"type":"unary","operator":"⋖∅⋲","unary_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":1337,"base":9},"right_expr":{"type":"numeric_atoms","value":3716,"base":9}}},"used_operators":["L95AwlJzhO","3tVxb0NHM4"],"dependent_operators":["gx7XJ7hdpj","3nqY3DE9mg","XTarYq4gQB","y4ImoPnbV5","i8ToyICDmI","xNBdhnnwKq","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM"],"result":"⋋%⋟-645053","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1337","layer":2},{"info":"number node, value=3716","layer":2},{"info":"compute binary expreesion, left_input=1337, right_input=3716, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":1},{"info":"compute unary expreesion, input=160, op_id = L95AwlJzhO, unary_op_definition = 'a⋖∅⋲ = { ((⪝⪂⫅431)⊍) , if (a∲⫓500)>7 ; ((a∽304)⫸⇳(a⊭∹↮)) , else }', output=-384231","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟1745⪎↠⋋%⋟5078⋖∅⋲=⋋%⋟-645053","reverse_text":"⋋%⋟-645053=⋋%⋟1745⪎↠⋋%⋟5078⋖∅⋲","cot":[{"info":"⋋%⋟1745⪎↠⋋%⋟5078=⋋%⋟187","layer":1},{"info":"⋋%⋟187⋖∅⋲=⋋%⋟-645053","layer":0}]}
+{"id":709,"expression_no_base_symbol":"($2092$⊭↱$1168$)⋛(⩏⊷≩$1504$)","expression":"(⋋%⋟2774⊭↱⋋%⋟1537)⋛(⩏⊷≩⋋%⋟2051)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":287,"operation_count":3,"complexity_ratio":95.66666666666667,"tree":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2092,"base":9},"right_expr":{"type":"numeric_atoms","value":1168,"base":9}},"right_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"numeric_atoms","value":1504,"base":9}}},"used_operators":["YbUVn0Rbpy","COABgblf1C","uOZ1tnYMDE"],"dependent_operators":["d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","W4YGzv6Whe","t8gj7n24qd","23Mk6UjR3U","12rbrZMWeM"],"result":"⋋%⋟-223466","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2092","layer":2},{"info":"number node, value=1168","layer":2},{"info":"compute binary expreesion, left_input=2092, right_input=1168, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-1843","layer":1},{"info":"number node, value=1504","layer":2},{"info":"compute unary expreesion, input=1504, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=2707","layer":1},{"info":"compute binary expreesion, left_input=-1843, right_input=2707, 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":0}],"base":9,"result_base":9,"text":"(⋋%⋟2774⊭↱⋋%⋟1537)⋛(⩏⊷≩⋋%⋟2051)=⋋%⋟-223466","reverse_text":"⋋%⋟-223466=(⋋%⋟2774⊭↱⋋%⋟1537)⋛(⩏⊷≩⋋%⋟2051)","cot":[{"info":"⋋%⋟2774⊭↱⋋%⋟1537=⋋%⋟-2467","layer":1},{"info":"⩏⊷≩⋋%⋟2051=⋋%⋟3637","layer":1},{"info":"⋋%⋟-2467⋛⋋%⋟3637=⋋%⋟-223466","layer":0}]}
+{"id":710,"expression_no_base_symbol":"($3004$⪷)⫲⨊","expression":"(⋋%⋟4107⪷)⫲⨊","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3031,"operation_count":2,"complexity_ratio":1515.5,"tree":{"type":"unary","operator":"⫲⨊","unary_expr":{"type":"unary","operator":"⪷","unary_expr":{"type":"numeric_atoms","value":3004,"base":9}}},"used_operators":["CArV6hThFE","Qctrpi3WzA"],"dependent_operators":["WmT3o8z6ya","uFcxV4UQCh","2DDjHMKMc0","B3sABdIn96","X99M06cbEe","Nsiff2A1zJ"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=3004","layer":2},{"info":"compute unary expreesion, input=3004, op_id = Qctrpi3WzA, unary_op_definition = 'a⪷ = { (a⊴a) }', 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":9,"result_base":9,"text":"(⋋%⋟4107⪷)⫲⨊=NaN","reverse_text":"NaN=(⋋%⋟4107⪷)⫲⨊","cot":[{"info":"⋋%⋟4107⪷=NaN","layer":1},{"info":"NaN⫲⨊=NaN","layer":0}]}
+{"id":711,"expression_no_base_symbol":"$1025$↢$2195$⨭⪣($1584$⋻⩜⩜$3547$)","expression":"⋋%⋟1358↢⋋%⋟3008⨭⪣(⋋%⋟2150⋻⩜⩜⋋%⋟4771)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":49709,"operation_count":3,"complexity_ratio":16569.666666666668,"tree":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":1025,"base":9},"right_expr":{"type":"numeric_atoms","value":2195,"base":9}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":1584,"base":9},"right_expr":{"type":"numeric_atoms","value":3547,"base":9}}},"used_operators":["kn8WO9XteQ","WR6HLWljOP","oDCm7WA9JY"],"dependent_operators":["vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE"],"result":"⋋%⋟-1010","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1025","layer":2},{"info":"number node, value=2195","layer":2},{"info":"compute binary expreesion, left_input=1025, right_input=2195, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=541","layer":1},{"info":"number node, value=1584","layer":2},{"info":"number node, value=3547","layer":2},{"info":"compute binary expreesion, left_input=1584, right_input=3547, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=3168","layer":1},{"info":"compute binary expreesion, left_input=541, right_input=3168, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-738","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟1358↢⋋%⋟3008⨭⪣(⋋%⋟2150⋻⩜⩜⋋%⋟4771)=⋋%⋟-1010","reverse_text":"⋋%⋟-1010=⋋%⋟1358↢⋋%⋟3008⨭⪣(⋋%⋟2150⋻⩜⩜⋋%⋟4771)","cot":[{"info":"⋋%⋟1358↢⋋%⋟3008=⋋%⋟661","layer":1},{"info":"⋋%⋟2150⋻⩜⩜⋋%⋟4771=⋋%⋟4310","layer":1},{"info":"⋋%⋟661⨭⪣⋋%⋟4310=⋋%⋟-1010","layer":0}]}
+{"id":712,"expression_no_base_symbol":"($4826$⨑⩅≇$2682$)⪬($1739$∠⫱$4727$)","expression":"(⋋%⋟6552⨑⩅≇⋋%⋟3610)⪬(⋋%⋟2342∠⫱⋋%⋟6432)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3311,"operation_count":3,"complexity_ratio":1103.6666666666667,"tree":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":4826,"base":9},"right_expr":{"type":"numeric_atoms","value":2682,"base":9}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":1739,"base":9},"right_expr":{"type":"numeric_atoms","value":4727,"base":9}}},"used_operators":["Ez1Nq5fNfI","h92wMvzauj","QvoQhV0rrE"],"dependent_operators":["eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP"],"result":"⋋%⋟1621","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=4826","layer":2},{"info":"number node, value=2682","layer":2},{"info":"compute binary expreesion, left_input=4826, right_input=2682, 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=-14478","layer":1},{"info":"number node, value=1739","layer":2},{"info":"number node, value=4727","layer":2},{"info":"compute binary expreesion, left_input=1739, right_input=4727, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":1},{"info":"compute binary expreesion, left_input=-14478, right_input=1234, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟6552⨑⩅≇⋋%⋟3610)⪬(⋋%⋟2342∠⫱⋋%⋟6432)=⋋%⋟1621","reverse_text":"⋋%⋟1621=(⋋%⋟6552⨑⩅≇⋋%⋟3610)⪬(⋋%⋟2342∠⫱⋋%⋟6432)","cot":[{"info":"⋋%⋟6552⨑⩅≇⋋%⋟3610=⋋%⋟-21766","layer":1},{"info":"⋋%⋟2342∠⫱⋋%⋟6432=⋋%⋟1621","layer":1},{"info":"⋋%⋟-21766⪬⋋%⋟1621=⋋%⋟1621","layer":0}]}
+{"id":713,"expression_no_base_symbol":"$3514$⊮⊟↴$2630$≫≃","expression":"⋋%⋟4734⊮⊟↴⋋%⋟3542≫≃","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":49,"operation_count":2,"complexity_ratio":24.5,"tree":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":3514,"base":9},"right_expr":{"type":"numeric_atoms","value":2630,"base":9}}},"used_operators":["X99M06cbEe","QDVgd2eftb"],"dependent_operators":["2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK"],"result":"⋋%⋟1826","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3514","layer":2},{"info":"number node, value=2630","layer":2},{"info":"compute binary expreesion, left_input=3514, right_input=2630, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=1401","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟4734⊮⊟↴⋋%⋟3542≫≃=⋋%⋟1826","reverse_text":"⋋%⋟1826=⋋%⋟4734⊮⊟↴⋋%⋟3542≫≃","cot":[{"info":"⋋%⋟4734⊮⊟↴⋋%⋟3542=⋋%⋟0","layer":1},{"info":"⋋%⋟0≫≃=⋋%⋟1826","layer":0}]}
+{"id":714,"expression_no_base_symbol":"($4045$≎⊠⪸$1917$)⩇∃⫛$5627$⩁⩘$1424$","expression":"(⋋%⋟5484≎⊠⪸⋋%⋟2560)⩇∃⫛⋋%⋟7642⩁⩘⋋%⋟1852","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":303,"operation_count":3,"complexity_ratio":101.0,"tree":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":4045,"base":9},"right_expr":{"type":"numeric_atoms","value":1917,"base":9}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":5627,"base":9},"right_expr":{"type":"numeric_atoms","value":1424,"base":9}}},"used_operators":["1aApVXNlOP","bJkvcejdHO","gub5Cegaqo"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","DpFCA1CohY","IWmyXbctLI"],"result":"⋋%⋟-1854627","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=4045","layer":2},{"info":"number node, value=1917","layer":2},{"info":"compute binary expreesion, left_input=4045, right_input=1917, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1047182","layer":1},{"info":"number node, value=5627","layer":2},{"info":"number node, value=1424","layer":2},{"info":"compute binary expreesion, left_input=5627, right_input=1424, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=6644","layer":1},{"info":"compute binary expreesion, left_input=1047182, right_input=6644, 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=-1040065","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟5484≎⊠⪸⋋%⋟2560)⩇∃⫛⋋%⋟7642⩁⩘⋋%⋟1852=⋋%⋟-1854627","reverse_text":"⋋%⋟-1854627=(⋋%⋟5484≎⊠⪸⋋%⋟2560)⩇∃⫛⋋%⋟7642⩁⩘⋋%⋟1852","cot":[{"info":"⋋%⋟5484≎⊠⪸⋋%⋟2560=⋋%⋟1865415","layer":1},{"info":"⋋%⋟7642⩁⩘⋋%⋟1852=⋋%⋟10102","layer":1},{"info":"⋋%⋟1865415⩇∃⫛⋋%⋟10102=⋋%⋟-1854627","layer":0}]}
+{"id":715,"expression_no_base_symbol":"⇜($3090$∖$1933$)","expression":"⇜(⋋%⋟4213∖⋋%⋟2577)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1275,"operation_count":2,"complexity_ratio":637.5,"tree":{"type":"unary","operator":"⇜","unary_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":3090,"base":9},"right_expr":{"type":"numeric_atoms","value":1933,"base":9}}},"used_operators":["lFBm8KRb8F","tXD093vOjl"],"dependent_operators":["s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC"],"result":"⋋%⋟277","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3090","layer":2},{"info":"number node, value=1933","layer":2},{"info":"compute binary expreesion, left_input=3090, right_input=1933, 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 = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=232","layer":0}],"base":9,"result_base":9,"text":"⇜(⋋%⋟4213∖⋋%⋟2577)=⋋%⋟277","reverse_text":"⋋%⋟277=⇜(⋋%⋟4213∖⋋%⋟2577)","cot":[{"info":"⋋%⋟4213∖⋋%⋟2577=⋋%⋟0","layer":1},{"info":"⇜⋋%⋟0=⋋%⋟277","layer":0}]}
+{"id":716,"expression_no_base_symbol":"$1881$⇄$4449$⇄$1621$≎⪠$4671$","expression":"⋋%⋟2520⇄⋋%⋟6083⇄⋋%⋟2201≎⪠⋋%⋟6360","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":19114,"operation_count":3,"complexity_ratio":6371.333333333333,"tree":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":1881,"base":9},"right_expr":{"type":"numeric_atoms","value":4449,"base":9}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":1621,"base":9},"right_expr":{"type":"numeric_atoms","value":4671,"base":9}}},"used_operators":["3EYGwJThht","aNhz54LH3e"],"dependent_operators":["eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF"],"result":"⋋%⋟-28143","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1881","layer":2},{"info":"number node, value=4449","layer":2},{"info":"compute binary expreesion, left_input=1881, right_input=4449, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":1},{"info":"number node, value=1621","layer":2},{"info":"number node, value=4671","layer":2},{"info":"compute binary expreesion, left_input=1621, right_input=4671, 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=0, right_input=19558, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=-19074","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟2520⇄⋋%⋟6083⇄⋋%⋟2201≎⪠⋋%⋟6360=⋋%⋟-28143","reverse_text":"⋋%⋟-28143=⋋%⋟2520⇄⋋%⋟6083⇄⋋%⋟2201≎⪠⋋%⋟6360","cot":[{"info":"⋋%⋟2520⇄⋋%⋟6083=⋋%⋟0","layer":1},{"info":"⋋%⋟2201≎⪠⋋%⋟6360=⋋%⋟28741","layer":1},{"info":"⋋%⋟0⇄⋋%⋟28741=⋋%⋟-28143","layer":0}]}
+{"id":717,"expression_no_base_symbol":"($4188$⊀⩕)⊋$5627$≁↽≥$8209$","expression":"(⋋%⋟5663⊀⩕)⊋⋋%⋟7642≁↽≥⋋%⋟12231","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1361,"operation_count":3,"complexity_ratio":453.6666666666667,"tree":{"type":"binary","operator":"⊋","left_expr":{"type":"unary","operator":"⊀⩕","unary_expr":{"type":"numeric_atoms","value":4188,"base":9}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":5627,"base":9},"right_expr":{"type":"numeric_atoms","value":8209,"base":9}}},"used_operators":["W4tP9CfskL","r0FS3hW4cC","ncHt1X6cMc"],"dependent_operators":["2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","rGHVDoGpnC","nhYeJWJD5X","oWn0xqSxBt","3Oe9XWJUTD"],"result":"⋋%⋟0","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=4188","layer":2},{"info":"compute unary expreesion, input=4188, op_id = r0FS3hW4cC, unary_op_definition = 'a⊀⩕ = { (a⨟⋌⩍(181∇⊂⋱a)) }', output=0","layer":1},{"info":"number node, value=5627","layer":2},{"info":"number node, value=8209","layer":2},{"info":"compute binary expreesion, left_input=5627, right_input=8209, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=94337","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=94337, 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=0","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟5663⊀⩕)⊋⋋%⋟7642≁↽≥⋋%⋟12231=⋋%⋟0","reverse_text":"⋋%⋟0=(⋋%⋟5663⊀⩕)⊋⋋%⋟7642≁↽≥⋋%⋟12231","cot":[{"info":"⋋%⋟5663⊀⩕=⋋%⋟0","layer":1},{"info":"⋋%⋟7642≁↽≥⋋%⋟12231=⋋%⋟153358","layer":1},{"info":"⋋%⋟0⊋⋋%⋟153358=⋋%⋟0","layer":0}]}
+{"id":718,"expression_no_base_symbol":"(⩦⊞$1213$)⊉≛↸(↡$2230$)","expression":"(⩦⊞⋋%⋟1587)⊉≛↸(↡⋋%⋟3047)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":27,"operation_count":3,"complexity_ratio":9.0,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"numeric_atoms","value":1213,"base":9}},"right_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"numeric_atoms","value":2230,"base":9}}},"used_operators":["DZ8iAZOCBD","u7fv1HBiaC","MXaNJeIAZ3"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx"],"result":"⋋%⋟-30470","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1213","layer":2},{"info":"compute unary expreesion, input=1213, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-940","layer":1},{"info":"number node, value=2230","layer":2},{"info":"compute unary expreesion, input=2230, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=20070","layer":1},{"info":"compute binary expreesion, left_input=-940, right_input=20070, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-20070","layer":0}],"base":9,"result_base":9,"text":"(⩦⊞⋋%⋟1587)⊉≛↸(↡⋋%⋟3047)=⋋%⋟-30470","reverse_text":"⋋%⋟-30470=(⩦⊞⋋%⋟1587)⊉≛↸(↡⋋%⋟3047)","cot":[{"info":"⩦⊞⋋%⋟1587=⋋%⋟-1254","layer":1},{"info":"↡⋋%⋟3047=⋋%⋟30470","layer":1},{"info":"⋋%⋟-1254⊉≛↸⋋%⋟30470=⋋%⋟-30470","layer":0}]}
+{"id":719,"expression_no_base_symbol":"($3111$⊨$1660$)⇤($2300$⫢⨠$1094$)","expression":"(⋋%⋟4236⊨⋋%⋟2244)⇤(⋋%⋟3135⫢⨠⋋%⋟1445)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":90,"operation_count":3,"complexity_ratio":30.0,"tree":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":3111,"base":9},"right_expr":{"type":"numeric_atoms","value":1660,"base":9}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":2300,"base":9},"right_expr":{"type":"numeric_atoms","value":1094,"base":9}}},"used_operators":["YSKBFp38Pu","vg4gO5BX6G","xlXykHWxX1"],"dependent_operators":["rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx"],"result":"⋋%⋟-108545","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3111","layer":2},{"info":"number node, value=1660","layer":2},{"info":"compute binary expreesion, left_input=3111, right_input=1660, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=13475","layer":1},{"info":"number node, value=2300","layer":2},{"info":"number node, value=1094","layer":2},{"info":"compute binary expreesion, left_input=2300, right_input=1094, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":1},{"info":"compute binary expreesion, left_input=13475, right_input=160, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-65327","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟4236⊨⋋%⋟2244)⇤(⋋%⋟3135⫢⨠⋋%⋟1445)=⋋%⋟-108545","reverse_text":"⋋%⋟-108545=(⋋%⋟4236⊨⋋%⋟2244)⇤(⋋%⋟3135⫢⨠⋋%⋟1445)","cot":[{"info":"⋋%⋟4236⊨⋋%⋟2244=⋋%⋟20432","layer":1},{"info":"⋋%⋟3135⫢⨠⋋%⋟1445=⋋%⋟187","layer":1},{"info":"⋋%⋟20432⇤⋋%⋟187=⋋%⋟-108545","layer":0}]}
+{"id":720,"expression_no_base_symbol":"∷≠(⫶⊄≣$3252$)","expression":"∷≠(⫶⊄≣⋋%⋟4413)","highest_n_order":2,"priority_hierarchical_complexity":1,"normalized_expansion_degree":3281,"operation_count":2,"complexity_ratio":1640.5,"tree":{"type":"unary","operator":"∷≠","unary_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"numeric_atoms","value":3252,"base":9}}},"used_operators":["QiR2Oyf5Xj","wxb3vTeyAj"],"dependent_operators":["7j4O788W3g","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI"],"result":"⋋%⋟437261271","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3252","layer":2},{"info":"compute unary expreesion, input=3252, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=190414297","layer":1},{"info":"compute unary expreesion, input=190414297, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=190414297","layer":0}],"base":9,"result_base":9,"text":"∷≠(⫶⊄≣⋋%⋟4413)=⋋%⋟437261271","reverse_text":"⋋%⋟437261271=∷≠(⫶⊄≣⋋%⋟4413)","cot":[{"info":"⫶⊄≣⋋%⋟4413=⋋%⋟437261271","layer":1},{"info":"∷≠⋋%⋟437261271=⋋%⋟437261271","layer":0}]}
+{"id":721,"expression_no_base_symbol":"⪨⨬($3415$↢$7104$)","expression":"⪨⨬(⋋%⋟4614↢⋋%⋟10663)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":34,"operation_count":2,"complexity_ratio":17.0,"tree":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":3415,"base":9},"right_expr":{"type":"numeric_atoms","value":7104,"base":9}}},"used_operators":["5obUd6DV38","WR6HLWljOP"],"dependent_operators":["T2fj7uvVaJ","nlCqmYiOvY","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C"],"result":"⋋%⋟-644","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=3415","layer":2},{"info":"number node, value=7104","layer":2},{"info":"compute binary expreesion, left_input=3415, right_input=7104, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=2931","layer":1},{"info":"compute unary expreesion, input=2931, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":0}],"base":9,"result_base":9,"text":"⪨⨬(⋋%⋟4614↢⋋%⋟10663)=⋋%⋟-644","reverse_text":"⋋%⋟-644=⪨⨬(⋋%⋟4614↢⋋%⋟10663)","cot":[{"info":"⋋%⋟4614↢⋋%⋟10663=⋋%⋟4016","layer":1},{"info":"⪨⨬⋋%⋟4016=⋋%⋟-644","layer":0}]}
+{"id":722,"expression_no_base_symbol":"($3896$≀⩗∶$5466$)⇻⋧≁($1205$⫢⨠$3789$)","expression":"(⋋%⋟5308≀⩗∶⋋%⋟7443)⇻⋧≁(⋋%⋟1578⫢⨠⋋%⋟5170)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":109,"operation_count":3,"complexity_ratio":36.333333333333336,"tree":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":3896,"base":9},"right_expr":{"type":"numeric_atoms","value":5466,"base":9}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":1205,"base":9},"right_expr":{"type":"numeric_atoms","value":3789,"base":9}}},"used_operators":["jCPkEVoL5K","8INZBEW696","xlXykHWxX1"],"dependent_operators":["eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx"],"result":"⋋%⋟-546","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3896","layer":2},{"info":"number node, value=5466","layer":2},{"info":"compute binary expreesion, left_input=3896, right_input=5466, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=-3","layer":1},{"info":"number node, value=1205","layer":2},{"info":"number node, value=3789","layer":2},{"info":"compute binary expreesion, left_input=1205, right_input=3789, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":1},{"info":"compute binary expreesion, left_input=-3, right_input=160, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟5308≀⩗∶⋋%⋟7443)⇻⋧≁(⋋%⋟1578⫢⨠⋋%⋟5170)=⋋%⋟-546","reverse_text":"⋋%⋟-546=(⋋%⋟5308≀⩗∶⋋%⋟7443)⇻⋧≁(⋋%⋟1578⫢⨠⋋%⋟5170)","cot":[{"info":"⋋%⋟5308≀⩗∶⋋%⋟7443=⋋%⋟-3","layer":1},{"info":"⋋%⋟1578⫢⨠⋋%⋟5170=⋋%⋟187","layer":1},{"info":"⋋%⋟-3⇻⋧≁⋋%⋟187=⋋%⋟-546","layer":0}]}
+{"id":723,"expression_no_base_symbol":"(∑⇻≧$7396$)↓(≻⋜$5117$)","expression":"(∑⇻≧⋋%⋟11127)↓(≻⋜⋋%⋟7015)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":26629,"operation_count":3,"complexity_ratio":8876.333333333334,"tree":{"type":"binary","operator":"↓","left_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"numeric_atoms","value":7396,"base":9}},"right_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"numeric_atoms","value":5117,"base":9}}},"used_operators":["Af076pWI7l","l1M9WJ3V7u","3tj9sqzovi"],"dependent_operators":["nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ"],"result":"⋋%⋟-158","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=7396","layer":2},{"info":"compute unary expreesion, input=7396, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":1},{"info":"number node, value=5117","layer":2},{"info":"compute unary expreesion, input=5117, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-852, right_input=nan, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":0}],"base":9,"result_base":9,"text":"(∑⇻≧⋋%⋟11127)↓(≻⋜⋋%⋟7015)=⋋%⋟-158","reverse_text":"⋋%⋟-158=(∑⇻≧⋋%⋟11127)↓(≻⋜⋋%⋟7015)","cot":[{"info":"∑⇻≧⋋%⋟11127=⋋%⋟-1146","layer":1},{"info":"≻⋜⋋%⋟7015=NaN","layer":1},{"info":"⋋%⋟-1146↓NaN=⋋%⋟-158","layer":0}]}
+{"id":724,"expression_no_base_symbol":"$2505$⪔⊥$4033$⪨≂(⇙⪊$4002$)","expression":"⋋%⋟3383⪔⊥⋋%⋟5471⪨≂(⇙⪊⋋%⋟5436)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":30,"operation_count":3,"complexity_ratio":10.0,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":2505,"base":9},"right_expr":{"type":"numeric_atoms","value":4033,"base":9}},"right_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"numeric_atoms","value":4002,"base":9}}},"used_operators":["sdazOOVcIp","HJ9erzHUuu","pB6Fcnrjim"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z"],"result":"⋋%⋟4853","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=2505","layer":2},{"info":"number node, value=4033","layer":2},{"info":"compute binary expreesion, left_input=2505, right_input=4033, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=1755","layer":1},{"info":"number node, value=4002","layer":2},{"info":"compute unary expreesion, input=4002, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=1755, 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=3612","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟3383⪔⊥⋋%⋟5471⪨≂(⇙⪊⋋%⋟5436)=⋋%⋟4853","reverse_text":"⋋%⋟4853=⋋%⋟3383⪔⊥⋋%⋟5471⪨≂(⇙⪊⋋%⋟5436)","cot":[{"info":"⋋%⋟3383⪔⊥⋋%⋟5471=⋋%⋟2360","layer":1},{"info":"⇙⪊⋋%⋟5436=⋋%⋟0","layer":1},{"info":"⋋%⋟2360⪨≂⋋%⋟0=⋋%⋟4853","layer":0}]}
+{"id":725,"expression_no_base_symbol":"($3630$↺$1318$)⩷∴$1575$∳⫺$3375$","expression":"(⋋%⋟4873↺⋋%⋟1724)⩷∴⋋%⋟2140∳⫺⋋%⋟4560","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":47,"operation_count":3,"complexity_ratio":15.666666666666666,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":3630,"base":9},"right_expr":{"type":"numeric_atoms","value":1318,"base":9}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":1575,"base":9},"right_expr":{"type":"numeric_atoms","value":3375,"base":9}}},"used_operators":["9FxExcQeMw","7j4O788W3g","AzXXKTstlj"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT"],"result":"⋋%⋟4565","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=3630","layer":2},{"info":"number node, value=1318","layer":2},{"info":"compute binary expreesion, left_input=3630, right_input=1318, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1318","layer":1},{"info":"number node, value=1575","layer":2},{"info":"number node, value=3375","layer":2},{"info":"compute binary expreesion, left_input=1575, right_input=3375, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-388","layer":1},{"info":"compute binary expreesion, left_input=1318, right_input=-388, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=3380","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟4873↺⋋%⋟1724)⩷∴⋋%⋟2140∳⫺⋋%⋟4560=⋋%⋟4565","reverse_text":"⋋%⋟4565=(⋋%⋟4873↺⋋%⋟1724)⩷∴⋋%⋟2140∳⫺⋋%⋟4560","cot":[{"info":"⋋%⋟4873↺⋋%⋟1724=⋋%⋟1724","layer":1},{"info":"⋋%⋟2140∳⫺⋋%⋟4560=⋋%⋟-471","layer":1},{"info":"⋋%⋟1724⩷∴⋋%⋟-471=⋋%⋟4565","layer":0}]}
+{"id":726,"expression_no_base_symbol":"($4959$⫦⪉$1762$)⫰⋱($7512$⊧↖)","expression":"(⋋%⋟6720⫦⪉⋋%⋟2367)⫰⋱(⋋%⋟11266⊧↖)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7591,"operation_count":3,"complexity_ratio":2530.3333333333335,"tree":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":4959,"base":9},"right_expr":{"type":"numeric_atoms","value":1762,"base":9}},"right_expr":{"type":"unary","operator":"⊧↖","unary_expr":{"type":"numeric_atoms","value":7512,"base":9}}},"used_operators":["6o9Blt3TJ6","wscyQdcy20","EKiFHuOFxO"],"dependent_operators":["W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","5twsqlHp2o","dfKe02y8D2","8HhzD0ZcuI"],"result":"⋋%⋟6832","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=4959","layer":2},{"info":"number node, value=1762","layer":2},{"info":"compute binary expreesion, left_input=4959, right_input=1762, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-5018","layer":1},{"info":"number node, value=7512","layer":2},{"info":"compute unary expreesion, input=7512, op_id = EKiFHuOFxO, unary_op_definition = 'a⊧↖ = { ((a⨽a)⊢(a⫚↹⊑79)) }', output=338623064","layer":1},{"info":"compute binary expreesion, left_input=-5018, right_input=338623064, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=5051","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟6720⫦⪉⋋%⋟2367)⫰⋱(⋋%⋟11266⊧↖)=⋋%⋟6832","reverse_text":"⋋%⋟6832=(⋋%⋟6720⫦⪉⋋%⋟2367)⫰⋱(⋋%⋟11266⊧↖)","cot":[{"info":"⋋%⋟6720⫦⪉⋋%⋟2367=⋋%⋟-6785","layer":1},{"info":"⋋%⋟11266⊧↖=⋋%⋟777154458","layer":1},{"info":"⋋%⋟-6785⫰⋱⋋%⋟777154458=⋋%⋟6832","layer":0}]}
+{"id":727,"expression_no_base_symbol":"$1835$≴⪞⇿$1553$≑≱⪘","expression":"⋋%⋟2458≴⪞⇿⋋%⋟2115≑≱⪘","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1703,"operation_count":2,"complexity_ratio":851.5,"tree":{"type":"unary","operator":"≑≱⪘","unary_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":1835,"base":9},"right_expr":{"type":"numeric_atoms","value":1553,"base":9}}},"used_operators":["tGSeddj7UK","lvlrscuwVU"],"dependent_operators":["9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP"],"result":"⋋%⋟284655775","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1835","layer":2},{"info":"number node, value=1553","layer":2},{"info":"compute binary expreesion, left_input=1835, right_input=1553, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=4879922","layer":1},{"info":"compute unary expreesion, input=4879922, 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=126874337","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟2458≴⪞⇿⋋%⋟2115≑≱⪘=⋋%⋟284655775","reverse_text":"⋋%⋟284655775=⋋%⋟2458≴⪞⇿���%⋟2115≑≱⪘","cot":[{"info":"⋋%⋟2458≴⪞⇿⋋%⋟2115=⋋%⋟10156885","layer":1},{"info":"⋋%⋟10156885≑≱⪘=⋋%⋟284655775","layer":0}]}
+{"id":728,"expression_no_base_symbol":"($3651$⊾⪯⋞$5704$)∠⫱(⩰$3609$)","expression":"(⋋%⋟5006⊾⪯⋞⋋%⋟7737)∠⫱(⩰⋋%⋟4850)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":67,"operation_count":3,"complexity_ratio":22.333333333333332,"tree":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":3651,"base":9},"right_expr":{"type":"numeric_atoms","value":5704,"base":9}},"right_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"numeric_atoms","value":3609,"base":9}}},"used_operators":["QvoQhV0rrE","HK0tfVPux8","WkeUrDK8WX"],"dependent_operators":["eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI"],"result":"⋋%⋟23343","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3651","layer":2},{"info":"number node, value=5704","layer":2},{"info":"compute binary expreesion, left_input=3651, right_input=5704, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=10982","layer":1},{"info":"number node, value=3609","layer":2},{"info":"compute unary expreesion, input=3609, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-4609","layer":1},{"info":"compute binary expreesion, left_input=10982, right_input=-4609, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=15591","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟5006⊾⪯⋞⋋%⋟7737)∠⫱(⩰⋋%⋟4850)=⋋%⋟23343","reverse_text":"⋋%⋟23343=(⋋%⋟5006⊾⪯⋞⋋%⋟7737)∠⫱(⩰⋋%⋟4850)","cot":[{"info":"⋋%⋟5006⊾⪯⋞⋋%⋟7737=⋋%⋟16052","layer":1},{"info":"⩰⋋%⋟4850=⋋%⋟-6281","layer":1},{"info":"⋋%⋟16052∠⫱⋋%⋟-6281=⋋%⋟23343","layer":0}]}
+{"id":729,"expression_no_base_symbol":"($5801$⫦⪉$4855$)⋝⋈⪟(↣≠⋷$4454$)","expression":"(⋋%⋟7855⫦⪉⋋%⋟6584)⋝⋈⪟(↣≠⋷⋋%⋟6088)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":29,"operation_count":3,"complexity_ratio":9.666666666666666,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":5801,"base":9},"right_expr":{"type":"numeric_atoms","value":4855,"base":9}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":4454,"base":9}}},"used_operators":["2DDjHMKMc0","wscyQdcy20","Asc51vEJeQ"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","XhwjNDsVaA","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=5801","layer":2},{"info":"number node, value=4855","layer":2},{"info":"compute binary expreesion, left_input=5801, right_input=4855, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-6702","layer":1},{"info":"number node, value=4454","layer":2},{"info":"compute unary expreesion, input=4454, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-6702, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟7855⫦⪉⋋%⋟6584)⋝⋈⪟(↣≠⋷⋋%⋟6088)=NaN","reverse_text":"NaN=(⋋%⋟7855⫦⪉⋋%⋟6584)⋝⋈⪟(↣≠⋷⋋%⋟6088)","cot":[{"info":"⋋%⋟7855⫦⪉⋋%⋟6584=⋋%⋟-10166","layer":1},{"info":"↣≠⋷⋋%⋟6088=NaN","layer":1},{"info":"⋋%⋟-10166⋝⋈⪟NaN=NaN","layer":0}]}
+{"id":730,"expression_no_base_symbol":"($3145$⋩≍≻)⪡(⨞⊢$1518$)","expression":"(⋋%⋟4274⋩≍≻)⪡(⨞⊢⋋%⋟2066)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":16,"operation_count":3,"complexity_ratio":5.333333333333333,"tree":{"type":"binary","operator":"⪡","left_expr":{"type":"unary","operator":"⋩≍≻","unary_expr":{"type":"numeric_atoms","value":3145,"base":9}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1518,"base":9}}},"used_operators":["oraRL2iQuh","WYd1w68Nbz","xUOZtlo3hN"],"dependent_operators":["2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","P8v4zCKN1o","Noe24qw2ks","mqXw5SEYmG","IWmyXbctLI","COABgblf1C","W4YGzv6Whe","t8gj7n24qd"],"result":"⋋%⋟-2855","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3145","layer":2},{"info":"compute unary expreesion, input=3145, op_id = WYd1w68Nbz, unary_op_definition = 'a⋩≍≻ = { (∥⊫(a⊭↱21)) , if a>=390 ; ((a⨐a)⫸⊐(a⪮%⊝a)) , else }', output=-55","layer":1},{"info":"number node, value=1518","layer":2},{"info":"compute unary expreesion, input=1518, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1692","layer":1},{"info":"compute binary expreesion, left_input=-55, right_input=-1692, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=-2156","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟4274⋩≍≻)⪡(⨞⊢⋋%⋟2066)=⋋%⋟-2855","reverse_text":"⋋%⋟-2855=(⋋%⋟4274⋩≍≻)⪡(⨞⊢⋋%⋟2066)","cot":[{"info":"⋋%⋟4274⋩≍≻=⋋%⋟-61","layer":1},{"info":"⨞⊢⋋%⋟2066=⋋%⋟-2280","layer":1},{"info":"⋋%⋟-61⪡⋋%⋟-2280=⋋%⋟-2855","layer":0}]}
+{"id":731,"expression_no_base_symbol":"($3245$⫸⇳$2499$)⇣⩺⋵$2676$⨪↰⇹$1587$","expression":"(⋋%⋟4405⫸⇳⋋%⋟3376)⇣⩺⋵⋋%⋟3603⨪↰⇹⋋%⋟2153","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2725,"operation_count":3,"complexity_ratio":908.3333333333334,"tree":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":3245,"base":9},"right_expr":{"type":"numeric_atoms","value":2499,"base":9}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2676,"base":9},"right_expr":{"type":"numeric_atoms","value":1587,"base":9}}},"used_operators":["F4yD0voBRQ","gx7XJ7hdpj","tmPS8pqC7x"],"dependent_operators":["NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","rJVOvQCfKK"],"result":"⋋%⋟-7227","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3245","layer":2},{"info":"number node, value=2499","layer":2},{"info":"compute binary expreesion, left_input=3245, right_input=2499, 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=2676","layer":2},{"info":"number node, value=1587","layer":2},{"info":"compute binary expreesion, left_input=2676, right_input=1587, 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=2676","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=2676, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-5290","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟4405⫸⇳⋋%⋟3376)⇣⩺⋵⋋%⋟3603⨪↰⇹⋋%⋟2153=⋋%⋟-7227","reverse_text":"⋋%⋟-7227=(⋋%⋟4405⫸⇳⋋%⋟3376)⇣⩺⋵⋋%⋟3603⨪↰⇹⋋%⋟2153","cot":[{"info":"⋋%⋟4405⫸⇳⋋%⋟3376=⋋%⋟0","layer":1},{"info":"⋋%⋟3603⨪↰⇹⋋%⋟2153=⋋%⋟3603","layer":1},{"info":"⋋%⋟0⇣⩺⋵⋋%⋟3603=⋋%⋟-7227","layer":0}]}
+{"id":732,"expression_no_base_symbol":"($1043$⇉⇉)≁↽≥(⩏⊷≩$5357$)","expression":"(⋋%⋟1378⇉⇉)≁↽≥(⩏⊷≩⋋%⋟7312)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":98,"operation_count":3,"complexity_ratio":32.666666666666664,"tree":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"unary","operator":"⇉⇉","unary_expr":{"type":"numeric_atoms","value":1043,"base":9}},"right_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"numeric_atoms","value":5357,"base":9}}},"used_operators":["ncHt1X6cMc","diKm42VcIt","uOZ1tnYMDE"],"dependent_operators":["oWn0xqSxBt","3Oe9XWJUTD","RygbFNSyEJ","XPYlsWDdGa","k8jYdgA6NY","xUOZtlo3hN","AFVx7xoS7T","iuk5sVOGFA","86A5ENbKR9","23Mk6UjR3U","12rbrZMWeM"],"result":"⋋%⋟-1508307","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1043","layer":2},{"info":"compute unary expreesion, input=1043, op_id = diKm42VcIt, unary_op_definition = 'a⇉⇉ = { (⪸(⨞⊢(a≦↸a))) , if (a⪣⫩)!=30 ; (a%(⪲⇎(a⇌⫙⪟156))) , else }', output=-56180","layer":1},{"info":"number node, value=5357","layer":2},{"info":"compute unary expreesion, input=5357, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=10413","layer":1},{"info":"compute binary expreesion, left_input=-56180, right_input=10413, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=-832768","layer":0}],"base":9,"result_base":9,"text":"(⋋%���1378⇉⇉)≁↽≥(⩏⊷≩⋋%⋟7312)=⋋%⋟-1508307","reverse_text":"⋋%⋟-1508307=(⋋%⋟1378⇉⇉)≁↽≥(⩏⊷≩⋋%⋟7312)","cot":[{"info":"⋋%⋟1378⇉⇉=⋋%⋟-85052","layer":1},{"info":"⩏⊷≩⋋%⋟7312=⋋%⋟15250","layer":1},{"info":"⋋%⋟-85052≁↽≥⋋%⋟15250=⋋%⋟-1508307","layer":0}]}
+{"id":733,"expression_no_base_symbol":"($9708$≚⊃≕$3847$)⨜⨶$6397$⨑⩅≇$1299$","expression":"(⋋%⋟14276≚⊃≕⋋%⋟5244)⨜⨶⋋%⋟8687⨑⩅≇⋋%⋟1703","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1389,"operation_count":3,"complexity_ratio":463.0,"tree":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":9708,"base":9},"right_expr":{"type":"numeric_atoms","value":3847,"base":9}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":6397,"base":9},"right_expr":{"type":"numeric_atoms","value":1299,"base":9}}},"used_operators":["HiPekx5b7W","Bmrmz2XGnR","h92wMvzauj"],"dependent_operators":["N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq"],"result":"⋋%⋟-182855","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=9708","layer":2},{"info":"number node, value=3847","layer":2},{"info":"compute binary expreesion, left_input=9708, right_input=3847, 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":"number node, value=6397","layer":2},{"info":"number node, value=1299","layer":2},{"info":"compute binary expreesion, left_input=6397, right_input=1299, 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=-19191","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=-19191, 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=-113693","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟14276≚⊃≕⋋%⋟5244)⨜⨶⋋%⋟8687⨑⩅≇⋋%⋟1703=⋋%⋟-182855","reverse_text":"⋋%⋟-182855=(⋋%⋟14276≚⊃≕⋋%⋟5244)⨜⨶⋋%⋟8687⨑⩅≇⋋%⋟1703","cot":[{"info":"⋋%⋟14276≚⊃≕⋋%⋟5244=⋋%⋟74","layer":1},{"info":"⋋%⋟8687⨑⩅≇⋋%⋟1703=⋋%⋟-28283","layer":1},{"info":"⋋%⋟74⨜⨶⋋%⋟-28283=⋋%⋟-182855","layer":0}]}
+{"id":734,"expression_no_base_symbol":"($1151$∖$3352$)∌↝($1989$∕⩚$5366$)","expression":"(⋋%⋟1518∖⋋%⋟4534)∌↝(⋋%⋟2650∕⩚⋋%⋟7322)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2464,"operation_count":3,"complexity_ratio":821.3333333333334,"tree":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":1151,"base":9},"right_expr":{"type":"numeric_atoms","value":3352,"base":9}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":1989,"base":9},"right_expr":{"type":"numeric_atoms","value":5366,"base":9}}},"used_operators":["9Isq31Ruls","tXD093vOjl","z9ffQ9n5Zr"],"dependent_operators":["DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr"],"result":"⋋%⋟0","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1151","layer":2},{"info":"number node, value=3352","layer":2},{"info":"compute binary expreesion, left_input=1151, right_input=3352, 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":"number node, value=1989","layer":2},{"info":"number node, value=5366","layer":2},{"info":"compute binary expreesion, left_input=1989, right_input=5366, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-1992","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-1992, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟1518∖⋋%⋟4534)∌↝(⋋%⋟2650∕⩚⋋%⋟7322)=⋋%⋟0","reverse_text":"⋋%⋟0=(⋋%⋟1518∖⋋%⋟4534)∌↝(⋋%⋟2650∕⩚⋋%⋟7322)","cot":[{"info":"⋋%⋟1518∖⋋%⋟4534=⋋%⋟0","layer":1},{"info":"⋋%⋟2650∕⩚⋋%⋟7322=⋋%⋟-2653","layer":1},{"info":"⋋%⋟0∌↝⋋%⋟-2653=⋋%⋟0","layer":0}]}
+{"id":735,"expression_no_base_symbol":"($3211$⨽$7946$)+⇶⊼$2746$⊉↱≁$1758$","expression":"(⋋%⋟4357⨽⋋%⋟11808)+⇶⊼⋋%⋟3681⊉↱≁⋋%⋟2363","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3246,"operation_count":3,"complexity_ratio":1082.0,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3211,"base":9},"right_expr":{"type":"numeric_atoms","value":7946,"base":9}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":2746,"base":9},"right_expr":{"type":"numeric_atoms","value":1758,"base":9}}},"used_operators":["TpPTUOHfaN","8HhzD0ZcuI","w2P8NbNXyL"],"dependent_operators":["AHs5Up7iyr","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3211","layer":2},{"info":"number node, value=7946","layer":2},{"info":"compute binary expreesion, left_input=3211, right_input=7946, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-30954087","layer":1},{"info":"number node, value=2746","layer":2},{"info":"number node, value=1758","layer":2},{"info":"compute binary expreesion, left_input=2746, right_input=1758, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=16860","layer":1},{"info":"compute binary expreesion, left_input=-30954087, right_input=16860, 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":9,"result_base":9,"text":"(⋋%⋟4357⨽⋋%⋟11808)+⇶⊼⋋%⋟3681⊉↱≁⋋%⋟2363=NaN","reverse_text":"NaN=(⋋%⋟4357⨽⋋%⋟11808)+⇶⊼⋋%⋟3681⊉↱≁⋋%⋟2363","cot":[{"info":"⋋%⋟4357⨽⋋%⋟11808=⋋%⋟-64218020","layer":1},{"info":"⋋%⋟3681⊉↱≁⋋%⋟2363=⋋%⋟25113","layer":1},{"info":"⋋%⋟-64218020+⇶⊼⋋%⋟25113=NaN","layer":0}]}
+{"id":736,"expression_no_base_symbol":"$6125$⫯⪬∳$1628$⨪↰⇹($1275$⪡$3557$)","expression":"⋋%⋟8355⫯⪬∳⋋%⋟2208⨪↰⇹(⋋%⋟1666⪡⋋%⋟4782)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":29056,"operation_count":3,"complexity_ratio":9685.333333333334,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":6125,"base":9},"right_expr":{"type":"numeric_atoms","value":1628,"base":9}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":1275,"base":9},"right_expr":{"type":"numeric_atoms","value":3557,"base":9}}},"used_operators":["tmPS8pqC7x","d7ASUq0ydm","oraRL2iQuh"],"dependent_operators":["rJVOvQCfKK","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R"],"result":"⋋%⋟43735","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=6125","layer":2},{"info":"number node, value=1628","layer":2},{"info":"compute binary expreesion, left_input=6125, right_input=1628, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=29030","layer":1},{"info":"number node, value=1275","layer":2},{"info":"number node, value=3557","layer":2},{"info":"compute binary expreesion, left_input=1275, right_input=3557, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":1},{"info":"compute binary expreesion, left_input=29030, right_input=107, 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=29030","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟8355⫯⪬∳⋋%⋟2208⨪↰⇹(⋋%⋟1666⪡⋋%⋟4782)=⋋%⋟43735","reverse_text":"⋋%⋟43735=⋋%⋟8355⫯⪬∳⋋%⋟2208⨪↰⇹(⋋%⋟1666⪡⋋%⋟4782)","cot":[{"info":"⋋%⋟8355⫯⪬∳⋋%⋟2208=⋋%⋟43735","layer":1},{"info":"⋋%⋟1666⪡⋋%⋟4782=⋋%⋟128","layer":1},{"info":"⋋%⋟43735⨪↰⇹⋋%⋟128=⋋%⋟43735","layer":0}]}
+{"id":737,"expression_no_base_symbol":"$3842$⇡⇂$1668$∕⩚(⊢≑≆$4639$)","expression":"⋋%⋟5238⇡⇂⋋%⋟2253∕⩚(⊢≑≆⋋%⋟6324)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":11814,"operation_count":3,"complexity_ratio":3938.0,"tree":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":3842,"base":9},"right_expr":{"type":"numeric_atoms","value":1668,"base":9}},"right_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"numeric_atoms","value":4639,"base":9}}},"used_operators":["z9ffQ9n5Zr","UMwdvZNt44","27wFxooxGf"],"dependent_operators":["3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3842","layer":2},{"info":"number node, value=1668","layer":2},{"info":"compute binary expreesion, left_input=3842, right_input=1668, 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=4639","layer":2},{"info":"compute unary expreesion, input=4639, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=19008","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=19008, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=nan","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟5238⇡⇂⋋%⋟2253∕⩚(⊢≑≆⋋%⋟6324)=NaN","reverse_text":"NaN=⋋%⋟5238⇡⇂⋋%⋟2253∕⩚(⊢≑≆⋋%⋟6324)","cot":[{"info":"⋋%⋟5238⇡⇂⋋%⋟2253=NaN","layer":1},{"info":"⊢≑≆⋋%⋟6324=⋋%⋟28060","layer":1},{"info":"NaN∕⩚⋋%⋟28060=NaN","layer":0}]}
+{"id":738,"expression_no_base_symbol":"$1269$⊕∕$1469$↼⊘⨖($1389$∙⊟$3965$)","expression":"⋋%⋟1660⊕∕⋋%⋟2012↼⊘⨖(⋋%⋟1813∙⊟⋋%⋟5385)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1467,"operation_count":3,"complexity_ratio":489.0,"tree":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":1269,"base":9},"right_expr":{"type":"numeric_atoms","value":1469,"base":9}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":1389,"base":9},"right_expr":{"type":"numeric_atoms","value":3965,"base":9}}},"used_operators":["bPywburJMS","9cloC0Ngie","SxTAKzQCrw"],"dependent_operators":["9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF"],"result":"⋋%⋟84220","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1269","layer":2},{"info":"number node, value=1469","layer":2},{"info":"compute binary expreesion, left_input=1269, right_input=1469, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=1269","layer":1},{"info":"number node, value=1389","layer":2},{"info":"number node, value=3965","layer":2},{"info":"compute binary expreesion, left_input=1389, right_input=3965, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=27903","layer":1},{"info":"compute binary expreesion, left_input=1269, right_input=27903, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=55584","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟1660⊕∕⋋%⋟2012↼⊘⨖(⋋%⋟1813∙⊟⋋%⋟5385)=⋋%⋟84220","reverse_text":"⋋%⋟84220=⋋%⋟1660⊕∕⋋%⋟2012↼⊘⨖(⋋%⋟1813∙⊟⋋%⋟5385)","cot":[{"info":"⋋%⋟1660⊕∕⋋%⋟2012=⋋%⋟1660","layer":1},{"info":"⋋%⋟1813∙⊟⋋%⋟5385=⋋%⋟42243","layer":1},{"info":"⋋%⋟1660↼⊘⨖⋋%⋟42243=⋋%⋟84220","layer":0}]}
+{"id":739,"expression_no_base_symbol":"(⇠$9405$)∊∟⩊(≻⋜$4220$)","expression":"(⇠⋋%⋟13810)∊∟⩊(≻⋜⋋%⋟5708)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":24859,"operation_count":3,"complexity_ratio":8286.333333333334,"tree":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"numeric_atoms","value":9405,"base":9}},"right_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"numeric_atoms","value":4220,"base":9}}},"used_operators":["ddLRYrp01A","18saOjeKKm","3tj9sqzovi"],"dependent_operators":["59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ"],"result":"⋋%⋟18","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=9405","layer":2},{"info":"compute unary expreesion, input=9405, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-9163","layer":1},{"info":"number node, value=4220","layer":2},{"info":"compute unary expreesion, input=4220, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-9163, right_input=nan, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=17","layer":0}],"base":9,"result_base":9,"text":"(⇠⋋%⋟13810)∊∟⩊(≻⋜⋋%⋟5708)=⋋%⋟18","reverse_text":"⋋%⋟18=(⇠⋋%⋟13810)∊∟⩊(≻⋜⋋%⋟5708)","cot":[{"info":"⇠⋋%⋟13810=⋋%⋟-13511","layer":1},{"info":"≻⋜⋋%⋟5708=NaN","layer":1},{"info":"⋋%⋟-13511∊∟⩊NaN=⋋%⋟18","layer":0}]}
+{"id":740,"expression_no_base_symbol":"$1138$↬$3978$⋝⋈⪟($5502$%$1743$)","expression":"⋋%⋟1504↬⋋%⋟5410⋝⋈⪟(⋋%⋟7483%⋋%⋟2346)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7,"operation_count":3,"complexity_ratio":2.3333333333333335,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1138,"base":9},"right_expr":{"type":"numeric_atoms","value":3978,"base":9}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":5502,"base":9},"right_expr":{"type":"numeric_atoms","value":1743,"base":9}}},"used_operators":["2DDjHMKMc0","B5M0gjZbta","k8jYdgA6NY"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1138","layer":2},{"info":"number node, value=3978","layer":2},{"info":"compute binary expreesion, left_input=1138, right_input=3978, 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=5502","layer":2},{"info":"number node, value=1743","layer":2},{"info":"compute binary expreesion, left_input=5502, right_input=1743, op_id = k8jYdgA6NY binary_op_definition= 'None', output=273","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=273, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟1504↬⋋%⋟5410⋝⋈⪟(⋋%⋟7483%⋋%⋟2346)=NaN","reverse_text":"NaN=⋋%⋟1504↬⋋%⋟5410⋝⋈⪟(⋋%⋟7483%⋋%⋟2346)","cot":[{"info":"⋋%⋟1504↬⋋%⋟5410=NaN","layer":1},{"info":"⋋%⋟7483%⋋%⋟2346=⋋%⋟333","layer":1},{"info":"NaN⋝⋈⪟⋋%⋟333=NaN","layer":0}]}
+{"id":741,"expression_no_base_symbol":"($2799$∌↝$5161$)⪎↠($3816$⪮%⊝$2040$)","expression":"(⋋%⋟3750∌↝⋋%⋟7064)⪎↠(⋋%⋟5210⪮%⊝⋋%⋟2716)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":32,"operation_count":3,"complexity_ratio":10.666666666666666,"tree":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":2799,"base":9},"right_expr":{"type":"numeric_atoms","value":5161,"base":9}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3816,"base":9},"right_expr":{"type":"numeric_atoms","value":2040,"base":9}}},"used_operators":["3tVxb0NHM4","9Isq31Ruls","IWmyXbctLI"],"dependent_operators":["P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"⋋%⋟1164","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2799","layer":2},{"info":"number node, value=5161","layer":2},{"info":"compute binary expreesion, left_input=2799, right_input=5161, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":1},{"info":"number node, value=3816","layer":2},{"info":"number node, value=2040","layer":2},{"info":"compute binary expreesion, left_input=3816, right_input=2040, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=7948","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=7948, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=868","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟3750∌↝⋋%⋟7064)⪎↠(⋋%⋟5210⪮%⊝⋋%⋟2716)=⋋%⋟1164","reverse_text":"⋋%⋟1164=(⋋%⋟3750∌↝⋋%⋟7064)⪎↠(⋋%⋟5210⪮%⊝⋋%⋟2716)","cot":[{"info":"⋋%⋟3750∌↝⋋%⋟7064=⋋%⋟0","layer":1},{"info":"⋋%⋟5210⪮%⊝⋋%⋟2716=⋋%⋟11811","layer":1},{"info":"⋋%⋟0⪎↠⋋%⋟11811=⋋%⋟1164","layer":0}]}
+{"id":742,"expression_no_base_symbol":"($1273$≃$6472$)⪚($3997$⊬⫿⊭)","expression":"(⋋%⋟1664≃⋋%⋟8781)⪚(⋋%⋟5431⊬⫿⊭)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":54,"operation_count":3,"complexity_ratio":18.0,"tree":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":1273,"base":9},"right_expr":{"type":"numeric_atoms","value":6472,"base":9}},"right_expr":{"type":"unary","operator":"⊬⫿⊭","unary_expr":{"type":"numeric_atoms","value":3997,"base":9}}},"used_operators":["HrjLwUk87U","YbVcJGFEVW","v0DYgG9ikt"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","eLAdDNolq6","P8v4zCKN1o","7j4O788W3g","8w2t5hMYqp","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG"],"result":"⋋%⋟13781","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1273","layer":2},{"info":"number node, value=6472","layer":2},{"info":"compute binary expreesion, left_input=1273, right_input=6472, 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=-5132","layer":1},{"info":"number node, value=3997","layer":2},{"info":"compute unary expreesion, input=3997, op_id = v0DYgG9ikt, unary_op_definition = 'a⊬⫿⊭ = { ((⨑⩽⪐(≤/a))↺((⨞⊢a)⨰(↽≂188))) , if a<119 ; (((∥⊫a)⨳⩥⨓(a⨵⪆a))↺(⊄⩳↩(a⋝⋈⪟a))) , else }', output=-11991","layer":1},{"info":"compute binary expreesion, left_input=-5132, right_input=-11991, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=9388","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟1664≃⋋%⋟8781)⪚(⋋%⋟5431⊬⫿⊭)=⋋%⋟13781","reverse_text":"⋋%⋟13781=(⋋%⋟1664≃⋋%⋟8781)⪚(⋋%⋟5431⊬⫿⊭)","cot":[{"info":"⋋%⋟1664≃⋋%⋟8781=⋋%⋟-7032","layer":1},{"info":"⋋%⋟5431⊬⫿⊭=⋋%⋟-17403","layer":1},{"info":"⋋%⋟-7032⪚⋋%⋟-17403=⋋%⋟13781","layer":0}]}
+{"id":743,"expression_no_base_symbol":"⋗⩬⋾$1012$⪝$4885$","expression":"⋗⩬⋾⋋%⋟1344⪝⋋%⋟6627","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":419,"operation_count":2,"complexity_ratio":209.5,"tree":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":1012,"base":9},"right_expr":{"type":"numeric_atoms","value":4885,"base":9}}},"used_operators":["DpFCA1CohY","wicAB68Tmb"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X"],"result":"⋋%⋟-870","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1012","layer":2},{"info":"number node, value=4885","layer":2},{"info":"compute binary expreesion, left_input=1012, right_input=4885, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":1},{"info":"compute unary expreesion, input=237, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-711","layer":0}],"base":9,"result_base":9,"text":"⋗⩬⋾⋋%⋟1344⪝⋋%⋟6627=⋋%⋟-870","reverse_text":"⋋%⋟-870=⋗⩬⋾⋋%⋟1344⪝⋋%⋟6627","cot":[{"info":"⋋%⋟1344⪝⋋%⋟6627=⋋%⋟283","layer":1},{"info":"⋗⩬⋾⋋%⋟283=⋋%⋟-870","layer":0}]}
+{"id":744,"expression_no_base_symbol":"(⊁⨺$2750$)⫰⋱$1048$∺≝⩲$5491$","expression":"(⊁⨺⋋%⋟3685)⫰⋱⋋%⋟1384∺≝⩲⋋%⋟7471","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":29,"operation_count":3,"complexity_ratio":9.666666666666666,"tree":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"numeric_atoms","value":2750,"base":9}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":1048,"base":9},"right_expr":{"type":"numeric_atoms","value":5491,"base":9}}},"used_operators":["6o9Blt3TJ6","PxiHyQbrIp","KPf6cnQVty"],"dependent_operators":["W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl"],"result":"⋋%⋟-151","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2750","layer":2},{"info":"compute unary expreesion, input=2750, 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":"number node, value=1048","layer":2},{"info":"number node, value=5491","layer":2},{"info":"compute binary expreesion, left_input=1048, right_input=5491, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=160, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-127","layer":0}],"base":9,"result_base":9,"text":"(⊁⨺⋋%⋟3685)⫰⋱⋋%⋟1384∺≝⩲⋋%⋟7471=⋋%⋟-151","reverse_text":"⋋%⋟-151=(⊁⨺⋋%⋟3685)⫰⋱⋋%⋟1384∺≝⩲⋋%⋟7471","cot":[{"info":"⊁⨺⋋%⋟3685=⋋%⋟187","layer":1},{"info":"⋋%⋟1384∺≝⩲⋋%⋟7471=⋋%⋟187","layer":1},{"info":"⋋%⋟187⫰⋱⋋%⋟187=⋋%⋟-151","layer":0}]}
+{"id":745,"expression_no_base_symbol":"⨙⪌($2544$⪪$2030$)","expression":"⨙⪌(⋋%⋟3436⪪⋋%⋟2705)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":8669,"operation_count":2,"complexity_ratio":4334.5,"tree":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":2544,"base":9},"right_expr":{"type":"numeric_atoms","value":2030,"base":9}}},"used_operators":["vEGLkm4Z2k","xD69zh8xqp"],"dependent_operators":["tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","FU0Cs4j7VP","JclMnS0uGI"],"result":"⋋%⋟1164","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2544","layer":2},{"info":"number node, value=2030","layer":2},{"info":"compute binary expreesion, left_input=2544, right_input=2030, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-380233","layer":1},{"info":"compute unary expreesion, input=-380233, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":0}],"base":9,"result_base":9,"text":"⨙⪌(⋋%⋟3436⪪⋋%⋟2705)=⋋%⋟1164","reverse_text":"⋋%⋟1164=⨙⪌(⋋%⋟3436⪪⋋%⋟2705)","cot":[{"info":"⋋%⋟3436⪪⋋%⋟2705=⋋%⋟-638521","layer":1},{"info":"⨙⪌⋋%⋟-638521=⋋%⋟1164","layer":0}]}
+{"id":746,"expression_no_base_symbol":"($1632$⪉⨛$3408$)⪘⫢$3360$⊝⪿⪼$4228$","expression":"(⋋%⋟2213⪉⨛⋋%⋟4606)⪘⫢⋋%⋟4543⊝⪿⪼⋋%⋟5717","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":60,"operation_count":3,"complexity_ratio":20.0,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":1632,"base":9},"right_expr":{"type":"numeric_atoms","value":3408,"base":9}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":3360,"base":9},"right_expr":{"type":"numeric_atoms","value":4228,"base":9}}},"used_operators":["oacrs7FA3X","EWw2JM7wp4","3Oe9XWJUTD"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q"],"result":"⋋%⋟4446","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1632","layer":2},{"info":"number node, value=3408","layer":2},{"info":"compute binary expreesion, left_input=1632, right_input=3408, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=1703","layer":1},{"info":"number node, value=3360","layer":2},{"info":"number node, value=4228","layer":2},{"info":"compute binary expreesion, left_input=3360, right_input=4228, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=60332","layer":1},{"info":"compute binary expreesion, left_input=1703, right_input=60332, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3282","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟2213⪉⨛⋋%⋟4606)⪘⫢⋋%⋟4543⊝⪿⪼⋋%⋟5717=⋋%⋟4446","reverse_text":"⋋%⋟4446=(⋋%⋟2213⪉⨛⋋%⋟4606)⪘⫢⋋%⋟4543⊝⪿⪼⋋%⋟5717","cot":[{"info":"⋋%⋟2213⪉⨛⋋%⋟4606=⋋%⋟2302","layer":1},{"info":"⋋%⋟4543⊝⪿⪼⋋%⋟5717=⋋%⋟101675","layer":1},{"info":"⋋%⋟2302⪘⫢⋋%⋟101675=⋋%⋟4446","layer":0}]}
+{"id":747,"expression_no_base_symbol":"(⊗$4209$)��≇⋚($5999$⇮⋭$1859$)","expression":"(⊗⋋%⋟5686)⪇≇⋚(⋋%⋟8205⇮⋭⋋%⋟2485)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":83,"operation_count":3,"complexity_ratio":27.666666666666668,"tree":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"numeric_atoms","value":4209,"base":9}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":5999,"base":9},"right_expr":{"type":"numeric_atoms","value":1859,"base":9}}},"used_operators":["3sJ7IOPOlU","RhiyfpczSx","vkpjKywKVM"],"dependent_operators":["DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW"],"result":"⋋%⋟0","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=4209","layer":2},{"info":"compute unary expreesion, input=4209, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-8418","layer":1},{"info":"number node, value=5999","layer":2},{"info":"number node, value=1859","layer":2},{"info":"compute binary expreesion, left_input=5999, right_input=1859, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":1},{"info":"compute binary expreesion, left_input=-8418, right_input=-473, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":0}],"base":9,"result_base":9,"text":"(⊗⋋%⋟5686)⪇≇⋚(⋋%⋟8205⇮⋭⋋%⋟2485)=⋋%⋟0","reverse_text":"⋋%⋟0=(⊗⋋%⋟5686)⪇≇⋚(⋋%⋟8205⇮⋭⋋%⋟2485)","cot":[{"info":"⊗⋋%⋟5686=⋋%⋟-12483","layer":1},{"info":"⋋%⋟8205⇮⋭⋋%⋟2485=⋋%⋟-575","layer":1},{"info":"⋋%⋟-12483⪇≇⋚⋋%⋟-575=⋋%⋟0","layer":0}]}
+{"id":748,"expression_no_base_symbol":"⨵($1526$∊∟⩊$1285$)","expression":"⨵(⋋%⋟2075∊∟⩊⋋%⋟1677)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":55,"operation_count":2,"complexity_ratio":27.5,"tree":{"type":"unary","operator":"⨵","unary_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":1526,"base":9},"right_expr":{"type":"numeric_atoms","value":1285,"base":9}}},"used_operators":["Tl3Y52tvF8","ddLRYrp01A"],"dependent_operators":["gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU"],"result":"⋋%⋟-16675","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1526","layer":2},{"info":"number node, value=1285","layer":2},{"info":"compute binary expreesion, left_input=1526, right_input=1285, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=1285","layer":1},{"info":"compute unary expreesion, input=1285, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=-11489","layer":0}],"base":9,"result_base":9,"text":"⨵(⋋%⋟2075∊∟⩊⋋%⋟1677)=⋋%⋟-16675","reverse_text":"⋋%⋟-16675=⨵(⋋%⋟2075∊∟⩊⋋%⋟1677)","cot":[{"info":"⋋%⋟2075∊∟⩊⋋%⋟1677=⋋%⋟1677","layer":1},{"info":"⨵⋋%⋟1677=⋋%⋟-16675","layer":0}]}
+{"id":749,"expression_no_base_symbol":"(→⩰$1931$)⋳⪒$5745$⪛$6422$","expression":"(→⩰⋋%⋟2575)⋳⪒⋋%⋟7783⪛⋋%⋟8725","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2326,"operation_count":3,"complexity_ratio":775.3333333333334,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"numeric_atoms","value":1931,"base":9}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":5745,"base":9},"right_expr":{"type":"numeric_atoms","value":6422,"base":9}}},"used_operators":["12rbrZMWeM","o8Pngz0Tml","uFcxV4UQCh"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1931","layer":2},{"info":"compute unary expreesion, input=1931, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":1},{"info":"number node, value=5745","layer":2},{"info":"number node, value=6422","layer":2},{"info":"compute binary expreesion, left_input=5745, right_input=6422, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=5745","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=5745, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(→⩰⋋%⋟2575)⋳⪒⋋%⋟7783⪛⋋%⋟8725=NaN","reverse_text":"NaN=(→⩰⋋%⋟2575)⋳⪒⋋%⋟7783⪛⋋%⋟8725","cot":[{"info":"→⩰⋋%⋟2575=NaN","layer":1},{"info":"⋋%⋟7783⪛⋋%⋟8725=⋋%⋟7783","layer":1},{"info":"NaN⋳⪒⋋%⋟7783=NaN","layer":0}]}
+{"id":750,"expression_no_base_symbol":"($1094$⇴∐$3360$)⪮%⊝($1355$⨳⩥⨓$2665$)","expression":"(⋋%⋟1445⇴∐⋋%⋟4543)⪮%⊝(⋋%⋟1765⨳⩥⨓⋋%⋟3581)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":38,"operation_count":3,"complexity_ratio":12.666666666666666,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":1094,"base":9},"right_expr":{"type":"numeric_atoms","value":3360,"base":9}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1355,"base":9},"right_expr":{"type":"numeric_atoms","value":2665,"base":9}}},"used_operators":["IWmyXbctLI","HnzytWxmAO","nCS4ZIUYfx"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1094","layer":2},{"info":"number node, value=3360","layer":2},{"info":"compute binary expreesion, left_input=1094, right_input=3360, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":1},{"info":"number node, value=1355","layer":2},{"info":"number node, value=2665","layer":2},{"info":"compute binary expreesion, left_input=1355, right_input=2665, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1310","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1310, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟1445⇴∐⋋%⋟4543)⪮%⊝(⋋%⋟1765⨳⩥⨓⋋%⋟3581)=NaN","reverse_text":"NaN=(⋋%⋟1445⇴∐⋋%⋟4543)⪮%⊝(⋋%⋟1765⨳⩥⨓⋋%⋟3581)","cot":[{"info":"⋋%⋟1445⇴∐⋋%⋟4543=NaN","layer":1},{"info":"⋋%⋟1765⨳⩥⨓⋋%⋟3581=⋋%⋟1715","layer":1},{"info":"NaN⪮%⊝⋋%⋟1715=NaN","layer":0}]}
+{"id":751,"expression_no_base_symbol":"(≦∁$1625$)≌(≘$2808$)","expression":"(≦∁⋋%⋟2205)≌(≘⋋%⋟3760)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":335,"operation_count":3,"complexity_ratio":111.66666666666667,"tree":{"type":"binary","operator":"≌","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1625,"base":9}},"right_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"numeric_atoms","value":2808,"base":9}}},"used_operators":["lyWz822IDG","9ICcGScMcE","tcjXMdvYtA"],"dependent_operators":["B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1625","layer":2},{"info":"compute unary expreesion, input=1625, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1625","layer":1},{"info":"number node, value=2808","layer":2},{"info":"compute unary expreesion, input=2808, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=6192424","layer":1},{"info":"compute binary expreesion, left_input=1625, right_input=6192424, 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":9,"result_base":9,"text":"(≦∁⋋%⋟2205)≌(≘⋋%⋟3760)=NaN","reverse_text":"NaN=(≦∁⋋%⋟2205)≌(≘⋋%⋟3760)","cot":[{"info":"≦∁⋋%⋟2205=⋋%⋟2205","layer":1},{"info":"≘⋋%⋟3760=⋋%⋟12577361","layer":1},{"info":"⋋%⋟2205≌⋋%⋟12577361=NaN","layer":0}]}
+{"id":752,"expression_no_base_symbol":"(⨮↦↱$2220$)⫯⪬∳($4148$⩷∴$1249$)","expression":"(⨮↦↱⋋%⋟3036)⫯⪬∳(⋋%⋟5618⩷∴⋋%⋟1637)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1790,"operation_count":3,"complexity_ratio":596.6666666666666,"tree":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"numeric_atoms","value":2220,"base":9}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":4148,"base":9},"right_expr":{"type":"numeric_atoms","value":1249,"base":9}}},"used_operators":["d7ASUq0ydm","sYcpBQ0cFf","9FxExcQeMw"],"dependent_operators":["Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","rysDP5nf3Z"],"result":"⋋%⋟55454644","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2220","layer":2},{"info":"compute unary expreesion, input=2220, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-8948322","layer":1},{"info":"number node, value=4148","layer":2},{"info":"number node, value=1249","layer":2},{"info":"compute binary expreesion, left_input=4148, right_input=1249, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=5766","layer":1},{"info":"compute binary expreesion, left_input=-8948322, right_input=5766, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=26844493","layer":0}],"base":9,"result_base":9,"text":"(⨮↦↱⋋%⋟3036)⫯⪬∳(⋋%⋟5618⩷∴⋋%⋟1637)=⋋%⋟55454644","reverse_text":"⋋%⋟55454644=(⨮↦↱⋋%⋟3036)⫯⪬∳(⋋%⋟5618⩷∴⋋%⋟1637)","cot":[{"info":"⨮↦↱⋋%⋟3036=⋋%⋟-17747710","layer":1},{"info":"⋋%⋟5618⩷∴⋋%⋟1637=⋋%⋟7816","layer":1},{"info":"⋋%⋟-17747710⫯⪬∳⋋%⋟7816=⋋%⋟55454644","layer":0}]}
+{"id":753,"expression_no_base_symbol":"($2056$⋭≵$2201$)∌(⨙⪌$6391$)","expression":"(⋋%⋟2734⋭≵⋋%⋟3015)∌(⨙⪌⋋%⋟8681)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":969,"operation_count":3,"complexity_ratio":323.0,"tree":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":2056,"base":9},"right_expr":{"type":"numeric_atoms","value":2201,"base":9}},"right_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"numeric_atoms","value":6391,"base":9}}},"used_operators":["8cLx32lpNA","jBncVCNhdl","vEGLkm4Z2k"],"dependent_operators":["N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X"],"result":"⋋%⋟-1164","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2056","layer":2},{"info":"number node, value=2201","layer":2},{"info":"compute binary expreesion, left_input=2056, right_input=2201, 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":"number node, value=6391","layer":2},{"info":"compute unary expreesion, input=6391, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=868, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-868","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟2734⋭≵⋋%⋟3015)∌(⨙⪌⋋%⋟8681)=⋋%⋟-1164","reverse_text":"⋋%⋟-1164=(⋋%⋟2734⋭≵⋋%⋟3015)∌(⨙⪌⋋%⋟8681)","cot":[{"info":"⋋%⋟2734⋭≵⋋%⋟3015=⋋%⋟74","layer":1},{"info":"⨙⪌⋋%⋟8681=⋋%⋟1164","layer":1},{"info":"⋋%⋟74∌⋋%⋟1164=⋋%⋟-1164","layer":0}]}
+{"id":754,"expression_no_base_symbol":"↴⪽⋼$5320$⋛$7308$","expression":"↴⪽⋼⋋%⋟7261⋛⋋%⋟11020","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":395,"operation_count":2,"complexity_ratio":197.5,"tree":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":5320,"base":9},"right_expr":{"type":"numeric_atoms","value":7308,"base":9}}},"used_operators":["5TUYCnJO6w","YbUVn0Rbpy"],"dependent_operators":["MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA"],"result":"⋋%⋟54122","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=5320","layer":2},{"info":"number node, value=7308","layer":2},{"info":"compute binary expreesion, left_input=5320, right_input=7308, 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=-84312","layer":1},{"info":"compute unary expreesion, input=-84312, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=35822","layer":0}],"base":9,"result_base":9,"text":"↴⪽⋼⋋%⋟7261⋛⋋%⋟11020=⋋%⋟54122","reverse_text":"⋋%⋟54122=↴⪽⋼⋋%⋟7261⋛⋋%⋟11020","cot":[{"info":"⋋%⋟7261⋛⋋%⋟11020=⋋%⋟-137580","layer":1},{"info":"↴⪽⋼⋋%⋟-137580=⋋%⋟54122","layer":0}]}
+{"id":755,"expression_no_base_symbol":"⊤⊝$1252$⨜⨶$2588$","expression":"⊤⊝⋋%⋟1641⨜⨶⋋%⋟3485","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":30,"operation_count":2,"complexity_ratio":15.0,"tree":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":1252,"base":9},"right_expr":{"type":"numeric_atoms","value":2588,"base":9}}},"used_operators":["rXAclfmB4M","HiPekx5b7W"],"dependent_operators":["sdazOOVcIp","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q"],"result":"⋋%⋟-16245","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1252","layer":2},{"info":"number node, value=2588","layer":2},{"info":"compute binary expreesion, left_input=1252, right_input=2588, 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=-4920","layer":1},{"info":"compute unary expreesion, input=-4920, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=-11138","layer":0}],"base":9,"result_base":9,"text":"⊤⊝⋋%⋟1641⨜⨶⋋%⋟3485=⋋%⋟-16245","reverse_text":"⋋%⋟-16245=⊤⊝⋋%⋟1641⨜⨶⋋%⋟3485","cot":[{"info":"⋋%⋟1641⨜⨶⋋%⋟3485=⋋%⋟-6666","layer":1},{"info":"⊤⊝⋋%⋟-6666=⋋%⋟-16245","layer":0}]}
+{"id":756,"expression_no_base_symbol":"⪨⨬($3423$⊫∞)","expression":"⪨⨬(⋋%⋟4623⊫∞)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":23160,"operation_count":2,"complexity_ratio":11580.0,"tree":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"unary","operator":"⊫∞","unary_expr":{"type":"numeric_atoms","value":3423,"base":9}}},"used_operators":["5obUd6DV38","pABnYW3G3E"],"dependent_operators":["T2fj7uvVaJ","nlCqmYiOvY","fu6greOZ01","3sJ7IOPOlU","7YooWSwCyH","ivGwdmUAux"],"result":"⋋%⋟-644","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3423","layer":2},{"info":"compute unary expreesion, input=3423, op_id = pABnYW3G3E, unary_op_definition = 'a⊫∞ = { ((a⨐⩸⫘149)⪇≇⋚(a∪⫐a)) , if (⫵↿a)>=80 ; a , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":0}],"base":9,"result_base":9,"text":"⪨⨬(⋋%⋟4623⊫∞)=⋋%⋟-644","reverse_text":"⋋%⋟-644=⪨⨬(⋋%⋟4623⊫∞)","cot":[{"info":"⋋%⋟4623⊫∞=⋋%⋟0","layer":1},{"info":"⪨⨬⋋%⋟0=⋋%⋟-644","layer":0}]}
+{"id":757,"expression_no_base_symbol":"≉$8115$≎⪠$1781$","expression":"≉⋋%⋟12116≎⪠⋋%⋟2388","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":19107,"operation_count":2,"complexity_ratio":9553.5,"tree":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":8115,"base":9},"right_expr":{"type":"numeric_atoms","value":1781,"base":9}}},"used_operators":["e1ybzncUwg","aNhz54LH3e"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF"],"result":"⋋%⋟30501","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=8115","layer":2},{"info":"number node, value=1781","layer":2},{"info":"compute binary expreesion, left_input=8115, right_input=1781, 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 unary expreesion, input=19558, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=20089","layer":0}],"base":9,"result_base":9,"text":"≉⋋%⋟12116≎⪠⋋%⋟2388=⋋%⋟30501","reverse_text":"⋋%⋟30501=≉⋋%⋟12116≎⪠⋋%⋟2388","cot":[{"info":"⋋%⋟12116≎⪠⋋%⋟2388=⋋%⋟28741","layer":1},{"info":"≉⋋%⋟28741=⋋%⋟30501","layer":0}]}
+{"id":758,"expression_no_base_symbol":"($1123$⪍↜⋙$4356$)∣(↞≼$1836$)","expression":"(⋋%⋟1477⪍↜⋙⋋%⋟5870)∣(↞≼⋋%⋟2460)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":35,"operation_count":3,"complexity_ratio":11.666666666666666,"tree":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":1123,"base":9},"right_expr":{"type":"numeric_atoms","value":4356,"base":9}},"right_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"numeric_atoms","value":1836,"base":9}}},"used_operators":["PPChnnnBFF","L05ObWFQCd","DE7zCoGJt9"],"dependent_operators":["eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG"],"result":"⋋%⋟-22648","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1123","layer":2},{"info":"number node, value=4356","layer":2},{"info":"compute binary expreesion, left_input=1123, right_input=4356, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-15110","layer":1},{"info":"number node, value=1836","layer":2},{"info":"compute unary expreesion, input=1836, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=14274","layer":1},{"info":"compute binary expreesion, left_input=-15110, right_input=14274, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=-15110","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟1477⪍↜⋙⋋%⋟5870)∣(↞≼⋋%⋟2460)=⋋%⋟-22648","reverse_text":"⋋%⋟-22648=(⋋%⋟1477⪍↜⋙⋋%⋟5870)∣(↞≼⋋%⋟2460)","cot":[{"info":"⋋%⋟1477⪍↜⋙⋋%⋟5870=⋋%⋟-22648","layer":1},{"info":"↞≼⋋%⋟2460=⋋%⋟21520","layer":1},{"info":"⋋%⋟-22648∣⋋%⋟21520=⋋%⋟-22648","layer":0}]}
+{"id":759,"expression_no_base_symbol":"≱⇩⩕$1316$⇄$1040$","expression":"≱⇩⩕⋋%⋟1722⇄⋋%⋟1375","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":26,"operation_count":2,"complexity_ratio":13.0,"tree":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":1316,"base":9},"right_expr":{"type":"numeric_atoms","value":1040,"base":9}}},"used_operators":["3DZMoQKiUl","3EYGwJThht"],"dependent_operators":["AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI"],"result":"⋋%⋟135","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1316","layer":2},{"info":"number node, value=1040","layer":2},{"info":"compute binary expreesion, left_input=1316, right_input=1040, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":0}],"base":9,"result_base":9,"text":"≱⇩⩕⋋%⋟1722⇄⋋%⋟1375=⋋%⋟135","reverse_text":"⋋%⋟135=≱⇩⩕⋋%⋟1722⇄⋋%⋟1375","cot":[{"info":"⋋%⋟1722⇄⋋%⋟1375=⋋%⋟0","layer":1},{"info":"≱⇩⩕⋋%⋟0=⋋%⋟135","layer":0}]}
+{"id":760,"expression_no_base_symbol":"$1989$⪛⫼$1718$/$2142$⇡⇂$9658$","expression":"⋋%⋟2650⪛⫼⋋%⋟2318/⋋%⋟2840⇡⇂⋋%⋟14221","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":49380,"operation_count":3,"complexity_ratio":16460.0,"tree":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":1989,"base":9},"right_expr":{"type":"numeric_atoms","value":1718,"base":9}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":2142,"base":9},"right_expr":{"type":"numeric_atoms","value":9658,"base":9}}},"used_operators":["XhwjNDsVaA","hyuBjUqXlG","UMwdvZNt44"],"dependent_operators":["rysDP5nf3Z","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1989","layer":2},{"info":"number node, value=1718","layer":2},{"info":"compute binary expreesion, left_input=1989, right_input=1718, 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":"number node, value=2142","layer":2},{"info":"number node, value=9658","layer":2},{"info":"compute binary expreesion, left_input=2142, right_input=9658, 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=968, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟2650⪛⫼⋋%⋟2318/⋋%⋟2840⇡⇂⋋%⋟14221=NaN","reverse_text":"NaN=⋋%⋟2650⪛⫼⋋%⋟2318/⋋%⋟2840⇡⇂⋋%⋟14221","cot":[{"info":"⋋%⋟2650⪛⫼⋋%⋟2318=⋋%⋟1285","layer":1},{"info":"⋋%⋟2840⇡⇂⋋%⋟14221=NaN","layer":1},{"info":"⋋%⋟1285/NaN=NaN","layer":0}]}
+{"id":761,"expression_no_base_symbol":"($2475$⊾⪯⋞$1484$)⨳⩥⨓(⪓⩚$2611$)","expression":"(⋋%⋟3350⊾⪯⋞⋋%⋟2028)⨳⩥⨓(⪓⩚⋋%⋟3521)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3426,"operation_count":3,"complexity_ratio":1142.0,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":2475,"base":9},"right_expr":{"type":"numeric_atoms","value":1484,"base":9}},"right_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"numeric_atoms","value":2611,"base":9}}},"used_operators":["nCS4ZIUYfx","HK0tfVPux8","u0R0Locfp2"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ"],"result":"⋋%⋟-2811","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2475","layer":2},{"info":"number node, value=1484","layer":2},{"info":"compute binary expreesion, left_input=2475, right_input=1484, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=2542","layer":1},{"info":"number node, value=2611","layer":2},{"info":"compute unary expreesion, input=2611, 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=2542, right_input=426, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2116","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟3350⊾⪯⋞⋋%⋟2028)⨳⩥⨓(⪓⩚⋋%⋟3521)=⋋%⋟-2811","reverse_text":"⋋%⋟-2811=(⋋%⋟3350⊾⪯⋞⋋%⋟2028)⨳⩥⨓(⪓⩚⋋%⋟3521)","cot":[{"info":"⋋%⋟3350⊾⪯⋞⋋%⋟2028=⋋%⋟3434","layer":1},{"info":"⪓⩚⋋%⋟3521=⋋%⋟523","layer":1},{"info":"⋋%⋟3434⨳⩥⨓⋋%⋟523=⋋%⋟-2811","layer":0}]}
+{"id":762,"expression_no_base_symbol":"$3217$⋥⋵⩄$3556$*$1691$⪡$3727$","expression":"⋋%⋟4364⋥⋵⩄⋋%⋟4781*⋋%⋟2278⪡⋋%⋟5101","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":146,"operation_count":3,"complexity_ratio":48.666666666666664,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":3217,"base":9},"right_expr":{"type":"numeric_atoms","value":3556,"base":9}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":1691,"base":9},"right_expr":{"type":"numeric_atoms","value":3727,"base":9}}},"used_operators":["9HNa5Wba9A","7t3wd0Fuz7","oraRL2iQuh"],"dependent_operators":["W4YGzv6Whe","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R"],"result":"⋋%⋟17524","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3217","layer":2},{"info":"number node, value=3556","layer":2},{"info":"compute binary expreesion, left_input=3217, right_input=3556, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":1},{"info":"number node, value=1691","layer":2},{"info":"number node, value=3727","layer":2},{"info":"compute binary expreesion, left_input=1691, right_input=3727, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":1},{"info":"compute binary expreesion, left_input=113, right_input=107, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=12091","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟4364⋥⋵⩄⋋%⋟4781*⋋%⋟2278⪡⋋%⋟5101=⋋%⋟17524","reverse_text":"⋋%⋟17524=⋋%⋟4364⋥⋵⩄⋋%⋟4781*⋋%⋟2278⪡⋋%⋟5101","cot":[{"info":"⋋%⋟4364⋥⋵⩄⋋%⋟4781=⋋%⋟135","layer":1},{"info":"⋋%⋟2278⪡⋋%⋟5101=⋋%⋟128","layer":1},{"info":"⋋%⋟135*⋋%⋟128=⋋%⋟17524","layer":0}]}
+{"id":763,"expression_no_base_symbol":"($2029$⩧⪆$1943$)≀⫉$1365$⫘$4550$","expression":"(⋋%⋟2704⩧⪆⋋%⋟2588)≀⫉⋋%⋟1776⫘⋋%⋟6215","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1745,"operation_count":3,"complexity_ratio":581.6666666666666,"tree":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":2029,"base":9},"right_expr":{"type":"numeric_atoms","value":1943,"base":9}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":1365,"base":9},"right_expr":{"type":"numeric_atoms","value":4550,"base":9}}},"used_operators":["oZj3VtZNQx","Ikt5ks8PT7","48vC8HMD2b"],"dependent_operators":["9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","eewbuw0ToL","t8gj7n24qd","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe"],"result":"⋋%⋟3775","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2029","layer":2},{"info":"number node, value=1943","layer":2},{"info":"compute binary expreesion, left_input=2029, right_input=1943, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-1943","layer":1},{"info":"number node, value=1365","layer":2},{"info":"number node, value=4550","layer":2},{"info":"compute binary expreesion, left_input=1365, right_input=4550, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=1609645","layer":1},{"info":"compute binary expreesion, left_input=-1943, right_input=1609645, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟2704⩧⪆⋋%⋟2588)≀⫉⋋%⋟1776⫘⋋%⋟6215=⋋%⋟3775","reverse_text":"⋋%⋟3775=(⋋%⋟2704⩧⪆⋋%⋟2588)≀⫉⋋%⋟1776⫘⋋%⋟6215","cot":[{"info":"⋋%⋟2704⩧⪆⋋%⋟2588=⋋%⋟-2588","layer":1},{"info":"⋋%⋟1776⫘⋋%⋟6215=⋋%⋟3023014","layer":1},{"info":"⋋%⋟-2588≀⫉⋋%⋟3023014=⋋%⋟3775","layer":0}]}
+{"id":764,"expression_no_base_symbol":"$2642$⊱⇼⊻$5231$⪕($1009$⨑≵⋬$1738$)","expression":"⋋%⋟3555⊱⇼⊻⋋%⋟7152⪕(⋋%⋟1341⨑≵⋬⋋%⋟2341)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":34,"operation_count":3,"complexity_ratio":11.333333333333334,"tree":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":2642,"base":9},"right_expr":{"type":"numeric_atoms","value":5231,"base":9}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":1009,"base":9},"right_expr":{"type":"numeric_atoms","value":1738,"base":9}}},"used_operators":["umQnsF7QlU","FyVja0WsTP","XnXgA4xnOs"],"dependent_operators":["P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q"],"result":"⋋%⋟1248","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2642","layer":2},{"info":"number node, value=5231","layer":2},{"info":"compute binary expreesion, left_input=2642, right_input=5231, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":1},{"info":"number node, value=1009","layer":2},{"info":"number node, value=1738","layer":2},{"info":"compute binary expreesion, left_input=1009, right_input=1738, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-5742","layer":1},{"info":"compute binary expreesion, left_input=434, right_input=-5742, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=935","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟3555⊱⇼⊻⋋%⋟7152⪕(⋋%⋟1341⨑≵⋬⋋%⋟2341)=⋋%⋟1248","reverse_text":"⋋%⋟1248=⋋%⋟3555⊱⇼⊻⋋%⋟7152⪕(⋋%⋟1341⨑≵⋬⋋%⋟2341)","cot":[{"info":"⋋%⋟3555⊱⇼⊻⋋%⋟7152=⋋%⋟532","layer":1},{"info":"⋋%⋟1341⨑≵⋬⋋%⋟2341=⋋%⋟-7780","layer":1},{"info":"⋋%⋟532⪕⋋%⋟-7780=⋋%⋟1248","layer":0}]}
+{"id":765,"expression_no_base_symbol":"($3924$⪇≇⋚$2340$)⩧⪆($9178$⪉⨛$1614$)","expression":"(⋋%⋟5340⪇≇⋚⋋%⋟3180)⩧⪆(⋋%⋟13527⪉⨛⋋%⋟2183)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":34,"operation_count":3,"complexity_ratio":11.333333333333334,"tree":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":3924,"base":9},"right_expr":{"type":"numeric_atoms","value":2340,"base":9}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":9178,"base":9},"right_expr":{"type":"numeric_atoms","value":1614,"base":9}}},"used_operators":["Ikt5ks8PT7","3sJ7IOPOlU","EWw2JM7wp4"],"dependent_operators":["eewbuw0ToL","t8gj7n24qd","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL"],"result":"⋋%⋟-38758","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3924","layer":2},{"info":"number node, value=2340","layer":2},{"info":"compute binary expreesion, left_input=3924, right_input=2340, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":1},{"info":"number node, value=9178","layer":2},{"info":"number node, value=1614","layer":2},{"info":"compute binary expreesion, left_input=9178, right_input=1614, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=26135","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=26135, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-26135","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟5340⪇≇⋚⋋%⋟3180)⩧⪆(⋋%⋟13527⪉⨛⋋%⋟2183)=⋋%⋟-38758","reverse_text":"⋋%⋟-38758=(⋋%⋟5340⪇≇⋚⋋%⋟3180)⩧⪆(⋋%⋟13527⪉⨛⋋%⋟2183)","cot":[{"info":"⋋%⋟5340⪇≇⋚⋋%⋟3180=⋋%⋟0","layer":1},{"info":"⋋%⋟13527⪉⨛⋋%⋟2183=⋋%⋟38758","layer":1},{"info":"⋋%⋟0⩧⪆⋋%⋟38758=⋋%⋟-38758","layer":0}]}
+{"id":766,"expression_no_base_symbol":"($5755$⩨$2141$)⫽⇹≛","expression":"(⋋%⋟7804⩨⋋%⋟2838)⫽⇹≛","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":30,"operation_count":2,"complexity_ratio":15.0,"tree":{"type":"unary","operator":"⫽⇹≛","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":5755,"base":9},"right_expr":{"type":"numeric_atoms","value":2141,"base":9}}},"used_operators":["NNaDxxp6OQ","2DlMacCsIx"],"dependent_operators":["KbjG8mgYpV","AdZkA7nFnk","IWmyXbctLI","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"⋋%⋟332","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=5755","layer":2},{"info":"number node, value=2141","layer":2},{"info":"compute binary expreesion, left_input=5755, right_input=2141, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = NNaDxxp6OQ, unary_op_definition = 'a⫽⇹≛ = { ((113⋅⇍170)⪮%⊝(a∠↢a)) }', output=272","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟7804⩨⋋%⋟2838)⫽⇹≛=⋋%⋟332","reverse_text":"⋋%⋟332=(⋋%⋟7804⩨⋋%⋟2838)⫽⇹≛","cot":[{"info":"⋋%⋟7804⩨⋋%⋟2838=⋋%⋟0","layer":1},{"info":"⋋%⋟0⫽⇹≛=⋋%⋟332","layer":0}]}
+{"id":767,"expression_no_base_symbol":"≇⪴($3466$⋷$3260$)","expression":"≇⪴(⋋%⋟4671⋷⋋%⋟4422)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":10,"operation_count":2,"complexity_ratio":5.0,"tree":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":3466,"base":9},"right_expr":{"type":"numeric_atoms","value":3260,"base":9}}},"used_operators":["zoVPnxeHJ3","23Mk6UjR3U"],"dependent_operators":["7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","W4YGzv6Whe","t8gj7n24qd"],"result":"⋋%⋟-11651","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3466","layer":2},{"info":"number node, value=3260","layer":2},{"info":"compute binary expreesion, left_input=3466, right_input=3260, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=3054","layer":1},{"info":"compute unary expreesion, input=3054, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-7822","layer":0}],"base":9,"result_base":9,"text":"≇⪴(⋋%⋟4671⋷⋋%⋟4422)=⋋%⋟-11651","reverse_text":"⋋%⋟-11651=≇⪴(⋋%⋟4671⋷⋋%⋟4422)","cot":[{"info":"⋋%⋟4671⋷⋋%⋟4422=⋋%⋟4163","layer":1},{"info":"≇⪴⋋%⋟4163=⋋%⋟-11651","layer":0}]}
+{"id":768,"expression_no_base_symbol":"$3089$⨥⫆$7846$≳⇉($2289$⪒$6909$)","expression":"⋋%⋟4212⨥⫆⋋%⋟11677≳⇉(⋋%⋟3123⪒⋋%⋟10426)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":18477,"operation_count":3,"complexity_ratio":6159.0,"tree":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":3089,"base":9},"right_expr":{"type":"numeric_atoms","value":7846,"base":9}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2289,"base":9},"right_expr":{"type":"numeric_atoms","value":6909,"base":9}}},"used_operators":["V0kx6qeWkN","yXekIHxTD4","f6k1SAg4EE"],"dependent_operators":["KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3089","layer":2},{"info":"number node, value=7846","layer":2},{"info":"compute binary expreesion, left_input=3089, right_input=7846, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=15568","layer":1},{"info":"number node, value=2289","layer":2},{"info":"number node, value=6909","layer":2},{"info":"compute binary expreesion, left_input=2289, right_input=6909, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-9198","layer":1},{"info":"compute binary expreesion, left_input=15568, right_input=-9198, 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":9,"result_base":9,"text":"⋋%⋟4212⨥⫆⋋%⋟11677≳⇉(⋋%⋟3123⪒⋋%⋟10426)=NaN","reverse_text":"NaN=⋋%⋟4212⨥⫆⋋%⋟11677≳⇉(⋋%⋟3123⪒⋋%⋟10426)","cot":[{"info":"⋋%⋟4212⨥⫆⋋%⋟11677=⋋%⋟23317","layer":1},{"info":"⋋%⋟3123⪒⋋%⋟10426=⋋%⋟-13550","layer":1},{"info":"⋋%⋟23317≳⇉⋋%⋟-13550=NaN","layer":0}]}
+{"id":769,"expression_no_base_symbol":"→⩰(≑⋹$3142$)","expression":"→⩰(≑⋹⋋%⋟4271)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2140,"operation_count":2,"complexity_ratio":1070.0,"tree":{"type":"unary","operator":"→⩰","unary_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"numeric_atoms","value":3142,"base":9}}},"used_operators":["o8Pngz0Tml","6B9nyZLogK"],"dependent_operators":["9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=3142","layer":2},{"info":"compute unary expreesion, input=3142, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=1650","layer":1},{"info":"compute unary expreesion, input=1650, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"→⩰(≑⋹⋋%⋟4271)=NaN","reverse_text":"NaN=→⩰(≑⋹⋋%⋟4271)","cot":[{"info":"≑⋹⋋%⋟4271=⋋%⋟2233","layer":1},{"info":"→⩰⋋%⋟2233=NaN","layer":0}]}
+{"id":770,"expression_no_base_symbol":"(⨛$3248$)⇻⋧≁(↩⪖$6907$)","expression":"(⨛⋋%⋟4408)⇻⋧≁(↩⪖⋋%⋟10424)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":240,"operation_count":3,"complexity_ratio":80.0,"tree":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"numeric_atoms","value":3248,"base":9}},"right_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"numeric_atoms","value":6907,"base":9}}},"used_operators":["jCPkEVoL5K","CoMdbyAt7R","fG6uBQFnGz"],"dependent_operators":["eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q"],"result":"⋋%⋟0","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3248","layer":2},{"info":"compute unary expreesion, input=3248, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":1},{"info":"number node, value=6907","layer":2},{"info":"compute unary expreesion, input=6907, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-44424","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-44424, 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":9,"result_base":9,"text":"(⨛⋋%⋟4408)⇻⋧≁(↩⪖⋋%⋟10424)=⋋%⋟0","reverse_text":"⋋%⋟0=(⨛⋋%⋟4408)⇻⋧≁(↩⪖⋋%⋟10424)","cot":[{"info":"⨛⋋%⋟4408=NaN","layer":1},{"info":"↩⪖⋋%⋟10424=⋋%⋟-66840","layer":1},{"info":"NaN⇻⋧≁⋋%⋟-66840=⋋%⋟0","layer":0}]}
+{"id":771,"expression_no_base_symbol":"$3462$⋓$1180$⫢⨠($4601$≀⩗∶$4834$)","expression":"⋋%⋟4666⋓⋋%⋟1551⫢⨠(⋋%⋟6272≀⩗∶⋋%⋟6561)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":87,"operation_count":3,"complexity_ratio":29.0,"tree":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3462,"base":9},"right_expr":{"type":"numeric_atoms","value":1180,"base":9}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":4601,"base":9},"right_expr":{"type":"numeric_atoms","value":4834,"base":9}}},"used_operators":["xlXykHWxX1","T2fj7uvVaJ","8INZBEW696"],"dependent_operators":["KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9"],"result":"⋋%⋟187","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3462","layer":2},{"info":"number node, value=1180","layer":2},{"info":"compute binary expreesion, left_input=3462, right_input=1180, 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=4601","layer":2},{"info":"number node, value=4834","layer":2},{"info":"compute binary expreesion, left_input=4601, right_input=4834, 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=0, right_input=-3, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟4666⋓⋋%⋟1551⫢⨠(⋋%⋟6272≀⩗∶⋋%⋟6561)=⋋%⋟187","reverse_text":"⋋%⋟187=⋋%⋟4666⋓⋋%⋟1551⫢⨠(⋋%⋟6272≀⩗∶⋋%⋟6561)","cot":[{"info":"⋋%⋟4666⋓⋋%⋟1551=⋋%⋟0","layer":1},{"info":"⋋%⋟6272≀⩗∶⋋%⋟6561=⋋%⋟-3","layer":1},{"info":"⋋%⋟0⫢⨠⋋%⋟-3=⋋%⋟187","layer":0}]}
+{"id":772,"expression_no_base_symbol":"⪡⇡≛($4518$⫒⫫$7157$)","expression":"⪡⇡≛(⋋%⋟6170⫒⫫⋋%⋟10732)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":33,"operation_count":2,"complexity_ratio":16.5,"tree":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":4518,"base":9},"right_expr":{"type":"numeric_atoms","value":7157,"base":9}}},"used_operators":["qL4PrbW1Dq","6Ko8hGgeMq"],"dependent_operators":["oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=4518","layer":2},{"info":"number node, value=7157","layer":2},{"info":"compute binary expreesion, left_input=4518, right_input=7157, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":1},{"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":0}],"base":9,"result_base":9,"text":"⪡⇡≛(⋋%⋟6170⫒⫫⋋%⋟10732)=NaN","reverse_text":"NaN=⪡⇡≛(⋋%⋟6170⫒⫫⋋%⋟10732)","cot":[{"info":"⋋%⋟6170⫒⫫⋋%⋟10732=NaN","layer":1},{"info":"⪡⇡≛NaN=NaN","layer":0}]}
+{"id":773,"expression_no_base_symbol":"$1342$⪔⊥$2388$⪄(⇠$7169$)","expression":"⋋%⋟1751⪔⊥⋋%⋟3243⪄(⇠⋋%⋟10745)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":122,"operation_count":3,"complexity_ratio":40.666666666666664,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":1342,"base":9},"right_expr":{"type":"numeric_atoms","value":2388,"base":9}},"right_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"numeric_atoms","value":7169,"base":9}}},"used_operators":["SUmda5xLS4","HJ9erzHUuu","18saOjeKKm"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx"],"result":"⋋%⋟-40364","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1342","layer":2},{"info":"number node, value=2388","layer":2},{"info":"compute binary expreesion, left_input=1342, right_input=2388, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=393","layer":1},{"info":"number node, value=7169","layer":2},{"info":"compute unary expreesion, input=7169, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-6927","layer":1},{"info":"compute binary expreesion, left_input=393, right_input=-6927, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-26545","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟1751⪔⊥⋋%⋟3243⪄(⇠⋋%⋟10745)=⋋%⋟-40364","reverse_text":"⋋%⋟-40364=⋋%⋟1751⪔⊥⋋%⋟3243⪄(⇠⋋%⋟10745)","cot":[{"info":"⋋%⋟1751⪔⊥⋋%⋟3243=⋋%⋟476","layer":1},{"info":"⇠⋋%⋟10745=⋋%⋟-10446","layer":1},{"info":"⋋%⋟476⪄⋋%⋟-10446=⋋%⋟-40364","layer":0}]}
+{"id":774,"expression_no_base_symbol":"⩎⋉($1239$⫁$1366$)","expression":"⩎⋉(⋋%⋟1626⫁⋋%⋟1777)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":168,"operation_count":2,"complexity_ratio":84.0,"tree":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":1239,"base":9},"right_expr":{"type":"numeric_atoms","value":1366,"base":9}}},"used_operators":["FlXk3pOYe8","0ajvFaJAv0"],"dependent_operators":["KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","cHh1gJQ2o6","AHs5Up7iyr"],"result":"⋋%⋟-22448","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1239","layer":2},{"info":"number node, value=1366","layer":2},{"info":"compute binary expreesion, left_input=1239, right_input=1366, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":1},{"info":"compute unary expreesion, input=160, 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=-14948","layer":0}],"base":9,"result_base":9,"text":"⩎⋉(⋋%⋟1626⫁⋋%⋟1777)=⋋%⋟-22448","reverse_text":"⋋%⋟-22448=⩎⋉(⋋%⋟1626⫁⋋%⋟1777)","cot":[{"info":"⋋%⋟1626⫁⋋%⋟1777=⋋%⋟187","layer":1},{"info":"⩎⋉⋋%⋟187=⋋%⋟-22448","layer":0}]}
+{"id":775,"expression_no_base_symbol":"($8301$⪉⨛$3250$)≳⇉$1273$∳⫺$2801$","expression":"(⋋%⋟12343⪉⨛⋋%⋟4411)≳⇉⋋%⋟1664∳⫺⋋%⋟3752","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2802257,"operation_count":3,"complexity_ratio":934085.6666666666,"tree":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":8301,"base":9},"right_expr":{"type":"numeric_atoms","value":3250,"base":9}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":1273,"base":9},"right_expr":{"type":"numeric_atoms","value":2801,"base":9}}},"used_operators":["V0kx6qeWkN","EWw2JM7wp4","AzXXKTstlj"],"dependent_operators":["KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=8301","layer":2},{"info":"number node, value=3250","layer":2},{"info":"compute binary expreesion, left_input=8301, right_input=3250, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=21868","layer":1},{"info":"number node, value=1273","layer":2},{"info":"number node, value=2801","layer":2},{"info":"compute binary expreesion, left_input=1273, right_input=2801, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-448","layer":1},{"info":"compute binary expreesion, left_input=21868, right_input=-448, 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":9,"result_base":9,"text":"(⋋%⋟12343⪉⨛⋋%⋟4411)≳⇉⋋%⋟1664∳⫺⋋%⋟3752=NaN","reverse_text":"NaN=(⋋%⋟12343⪉⨛⋋%⋟4411)≳⇉⋋%⋟1664∳⫺⋋%⋟3752","cot":[{"info":"⋋%⋟12343⪉⨛⋋%⋟4411=⋋%⋟32887","layer":1},{"info":"⋋%⋟1664∳⫺⋋%⋟3752=⋋%⋟-547","layer":1},{"info":"⋋%⋟32887≳⇉⋋%⋟-547=NaN","layer":0}]}
+{"id":776,"expression_no_base_symbol":"(⨛$2350$)⪃⊛⇣($3677$↞⋁$1469$)","expression":"(⨛⋋%⋟3201)⪃⊛⇣(⋋%⋟5035↞⋁⋋%⋟2012)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":791,"operation_count":3,"complexity_ratio":263.6666666666667,"tree":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"numeric_atoms","value":2350,"base":9}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":3677,"base":9},"right_expr":{"type":"numeric_atoms","value":1469,"base":9}}},"used_operators":["rrgAzCduG9","CoMdbyAt7R","RqrPlJkxDo"],"dependent_operators":["Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","Uaa54Peajs","CArV6hThFE","13rbtpv6ld"],"result":"⋋%⋟1621","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=2350","layer":2},{"info":"compute unary expreesion, input=2350, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":1},{"info":"number node, value=3677","layer":2},{"info":"number node, value=1469","layer":2},{"info":"compute binary expreesion, left_input=3677, right_input=1469, 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 = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":0}],"base":9,"result_base":9,"text":"(⨛⋋%⋟3201)⪃⊛⇣(⋋%⋟5035↞⋁⋋%⋟2012)=⋋%⋟1621","reverse_text":"⋋%⋟1621=(⨛⋋%⋟3201)⪃⊛⇣(⋋%⋟5035↞⋁⋋%⋟2012)","cot":[{"info":"⨛⋋%⋟3201=NaN","layer":1},{"info":"⋋%⋟5035↞⋁⋋%⋟2012=NaN","layer":1},{"info":"NaN⪃⊛⇣NaN=⋋%⋟1621","layer":0}]}
+{"id":777,"expression_no_base_symbol":"($1719$⩧⪆$7429$)⫣⪄⊒($1838$⫃⨇$2152$)","expression":"(⋋%⋟2320⩧⪆⋋%⋟11164)⫣⪄⊒(⋋%⋟2462⫃⨇⋋%⋟2851)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":62,"operation_count":3,"complexity_ratio":20.666666666666668,"tree":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":1719,"base":9},"right_expr":{"type":"numeric_atoms","value":7429,"base":9}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":1838,"base":9},"right_expr":{"type":"numeric_atoms","value":2152,"base":9}}},"used_operators":["RabNbG55vr","Ikt5ks8PT7","09Ly4LVMIf"],"dependent_operators":["NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","eewbuw0ToL","t8gj7n24qd","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG"],"result":"⋋%⋟187","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1719","layer":2},{"info":"number node, value=7429","layer":2},{"info":"compute binary expreesion, left_input=1719, right_input=7429, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-7429","layer":1},{"info":"number node, value=1838","layer":2},{"info":"number node, value=2152","layer":2},{"info":"compute binary expreesion, left_input=1838, right_input=2152, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-8640","layer":1},{"info":"compute binary expreesion, left_input=-7429, right_input=-8640, 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":9,"result_base":9,"text":"(⋋%⋟2320⩧⪆⋋%⋟11164)⫣⪄⊒(⋋%⋟2462⫃⨇⋋%⋟2851)=⋋%⋟187","reverse_text":"⋋%⋟187=(⋋%⋟2320⩧⪆⋋%⋟11164)⫣⪄⊒(⋋%⋟2462⫃⨇⋋%⋟2851)","cot":[{"info":"⋋%⋟2320⩧⪆⋋%⋟11164=⋋%⋟-11164","layer":1},{"info":"⋋%⋟2462⫃⨇⋋%⋟2851=⋋%⋟-12760","layer":1},{"info":"⋋%⋟-11164⫣⪄⊒⋋%⋟-12760=⋋%⋟187","layer":0}]}
+{"id":778,"expression_no_base_symbol":"($6183$⨒$3163$)≌$2944$⫞⩸⩒$2568$","expression":"(⋋%⋟8430⨒⋋%⋟4304)≌⋋%⋟4031⫞⩸⩒⋋%⋟3463","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2735,"operation_count":3,"complexity_ratio":911.6666666666666,"tree":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":6183,"base":9},"right_expr":{"type":"numeric_atoms","value":3163,"base":9}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":2944,"base":9},"right_expr":{"type":"numeric_atoms","value":2568,"base":9}}},"used_operators":["lyWz822IDG","y75s1iXyHd","XGcMNugi78"],"dependent_operators":["B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=6183","layer":2},{"info":"number node, value=3163","layer":2},{"info":"compute binary expreesion, left_input=6183, right_input=3163, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-36726","layer":1},{"info":"number node, value=2944","layer":2},{"info":"number node, value=2568","layer":2},{"info":"compute binary expreesion, left_input=2944, right_input=2568, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=2568","layer":1},{"info":"compute binary expreesion, left_input=-36726, right_input=2568, 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":9,"result_base":9,"text":"(⋋%⋟8430⨒⋋%⋟4304)≌⋋%⋟4031⫞⩸⩒⋋%⋟3463=NaN","reverse_text":"NaN=(⋋%⋟8430⨒⋋%⋟4304)≌⋋%⋟4031⫞⩸⩒⋋%⋟3463","cot":[{"info":"⋋%⋟8430⨒⋋%⋟4304=⋋%⋟-55336","layer":1},{"info":"⋋%⋟4031⫞⩸⩒⋋%⋟3463=⋋%⋟3463","layer":1},{"info":"⋋%⋟-55336≌⋋%⋟3463=NaN","layer":0}]}
+{"id":779,"expression_no_base_symbol":"(⊁⨺$5859$)⫗⊷⫓(↯⪼$1147$)","expression":"(⊁⨺⋋%⋟8030)⫗⊷⫓(↯⪼⋋%⋟1514)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":16848,"operation_count":3,"complexity_ratio":5616.0,"tree":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"numeric_atoms","value":5859,"base":9}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1147,"base":9}}},"used_operators":["zashukvMKz","PxiHyQbrIp","8jW3W4yZS5"],"dependent_operators":["xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"⋋%⋟-158","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=5859","layer":2},{"info":"compute unary expreesion, input=5859, 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":"number node, value=1147","layer":2},{"info":"compute unary expreesion, input=1147, 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=160, right_input=-21, 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":9,"result_base":9,"text":"(⊁⨺⋋%⋟8030)⫗⊷⫓(↯⪼⋋%⋟1514)=⋋%⋟-158","reverse_text":"⋋%⋟-158=(⊁⨺⋋%⋟8030)⫗⊷⫓(↯⪼⋋%⋟1514)","cot":[{"info":"⊁⨺⋋%⋟8030=⋋%⋟187","layer":1},{"info":"↯⪼⋋%⋟1514=⋋%⋟-23","layer":1},{"info":"⋋%⋟187⫗⊷⫓⋋%⋟-23=⋋%⋟-158","layer":0}]}
+{"id":780,"expression_no_base_symbol":"($1674$⫦⪉$1010$)⨻⩈⩔($3705$∕⩚$4947$)","expression":"(⋋%⋟2260⫦⪉⋋%⋟1342)⨻⩈⩔(⋋%⋟5066∕⩚⋋%⋟6706)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3832,"operation_count":3,"complexity_ratio":1277.3333333333333,"tree":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":1674,"base":9},"right_expr":{"type":"numeric_atoms","value":1010,"base":9}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":3705,"base":9},"right_expr":{"type":"numeric_atoms","value":4947,"base":9}}},"used_operators":["nEsXyWgiOK","wscyQdcy20","z9ffQ9n5Zr"],"dependent_operators":["D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr"],"result":"⋋%⋟5451","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1674","layer":2},{"info":"number node, value=1010","layer":2},{"info":"compute binary expreesion, left_input=1674, right_input=1010, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=1552","layer":1},{"info":"number node, value=3705","layer":2},{"info":"number node, value=4947","layer":2},{"info":"compute binary expreesion, left_input=3705, right_input=4947, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-3708","layer":1},{"info":"compute binary expreesion, left_input=1552, right_input=-3708, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=4015","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟2260⫦⪉⋋%⋟1342)⨻⩈⩔(⋋%⋟5066∕⩚⋋%⋟6706)=⋋%⋟5451","reverse_text":"⋋%⋟5451=(⋋%⋟2260⫦⪉⋋%⋟1342)⨻⩈⩔(⋋%⋟5066∕⩚⋋%⋟6706)","cot":[{"info":"⋋%⋟2260⫦⪉⋋%⋟1342=⋋%⋟2114","layer":1},{"info":"⋋%⋟5066∕⩚⋋%⋟6706=⋋%⋟-5070","layer":1},{"info":"⋋%⋟2114⨻⩈⩔⋋%⋟-5070=⋋%⋟5451","layer":0}]}
+{"id":781,"expression_no_base_symbol":"($1417$⊲⩕⊾$1658$)⨿($1188$⋭≵$5541$)","expression":"(⋋%⋟1844⊲⩕⊾⋋%⋟2242)⨿(⋋%⋟1560⋭≵⋋%⋟7536)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":108084,"operation_count":3,"complexity_ratio":36028.0,"tree":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":1417,"base":9},"right_expr":{"type":"numeric_atoms","value":1658,"base":9}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":1188,"base":9},"right_expr":{"type":"numeric_atoms","value":5541,"base":9}}},"used_operators":["abYXlopdE0","DmTXOeWf9t","jBncVCNhdl"],"dependent_operators":["gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C"],"result":"⋋%⋟74","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1417","layer":2},{"info":"number node, value=1658","layer":2},{"info":"compute binary expreesion, left_input=1417, right_input=1658, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-35882","layer":1},{"info":"number node, value=1188","layer":2},{"info":"number node, value=5541","layer":2},{"info":"compute binary expreesion, left_input=1188, right_input=5541, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=6093","layer":1},{"info":"compute binary expreesion, left_input=-35882, right_input=6093, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=67","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟1844⊲⩕⊾⋋%⋟2242)⨿(⋋%⋟1560⋭≵⋋%⋟7536)=⋋%⋟74","reverse_text":"⋋%⋟74=(⋋%⋟1844⊲⩕⊾⋋%⋟2242)⨿(⋋%⋟1560⋭≵⋋%⋟7536)","cot":[{"info":"⋋%⋟1844⊲⩕⊾⋋%⋟2242=⋋%⋟-54188","layer":1},{"info":"⋋%⋟1560⋭≵⋋%⋟7536=⋋%⋟8320","layer":1},{"info":"⋋%⋟-54188⨿⋋%⋟8320=⋋%⋟74","layer":0}]}
+{"id":782,"expression_no_base_symbol":"($1268$⪭≯$1090$)⋕⪉⪜($1176$∼$5667$)","expression":"(⋋%⋟1658⪭≯⋋%⋟1441)⋕⪉⪜(⋋%⋟1546∼⋋%⋟7686)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":234,"operation_count":3,"complexity_ratio":78.0,"tree":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":1268,"base":9},"right_expr":{"type":"numeric_atoms","value":1090,"base":9}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1176,"base":9},"right_expr":{"type":"numeric_atoms","value":5667,"base":9}}},"used_operators":["z6LnFrNh4i","XAx5wpdLa6","DyGG3AbaNP"],"dependent_operators":["sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"⋋%⋟246","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1268","layer":2},{"info":"number node, value=1090","layer":2},{"info":"compute binary expreesion, left_input=1268, right_input=1090, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":1},{"info":"number node, value=1176","layer":2},{"info":"number node, value=5667","layer":2},{"info":"compute binary expreesion, left_input=1176, right_input=5667, 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=nan, right_input=nan, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟1658⪭≯⋋%⋟1441)⋕⪉⪜(⋋%⋟1546∼⋋%⋟7686)=⋋%⋟246","reverse_text":"⋋%⋟246=(⋋%⋟1658⪭≯⋋%⋟1441)⋕⪉⪜(⋋%⋟1546∼⋋%⋟7686)","cot":[{"info":"⋋%⋟1658⪭≯⋋%⋟1441=NaN","layer":1},{"info":"⋋%⋟1546∼⋋%⋟7686=NaN","layer":1},{"info":"NaN⋕⪉⪜NaN=⋋%⋟246","layer":0}]}
+{"id":783,"expression_no_base_symbol":"($1337$⇐≅)∓⋝$2089$⪔⊥$5883$","expression":"(⋋%⋟1745⇐≅)∓⋝⋋%⋟2771⪔⊥⋋%⋟8056","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":69,"operation_count":3,"complexity_ratio":23.0,"tree":{"type":"binary","operator":"∓⋝","left_expr":{"type":"unary","operator":"⇐≅","unary_expr":{"type":"numeric_atoms","value":1337,"base":9}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":2089,"base":9},"right_expr":{"type":"numeric_atoms","value":5883,"base":9}}},"used_operators":["PoHhknlbAi","wEfv7U73WA","HJ9erzHUuu"],"dependent_operators":["DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","9FxExcQeMw","t8gj7n24qd","Ph9nP6C5qx","i8ToyICDmI","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C"],"result":"⋋%⋟74","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1337","layer":2},{"info":"compute unary expreesion, input=1337, op_id = wEfv7U73WA, unary_op_definition = 'a⇐≅ = { ((a⩷∴(a∲⫓a))≧⫂∧(-a)) }', output=3979","layer":1},{"info":"number node, value=2089","layer":2},{"info":"number node, value=5883","layer":2},{"info":"compute binary expreesion, left_input=2089, right_input=5883, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=-3609","layer":1},{"info":"compute binary expreesion, left_input=3979, right_input=-3609, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟1745⇐≅)∓⋝⋋%⋟2771⪔⊥⋋%⋟8056=⋋%⋟74","reverse_text":"⋋%⋟74=(⋋%⋟1745⇐≅)∓⋝⋋%⋟2771⪔⊥⋋%⋟8056","cot":[{"info":"⋋%⋟1745⇐≅=⋋%⋟5411","layer":1},{"info":"⋋%⋟2771⪔⊥⋋%⋟8056=⋋%⋟-4850","layer":1},{"info":"⋋%⋟5411∓⋝⋋%⋟-4850=⋋%⋟74","layer":0}]}
+{"id":784,"expression_no_base_symbol":"⋠∜($2429$⪷)","expression":"⋠∜(⋋%⋟3288⪷)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2453,"operation_count":2,"complexity_ratio":1226.5,"tree":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"unary","operator":"⪷","unary_expr":{"type":"numeric_atoms","value":2429,"base":9}}},"used_operators":["ZJpFhNJr3x","Qctrpi3WzA"],"dependent_operators":["X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","Nsiff2A1zJ"],"result":"⋋%⋟74","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=2429","layer":2},{"info":"compute unary expreesion, input=2429, op_id = Qctrpi3WzA, unary_op_definition = 'a⪷ = { (a⊴a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=67","layer":0}],"base":9,"result_base":9,"text":"⋠∜(⋋%⋟3288⪷)=⋋%⋟74","reverse_text":"⋋%⋟74=⋠∜(⋋%⋟3288⪷)","cot":[{"info":"⋋%⋟3288⪷=NaN","layer":1},{"info":"⋠∜NaN=⋋%⋟74","layer":0}]}
+{"id":785,"expression_no_base_symbol":"($1940$⪇≇⋚$1631$)⩦($2116$⇼⇔∾$1513$)","expression":"(⋋%⋟2585⪇≇⋚⋋%⋟2212)⩦(⋋%⋟2811⇼⇔∾⋋%⋟2061)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":27,"operation_count":3,"complexity_ratio":9.0,"tree":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":1940,"base":9},"right_expr":{"type":"numeric_atoms","value":1631,"base":9}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2116,"base":9},"right_expr":{"type":"numeric_atoms","value":1513,"base":9}}},"used_operators":["0kmYd0q39Y","3sJ7IOPOlU","tifHPKVTfV"],"dependent_operators":["N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","rysDP5nf3Z","t8gj7n24qd"],"result":"⋋%⋟0","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1940","layer":2},{"info":"number node, value=1631","layer":2},{"info":"compute binary expreesion, left_input=1940, right_input=1631, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":1},{"info":"number node, value=2116","layer":2},{"info":"number node, value=1513","layer":2},{"info":"compute binary expreesion, left_input=2116, right_input=1513, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-603","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-603, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=0","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟2585⪇≇⋚⋋%⋟2212)⩦(⋋%⋟2811⇼⇔∾⋋%⋟2061)=⋋%⋟0","reverse_text":"⋋%⋟0=(⋋%⋟2585⪇≇⋚⋋%⋟2212)⩦(⋋%⋟2811⇼⇔∾⋋%⋟2061)","cot":[{"info":"⋋%⋟2585⪇≇⋚⋋%⋟2212=⋋%⋟0","layer":1},{"info":"⋋%⋟2811⇼⇔∾⋋%⋟2061=⋋%⋟-740","layer":1},{"info":"⋋%⋟0⩦⋋%⋟-740=⋋%⋟0","layer":0}]}
+{"id":786,"expression_no_base_symbol":"($2980$→⨶⪴$3338$)∊∟⩊($7280$⫢⨠$7840$)","expression":"(⋋%⋟4071→⨶⪴⋋%⋟4518)∊∟⩊(⋋%⋟10878⫢⨠⋋%⋟11671)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":260,"operation_count":3,"complexity_ratio":86.66666666666667,"tree":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":2980,"base":9},"right_expr":{"type":"numeric_atoms","value":3338,"base":9}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":7280,"base":9},"right_expr":{"type":"numeric_atoms","value":7840,"base":9}}},"used_operators":["ddLRYrp01A","bF6eod5Gvf","xlXykHWxX1"],"dependent_operators":["59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","8w2t5hMYqp","9FxExcQeMw","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx"],"result":"⋋%⋟36","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2980","layer":2},{"info":"number node, value=3338","layer":2},{"info":"compute binary expreesion, left_input=2980, right_input=3338, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-10014","layer":1},{"info":"number node, value=7280","layer":2},{"info":"number node, value=7840","layer":2},{"info":"compute binary expreesion, left_input=7280, right_input=7840, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":1},{"info":"compute binary expreesion, left_input=-10014, right_input=160, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=33","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟4071→⨶⪴⋋%⋟4518)∊∟⩊(⋋%⋟10878⫢⨠⋋%⋟11671)=⋋%⋟36","reverse_text":"⋋%⋟36=(⋋%⋟4071→⨶⪴⋋%⋟4518)∊∟⩊(⋋%⋟10878⫢⨠⋋%⋟11671)","cot":[{"info":"⋋%⋟4071→⨶⪴⋋%⋟4518=⋋%⋟-14656","layer":1},{"info":"⋋%⋟10878⫢⨠⋋%⋟11671=⋋%⋟187","layer":1},{"info":"⋋%⋟-14656∊∟⩊⋋%⋟187=⋋%⋟36","layer":0}]}
+{"id":787,"expression_no_base_symbol":"$3517$⩇∃⫛$1874$∙⊟(⊄⩳↩$3048$)","expression":"⋋%⋟4737⩇∃⫛⋋%⋟2512∙⊟(⊄⩳↩⋋%⋟4156)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1249,"operation_count":3,"complexity_ratio":416.3333333333333,"tree":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":3517,"base":9},"right_expr":{"type":"numeric_atoms","value":1874,"base":9}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":3048,"base":9}}},"used_operators":["SxTAKzQCrw","1aApVXNlOP","8w2t5hMYqp"],"dependent_operators":["6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⋋%⋟46413","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3517","layer":2},{"info":"number node, value=1874","layer":2},{"info":"compute binary expreesion, left_input=3517, right_input=1874, 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=-1170","layer":1},{"info":"number node, value=3048","layer":2},{"info":"compute unary expreesion, input=3048, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-9144","layer":1},{"info":"compute binary expreesion, left_input=-1170, right_input=-9144, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=30954","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟4737⩇∃⫛⋋%⋟2512∙⊟(⊄⩳↩⋋%⋟4156)=⋋%⋟46413","reverse_text":"⋋%⋟46413=⋋%⋟4737⩇∃⫛⋋%⋟2512∙⊟(⊄⩳↩⋋%⋟4156)","cot":[{"info":"⋋%⋟4737⩇∃⫛⋋%⋟2512=⋋%⋟-1540","layer":1},{"info":"⊄⩳↩⋋%⋟4156=⋋%⋟-13480","layer":1},{"info":"⋋%⋟-1540∙⊟⋋%⋟-13480=⋋%⋟46413","layer":0}]}
+{"id":788,"expression_no_base_symbol":"⪹$5980$⩣⫁∢$1255$","expression":"⪹⋋%⋟8174⩣⫁∢⋋%⋟1644","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":20,"operation_count":2,"complexity_ratio":10.0,"tree":{"type":"unary","operator":"⪹","unary_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":5980,"base":9},"right_expr":{"type":"numeric_atoms","value":1255,"base":9}}},"used_operators":["USyYr0JgAa","JDUIKTTSIa"],"dependent_operators":["tifHPKVTfV","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG"],"result":"⋋%⋟17380","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=5980","layer":2},{"info":"number node, value=1255","layer":2},{"info":"compute binary expreesion, left_input=5980, right_input=1255, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-11799","layer":1},{"info":"compute unary expreesion, input=-11799, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=11979","layer":0}],"base":9,"result_base":9,"text":"⪹⋋%⋟8174⩣⫁∢⋋%⋟1644=⋋%⋟17380","reverse_text":"⋋%⋟17380=⪹⋋%⋟8174⩣⫁∢⋋%⋟1644","cot":[{"info":"⋋%⋟8174⩣⫁∢⋋%⋟1644=⋋%⋟-17160","layer":1},{"info":"⪹⋋%⋟-17160=⋋%⋟17380","layer":0}]}
+{"id":789,"expression_no_base_symbol":"($1094$⇔⨋)⪒⊣⊆($4229$⪢$5934$)","expression":"(⋋%⋟1445⇔⨋)⪒⊣⊆(⋋%⋟5718⪢⋋%⋟8123)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":5962,"operation_count":3,"complexity_ratio":1987.3333333333333,"tree":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"unary","operator":"⇔⨋","unary_expr":{"type":"numeric_atoms","value":1094,"base":9}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":4229,"base":9},"right_expr":{"type":"numeric_atoms","value":5934,"base":9}}},"used_operators":["eRqsBgTDFp","uBihLCJcMX","dWAJyo7jo9"],"dependent_operators":["sdazOOVcIp","W4YGzv6Whe","N41Kp7NANJ","7j4O788W3g","glklzrTFfD","tifHPKVTfV","12rbrZMWeM","f6k1SAg4EE","D4vGDi5EA2","nCS4ZIUYfx","QMFrweE19q","k8jYdgA6NY"],"result":"⋋%⋟16058","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1094","layer":2},{"info":"compute unary expreesion, input=1094, op_id = uBihLCJcMX, unary_op_definition = 'a⇔⨋ = { (((a⨁⊸⫻)⋳⪒a)⪒((a≦≮≮)⨁⊸⫻)) , if a<217 ; (((a≋⫹)⨳⩥⨓(a↺a))⋳⪒((a⨳⩥⨓a)⫡⨏(a⇼⇔∾a))) , else }', output=5494","layer":1},{"info":"number node, value=4229","layer":2},{"info":"number node, value=5934","layer":2},{"info":"compute binary expreesion, left_input=4229, right_input=5934, 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=5494, right_input=nan, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=10988","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟1445⇔⨋)⪒⊣⊆(⋋%⋟5718⪢⋋%⋟8123)=⋋%⋟16058","reverse_text":"⋋%⋟16058=(⋋%⋟1445⇔⨋)⪒⊣⊆(⋋%⋟5718⪢⋋%⋟8123)","cot":[{"info":"⋋%⋟1445⇔⨋=⋋%⋟7474","layer":1},{"info":"⋋%⋟5718⪢⋋%⋟8123=NaN","layer":1},{"info":"⋋%⋟7474⪒⊣⊆NaN=⋋%⋟16058","layer":0}]}
+{"id":790,"expression_no_base_symbol":"(⨵$3528$)⋭≵$5679$⨎$1597$","expression":"(⨵⋋%⋟4750)⋭≵⋋%⋟7710⨎⋋%⋟2164","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":97,"operation_count":3,"complexity_ratio":32.333333333333336,"tree":{"type":"binary","operator":"⋭≵","left_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"numeric_atoms","value":3528,"base":9}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":5679,"base":9},"right_expr":{"type":"numeric_atoms","value":1597,"base":9}}},"used_operators":["jBncVCNhdl","Tl3Y52tvF8","rJVOvQCfKK"],"dependent_operators":["RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"⋋%⋟74","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3528","layer":2},{"info":"compute unary expreesion, input=3528, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=-29433","layer":1},{"info":"number node, value=5679","layer":2},{"info":"number node, value=1597","layer":2},{"info":"compute binary expreesion, left_input=5679, right_input=1597, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1597","layer":1},{"info":"compute binary expreesion, left_input=-29433, right_input=1597, 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":9,"result_base":9,"text":"(⨵⋋%⋟4750)⋭≵⋋%⋟7710⨎⋋%⋟2164=⋋%⋟74","reverse_text":"⋋%⋟74=(⨵⋋%⋟4750)⋭≵⋋%⋟7710⨎⋋%⋟2164","cot":[{"info":"⨵⋋%⋟4750=⋋%⋟-44333","layer":1},{"info":"⋋%⋟7710⨎⋋%⋟2164=⋋%⋟2164","layer":1},{"info":"⋋%⋟-44333⋭≵⋋%⋟2164=⋋%⋟74","layer":0}]}
+{"id":791,"expression_no_base_symbol":"($2829$⨘)⪚($5683$⪚$4020$)","expression":"(⋋%⋟3783⨘)⪚(⋋%⋟7714⪚⋋%⋟5456)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2882,"operation_count":3,"complexity_ratio":960.6666666666666,"tree":{"type":"binary","operator":"⪚","left_expr":{"type":"unary","operator":"⨘","unary_expr":{"type":"numeric_atoms","value":2829,"base":9}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":5683,"base":9},"right_expr":{"type":"numeric_atoms","value":4020,"base":9}}},"used_operators":["HrjLwUk87U","ljcfZBUpm8"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","40aOVDgCDB","JL8yIekQnl","ocnLzx9CaJ"],"result":"⋋%⋟61225","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2829","layer":2},{"info":"compute unary expreesion, input=2829, op_id = ljcfZBUpm8, unary_op_definition = 'a⨘ = { ((4⊢)⩼⇪↪(a⋫)) }', output=-20578","layer":1},{"info":"number node, value=5683","layer":2},{"info":"number node, value=4020","layer":2},{"info":"compute binary expreesion, left_input=5683, right_input=4020, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=2970","layer":1},{"info":"compute binary expreesion, left_input=-20578, right_input=2970, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=40280","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟3783⨘)⪚(⋋%⋟7714⪚⋋%⋟5456)=⋋%⋟61225","reverse_text":"⋋%⋟61225=(⋋%⋟3783⨘)⪚(⋋%⋟7714⪚⋋%⋟5456)","cot":[{"info":"⋋%⋟3783⨘=⋋%⋟-31204","layer":1},{"info":"⋋%⋟7714⪚⋋%⋟5456=⋋%⋟4060","layer":1},{"info":"⋋%⋟-31204⪚⋋%⋟4060=⋋%⋟61225","layer":0}]}
+{"id":792,"expression_no_base_symbol":"($1070$⪶≀⋏$8818$)⇡⇂($1637$⪉⨛$4581$)","expression":"(⋋%⋟1418⪶≀⋏⋋%⋟13077)⇡⇂(⋋%⋟2218⪉⨛⋋%⋟6250)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2455,"operation_count":3,"complexity_ratio":818.3333333333334,"tree":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":1070,"base":9},"right_expr":{"type":"numeric_atoms","value":8818,"base":9}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":1637,"base":9},"right_expr":{"type":"numeric_atoms","value":4581,"base":9}}},"used_operators":["UMwdvZNt44","zR4jO40bMj","EWw2JM7wp4"],"dependent_operators":["9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1070","layer":2},{"info":"number node, value=8818","layer":2},{"info":"compute binary expreesion, left_input=1070, right_input=8818, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-21078","layer":1},{"info":"number node, value=1637","layer":2},{"info":"number node, value=4581","layer":2},{"info":"compute binary expreesion, left_input=1637, right_input=4581, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=545","layer":1},{"info":"compute binary expreesion, left_input=-21078, right_input=545, 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":9,"result_base":9,"text":"(⋋%⋟1418⪶≀⋏⋋%⋟13077)⇡⇂(⋋%⋟2218⪉⨛⋋%⋟6250)=NaN","reverse_text":"NaN=(⋋%⋟1418⪶≀⋏⋋%⋟13077)⇡⇂(⋋%⋟2218⪉⨛⋋%⋟6250)","cot":[{"info":"⋋%⋟1418⪶≀⋏⋋%⋟13077=⋋%⋟-31820","layer":1},{"info":"⋋%⋟2218⪉⨛⋋%⋟6250=⋋%⋟665","layer":1},{"info":"⋋%⋟-31820⇡⇂⋋%⋟665=NaN","layer":0}]}
+{"id":793,"expression_no_base_symbol":"⩦⩻⨪$1071$⇻⋧≁$8492$","expression":"⩦⩻⨪⋋%⋟1420⇻⋧≁⋋%⋟12575","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1101,"operation_count":2,"complexity_ratio":550.5,"tree":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":1071,"base":9},"right_expr":{"type":"numeric_atoms","value":8492,"base":9}}},"used_operators":["2td37pGCOC","jCPkEVoL5K"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe"],"result":"⋋%⋟-546","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1071","layer":2},{"info":"number node, value=8492","layer":2},{"info":"compute binary expreesion, left_input=1071, right_input=8492, 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 unary expreesion, input=-447, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-447","layer":0}],"base":9,"result_base":9,"text":"⩦⩻⨪⋋%⋟1420⇻⋧≁⋋%⋟12575=⋋%⋟-546","reverse_text":"⋋%⋟-546=⩦⩻⨪⋋%⋟1420⇻⋧≁⋋%⋟12575","cot":[{"info":"⋋%⋟1420⇻⋧≁⋋%⋟12575=⋋%⋟-546","layer":1},{"info":"⩦⩻⨪⋋%⋟-546=⋋%⋟-546","layer":0}]}
+{"id":794,"expression_no_base_symbol":"$1365$↳∿⪆$1798$⪕$1202$⨫⇇↔$2165$","expression":"⋋%⋟1776↳∿⪆⋋%⋟2417⪕⋋%⋟1575⨫⇇↔⋋%⋟2865","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2423,"operation_count":3,"complexity_ratio":807.6666666666666,"tree":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":1365,"base":9},"right_expr":{"type":"numeric_atoms","value":1798,"base":9}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":1202,"base":9},"right_expr":{"type":"numeric_atoms","value":2165,"base":9}}},"used_operators":["umQnsF7QlU","Cw4SuJJGHO","LXhwmt4mBO"],"dependent_operators":["P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK"],"result":"⋋%⋟1248","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1365","layer":2},{"info":"number node, value=1798","layer":2},{"info":"compute binary expreesion, left_input=1365, right_input=1798, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":1},{"info":"number node, value=1202","layer":2},{"info":"number node, value=2165","layer":2},{"info":"compute binary expreesion, left_input=1202, right_input=2165, 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 = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=935","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟1776↳∿⪆⋋%⋟2417⪕⋋%⋟1575⨫⇇↔⋋%⋟2865=⋋%⋟1248","reverse_text":"⋋%⋟1248=⋋%⋟1776↳∿⪆⋋%⋟2417⪕⋋%⋟1575⨫⇇↔⋋%⋟2865","cot":[{"info":"⋋%⋟1776↳∿⪆⋋%⋟2417=NaN","layer":1},{"info":"⋋%⋟1575⨫⇇↔⋋%⋟2865=⋋%⋟-645","layer":1},{"info":"NaN⪕⋋%⋟-645=⋋%⋟1248","layer":0}]}
+{"id":795,"expression_no_base_symbol":"$3010$⇂≾⫗$6812$⋭≵$3499$⊴$6041$","expression":"⋋%⋟4114⇂≾⫗⋋%⋟10308⋭≵⋋%⋟4717⊴⋋%⋟8252","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6147,"operation_count":3,"complexity_ratio":2049.0,"tree":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":3010,"base":9},"right_expr":{"type":"numeric_atoms","value":6812,"base":9}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3499,"base":9},"right_expr":{"type":"numeric_atoms","value":6041,"base":9}}},"used_operators":["jBncVCNhdl","aBQ6xLxuTc","Nsiff2A1zJ"],"dependent_operators":["RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","dWAJyo7jo9","14qkJME0vr"],"result":"⋋%⋟74","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=3010","layer":2},{"info":"number node, value=6812","layer":2},{"info":"compute binary expreesion, left_input=3010, right_input=6812, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":1},{"info":"number node, value=3499","layer":2},{"info":"number node, value=6041","layer":2},{"info":"compute binary expreesion, left_input=3499, right_input=6041, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-676, 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":0}],"base":9,"result_base":9,"text":"⋋%⋟4114⇂≾⫗⋋%⋟10308⋭≵⋋%⋟4717⊴⋋%⋟8252=⋋%⋟74","reverse_text":"⋋%⋟74=⋋%⋟4114⇂≾⫗⋋%⋟10308⋭≵⋋%⋟4717⊴⋋%⋟8252","cot":[{"info":"⋋%⋟4114⇂≾⫗⋋%⋟10308=⋋%⋟-831","layer":1},{"info":"⋋%⋟4717⊴⋋%⋟8252=NaN","layer":1},{"info":"⋋%⋟-831⋭≵NaN=⋋%⋟74","layer":0}]}
+{"id":796,"expression_no_base_symbol":"(⨡↴$2806$)⪒⊣⊆($1780$⪁$5997$)","expression":"(⨡↴⋋%⋟3757)⪒⊣⊆(⋋%⋟2387⪁⋋%⋟8203)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":587372855,"operation_count":3,"complexity_ratio":195790951.66666666,"tree":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"numeric_atoms","value":2806,"base":9}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":1780,"base":9},"right_expr":{"type":"numeric_atoms","value":5997,"base":9}}},"used_operators":["eRqsBgTDFp","liw5iZPkLH","I7sXao9hZE"],"dependent_operators":["sdazOOVcIp","W4YGzv6Whe","W4YGzv6Whe","P8v4zCKN1o","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY"],"result":"⋋%⋟11516","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=2806","layer":2},{"info":"compute unary expreesion, input=2806, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=3855","layer":1},{"info":"number node, value=1780","layer":2},{"info":"number node, value=5997","layer":2},{"info":"compute binary expreesion, left_input=1780, right_input=5997, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=3855, right_input=nan, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=7710","layer":0}],"base":9,"result_base":9,"text":"(⨡↴⋋%⋟3757)⪒⊣⊆(⋋%⋟2387⪁⋋%⋟8203)=⋋%⋟11516","reverse_text":"⋋%⋟11516=(⨡↴⋋%⋟3757)⪒⊣⊆(⋋%⋟2387⪁⋋%⋟8203)","cot":[{"info":"⨡↴⋋%⋟3757=⋋%⋟5253","layer":1},{"info":"⋋%⋟2387⪁⋋%⋟8203=NaN","layer":1},{"info":"⋋%⋟5253⪒⊣⊆NaN=⋋%⋟11516","layer":0}]}
+{"id":797,"expression_no_base_symbol":"$2336$⊲⩕⊾$5352$⩵∡$1135$≹⇙⪍$3544$","expression":"⋋%⋟3175⊲⩕⊾⋋%⋟7306⩵∡⋋%⋟1501≹⇙⪍⋋%⋟4767","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":34,"operation_count":3,"complexity_ratio":11.333333333333334,"tree":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":2336,"base":9},"right_expr":{"type":"numeric_atoms","value":5352,"base":9}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1135,"base":9},"right_expr":{"type":"numeric_atoms","value":3544,"base":9}}},"used_operators":["Y7wcNGrDQJ","DmTXOeWf9t","AHs5Up7iyr"],"dependent_operators":["NTOWxs364D","glklzrTFfD","tifHPKVTfV","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2336","layer":2},{"info":"number node, value=5352","layer":2},{"info":"compute binary expreesion, left_input=2336, right_input=5352, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-87526","layer":1},{"info":"number node, value=1135","layer":2},{"info":"number node, value=3544","layer":2},{"info":"compute binary expreesion, left_input=1135, right_input=3544, 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 binary expreesion, left_input=-87526, right_input=nan, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟3175⊲⩕⊾⋋%⋟7306⩵∡⋋%⋟1501≹⇙⪍⋋%⋟4767=NaN","reverse_text":"NaN=⋋%⋟3175⊲⩕⊾⋋%⋟7306⩵∡⋋%⋟1501≹⇙⪍⋋%⋟4767","cot":[{"info":"⋋%⋟3175⊲⩕⊾⋋%⋟7306=⋋%⋟-143051","layer":1},{"info":"⋋%⋟1501≹⇙⪍⋋%⋟4767=NaN","layer":1},{"info":"⋋%⋟-143051⩵∡NaN=NaN","layer":0}]}
+{"id":798,"expression_no_base_symbol":"⨑⩽⪐$1289$↤⩊$2132$","expression":"⨑⩽⪐⋋%⋟1682↤⩊⋋%⋟2828","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":180,"operation_count":2,"complexity_ratio":90.0,"tree":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":1289,"base":9},"right_expr":{"type":"numeric_atoms","value":2132,"base":9}}},"used_operators":["AF7qkfDlqP","13rbtpv6ld"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1289","layer":2},{"info":"number node, value=2132","layer":2},{"info":"compute binary expreesion, left_input=1289, right_input=2132, 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 = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=nan","layer":0}],"base":9,"result_base":9,"text":"⨑⩽⪐⋋%⋟1682↤⩊⋋%⋟2828=NaN","reverse_text":"NaN=⨑⩽⪐⋋%⋟1682↤⩊⋋%⋟2828","cot":[{"info":"⋋%⋟1682↤⩊⋋%⋟2828=NaN","layer":1},{"info":"⨑⩽⪐NaN=NaN","layer":0}]}
+{"id":799,"expression_no_base_symbol":"($3127$⫌⩉⩟$1543$)⪪(⨙⪌$6673$)","expression":"(⋋%⋟4254⫌⩉⩟⋋%⋟2104)⪪(⨙⪌⋋%⋟10134)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8565,"operation_count":3,"complexity_ratio":2855.0,"tree":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":3127,"base":9},"right_expr":{"type":"numeric_atoms","value":1543,"base":9}},"right_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"numeric_atoms","value":6673,"base":9}}},"used_operators":["xD69zh8xqp","XIIwhv8d0m","vEGLkm4Z2k"],"dependent_operators":["FU0Cs4j7VP","JclMnS0uGI","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X"],"result":"⋋%⋟5345","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=3127","layer":2},{"info":"number node, value=1543","layer":2},{"info":"compute binary expreesion, left_input=3127, right_input=1543, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":1},{"info":"number node, value=6673","layer":2},{"info":"compute unary expreesion, input=6673, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":1},{"info":"compute binary expreesion, left_input=-50, right_input=868, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=3929","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟4254⫌⩉⩟⋋%⋟2104)⪪(⨙⪌⋋%⋟10134)=⋋%⋟5345","reverse_text":"⋋%⋟5345=(⋋%⋟4254⫌⩉⩟⋋%⋟2104)⪪(⨙⪌⋋%⋟10134)","cot":[{"info":"⋋%⋟4254⫌⩉⩟⋋%⋟2104=⋋%⋟-55","layer":1},{"info":"⨙⪌⋋%⋟10134=⋋%⋟1164","layer":1},{"info":"⋋%⋟-55⪪⋋%⋟1164=⋋%⋟5345","layer":0}]}
+{"id":800,"expression_no_base_symbol":"⇜⊴($1740$⪨≂$1326$)","expression":"⇜⊴(⋋%⋟2343⪨≂⋋%⋟1733)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":83,"operation_count":2,"complexity_ratio":41.5,"tree":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1740,"base":9},"right_expr":{"type":"numeric_atoms","value":1326,"base":9}}},"used_operators":["XwDhCwWbUn","sdazOOVcIp"],"dependent_operators":["WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","rysDP5nf3Z","t8gj7n24qd"],"result":"⋋%⋟-343228","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1740","layer":2},{"info":"number node, value=1326","layer":2},{"info":"compute binary expreesion, left_input=1740, right_input=1326, 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=930","layer":1},{"info":"compute unary expreesion, input=930, 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=-205766","layer":0}],"base":9,"result_base":9,"text":"⇜⊴(⋋%⋟2343⪨≂⋋%⋟1733)=⋋%⋟-343228","reverse_text":"⋋%⋟-343228=⇜⊴(⋋%⋟2343⪨≂⋋%⋟1733)","cot":[{"info":"⋋%⋟2343⪨≂⋋%⋟1733=⋋%⋟1243","layer":1},{"info":"⇜⊴⋋%⋟1243=⋋%⋟-343228","layer":0}]}
+{"id":801,"expression_no_base_symbol":"($2191$≭$1232$)⊢($4176$⫸⇳$5033$)","expression":"(⋋%⋟3004≭⋋%⋟1618)⊢(⋋%⋟5650⫸⇳⋋%⋟6812)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":35,"operation_count":3,"complexity_ratio":11.666666666666666,"tree":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2191,"base":9},"right_expr":{"type":"numeric_atoms","value":1232,"base":9}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":4176,"base":9},"right_expr":{"type":"numeric_atoms","value":5033,"base":9}}},"used_operators":["5twsqlHp2o","rxpJgHHUmx","gx7XJ7hdpj"],"dependent_operators":["P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","AHs5Up7iyr","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=2191","layer":2},{"info":"number node, value=1232","layer":2},{"info":"compute binary expreesion, left_input=2191, right_input=1232, 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=4176","layer":2},{"info":"number node, value=5033","layer":2},{"info":"compute binary expreesion, left_input=4176, right_input=5033, 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 = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟3004≭⋋%⋟1618)⊢(⋋%⋟5650⫸⇳⋋%⋟6812)=NaN","reverse_text":"NaN=(⋋%⋟3004≭⋋%⋟1618)⊢(⋋%⋟5650⫸⇳⋋%⋟6812)","cot":[{"info":"⋋%⋟3004≭⋋%⋟1618=NaN","layer":1},{"info":"⋋%⋟5650⫸⇳⋋%⋟6812=⋋%⋟0","layer":1},{"info":"NaN⊢⋋%⋟0=NaN","layer":0}]}
+{"id":802,"expression_no_base_symbol":"($1164$⨫⇇↔$1800$)⩼⇪↪($3847$⪮%⊝$2248$)","expression":"(⋋%⋟1533⨫⇇↔⋋%⋟2420)⩼⇪↪(⋋%⋟5244⪮%⊝⋋%⋟3067)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":35,"operation_count":3,"complexity_ratio":11.666666666666666,"tree":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":1164,"base":9},"right_expr":{"type":"numeric_atoms","value":1800,"base":9}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3847,"base":9},"right_expr":{"type":"numeric_atoms","value":2248,"base":9}}},"used_operators":["ocnLzx9CaJ","LXhwmt4mBO","IWmyXbctLI"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"⋋%⋟-87381","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1164","layer":2},{"info":"number node, value=1800","layer":2},{"info":"compute binary expreesion, left_input=1164, right_input=1800, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":1},{"info":"number node, value=3847","layer":2},{"info":"number node, value=2248","layer":2},{"info":"compute binary expreesion, left_input=3847, right_input=2248, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=8010","layer":1},{"info":"compute binary expreesion, left_input=-527, right_input=8010, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-57907","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟1533⨫⇇↔⋋%⋟2420)⩼⇪↪(⋋%⋟5244⪮%⊝⋋%⋟3067)=⋋%⋟-87381","reverse_text":"⋋%⋟-87381=(⋋%⋟1533⨫⇇↔⋋%⋟2420)⩼⇪↪(⋋%⋟5244⪮%⊝⋋%⋟3067)","cot":[{"info":"⋋%⋟1533⨫⇇↔⋋%⋟2420=⋋%⋟-645","layer":1},{"info":"⋋%⋟5244⪮%⊝⋋%⋟3067=⋋%⋟11880","layer":1},{"info":"⋋%⋟-645⩼⇪↪⋋%⋟11880=⋋%⋟-87381","layer":0}]}
+{"id":803,"expression_no_base_symbol":"(⊑$2130$)⫡⨏$2324$⊨$1221$","expression":"(⊑⋋%⋟2826)⫡⨏⋋%⋟3162⊨⋋%⋟1606","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":426,"operation_count":3,"complexity_ratio":142.0,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"numeric_atoms","value":2130,"base":9}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":2324,"base":9},"right_expr":{"type":"numeric_atoms","value":1221,"base":9}}},"used_operators":["QMFrweE19q","IkUmn0D7oy","vg4gO5BX6G"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP"],"result":"⋋%⋟33645","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2130","layer":2},{"info":"compute unary expreesion, input=2130, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":1},{"info":"number node, value=2324","layer":2},{"info":"number node, value=1221","layer":2},{"info":"compute binary expreesion, left_input=2324, right_input=1221, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=10327","layer":1},{"info":"compute binary expreesion, left_input=192, right_input=10327, 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=22397","layer":0}],"base":9,"result_base":9,"text":"(⊑⋋%⋟2826)⫡⨏⋋%⋟3162⊨⋋%⋟1606=⋋%⋟33645","reverse_text":"⋋%⋟33645=(⊑⋋%⋟2826)⫡⨏⋋%⋟3162⊨⋋%⋟1606","cot":[{"info":"⊑⋋%⋟2826=⋋%⋟233","layer":1},{"info":"⋋%⋟3162⊨⋋%⋟1606=⋋%⋟15144","layer":1},{"info":"⋋%⋟233⫡⨏⋋%⋟15144=⋋%⋟33645","layer":0}]}
+{"id":804,"expression_no_base_symbol":"($3288$⩢≌)⫗⊷⫓($8069$⪶≀⋏$2516$)","expression":"(⋋%⋟4453⩢≌)⫗⊷⫓(⋋%⋟12055⪶≀⋏⋋%⋟3405)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1152,"operation_count":3,"complexity_ratio":384.0,"tree":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"unary","operator":"⩢≌","unary_expr":{"type":"numeric_atoms","value":3288,"base":9}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":8069,"base":9},"right_expr":{"type":"numeric_atoms","value":2516,"base":9}}},"used_operators":["zashukvMKz","D617RFjZIq","zR4jO40bMj"],"dependent_operators":["xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","hTbEZDJLEm","o20kRiQErp","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL"],"result":"⋋%⋟-158","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3288","layer":2},{"info":"compute unary expreesion, input=3288, op_id = D617RFjZIq, unary_op_definition = 'a⩢≌ = { ((a∸)∟) }', output=113","layer":1},{"info":"number node, value=8069","layer":2},{"info":"number node, value=2516","layer":2},{"info":"compute binary expreesion, left_input=8069, right_input=2516, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-29471","layer":1},{"info":"compute binary expreesion, left_input=113, right_input=-29471, 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":9,"result_base":9,"text":"(⋋%⋟4453⩢≌)⫗⊷⫓(⋋%⋟12055⪶≀⋏⋋%⋟3405)=⋋%⋟-158","reverse_text":"⋋%⋟-158=(⋋%⋟4453⩢≌)⫗⊷⫓(⋋%⋟12055⪶≀⋏⋋%⋟3405)","cot":[{"info":"⋋%⋟4453⩢≌=⋋%⋟135","layer":1},{"info":"⋋%⋟12055⪶≀⋏⋋%⋟3405=⋋%⋟-44375","layer":1},{"info":"⋋%⋟135⫗⊷⫓⋋%⋟-44375=⋋%⋟-158","layer":0}]}
+{"id":805,"expression_no_base_symbol":"(↞≼$3923$)%$2782$∛$2069$","expression":"(↞≼⋋%⋟5338)%⋋%⋟3731∛⋋%⋟2748","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":157,"operation_count":3,"complexity_ratio":52.333333333333336,"tree":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"numeric_atoms","value":3923,"base":9}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":2782,"base":9},"right_expr":{"type":"numeric_atoms","value":2069,"base":9}}},"used_operators":["k8jYdgA6NY","DE7zCoGJt9","w2537kitQq"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc"],"result":"⋋%⋟-637","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3923","layer":2},{"info":"compute unary expreesion, input=3923, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=30970","layer":1},{"info":"number node, value=2782","layer":2},{"info":"number node, value=2069","layer":2},{"info":"compute binary expreesion, left_input=2782, right_input=2069, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":1},{"info":"compute binary expreesion, left_input=30970, right_input=-670, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-520","layer":0}],"base":9,"result_base":9,"text":"(↞≼⋋%⋟5338)%⋋%⋟3731∛⋋%⋟2748=⋋%⋟-637","reverse_text":"⋋%⋟-637=(↞≼⋋%⋟5338)%⋋%⋟3731∛⋋%⋟2748","cot":[{"info":"↞≼⋋%⋟5338=⋋%⋟46431","layer":1},{"info":"⋋%⋟3731∛⋋%⋟2748=⋋%⋟-824","layer":1},{"info":"⋋%⋟46431%⋋%⋟-824=⋋%⋟-637","layer":0}]}
+{"id":806,"expression_no_base_symbol":"⇜(⊲⪭$3998$)","expression":"⇜(⊲⪭⋋%⋟5432)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1450,"operation_count":2,"complexity_ratio":725.0,"tree":{"type":"unary","operator":"⇜","unary_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"numeric_atoms","value":3998,"base":9}}},"used_operators":["lFBm8KRb8F","k7HXdKtiEU"],"dependent_operators":["s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","i8ToyICDmI","xUOZtlo3hN"],"result":"⋋%⋟277","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3998","layer":2},{"info":"compute unary expreesion, input=3998, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-4172","layer":1},{"info":"compute unary expreesion, input=-4172, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=232","layer":0}],"base":9,"result_base":9,"text":"⇜(⊲⪭⋋%⋟5432)=⋋%⋟277","reverse_text":"⋋%⋟277=⇜(⊲⪭⋋%⋟5432)","cot":[{"info":"⊲⪭⋋%⋟5432=⋋%⋟-5645","layer":1},{"info":"⇜⋋%⋟-5645=⋋%⋟277","layer":0}]}
+{"id":807,"expression_no_base_symbol":"⊀(⇐$6613$)","expression":"⊀(⇐⋋%⋟10057)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":63,"operation_count":2,"complexity_ratio":31.5,"tree":{"type":"unary","operator":"⊀","unary_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"numeric_atoms","value":6613,"base":9}}},"used_operators":["oPMjh9089D","nmZMaaE0Q9"],"dependent_operators":["Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG"],"result":"⋋%⋟13330","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=6613","layer":2},{"info":"compute unary expreesion, input=6613, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=2320","layer":1},{"info":"compute unary expreesion, input=2320, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=9018","layer":0}],"base":9,"result_base":9,"text":"⊀(⇐⋋%⋟10057)=⋋%⋟13330","reverse_text":"⋋%⋟13330=⊀(⇐⋋%⋟10057)","cot":[{"info":"⇐⋋%⋟10057=⋋%⋟3157","layer":1},{"info":"⊀⋋%⋟3157=⋋%⋟13330","layer":0}]}
+{"id":808,"expression_no_base_symbol":"($1139$⫰⋱$4047$)∌($3540$⇐≅)","expression":"(⋋%⋟1505⫰⋱⋋%⋟5486)∌(⋋%⋟4763⇐≅)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":24,"operation_count":3,"complexity_ratio":8.0,"tree":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":1139,"base":9},"right_expr":{"type":"numeric_atoms","value":4047,"base":9}},"right_expr":{"type":"unary","operator":"⇐≅","unary_expr":{"type":"numeric_atoms","value":3540,"base":9}}},"used_operators":["8cLx32lpNA","6o9Blt3TJ6","wEfv7U73WA"],"dependent_operators":["N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","9FxExcQeMw","t8gj7n24qd","Ph9nP6C5qx","i8ToyICDmI"],"result":"⋋%⋟-1458","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1139","layer":2},{"info":"number node, value=4047","layer":2},{"info":"compute binary expreesion, left_input=1139, right_input=4047, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-1106","layer":1},{"info":"number node, value=3540","layer":2},{"info":"compute unary expreesion, input=3540, op_id = wEfv7U73WA, unary_op_definition = 'a⇐≅ = { ((a⩷∴(a∲⫓a))≧⫂∧(-a)) }', output=10588","layer":1},{"info":"compute binary expreesion, left_input=-1106, right_input=10588, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-1106","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟1505⫰⋱⋋%⋟5486)∌(⋋%⋟4763⇐≅)=⋋%⋟-1458","reverse_text":"⋋%⋟-1458=(⋋%⋟1505⫰⋱⋋%⋟5486)∌(⋋%⋟4763⇐≅)","cot":[{"info":"⋋%⋟1505⫰⋱⋋%⋟5486=⋋%⋟-1458","layer":1},{"info":"⋋%⋟4763⇐≅=⋋%⋟15464","layer":1},{"info":"⋋%⋟-1458∌⋋%⋟15464=⋋%⋟-1458","layer":0}]}
+{"id":809,"expression_no_base_symbol":"$5244$⨑⩅≇$3308$*(≑⋹$2280$)","expression":"⋋%⋟7166⨑⩅≇⋋%⋟4475*(≑⋹⋋%⋟3113)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5116,"operation_count":3,"complexity_ratio":1705.3333333333333,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":5244,"base":9},"right_expr":{"type":"numeric_atoms","value":3308,"base":9}},"right_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"numeric_atoms","value":2280,"base":9}}},"used_operators":["9HNa5Wba9A","h92wMvzauj","6B9nyZLogK"],"dependent_operators":["W4YGzv6Whe","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C"],"result":"⋋%⋟-53753360","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=5244","layer":2},{"info":"number node, value=3308","layer":2},{"info":"compute binary expreesion, left_input=5244, right_input=3308, 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=-15732","layer":1},{"info":"number node, value=2280","layer":2},{"info":"compute unary expreesion, input=2280, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=1650","layer":1},{"info":"compute binary expreesion, left_input=-15732, right_input=1650, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-25957800","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟7166⨑⩅≇⋋%⋟4475*(≑⋹⋋%⋟3113)=⋋%⋟-53753360","reverse_text":"⋋%⋟-53753360=⋋%⋟7166⨑⩅≇⋋%⋟4475*(≑⋹⋋%⋟3113)","cot":[{"info":"⋋%⋟7166⨑⩅≇⋋%⋟4475=⋋%⋟-23520","layer":1},{"info":"≑⋹⋋%⋟3113=⋋%⋟2233","layer":1},{"info":"⋋%⋟-23520*⋋%⋟2233=⋋%⋟-53753360","layer":0}]}
+{"id":810,"expression_no_base_symbol":"($4044$⋕⪉⪜$1268$)⨕⋳","expression":"(⋋%⋟5483⋕⪉⪜⋋%⋟1658)⨕⋳","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":121,"operation_count":2,"complexity_ratio":60.5,"tree":{"type":"unary","operator":"⨕⋳","unary_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":4044,"base":9},"right_expr":{"type":"numeric_atoms","value":1268,"base":9}}},"used_operators":["4X4GscPmMf","z6LnFrNh4i"],"dependent_operators":["9bazX3JMtO","nhYeJWJD5X","DbCuESL50I","3EYGwJThht","w2P8NbNXyL","uFcxV4UQCh","bJkvcejdHO","BUOGQAYlQx","cTDWOvIxvz","hrf7POJlIJ","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z"],"result":"⋋%⋟272881","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=4044","layer":2},{"info":"number node, value=1268","layer":2},{"info":"compute binary expreesion, left_input=4044, right_input=1268, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":1},{"info":"compute unary expreesion, input=2802, op_id = 4X4GscPmMf, unary_op_definition = 'a⨕⋳ = { ((⋼∭⪍(a∴a))⊉↱≁(⋂(a↹⊜60))) , if (a∝72)!=68 ; (((a≎⊠⪸503)⇄(a∇⊂⋱a))⪛a) , else }', output=166204","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟5483⋕⪉⪜⋋%⋟1658)⨕⋳=⋋%⋟272881","reverse_text":"⋋%⋟272881=(⋋%⋟5483⋕⪉⪜⋋%⋟1658)⨕⋳","cot":[{"info":"⋋%⋟5483⋕⪉⪜⋋%⋟1658=⋋%⋟3753","layer":1},{"info":"⋋%⋟3753⨕⋳=⋋%⋟272881","layer":0}]}
+{"id":811,"expression_no_base_symbol":"→⩰$5759$∓⋝$3939$","expression":"→⩰⋋%⋟7808∓⋝⋋%⋟5356","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":489,"operation_count":2,"complexity_ratio":244.5,"tree":{"type":"unary","operator":"→⩰","unary_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":5759,"base":9},"right_expr":{"type":"numeric_atoms","value":3939,"base":9}}},"used_operators":["o8Pngz0Tml","PoHhknlbAi"],"dependent_operators":["9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=5759","layer":2},{"info":"number node, value=3939","layer":2},{"info":"compute binary expreesion, left_input=5759, right_input=3939, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":1},{"info":"compute unary expreesion, input=67, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"→⩰⋋%⋟7808∓⋝⋋%⋟5356=NaN","reverse_text":"NaN=→⩰⋋%⋟7808∓⋝⋋%⋟5356","cot":[{"info":"⋋%⋟7808∓⋝⋋%⋟5356=⋋%⋟74","layer":1},{"info":"→⩰⋋%⋟74=NaN","layer":0}]}
+{"id":812,"expression_no_base_symbol":"($4952$⨼⩣$5473$)∴($2996$⪪$4375$)","expression":"(⋋%⋟6712⨼⩣⋋%⋟7451)∴(⋋%⋟4088⪪⋋%⋟6001)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":9512,"operation_count":3,"complexity_ratio":3170.6666666666665,"tree":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":4952,"base":9},"right_expr":{"type":"numeric_atoms","value":5473,"base":9}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":2996,"base":9},"right_expr":{"type":"numeric_atoms","value":4375,"base":9}}},"used_operators":["hrf7POJlIJ","JxwMv5le6e","xD69zh8xqp"],"dependent_operators":["g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","FU0Cs4j7VP","JclMnS0uGI"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=4952","layer":2},{"info":"number node, value=5473","layer":2},{"info":"compute binary expreesion, left_input=4952, right_input=5473, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":1},{"info":"number node, value=2996","layer":2},{"info":"number node, value=4375","layer":2},{"info":"compute binary expreesion, left_input=2996, right_input=4375, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-448485","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-448485, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟6712⨼⩣⋋%⋟7451)∴(⋋%⋟4088⪪⋋%⋟6001)=NaN","reverse_text":"NaN=(⋋%⋟6712⨼⩣⋋%⋟7451)∴(⋋%⋟4088⪪⋋%⋟6001)","cot":[{"info":"⋋%⋟6712⨼⩣⋋%⋟7451=NaN","layer":1},{"info":"⋋%⋟4088⪪⋋%⋟6001=⋋%⋟-753176","layer":1},{"info":"NaN∴⋋%⋟-753176=NaN","layer":0}]}
+{"id":813,"expression_no_base_symbol":"$3533$≄⊠$2504$⪄$1817$∠⫱$1895$","expression":"⋋%⋟4755≄⊠⋋%⋟3382⪄⋋%⋟2438∠⫱⋋%⋟2535","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":162,"operation_count":3,"complexity_ratio":54.0,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":3533,"base":9},"right_expr":{"type":"numeric_atoms","value":2504,"base":9}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":1817,"base":9},"right_expr":{"type":"numeric_atoms","value":1895,"base":9}}},"used_operators":["SUmda5xLS4","vXNesLlMH1","QvoQhV0rrE"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP"],"result":"⋋%⋟-13411717","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3533","layer":2},{"info":"number node, value=2504","layer":2},{"info":"compute binary expreesion, left_input=3533, right_input=2504, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=44732","layer":1},{"info":"number node, value=1817","layer":2},{"info":"number node, value=1895","layer":2},{"info":"compute binary expreesion, left_input=1817, right_input=1895, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":1},{"info":"compute binary expreesion, left_input=44732, right_input=1234, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-6621361","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟4755≄⊠⋋%⋟3382⪄⋋%⋟2438∠⫱⋋%⋟2535=⋋%⋟-13411717","reverse_text":"⋋%⋟-13411717=⋋%⋟4755≄⊠⋋%⋟3382⪄⋋%⋟2438∠⫱⋋%⋟2535","cot":[{"info":"⋋%⋟4755≄⊠⋋%⋟3382=⋋%⋟67322","layer":1},{"info":"⋋%⋟2438∠⫱⋋%⋟2535=⋋%⋟1621","layer":1},{"info":"⋋%⋟67322⪄⋋%⋟1621=⋋%⋟-13411717","layer":0}]}
+{"id":814,"expression_no_base_symbol":"($5621$≳⇉$4053$)↹⊜($1820$⊋≦⊧$1105$)","expression":"(⋋%⋟7635≳⇉⋋%⋟5503)↹⊜(⋋%⋟2442⊋≦⊧⋋%⋟1457)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":217835054,"operation_count":3,"complexity_ratio":72611684.66666667,"tree":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":5621,"base":9},"right_expr":{"type":"numeric_atoms","value":4053,"base":9}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":1820,"base":9},"right_expr":{"type":"numeric_atoms","value":1105,"base":9}}},"used_operators":["9bazX3JMtO","V0kx6qeWkN","oRDoc9rAEX"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=5621","layer":2},{"info":"number node, value=4053","layer":2},{"info":"compute binary expreesion, left_input=5621, right_input=4053, 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=1820","layer":2},{"info":"number node, value=1105","layer":2},{"info":"compute binary expreesion, left_input=1820, right_input=1105, 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=-1970","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1970, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟7635≳⇉⋋%⋟5503)↹⊜(⋋%⋟2442⊋≦⊧⋋%⋟1457)=NaN","reverse_text":"NaN=(⋋%⋟7635≳⇉⋋%⋟5503)↹⊜(⋋%⋟2442⊋≦⊧⋋%⋟1457)","cot":[{"info":"⋋%⋟7635≳⇉⋋%⋟5503=NaN","layer":1},{"info":"⋋%⋟2442⊋≦⊧⋋%⋟1457=⋋%⋟-2628","layer":1},{"info":"NaN↹⊜⋋%⋟-2628=NaN","layer":0}]}
+{"id":815,"expression_no_base_symbol":"⫛⫱⨽$3575$⨐$8811$","expression":"⫛⫱⨽⋋%⋟4812⨐⋋%⋟13070","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1426,"operation_count":2,"complexity_ratio":713.0,"tree":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":3575,"base":9},"right_expr":{"type":"numeric_atoms","value":8811,"base":9}}},"used_operators":["DlLNRPXxWL","Noe24qw2ks"],"dependent_operators":["rGHVDoGpnC","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q"],"result":"⋋%⋟0","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3575","layer":2},{"info":"number node, value=8811","layer":2},{"info":"compute binary expreesion, left_input=3575, right_input=8811, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-7150","layer":1},{"info":"compute unary expreesion, input=-7150, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":0}],"base":9,"result_base":9,"text":"⫛⫱⨽⋋%⋟4812⨐⋋%⋟13070=⋋%⋟0","reverse_text":"⋋%⋟0=⫛⫱⨽⋋%⋟4812⨐⋋%⋟13070","cot":[{"info":"⋋%⋟4812⨐⋋%⋟13070=⋋%⋟-10724","layer":1},{"info":"⫛⫱⨽⋋%⋟-10724=⋋%⋟0","layer":0}]}
+{"id":816,"expression_no_base_symbol":"$2226$∋$2675$↼⊘⨖($4858$⪨⊡$3957$)","expression":"⋋%⋟3043∋⋋%⋟3602↼⊘⨖(⋋%⋟6587⪨⊡⋋%⋟5376)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":128,"operation_count":3,"complexity_ratio":42.666666666666664,"tree":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":2226,"base":9},"right_expr":{"type":"numeric_atoms","value":2675,"base":9}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":4858,"base":9},"right_expr":{"type":"numeric_atoms","value":3957,"base":9}}},"used_operators":["bPywburJMS","ukq6epAj5P","kuIXHzHcAH"],"dependent_operators":["9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP"],"result":"⋋%⋟-266","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2226","layer":2},{"info":"number node, value=2675","layer":2},{"info":"compute binary expreesion, left_input=2226, right_input=2675, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=5604680","layer":1},{"info":"number node, value=4858","layer":2},{"info":"number node, value=3957","layer":2},{"info":"compute binary expreesion, left_input=4858, right_input=3957, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=5604680, right_input=0, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=-222","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟3043∋⋋%⋟3602↼⊘⨖(⋋%⋟6587⪨⊡⋋%⋟5376)=⋋%⋟-266","reverse_text":"⋋%⋟-266=⋋%⋟3043∋⋋%⋟3602↼⊘���(⋋%⋟6587⪨⊡⋋%⋟5376)","cot":[{"info":"⋋%⋟3043∋⋋%⋟3602=⋋%⋟11482152","layer":1},{"info":"⋋%⋟6587⪨⊡⋋%⋟5376=⋋%⋟0","layer":1},{"info":"⋋%⋟11482152↼⊘⨖⋋%⋟0=⋋%⋟-266","layer":0}]}
+{"id":817,"expression_no_base_symbol":"⊢≑≆($1566$∓⋝$1798$)","expression":"⊢≑≆(⋋%⋟2130∓⋝⋋%⋟2417)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":47,"operation_count":2,"complexity_ratio":23.5,"tree":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":1566,"base":9},"right_expr":{"type":"numeric_atoms","value":1798,"base":9}}},"used_operators":["27wFxooxGf","PoHhknlbAi"],"dependent_operators":["eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz"],"result":"⋋%⋟65","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1566","layer":2},{"info":"number node, value=1798","layer":2},{"info":"compute binary expreesion, left_input=1566, right_input=1798, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":1},{"info":"compute unary expreesion, input=67, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=59","layer":0}],"base":9,"result_base":9,"text":"⊢≑≆(⋋%⋟2130∓⋝⋋%⋟2417)=⋋%⋟65","reverse_text":"⋋%⋟65=⊢≑≆(⋋%⋟2130∓⋝⋋%⋟2417)","cot":[{"info":"⋋%⋟2130∓⋝⋋%⋟2417=⋋%⋟74","layer":1},{"info":"⊢≑≆⋋%⋟74=⋋%⋟65","layer":0}]}
+{"id":818,"expression_no_base_symbol":"$4918$⋥⋵⩄$2793$⊹∫⫚$1128$≦↸$1190$","expression":"⋋%⋟6664⋥⋵⩄⋋%⋟3743⊹∫⫚⋋%⋟1483≦↸⋋%⋟1562","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":93,"operation_count":3,"complexity_ratio":31.0,"tree":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":4918,"base":9},"right_expr":{"type":"numeric_atoms","value":2793,"base":9}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":1128,"base":9},"right_expr":{"type":"numeric_atoms","value":1190,"base":9}}},"used_operators":["uWAJUKEvyW","7t3wd0Fuz7","RygbFNSyEJ"],"dependent_operators":["BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj"],"result":"⋋%⋟-457","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=4918","layer":2},{"info":"number node, value=2793","layer":2},{"info":"compute binary expreesion, left_input=4918, right_input=2793, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":1},{"info":"number node, value=1128","layer":2},{"info":"number node, value=1190","layer":2},{"info":"compute binary expreesion, left_input=1128, right_input=1190, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-3955","layer":1},{"info":"compute binary expreesion, left_input=113, right_input=-3955, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-376","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟6664⋥⋵⩄⋋%⋟3743⊹∫⫚⋋%⋟1483≦↸⋋%⋟1562=⋋%⋟-457","reverse_text":"⋋%⋟-457=⋋%⋟6664⋥⋵⩄⋋%⋟3743⊹∫⫚⋋%⋟1483≦↸⋋%⋟1562","cot":[{"info":"⋋%⋟6664⋥⋵⩄⋋%⋟3743=⋋%⋟135","layer":1},{"info":"⋋%⋟1483≦↸⋋%⋟1562=⋋%⋟-5374","layer":1},{"info":"⋋%⋟135⊹∫⫚⋋%⋟-5374=⋋%⋟-457","layer":0}]}
+{"id":819,"expression_no_base_symbol":"($1621$∠↢$1275$)⩒⫫($3264$⊨$3392$)","expression":"(⋋%⋟2201∠↢⋋%⋟1666)⩒⫫(⋋%⋟4426⊨⋋%⋟4578)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":49,"operation_count":3,"complexity_ratio":16.333333333333332,"tree":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":1621,"base":9},"right_expr":{"type":"numeric_atoms","value":1275,"base":9}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":3264,"base":9},"right_expr":{"type":"numeric_atoms","value":3392,"base":9}}},"used_operators":["KFSx94NKJn","KbjG8mgYpV","vg4gO5BX6G"],"dependent_operators":["NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP"],"result":"⋋%⋟187","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1621","layer":2},{"info":"number node, value=1275","layer":2},{"info":"compute binary expreesion, left_input=1621, right_input=1275, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-23252","layer":1},{"info":"number node, value=3264","layer":2},{"info":"number node, value=3392","layer":2},{"info":"compute binary expreesion, left_input=3264, right_input=3392, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=14087","layer":1},{"info":"compute binary expreesion, left_input=-23252, right_input=14087, 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":9,"result_base":9,"text":"(⋋%⋟2201∠↢⋋%⋟1666)⩒⫫(⋋%⋟4426⊨⋋%⋟4578)=⋋%⋟187","reverse_text":"⋋%⋟187=(⋋%⋟2201∠↢⋋%⋟1666)⩒⫫(⋋%⋟4426⊨⋋%⋟4578)","cot":[{"info":"⋋%⋟2201∠↢⋋%⋟1666=⋋%⋟-34805","layer":1},{"info":"⋋%⋟4426⊨⋋%⋟4578=⋋%⋟21282","layer":1},{"info":"⋋%⋟-34805⩒⫫⋋%⋟21282=⋋%⋟187","layer":0}]}
+{"id":820,"expression_no_base_symbol":"($5429$↞⋁$2658$)≁↽≥($2967$∴$4032$)","expression":"(⋋%⋟7402↞⋁⋋%⋟3573)≁↽≥(⋋%⋟4056∴⋋%⋟5470)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":205,"operation_count":3,"complexity_ratio":68.33333333333333,"tree":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":5429,"base":9},"right_expr":{"type":"numeric_atoms","value":2658,"base":9}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":2967,"base":9},"right_expr":{"type":"numeric_atoms","value":4032,"base":9}}},"used_operators":["ncHt1X6cMc","RqrPlJkxDo","hrf7POJlIJ"],"dependent_operators":["oWn0xqSxBt","3Oe9XWJUTD","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=5429","layer":2},{"info":"number node, value=2658","layer":2},{"info":"compute binary expreesion, left_input=5429, right_input=2658, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":1},{"info":"number node, value=2967","layer":2},{"info":"number node, value=4032","layer":2},{"info":"compute binary expreesion, left_input=2967, right_input=4032, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=7582","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=7582, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟7402↞⋁⋋%⋟3573)≁↽≥(⋋%⋟4056∴⋋%⋟5470)=NaN","reverse_text":"NaN=(⋋%⋟7402↞⋁⋋%⋟3573)≁↽≥(⋋%⋟4056∴⋋%⋟5470)","cot":[{"info":"⋋%⋟7402↞⋁⋋%⋟3573=NaN","layer":1},{"info":"⋋%⋟4056∴⋋%⋟5470=⋋%⋟11354","layer":1},{"info":"NaN≁↽≥⋋%⋟11354=NaN","layer":0}]}
+{"id":821,"expression_no_base_symbol":"⋃($4848$⨌↪)","expression":"⋃(⋋%⋟6576⨌↪)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":16,"operation_count":2,"complexity_ratio":8.0,"tree":{"type":"unary","operator":"⋃","unary_expr":{"type":"unary","operator":"⨌↪","unary_expr":{"type":"numeric_atoms","value":4848,"base":9}}},"used_operators":["3mBM5G4a3l","cWQsF5MvuD"],"dependent_operators":["g55IO6H4Gj","8w2t5hMYqp","2DQ55sFlQl","i8ToyICDmI","QMFrweE19q"],"result":"⋋%⋟-1153","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=4848","layer":2},{"info":"compute unary expreesion, input=4848, op_id = cWQsF5MvuD, unary_op_definition = 'a⨌↪ = { (⊄⩳↩((a∲⫓a)⨵⪆(a⫡⨏a))) }', output=-480","layer":1},{"info":"compute unary expreesion, input=-480, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=-858","layer":0}],"base":9,"result_base":9,"text":"⋃(⋋%⋟6576⨌↪)=⋋%⋟-1153","reverse_text":"⋋%⋟-1153=⋃(⋋%⋟6576⨌↪)","cot":[{"info":"⋋%⋟6576⨌↪=⋋%⋟-583","layer":1},{"info":"⋃⋋%⋟-583=⋋%⋟-1153","layer":0}]}
+{"id":822,"expression_no_base_symbol":"$8069$⫚↹⊑$3011$+(⊑$5106$)","expression":"⋋%⋟12055⫚↹⊑⋋%⋟4115+(⊑⋋%⋟7003)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":425,"operation_count":3,"complexity_ratio":141.66666666666666,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":8069,"base":9},"right_expr":{"type":"numeric_atoms","value":3011,"base":9}},"right_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"numeric_atoms","value":5106,"base":9}}},"used_operators":["W4YGzv6Whe","dfKe02y8D2","IkUmn0D7oy"],"dependent_operators":["2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl"],"result":"⋋%⋟-313","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=8069","layer":2},{"info":"number node, value=3011","layer":2},{"info":"compute binary expreesion, left_input=8069, right_input=3011, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":1},{"info":"number node, value=5106","layer":2},{"info":"compute unary expreesion, input=5106, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":1},{"info":"compute binary expreesion, left_input=-447, right_input=192, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-255","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟12055⫚↹⊑⋋%⋟4115+(⊑⋋%⋟7003)=⋋%⋟-313","reverse_text":"⋋%⋟-313=⋋%⋟12055⫚↹⊑⋋%⋟4115+(⊑⋋%⋟7003)","cot":[{"info":"⋋%⋟12055⫚↹⊑⋋%⋟4115=⋋%⋟-546","layer":1},{"info":"⊑⋋%⋟7003=⋋%⋟233","layer":1},{"info":"⋋%⋟-546+⋋%⋟233=⋋%⋟-313","layer":0}]}
+{"id":823,"expression_no_base_symbol":"≅≯⇸$2623$⪛$2320$","expression":"≅≯⇸⋋%⋟3534⪛⋋%⋟3157","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":18,"operation_count":2,"complexity_ratio":9.0,"tree":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2623,"base":9},"right_expr":{"type":"numeric_atoms","value":2320,"base":9}}},"used_operators":["apS25hmuAe","uFcxV4UQCh"],"dependent_operators":["EBcxylXtPf","QMFrweE19q","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"⋋%⋟13166","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2623","layer":2},{"info":"number node, value=2320","layer":2},{"info":"compute binary expreesion, left_input=2623, right_input=2320, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=303","layer":1},{"info":"compute unary expreesion, input=303, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=8889","layer":0}],"base":9,"result_base":9,"text":"≅≯⇸⋋%⋟3534⪛⋋%⋟3157=⋋%⋟13166","reverse_text":"⋋%⋟13166=≅≯⇸⋋%⋟3534⪛⋋%⋟3157","cot":[{"info":"⋋%⋟3534⪛⋋%⋟3157=⋋%⋟366","layer":1},{"info":"≅≯⇸⋋%⋟366=⋋%⋟13166","layer":0}]}
+{"id":824,"expression_no_base_symbol":"⩒∊($1550$⪎⩰)","expression":"⩒∊(⋋%⋟2112⪎⩰)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":14,"operation_count":2,"complexity_ratio":7.0,"tree":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"unary","operator":"⪎⩰","unary_expr":{"type":"numeric_atoms","value":1550,"base":9}}},"used_operators":["qazvmhNBbN","2ufhKmSs5H"],"dependent_operators":["AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","DpFCA1CohY","N41Kp7NANJ","sdazOOVcIp","EBcxylXtPf","f6k1SAg4EE","COABgblf1C"],"result":"⋋%⋟-1787","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1550","layer":2},{"info":"compute unary expreesion, input=1550, op_id = 2ufhKmSs5H, unary_op_definition = 'a⪎⩰ = { (17≋⫹) , if a>=326 and a!=597 ; (((a⪒a)⫌⩹⨱)⊭↱(⋗⩬⋾(756⪨≂a))) , else }', output=-34","layer":1},{"info":"compute unary expreesion, input=-34, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=-1375","layer":0}],"base":9,"result_base":9,"text":"⩒∊(⋋%⋟2112⪎⩰)=⋋%⋟-1787","reverse_text":"⋋%⋟-1787=⩒∊(⋋%⋟2112⪎⩰)","cot":[{"info":"⋋%⋟2112⪎⩰=⋋%⋟-37","layer":1},{"info":"⩒∊⋋%⋟-37=⋋%⋟-1787","layer":0}]}
+{"id":825,"expression_no_base_symbol":"(⨵$1578$)⪨⊡$3220$↞⋁$5943$","expression":"(⨵⋋%⋟2143)⪨⊡⋋%⋟4367↞⋁⋋%⋟8133","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":240,"operation_count":3,"complexity_ratio":80.0,"tree":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"numeric_atoms","value":1578,"base":9}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":3220,"base":9},"right_expr":{"type":"numeric_atoms","value":5943,"base":9}}},"used_operators":["kuIXHzHcAH","Tl3Y52tvF8","RqrPlJkxDo"],"dependent_operators":["JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","Uaa54Peajs","CArV6hThFE","13rbtpv6ld"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1578","layer":2},{"info":"compute unary expreesion, input=1578, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=-13833","layer":1},{"info":"number node, value=3220","layer":2},{"info":"number node, value=5943","layer":2},{"info":"compute binary expreesion, left_input=3220, right_input=5943, 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=-13833, right_input=nan, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(⨵⋋%⋟2143)⪨⊡⋋%⋟4367↞⋁⋋%⋟8133=NaN","reverse_text":"NaN=(⨵⋋%⋟2143)⪨⊡⋋%⋟4367↞⋁⋋%⋟8133","cot":[{"info":"⨵⋋%⋟2143=⋋%⋟-20870","layer":1},{"info":"⋋%⋟4367↞⋁⋋%⋟8133=NaN","layer":1},{"info":"⋋%⋟-20870⪨⊡NaN=NaN","layer":0}]}
+{"id":826,"expression_no_base_symbol":"⪛⨧($6494$⫦⪉$3748$)","expression":"⪛⨧(⋋%⋟8815⫦⪉⋋%⋟5124)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":30,"operation_count":2,"complexity_ratio":15.0,"tree":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":6494,"base":9},"right_expr":{"type":"numeric_atoms","value":3748,"base":9}}},"used_operators":["6NJAcO2OWT","wscyQdcy20"],"dependent_operators":["JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf"],"result":"⋋%⋟-22236","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=6494","layer":2},{"info":"number node, value=3748","layer":2},{"info":"compute binary expreesion, left_input=6494, right_input=3748, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-8088","layer":1},{"info":"compute unary expreesion, input=-8088, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=-14775","layer":0}],"base":9,"result_base":9,"text":"⪛⨧(⋋%⋟8815⫦⪉⋋%⋟5124)=⋋%⋟-22236","reverse_text":"⋋%⋟-22236=⪛⨧(⋋%⋟8815⫦⪉⋋%⋟5124)","cot":[{"info":"⋋%⋟8815⫦⪉⋋%⋟5124=⋋%⋟-12076","layer":1},{"info":"⪛⨧⋋%⋟-12076=⋋%⋟-22236","layer":0}]}
+{"id":827,"expression_no_base_symbol":"(⋣$4023$)⨫⇇↔(⩦⩻⨪$7225$)","expression":"(⋣⋋%⋟5460)⨫⇇↔(⩦⩻⨪⋋%⋟10817)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":186,"operation_count":3,"complexity_ratio":62.0,"tree":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"numeric_atoms","value":4023,"base":9}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":7225,"base":9}}},"used_operators":["LXhwmt4mBO","zQWRhDnn8F","2td37pGCOC"],"dependent_operators":["d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","rysDP5nf3Z","t8gj7n24qd"],"result":"⋋%⋟-645","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=4023","layer":2},{"info":"compute unary expreesion, input=4023, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-1182667","layer":1},{"info":"number node, value=7225","layer":2},{"info":"compute unary expreesion, input=7225, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=7225","layer":1},{"info":"compute binary expreesion, left_input=-1182667, right_input=7225, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":0}],"base":9,"result_base":9,"text":"(⋣⋋%⋟5460)⨫⇇↔(⩦⩻⨪⋋%⋟10817)=⋋%⋟-645","reverse_text":"⋋%⋟-645=(⋣⋋%⋟5460)⨫⇇↔(⩦⩻⨪⋋%⋟10817)","cot":[{"info":"⋣⋋%⋟5460=⋋%⋟-2202274","layer":1},{"info":"⩦⩻⨪⋋%⋟10817=⋋%⋟10817","layer":1},{"info":"⋋%⋟-2202274⨫⇇↔⋋%⋟10817=⋋%⋟-645","layer":0}]}
+{"id":828,"expression_no_base_symbol":"($5907$≧⫂∧$6442$)↢($1904$∛$1970$)","expression":"(⋋%⋟8083≧⫂∧⋋%⋟8747)↢(⋋%⋟2545∛⋋%⋟2628)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":109,"operation_count":3,"complexity_ratio":36.333333333333336,"tree":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":5907,"base":9},"right_expr":{"type":"numeric_atoms","value":6442,"base":9}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":1904,"base":9},"right_expr":{"type":"numeric_atoms","value":1970,"base":9}}},"used_operators":["WR6HLWljOP","Ph9nP6C5qx","w2537kitQq"],"dependent_operators":["eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc"],"result":"⋋%⋟7464","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=5907","layer":2},{"info":"number node, value=6442","layer":2},{"info":"compute binary expreesion, left_input=5907, right_input=6442, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=5969","layer":1},{"info":"number node, value=1904","layer":2},{"info":"number node, value=1970","layer":2},{"info":"compute binary expreesion, left_input=1904, right_input=1970, op_id = w2537kitQq binary_op_definition= 'a∛b = { ((b⨑≵⋬38)⇂≾⫗(b∲⫓a)) , if (b⨚996)>=244 and b>=3 ; ((+⊝⨔b)⊵↤) , else }', output=-670","layer":1},{"info":"compute binary expreesion, left_input=5969, right_input=-670, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=5485","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟8083≧⫂∧⋋%⋟8747)↢(⋋%⋟2545∛⋋%⋟2628)=⋋%⋟7464","reverse_text":"⋋%⋟7464=(⋋%⋟8083≧⫂∧⋋%⋟8747)↢(⋋%⋟2545∛⋋%⋟2628)","cot":[{"info":"⋋%⋟8083≧⫂∧⋋%⋟8747=⋋%⋟8162","layer":1},{"info":"⋋%⋟2545∛⋋%⋟2628=⋋%⋟-824","layer":1},{"info":"⋋%⋟8162↢⋋%⋟-824=⋋%⋟7464","layer":0}]}
+{"id":829,"expression_no_base_symbol":"($2894$-$1009$)⇷($1000$⪔$3040$)","expression":"(⋋%⋟3865-⋋%⋟1341)⇷(⋋%⋟1331⪔⋋%⋟4147)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":29533,"operation_count":3,"complexity_ratio":9844.333333333334,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2894,"base":9},"right_expr":{"type":"numeric_atoms","value":1009,"base":9}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":1000,"base":9},"right_expr":{"type":"numeric_atoms","value":3040,"base":9}}},"used_operators":["mp7IySMOzn","rysDP5nf3Z","GjBEYRfMaF"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi"],"result":"⋋%⋟1210","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=2894","layer":2},{"info":"number node, value=1009","layer":2},{"info":"compute binary expreesion, left_input=2894, right_input=1009, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1885","layer":1},{"info":"number node, value=1000","layer":2},{"info":"number node, value=3040","layer":2},{"info":"compute binary expreesion, left_input=1000, right_input=3040, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":1},{"info":"compute binary expreesion, left_input=1885, right_input=450, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=900","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟3865-⋋%⋟1341)⇷(⋋%⋟1331⪔⋋%⋟4147)=⋋%⋟1210","reverse_text":"⋋%⋟1210=(⋋%⋟3865-⋋%⋟1341)⇷(⋋%⋟1331⪔⋋%⋟4147)","cot":[{"info":"⋋%⋟3865-⋋%⋟1341=⋋%⋟2524","layer":1},{"info":"⋋%⋟1331⪔⋋%⋟4147=⋋%⋟550","layer":1},{"info":"⋋%⋟2524⇷⋋%⋟550=⋋%⋟1210","layer":0}]}
+{"id":830,"expression_no_base_symbol":"($3905$⇤$8286$)≁↽≥($1429$⪪$2082$)","expression":"(⋋%⋟5318⇤⋋%⋟12326)≁↽≥(⋋%⋟1857⪪⋋%⋟2763)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":216340,"operation_count":3,"complexity_ratio":72113.33333333333,"tree":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":3905,"base":9},"right_expr":{"type":"numeric_atoms","value":8286,"base":9}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":1429,"base":9},"right_expr":{"type":"numeric_atoms","value":2082,"base":9}}},"used_operators":["ncHt1X6cMc","YSKBFp38Pu","xD69zh8xqp"],"dependent_operators":["oWn0xqSxBt","3Oe9XWJUTD","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","FU0Cs4j7VP","JclMnS0uGI"],"result":"⋋%⋟237","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3905","layer":2},{"info":"number node, value=8286","layer":2},{"info":"compute binary expreesion, left_input=3905, right_input=8286, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵��(336⋝⋈⪟a))) }', output=-58107","layer":1},{"info":"number node, value=1429","layer":2},{"info":"number node, value=2082","layer":2},{"info":"compute binary expreesion, left_input=1429, right_input=2082, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-211868","layer":1},{"info":"compute binary expreesion, left_input=-58107, right_input=-211868, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=196","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟5318⇤⋋%⋟12326)≁↽≥(⋋%⋟1857⪪⋋%⋟2763)=⋋%⋟237","reverse_text":"⋋%⋟237=(⋋%⋟5318⇤⋋%⋟12326)≁↽≥(⋋%⋟1857⪪⋋%⋟2763)","cot":[{"info":"⋋%⋟5318⇤⋋%⋟12326=⋋%⋟-87633","layer":1},{"info":"⋋%⋟1857⪪⋋%⋟2763=⋋%⋟-352558","layer":1},{"info":"⋋%⋟-87633≁↽≥⋋%⋟-352558=⋋%⋟237","layer":0}]}
+{"id":831,"expression_no_base_symbol":"($4069$⪎⩰)∠⫱($1597$⋭≵$1462$)","expression":"(⋋%⋟5521⪎⩰)∠⫱(⋋%⋟2164⋭≵⋋%⋟2004)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":62,"operation_count":3,"complexity_ratio":20.666666666666668,"tree":{"type":"binary","operator":"∠⫱","left_expr":{"type":"unary","operator":"⪎⩰","unary_expr":{"type":"numeric_atoms","value":4069,"base":9}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":1597,"base":9},"right_expr":{"type":"numeric_atoms","value":1462,"base":9}}},"used_operators":["QvoQhV0rrE","2ufhKmSs5H","jBncVCNhdl"],"dependent_operators":["eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","DpFCA1CohY","N41Kp7NANJ","sdazOOVcIp","EBcxylXtPf","f6k1SAg4EE","COABgblf1C","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C"],"result":"⋋%⋟-122","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=4069","layer":2},{"info":"compute unary expreesion, input=4069, op_id = 2ufhKmSs5H, unary_op_definition = 'a⪎⩰ = { (17≋⫹) , if a>=326 and a!=597 ; (((a⪒a)⫌⩹⨱)⊭↱(⋗⩬⋾(756⪨≂a))) , else }', output=-34","layer":1},{"info":"number node, value=1597","layer":2},{"info":"number node, value=1462","layer":2},{"info":"compute binary expreesion, left_input=1597, right_input=1462, 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=-34, right_input=67, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=-101","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟5521⪎⩰)∠⫱(⋋%⋟2164⋭≵⋋%⋟2004)=⋋%⋟-122","reverse_text":"⋋%⋟-122=(⋋%⋟5521⪎⩰)∠⫱(⋋%⋟2164⋭≵⋋%⋟2004)","cot":[{"info":"⋋%⋟5521⪎⩰=⋋%⋟-37","layer":1},{"info":"⋋%⋟2164⋭≵⋋%⋟2004=⋋%⋟74","layer":1},{"info":"⋋%⋟-37∠⫱⋋%⋟74=⋋%⋟-122","layer":0}]}
+{"id":832,"expression_no_base_symbol":"∟⋨$7436$⩖⊿$2093$","expression":"∟⋨⋋%⋟11172⩖⊿⋋%⋟2775","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":13112,"operation_count":2,"complexity_ratio":6556.0,"tree":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":7436,"base":9},"right_expr":{"type":"numeric_atoms","value":2093,"base":9}}},"used_operators":["ctOc4cKSDt","RZ5CV9rWsJ"],"dependent_operators":["eLAdDNolq6","tmPS8pqC7x","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA"],"result":"⋋%⋟20543","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=7436","layer":2},{"info":"number node, value=2093","layer":2},{"info":"compute binary expreesion, left_input=7436, right_input=2093, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-13082","layer":1},{"info":"compute unary expreesion, input=-13082, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=13566","layer":0}],"base":9,"result_base":9,"text":"∟⋨⋋%⋟11172⩖⊿⋋%⋟2775=⋋%⋟20543","reverse_text":"⋋%⋟20543=∟⋨⋋%⋟11172⩖⊿⋋%⋟2775","cot":[{"info":"⋋%⋟11172⩖⊿⋋%⋟2775=⋋%⋟-18845","layer":1},{"info":"∟⋨⋋%⋟-18845=⋋%⋟20543","layer":0}]}
+{"id":833,"expression_no_base_symbol":"⊥($7529$⇼⇔∾$6961$)","expression":"⊥(⋋%⋟11285⇼⇔∾⋋%⋟10484)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":326034,"operation_count":2,"complexity_ratio":163017.0,"tree":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":7529,"base":9},"right_expr":{"type":"numeric_atoms","value":6961,"base":9}}},"used_operators":["Q3PJZHRvZv","tifHPKVTfV"],"dependent_operators":["fu6greOZ01","rysDP5nf3Z","t8gj7n24qd"],"result":"⋋%⋟-687","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=7529","layer":2},{"info":"number node, value=6961","layer":2},{"info":"compute binary expreesion, left_input=7529, right_input=6961, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-568","layer":1},{"info":"compute unary expreesion, input=-568, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=-565","layer":0}],"base":9,"result_base":9,"text":"⊥(⋋%⋟11285⇼⇔∾⋋%⋟10484)=⋋%⋟-687","reverse_text":"⋋%⋟-687=⊥(⋋%⋟11285⇼⇔∾⋋%⋟10484)","cot":[{"info":"⋋%⋟11285⇼⇔∾⋋%⋟10484=⋋%⋟-701","layer":1},{"info":"⊥⋋%⋟-701=⋋%⋟-687","layer":0}]}
+{"id":834,"expression_no_base_symbol":"(≑⋹$1172$)⪒⊣⊆($1363$⊲⩕⊾$2974$)","expression":"(≑⋹⋋%⋟1542)⪒⊣⊆(⋋%⋟1774⊲⩕⊾⋋%⋟4064)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":132,"operation_count":3,"complexity_ratio":44.0,"tree":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"numeric_atoms","value":1172,"base":9}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":1363,"base":9},"right_expr":{"type":"numeric_atoms","value":2974,"base":9}}},"used_operators":["eRqsBgTDFp","6B9nyZLogK","DmTXOeWf9t"],"dependent_operators":["sdazOOVcIp","W4YGzv6Whe","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C"],"result":"⋋%⋟4466","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1172","layer":2},{"info":"compute unary expreesion, input=1172, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=1650","layer":1},{"info":"number node, value=1363","layer":2},{"info":"number node, value=2974","layer":2},{"info":"compute binary expreesion, left_input=1363, right_input=2974, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-48178","layer":1},{"info":"compute binary expreesion, left_input=1650, right_input=-48178, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=3300","layer":0}],"base":9,"result_base":9,"text":"(≑⋹⋋%⋟1542)⪒⊣⊆(⋋%⋟1774⊲⩕⊾⋋%⋟4064)=⋋%⋟4466","reverse_text":"⋋%⋟4466=(≑⋹⋋%⋟1542)⪒⊣⊆(⋋%⋟1774⊲⩕⊾⋋%⋟4064)","cot":[{"info":"≑⋹⋋%⋟1542=⋋%⋟2233","layer":1},{"info":"⋋%⋟1774⊲⩕⊾⋋%⋟4064=⋋%⋟-73071","layer":1},{"info":"⋋%⋟2233⪒⊣⊆⋋%⋟-73071=⋋%⋟4466","layer":0}]}
+{"id":835,"expression_no_base_symbol":"($2302$≀⩗∶$2763$)≳⇉($2543$≥⨤⩑$1142$)","expression":"(⋋%⋟3137≀⩗∶⋋%⋟3710)≳⇉(⋋%⋟3435≥⨤⩑⋋%⋟1508)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":22536341,"operation_count":3,"complexity_ratio":7512113.666666667,"tree":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":2302,"base":9},"right_expr":{"type":"numeric_atoms","value":2763,"base":9}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":2543,"base":9},"right_expr":{"type":"numeric_atoms","value":1142,"base":9}}},"used_operators":["V0kx6qeWkN","8INZBEW696","gJLn6v0xnP"],"dependent_operators":["KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=2302","layer":2},{"info":"number node, value=2763","layer":2},{"info":"compute binary expreesion, left_input=2302, right_input=2763, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=-3","layer":1},{"info":"number node, value=2543","layer":2},{"info":"number node, value=1142","layer":2},{"info":"compute binary expreesion, left_input=2543, right_input=1142, 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=-3, right_input=1234, 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":9,"result_base":9,"text":"(⋋%⋟3137≀⩗∶⋋%⋟3710)≳⇉(⋋%⋟3435≥⨤⩑⋋%⋟1508)=NaN","reverse_text":"NaN=(⋋%⋟3137≀⩗∶⋋%⋟3710)≳⇉(⋋%⋟3435≥⨤⩑⋋%⋟1508)","cot":[{"info":"⋋%⋟3137≀⩗∶⋋%⋟3710=⋋%⋟-3","layer":1},{"info":"⋋%⋟3435≥⨤⩑⋋%⋟1508=⋋%⋟1621","layer":1},{"info":"⋋%⋟-3≳⇉⋋%⋟1621=NaN","layer":0}]}
+{"id":836,"expression_no_base_symbol":"$1246$≁↽≥$7527$⫁($3590$⩘)","expression":"⋋%⋟1634≁↽≥⋋%⋟11283⫁(⋋%⋟4828⩘)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":159,"operation_count":3,"complexity_ratio":53.0,"tree":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":1246,"base":9},"right_expr":{"type":"numeric_atoms","value":7527,"base":9}},"right_expr":{"type":"unary","operator":"⩘","unary_expr":{"type":"numeric_atoms","value":3590,"base":9}}},"used_operators":["0ajvFaJAv0","ncHt1X6cMc","wvHyciQT5X"],"dependent_operators":["cHh1gJQ2o6","AHs5Up7iyr","oWn0xqSxBt","3Oe9XWJUTD","9ICcGScMcE","dfKe02y8D2"],"result":"⋋%⋟187","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1246","layer":2},{"info":"number node, value=7527","layer":2},{"info":"compute binary expreesion, left_input=1246, right_input=7527, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=28622","layer":1},{"info":"number node, value=3590","layer":2},{"info":"compute unary expreesion, input=3590, op_id = wvHyciQT5X, unary_op_definition = 'a⩘ = { (≦∁(a⫚↹⊑129)) }', output=67","layer":1},{"info":"compute binary expreesion, left_input=28622, right_input=67, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟1634≁↽≥⋋%⋟11283⫁(⋋%⋟4828⩘)=⋋%⋟187","reverse_text":"⋋%⋟187=⋋%⋟1634≁↽≥⋋%⋟11283⫁(⋋%⋟4828⩘)","cot":[{"info":"⋋%⋟1634≁↽≥⋋%⋟11283=⋋%⋟43232","layer":1},{"info":"⋋%⋟4828⩘=⋋%⋟74","layer":1},{"info":"⋋%⋟43232⫁⋋%⋟74=⋋%⋟187","layer":0}]}
+{"id":837,"expression_no_base_symbol":"$4594$≴⪞⇿$1461$⋛$5095$↳≱$4546$","expression":"⋋%⋟6264≴⪞⇿⋋%⋟2003⋛⋋%⋟6881↳≱⋋%⋟6211","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4705,"operation_count":3,"complexity_ratio":1568.3333333333333,"tree":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":4594,"base":9},"right_expr":{"type":"numeric_atoms","value":1461,"base":9}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":5095,"base":9},"right_expr":{"type":"numeric_atoms","value":4546,"base":9}}},"used_operators":["YbUVn0Rbpy","lvlrscuwVU","JwTKLfZU96"],"dependent_operators":["d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96"],"result":"⋋%⋟772127820","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=4594","layer":2},{"info":"number node, value=1461","layer":2},{"info":"compute binary expreesion, left_input=4594, right_input=1461, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=37342316","layer":1},{"info":"number node, value=5095","layer":2},{"info":"number node, value=4546","layer":2},{"info":"compute binary expreesion, left_input=5095, right_input=4546, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=37342316, 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=335948652","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟6264≴⪞⇿⋋%⋟2003⋛⋋%⋟6881↳≱⋋%⋟6211=⋋%⋟772127820","reverse_text":"⋋%⋟772127820=⋋%⋟6264≴⪞⇿⋋%⋟2003⋛⋋%⋟6881↳≱⋋%⋟6211","cot":[{"info":"⋋%⋟6264≴⪞⇿⋋%⋟2003=⋋%⋟77235022","layer":1},{"info":"⋋%⋟6881↳≱⋋%⋟6211=⋋%⋟0","layer":1},{"info":"⋋%⋟77235022⋛⋋%⋟0=⋋%⋟772127820","layer":0}]}
+{"id":838,"expression_no_base_symbol":"$3209$⪝$4318$⨜⨶($1514$⫲≸⪮$1529$)","expression":"⋋%⋟4355⪝⋋%⋟5827⨜⨶(⋋%⋟2062⫲≸⪮⋋%⋟2078)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1955,"operation_count":3,"complexity_ratio":651.6666666666666,"tree":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":3209,"base":9},"right_expr":{"type":"numeric_atoms","value":4318,"base":9}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":1514,"base":9},"right_expr":{"type":"numeric_atoms","value":1529,"base":9}}},"used_operators":["HiPekx5b7W","wicAB68Tmb","P3lXMJvFrc"],"dependent_operators":["N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I"],"result":"⋋%⋟-3720","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3209","layer":2},{"info":"number node, value=4318","layer":2},{"info":"compute binary expreesion, left_input=3209, right_input=4318, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":1},{"info":"number node, value=1514","layer":2},{"info":"number node, value=1529","layer":2},{"info":"compute binary expreesion, left_input=1514, right_input=1529, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=1514","layer":1},{"info":"compute binary expreesion, left_input=237, right_input=1514, 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=-2772","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟4355⪝⋋%⋟5827⨜⨶(⋋%⋟2062⫲≸⪮⋋%⋟2078)=⋋%⋟-3720","reverse_text":"⋋%⋟-3720=⋋%⋟4355⪝⋋%⋟5827⨜⨶(⋋%⋟2062⫲≸⪮⋋%⋟2078)","cot":[{"info":"⋋%⋟4355⪝⋋%⋟5827=⋋%⋟283","layer":1},{"info":"⋋%⋟2062⫲≸⪮⋋%⋟2078=⋋%⋟2062","layer":1},{"info":"⋋%⋟283⨜⨶⋋%⋟2062=⋋%⋟-3720","layer":0}]}
+{"id":839,"expression_no_base_symbol":"($1790$⨟⋌⩍$1152$)⪝($1521$∽$2201$)","expression":"(⋋%⋟2408⨟⋌⩍⋋%⋟1520)⪝(⋋%⋟2070∽⋋%⋟3015)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":425,"operation_count":3,"complexity_ratio":141.66666666666666,"tree":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1790,"base":9},"right_expr":{"type":"numeric_atoms","value":1152,"base":9}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":1521,"base":9},"right_expr":{"type":"numeric_atoms","value":2201,"base":9}}},"used_operators":["wicAB68Tmb","rGHVDoGpnC","y4ImoPnbV5"],"dependent_operators":["L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","Tcnh7f0tEr","NTOWxs364D","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1790","layer":2},{"info":"number node, value=1152","layer":2},{"info":"compute binary expreesion, left_input=1790, right_input=1152, 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=1521","layer":2},{"info":"number node, value=2201","layer":2},{"info":"compute binary expreesion, left_input=1521, right_input=2201, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-14030","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-14030, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟2408⨟⋌⩍⋋%⋟1520)⪝(⋋%⋟2070∽⋋%⋟3015)=NaN","reverse_text":"NaN=(⋋%⋟2408⨟⋌⩍⋋%⋟1520)⪝(⋋%⋟2070∽⋋%⋟3015)","cot":[{"info":"⋋%⋟2408⨟⋌⩍⋋%⋟1520=NaN","layer":1},{"info":"⋋%⋟2070∽⋋%⋟3015=⋋%⋟-21218","layer":1},{"info":"NaN⪝⋋%⋟-21218=NaN","layer":0}]}
+{"id":840,"expression_no_base_symbol":"$5739$⪥$4061$≨($3861$⋝⋈⪟$3052$)","expression":"⋋%⋟7776⪥⋋%⋟5512≨(⋋%⋟5260⋝⋈⪟⋋%⋟4161)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":96,"operation_count":3,"complexity_ratio":32.0,"tree":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":5739,"base":9},"right_expr":{"type":"numeric_atoms","value":4061,"base":9}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3861,"base":9},"right_expr":{"type":"numeric_atoms","value":3052,"base":9}}},"used_operators":["0KMCeP1Jsh","QbnwKVWMIQ","2DDjHMKMc0"],"dependent_operators":["jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","W4YGzv6Whe","t8gj7n24qd"],"result":"⋋%⋟-456274","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=5739","layer":2},{"info":"number node, value=4061","layer":2},{"info":"compute binary expreesion, left_input=5739, right_input=4061, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=27608","layer":1},{"info":"number node, value=3861","layer":2},{"info":"number node, value=3052","layer":2},{"info":"compute binary expreesion, left_input=3861, right_input=3052, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3861","layer":1},{"info":"compute binary expreesion, left_input=27608, right_input=3861, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-273604","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟7776⪥⋋%⋟5512≨(⋋%⋟5260⋝⋈⪟⋋%⋟4161)=⋋%⋟-456274","reverse_text":"⋋%⋟-456274=⋋%⋟7776⪥⋋%⋟5512≨(⋋%⋟5260⋝⋈⪟⋋%⋟4161)","cot":[{"info":"⋋%⋟7776⪥⋋%⋟5512=⋋%⋟41775","layer":1},{"info":"⋋%⋟5260⋝⋈⪟⋋%⋟4161=⋋%⋟5260","layer":1},{"info":"⋋%⋟41775≨⋋%⋟5260=⋋%⋟-456274","layer":0}]}
+{"id":841,"expression_no_base_symbol":"$1436$⇍⊗$2737$⫦⪉$2288$⋭≵$1308$","expression":"⋋%⋟1865⇍⊗⋋%⋟3671⫦⪉⋋%⋟3122⋭≵⋋%⋟1713","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":121,"operation_count":3,"complexity_ratio":40.333333333333336,"tree":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":1436,"base":9},"right_expr":{"type":"numeric_atoms","value":2737,"base":9}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":2288,"base":9},"right_expr":{"type":"numeric_atoms","value":1308,"base":9}}},"used_operators":["wscyQdcy20","5uvYHDjeKN","jBncVCNhdl"],"dependent_operators":["W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C"],"result":"⋋%⋟5836","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1436","layer":2},{"info":"number node, value=2737","layer":2},{"info":"compute binary expreesion, left_input=1436, right_input=2737, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":1},{"info":"number node, value=2288","layer":2},{"info":"number node, value=1308","layer":2},{"info":"compute binary expreesion, left_input=2288, right_input=1308, 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=-244, right_input=67, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=4326","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟1865⇍⊗⋋%⋟3671⫦⪉⋋%⋟3122⋭≵⋋%⋟1713=⋋%⋟5836","reverse_text":"⋋%⋟5836=⋋%⋟1865⇍⊗⋋%⋟3671⫦⪉⋋%⋟3122⋭≵⋋%⋟1713","cot":[{"info":"⋋%⋟1865⇍⊗⋋%⋟3671=⋋%⋟-301","layer":1},{"info":"⋋%⋟3122⋭≵⋋%⋟1713=⋋%⋟74","layer":1},{"info":"⋋%⋟-301⫦⪉⋋%⋟74=⋋%⋟5836","layer":0}]}
+{"id":842,"expression_no_base_symbol":"(∓⪦$1023$)⨿($4641$∠⫱$1073$)","expression":"(∓⪦⋋%⋟1356)⨿(⋋%⋟6326∠⫱⋋%⋟1422)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":258,"operation_count":3,"complexity_ratio":86.0,"tree":{"type":"binary","operator":"⨿","left_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"numeric_atoms","value":1023,"base":9}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":4641,"base":9},"right_expr":{"type":"numeric_atoms","value":1073,"base":9}}},"used_operators":["abYXlopdE0","D309nIvmXG","QvoQhV0rrE"],"dependent_operators":["gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP"],"result":"⋋%⋟-384","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1023","layer":2},{"info":"compute unary expreesion, input=1023, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=615","layer":1},{"info":"number node, value=4641","layer":2},{"info":"number node, value=1073","layer":2},{"info":"compute binary expreesion, left_input=4641, right_input=1073, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":1},{"info":"compute binary expreesion, left_input=615, right_input=1234, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":0}],"base":9,"result_base":9,"text":"(��⪦⋋%⋟1356)⨿(⋋%⋟6326∠⫱⋋%⋟1422)=⋋%⋟-384","reverse_text":"⋋%⋟-384=(∓⪦⋋%⋟1356)⨿(⋋%⋟6326∠⫱⋋%⋟1422)","cot":[{"info":"∓⪦⋋%⋟1356=⋋%⋟753","layer":1},{"info":"⋋%⋟6326∠⫱⋋%⋟1422=⋋%⋟1621","layer":1},{"info":"⋋%⋟753⨿⋋%⋟1621=⋋%⋟-384","layer":0}]}
+{"id":843,"expression_no_base_symbol":"(⋗⩴⪓$1126$)⪨⊡$5593$⇣⩺⋵$1662$","expression":"(⋗⩴⪓⋋%⋟1481)⪨⊡⋋%⋟7604⇣⩺⋵⋋%⋟2246","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1243,"operation_count":3,"complexity_ratio":414.3333333333333,"tree":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"numeric_atoms","value":1126,"base":9}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":5593,"base":9},"right_expr":{"type":"numeric_atoms","value":1662,"base":9}}},"used_operators":["kuIXHzHcAH","nOKPl9n5zu","F4yD0voBRQ"],"dependent_operators":["JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx"],"result":"⋋%⋟2452","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1126","layer":2},{"info":"compute unary expreesion, input=1126, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=-213","layer":1},{"info":"number node, value=5593","layer":2},{"info":"number node, value=1662","layer":2},{"info":"compute binary expreesion, left_input=5593, right_input=1662, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":1},{"info":"compute binary expreesion, left_input=-213, right_input=-260, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=1829","layer":0}],"base":9,"result_base":9,"text":"(⋗⩴⪓⋋%⋟1481)⪨⊡⋋%⋟7604⇣⩺⋵⋋%⋟2246=⋋%⋟2452","reverse_text":"⋋%⋟2452=(⋗⩴⪓⋋%⋟1481)⪨⊡⋋%⋟7604⇣⩺⋵⋋%⋟2246","cot":[{"info":"⋗⩴⪓⋋%⋟1481=⋋%⋟-256","layer":1},{"info":"⋋%⋟7604⇣⩺⋵⋋%⋟2246=⋋%⋟-318","layer":1},{"info":"⋋%⋟-256⪨⊡⋋%⋟-318=⋋%⋟2452","layer":0}]}
+{"id":844,"expression_no_base_symbol":"⫓⪴($4656$∀⋜↑)","expression":"⫓⪴(⋋%⋟6343∀⋜↑)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":491,"operation_count":2,"complexity_ratio":245.5,"tree":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"unary","operator":"∀⋜↑","unary_expr":{"type":"numeric_atoms","value":4656,"base":9}}},"used_operators":["eLxqMNBOBk","KipPnG1M2J"],"dependent_operators":["9HNa5Wba9A","eLAdDNolq6","23Mk6UjR3U","f6k1SAg4EE"],"result":"⋋%⋟386304","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=4656","layer":2},{"info":"compute unary expreesion, input=4656, op_id = KipPnG1M2J, unary_op_definition = 'a∀⋜↑ = { ((≤/a)⪒(a⋷a)) }', output=-484","layer":1},{"info":"compute unary expreesion, input=-484, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=234256","layer":0}],"base":9,"result_base":9,"text":"⫓⪴(⋋%⋟6343∀⋜↑)=⋋%⋟386304","reverse_text":"⋋%⋟386304=⫓⪴(⋋%⋟6343∀⋜↑)","cot":[{"info":"⋋%⋟6343∀⋜↑=⋋%⋟-587","layer":1},{"info":"⫓⪴⋋%⋟-587=⋋%⋟386304","layer":0}]}
+{"id":845,"expression_no_base_symbol":"⇖⫷⫕(⩰$1138$)","expression":"⇖⫷⫕(⩰⋋%⋟1504)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":740,"operation_count":2,"complexity_ratio":370.0,"tree":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"numeric_atoms","value":1138,"base":9}}},"used_operators":["UHmRx3INFg","WkeUrDK8WX"],"dependent_operators":["DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI"],"result":"⋋%⋟3775","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1138","layer":2},{"info":"compute unary expreesion, input=1138, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-2138","layer":1},{"info":"compute unary expreesion, input=-2138, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":0}],"base":9,"result_base":9,"text":"⇖⫷⫕(⩰⋋%⋟1504)=⋋%⋟3775","reverse_text":"⋋%⋟3775=⇖⫷⫕(⩰⋋%⋟1504)","cot":[{"info":"⩰⋋%⋟1504=⋋%⋟-2835","layer":1},{"info":"⇖⫷⫕⋋%⋟-2835=⋋%⋟3775","layer":0}]}
+{"id":846,"expression_no_base_symbol":"(≉$2309$)≴⪞⇿($2906$⫳≱↱$7962$)","expression":"(≉⋋%⋟3145)≴⪞⇿(⋋%⋟3878⫳≱↱⋋%⋟11826)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2915,"operation_count":3,"complexity_ratio":971.6666666666666,"tree":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":2309,"base":9}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":2906,"base":9},"right_expr":{"type":"numeric_atoms","value":7962,"base":9}}},"used_operators":["lvlrscuwVU","e1ybzncUwg","ZvLB05nZmT"],"dependent_operators":["DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA"],"result":"⋋%⋟26686072","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2309","layer":2},{"info":"compute unary expreesion, input=2309, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2840","layer":1},{"info":"number node, value=2906","layer":2},{"info":"number node, value=7962","layer":2},{"info":"compute binary expreesion, left_input=2906, right_input=7962, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":1},{"info":"compute binary expreesion, left_input=2840, right_input=-204, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=13165805","layer":0}],"base":9,"result_base":9,"text":"(≉⋋%⋟3145)≴⪞⇿(⋋%⋟3878⫳≱↱⋋%⋟11826)=⋋%⋟26686072","reverse_text":"⋋%⋟26686072=(≉⋋%⋟3145)≴⪞⇿(⋋%⋟3878⫳≱↱⋋%⋟11826)","cot":[{"info":"≉⋋%⋟3145=⋋%⋟3805","layer":1},{"info":"⋋%⋟3878⫳≱↱⋋%⋟11826=⋋%⋟-246","layer":1},{"info":"⋋%⋟3805≴⪞⇿⋋%⋟-246=⋋%⋟26686072","layer":0}]}
+{"id":847,"expression_no_base_symbol":"($1663$≬⋮$5002$)∀⇚≩($1540$∕⩚$4265$)","expression":"(⋋%⋟2247≬⋮⋋%⋟6767)∀⇚≩(⋋%⋟2101∕⩚⋋%⋟5758)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7644,"operation_count":3,"complexity_ratio":2548.0,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":1663,"base":9},"right_expr":{"type":"numeric_atoms","value":5002,"base":9}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":1540,"base":9},"right_expr":{"type":"numeric_atoms","value":4265,"base":9}}},"used_operators":["LRNGc0VcxI","kbkesczE7y","z9ffQ9n5Zr"],"dependent_operators":["X99M06cbEe","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1663","layer":2},{"info":"number node, value=5002","layer":2},{"info":"compute binary expreesion, left_input=1663, right_input=5002, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":1},{"info":"number node, value=1540","layer":2},{"info":"number node, value=4265","layer":2},{"info":"compute binary expreesion, left_input=1540, right_input=4265, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-1543","layer":1},{"info":"compute binary expreesion, left_input=868, right_input=-1543, 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":9,"result_base":9,"text":"(⋋%⋟2247≬⋮⋋%⋟6767)∀⇚≩(⋋%⋟2101∕⩚⋋%⋟5758)=NaN","reverse_text":"NaN=(⋋%⋟2247≬⋮⋋%⋟6767)∀⇚≩(⋋%⋟2101∕⩚⋋%⋟5758)","cot":[{"info":"⋋%⋟2247≬⋮⋋%⋟6767=⋋%⋟1164","layer":1},{"info":"⋋%⋟2101∕⩚⋋%⋟5758=⋋%⋟-2104","layer":1},{"info":"⋋%⋟1164∀⇚≩⋋%⋟-2104=NaN","layer":0}]}
+{"id":848,"expression_no_base_symbol":"⨈⪑(⩩$1109$)","expression":"⨈⪑(⩩⋋%⋟1462)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2115,"operation_count":2,"complexity_ratio":1057.5,"tree":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"numeric_atoms","value":1109,"base":9}}},"used_operators":["mp94q5OcYM","kMhfGuqI2H"],"dependent_operators":["YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1109","layer":2},{"info":"compute unary expreesion, input=1109, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒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":9,"result_base":9,"text":"⨈⪑(⩩⋋%⋟1462)=NaN","reverse_text":"NaN=⨈⪑(⩩⋋%⋟1462)","cot":[{"info":"⩩⋋%⋟1462=NaN","layer":1},{"info":"⨈⪑NaN=NaN","layer":0}]}
+{"id":849,"expression_no_base_symbol":"($5271$⋷$1000$)⩁","expression":"(⋋%⋟7206⋷⋋%⋟1331)⩁","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":26,"operation_count":2,"complexity_ratio":13.0,"tree":{"type":"unary","operator":"⩁","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":5271,"base":9},"right_expr":{"type":"numeric_atoms","value":1000,"base":9}}},"used_operators":["5GqDbVmqXU","23Mk6UjR3U"],"dependent_operators":["7j4O788W3g","jLgFTUHLKL","8cLx32lpNA","W4YGzv6Whe","t8gj7n24qd"],"result":"⋋%⋟4434","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=5271","layer":2},{"info":"number node, value=1000","layer":2},{"info":"compute binary expreesion, left_input=5271, right_input=1000, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-3271","layer":1},{"info":"compute unary expreesion, input=-3271, op_id = 5GqDbVmqXU, unary_op_definition = 'a⩁ = { ((↩a)∌(a↺a)) }', output=3271","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟7206⋷⋋%⋟1331)⩁=⋋%⋟4434","reverse_text":"⋋%⋟4434=(⋋%⋟7206⋷⋋%⋟1331)⩁","cot":[{"info":"⋋%⋟7206⋷⋋%⋟1331=⋋%⋟-4434","layer":1},{"info":"⋋%⋟-4434⩁=⋋%⋟4434","layer":0}]}
+{"id":850,"expression_no_base_symbol":"$1651$→⨶⪴$1244$∑⇟⊟$5557$⪎↠$3452$","expression":"⋋%⋟2234→⨶⪴⋋%⋟1632∑⇟⊟⋋%⋟7554⪎↠⋋%⋟4655","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":26054,"operation_count":3,"complexity_ratio":8684.666666666666,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":1651,"base":9},"right_expr":{"type":"numeric_atoms","value":1244,"base":9}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":5557,"base":9},"right_expr":{"type":"numeric_atoms","value":3452,"base":9}}},"used_operators":["U7g4x0WXJJ","bF6eod5Gvf","3tVxb0NHM4"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","8w2t5hMYqp","9FxExcQeMw","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1651","layer":2},{"info":"number node, value=1244","layer":2},{"info":"compute binary expreesion, left_input=1651, right_input=1244, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-3732","layer":1},{"info":"number node, value=5557","layer":2},{"info":"number node, value=3452","layer":2},{"info":"compute binary expreesion, left_input=5557, right_input=3452, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=-3732, right_input=160, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟2234→⨶⪴⋋%⋟1632∑⇟⊟⋋%⋟7554⪎↠⋋%⋟4655=NaN","reverse_text":"NaN=⋋%⋟2234→⨶⪴⋋%⋟1632∑⇟⊟⋋%⋟7554⪎↠⋋%⋟4655","cot":[{"info":"⋋%⋟2234→⨶⪴⋋%⋟1632=⋋%⋟-5106","layer":1},{"info":"⋋%⋟7554⪎↠⋋%⋟4655=⋋%⋟187","layer":1},{"info":"⋋%⋟-5106∑⇟⊟⋋%⋟187=NaN","layer":0}]}
+{"id":851,"expression_no_base_symbol":"($2741$⩚⊴⇥$1445$)∣($2364$⪁$2021$)","expression":"(⋋%⋟3675⩚⊴⇥⋋%⋟1875)∣(⋋%⋟3216⪁⋋%⋟2685)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":65344874,"operation_count":3,"complexity_ratio":21781624.666666668,"tree":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2741,"base":9},"right_expr":{"type":"numeric_atoms","value":1445,"base":9}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":2364,"base":9},"right_expr":{"type":"numeric_atoms","value":2021,"base":9}}},"used_operators":["PPChnnnBFF","NTOWxs364D","I7sXao9hZE"],"dependent_operators":["eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY"],"result":"⋋%⋟-5815","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2741","layer":2},{"info":"number node, value=1445","layer":2},{"info":"compute binary expreesion, left_input=2741, right_input=1445, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4307","layer":1},{"info":"number node, value=2364","layer":2},{"info":"number node, value=2021","layer":2},{"info":"compute binary expreesion, left_input=2364, right_input=2021, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-4307, right_input=nan, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=-4307","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟3675⩚⊴⇥⋋%⋟1875)∣(⋋%⋟3216⪁⋋%⋟2685)=⋋%⋟-5815","reverse_text":"⋋%⋟-5815=(⋋%⋟3675⩚⊴⇥⋋%⋟1875)∣(⋋%⋟3216⪁⋋%⋟2685)","cot":[{"info":"⋋%⋟3675⩚⊴⇥⋋%⋟1875=⋋%⋟-5815","layer":1},{"info":"⋋%⋟3216⪁⋋%⋟2685=NaN","layer":1},{"info":"⋋%⋟-5815∣NaN=⋋%⋟-5815","layer":0}]}
+{"id":852,"expression_no_base_symbol":"≅≯⇸(⇾⩊⇾$1909$)","expression":"≅≯⇸(⇾⩊⇾⋋%⋟2551)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":27,"operation_count":2,"complexity_ratio":13.5,"tree":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"numeric_atoms","value":1909,"base":9}}},"used_operators":["apS25hmuAe","bx9Z9DAK5y"],"dependent_operators":["EBcxylXtPf","QMFrweE19q","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q"],"result":"⋋%⋟-142286","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1909","layer":2},{"info":"compute unary expreesion, input=1909, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-23667","layer":1},{"info":"compute unary expreesion, input=-23667, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=-86991","layer":0}],"base":9,"result_base":9,"text":"≅≯⇸(⇾⩊⇾⋋%⋟2551)=⋋%⋟-142286","reverse_text":"⋋%⋟-142286=≅≯⇸(⇾⩊⇾⋋%⋟2551)","cot":[{"info":"⇾⩊⇾⋋%⋟2551=⋋%⋟-35416","layer":1},{"info":"≅≯⇸⋋%⋟-35416=⋋%⋟-142286","layer":0}]}
+{"id":853,"expression_no_base_symbol":"$3568$⩦$5031$⋝⋈⪟(⨡↴$4565$)","expression":"⋋%⋟4804⩦⋋%⋟6810⋝⋈⪟(⨡↴⋋%⋟6232)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":23,"operation_count":3,"complexity_ratio":7.666666666666667,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":3568,"base":9},"right_expr":{"type":"numeric_atoms","value":5031,"base":9}},"right_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"numeric_atoms","value":4565,"base":9}}},"used_operators":["2DDjHMKMc0","0kmYd0q39Y","liw5iZPkLH"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","W4YGzv6Whe","P8v4zCKN1o"],"result":"⋋%⋟10708","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3568","layer":2},{"info":"number node, value=5031","layer":2},{"info":"compute binary expreesion, left_input=3568, right_input=5031, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=7136","layer":1},{"info":"number node, value=4565","layer":2},{"info":"compute unary expreesion, input=4565, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=5614","layer":1},{"info":"compute binary expreesion, left_input=7136, right_input=5614, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=7136","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟4804⩦⋋%⋟6810⋝⋈⪟(⨡↴⋋%⋟6232)=⋋%⋟10708","reverse_text":"⋋%⋟10708=⋋%⋟4804⩦⋋%⋟6810⋝⋈⪟(⨡↴⋋%⋟6232)","cot":[{"info":"⋋%⋟4804⩦⋋%⋟6810=⋋%⋟10708","layer":1},{"info":"⨡↴⋋%⋟6232=⋋%⋟7627","layer":1},{"info":"⋋%⋟10708⋝⋈⪟⋋%⋟7627=⋋%⋟10708","layer":0}]}
+{"id":854,"expression_no_base_symbol":"$6767$⪕$4279$⫥∨⫟$2858$⇴$1729$","expression":"⋋%⋟10248⪕⋋%⋟5774⫥∨⫟⋋%⋟3825⇴⋋%⋟2331","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":179,"operation_count":3,"complexity_ratio":59.666666666666664,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":6767,"base":9},"right_expr":{"type":"numeric_atoms","value":4279,"base":9}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":2858,"base":9},"right_expr":{"type":"numeric_atoms","value":1729,"base":9}}},"used_operators":["KYD54nUTWz","umQnsF7QlU","4JB6nKBMSY"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","sdazOOVcIp","NTOWxs364D","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=6767","layer":2},{"info":"number node, value=4279","layer":2},{"info":"compute binary expreesion, left_input=6767, right_input=4279, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=10156","layer":1},{"info":"number node, value=2858","layer":2},{"info":"number node, value=1729","layer":2},{"info":"compute binary expreesion, left_input=2858, right_input=1729, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=20220","layer":1},{"info":"compute binary expreesion, left_input=10156, right_input=20220, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟10248⪕⋋%⋟5774⫥∨⫟⋋%⋟3825⇴⋋%⋟2331=NaN","reverse_text":"NaN=⋋%⋟10248⪕⋋%⋟5774⫥∨⫟⋋%⋟3825⇴⋋%⋟2331","cot":[{"info":"⋋%⋟10248⪕⋋%⋟5774=⋋%⋟14834","layer":1},{"info":"⋋%⋟3825⇴⋋%⋟2331=⋋%⋟30656","layer":1},{"info":"⋋%⋟14834⫥∨⫟⋋%⋟30656=NaN","layer":0}]}
+{"id":855,"expression_no_base_symbol":"($1554$↳∿⪆$7375$)↳∿⪆($6067$⊋$1867$)","expression":"(⋋%⋟2116↳∿⪆⋋%⋟11104)↳∿⪆(⋋%⋟8281⊋⋋%⋟2504)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1199965,"operation_count":3,"complexity_ratio":399988.3333333333,"tree":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":1554,"base":9},"right_expr":{"type":"numeric_atoms","value":7375,"base":9}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":6067,"base":9},"right_expr":{"type":"numeric_atoms","value":1867,"base":9}}},"used_operators":["Cw4SuJJGHO","W4tP9CfskL"],"dependent_operators":["hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1554","layer":2},{"info":"number node, value=7375","layer":2},{"info":"compute binary expreesion, left_input=1554, right_input=7375, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":1},{"info":"number node, value=6067","layer":2},{"info":"number node, value=1867","layer":2},{"info":"compute binary expreesion, left_input=6067, right_input=1867, 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=60583788","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=60583788, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟2116↳∿⪆⋋%⋟11104)↳∿⪆(⋋%⋟8281⊋⋋%⋟2504)=NaN","reverse_text":"NaN=(⋋%⋟2116↳∿⪆⋋%⋟11104)↳∿⪆(⋋%⋟8281⊋⋋%⋟2504)","cot":[{"info":"⋋%⋟2116↳∿⪆⋋%⋟11104=NaN","layer":1},{"info":"⋋%⋟8281⊋⋋%⋟2504=⋋%⋟135888300","layer":1},{"info":"NaN↳∿⪆⋋%⋟135888300=NaN","layer":0}]}
+{"id":856,"expression_no_base_symbol":"⊁⨺$3840$↤⩊$1019$","expression":"⊁⨺⋋%⋟5236↤⩊⋋%⋟1352","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":194,"operation_count":2,"complexity_ratio":97.0,"tree":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":3840,"base":9},"right_expr":{"type":"numeric_atoms","value":1019,"base":9}}},"used_operators":["PxiHyQbrIp","13rbtpv6ld"],"dependent_operators":["rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=3840","layer":2},{"info":"number node, value=1019","layer":2},{"info":"compute binary expreesion, left_input=3840, right_input=1019, 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 = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=nan","layer":0}],"base":9,"result_base":9,"text":"⊁⨺⋋%⋟5236↤⩊⋋%⋟1352=NaN","reverse_text":"NaN=⊁⨺⋋%⋟5236↤⩊⋋%⋟1352","cot":[{"info":"⋋%⋟5236↤⩊⋋%⋟1352=NaN","layer":1},{"info":"⊁⨺NaN=NaN","layer":0}]}
+{"id":857,"expression_no_base_symbol":"(∤↝$4816$)↞⋁(⫶⊄≣$6022$)","expression":"(∤↝⋋%⋟6541)↞⋁(⫶⊄≣⋋%⋟8231)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":6224,"operation_count":3,"complexity_ratio":2074.6666666666665,"tree":{"type":"binary","operator":"↞⋁","left_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"numeric_atoms","value":4816,"base":9}},"right_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"numeric_atoms","value":6022,"base":9}}},"used_operators":["RqrPlJkxDo","3UMq87Qwqg","wxb3vTeyAj"],"dependent_operators":["Uaa54Peajs","CArV6hThFE","13rbtpv6ld","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=4816","layer":2},{"info":"compute unary expreesion, input=4816, 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=4816","layer":1},{"info":"number node, value=6022","layer":2},{"info":"compute unary expreesion, input=6022, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=652865797","layer":1},{"info":"compute binary expreesion, left_input=4816, right_input=652865797, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(∤↝⋋%⋟6541)↞⋁(⫶⊄≣⋋%⋟8231)=NaN","reverse_text":"NaN=(∤↝⋋%⋟6541)↞⋁(⫶⊄≣⋋%⋟8231)","cot":[{"info":"∤↝⋋%⋟6541=⋋%⋟6541","layer":1},{"info":"⫶⊄≣⋋%⋟8231=⋋%⋟1614430451","layer":1},{"info":"⋋%⋟6541↞⋁⋋%⋟1614430451=NaN","layer":0}]}
+{"id":858,"expression_no_base_symbol":"$2169$⇻⋧≁$3131$⪁$1215$⨸⪁$6269$","expression":"⋋%⋟2870⇻⋧≁⋋%⋟4258⪁⋋%⋟1600⨸⪁⋋%⋟8535","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":17650,"operation_count":3,"complexity_ratio":5883.333333333333,"tree":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":2169,"base":9},"right_expr":{"type":"numeric_atoms","value":3131,"base":9}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1215,"base":9},"right_expr":{"type":"numeric_atoms","value":6269,"base":9}}},"used_operators":["I7sXao9hZE","jCPkEVoL5K","g55IO6H4Gj"],"dependent_operators":["dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2169","layer":2},{"info":"number node, value=3131","layer":2},{"info":"compute binary expreesion, left_input=2169, right_input=3131, 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":"number node, value=1215","layer":2},{"info":"number node, value=6269","layer":2},{"info":"compute binary expreesion, left_input=1215, right_input=6269, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=14968","layer":1},{"info":"compute binary expreesion, left_input=-447, right_input=14968, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟2870⇻⋧≁⋋%⋟4258⪁⋋%⋟1600⨸⪁⋋%⋟8535=NaN","reverse_text":"NaN=⋋%⋟2870⇻⋧≁⋋%⋟4258⪁⋋%⋟1600⨸⪁⋋%⋟8535","cot":[{"info":"⋋%⋟2870⇻⋧≁⋋%⋟4258=⋋%⋟-546","layer":1},{"info":"⋋%⋟1600⨸⪁⋋%⋟8535=⋋%⋟22471","layer":1},{"info":"⋋%⋟-546⪁⋋%⋟22471=NaN","layer":0}]}
+{"id":859,"expression_no_base_symbol":"$1439$⨸$3541$↡⊰⫅(⊿$2747$)","expression":"⋋%⋟1868⨸⋋%⋟4764↡⊰⫅(⊿⋋%⋟3682)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":165754,"operation_count":3,"complexity_ratio":55251.333333333336,"tree":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":1439,"base":9},"right_expr":{"type":"numeric_atoms","value":3541,"base":9}},"right_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"numeric_atoms","value":2747,"base":9}}},"used_operators":["VCtxkLNOzz","KmoU8R5UQR","DO4fhlbJSI"],"dependent_operators":["Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1439","layer":2},{"info":"number node, value=3541","layer":2},{"info":"compute binary expreesion, left_input=1439, right_input=3541, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=2878","layer":1},{"info":"number node, value=2747","layer":2},{"info":"compute unary expreesion, input=2747, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-11726","layer":1},{"info":"compute binary expreesion, left_input=2878, right_input=-11726, 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":9,"result_base":9,"text":"⋋%⋟1868⨸⋋%⋟4764↡⊰⫅(⊿⋋%⋟3682)=NaN","reverse_text":"NaN=⋋%⋟1868⨸⋋%⋟4764↡⊰⫅(⊿⋋%⋟3682)","cot":[{"info":"⋋%⋟1868⨸⋋%⋟4764=⋋%⋟3847","layer":1},{"info":"⊿⋋%⋟3682=⋋%⋟-17068","layer":1},{"info":"⋋%⋟3847↡⊰⫅⋋%⋟-17068=NaN","layer":0}]}
+{"id":860,"expression_no_base_symbol":"$6910$∋$1110$%$5622$⫣⪄⊒$6477$","expression":"⋋%⋟10427∋⋋%⋟1463%⋋%⋟7636⫣⪄⊒⋋%⋟8786","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":230,"operation_count":3,"complexity_ratio":76.66666666666667,"tree":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":6910,"base":9},"right_expr":{"type":"numeric_atoms","value":1110,"base":9}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":5622,"base":9},"right_expr":{"type":"numeric_atoms","value":6477,"base":9}}},"used_operators":["k8jYdgA6NY","ukq6epAj5P","RabNbG55vr"],"dependent_operators":["rysDP5nf3Z","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI"],"result":"⋋%⋟-15381","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=6910","layer":2},{"info":"number node, value=1110","layer":2},{"info":"compute binary expreesion, left_input=6910, right_input=1110, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=2605568","layer":1},{"info":"number node, value=5622","layer":2},{"info":"number node, value=6477","layer":2},{"info":"compute binary expreesion, left_input=5622, right_input=6477, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-28130","layer":1},{"info":"compute binary expreesion, left_input=2605568, right_input=-28130, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-10522","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟10427∋⋋%⋟1463%⋋%⋟7636⫣⪄⊒⋋%⋟8786=⋋%⋟-15381","reverse_text":"⋋%⋟-15381=⋋%⋟10427∋⋋%⋟1463%⋋%⋟7636⫣⪄⊒⋋%⋟8786","cot":[{"info":"⋋%⋟10427∋⋋%⋟1463=⋋%⋟4811145","layer":1},{"info":"⋋%⋟7636⫣⪄⊒⋋%⋟8786=⋋%⋟-42525","layer":1},{"info":"⋋%⋟4811145%⋋%⋟-42525=⋋%⋟-15381","layer":0}]}
+{"id":861,"expression_no_base_symbol":"$2788$⨸$1324$⇼⇔∾$3125$⫸⇳$2331$","expression":"⋋%⋟3737⨸⋋%⋟1731⇼⇔∾⋋%⋟4252⫸⇳⋋%⋟3170","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2911,"operation_count":3,"complexity_ratio":970.3333333333334,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":2788,"base":9},"right_expr":{"type":"numeric_atoms","value":1324,"base":9}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":3125,"base":9},"right_expr":{"type":"numeric_atoms","value":2331,"base":9}}},"used_operators":["tifHPKVTfV","KmoU8R5UQR","gx7XJ7hdpj"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL"],"result":"⋋%⋟-7575","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2788","layer":2},{"info":"number node, value=1324","layer":2},{"info":"compute binary expreesion, left_input=2788, right_input=1324, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=5576","layer":1},{"info":"number node, value=3125","layer":2},{"info":"number node, value=2331","layer":2},{"info":"compute binary expreesion, left_input=3125, right_input=2331, 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=5576, right_input=0, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-5576","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟3737⨸⋋%⋟1731⇼⇔∾⋋%⋟4252⫸⇳⋋%⋟3170=⋋%⋟-7575","reverse_text":"⋋%⋟-7575=⋋%⋟3737⨸⋋%⋟1731⇼⇔∾⋋%⋟4252⫸⇳⋋%⋟3170","cot":[{"info":"⋋%⋟3737⨸⋋%⋟1731=⋋%⋟7575","layer":1},{"info":"⋋%⋟4252⫸⇳⋋%⋟3170=⋋%⋟0","layer":1},{"info":"⋋%⋟7575⇼⇔∾⋋%⋟0=⋋%⋟-7575","layer":0}]}
+{"id":862,"expression_no_base_symbol":"(↨⩢⫨$2686$)≚⊃≕($4410$∑⇟⊟$2171$)","expression":"(↨⩢⫨⋋%⋟3614)≚⊃≕(⋋%⋟6040∑⇟⊟⋋%⋟2872)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":87,"operation_count":3,"complexity_ratio":29.0,"tree":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"numeric_atoms","value":2686,"base":9}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":4410,"base":9},"right_expr":{"type":"numeric_atoms","value":2171,"base":9}}},"used_operators":["Bmrmz2XGnR","Z5CJsN7DuW","U7g4x0WXJJ"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"⋋%⋟-4581","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=2686","layer":2},{"info":"compute unary expreesion, input=2686, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":1},{"info":"number node, value=4410","layer":2},{"info":"number node, value=2171","layer":2},{"info":"compute binary expreesion, left_input=4410, right_input=2171, 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=0, 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=-3394","layer":0}],"base":9,"result_base":9,"text":"(↨⩢⫨⋋%⋟3614)≚⊃≕(⋋%⋟6040∑⇟⊟⋋%⋟2872)=⋋%⋟-4581","reverse_text":"⋋%⋟-4581=(↨⩢⫨⋋%⋟3614)≚⊃≕(⋋%⋟6040∑⇟⊟⋋%⋟2872)","cot":[{"info":"↨⩢⫨⋋%⋟3614=⋋%⋟0","layer":1},{"info":"⋋%⋟6040∑⇟⊟⋋%⋟2872=NaN","layer":1},{"info":"⋋%⋟0≚⊃≕NaN=⋋%⋟-4581","layer":0}]}
+{"id":863,"expression_no_base_symbol":"$1161$∘$4922$⪭≯$7068$⇤$1707$","expression":"⋋%⋟1530∘⋋%⋟6668⪭≯⋋%⋟10623⇤⋋%⋟2306","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":194,"operation_count":3,"complexity_ratio":64.66666666666667,"tree":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":1161,"base":9},"right_expr":{"type":"numeric_atoms","value":4922,"base":9}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":7068,"base":9},"right_expr":{"type":"numeric_atoms","value":1707,"base":9}}},"used_operators":["XAx5wpdLa6","Z5m6OM72h2","YSKBFp38Pu"],"dependent_operators":["9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","eH2TOUuTDT","rysDP5nf3Z","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1161","layer":2},{"info":"number node, value=4922","layer":2},{"info":"compute binary expreesion, left_input=1161, right_input=4922, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=2322","layer":1},{"info":"number node, value=7068","layer":2},{"info":"number node, value=1707","layer":2},{"info":"compute binary expreesion, left_input=7068, right_input=1707, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-41027","layer":1},{"info":"compute binary expreesion, left_input=2322, right_input=-41027, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟1530∘⋋%⋟6668⪭≯⋋%⋟10623⇤⋋%⋟2306=NaN","reverse_text":"NaN=⋋%⋟1530∘⋋%⋟6668⪭≯⋋%⋟10623⇤⋋%⋟2306","cot":[{"info":"⋋%⋟1530∘⋋%⋟6668=⋋%⋟3160","layer":1},{"info":"⋋%⋟10623⇤⋋%⋟2306=⋋%⋟-62245","layer":1},{"info":"⋋%⋟3160⪭≯⋋%⋟-62245=NaN","layer":0}]}
+{"id":864,"expression_no_base_symbol":"($1616$⫿)⪔⊥$1024$≦↸$2785$","expression":"(⋋%⋟2185⫿)⪔⊥⋋%⋟1357≦↸⋋%⋟3734","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":31,"operation_count":3,"complexity_ratio":10.333333333333334,"tree":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"unary","operator":"⫿","unary_expr":{"type":"numeric_atoms","value":1616,"base":9}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":1024,"base":9},"right_expr":{"type":"numeric_atoms","value":2785,"base":9}}},"used_operators":["HJ9erzHUuu","9tKT6PmtkH","RygbFNSyEJ"],"dependent_operators":["eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","DpFCA1CohY","9ICcGScMcE","f6k1SAg4EE","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj"],"result":"⋋%⋟-1107","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1616","layer":2},{"info":"compute unary expreesion, input=1616, op_id = 9tKT6PmtkH, unary_op_definition = 'a⫿ = { (≦∁a) , if (⋗⩬⋾a)<1 ; (a⪒a) , else }', output=1616","layer":1},{"info":"number node, value=1024","layer":2},{"info":"number node, value=2785","layer":2},{"info":"compute binary expreesion, left_input=1024, right_input=2785, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-6937","layer":1},{"info":"compute binary expreesion, left_input=1616, right_input=-6937, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=-817","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟2185⫿)⪔⊥⋋%⋟1357≦↸⋋%⋟3734=⋋%⋟-1107","reverse_text":"⋋%⋟-1107=(⋋%⋟2185⫿)⪔⊥⋋%⋟1357≦↸⋋%⋟3734","cot":[{"info":"⋋%⋟2185⫿=⋋%⋟2185","layer":1},{"info":"⋋%⋟1357≦↸⋋%⋟3734=⋋%⋟-10457","layer":1},{"info":"⋋%⋟2185⪔⊥⋋%⋟-10457=⋋%⋟-1107","layer":0}]}
+{"id":865,"expression_no_base_symbol":"⫡⇟⇯($3713$≭$2338$)","expression":"⫡⇟⇯(⋋%⋟5075≭⋋%⋟3177)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":6,"operation_count":2,"complexity_ratio":3.0,"tree":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3713,"base":9},"right_expr":{"type":"numeric_atoms","value":2338,"base":9}}},"used_operators":["qWUSsah53b","rxpJgHHUmx"],"dependent_operators":["DZ8iAZOCBD","P8v4zCKN1o","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=3713","layer":2},{"info":"number node, value=2338","layer":2},{"info":"compute binary expreesion, left_input=3713, right_input=2338, 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 = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"⫡⇟⇯(⋋%⋟5075≭⋋%⋟3177)=NaN","reverse_text":"NaN=⫡⇟⇯(⋋%⋟5075≭⋋%⋟3177)","cot":[{"info":"⋋%⋟5075≭⋋%⋟3177=NaN","layer":1},{"info":"⫡⇟⇯NaN=NaN","layer":0}]}
+{"id":866,"expression_no_base_symbol":"(⇁⨣⪵$6323$)⪓⨏","expression":"(⇁⨣⪵⋋%⋟8605)⪓⨏","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":168,"operation_count":2,"complexity_ratio":84.0,"tree":{"type":"unary","operator":"⪓⨏","unary_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":6323,"base":9}}},"used_operators":["4X9JU4Jbn6","inkyxCbjAn"],"dependent_operators":["gJLn6v0xnP","nOKPl9n5zu","W9R8I5fN5A","rxpJgHHUmx","inkyxCbjAn","z63VuFQld9","AcOhelriW5","3sJ7IOPOlU","CoMdbyAt7R","cHh1gJQ2o6","xlXykHWxX1","Nsiff2A1zJ","B5M0gjZbta"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=6323","layer":2},{"info":"compute unary expreesion, input=6323, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 4X9JU4Jbn6, unary_op_definition = 'a⪓⨏ = { (((⨣⨃⇪a)≭(a⊊))⫢⨠((a⪇≇⋚a)⩘(413≥⨤⩑a))) , if (⇁⨣⪵a)<1 ; ((⋗⩴⪓(191∧))⫢⨠(⨛(a⊴a))) , else }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(⇁⨣⪵⋋%⋟8605)⪓⨏=NaN","reverse_text":"NaN=(⇁⨣⪵⋋%⋟8605)⪓⨏","cot":[{"info":"⇁⨣⪵⋋%⋟8605=NaN","layer":1},{"info":"NaN⪓⨏=NaN","layer":0}]}
+{"id":867,"expression_no_base_symbol":"∡($2925$∷$6480$)","expression":"∡(⋋%⋟4010∷⋋%⋟8800)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":12,"operation_count":2,"complexity_ratio":6.0,"tree":{"type":"unary","operator":"∡","unary_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":2925,"base":9},"right_expr":{"type":"numeric_atoms","value":6480,"base":9}}},"used_operators":["pRsWfj4Fpp","D3AQDKkPcf"],"dependent_operators":["D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","9FxExcQeMw","NTOWxs364D","7j4O788W3g"],"result":"⋋%⋟-8800","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2925","layer":2},{"info":"number node, value=6480","layer":2},{"info":"compute binary expreesion, left_input=2925, right_input=6480, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=6480","layer":1},{"info":"compute unary expreesion, input=6480, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=-6480","layer":0}],"base":9,"result_base":9,"text":"∡(⋋%⋟4010∷⋋%⋟8800)=⋋%⋟-8800","reverse_text":"⋋%⋟-8800=∡(⋋%⋟4010∷⋋%⋟8800)","cot":[{"info":"⋋%⋟4010∷⋋%⋟8800=⋋%⋟8800","layer":1},{"info":"∡⋋%⋟8800=⋋%⋟-8800","layer":0}]}
+{"id":868,"expression_no_base_symbol":"($8126$⨰$5082$)⪟⇏($2027$≬⋮$1939$)","expression":"(⋋%⋟12128⨰⋋%⋟6866)⪟⇏(⋋%⋟2702≬⋮⋋%⋟2584)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":46,"operation_count":3,"complexity_ratio":15.333333333333334,"tree":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":8126,"base":9},"right_expr":{"type":"numeric_atoms","value":5082,"base":9}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":2027,"base":9},"right_expr":{"type":"numeric_atoms","value":1939,"base":9}}},"used_operators":["GODebY97qR","eewbuw0ToL","kbkesczE7y"],"dependent_operators":["gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI"],"result":"⋋%⋟-1","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=8126","layer":2},{"info":"number node, value=5082","layer":2},{"info":"compute binary expreesion, left_input=8126, right_input=5082, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=3054","layer":1},{"info":"number node, value=2027","layer":2},{"info":"number node, value=1939","layer":2},{"info":"compute binary expreesion, left_input=2027, right_input=1939, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":1},{"info":"compute binary expreesion, left_input=3054, right_input=868, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟12128⨰⋋%⋟6866)⪟⇏(⋋%⋟2702≬⋮⋋%⋟2584)=⋋%⋟-1","reverse_text":"⋋%⋟-1=(⋋%⋟12128⨰⋋%⋟6866)⪟⇏(⋋%⋟2702≬⋮⋋%⋟2584)","cot":[{"info":"⋋%⋟12128⨰⋋%⋟6866=⋋%⋟4163","layer":1},{"info":"⋋%⋟2702≬⋮⋋%⋟2584=⋋%⋟1164","layer":1},{"info":"⋋%⋟4163⪟⇏⋋%⋟1164=⋋%⋟-1","layer":0}]}
+{"id":869,"expression_no_base_symbol":"($6003$⊹∫⫚$1080$)≝⊿(⇖$9227$)","expression":"(⋋%⋟8210⊹∫⫚⋋%⋟1430)≝⊿(⇖⋋%⋟13582)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":33,"operation_count":3,"complexity_ratio":11.0,"tree":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":6003,"base":9},"right_expr":{"type":"numeric_atoms","value":1080,"base":9}},"right_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"numeric_atoms","value":9227,"base":9}}},"used_operators":["OKKcZfAt5B","uWAJUKEvyW","tfWHHpNKUN"],"dependent_operators":["12rbrZMWeM","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","2DQ55sFlQl"],"result":"⋋%⋟-1107","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=6003","layer":2},{"info":"number node, value=1080","layer":2},{"info":"compute binary expreesion, left_input=6003, right_input=1080, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-36","layer":1},{"info":"number node, value=9227","layer":2},{"info":"compute unary expreesion, input=9227, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":1},{"info":"compute binary expreesion, left_input=-36, right_input=160, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-817","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟8210⊹∫⫚⋋%⋟1430)≝⊿(⇖⋋%⋟13582)=⋋%⋟-1107","reverse_text":"⋋%⋟-1107=(⋋%⋟8210⊹∫⫚⋋%⋟1430)≝⊿(⇖⋋%⋟13582)","cot":[{"info":"⋋%⋟8210⊹∫⫚⋋%⋟1430=⋋%⋟-40","layer":1},{"info":"⇖⋋%⋟13582=⋋%⋟187","layer":1},{"info":"⋋%⋟-40≝⊿⋋%⋟187=⋋%⋟-1107","layer":0}]}
+{"id":870,"expression_no_base_symbol":"$1041$+⇶⊼$2621$≀⩗∶(⋼∭⪍$3642$)","expression":"⋋%⋟1376+⇶⊼⋋%⋟3532≀⩗∶(⋼∭⪍⋋%⋟4886)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":25,"operation_count":3,"complexity_ratio":8.333333333333334,"tree":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1041,"base":9},"right_expr":{"type":"numeric_atoms","value":2621,"base":9}},"right_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"numeric_atoms","value":3642,"base":9}}},"used_operators":["8INZBEW696","TpPTUOHfaN","DbCuESL50I"],"dependent_operators":["KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","AHs5Up7iyr","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1041","layer":2},{"info":"number node, value=2621","layer":2},{"info":"compute binary expreesion, left_input=1041, right_input=2621, 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=3642","layer":2},{"info":"compute unary expreesion, input=3642, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-12828","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-12828, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=nan","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟1376+⇶⊼⋋%⋟3532≀⩗∶(⋼∭⪍⋋%⋟4886)=NaN","reverse_text":"NaN=⋋%⋟1376+⇶⊼⋋%⋟3532≀⩗∶(⋼∭⪍⋋%⋟4886)","cot":[{"info":"⋋%⋟1376+⇶⊼⋋%⋟3532=NaN","layer":1},{"info":"⋼∭⪍⋋%⋟4886=⋋%⋟-18533","layer":1},{"info":"NaN≀⩗∶⋋%⋟-18533=NaN","layer":0}]}
+{"id":871,"expression_no_base_symbol":"$4235$⩧⪆$1435$⪒$2752$⫥∨⫟$8725$","expression":"⋋%⋟5725⩧⪆⋋%⋟1864⪒⋋%⋟3687⫥∨⫟⋋%⋟12864","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":158,"operation_count":3,"complexity_ratio":52.666666666666664,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":4235,"base":9},"right_expr":{"type":"numeric_atoms","value":1435,"base":9}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2752,"base":9},"right_expr":{"type":"numeric_atoms","value":8725,"base":9}}},"used_operators":["f6k1SAg4EE","Ikt5ks8PT7","KYD54nUTWz"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","eewbuw0ToL","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=4235","layer":2},{"info":"number node, value=1435","layer":2},{"info":"compute binary expreesion, left_input=4235, right_input=1435, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-1435","layer":1},{"info":"number node, value=2752","layer":2},{"info":"number node, value=8725","layer":2},{"info":"compute binary expreesion, left_input=2752, right_input=8725, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-1435, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟5725⩧⪆⋋%⋟1864⪒⋋%⋟3687⫥∨⫟⋋%⋟12864=NaN","reverse_text":"NaN=⋋%⋟5725⩧⪆⋋%⋟1864⪒⋋%⋟3687⫥∨⫟⋋%⋟12864","cot":[{"info":"⋋%⋟5725⩧⪆⋋%⋟1864=⋋%⋟-1864","layer":1},{"info":"⋋%⋟3687⫥∨⫟⋋%⋟12864=NaN","layer":1},{"info":"⋋%⋟-1864⪒NaN=NaN","layer":0}]}
+{"id":872,"expression_no_base_symbol":"(↥≼⋛$1004$)⇤$4923$⨥⫆$3212$","expression":"(↥≼⋛⋋%⋟1335)⇤⋋%⋟6670⨥⫆⋋%⋟4358","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":42,"operation_count":3,"complexity_ratio":14.0,"tree":{"type":"binary","operator":"⇤","left_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"numeric_atoms","value":1004,"base":9}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":4923,"base":9},"right_expr":{"type":"numeric_atoms","value":3212,"base":9}}},"used_operators":["YSKBFp38Pu","x5lMkHmzsq","yXekIHxTD4"],"dependent_operators":["rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X"],"result":"⋋%⋟-42467","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1004","layer":2},{"info":"compute unary expreesion, input=1004, 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=4923","layer":2},{"info":"number node, value=3212","layer":2},{"info":"compute binary expreesion, left_input=4923, right_input=3212, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=6300","layer":1},{"info":"compute binary expreesion, left_input=-113, right_input=6300, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-28087","layer":0}],"base":9,"result_base":9,"text":"(↥≼⋛⋋%⋟1335)⇤⋋%⋟6670⨥⫆⋋%⋟4358=⋋%⋟-42467","reverse_text":"⋋%⋟-42467=(↥≼⋛⋋%⋟1335)⇤⋋%⋟6670⨥⫆⋋%⋟4358","cot":[{"info":"↥≼⋛⋋%⋟1335=⋋%⋟-135","layer":1},{"info":"⋋%⋟6670⨥⫆⋋%⋟4358=⋋%⋟8570","layer":1},{"info":"⋋%⋟-135⇤⋋%⋟8570=⋋%⋟-42467","layer":0}]}
+{"id":873,"expression_no_base_symbol":"($1414$↡⊰⫅$4784$)⪕($1232$⨶)","expression":"(⋋%⋟1841↡⊰⫅⋋%⋟6505)⪕(⋋%⋟1618⨶)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":67013,"operation_count":3,"complexity_ratio":22337.666666666668,"tree":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":1414,"base":9},"right_expr":{"type":"numeric_atoms","value":4784,"base":9}},"right_expr":{"type":"unary","operator":"⨶","unary_expr":{"type":"numeric_atoms","value":1232,"base":9}}},"used_operators":["umQnsF7QlU","VCtxkLNOzz","rFxw8gIMmB"],"dependent_operators":["P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","f6k1SAg4EE","Qy55tPpLXF"],"result":"⋋%⋟28445","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1414","layer":2},{"info":"number node, value=4784","layer":2},{"info":"compute binary expreesion, left_input=1414, right_input=4784, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=9568","layer":1},{"info":"number node, value=1232","layer":2},{"info":"compute unary expreesion, input=1232, op_id = rFxw8gIMmB, unary_op_definition = 'a⨶ = { ((a⋥≓≎303)⪒(a⋥≓≎537)) }', output=718","layer":1},{"info":"compute binary expreesion, left_input=9568, right_input=718, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=19319","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟1841↡⊰⫅⋋%⋟6505)⪕(⋋%⋟1618⨶)=⋋%⋟28445","reverse_text":"⋋%⋟28445=(⋋%⋟1841↡⊰⫅⋋%⋟6505)⪕(⋋%⋟1618⨶)","cot":[{"info":"⋋%⋟1841↡⊰⫅⋋%⋟6505=⋋%⋟14111","layer":1},{"info":"⋋%⋟1618⨶=⋋%⋟877","layer":1},{"info":"⋋%⋟14111⪕⋋%⋟877=⋋%⋟28445","layer":0}]}
+{"id":874,"expression_no_base_symbol":"(⩦⊞$2707$)⨎($2037$∠⫱$4760$)","expression":"(⩦⊞⋋%⋟3637)⨎(⋋%⋟2713∠⫱⋋%⋟6468)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":14,"operation_count":3,"complexity_ratio":4.666666666666667,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"numeric_atoms","value":2707,"base":9}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":2037,"base":9},"right_expr":{"type":"numeric_atoms","value":4760,"base":9}}},"used_operators":["rJVOvQCfKK","u7fv1HBiaC","QvoQhV0rrE"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP"],"result":"⋋%⋟1621","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2707","layer":2},{"info":"compute unary expreesion, input=2707, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-2434","layer":1},{"info":"number node, value=2037","layer":2},{"info":"number node, value=4760","layer":2},{"info":"compute binary expreesion, left_input=2037, right_input=4760, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":1},{"info":"compute binary expreesion, left_input=-2434, right_input=1234, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1234","layer":0}],"base":9,"result_base":9,"text":"(⩦⊞⋋%⋟3637)⨎(⋋%⋟2713∠⫱⋋%⋟6468)=⋋%⋟1621","reverse_text":"⋋%⋟1621=(⩦⊞⋋%⋟3637)⨎(⋋%⋟2713∠⫱⋋%⋟6468)","cot":[{"info":"⩦⊞⋋%⋟3637=⋋%⋟-3304","layer":1},{"info":"⋋%⋟2713∠⫱⋋%⋟6468=⋋%⋟1621","layer":1},{"info":"⋋%⋟-3304⨎⋋%⋟1621=⋋%⋟1621","layer":0}]}
+{"id":875,"expression_no_base_symbol":"$1123$⨻⩈⩔$7269$+⇶⊼(⊗$4564$)","expression":"⋋%⋟1477⨻⩈⩔⋋%⋟10866+⇶⊼(⊗⋋%⋟6231)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":135,"operation_count":3,"complexity_ratio":45.0,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":1123,"base":9},"right_expr":{"type":"numeric_atoms","value":7269,"base":9}},"right_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"numeric_atoms","value":4564,"base":9}}},"used_operators":["TpPTUOHfaN","nEsXyWgiOK","RhiyfpczSx"],"dependent_operators":["AHs5Up7iyr","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1123","layer":2},{"info":"number node, value=7269","layer":2},{"info":"compute binary expreesion, left_input=1123, right_input=7269, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":1},{"info":"number node, value=4564","layer":2},{"info":"compute unary expreesion, input=4564, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-9128","layer":1},{"info":"compute binary expreesion, left_input=-174, right_input=-9128, 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":9,"result_base":9,"text":"⋋%⋟1477⨻⩈⩔⋋%⋟10866+⇶⊼(⊗⋋%⋟6231)=NaN","reverse_text":"NaN=⋋%⋟1477⨻⩈⩔⋋%⋟10866+⇶⊼(⊗⋋%⋟6231)","cot":[{"info":"⋋%⋟1477⨻⩈⩔⋋%⋟10866=⋋%⋟-213","layer":1},{"info":"⊗⋋%⋟6231=⋋%⋟-13462","layer":1},{"info":"⋋%⋟-213+⇶⊼⋋%⋟-13462=NaN","layer":0}]}
+{"id":876,"expression_no_base_symbol":"$1485$≬⇓$4137$⪉⨛$2162$⫁⪎$5202$","expression":"⋋%⋟2030≬⇓⋋%⋟5606⪉⨛⋋%⋟2862⫁⪎⋋%⋟7120","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":35,"operation_count":3,"complexity_ratio":11.666666666666666,"tree":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":1485,"base":9},"right_expr":{"type":"numeric_atoms","value":4137,"base":9}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":2162,"base":9},"right_expr":{"type":"numeric_atoms","value":5202,"base":9}}},"used_operators":["EWw2JM7wp4","jWTQ2TZYIH","xRrnTEsQ6j"],"dependent_operators":["NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI"],"result":"⋋%⋟13638","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1485","layer":2},{"info":"number node, value=4137","layer":2},{"info":"compute binary expreesion, left_input=1485, right_input=4137, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":1},{"info":"number node, value=2162","layer":2},{"info":"number node, value=5202","layer":2},{"info":"compute binary expreesion, left_input=2162, right_input=5202, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-3040","layer":1},{"info":"compute binary expreesion, left_input=-22, right_input=-3040, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=9269","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟2030≬⇓⋋%⋟5606⪉⨛⋋%⋟2862⫁⪎⋋%⋟7120=⋋%⋟13638","reverse_text":"⋋%⋟13638=⋋%⋟2030≬⇓⋋%⋟5606⪉⨛⋋%⋟2862⫁⪎⋋%⋟7120","cot":[{"info":"⋋%⋟2030≬⇓⋋%⋟5606=⋋%⋟-24","layer":1},{"info":"⋋%⋟2862⫁⪎⋋%⋟7120=⋋%⋟-4147","layer":1},{"info":"⋋%⋟-24⪉⨛⋋%⋟-4147=⋋%⋟13638","layer":0}]}
+{"id":877,"expression_no_base_symbol":"∤↝(⊀$1740$)","expression":"∤↝(⊀⋋%⋟2343)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":18,"operation_count":2,"complexity_ratio":9.0,"tree":{"type":"unary","operator":"∤↝","unary_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"numeric_atoms","value":1740,"base":9}}},"used_operators":["3UMq87Qwqg","oPMjh9089D"],"dependent_operators":["s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q"],"result":"⋋%⋟10162","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1740","layer":2},{"info":"compute unary expreesion, input=1740, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=6698","layer":1},{"info":"compute unary expreesion, input=6698, 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=6698","layer":0}],"base":9,"result_base":9,"text":"∤↝(⊀⋋%⋟2343)=⋋%⋟10162","reverse_text":"⋋%⋟10162=∤↝(⊀⋋%⋟2343)","cot":[{"info":"⊀⋋%⋟2343=⋋%⋟10162","layer":1},{"info":"∤↝⋋%⋟10162=⋋%⋟10162","layer":0}]}
+{"id":878,"expression_no_base_symbol":"($1594$∠↢$3711$)→⨶⪴($6698$⇪⋭)","expression":"(⋋%⋟2161∠↢⋋%⋟5073)→⨶⪴(⋋%⋟10162⇪⋭)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":37,"operation_count":3,"complexity_ratio":12.333333333333334,"tree":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":1594,"base":9},"right_expr":{"type":"numeric_atoms","value":3711,"base":9}},"right_expr":{"type":"unary","operator":"⇪⋭","unary_expr":{"type":"numeric_atoms","value":6698,"base":9}}},"used_operators":["bF6eod5Gvf","KbjG8mgYpV","Z8Yg6dlDSp"],"dependent_operators":["8w2t5hMYqp","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","T2fj7uvVaJ","5KTvxBwnZo","inkyxCbjAn"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1594","layer":2},{"info":"number node, value=3711","layer":2},{"info":"compute binary expreesion, left_input=1594, right_input=3711, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-57248","layer":1},{"info":"number node, value=6698","layer":2},{"info":"compute unary expreesion, input=6698, op_id = Z8Yg6dlDSp, unary_op_definition = 'a⇪⋭ = { ((a≒∊a)⋓(⇁⨣⪵a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-57248, right_input=nan, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟2161∠↢⋋%⋟5073)→⨶⪴(⋋%⋟10162⇪⋭)=NaN","reverse_text":"NaN=(⋋%⋟2161∠↢⋋%⋟5073)→⨶⪴(⋋%⋟10162⇪⋭)","cot":[{"info":"⋋%⋟2161∠↢⋋%⋟5073=⋋%⋟-86468","layer":1},{"info":"⋋%⋟10162⇪⋭=NaN","layer":1},{"info":"⋋%⋟-86468→⨶⪴NaN=NaN","layer":0}]}
+{"id":879,"expression_no_base_symbol":"(∜⨇$3779$)∴($1021$≓∲$4499$)","expression":"(∜⨇⋋%⋟5158)∴(⋋%⋟1354≓∲⋋%⋟6148)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":116,"operation_count":3,"complexity_ratio":38.666666666666664,"tree":{"type":"binary","operator":"∴","left_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"numeric_atoms","value":3779,"base":9}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":1021,"base":9},"right_expr":{"type":"numeric_atoms","value":4499,"base":9}}},"used_operators":["hrf7POJlIJ","uFPyJr306J","s1XTVnmDOJ"],"dependent_operators":["g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3779","layer":2},{"info":"compute unary expreesion, input=3779, op_id = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=nan","layer":1},{"info":"number node, value=1021","layer":2},{"info":"number node, value=4499","layer":2},{"info":"compute binary expreesion, left_input=1021, right_input=4499, 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=10993","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=10993, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(∜⨇⋋%⋟5158)∴(⋋%⋟1354≓∲⋋%⋟6148)=NaN","reverse_text":"NaN=(∜⨇⋋%⋟5158)∴(⋋%⋟1354≓∲⋋%⋟6148)","cot":[{"info":"∜⨇⋋%⋟5158=NaN","layer":1},{"info":"⋋%⋟1354≓∲⋋%⋟6148=⋋%⋟16064","layer":1},{"info":"NaN∴⋋%⋟16064=NaN","layer":0}]}
+{"id":880,"expression_no_base_symbol":"($8718$⇩)⋷(≇⪴$2631$)","expression":"(⋋%⋟12856⇩)⋷(≇⪴⋋%⋟3543)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":11,"operation_count":3,"complexity_ratio":3.6666666666666665,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⇩","unary_expr":{"type":"numeric_atoms","value":8718,"base":9}},"right_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"numeric_atoms","value":2631,"base":9}}},"used_operators":["23Mk6UjR3U","vRio1gEz1j","zoVPnxeHJ3"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C"],"result":"⋋%⋟-33052","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=8718","layer":2},{"info":"compute unary expreesion, input=8718, op_id = vRio1gEz1j, unary_op_definition = 'a⇩ = { (a+93) }', output=8811","layer":1},{"info":"number node, value=2631","layer":2},{"info":"compute unary expreesion, input=2631, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-6553","layer":1},{"info":"compute binary expreesion, left_input=8811, right_input=-6553, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-21917","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟12856⇩)⋷(≇⪴⋋%⋟3543)=⋋%⋟-33052","reverse_text":"⋋%⋟-33052=(⋋%⋟12856⇩)⋷(≇⪴⋋%⋟3543)","cot":[{"info":"⋋%⋟12856⇩=⋋%⋟13070","layer":1},{"info":"≇⪴⋋%⋟3543=⋋%⋟-8881","layer":1},{"info":"⋋%⋟13070⋷⋋%⋟-8881=⋋%⋟-33052","layer":0}]}
+{"id":881,"expression_no_base_symbol":"$1714$⊭↱$1104$⊭↱$6508$↼⊘⨖$1017$","expression":"⋋%⋟2314⊭↱⋋%⋟1456⊭↱⋋%⋟8831↼⊘⨖⋋%⋟1350","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":18,"operation_count":3,"complexity_ratio":6.0,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1714,"base":9},"right_expr":{"type":"numeric_atoms","value":1104,"base":9}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":6508,"base":9},"right_expr":{"type":"numeric_atoms","value":1017,"base":9}}},"used_operators":["COABgblf1C","bPywburJMS"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd"],"result":"⋋%⋟8272","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1714","layer":2},{"info":"number node, value=1104","layer":2},{"info":"compute binary expreesion, left_input=1714, right_input=1104, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-1215","layer":1},{"info":"number node, value=6508","layer":2},{"info":"number node, value=1017","layer":2},{"info":"compute binary expreesion, left_input=6508, right_input=1017, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=1812","layer":1},{"info":"compute binary expreesion, left_input=-1215, right_input=1812, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=6059","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟2314⊭↱⋋%⋟1456⊭↱⋋%⋟8831↼⊘⨖⋋%⋟1350=⋋%⋟8272","reverse_text":"⋋%⋟8272=⋋%⋟2314⊭↱⋋%⋟1456⊭↱⋋%⋟8831↼⊘⨖⋋%⋟1350","cot":[{"info":"⋋%⋟2314⊭↱⋋%⋟1456=⋋%⋟-1600","layer":1},{"info":"⋋%⋟8831↼⊘⨖⋋%⋟1350=⋋%⋟2433","layer":1},{"info":"⋋%⋟-1600⊭↱⋋%⋟2433=⋋%⋟8272","layer":0}]}
+{"id":882,"expression_no_base_symbol":"$1045$≁↽≥$1599$⋥⋵⩄($1439$⊋≦⊧$1942$)","expression":"⋋%⋟1381≁↽≥⋋%⋟2166⋥⋵⩄(⋋%⋟1868⊋≦⊧⋋%⋟2587)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":74,"operation_count":3,"complexity_ratio":24.666666666666668,"tree":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":1045,"base":9},"right_expr":{"type":"numeric_atoms","value":1599,"base":9}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":1439,"base":9},"right_expr":{"type":"numeric_atoms","value":1942,"base":9}}},"used_operators":["7t3wd0Fuz7","ncHt1X6cMc","oRDoc9rAEX"],"dependent_operators":["IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","oWn0xqSxBt","3Oe9XWJUTD","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC"],"result":"⋋%⋟-32250","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1045","layer":2},{"info":"number node, value=1599","layer":2},{"info":"compute binary expreesion, left_input=1045, right_input=1599, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=25607","layer":1},{"info":"number node, value=1439","layer":2},{"info":"number node, value=1942","layer":2},{"info":"compute binary expreesion, left_input=1439, right_input=1942, 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=-3141","layer":1},{"info":"compute binary expreesion, left_input=25607, right_input=-3141, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=-21348","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟1381≁↽≥⋋%⋟2166⋥⋵⩄(⋋%⋟1868⊋≦⊧⋋%⋟2587)=⋋%⋟-32250","reverse_text":"⋋%⋟-32250=⋋%⋟1381≁↽≥⋋%⋟2166⋥⋵⩄(⋋%⋟1868⊋≦⊧⋋%⋟2587)","cot":[{"info":"⋋%⋟1381≁↽≥⋋%⋟2166=⋋%⋟38112","layer":1},{"info":"⋋%⋟1868⊋≦⊧⋋%⋟2587=⋋%⋟-4270","layer":1},{"info":"⋋%⋟38112⋥⋵⩄⋋%⋟-4270=⋋%⋟-32250","layer":0}]}
+{"id":883,"expression_no_base_symbol":"$2169$⨽∌$6021$⪒⊣⊆($5504$⋻⩜⩜$1203$)","expression":"⋋%⋟2870⨽∌⋋%⋟8230⪒⊣⊆(⋋%⋟7485⋻⩜⩜⋋%⋟1576)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":16910,"operation_count":3,"complexity_ratio":5636.666666666667,"tree":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":2169,"base":9},"right_expr":{"type":"numeric_atoms","value":6021,"base":9}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":5504,"base":9},"right_expr":{"type":"numeric_atoms","value":1203,"base":9}}},"used_operators":["eRqsBgTDFp","9samAPKr6k","oDCm7WA9JY"],"dependent_operators":["sdazOOVcIp","W4YGzv6Whe","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE"],"result":"⋋%⋟33305","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2169","layer":2},{"info":"number node, value=6021","layer":2},{"info":"compute binary expreesion, left_input=2169, right_input=6021, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":1},{"info":"number node, value=5504","layer":2},{"info":"number node, value=1203","layer":2},{"info":"compute binary expreesion, left_input=5504, right_input=1203, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=11008","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=11008, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=22118","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟2870⨽∌⋋%⋟8230⪒⊣⊆(⋋%⋟7485⋻⩜⩜⋋%⋟1576)=⋋%⋟33305","reverse_text":"⋋%⋟33305=⋋%⋟2870⨽∌⋋%⋟8230⪒⊣⊆(⋋%⋟7485⋻⩜⩜⋋%⋟1576)","cot":[{"info":"⋋%⋟2870⨽∌⋋%⋟8230=⋋%⋟0","layer":1},{"info":"⋋%⋟7485⋻⩜⩜⋋%⋟1576=⋋%⋟16081","layer":1},{"info":"⋋%⋟0⪒⊣⊆⋋%⋟16081=⋋%⋟33305","layer":0}]}
+{"id":884,"expression_no_base_symbol":"($2972$⊟⇱)⪔⊥($1577$⩍⋽⫝̸$3958$)","expression":"(⋋%⋟4062⊟⇱)⪔⊥(⋋%⋟2142⩍⋽⫝̸⋋%⋟5377)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":32,"operation_count":3,"complexity_ratio":10.666666666666666,"tree":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"unary","operator":"⊟⇱","unary_expr":{"type":"numeric_atoms","value":2972,"base":9}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":1577,"base":9},"right_expr":{"type":"numeric_atoms","value":3958,"base":9}}},"used_operators":["HJ9erzHUuu","03sUfWo75k","BiWNJpBvwn"],"dependent_operators":["eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","IWmyXbctLI","Ph9nP6C5qx","xUOZtlo3hN"],"result":"⋋%⋟27727","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2972","layer":2},{"info":"compute unary expreesion, input=2972, op_id = 03sUfWo75k, unary_op_definition = 'a⊟⇱ = { (a⪮%⊝a) }', output=6260","layer":1},{"info":"number node, value=1577","layer":2},{"info":"number node, value=3958","layer":2},{"info":"compute binary expreesion, left_input=1577, right_input=3958, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=3012","layer":1},{"info":"compute binary expreesion, left_input=6260, right_input=3012, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=18817","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟4062⊟⇱)⪔⊥(⋋%⋟2142⩍⋽⫝̸⋋%⋟5377)=⋋%⋟27727","reverse_text":"⋋%⋟27727=(⋋%⋟4062⊟⇱)⪔⊥(⋋%⋟2142⩍⋽⫝̸⋋%⋟5377)","cot":[{"info":"⋋%⋟4062⊟⇱=⋋%⋟8525","layer":1},{"info":"⋋%⋟2142⩍⋽⫝̸⋋%⋟5377=⋋%⋟4116","layer":1},{"info":"⋋%⋟8525⪔⊥⋋%⋟4116=⋋%⋟27727","layer":0}]}
+{"id":885,"expression_no_base_symbol":"$4260$∓⋝$6537$+⪬∐($4968$∼$2093$)","expression":"⋋%⋟5753∓⋝⋋%⋟8863+⪬∐(⋋%⋟6730∼⋋%⋟2775)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":139,"operation_count":3,"complexity_ratio":46.333333333333336,"tree":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":4260,"base":9},"right_expr":{"type":"numeric_atoms","value":6537,"base":9}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":4968,"base":9},"right_expr":{"type":"numeric_atoms","value":2093,"base":9}}},"used_operators":["2GS7woTJqF","PoHhknlbAi","DyGG3AbaNP"],"dependent_operators":["g55IO6H4Gj","D4vGDi5EA2","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"⋋%⋟-243","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=4260","layer":2},{"info":"number node, value=6537","layer":2},{"info":"compute binary expreesion, left_input=4260, right_input=6537, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":1},{"info":"number node, value=4968","layer":2},{"info":"number node, value=2093","layer":2},{"info":"compute binary expreesion, left_input=4968, right_input=2093, 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=67, right_input=nan, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-201","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟5753∓⋝⋋%⋟8863+⪬∐(⋋%⋟6730∼⋋%⋟2775)=⋋%⋟-243","reverse_text":"⋋%⋟-243=⋋%⋟5753∓⋝⋋%⋟8863+⪬∐(⋋%⋟6730∼⋋%⋟2775)","cot":[{"info":"⋋%⋟5753∓⋝⋋%⋟8863=⋋%⋟74","layer":1},{"info":"⋋%⋟6730∼⋋%⋟2775=NaN","layer":1},{"info":"⋋%⋟74+⪬∐NaN=⋋%⋟-243","layer":0}]}
+{"id":886,"expression_no_base_symbol":"≘($2846$*$2288$)","expression":"≘(⋋%⋟3812*⋋%⋟3122)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":2490,"operation_count":2,"complexity_ratio":1245.0,"tree":{"type":"unary","operator":"≘","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2846,"base":9},"right_expr":{"type":"numeric_atoms","value":2288,"base":9}}},"used_operators":["tcjXMdvYtA","9HNa5Wba9A"],"dependent_operators":["XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2846","layer":2},{"info":"number node, value=2288","layer":2},{"info":"compute binary expreesion, left_input=2846, right_input=2288, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=6511648","layer":1},{"info":"compute unary expreesion, input=6511648, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"≘(⋋%⋟3812*⋋%⋟3122)=NaN","reverse_text":"NaN=≘(⋋%⋟3812*⋋%⋟3122)","cot":[{"info":"⋋%⋟3812*⋋%⋟3122=⋋%⋟13224264","layer":1},{"info":"≘⋋%⋟13224264=NaN","layer":0}]}
+{"id":887,"expression_no_base_symbol":"($4360$⋝⋈⪟$1670$)≹⇙⪍($1719$⪔$1564$)","expression":"(⋋%⋟5874⋝⋈⪟⋋%⋟2255)≹⇙⪍(⋋%⋟2320⪔⋋%⋟2127)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":204401,"operation_count":3,"complexity_ratio":68133.66666666667,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":4360,"base":9},"right_expr":{"type":"numeric_atoms","value":1670,"base":9}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":1719,"base":9},"right_expr":{"type":"numeric_atoms","value":1564,"base":9}}},"used_operators":["AHs5Up7iyr","2DDjHMKMc0","GjBEYRfMaF"],"dependent_operators":["dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=4360","layer":2},{"info":"number node, value=1670","layer":2},{"info":"compute binary expreesion, left_input=4360, right_input=1670, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4360","layer":1},{"info":"number node, value=1719","layer":2},{"info":"number node, value=1564","layer":2},{"info":"compute binary expreesion, left_input=1719, right_input=1564, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":1},{"info":"compute binary expreesion, left_input=4360, right_input=450, 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":9,"result_base":9,"text":"(⋋%⋟5874⋝⋈⪟⋋%⋟2255)≹⇙⪍(⋋%⋟2320⪔⋋%⋟2127)=NaN","reverse_text":"NaN=(⋋%⋟5874⋝⋈⪟⋋%⋟2255)≹⇙⪍(⋋%⋟2320⪔⋋%⋟2127)","cot":[{"info":"⋋%⋟5874⋝⋈⪟⋋%⋟2255=⋋%⋟5874","layer":1},{"info":"⋋%⋟2320⪔⋋%⋟2127=⋋%⋟550","layer":1},{"info":"⋋%⋟5874≹⇙⪍⋋%⋟550=NaN","layer":0}]}
+{"id":888,"expression_no_base_symbol":"(↩⪖$6179$)⊊","expression":"(↩⪖⋋%⋟8425)⊊","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":282,"operation_count":2,"complexity_ratio":141.0,"tree":{"type":"unary","operator":"⊊","unary_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"numeric_atoms","value":6179,"base":9}}},"used_operators":["W9R8I5fN5A","fG6uBQFnGz"],"dependent_operators":["DlLNRPXxWL","aBQ6xLxuTc","8n5YIzOsVS","oZj3VtZNQx","MahUMFw56D","hyuBjUqXlG","aA7tF3KVD3","2DDjHMKMc0","QMFrweE19q","SxTAKzQCrw","8cLx32lpNA","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q"],"result":"⋋%⋟147650","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=6179","layer":2},{"info":"compute unary expreesion, input=6179, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-40056","layer":1},{"info":"compute unary expreesion, input=-40056, 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":0}],"base":9,"result_base":9,"text":"(↩⪖⋋%⋟8425)⊊=⋋%⋟147650","reverse_text":"⋋%⋟147650=(↩⪖⋋%⋟8425)⊊","cot":[{"info":"↩⪖⋋%⋟8425=⋋%⋟-60846","layer":1},{"info":"⋋%⋟-60846⊊=⋋%⋟147650","layer":0}]}
+{"id":889,"expression_no_base_symbol":"($1652$⨎$4031$)⩠","expression":"(⋋%⋟2235⨎⋋%⋟5468)⩠","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":19,"operation_count":2,"complexity_ratio":9.5,"tree":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1652,"base":9},"right_expr":{"type":"numeric_atoms","value":4031,"base":9}}},"used_operators":["sJAwomhLZr","rJVOvQCfKK"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"⋋%⋟0","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1652","layer":2},{"info":"number node, value=4031","layer":2},{"info":"compute binary expreesion, left_input=1652, right_input=4031, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4031","layer":1},{"info":"compute unary expreesion, input=4031, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟2235⨎⋋%⋟5468)⩠=⋋%⋟0","reverse_text":"⋋%⋟0=(⋋%⋟2235⨎⋋%⋟5468)⩠","cot":[{"info":"⋋%⋟2235⨎⋋%⋟5468=⋋%⋟5468","layer":1},{"info":"⋋%⋟5468⩠=⋋%⋟0","layer":0}]}
+{"id":890,"expression_no_base_symbol":"(⨂⪏⇭$4468$)⫭","expression":"(⨂⪏⇭⋋%⋟6114)⫭","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":27,"operation_count":2,"complexity_ratio":13.5,"tree":{"type":"unary","operator":"⫭","unary_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"numeric_atoms","value":4468,"base":9}}},"used_operators":["t4WUHVGj7f","AYdpE9sXAk"],"dependent_operators":["NTOWxs364D","2DDjHMKMc0","xUOZtlo3hN","g55IO6H4Gj","eewbuw0ToL","NTOWxs364D","EBcxylXtPf"],"result":"⋋%⋟56414","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=4468","layer":2},{"info":"compute unary expreesion, input=4468, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=12425","layer":1},{"info":"compute unary expreesion, input=12425, op_id = t4WUHVGj7f, unary_op_definition = 'a⫭ = { (⨞⊢((a⨸⪁147)⩚⊴⇥(a⋝⋈⪟a))) }', output=37516","layer":0}],"base":9,"result_base":9,"text":"(⨂���⇭⋋%⋟6114)⫭=⋋%⋟56414","reverse_text":"⋋%⋟56414=(⨂⪏⇭⋋%⋟6114)⫭","cot":[{"info":"⨂⪏⇭⋋%⋟6114=⋋%⋟18035","layer":1},{"info":"⋋%⋟18035⫭=⋋%⋟56414","layer":0}]}
+{"id":891,"expression_no_base_symbol":"$1291$↡⊰⫅$6517$⊭↱$1145$⫣⪄⊒$1324$","expression":"⋋%⋟1684↡⊰⫅⋋%⋟8841⊭↱⋋%⋟1512⫣⪄⊒⋋%⋟1731","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":91287,"operation_count":3,"complexity_ratio":30429.0,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":1291,"base":9},"right_expr":{"type":"numeric_atoms","value":6517,"base":9}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":1145,"base":9},"right_expr":{"type":"numeric_atoms","value":1324,"base":9}}},"used_operators":["COABgblf1C","VCtxkLNOzz","RabNbG55vr"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI"],"result":"⋋%⋟-57601","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1291","layer":2},{"info":"number node, value=6517","layer":2},{"info":"compute binary expreesion, left_input=1291, right_input=6517, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=13034","layer":1},{"info":"number node, value=1145","layer":2},{"info":"number node, value=1324","layer":2},{"info":"compute binary expreesion, left_input=1145, right_input=1324, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-6166","layer":1},{"info":"compute binary expreesion, left_input=13034, right_input=-6166, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-38395","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟1684↡⊰⫅⋋%⋟8841⊭↱⋋%⋟1512⫣⪄⊒⋋%⋟1731=⋋%⋟-57601","reverse_text":"⋋%⋟-57601=⋋%⋟1684↡⊰⫅⋋%⋟8841⊭↱⋋%⋟1512⫣⪄⊒⋋%⋟1731","cot":[{"info":"⋋%⋟1684↡⊰⫅⋋%⋟8841=⋋%⋟18782","layer":1},{"info":"⋋%⋟1512⫣⪄⊒⋋%⋟1731=⋋%⋟-8411","layer":1},{"info":"⋋%⋟18782⊭↱⋋%⋟-8411=⋋%⋟-57601","layer":0}]}
+{"id":892,"expression_no_base_symbol":"$2932$≧⫂∧$1034$≧⫂∧$2219$⩍⋽⫝̸$1990$","expression":"⋋%⋟4017≧⫂∧⋋%⋟1368≧⫂∧⋋%⋟3035⩍⋽⫝̸⋋%⋟2651","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":6,"operation_count":3,"complexity_ratio":2.0,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2932,"base":9},"right_expr":{"type":"numeric_atoms","value":1034,"base":9}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":2219,"base":9},"right_expr":{"type":"numeric_atoms","value":1990,"base":9}}},"used_operators":["Ph9nP6C5qx","BiWNJpBvwn"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","Ph9nP6C5qx","xUOZtlo3hN"],"result":"⋋%⋟704","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=2932","layer":2},{"info":"number node, value=1034","layer":2},{"info":"compute binary expreesion, left_input=2932, right_input=1034, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=561","layer":1},{"info":"number node, value=2219","layer":2},{"info":"number node, value=1990","layer":2},{"info":"compute binary expreesion, left_input=2219, right_input=1990, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=1044","layer":1},{"info":"compute binary expreesion, left_input=561, right_input=1044, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=571","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟4017≧⫂∧⋋%⋟1368≧⫂∧⋋%⋟3035⩍⋽⫝̸⋋%⋟2651=⋋%⋟704","reverse_text":"⋋%⋟704=⋋%⋟4017≧⫂∧⋋%⋟1368≧⫂∧⋋%⋟3035⩍⋽⫝̸⋋%⋟2651","cot":[{"info":"⋋%⋟4017≧⫂∧⋋%⋟1368=⋋%⋟683","layer":1},{"info":"⋋%⋟3035⩍⋽⫝̸⋋%⋟2651=⋋%⋟1380","layer":1},{"info":"⋋%⋟683≧⫂∧⋋%⋟1380=⋋%⋟704","layer":0}]}
+{"id":893,"expression_no_base_symbol":"($1036$⪉⨛$2385$)↬($1023$⫭)","expression":"(⋋%⋟1371⪉⨛⋋%⋟3240)↬(⋋%⋟1356⫭)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":35,"operation_count":3,"complexity_ratio":11.666666666666666,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":1036,"base":9},"right_expr":{"type":"numeric_atoms","value":2385,"base":9}},"right_expr":{"type":"unary","operator":"⫭","unary_expr":{"type":"numeric_atoms","value":1023,"base":9}}},"used_operators":["B5M0gjZbta","EWw2JM7wp4","t4WUHVGj7f"],"dependent_operators":["rGHVDoGpnC","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","NTOWxs364D","2DDjHMKMc0","xUOZtlo3hN","g55IO6H4Gj"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1036","layer":2},{"info":"number node, value=2385","layer":2},{"info":"compute binary expreesion, left_input=1036, right_input=2385, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=938","layer":1},{"info":"number node, value=1023","layer":2},{"info":"compute unary expreesion, input=1023, op_id = t4WUHVGj7f, unary_op_definition = 'a⫭ = { (⨞⊢((a⨸⪁147)⩚⊴⇥(a⋝⋈⪟a))) }', output=3310","layer":1},{"info":"compute binary expreesion, left_input=938, right_input=3310, 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":9,"result_base":9,"text":"(⋋%⋟1371⪉⨛⋋%⋟3240)↬(⋋%⋟1356⫭)=NaN","reverse_text":"NaN=(⋋%⋟1371⪉⨛⋋%⋟3240)↬(⋋%⋟1356⫭)","cot":[{"info":"⋋%⋟1371⪉⨛⋋%⋟3240=⋋%⋟1252","layer":1},{"info":"⋋%⋟1356⫭=⋋%⋟4477","layer":1},{"info":"⋋%⋟1252↬⋋%⋟4477=NaN","layer":0}]}
+{"id":894,"expression_no_base_symbol":"≘(⇈$2203$)","expression":"≘(⇈⋋%⋟3017)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1218,"operation_count":2,"complexity_ratio":609.0,"tree":{"type":"unary","operator":"≘","unary_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"numeric_atoms","value":2203,"base":9}}},"used_operators":["tcjXMdvYtA","SLLxy00UIr"],"dependent_operators":["XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ"],"result":"⋋%⋟440158","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2203","layer":2},{"info":"compute unary expreesion, input=2203, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":1},{"info":"compute unary expreesion, input=-447, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=262574","layer":0}],"base":9,"result_base":9,"text":"≘(⇈⋋%⋟3017)=⋋%⋟440158","reverse_text":"⋋%⋟440158=≘(⇈⋋%⋟3017)","cot":[{"info":"⇈⋋%⋟3017=⋋%⋟-546","layer":1},{"info":"≘⋋%⋟-546=⋋%⋟440158","layer":0}]}
+{"id":895,"expression_no_base_symbol":"($2372$⪁$8364$)⨽∌(⩩$2415$)","expression":"(⋋%⋟3225⪁⋋%⋟12423)⨽∌(⩩⋋%⋟3273)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":14169,"operation_count":3,"complexity_ratio":4723.0,"tree":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":2372,"base":9},"right_expr":{"type":"numeric_atoms","value":8364,"base":9}},"right_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"numeric_atoms","value":2415,"base":9}}},"used_operators":["9samAPKr6k","I7sXao9hZE","kMhfGuqI2H"],"dependent_operators":["YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=2372","layer":2},{"info":"number node, value=8364","layer":2},{"info":"compute binary expreesion, left_input=2372, right_input=8364, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":1},{"info":"number node, value=2415","layer":2},{"info":"compute unary expreesion, input=2415, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":1},{"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":0}],"base":9,"result_base":9,"text":"(⋋%⋟3225⪁⋋%⋟12423)⨽∌(⩩⋋%⋟3273)=NaN","reverse_text":"NaN=(⋋%⋟3225⪁⋋%⋟12423)⨽∌(⩩⋋%⋟3273)","cot":[{"info":"⋋%⋟3225⪁⋋%⋟12423=NaN","layer":1},{"info":"⩩⋋%⋟3273=NaN","layer":1},{"info":"NaN⨽∌NaN=NaN","layer":0}]}
+{"id":896,"expression_no_base_symbol":"$1440$⫞⩸⩒$1578$⨎($1278$⨎$1274$)","expression":"⋋%⋟1870⫞⩸⩒⋋%⋟2143⨎(⋋%⋟1670⨎⋋%⋟1665)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":18,"operation_count":3,"complexity_ratio":6.0,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":1440,"base":9},"right_expr":{"type":"numeric_atoms","value":1578,"base":9}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1278,"base":9},"right_expr":{"type":"numeric_atoms","value":1274,"base":9}}},"used_operators":["rJVOvQCfKK","XGcMNugi78"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK"],"result":"⋋%⋟1665","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1440","layer":2},{"info":"number node, value=1578","layer":2},{"info":"compute binary expreesion, left_input=1440, right_input=1578, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=1578","layer":1},{"info":"number node, value=1278","layer":2},{"info":"number node, value=1274","layer":2},{"info":"compute binary expreesion, left_input=1278, right_input=1274, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1274","layer":1},{"info":"compute binary expreesion, left_input=1578, right_input=1274, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1274","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟1870⫞⩸⩒⋋%⋟2143⨎(⋋%⋟1670⨎⋋%⋟1665)=⋋%⋟1665","reverse_text":"⋋%⋟1665=⋋%⋟1870⫞⩸⩒⋋%⋟2143⨎(⋋%⋟1670⨎⋋%⋟1665)","cot":[{"info":"⋋%⋟1870⫞⩸⩒⋋%⋟2143=⋋%⋟2143","layer":1},{"info":"⋋%⋟1670⨎⋋%⋟1665=⋋%⋟1665","layer":1},{"info":"⋋%⋟2143⨎⋋%⋟1665=⋋%⋟1665","layer":0}]}
+{"id":897,"expression_no_base_symbol":"$3460$⊴$4255$≄⊠(↣≠⋷$6604$)","expression":"⋋%⋟4664⊴⋋%⋟5747≄⊠(↣≠⋷⋋%⋟10047)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4343,"operation_count":3,"complexity_ratio":1447.6666666666667,"tree":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3460,"base":9},"right_expr":{"type":"numeric_atoms","value":4255,"base":9}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":6604,"base":9}}},"used_operators":["vXNesLlMH1","Nsiff2A1zJ","Asc51vEJeQ"],"dependent_operators":["d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","dWAJyo7jo9","14qkJME0vr","XhwjNDsVaA","AHs5Up7iyr"],"result":"⋋%⋟2046","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=3460","layer":2},{"info":"number node, value=4255","layer":2},{"info":"compute binary expreesion, left_input=3460, right_input=4255, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=6604","layer":2},{"info":"compute unary expreesion, input=6604, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', 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":9,"result_base":9,"text":"⋋%⋟4664⊴⋋%⋟5747≄⊠(↣≠⋷⋋%⋟10047)=⋋%⋟2046","reverse_text":"⋋%⋟2046=⋋%⋟4664⊴⋋%⋟5747≄⊠(↣≠⋷⋋%⋟10047)","cot":[{"info":"⋋%⋟4664⊴⋋%⋟5747=NaN","layer":1},{"info":"↣≠⋷⋋%⋟10047=NaN","layer":1},{"info":"NaN≄⊠NaN=⋋%⋟2046","layer":0}]}
+{"id":898,"expression_no_base_symbol":"⫯($2919$⨶)","expression":"⫯(⋋%⋟4003⨶)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":59,"operation_count":2,"complexity_ratio":29.5,"tree":{"type":"unary","operator":"⫯","unary_expr":{"type":"unary","operator":"⨶","unary_expr":{"type":"numeric_atoms","value":2919,"base":9}}},"used_operators":["H6BK1Evt7c","rFxw8gIMmB"],"dependent_operators":["2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","f6k1SAg4EE","Qy55tPpLXF"],"result":"⋋%⋟-258418","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2919","layer":2},{"info":"compute unary expreesion, input=2919, op_id = rFxw8gIMmB, unary_op_definition = 'a⨶ = { ((a⋥≓≎303)⪒(a⋥≓≎537)) }', output=4092","layer":1},{"info":"compute unary expreesion, input=4092, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=-157076","layer":0}],"base":9,"result_base":9,"text":"⫯(⋋%⋟4003⨶)=⋋%⋟-258418","reverse_text":"⋋%⋟-258418=⫯(⋋%⋟4003⨶)","cot":[{"info":"⋋%⋟4003⨶=⋋%⋟5546","layer":1},{"info":"⫯⋋%⋟5546=⋋%⋟-258418","layer":0}]}
+{"id":899,"expression_no_base_symbol":"$3852$≹⇙⪍$1700$⩇∃⫛($3535$⋭≵$2020$)","expression":"⋋%⋟5250≹⇙⪍⋋%⋟2288⩇∃⫛(⋋%⋟4757⋭≵⋋%⋟2684)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":69,"operation_count":3,"complexity_ratio":23.0,"tree":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":3852,"base":9},"right_expr":{"type":"numeric_atoms","value":1700,"base":9}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":3535,"base":9},"right_expr":{"type":"numeric_atoms","value":2020,"base":9}}},"used_operators":["1aApVXNlOP","AHs5Up7iyr","jBncVCNhdl"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","dWAJyo7jo9","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=3852","layer":2},{"info":"number node, value=1700","layer":2},{"info":"compute binary expreesion, left_input=3852, right_input=1700, 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=3535","layer":2},{"info":"number node, value=2020","layer":2},{"info":"compute binary expreesion, left_input=3535, right_input=2020, 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 = 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":9,"result_base":9,"text":"⋋%⋟5250≹⇙⪍⋋%⋟2288⩇∃⫛(⋋%⋟4757⋭≵⋋%⋟2684)=NaN","reverse_text":"NaN=⋋%⋟5250≹⇙⪍⋋%⋟2288⩇∃⫛(⋋%⋟4757⋭≵⋋%⋟2684)","cot":[{"info":"⋋%⋟5250≹⇙⪍⋋%⋟2288=NaN","layer":1},{"info":"⋋%⋟4757⋭≵⋋%⋟2684=⋋%⋟74","layer":1},{"info":"NaN⩇∃⫛⋋%⋟74=NaN","layer":0}]}
+{"id":900,"expression_no_base_symbol":"$1111$⋹⋡⊁$5453$⨔⇊$4878$≴⪞⇿$1868$","expression":"⋋%⋟1464⋹⋡⊁⋋%⋟7428⨔⇊⋋%⋟6620≴⪞⇿⋋%⋟2505","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":67175,"operation_count":3,"complexity_ratio":22391.666666666668,"tree":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":1111,"base":9},"right_expr":{"type":"numeric_atoms","value":5453,"base":9}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":4878,"base":9},"right_expr":{"type":"numeric_atoms","value":1868,"base":9}}},"used_operators":["JclMnS0uGI","As8RqfVLgs","lvlrscuwVU"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP"],"result":"⋋%⋟87722640","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1111","layer":2},{"info":"number node, value=5453","layer":2},{"info":"compute binary expreesion, left_input=1111, right_input=5453, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=6203","layer":1},{"info":"number node, value=4878","layer":2},{"info":"number node, value=1868","layer":2},{"info":"compute binary expreesion, left_input=4878, right_input=1868, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=42412284","layer":1},{"info":"compute binary expreesion, left_input=6203, right_input=42412284, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=42412284","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟1464⋹⋡⊁⋋%⋟7428⨔⇊⋋%⋟6620≴⪞⇿⋋%⋟2505=⋋%⋟87722640","reverse_text":"⋋%⋟87722640=⋋%⋟1464⋹⋡⊁⋋%⋟7428⨔⇊⋋%⋟6620≴⪞⇿⋋%⋟2505","cot":[{"info":"⋋%⋟1464⋹⋡⊁⋋%⋟7428=⋋%⋟8452","layer":1},{"info":"⋋%⋟6620≴⪞⇿⋋%⋟2505=⋋%⋟87722640","layer":1},{"info":"⋋%⋟8452⨔⇊⋋%⋟87722640=⋋%⋟87722640","layer":0}]}
+{"id":901,"expression_no_base_symbol":"$4088$⪟⇏$1013$≳⇉$1058$⨚⇆$3054$","expression":"⋋%⋟5542⪟⇏⋋%⋟1345≳⇉⋋%⋟1405⨚⇆⋋%⋟4163","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7521,"operation_count":3,"complexity_ratio":2507.0,"tree":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":4088,"base":9},"right_expr":{"type":"numeric_atoms","value":1013,"base":9}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":1058,"base":9},"right_expr":{"type":"numeric_atoms","value":3054,"base":9}}},"used_operators":["V0kx6qeWkN","GODebY97qR","lwHaAYXP2r"],"dependent_operators":["KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=4088","layer":2},{"info":"number node, value=1013","layer":2},{"info":"compute binary expreesion, left_input=4088, right_input=1013, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":1},{"info":"number node, value=1058","layer":2},{"info":"number node, value=3054","layer":2},{"info":"compute binary expreesion, left_input=1058, right_input=3054, 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=-1, 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":9,"result_base":9,"text":"⋋%⋟5542⪟⇏⋋%⋟1345≳⇉⋋%⋟1405⨚⇆⋋%⋟4163=NaN","reverse_text":"NaN=⋋%⋟5542⪟⇏⋋%⋟1345≳⇉⋋%⋟1405⨚⇆⋋%⋟4163","cot":[{"info":"⋋%⋟5542⪟⇏⋋%⋟1345=⋋%⋟-1","layer":1},{"info":"⋋%⋟1405⨚⇆⋋%⋟4163=NaN","layer":1},{"info":"⋋%⋟-1≳⇉NaN=NaN","layer":0}]}
+{"id":902,"expression_no_base_symbol":"($3211$∵≐)⨌↪","expression":"(⋋%⋟4357∵≐)⨌↪","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":18,"operation_count":2,"complexity_ratio":9.0,"tree":{"type":"unary","operator":"⨌↪","unary_expr":{"type":"unary","operator":"∵≐","unary_expr":{"type":"numeric_atoms","value":3211,"base":9}}},"used_operators":["cWQsF5MvuD","59igzFyhWz"],"dependent_operators":["8w2t5hMYqp","2DQ55sFlQl","i8ToyICDmI","QMFrweE19q","W4YGzv6Whe","DZ8iAZOCBD","8w2t5hMYqp","Ph9nP6C5qx","12rbrZMWeM"],"result":"⋋%⋟-583","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=3211","layer":2},{"info":"compute unary expreesion, input=3211, op_id = 59igzFyhWz, unary_op_definition = 'a∵≐ = { ((a⊉≛↸31)⋳⪒(101+a)) , if a<=828 ; ((⊄⩳↩a)≧⫂∧(a≧⫂∧a)) , else }', output=2265","layer":1},{"info":"compute unary expreesion, input=2265, op_id = cWQsF5MvuD, unary_op_definition = 'a⨌↪ = { (⊄⩳↩((a∲⫓a)⨵⪆(a⫡⨏a))) }', output=-480","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟4357∵≐)⨌↪=⋋%⋟-583","reverse_text":"⋋%⋟-583=(⋋%⋟4357∵≐)⨌↪","cot":[{"info":"⋋%⋟4357∵≐=⋋%⋟3086","layer":1},{"info":"⋋%⋟3086⨌↪=⋋%⋟-583","layer":0}]}
+{"id":903,"expression_no_base_symbol":"($5139$⨻⩈⩔$1063$)↯⫤","expression":"(⋋%⋟7040⨻⩈⩔⋋%⋟1411)↯⫤","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":128,"operation_count":2,"complexity_ratio":64.0,"tree":{"type":"unary","operator":"↯⫤","unary_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":5139,"base":9},"right_expr":{"type":"numeric_atoms","value":1063,"base":9}}},"used_operators":["VwlE7vj6HS","nEsXyWgiOK"],"dependent_operators":["W4YGzv6Whe","23Mk6UjR3U","tifHPKVTfV","glklzrTFfD","eH2TOUuTDT","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","g55IO6H4Gj","nCS4ZIUYfx","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG"],"result":"⋋%⋟0","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=5139","layer":2},{"info":"number node, value=1063","layer":2},{"info":"compute binary expreesion, left_input=5139, right_input=1063, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=32711","layer":1},{"info":"compute unary expreesion, input=32711, 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":0}],"base":9,"result_base":9,"text":"(⋋%⋟7040⨻⩈⩔⋋%⋟1411)↯⫤=⋋%⋟0","reverse_text":"⋋%⋟0=(⋋%⋟7040⨻��⩔⋋%⋟1411)↯⫤","cot":[{"info":"⋋%⋟7040⨻⩈⩔⋋%⋟1411=⋋%⋟48775","layer":1},{"info":"⋋%⋟48775↯⫤=⋋%⋟0","layer":0}]}
+{"id":904,"expression_no_base_symbol":"$3255$⫃⨇$1848$⇼⇔∾(≀↧⇸$2389$)","expression":"⋋%⋟4416⫃⨇⋋%⋟2473⇼⇔∾(≀↧⇸⋋%⋟3244)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":19,"operation_count":3,"complexity_ratio":6.333333333333333,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":3255,"base":9},"right_expr":{"type":"numeric_atoms","value":1848,"base":9}},"right_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"numeric_atoms","value":2389,"base":9}}},"used_operators":["tifHPKVTfV","09Ly4LVMIf","ljTHtUsqzn"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","XPYlsWDdGa","23Mk6UjR3U"],"result":"⋋%⋟17657","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3255","layer":2},{"info":"number node, value=1848","layer":2},{"info":"compute binary expreesion, left_input=3255, right_input=1848, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-7424","layer":1},{"info":"number node, value=2389","layer":2},{"info":"compute unary expreesion, input=2389, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=4778","layer":1},{"info":"compute binary expreesion, left_input=-7424, right_input=4778, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=12202","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟4416⫃⨇⋋%⋟2473⇼⇔∾(≀↧⇸⋋%⋟3244)=⋋%⋟17657","reverse_text":"⋋%⋟17657=⋋%⋟4416⫃⨇⋋%⋟2473⇼⇔∾(≀↧⇸⋋%⋟3244)","cot":[{"info":"⋋%⋟4416⫃⨇⋋%⋟2473=⋋%⋟-11158","layer":1},{"info":"≀↧⇸⋋%⋟3244=⋋%⋟6488","layer":1},{"info":"⋋%⋟-11158⇼⇔∾⋋%⋟6488=⋋%⋟17657","layer":0}]}
+{"id":905,"expression_no_base_symbol":"$3957$⋅⇍$5998$∀⋜↑","expression":"⋋%⋟5376⋅⇍⋋%⋟8204∀⋜↑","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":10,"operation_count":2,"complexity_ratio":5.0,"tree":{"type":"unary","operator":"∀⋜↑","unary_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":3957,"base":9},"right_expr":{"type":"numeric_atoms","value":5998,"base":9}}},"used_operators":["KipPnG1M2J","AdZkA7nFnk"],"dependent_operators":["eLAdDNolq6","23Mk6UjR3U","f6k1SAg4EE","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6"],"result":"⋋%⋟-671","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3957","layer":2},{"info":"number node, value=5998","layer":2},{"info":"compute binary expreesion, left_input=3957, right_input=5998, 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 = KipPnG1M2J, unary_op_definition = 'a∀⋜↑ = { ((≤/a)⪒(a⋷a)) }', output=-550","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟5376⋅⇍⋋%⋟8204∀⋜↑=⋋%⋟-671","reverse_text":"⋋%⋟-671=⋋%⋟5376⋅⇍⋋%⋟8204∀⋜↑","cot":[{"info":"⋋%⋟5376⋅⇍⋋%⋟8204=⋋%⋟-24","layer":1},{"info":"⋋%⋟-24∀⋜↑=⋋%⋟-671","layer":0}]}
+{"id":906,"expression_no_base_symbol":"$9667$↼⊘⨖$3258$⊍⩺⋍$1252$⨒$4288$","expression":"⋋%⋟14231↼⊘⨖⋋%⋟4420⊍⩺⋍⋋%⋟1641⨒⋋%⋟5784","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":240,"operation_count":3,"complexity_ratio":80.0,"tree":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":9667,"base":9},"right_expr":{"type":"numeric_atoms","value":3258,"base":9}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":1252,"base":9},"right_expr":{"type":"numeric_atoms","value":4288,"base":9}}},"used_operators":["OXDGMFPWZM","bPywburJMS","y75s1iXyHd"],"dependent_operators":["kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","srAu1WTS94","oacrs7FA3X","7qqUquhhSb"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=9667","layer":2},{"info":"number node, value=3258","layer":2},{"info":"compute binary expreesion, left_input=9667, right_input=3258, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=6294","layer":1},{"info":"number node, value=1252","layer":2},{"info":"number node, value=4288","layer":2},{"info":"compute binary expreesion, left_input=1252, right_input=4288, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-7140","layer":1},{"info":"compute binary expreesion, left_input=6294, right_input=-7140, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟14231↼⊘⨖⋋%⋟4420⊍⩺⋍⋋%⋟1641⨒⋋%⋟5784=NaN","reverse_text":"NaN=⋋%⋟14231↼⊘⨖⋋%⋟4420⊍⩺⋍⋋%⋟1641⨒⋋%⋟5784","cot":[{"info":"⋋%⋟14231↼⊘⨖⋋%⋟4420=⋋%⋟8563","layer":1},{"info":"⋋%⋟1641⨒⋋%⋟5784=⋋%⋟-10713","layer":1},{"info":"⋋%⋟8563⊍⩺⋍⋋%⋟-10713=NaN","layer":0}]}
+{"id":907,"expression_no_base_symbol":"⪁⇼($2188$⩒⫫$8033$)","expression":"⪁⇼(⋋%⋟3001⩒⫫⋋%⋟12015)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":32,"operation_count":2,"complexity_ratio":16.0,"tree":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":2188,"base":9},"right_expr":{"type":"numeric_atoms","value":8033,"base":9}}},"used_operators":["ZNVVrZ94lY","KFSx94NKJn"],"dependent_operators":["sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP"],"result":"⋋%⋟518","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=2188","layer":2},{"info":"number node, value=8033","layer":2},{"info":"compute binary expreesion, left_input=2188, right_input=8033, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=1886","layer":1},{"info":"compute unary expreesion, input=1886, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":0}],"base":9,"result_base":9,"text":"⪁⇼(⋋%⋟3001⩒⫫⋋%⋟12015)=⋋%⋟518","reverse_text":"⋋%⋟518=⪁⇼(⋋%⋟3001⩒⫫⋋%⋟12015)","cot":[{"info":"⋋%⋟3001⩒⫫⋋%⋟12015=⋋%⋟2525","layer":1},{"info":"⪁⇼⋋%⋟2525=⋋%⋟518","layer":0}]}
+{"id":908,"expression_no_base_symbol":"($1285$≀⩗∶$3767$)⋾⨃∁$4428$⨚⇆$3807$","expression":"(⋋%⋟1677≀⩗∶⋋%⋟5145)⋾⨃∁⋋%⋟6060⨚⇆⋋%⋟5200","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":31070,"operation_count":3,"complexity_ratio":10356.666666666666,"tree":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":1285,"base":9},"right_expr":{"type":"numeric_atoms","value":3767,"base":9}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":4428,"base":9},"right_expr":{"type":"numeric_atoms","value":3807,"base":9}}},"used_operators":["212REbPD9h","8INZBEW696","lwHaAYXP2r"],"dependent_operators":["eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1285","layer":2},{"info":"number node, value=3767","layer":2},{"info":"compute binary expreesion, left_input=1285, right_input=3767, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=-6","layer":1},{"info":"number node, value=4428","layer":2},{"info":"number node, value=3807","layer":2},{"info":"compute binary expreesion, left_input=4428, right_input=3807, 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=-6, 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":0}],"base":9,"result_base":9,"text":"(⋋%⋟1677≀⩗∶⋋%⋟5145)⋾⨃∁⋋%⋟6060⨚⇆⋋%⋟5200=NaN","reverse_text":"NaN=(⋋%⋟1677≀⩗∶⋋%⋟5145)⋾⨃∁⋋%⋟6060⨚⇆⋋%⋟5200","cot":[{"info":"⋋%⋟1677≀⩗∶⋋%⋟5145=⋋%⋟-6","layer":1},{"info":"⋋%⋟6060⨚⇆⋋%⋟5200=NaN","layer":1},{"info":"⋋%⋟-6⋾⨃∁NaN=NaN","layer":0}]}
+{"id":909,"expression_no_base_symbol":"⨭⩧⫛($1671$⩚⊴⇥$7077$)","expression":"⨭⩧⫛(⋋%⋟2256⩚⊴⇥⋋%⋟10633)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":180,"operation_count":2,"complexity_ratio":90.0,"tree":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1671,"base":9},"right_expr":{"type":"numeric_atoms","value":7077,"base":9}}},"used_operators":["g21JL6JxX7","NTOWxs364D"],"dependent_operators":["Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1671","layer":2},{"info":"number node, value=7077","layer":2},{"info":"compute binary expreesion, left_input=1671, right_input=7077, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-8869","layer":1},{"info":"compute unary expreesion, input=-8869, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"⨭⩧⫛(⋋%⋟2256⩚⊴⇥⋋%⋟10633)=NaN","reverse_text":"NaN=⨭⩧⫛(⋋%⋟2256⩚⊴⇥⋋%⋟10633)","cot":[{"info":"⋋%⋟2256⩚⊴⇥⋋%⋟10633=⋋%⋟-13144","layer":1},{"info":"⨭⩧⫛⋋%⋟-13144=NaN","layer":0}]}
+{"id":910,"expression_no_base_symbol":"($2422$↳∿⪆$4382$)≝⊿(⫶⊄≣$2485$)","expression":"(⋋%⋟3281↳∿⪆⋋%⋟6008)≝⊿(⫶⊄≣⋋%⋟3361)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":4973,"operation_count":3,"complexity_ratio":1657.6666666666667,"tree":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":2422,"base":9},"right_expr":{"type":"numeric_atoms","value":4382,"base":9}},"right_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"numeric_atoms","value":2485,"base":9}}},"used_operators":["OKKcZfAt5B","Cw4SuJJGHO","wxb3vTeyAj"],"dependent_operators":["12rbrZMWeM","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2422","layer":2},{"info":"number node, value=4382","layer":2},{"info":"compute binary expreesion, left_input=2422, right_input=4382, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":1},{"info":"number node, value=2485","layer":2},{"info":"compute unary expreesion, input=2485, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=111195469","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=111195469, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟3281↳∿⪆⋋%⋟6008)≝⊿(⫶⊄≣⋋%⋟3361)=NaN","reverse_text":"NaN=(⋋%⋟3281↳∿⪆⋋%⋟6008)≝⊿(⫶⊄≣⋋%⋟3361)","cot":[{"info":"⋋%⋟3281↳∿⪆⋋%⋟6008=NaN","layer":1},{"info":"⫶⊄≣⋋%⋟3361=⋋%⋟252208451","layer":1},{"info":"NaN≝⊿⋋%⋟252208451=NaN","layer":0}]}
+{"id":911,"expression_no_base_symbol":"(⇤←$5271$)↬($2491$⇴$2206$)","expression":"(⇤←⋋%⋟7206)↬(⋋%⋟3367⇴⋋%⋟3021)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":63,"operation_count":3,"complexity_ratio":21.0,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"numeric_atoms","value":5271,"base":9}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":2491,"base":9},"right_expr":{"type":"numeric_atoms","value":2206,"base":9}}},"used_operators":["B5M0gjZbta","jfAgQ2OQeM","4JB6nKBMSY"],"dependent_operators":["rGHVDoGpnC","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","sdazOOVcIp","NTOWxs364D","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=5271","layer":2},{"info":"compute unary expreesion, input=5271, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=-24989","layer":1},{"info":"number node, value=2491","layer":2},{"info":"number node, value=2206","layer":2},{"info":"compute binary expreesion, left_input=2491, right_input=2206, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=18972","layer":1},{"info":"compute binary expreesion, left_input=-24989, right_input=18972, 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":9,"result_base":9,"text":"(⇤←⋋%⋟7206)↬(⋋%⋟3367⇴⋋%⋟3021)=NaN","reverse_text":"NaN=(⇤←⋋%⋟7206)↬(⋋%⋟3367⇴⋋%⋟3021)","cot":[{"info":"⇤←⋋%⋟7206=⋋%⋟-37245","layer":1},{"info":"⋋%⋟3367⇴⋋%⋟3021=⋋%⋟28020","layer":1},{"info":"⋋%⋟-37245↬⋋%⋟28020=NaN","layer":0}]}
+{"id":912,"expression_no_base_symbol":"$3441$⩼⇪↪$2893$⊉↱≁($5435$+⪬∐$2986$)","expression":"⋋%⋟4643⩼⇪↪⋋%⋟3864⊉↱≁(⋋%⋟7408+⪬∐⋋%⋟4077)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":40,"operation_count":3,"complexity_ratio":13.333333333333334,"tree":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":3441,"base":9},"right_expr":{"type":"numeric_atoms","value":2893,"base":9}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":5435,"base":9},"right_expr":{"type":"numeric_atoms","value":2986,"base":9}}},"used_operators":["w2P8NbNXyL","ocnLzx9CaJ","2GS7woTJqF"],"dependent_operators":["9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","g55IO6H4Gj","D4vGDi5EA2"],"result":"⋋%⋟-66002","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3441","layer":2},{"info":"number node, value=2893","layer":2},{"info":"compute binary expreesion, left_input=3441, right_input=2893, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-14152","layer":1},{"info":"number node, value=5435","layer":2},{"info":"number node, value=2986","layer":2},{"info":"compute binary expreesion, left_input=5435, right_input=2986, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-16305","layer":1},{"info":"compute binary expreesion, left_input=-14152, right_input=-16305, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-43742","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟4643⩼⇪↪⋋%⋟3864⊉↱≁(⋋%⋟7408+⪬∐⋋%⋟4077)=⋋%⋟-66002","reverse_text":"⋋%⋟-66002=⋋%⋟4643⩼⇪↪⋋%⋟3864⊉↱≁(⋋%⋟7408+⪬∐⋋%⋟4077)","cot":[{"info":"⋋%⋟4643⩼⇪↪⋋%⋟3864=⋋%⋟-21364","layer":1},{"info":"⋋%⋟7408+⪬∐⋋%⋟4077=⋋%⋟-24326","layer":1},{"info":"⋋%⋟-21364⊉↱≁⋋%⋟-24326=⋋%⋟-66002","layer":0}]}
+{"id":913,"expression_no_base_symbol":"($5081$⨳⩥⨓$5612$)⋥⋵⩄($1589$∇⊂⋱$1500$)","expression":"(⋋%⋟6865⨳⩥⨓⋋%⋟7625)⋥⋵⩄(⋋%⋟2155∇⊂⋱⋋%⋟2046)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":41,"operation_count":3,"complexity_ratio":13.666666666666666,"tree":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":5081,"base":9},"right_expr":{"type":"numeric_atoms","value":5612,"base":9}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":1589,"base":9},"right_expr":{"type":"numeric_atoms","value":1500,"base":9}}},"used_operators":["7t3wd0Fuz7","nCS4ZIUYfx","nhYeJWJD5X"],"dependent_operators":["IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","W4YGzv6Whe","rysDP5nf3Z","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx"],"result":"⋋%⋟135","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=5081","layer":2},{"info":"number node, value=5612","layer":2},{"info":"compute binary expreesion, left_input=5081, right_input=5612, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=531","layer":1},{"info":"number node, value=1589","layer":2},{"info":"number node, value=1500","layer":2},{"info":"compute binary expreesion, left_input=1589, right_input=1500, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=2632","layer":1},{"info":"compute binary expreesion, left_input=531, right_input=2632, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟6865⨳⩥⨓⋋%⋟7625)⋥⋵⩄(⋋%⋟2155∇⊂⋱⋋%⋟2046)=⋋%⋟135","reverse_text":"⋋%⋟135=(⋋%⋟6865⨳⩥⨓⋋%⋟7625)⋥⋵⩄(⋋%⋟2155∇⊂⋱⋋%⋟2046)","cot":[{"info":"⋋%⋟6865⨳⩥⨓⋋%⋟7625=⋋%⋟650","layer":1},{"info":"⋋%⋟2155∇⊂⋱⋋%⋟2046=⋋%⋟3544","layer":1},{"info":"⋋%⋟650⋥⋵⩄⋋%⋟3544=⋋%⋟135","layer":0}]}
+{"id":914,"expression_no_base_symbol":"$3420$⋹⋡⊁$1357$≥⨤⩑(⨂⪏⇭$3378$)","expression":"⋋%⋟4620⋹⋡⊁⋋%⋟1767≥⨤⩑(⨂⪏⇭⋋%⋟4563)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":62559,"operation_count":3,"complexity_ratio":20853.0,"tree":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":3420,"base":9},"right_expr":{"type":"numeric_atoms","value":1357,"base":9}},"right_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"numeric_atoms","value":3378,"base":9}}},"used_operators":["gJLn6v0xnP","As8RqfVLgs","AYdpE9sXAk"],"dependent_operators":["mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","eewbuw0ToL","NTOWxs364D","EBcxylXtPf"],"result":"⋋%⋟1621","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3420","layer":2},{"info":"number node, value=1357","layer":2},{"info":"compute binary expreesion, left_input=3420, right_input=1357, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=2107","layer":1},{"info":"number node, value=3378","layer":2},{"info":"compute unary expreesion, input=3378, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=9155","layer":1},{"info":"compute binary expreesion, left_input=2107, right_input=9155, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟4620⋹⋡⊁⋋%⋟1767≥⨤⩑(⨂⪏⇭⋋%⋟4563)=⋋%⋟1621","reverse_text":"⋋%⋟1621=⋋%⋟4620⋹⋡⊁⋋%⋟1767≥⨤⩑(⨂⪏⇭⋋%⋟4563)","cot":[{"info":"⋋%⋟4620⋹⋡⊁⋋%⋟1767=⋋%⋟2801","layer":1},{"info":"⨂⪏⇭⋋%⋟4563=⋋%⋟13502","layer":1},{"info":"⋋%⋟2801≥⨤⩑⋋%⋟13502=⋋%⋟1621","layer":0}]}
+{"id":915,"expression_no_base_symbol":"($3793$⩵∡$6180$)⩦($1595$⩨$6345$)","expression":"(⋋%⋟5174⩵∡⋋%⋟8426)⩦(⋋%⋟2162⩨⋋%⋟8630)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":29,"operation_count":3,"complexity_ratio":9.666666666666666,"tree":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":3793,"base":9},"right_expr":{"type":"numeric_atoms","value":6180,"base":9}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1595,"base":9},"right_expr":{"type":"numeric_atoms","value":6345,"base":9}}},"used_operators":["0kmYd0q39Y","Y7wcNGrDQJ","2DlMacCsIx"],"dependent_operators":["N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","NTOWxs364D","glklzrTFfD","tifHPKVTfV","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"⋋%⋟-24186","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3793","layer":2},{"info":"number node, value=6180","layer":2},{"info":"compute binary expreesion, left_input=3793, right_input=6180, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-1527","layer":1},{"info":"number node, value=1595","layer":2},{"info":"number node, value=6345","layer":2},{"info":"compute binary expreesion, left_input=1595, right_input=6345, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-9","layer":1},{"info":"compute binary expreesion, left_input=-1527, right_input=-9, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=-16197","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟5174⩵∡⋋%⋟8426)⩦(⋋%⋟2162⩨⋋%⋟8630)=⋋%⋟-24186","reverse_text":"⋋%⋟-24186=(⋋%⋟5174⩵∡⋋%⋟8426)⩦(⋋%⋟2162⩨⋋%⋟8630)","cot":[{"info":"⋋%⋟5174⩵∡⋋%⋟8426=⋋%⋟-2076","layer":1},{"info":"⋋%⋟2162⩨⋋%⋟8630=⋋%⋟-10","layer":1},{"info":"⋋%⋟-2076⩦⋋%⋟-10=⋋%⋟-24186","layer":0}]}
+{"id":916,"expression_no_base_symbol":"$7990$⩁⩘$3990$⊬⨰($2268$⊹∫⫚$5552$)","expression":"⋋%⋟11857⩁⩘⋋%⋟5423⊬⨰(⋋%⋟3100⊹∫⫚⋋%⋟7548)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":94,"operation_count":3,"complexity_ratio":31.333333333333332,"tree":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":7990,"base":9},"right_expr":{"type":"numeric_atoms","value":3990,"base":9}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":2268,"base":9},"right_expr":{"type":"numeric_atoms","value":5552,"base":9}}},"used_operators":["s3Fd5m9Dh2","gub5Cegaqo","uWAJUKEvyW"],"dependent_operators":["23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","DpFCA1CohY","IWmyXbctLI","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL"],"result":"⋋%⋟21665","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=7990","layer":2},{"info":"number node, value=3990","layer":2},{"info":"compute binary expreesion, left_input=7990, right_input=3990, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=16908","layer":1},{"info":"number node, value=2268","layer":2},{"info":"number node, value=5552","layer":2},{"info":"compute binary expreesion, left_input=2268, right_input=5552, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-364","layer":1},{"info":"compute binary expreesion, left_input=16908, right_input=-364, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=14396","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟11857⩁⩘⋋%⋟5423⊬⨰(⋋%⋟3100⊹∫⫚⋋%⋟7548)=⋋%⋟21665","reverse_text":"⋋%⋟21665=⋋%⋟11857⩁⩘⋋%⋟5423⊬⨰(⋋%⋟3100⊹∫⫚⋋%⋟7548)","cot":[{"info":"⋋%⋟11857⩁⩘⋋%⋟5423=⋋%⋟25166","layer":1},{"info":"⋋%⋟3100⊹∫⫚⋋%⋟7548=⋋%⋟-444","layer":1},{"info":"⋋%⋟25166⊬⨰⋋%⋟-444=⋋%⋟21665","layer":0}]}
+{"id":917,"expression_no_base_symbol":"($2784$⫲)≹⇙⪍(⋼∭⪍$1194$)","expression":"(⋋%⋟3733⫲)≹⇙⪍(⋼∭⪍⋋%⋟1566)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":26,"operation_count":3,"complexity_ratio":8.666666666666666,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⫲","unary_expr":{"type":"numeric_atoms","value":2784,"base":9}},"right_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"numeric_atoms","value":1194,"base":9}}},"used_operators":["AHs5Up7iyr","9xnGDUPbC6","DbCuESL50I"],"dependent_operators":["dWAJyo7jo9","NTOWxs364D","Qy55tPpLXF","DZ8iAZOCBD","8w2t5hMYqp","2DDjHMKMc0","AF7qkfDlqP","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2784","layer":2},{"info":"compute unary expreesion, input=2784, op_id = 9xnGDUPbC6, unary_op_definition = 'a⫲ = { ((272⩚⊴⇥36)⊉≛↸(⨑⩽⪐a)) , if (⊄⩳↩a)<13 ; ((a⩚⊴⇥a)⋝⋈⪟(533⋥≓≎a)) , else }', output=2511","layer":1},{"info":"number node, value=1194","layer":2},{"info":"compute unary expreesion, input=1194, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-3036","layer":1},{"info":"compute binary expreesion, left_input=2511, right_input=-3036, 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":9,"result_base":9,"text":"(⋋%⋟3733⫲)≹⇙⪍(⋼∭⪍⋋%⋟1566)=NaN","reverse_text":"NaN=(⋋%⋟3733⫲)≹⇙⪍(⋼∭⪍⋋%⋟1566)","cot":[{"info":"⋋%⋟3733⫲=⋋%⋟3400","layer":1},{"info":"⋼∭⪍⋋%⋟1566=⋋%⋟-4143","layer":1},{"info":"⋋%⋟3400≹⇙⪍⋋%⋟-4143=NaN","layer":0}]}
+{"id":918,"expression_no_base_symbol":"($3651$∑⇟⊟$2617$)⨫⇇↔($1955$⫃⨇$3797$)","expression":"(⋋%⋟5006∑⇟⊟⋋%⋟3527)⨫⇇↔(⋋%⋟2612⫃⨇⋋%⋟5178)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":25,"operation_count":3,"complexity_ratio":8.333333333333334,"tree":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3651,"base":9},"right_expr":{"type":"numeric_atoms","value":2617,"base":9}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":1955,"base":9},"right_expr":{"type":"numeric_atoms","value":3797,"base":9}}},"used_operators":["LXhwmt4mBO","U7g4x0WXJJ","09Ly4LVMIf"],"dependent_operators":["d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG"],"result":"⋋%⋟-645","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3651","layer":2},{"info":"number node, value=2617","layer":2},{"info":"compute binary expreesion, left_input=3651, right_input=2617, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=1955","layer":2},{"info":"number node, value=3797","layer":2},{"info":"compute binary expreesion, left_input=1955, right_input=3797, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-15220","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-15220, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟5006∑⇟⊟⋋%⋟3527)⨫⇇↔(⋋%⋟2612⫃⨇⋋%⋟5178)=⋋%⋟-645","reverse_text":"⋋%⋟-645=(⋋%⋟5006∑⇟⊟⋋%⋟3527)⨫⇇↔(⋋%⋟2612⫃⨇⋋%⋟5178)","cot":[{"info":"⋋%⋟5006∑⇟⊟⋋%⋟3527=NaN","layer":1},{"info":"⋋%⋟2612⫃⨇⋋%⋟5178=⋋%⋟-22781","layer":1},{"info":"NaN⨫⇇↔⋋%⋟-22781=⋋%⋟-645","layer":0}]}
+{"id":919,"expression_no_base_symbol":"(↴⪽⋼$3548$)↡⊰⫅($1231$⫳≱↱$6016$)","expression":"(↴⪽⋼⋋%⋟4772)↡⊰⫅(⋋%⋟1617⫳≱↱⋋%⋟8224)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3183,"operation_count":3,"complexity_ratio":1061.0,"tree":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"numeric_atoms","value":3548,"base":9}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":1231,"base":9},"right_expr":{"type":"numeric_atoms","value":6016,"base":9}}},"used_operators":["VCtxkLNOzz","5TUYCnJO6w","ZvLB05nZmT"],"dependent_operators":["Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=3548","layer":2},{"info":"compute unary expreesion, input=3548, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=3548","layer":1},{"info":"number node, value=1231","layer":2},{"info":"number node, value=6016","layer":2},{"info":"compute binary expreesion, left_input=1231, right_input=6016, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":1},{"info":"compute binary expreesion, left_input=3548, right_input=-204, 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":9,"result_base":9,"text":"(↴⪽⋼⋋%⋟4772)↡⊰⫅(⋋%⋟1617⫳≱↱⋋%⋟8224)=NaN","reverse_text":"NaN=(↴⪽⋼⋋%⋟4772)↡⊰⫅(⋋%⋟1617⫳≱↱⋋%⋟8224)","cot":[{"info":"↴⪽⋼⋋%⋟4772=⋋%⋟4772","layer":1},{"info":"⋋%⋟1617⫳≱↱⋋%⋟8224=⋋%⋟-246","layer":1},{"info":"⋋%⋟4772↡⊰⫅⋋%⋟-246=NaN","layer":0}]}
+{"id":920,"expression_no_base_symbol":"$1168$⩼⇪↪$5735$↯⫤","expression":"⋋%⋟1537⩼⇪↪⋋%⋟7772↯⫤","highest_n_order":1,"priority_hierarchical_complexity":1,"normalized_expansion_degree":30,"operation_count":2,"complexity_ratio":15.0,"tree":{"type":"unary","operator":"↯⫤","unary_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":1168,"base":9},"right_expr":{"type":"numeric_atoms","value":5735,"base":9}}},"used_operators":["VwlE7vj6HS","ocnLzx9CaJ"],"dependent_operators":["W4YGzv6Whe","23Mk6UjR3U","tifHPKVTfV","glklzrTFfD","eH2TOUuTDT","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","g55IO6H4Gj","nCS4ZIUYfx","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q"],"result":"⋋%⋟126780","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1168","layer":2},{"info":"number node, value=5735","layer":2},{"info":"compute binary expreesion, left_input=1168, right_input=5735, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-38592","layer":1},{"info":"compute unary expreesion, input=-38592, op_id = VwlE7vj6HS, unary_op_definition = 'a↯⫤ = { (((-a)⋝⋈⪟(a⨳⩥⨓a))⨸⪁((a⨁⊸⫻)⇼⇔∾(a+a))) , if (a⋷221)!=277 ; (((300⪐)⨁⊸⫻)⇼⇔∾(a≧⫂∧(26≧⫂∧87))) , else }', output=77184","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟1537⩼⇪↪⋋%⋟7772↯⫤=⋋%⋟126780","reverse_text":"⋋%⋟126780=⋋%⋟1537⩼⇪↪⋋%⋟7772↯⫤","cot":[{"info":"⋋%⋟1537⩼⇪↪⋋%⋟7772=⋋%⋟-57840","layer":1},{"info":"⋋%⋟-57840↯⫤=⋋%⋟126780","layer":0}]}
+{"id":921,"expression_no_base_symbol":"⊆⋠($8011$⨟⋌⩍$3507$)","expression":"⊆⋠(⋋%⋟11881⨟⋌⩍⋋%⋟4726)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":35,"operation_count":2,"complexity_ratio":17.5,"tree":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":8011,"base":9},"right_expr":{"type":"numeric_atoms","value":3507,"base":9}}},"used_operators":["EBhcHTkKd8","rGHVDoGpnC"],"dependent_operators":["YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","Tcnh7f0tEr"],"result":"⋋%⋟5411","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=8011","layer":2},{"info":"number node, value=3507","layer":2},{"info":"compute binary expreesion, left_input=8011, right_input=3507, 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 = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=3979","layer":0}],"base":9,"result_base":9,"text":"⊆⋠(⋋%⋟11881⨟⋌⩍⋋%⋟4726)=⋋%⋟5411","reverse_text":"⋋%⋟5411=⊆⋠(⋋%⋟11881⨟⋌⩍⋋%⋟4726)","cot":[{"info":"⋋%⋟11881⨟⋌⩍⋋%⋟4726=NaN","layer":1},{"info":"⊆⋠NaN=⋋%⋟5411","layer":0}]}
+{"id":922,"expression_no_base_symbol":"∤$3313$↺$5312$","expression":"∤⋋%⋟4481↺⋋%⋟7252","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":10,"operation_count":2,"complexity_ratio":5.0,"tree":{"type":"unary","operator":"∤","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":3313,"base":9},"right_expr":{"type":"numeric_atoms","value":5312,"base":9}}},"used_operators":["k2HlF1dBQh","7j4O788W3g"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd"],"result":"⋋%⋟10","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=3313","layer":2},{"info":"number node, value=5312","layer":2},{"info":"compute binary expreesion, left_input=3313, right_input=5312, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=5312","layer":1},{"info":"compute unary expreesion, input=5312, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":0}],"base":9,"result_base":9,"text":"∤⋋%⋟4481↺⋋%⋟7252=⋋%⋟10","reverse_text":"⋋%⋟10=∤⋋%⋟4481↺⋋%⋟7252","cot":[{"info":"⋋%⋟4481↺⋋%⋟7252=⋋%⋟7252","layer":1},{"info":"∤⋋%⋟7252=⋋%⋟10","layer":0}]}
+{"id":923,"expression_no_base_symbol":"↣≠⋷$5743$⪟⇏$1289$","expression":"↣≠⋷⋋%⋟7781⪟⇏⋋%⋟1682","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":30,"operation_count":2,"complexity_ratio":15.0,"tree":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":5743,"base":9},"right_expr":{"type":"numeric_atoms","value":1289,"base":9}}},"used_operators":["Asc51vEJeQ","GODebY97qR"],"dependent_operators":["XhwjNDsVaA","AHs5Up7iyr","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X"],"result":"⋋%⋟1","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=5743","layer":2},{"info":"number node, value=1289","layer":2},{"info":"compute binary expreesion, left_input=5743, right_input=1289, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":1},{"info":"compute unary expreesion, input=-1, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=1","layer":0}],"base":9,"result_base":9,"text":"↣≠⋷⋋%⋟7781⪟⇏⋋%⋟1682=⋋%⋟1","reverse_text":"⋋%⋟1=↣≠⋷⋋%⋟7781⪟⇏⋋%⋟1682","cot":[{"info":"⋋%⋟7781⪟⇏⋋%⋟1682=⋋%⋟-1","layer":1},{"info":"↣≠⋷⋋%⋟-1=⋋%⋟1","layer":0}]}
+{"id":924,"expression_no_base_symbol":"∐⩳⋚$6935$⨽∌$5619$","expression":"∐⩳⋚⋋%⋟10455⨽∌⋋%⋟7633","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":193,"operation_count":2,"complexity_ratio":96.5,"tree":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":6935,"base":9},"right_expr":{"type":"numeric_atoms","value":5619,"base":9}}},"used_operators":["SL6IHkK8vl","9samAPKr6k"],"dependent_operators":["s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu"],"result":"⋋%⋟-41881","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=6935","layer":2},{"info":"number node, value=5619","layer":2},{"info":"compute binary expreesion, left_input=6935, right_input=5619, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', 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":9,"result_base":9,"text":"∐⩳⋚⋋%⋟10455⨽∌⋋%⋟7633=⋋%⋟-41881","reverse_text":"⋋%⋟-41881=∐⩳⋚⋋%⋟10455⨽∌⋋%⋟7633","cot":[{"info":"⋋%⋟10455⨽∌⋋%⋟7633=⋋%⋟0","layer":1},{"info":"∐⩳⋚⋋%⋟0=⋋%⋟-41881","layer":0}]}
+{"id":925,"expression_no_base_symbol":"($1916$↡⊰⫅$2315$)⩖⊿($3449$⨌↪)","expression":"(⋋%⋟2558↡⊰⫅⋋%⋟3152)⩖⊿(⋋%⋟4652⨌↪)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":32467,"operation_count":3,"complexity_ratio":10822.333333333334,"tree":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":1916,"base":9},"right_expr":{"type":"numeric_atoms","value":2315,"base":9}},"right_expr":{"type":"unary","operator":"⨌↪","unary_expr":{"type":"numeric_atoms","value":3449,"base":9}}},"used_operators":["RZ5CV9rWsJ","VCtxkLNOzz","cWQsF5MvuD"],"dependent_operators":["HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","8w2t5hMYqp","2DQ55sFlQl","i8ToyICDmI","QMFrweE19q"],"result":"⋋%⋟-33705","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1916","layer":2},{"info":"number node, value=2315","layer":2},{"info":"compute binary expreesion, left_input=1916, right_input=2315, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=4630","layer":1},{"info":"number node, value=3449","layer":2},{"info":"compute unary expreesion, input=3449, op_id = cWQsF5MvuD, unary_op_definition = 'a⨌↪ = { (⊄⩳↩((a∲⫓a)⨵⪆(a⫡⨏a))) }', output=-480","layer":1},{"info":"compute binary expreesion, left_input=4630, right_input=-480, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-22442","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟2558↡⊰⫅⋋%⋟3152)⩖⊿(⋋%⋟4652⨌↪)=⋋%⋟-33705","reverse_text":"⋋%⋟-33705=(⋋%⋟2558↡⊰⫅⋋%⋟3152)⩖⊿(⋋%⋟4652⨌↪)","cot":[{"info":"⋋%⋟2558↡⊰⫅⋋%⋟3152=⋋%⋟6314","layer":1},{"info":"⋋%⋟4652⨌↪=⋋%⋟-583","layer":1},{"info":"⋋%⋟6314⩖⊿⋋%⋟-583=⋋%⋟-33705","layer":0}]}
+{"id":926,"expression_no_base_symbol":"($1375$⫳≱↱$5227$)⇀∌","expression":"(⋋%⋟1787⫳≱↱⋋%⋟7147)⇀∌","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":43206,"operation_count":2,"complexity_ratio":21603.0,"tree":{"type":"unary","operator":"⇀∌","unary_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":1375,"base":9},"right_expr":{"type":"numeric_atoms","value":5227,"base":9}}},"used_operators":["2k53nXOpI5","ZvLB05nZmT"],"dependent_operators":["Q3PJZHRvZv","ddLRYrp01A","AcOhelriW5","7t3wd0Fuz7","3tVxb0NHM4","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1375","layer":2},{"info":"number node, value=5227","layer":2},{"info":"compute binary expreesion, left_input=1375, right_input=5227, 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 = 2k53nXOpI5, unary_op_definition = 'a⇀∌ = { ((a⪎↠(⨣⨃⇪a))⋥⋵⩄(a∊∟⩊(⊥a))) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟1787⫳≱↱⋋%⋟7147)⇀∌=NaN","reverse_text":"NaN=(⋋%⋟1787⫳≱↱⋋%⋟7147)⇀∌","cot":[{"info":"⋋%⋟1787⫳≱↱⋋%⋟7147=⋋%⋟-246","layer":1},{"info":"⋋%⋟-246⇀∌=NaN","layer":0}]}
+{"id":927,"expression_no_base_symbol":"(⊗$1106$)↓($2103$⨑≵⋬$7798$)","expression":"(⊗⋋%⋟1458)↓(⋋%⋟2786⨑≵⋬⋋%⋟11624)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":598017,"operation_count":3,"complexity_ratio":199339.0,"tree":{"type":"binary","operator":"↓","left_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"numeric_atoms","value":1106,"base":9}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":2103,"base":9},"right_expr":{"type":"numeric_atoms","value":7798,"base":9}}},"used_operators":["Af076pWI7l","RhiyfpczSx","XnXgA4xnOs"],"dependent_operators":["nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q"],"result":"⋋%⋟-158","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1106","layer":2},{"info":"compute unary expreesion, input=1106, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-2212","layer":1},{"info":"number node, value=2103","layer":2},{"info":"number node, value=7798","layer":2},{"info":"compute binary expreesion, left_input=2103, right_input=7798, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-42692","layer":1},{"info":"compute binary expreesion, left_input=-2212, right_input=-42692, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":0}],"base":9,"result_base":9,"text":"(⊗⋋%⋟1458)↓(⋋%⋟2786⨑≵⋬⋋%⋟11624)=⋋%⋟-158","reverse_text":"⋋%⋟-158=(⊗⋋%⋟1458)↓(⋋%⋟2786⨑≵⋬⋋%⋟11624)","cot":[{"info":"⊗⋋%⋟1458=⋋%⋟-3027","layer":1},{"info":"⋋%⋟2786⨑≵⋬⋋%⋟11624=⋋%⋟-64505","layer":1},{"info":"⋋%⋟-3027↓⋋%⋟-64505=⋋%⋟-158","layer":0}]}
+{"id":928,"expression_no_base_symbol":"(∷≠$5674$)⇡⇂($2276$⫥∨⫟$4249$)","expression":"(∷≠⋋%⋟7704)⇡⇂(⋋%⋟3108⫥∨⫟⋋%⋟5741)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":560,"operation_count":3,"complexity_ratio":186.66666666666666,"tree":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"numeric_atoms","value":5674,"base":9}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2276,"base":9},"right_expr":{"type":"numeric_atoms","value":4249,"base":9}}},"used_operators":["UMwdvZNt44","QiR2Oyf5Xj","KYD54nUTWz"],"dependent_operators":["9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","7j4O788W3g","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=5674","layer":2},{"info":"compute unary expreesion, input=5674, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=5674","layer":1},{"info":"number node, value=2276","layer":2},{"info":"number node, value=4249","layer":2},{"info":"compute binary expreesion, left_input=2276, right_input=4249, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=5674, 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":9,"result_base":9,"text":"(∷≠⋋%⋟7704)⇡⇂(⋋%⋟3108⫥∨⫟⋋%⋟5741)=NaN","reverse_text":"NaN=(∷≠⋋%⋟7704)⇡⇂(⋋%⋟3108⫥∨⫟⋋%⋟5741)","cot":[{"info":"∷≠⋋%⋟7704=⋋%⋟7704","layer":1},{"info":"⋋%⋟3108⫥∨⫟⋋%⋟5741=NaN","layer":1},{"info":"⋋%⋟7704⇡⇂NaN=NaN","layer":0}]}
+{"id":929,"expression_no_base_symbol":"$2329$≁$2738$/$3058$⫘$2163$","expression":"⋋%⋟3167≁⋋%⋟3672/⋋%⋟4167⫘⋋%⋟2863","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3345,"operation_count":3,"complexity_ratio":1115.0,"tree":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":2329,"base":9},"right_expr":{"type":"numeric_atoms","value":2738,"base":9}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":3058,"base":9},"right_expr":{"type":"numeric_atoms","value":2163,"base":9}}},"used_operators":["XhwjNDsVaA","8N2wDY1A35","48vC8HMD2b"],"dependent_operators":["rysDP5nf3Z","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe"],"result":"⋋%⋟0","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2329","layer":2},{"info":"number node, value=2738","layer":2},{"info":"compute binary expreesion, left_input=2329, right_input=2738, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=52511","layer":1},{"info":"number node, value=3058","layer":2},{"info":"number node, value=2163","layer":2},{"info":"compute binary expreesion, left_input=3058, right_input=2163, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=3600613","layer":1},{"info":"compute binary expreesion, left_input=52511, right_input=3600613, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟3167≁⋋%⋟3672/⋋%⋟4167⫘⋋%⋟2863=⋋%⋟0","reverse_text":"⋋%⋟0=⋋%⋟3167≁⋋%⋟3672/⋋%⋟4167⫘⋋%⋟2863","cot":[{"info":"⋋%⋟3167≁⋋%⋟3672=⋋%⋟80025","layer":1},{"info":"⋋%⋟4167⫘⋋%⋟2863=⋋%⋟6687101","layer":1},{"info":"⋋%⋟80025/⋋%⋟6687101=⋋%⋟0","layer":0}]}
+{"id":930,"expression_no_base_symbol":"$1120$⩣⫁∢$1301$⨭⪣$5440$⪮%⊝$1392$","expression":"⋋%⋟1474⩣⫁∢⋋%⋟1705⨭⪣⋋%⋟7414⪮%⊝⋋%⋟1816","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":67,"operation_count":3,"complexity_ratio":22.333333333333332,"tree":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":1120,"base":9},"right_expr":{"type":"numeric_atoms","value":1301,"base":9}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":5440,"base":9},"right_expr":{"type":"numeric_atoms","value":1392,"base":9}}},"used_operators":["kn8WO9XteQ","JDUIKTTSIa","IWmyXbctLI"],"dependent_operators":["vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"⋋%⋟1676","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1120","layer":2},{"info":"number node, value=1301","layer":2},{"info":"compute binary expreesion, left_input=1120, right_input=1301, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-2079","layer":1},{"info":"number node, value=5440","layer":2},{"info":"number node, value=1392","layer":2},{"info":"compute binary expreesion, left_input=5440, right_input=1392, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=11196","layer":1},{"info":"compute binary expreesion, left_input=-2079, right_input=11196, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=1284","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟1474⩣⫁∢⋋%⋟1705⨭⪣⋋%⋟7414⪮%⊝⋋%⋟1816=⋋%⋟1676","reverse_text":"⋋%⋟1676=⋋%⋟1474⩣⫁∢⋋%⋟1705⨭⪣⋋%⋟7414⪮%⊝⋋%⋟1816","cot":[{"info":"⋋%⋟1474⩣⫁∢⋋%⋟1705=⋋%⋟-2760","layer":1},{"info":"⋋%⋟7414⪮%⊝⋋%⋟1816=⋋%⋟16320","layer":1},{"info":"⋋%⋟-2760⨭⪣⋋%⋟16320=⋋%⋟1676","layer":0}]}
+{"id":931,"expression_no_base_symbol":"$4566$⫸⊐$1797$%$5430$∣$2250$","expression":"⋋%⋟6233⫸⊐⋋%⋟2416%⋋%⋟7403∣⋋%⋟3070","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":26,"operation_count":3,"complexity_ratio":8.666666666666666,"tree":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":4566,"base":9},"right_expr":{"type":"numeric_atoms","value":1797,"base":9}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":5430,"base":9},"right_expr":{"type":"numeric_atoms","value":2250,"base":9}}},"used_operators":["k8jYdgA6NY","mqXw5SEYmG","PPChnnnBFF"],"dependent_operators":["rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI"],"result":"⋋%⋟2214","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=4566","layer":2},{"info":"number node, value=1797","layer":2},{"info":"compute binary expreesion, left_input=4566, right_input=1797, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=7063","layer":1},{"info":"number node, value=5430","layer":2},{"info":"number node, value=2250","layer":2},{"info":"compute binary expreesion, left_input=5430, right_input=2250, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=5430","layer":1},{"info":"compute binary expreesion, left_input=7063, right_input=5430, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1633","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟6233⫸⊐⋋%⋟2416%⋋%⋟7403∣⋋%⋟3070=⋋%⋟2214","reverse_text":"⋋%⋟2214=⋋%⋟6233⫸⊐⋋%⋟2416%⋋%⋟7403∣⋋%⋟3070","cot":[{"info":"⋋%⋟6233⫸⊐⋋%⋟2416=⋋%⋟10617","layer":1},{"info":"⋋%⋟7403∣⋋%⋟3070=⋋%⋟7403","layer":1},{"info":"⋋%⋟10617%⋋%⋟7403=⋋%⋟2214","layer":0}]}
+{"id":932,"expression_no_base_symbol":"⩒∊$1382$∺≝⩲$5142$","expression":"⩒∊⋋%⋟1805∺≝⩲⋋%⋟7043","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":17,"operation_count":2,"complexity_ratio":8.5,"tree":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":1382,"base":9},"right_expr":{"type":"numeric_atoms","value":5142,"base":9}}},"used_operators":["qazvmhNBbN","KPf6cnQVty"],"dependent_operators":["AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl"],"result":"⋋%⋟-535","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1382","layer":2},{"info":"number node, value=5142","layer":2},{"info":"compute binary expreesion, left_input=1382, right_input=5142, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":1},{"info":"compute unary expreesion, input=160, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=-437","layer":0}],"base":9,"result_base":9,"text":"⩒∊⋋%⋟1805∺≝⩲⋋%⋟7043=⋋%⋟-535","reverse_text":"⋋%⋟-535=⩒∊⋋%⋟1805∺≝⩲⋋%⋟7043","cot":[{"info":"⋋%⋟1805∺≝⩲⋋%⋟7043=⋋%⋟187","layer":1},{"info":"⩒∊⋋%⋟187=⋋%⋟-535","layer":0}]}
+{"id":933,"expression_no_base_symbol":"($1654$∠↢$2432$)≹⇙⪍($1418$∇⊂⋱$2552$)","expression":"(⋋%⋟2237∠↢⋋%⋟3302)≹⇙⪍(⋋%⋟1845∇⊂⋱⋋%⋟3445)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":27,"operation_count":3,"complexity_ratio":9.0,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":1654,"base":9},"right_expr":{"type":"numeric_atoms","value":2432,"base":9}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":1418,"base":9},"right_expr":{"type":"numeric_atoms","value":2552,"base":9}}},"used_operators":["AHs5Up7iyr","KbjG8mgYpV","nhYeJWJD5X"],"dependent_operators":["dWAJyo7jo9","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1654","layer":2},{"info":"number node, value=2432","layer":2},{"info":"compute binary expreesion, left_input=1654, right_input=2432, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-39582","layer":1},{"info":"number node, value=1418","layer":2},{"info":"number node, value=2552","layer":2},{"info":"compute binary expreesion, left_input=1418, right_input=2552, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=2290","layer":1},{"info":"compute binary expreesion, left_input=-39582, right_input=2290, 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":9,"result_base":9,"text":"(⋋%⋟2237∠↢⋋%⋟3302)≹⇙⪍(⋋%⋟1845∇⊂⋱⋋%⋟3445)=NaN","reverse_text":"NaN=(⋋%⋟2237∠↢⋋%⋟3302)≹⇙⪍(⋋%⋟1845∇⊂⋱⋋%⋟3445)","cot":[{"info":"⋋%⋟2237∠↢⋋%⋟3302=⋋%⋟-60260","layer":1},{"info":"⋋%⋟1845∇⊂⋱⋋%⋟3445=⋋%⋟3124","layer":1},{"info":"⋋%⋟-60260≹⇙⪍⋋%⋟3124=NaN","layer":0}]}
+{"id":934,"expression_no_base_symbol":"(⋠∜$3644$)⊋($6898$∷$1523$)","expression":"(⋠∜⋋%⋟4888)⊋(⋋%⋟10414∷⋋%⋟2072)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":5822,"operation_count":3,"complexity_ratio":1940.6666666666667,"tree":{"type":"binary","operator":"⊋","left_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"numeric_atoms","value":3644,"base":9}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":6898,"base":9},"right_expr":{"type":"numeric_atoms","value":1523,"base":9}}},"used_operators":["W4tP9CfskL","ZJpFhNJr3x","D3AQDKkPcf"],"dependent_operators":["2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","9FxExcQeMw","NTOWxs364D","7j4O788W3g"],"result":"⋋%⋟410784538","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3644","layer":2},{"info":"compute unary expreesion, input=3644, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=16860","layer":1},{"info":"number node, value=6898","layer":2},{"info":"number node, value=1523","layer":2},{"info":"compute binary expreesion, left_input=6898, right_input=1523, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=1523","layer":1},{"info":"compute binary expreesion, left_input=16860, right_input=1523, 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=177439040","layer":0}],"base":9,"result_base":9,"text":"(⋠∜⋋%⋟4888)⊋(⋋%⋟10414∷⋋%⋟2072)=⋋%⋟410784538","reverse_text":"⋋%⋟410784538=(⋠∜⋋%⋟4888)⊋(⋋%⋟10414∷⋋%⋟2072)","cot":[{"info":"⋠∜⋋%⋟4888=⋋%⋟25113","layer":1},{"info":"⋋%⋟10414∷⋋%⋟2072=⋋%⋟2072","layer":1},{"info":"⋋%⋟25113⊋⋋%⋟2072=⋋%⋟410784538","layer":0}]}
+{"id":935,"expression_no_base_symbol":"⫯(⊤⊝$1051$)","expression":"⫯(⊤⊝⋋%⋟1387)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":53,"operation_count":2,"complexity_ratio":26.5,"tree":{"type":"unary","operator":"⫯","unary_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"numeric_atoms","value":1051,"base":9}}},"used_operators":["H6BK1Evt7c","rXAclfmB4M"],"dependent_operators":["2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","sdazOOVcIp"],"result":"⋋%⋟-28028","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1051","layer":2},{"info":"compute unary expreesion, input=1051, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=804","layer":1},{"info":"compute unary expreesion, input=804, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=-18980","layer":0}],"base":9,"result_base":9,"text":"⫯(⊤⊝⋋%⋟1387)=⋋%⋟-28028","reverse_text":"⋋%⋟-28028=⫯(⊤⊝⋋%⋟1387)","cot":[{"info":"⊤⊝⋋%⋟1387=⋋%⋟1083","layer":1},{"info":"⫯⋋%⋟1083=⋋%⋟-28028","layer":0}]}
+{"id":936,"expression_no_base_symbol":"($9365$⫦⪉$2515$)⨱∎","expression":"(⋋%⋟13755⫦⪉⋋%⋟3404)⨱∎","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":25,"operation_count":2,"complexity_ratio":12.5,"tree":{"type":"unary","operator":"⨱∎","unary_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":9365,"base":9},"right_expr":{"type":"numeric_atoms","value":2515,"base":9}}},"used_operators":["MmTdOpaElr","wscyQdcy20"],"dependent_operators":["tifHPKVTfV","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf"],"result":"⋋%⋟0","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=9365","layer":2},{"info":"number node, value=2515","layer":2},{"info":"compute binary expreesion, left_input=9365, right_input=2515, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-13830","layer":1},{"info":"compute unary expreesion, input=-13830, op_id = MmTdOpaElr, unary_op_definition = 'a⨱∎ = { (a⇼⇔∾a) }', output=0","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟13755⫦⪉⋋%⋟3404)⨱∎=⋋%⋟0","reverse_text":"⋋%⋟0=(⋋%⋟13755⫦⪉⋋%⋟3404)⨱∎","cot":[{"info":"⋋%⋟13755⫦⪉⋋%⋟3404=⋋%⋟-20866","layer":1},{"info":"⋋%⋟-20866⨱∎=⋋%⋟0","layer":0}]}
+{"id":937,"expression_no_base_symbol":"($1029$≎⊠⪸$1529$)⪟⇏($4156$⪛$5006$)","expression":"(⋋%⋟1363≎⊠⪸⋋%⋟2078)⪟⇏(⋋%⋟5627⪛⋋%⋟6772)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":301,"operation_count":3,"complexity_ratio":100.33333333333333,"tree":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1029,"base":9},"right_expr":{"type":"numeric_atoms","value":1529,"base":9}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":4156,"base":9},"right_expr":{"type":"numeric_atoms","value":5006,"base":9}}},"used_operators":["GODebY97qR","bJkvcejdHO","uFcxV4UQCh"],"dependent_operators":["gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"⋋%⋟-1","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1029","layer":2},{"info":"number node, value=1529","layer":2},{"info":"compute binary expreesion, left_input=1029, right_input=1529, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=266038","layer":1},{"info":"number node, value=4156","layer":2},{"info":"number node, value=5006","layer":2},{"info":"compute binary expreesion, left_input=4156, right_input=5006, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=4156","layer":1},{"info":"compute binary expreesion, left_input=266038, right_input=4156, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟1363≎⊠⪸⋋%⋟2078)⪟⇏(⋋%⋟5627⪛⋋%⋟6772)=⋋%⋟-1","reverse_text":"⋋%⋟-1=(⋋%⋟1363≎⊠⪸⋋%⋟2078)⪟⇏(⋋%⋟5627⪛⋋%⋟6772)","cot":[{"info":"⋋%⋟1363≎⊠⪸⋋%⋟2078=⋋%⋟444837","layer":1},{"info":"⋋%⋟5627⪛⋋%⋟6772=⋋%⋟5627","layer":1},{"info":"⋋%⋟444837⪟⇏⋋%⋟5627=⋋%⋟-1","layer":0}]}
+{"id":938,"expression_no_base_symbol":"(≻⋜$6029$)⪡($4080$⪚⩙≫)","expression":"(≻⋜⋋%⋟8238)⪡(⋋%⋟5533⪚⩙≫)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":30369,"operation_count":3,"complexity_ratio":10123.0,"tree":{"type":"binary","operator":"⪡","left_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"numeric_atoms","value":6029,"base":9}},"right_expr":{"type":"unary","operator":"⪚⩙≫","unary_expr":{"type":"numeric_atoms","value":4080,"base":9}}},"used_operators":["oraRL2iQuh","3tj9sqzovi","4n53wtyJvv"],"dependent_operators":["2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","Uaa54Peajs","nCS4ZIUYfx","WR6HLWljOP"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=6029","layer":2},{"info":"compute unary expreesion, input=6029, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":1},{"info":"number node, value=4080","layer":2},{"info":"compute unary expreesion, input=4080, op_id = 4n53wtyJvv, unary_op_definition = 'a⪚⩙≫ = { ((316↢a)⨳⩥⨓(∂255)) }', 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":9,"result_base":9,"text":"(≻⋜⋋%⋟8238)⪡(⋋%⋟5533⪚⩙≫)=NaN","reverse_text":"NaN=(≻⋜⋋%⋟8238)⪡(⋋%⋟5533⪚⩙≫)","cot":[{"info":"≻⋜⋋%⋟8238=NaN","layer":1},{"info":"⋋%⋟5533⪚⩙≫=NaN","layer":1},{"info":"NaN⪡NaN=NaN","layer":0}]}
+{"id":939,"expression_no_base_symbol":"⋂($2602$⋻⩜⩜$1095$)","expression":"⋂(⋋%⋟3511⋻⩜⩜⋋%⋟1446)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":15352,"operation_count":2,"complexity_ratio":7676.0,"tree":{"type":"unary","operator":"⋂","unary_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":2602,"base":9},"right_expr":{"type":"numeric_atoms","value":1095,"base":9}}},"used_operators":["BUOGQAYlQx","oDCm7WA9JY"],"dependent_operators":["NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE"],"result":"⋋%⋟-120108","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2602","layer":2},{"info":"number node, value=1095","layer":2},{"info":"compute binary expreesion, left_input=2602, right_input=1095, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=5204","layer":1},{"info":"compute unary expreesion, input=5204, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=-72260","layer":0}],"base":9,"result_base":9,"text":"⋂(⋋%⋟3511⋻⩜⩜⋋%⋟1446)=⋋%⋟-120108","reverse_text":"⋋%⋟-120108=⋂(⋋%⋟3511⋻⩜⩜⋋%⋟1446)","cot":[{"info":"⋋%⋟3511⋻⩜⩜⋋%⋟1446=⋋%⋟7122","layer":1},{"info":"⋂⋋%⋟7122=⋋%⋟-120108","layer":0}]}
+{"id":940,"expression_no_base_symbol":"(⨴⫝$2840$)⇌⫙⪟$2779$↳∿⪆$3584$","expression":"(⨴⫝⋋%⋟3805)⇌⫙⪟⋋%⋟3727↳∿⪆⋋%⋟4822","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":4275,"operation_count":3,"complexity_ratio":1425.0,"tree":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"numeric_atoms","value":2840,"base":9}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":2779,"base":9},"right_expr":{"type":"numeric_atoms","value":3584,"base":9}}},"used_operators":["AFVx7xoS7T","SVb2v531z1","Cw4SuJJGHO"],"dependent_operators":["DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2840","layer":2},{"info":"compute unary expreesion, input=2840, 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":1},{"info":"number node, value=2779","layer":2},{"info":"number node, value=3584","layer":2},{"info":"compute binary expreesion, left_input=2779, right_input=3584, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=2828198, 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":9,"result_base":9,"text":"(⨴⫝⋋%⋟3805)⇌⫙⪟⋋%⋟3727↳∿⪆⋋%⋟4822=NaN","reverse_text":"NaN=(⨴⫝⋋%⋟3805)⇌⫙⪟⋋%⋟3727↳∿⪆⋋%⋟4822","cot":[{"info":"⨴⫝⋋%⋟3805=⋋%⋟5280502","layer":1},{"info":"⋋%⋟3727↳∿⪆⋋%⋟4822=NaN","layer":1},{"info":"⋋%⋟5280502⇌⫙⪟NaN=NaN","layer":0}]}
+{"id":941,"expression_no_base_symbol":"(⨭⩧⫛$2887$)↱(↪⫪⫘$3630$)","expression":"(⨭⩧⫛⋋%⋟3857)↱(↪⫪⫘⋋%⋟4873)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":285,"operation_count":3,"complexity_ratio":95.0,"tree":{"type":"binary","operator":"↱","left_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"numeric_atoms","value":2887,"base":9}},"right_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"numeric_atoms","value":3630,"base":9}}},"used_operators":["SR5kFfdi6N","g21JL6JxX7","9dWsAM3GFt"],"dependent_operators":["k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z"],"result":"⋋%⋟23584","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=2887","layer":2},{"info":"compute unary expreesion, input=2887, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":1},{"info":"number node, value=3630","layer":2},{"info":"compute unary expreesion, input=3630, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=20, 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=15790","layer":0}],"base":9,"result_base":9,"text":"(⨭⩧⫛⋋%⋟3857)↱(↪⫪⫘⋋%⋟4873)=⋋%⋟23584","reverse_text":"⋋%⋟23584=(⨭⩧⫛⋋%⋟3857)↱(↪⫪⫘⋋%⋟4873)","cot":[{"info":"⨭⩧⫛⋋%⋟3857=NaN","layer":1},{"info":"↪⫪⫘⋋%⋟4873=⋋%⋟22","layer":1},{"info":"NaN↱⋋%⋟22=⋋%⋟23584","layer":0}]}
+{"id":942,"expression_no_base_symbol":"∨∊⋏($2671$⋅⇍$2497$)","expression":"∨∊⋏(⋋%⋟3587⋅⇍⋋%⋟3374)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":85,"operation_count":2,"complexity_ratio":42.5,"tree":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":2671,"base":9},"right_expr":{"type":"numeric_atoms","value":2497,"base":9}}},"used_operators":["R5aXW34M0v","AdZkA7nFnk"],"dependent_operators":["L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6"],"result":"⋋%⋟-15483","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2671","layer":2},{"info":"number node, value=2497","layer":2},{"info":"compute binary expreesion, left_input=2671, right_input=2497, 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 = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=-10605","layer":0}],"base":9,"result_base":9,"text":"∨∊⋏(⋋%⋟3587⋅⇍⋋%⋟3374)=⋋%⋟-15483","reverse_text":"⋋%⋟-15483=∨∊⋏(⋋%⋟3587⋅⇍⋋%⋟3374)","cot":[{"info":"⋋%⋟3587⋅⇍⋋%⋟3374=⋋%⋟-24","layer":1},{"info":"∨∊⋏⋋%⋟-24=⋋%⋟-15483","layer":0}]}
+{"id":943,"expression_no_base_symbol":"(≯$1767$)⊝⪿⪼($6954$⪁$2259$)","expression":"(≯⋋%⋟2373)⊝⪿⪼(⋋%⋟10476⪁⋋%⋟3080)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":58039298,"operation_count":3,"complexity_ratio":19346432.666666668,"tree":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"numeric_atoms","value":1767,"base":9}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":6954,"base":9},"right_expr":{"type":"numeric_atoms","value":2259,"base":9}}},"used_operators":["3Oe9XWJUTD","keWfFq85dY","I7sXao9hZE"],"dependent_operators":["NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","g55IO6H4Gj","JLbD19bQDL","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY"],"result":"⋋%⋟14555","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1767","layer":2},{"info":"compute unary expreesion, input=1767, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":1},{"info":"number node, value=6954","layer":2},{"info":"number node, value=2259","layer":2},{"info":"compute binary expreesion, left_input=6954, right_input=2259, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":1},{"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":0}],"base":9,"result_base":9,"text":"(≯⋋%⋟2373)⊝⪿⪼(⋋%⋟10476⪁⋋%⋟3080)=⋋%⋟14555","reverse_text":"⋋%⋟14555=(≯⋋%⋟2373)⊝⪿⪼(⋋%⋟10476⪁⋋%⋟3080)","cot":[{"info":"≯⋋%⋟2373=⋋%⋟0","layer":1},{"info":"⋋%⋟10476⪁⋋%⋟3080=NaN","layer":1},{"info":"⋋%⋟0⊝⪿⪼NaN=⋋%⋟14555","layer":0}]}
+{"id":944,"expression_no_base_symbol":"⇖⫷⫕$2357$+⪬∐$2391$","expression":"⇖⫷⫕⋋%⋟3208+⪬∐⋋%⋟3246","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":832,"operation_count":2,"complexity_ratio":416.0,"tree":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":2357,"base":9},"right_expr":{"type":"numeric_atoms","value":2391,"base":9}}},"used_operators":["UHmRx3INFg","2GS7woTJqF"],"dependent_operators":["DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","g55IO6H4Gj","D4vGDi5EA2"],"result":"⋋%⋟3775","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2357","layer":2},{"info":"number node, value=2391","layer":2},{"info":"compute binary expreesion, left_input=2357, right_input=2391, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-7071","layer":1},{"info":"compute unary expreesion, input=-7071, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":0}],"base":9,"result_base":9,"text":"⇖⫷⫕⋋%⋟3208+⪬∐⋋%⋟3246=⋋%⋟3775","reverse_text":"⋋%⋟3775=⇖⫷⫕⋋%⋟3208+⪬∐⋋%⋟3246","cot":[{"info":"⋋%⋟3208+⪬∐⋋%⋟3246=⋋%⋟-10626","layer":1},{"info":"⇖⫷⫕⋋%⋟-10626=⋋%⋟3775","layer":0}]}
+{"id":945,"expression_no_base_symbol":"$1363$∊∟⩊$2383$⋻⩜⩜$2741$↡⊰⫅$2288$","expression":"⋋%⋟1774∊∟⩊⋋%⋟3237⋻⩜⩜⋋%⋟3675↡⊰⫅⋋%⋟3122","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":96118,"operation_count":3,"complexity_ratio":32039.333333333332,"tree":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":1363,"base":9},"right_expr":{"type":"numeric_atoms","value":2383,"base":9}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":2741,"base":9},"right_expr":{"type":"numeric_atoms","value":2288,"base":9}}},"used_operators":["oDCm7WA9JY","ddLRYrp01A","VCtxkLNOzz"],"dependent_operators":["mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn"],"result":"⋋%⋟6475","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1363","layer":2},{"info":"number node, value=2383","layer":2},{"info":"compute binary expreesion, left_input=1363, right_input=2383, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=2383","layer":1},{"info":"number node, value=2741","layer":2},{"info":"number node, value=2288","layer":2},{"info":"compute binary expreesion, left_input=2741, right_input=2288, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=4576","layer":1},{"info":"compute binary expreesion, left_input=2383, right_input=4576, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=4766","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟1774∊∟⩊⋋%⋟3237⋻⩜⩜⋋%⋟3675↡⊰⫅⋋%⋟3122=⋋%⋟6475","reverse_text":"⋋%⋟6475=⋋%⋟1774∊∟⩊⋋%⋟3237⋻⩜⩜⋋%⋟3675↡⊰⫅⋋%⋟3122","cot":[{"info":"⋋%⋟1774∊∟⩊⋋%⋟3237=⋋%⋟3237","layer":1},{"info":"⋋%⋟3675↡⊰⫅⋋%⋟3122=⋋%⋟6244","layer":1},{"info":"⋋%⋟3237⋻⩜⩜⋋%⋟6244=⋋%⋟6475","layer":0}]}
+{"id":946,"expression_no_base_symbol":"($3770$↡⊰⫅$1497$)⇤(≛$1093$)","expression":"(⋋%⋟5148↡⊰⫅⋋%⋟2043)⇤(≛⋋%⋟1444)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":21014,"operation_count":3,"complexity_ratio":7004.666666666667,"tree":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":3770,"base":9},"right_expr":{"type":"numeric_atoms","value":1497,"base":9}},"right_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"numeric_atoms","value":1093,"base":9}}},"used_operators":["YSKBFp38Pu","VCtxkLNOzz","W7eaUhjymW"],"dependent_operators":["rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C"],"result":"⋋%⋟-17503","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3770","layer":2},{"info":"number node, value=1497","layer":2},{"info":"compute binary expreesion, left_input=3770, right_input=1497, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=2994","layer":1},{"info":"number node, value=1093","layer":2},{"info":"compute unary expreesion, input=1093, 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 binary expreesion, left_input=2994, right_input=-10, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-12072","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟5148↡⊰⫅⋋%⋟2043)⇤(≛⋋%⋟1444)=⋋%⋟-17503","reverse_text":"⋋%⋟-17503=(⋋%⋟5148↡⊰⫅⋋%⋟2043)⇤(≛⋋%⋟1444)","cot":[{"info":"⋋%⋟5148↡⊰⫅⋋%⋟2043=⋋%⋟4086","layer":1},{"info":"≛⋋%⋟1444=⋋%⋟-11","layer":1},{"info":"⋋%⋟4086⇤⋋%⋟-11=⋋%⋟-17503","layer":0}]}
+{"id":947,"expression_no_base_symbol":"($1686$⪕$1165$)⪔⊥($2773$⇷$2611$)","expression":"(⋋%⋟2273⪕⋋%⋟1534)⪔⊥(⋋%⋟3721⇷⋋%⋟3521)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":38858,"operation_count":3,"complexity_ratio":12952.666666666666,"tree":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":1686,"base":9},"right_expr":{"type":"numeric_atoms","value":1165,"base":9}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2773,"base":9},"right_expr":{"type":"numeric_atoms","value":2611,"base":9}}},"used_operators":["HJ9erzHUuu","umQnsF7QlU","mp7IySMOzn"],"dependent_operators":["eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"⋋%⋟2407","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1686","layer":2},{"info":"number node, value=1165","layer":2},{"info":"compute binary expreesion, left_input=1686, right_input=1165, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=3108","layer":1},{"info":"number node, value=2773","layer":2},{"info":"number node, value=2611","layer":2},{"info":"compute binary expreesion, left_input=2773, right_input=2611, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=5222","layer":1},{"info":"compute binary expreesion, left_input=3108, right_input=5222, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=1789","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟2273⪕⋋%⋟1534)⪔⊥(⋋%⋟3721⇷⋋%⋟3521)=⋋%⋟2407","reverse_text":"⋋%⋟2407=(⋋%⋟2273⪕⋋%⋟1534)⪔⊥(⋋%⋟3721⇷⋋%⋟3521)","cot":[{"info":"⋋%⋟2273⪕⋋%⋟1534=⋋%⋟4233","layer":1},{"info":"⋋%⋟3721⇷⋋%⋟3521=⋋%⋟7142","layer":1},{"info":"⋋%⋟4233⪔⊥⋋%⋟7142=⋋%⋟2407","layer":0}]}
+{"id":948,"expression_no_base_symbol":"($3094$⪶≀⋏$1319$)⋕⪉⪜$1086$⪃⊛⇣$4495$","expression":"(⋋%⋟4217⪶≀⋏⋋%⋟1725)⋕⪉⪜⋋%⋟1436⪃⊛⇣⋋%⋟6144","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":610,"operation_count":3,"complexity_ratio":203.33333333333334,"tree":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":3094,"base":9},"right_expr":{"type":"numeric_atoms","value":1319,"base":9}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":1086,"base":9},"right_expr":{"type":"numeric_atoms","value":4495,"base":9}}},"used_operators":["z6LnFrNh4i","zR4jO40bMj","rrgAzCduG9"],"dependent_operators":["sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA"],"result":"⋋%⋟246","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3094","layer":2},{"info":"number node, value=1319","layer":2},{"info":"compute binary expreesion, left_input=3094, right_input=1319, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-12152","layer":1},{"info":"number node, value=1086","layer":2},{"info":"number node, value=4495","layer":2},{"info":"compute binary expreesion, left_input=1086, right_input=4495, 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=-12152, right_input=1234, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟4217⪶≀⋏⋋%⋟1725)⋕⪉⪜⋋%⋟1436⪃⊛⇣⋋%⋟6144=⋋%⋟246","reverse_text":"⋋%⋟246=(⋋%⋟4217⪶≀⋏⋋%⋟1725)⋕⪉⪜⋋%⋟1436⪃⊛⇣⋋%⋟6144","cot":[{"info":"⋋%⋟4217⪶≀⋏⋋%⋟1725=⋋%⋟-17602","layer":1},{"info":"⋋%⋟1436⪃⊛⇣⋋%⋟6144=⋋%⋟1621","layer":1},{"info":"⋋%⋟-17602⋕⪉⪜⋋%⋟1621=⋋%⋟246","layer":0}]}
+{"id":949,"expression_no_base_symbol":"≸≮(⫡⇟⇯$4175$)","expression":"≸≮(⫡⇟⇯⋋%⋟5648)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":19672,"operation_count":2,"complexity_ratio":9836.0,"tree":{"type":"unary","operator":"≸≮","unary_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"numeric_atoms","value":4175,"base":9}}},"used_operators":["AljMvE3RRm","qWUSsah53b"],"dependent_operators":["3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","DZ8iAZOCBD","P8v4zCKN1o"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=4175","layer":2},{"info":"compute unary expreesion, input=4175, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=9218","layer":1},{"info":"compute unary expreesion, input=9218, 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":9,"result_base":9,"text":"≸≮(⫡⇟⇯⋋%⋟5648)=NaN","reverse_text":"NaN=≸≮(⫡⇟⇯⋋%⋟5648)","cot":[{"info":"⫡⇟⇯⋋%⋟5648=⋋%⋟13572","layer":1},{"info":"≸≮⋋%⋟13572=NaN","layer":0}]}
+{"id":950,"expression_no_base_symbol":"(⩏⊷≩$1642$)⋻⩜⩜($1636$∽$4863$)","expression":"(⩏⊷≩⋋%⋟2224)⋻⩜⩜(⋋%⋟2217∽⋋%⋟6603)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":316307,"operation_count":3,"complexity_ratio":105435.66666666667,"tree":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"numeric_atoms","value":1642,"base":9}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":1636,"base":9},"right_expr":{"type":"numeric_atoms","value":4863,"base":9}}},"used_operators":["oDCm7WA9JY","uOZ1tnYMDE","y4ImoPnbV5"],"dependent_operators":["mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","23Mk6UjR3U","12rbrZMWeM","NTOWxs364D","QMFrweE19q"],"result":"⋋%⋟8158","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1642","layer":2},{"info":"compute unary expreesion, input=1642, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=2983","layer":1},{"info":"number node, value=1636","layer":2},{"info":"number node, value=4863","layer":2},{"info":"compute binary expreesion, left_input=1636, right_input=4863, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-22591","layer":1},{"info":"compute binary expreesion, left_input=2983, right_input=-22591, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=5966","layer":0}],"base":9,"result_base":9,"text":"(⩏⊷≩⋋%⋟2224)⋻⩜⩜(⋋%⋟2217∽⋋%⋟6603)=⋋%⋟8158","reverse_text":"⋋%⋟8158=(⩏⊷≩⋋%⋟2224)⋻⩜⩜(⋋%⋟2217∽⋋%⋟6603)","cot":[{"info":"⩏⊷≩⋋%⋟2224=⋋%⋟4074","layer":1},{"info":"⋋%⋟2217∽⋋%⋟6603=⋋%⋟-33881","layer":1},{"info":"⋋%⋟4074⋻⩜⩜⋋%⋟-33881=⋋%⋟8158","layer":0}]}
+{"id":951,"expression_no_base_symbol":"($6131$∺≝⩲$2147$)⨔⇊($1882$⫠↝⫳)","expression":"(⋋%⋟8362∺≝⩲⋋%⋟2845)⨔⇊(⋋%⋟2521⫠↝⫳)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":29,"operation_count":3,"complexity_ratio":9.666666666666666,"tree":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":6131,"base":9},"right_expr":{"type":"numeric_atoms","value":2147,"base":9}},"right_expr":{"type":"unary","operator":"⫠↝⫳","unary_expr":{"type":"numeric_atoms","value":1882,"base":9}}},"used_operators":["JclMnS0uGI","KPf6cnQVty","8n5YIzOsVS"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","9FxExcQeMw","g55IO6H4Gj","2td37pGCOC","QMFrweE19q"],"result":"⋋%⋟102417","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=6131","layer":2},{"info":"number node, value=2147","layer":2},{"info":"compute binary expreesion, left_input=6131, right_input=2147, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":1},{"info":"number node, value=1882","layer":2},{"info":"compute unary expreesion, input=1882, op_id = 8n5YIzOsVS, unary_op_definition = 'a⫠↝⫳ = { (((a⨸���a)⩷∴(⩦⩻⨪a))⫡⨏a) }', output=60847","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=60847, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=60847","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟8362∺≝⩲⋋%⋟2845)⨔⇊(⋋%⋟2521⫠↝⫳)=⋋%⋟102417","reverse_text":"⋋%⋟102417=(⋋%⋟8362∺≝⩲⋋%⋟2845)⨔⇊(⋋%⋟2521⫠↝⫳)","cot":[{"info":"⋋%⋟8362∺≝⩲⋋%⋟2845=⋋%⋟187","layer":1},{"info":"⋋%⋟2521⫠↝⫳=⋋%⋟102417","layer":1},{"info":"⋋%⋟187⨔⇊⋋%⋟102417=⋋%⋟102417","layer":0}]}
+{"id":952,"expression_no_base_symbol":"($1387$∕⩚$6380$)⫢⨠$1076$⩌⋺$3669$","expression":"(⋋%⋟1811∕⩚⋋%⋟8668)⫢⨠⋋%⋟1425⩌⋺⋋%⋟5026","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":1467,"operation_count":3,"complexity_ratio":489.0,"tree":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":1387,"base":9},"right_expr":{"type":"numeric_atoms","value":6380,"base":9}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":1076,"base":9},"right_expr":{"type":"numeric_atoms","value":3669,"base":9}}},"used_operators":["xlXykHWxX1","z9ffQ9n5Zr","g7Hmc5v1ko"],"dependent_operators":["KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q"],"result":"⋋%⋟73817","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1387","layer":2},{"info":"number node, value=6380","layer":2},{"info":"compute binary expreesion, left_input=1387, right_input=6380, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-1390","layer":1},{"info":"number node, value=1076","layer":2},{"info":"number node, value=3669","layer":2},{"info":"compute binary expreesion, left_input=1076, right_input=3669, 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=-4866","layer":1},{"info":"compute binary expreesion, left_input=-1390, right_input=-4866, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=48778","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟1811∕⩚⋋%⋟8668)⫢⨠⋋%⋟1425⩌⋺⋋%⋟5026=⋋%⋟73817","reverse_text":"⋋%⋟73817=(⋋%⋟1811∕⩚⋋%⋟8668)⫢⨠⋋%⋟1425⩌⋺⋋%⋟5026","cot":[{"info":"⋋%⋟1811∕⩚⋋%⋟8668=⋋%⋟-1814","layer":1},{"info":"⋋%⋟1425⩌⋺⋋%⋟5026=⋋%⋟-6606","layer":1},{"info":"⋋%⋟-1814⫢⨠⋋%⋟-6606=⋋%⋟73817","layer":0}]}
+{"id":953,"expression_no_base_symbol":"(⩩$1067$)⫌⩉⩟$3512$⫣⪄⊒$3104$","expression":"(⩩⋋%⋟1415)⫌⩉⩟⋋%⋟4732⫣⪄⊒⋋%⋟4228","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":117290,"operation_count":3,"complexity_ratio":39096.666666666664,"tree":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"numeric_atoms","value":1067,"base":9}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":3512,"base":9},"right_expr":{"type":"numeric_atoms","value":3104,"base":9}}},"used_operators":["XIIwhv8d0m","kMhfGuqI2H","RabNbG55vr"],"dependent_operators":["B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI"],"result":"⋋%⋟-55","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1067","layer":2},{"info":"compute unary expreesion, input=1067, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":1},{"info":"number node, value=3512","layer":2},{"info":"number node, value=3104","layer":2},{"info":"compute binary expreesion, left_input=3512, right_input=3104, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-12112","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-12112, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":0}],"base":9,"result_base":9,"text":"(⩩⋋%⋟1415)⫌⩉⩟⋋%⋟4732⫣⪄⊒⋋%⋟4228=⋋%⋟-55","reverse_text":"⋋%⋟-55=(⩩⋋%⋟1415)⫌⩉⩟⋋%⋟4732⫣⪄⊒⋋%⋟4228","cot":[{"info":"⩩⋋%⋟1415=NaN","layer":1},{"info":"⋋%⋟4732⫣⪄⊒⋋%⋟4228=⋋%⋟-17547","layer":1},{"info":"NaN⫌⩉⩟⋋%⋟-17547=⋋%⋟-55","layer":0}]}
+{"id":954,"expression_no_base_symbol":"(⊖∈$5528$)⨸($1333$⇷$5455$)","expression":"(⊖∈⋋%⋟7522)⨸(⋋%⋟1741⇷⋋%⋟7431)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":123801,"operation_count":3,"complexity_ratio":41267.0,"tree":{"type":"binary","operator":"⨸","left_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"numeric_atoms","value":5528,"base":9}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1333,"base":9},"right_expr":{"type":"numeric_atoms","value":5455,"base":9}}},"used_operators":["KmoU8R5UQR","YFxL8Sc2Zy","mp7IySMOzn"],"dependent_operators":["ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"⋋%⋟348867","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=5528","layer":2},{"info":"compute unary expreesion, input=5528, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=104966","layer":1},{"info":"number node, value=1333","layer":2},{"info":"number node, value=5455","layer":2},{"info":"compute binary expreesion, left_input=1333, right_input=5455, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=10910","layer":1},{"info":"compute binary expreesion, left_input=104966, right_input=10910, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=209932","layer":0}],"base":9,"result_base":9,"text":"(⊖∈⋋%⋟7522)⨸(⋋%⋟1741⇷⋋%⋟7431)=⋋%⋟348867","reverse_text":"⋋%⋟348867=(⊖∈⋋%⋟7522)⨸(⋋%⋟1741⇷⋋%⋟7431)","cot":[{"info":"⊖∈⋋%⋟7522=⋋%⋟168878","layer":1},{"info":"⋋%⋟1741⇷⋋%⋟7431=⋋%⋟15862","layer":1},{"info":"⋋%⋟168878⨸⋋%⋟15862=⋋%⋟348867","layer":0}]}
+{"id":955,"expression_no_base_symbol":"($1862$⊵↤)⪭$6151$⊮⊟↴$1827$","expression":"(⋋%⋟2488⊵↤)⪭⋋%⋟8384⊮⊟↴⋋%⋟2450","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":73,"operation_count":3,"complexity_ratio":24.333333333333332,"tree":{"type":"binary","operator":"⪭","left_expr":{"type":"unary","operator":"⊵↤","unary_expr":{"type":"numeric_atoms","value":1862,"base":9}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":6151,"base":9},"right_expr":{"type":"numeric_atoms","value":1827,"base":9}}},"used_operators":["j9kHMeSvPp","7IPrd9c3lf","QDVgd2eftb"],"dependent_operators":["COABgblf1C","xUOZtlo3hN","eLAdDNolq6","W4YGzv6Whe","9FxExcQeMw","Qy55tPpLXF","BjRHVeLaeN","tifHPKVTfV","2DDjHMKMc0","f6k1SAg4EE","Z2TMIBDE3Q","eewbuw0ToL","QMFrweE19q","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK"],"result":"⋋%⋟-287","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1862","layer":2},{"info":"compute unary expreesion, input=1862, 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":1},{"info":"number node, value=6151","layer":2},{"info":"number node, value=1827","layer":2},{"info":"compute binary expreesion, left_input=6151, right_input=1827, 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=67, right_input=0, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=-241","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟2488⊵↤)⪭⋋%⋟8384⊮⊟↴⋋%⋟2450=⋋%⋟-287","reverse_text":"⋋%⋟-287=(⋋%⋟2488⊵↤)⪭⋋%⋟8384⊮⊟↴⋋%⋟2450","cot":[{"info":"⋋%⋟2488⊵↤=⋋%⋟74","layer":1},{"info":"⋋%⋟8384⊮⊟↴⋋%⋟2450=⋋%⋟0","layer":1},{"info":"⋋%⋟74⪭⋋%⋟0=⋋%⋟-287","layer":0}]}
+{"id":956,"expression_no_base_symbol":"($1287$⋅⇍$4364$)≝⊿(⇠$4654$)","expression":"(⋋%⋟1680⋅⇍⋋%⋟5878)≝⊿(⇠⋋%⋟6341)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":27,"operation_count":3,"complexity_ratio":9.0,"tree":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":1287,"base":9},"right_expr":{"type":"numeric_atoms","value":4364,"base":9}},"right_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"numeric_atoms","value":4654,"base":9}}},"used_operators":["OKKcZfAt5B","AdZkA7nFnk","18saOjeKKm"],"dependent_operators":["12rbrZMWeM","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx"],"result":"⋋%⋟12356","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1287","layer":2},{"info":"number node, value=4364","layer":2},{"info":"compute binary expreesion, left_input=1287, right_input=4364, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":1},{"info":"number node, value=4654","layer":2},{"info":"compute unary expreesion, input=4654, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-4412","layer":1},{"info":"compute binary expreesion, left_input=-22, right_input=-4412, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=8313","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟1680⋅⇍⋋%⋟5878)≝⊿(⇠⋋%⋟6341)=⋋%⋟12356","reverse_text":"⋋%⋟12356=(⋋%⋟1680⋅⇍⋋%⋟5878)≝⊿(⇠⋋%⋟6341)","cot":[{"info":"⋋%⋟1680⋅⇍⋋%⋟5878=⋋%⋟-24","layer":1},{"info":"⇠⋋%⋟6341=⋋%⋟-6042","layer":1},{"info":"⋋%⋟-24≝⊿⋋%⋟-6042=⋋%⋟12356","layer":0}]}
+{"id":957,"expression_no_base_symbol":"⫇($1352$⩚⊴⇥$3118$)","expression":"⫇(⋋%⋟1762⩚⊴⇥⋋%⋟4244)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":9,"operation_count":2,"complexity_ratio":4.5,"tree":{"type":"unary","operator":"⫇","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1352,"base":9},"right_expr":{"type":"numeric_atoms","value":3118,"base":9}}},"used_operators":["YjI8oCXuph","NTOWxs364D"],"dependent_operators":["rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⋋%⋟-5000","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1352","layer":2},{"info":"number node, value=3118","layer":2},{"info":"compute binary expreesion, left_input=1352, right_input=3118, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4591","layer":1},{"info":"compute unary expreesion, input=-4591, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-3645","layer":0}],"base":9,"result_base":9,"text":"⫇(⋋%⋟1762⩚⊴⇥⋋%⋟4244)=⋋%⋟-5000","reverse_text":"⋋%⋟-5000=⫇(⋋%⋟1762⩚⊴⇥⋋%⋟4244)","cot":[{"info":"⋋%⋟1762⩚⊴⇥⋋%⋟4244=⋋%⋟-6261","layer":1},{"info":"⫇⋋%⋟-6261=⋋%⋟-5000","layer":0}]}
+{"id":958,"expression_no_base_symbol":"($1000$⊝⪿⪼$2577$)⪪($1012$⊵↤)","expression":"(⋋%⋟1331⊝⪿⪼⋋%⋟3473)⪪(⋋%⋟1344⊵↤)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":74982,"operation_count":3,"complexity_ratio":24994.0,"tree":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":1000,"base":9},"right_expr":{"type":"numeric_atoms","value":2577,"base":9}},"right_expr":{"type":"unary","operator":"⊵↤","unary_expr":{"type":"numeric_atoms","value":1012,"base":9}}},"used_operators":["xD69zh8xqp","3Oe9XWJUTD","7IPrd9c3lf"],"dependent_operators":["FU0Cs4j7VP","JclMnS0uGI","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","eLAdDNolq6","W4YGzv6Whe","9FxExcQeMw","Qy55tPpLXF","BjRHVeLaeN","tifHPKVTfV","2DDjHMKMc0","f6k1SAg4EE","Z2TMIBDE3Q","eewbuw0ToL","QMFrweE19q"],"result":"⋋%⋟-7061780","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1000","layer":2},{"info":"number node, value=2577","layer":2},{"info":"compute binary expreesion, left_input=1000, right_input=2577, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=24932","layer":1},{"info":"number node, value=1012","layer":2},{"info":"compute unary expreesion, input=1012, 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":1},{"info":"compute binary expreesion, left_input=24932, right_input=67, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-3760821","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟1331⊝⪿⪼⋋%⋟3473)⪪(⋋%⋟1344⊵↤)=⋋%⋟-7061780","reverse_text":"⋋%⋟-7061780=(⋋%⋟1331⊝⪿⪼⋋%⋟3473)⪪(⋋%⋟1344⊵↤)","cot":[{"info":"⋋%⋟1331⊝⪿⪼⋋%⋟3473=⋋%⋟37172","layer":1},{"info":"⋋%⋟1344⊵↤=⋋%⋟74","layer":1},{"info":"⋋%⋟37172⪪⋋%⋟74=⋋%⋟-7061780","layer":0}]}
+{"id":959,"expression_no_base_symbol":"$7228$⇤$1355$↢($8902$∘$6192$)","expression":"⋋%⋟10821⇤⋋%⋟1765↢(⋋%⋟13181∘⋋%⋟8440)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":32,"operation_count":3,"complexity_ratio":10.666666666666666,"tree":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":7228,"base":9},"right_expr":{"type":"numeric_atoms","value":1355,"base":9}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":8902,"base":9},"right_expr":{"type":"numeric_atoms","value":6192,"base":9}}},"used_operators":["WR6HLWljOP","YSKBFp38Pu","Z5m6OM72h2"],"dependent_operators":["eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","eH2TOUuTDT","rysDP5nf3Z"],"result":"⋋%⋟-67063","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=7228","layer":2},{"info":"number node, value=1355","layer":2},{"info":"compute binary expreesion, left_input=7228, right_input=1355, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-40067","layer":1},{"info":"number node, value=8902","layer":2},{"info":"number node, value=6192","layer":2},{"info":"compute binary expreesion, left_input=8902, right_input=6192, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=17804","layer":1},{"info":"compute binary expreesion, left_input=-40067, right_input=17804, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=-44526","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟10821⇤⋋%⋟1765↢(⋋%⋟13181∘⋋%⋟8440)=⋋%⋟-67063","reverse_text":"⋋%⋟-67063=⋋%⋟10821⇤⋋%⋟1765↢(⋋%⋟13181∘⋋%⋟8440)","cot":[{"info":"⋋%⋟10821⇤⋋%⋟1765=⋋%⋟-60858","layer":1},{"info":"⋋%⋟13181∘⋋%⋟8440=⋋%⋟26372","layer":1},{"info":"⋋%⋟-60858↢⋋%⋟26372=⋋%⋟-67063","layer":0}]}
+{"id":960,"expression_no_base_symbol":"$2883$⊋≦⊧$4075$≭$1842$⨼⩣$2050$","expression":"⋋%⋟3853⊋≦⊧⋋%⋟5527≭⋋%⋟2466⨼⩣⋋%⋟2727","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":389,"operation_count":3,"complexity_ratio":129.66666666666666,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":2883,"base":9},"right_expr":{"type":"numeric_atoms","value":4075,"base":9}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":1842,"base":9},"right_expr":{"type":"numeric_atoms","value":2050,"base":9}}},"used_operators":["rxpJgHHUmx","oRDoc9rAEX","JxwMv5le6e"],"dependent_operators":["AHs5Up7iyr","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2883","layer":2},{"info":"number node, value=4075","layer":2},{"info":"compute binary expreesion, left_input=2883, right_input=4075, 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=-6718","layer":1},{"info":"number node, value=1842","layer":2},{"info":"number node, value=2050","layer":2},{"info":"compute binary expreesion, left_input=1842, right_input=2050, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-6718, 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":0}],"base":9,"result_base":9,"text":"⋋%⋟3853⊋≦⊧⋋%⋟5527≭⋋%⋟2466⨼⩣⋋%⋟2727=NaN","reverse_text":"NaN=⋋%⋟3853⊋≦⊧⋋%⋟5527≭⋋%⋟2466⨼⩣⋋%⋟2727","cot":[{"info":"⋋%⋟3853⊋≦⊧⋋%⋟5527=⋋%⋟-10184","layer":1},{"info":"⋋%⋟2466⨼⩣⋋%⋟2727=NaN","layer":1},{"info":"⋋%⋟-10184≭NaN=NaN","layer":0}]}
+{"id":961,"expression_no_base_symbol":"($3344$⋷$2898$)⇆⨓≜","expression":"(⋋%⋟4525⋷⋋%⋟3870)⇆⨓≜","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":158,"operation_count":2,"complexity_ratio":79.0,"tree":{"type":"unary","operator":"⇆⨓≜","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":3344,"base":9},"right_expr":{"type":"numeric_atoms","value":2898,"base":9}}},"used_operators":["KvvgdUaMHJ","23Mk6UjR3U"],"dependent_operators":["Uaa54Peajs","KYD54nUTWz","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=3344","layer":2},{"info":"number node, value=2898","layer":2},{"info":"compute binary expreesion, left_input=3344, right_input=2898, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=2452","layer":1},{"info":"compute unary expreesion, input=2452, op_id = KvvgdUaMHJ, unary_op_definition = 'a⇆⨓≜ = { (∂(a⫥∨⫟a)) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟4525⋷⋋%⋟3870)⇆⨓≜=NaN","reverse_text":"NaN=(⋋%⋟4525⋷⋋%⋟3870)⇆⨓≜","cot":[{"info":"⋋%⋟4525⋷⋋%⋟3870=⋋%⋟3324","layer":1},{"info":"⋋%⋟3324⇆⨓≜=NaN","layer":0}]}
+{"id":962,"expression_no_base_symbol":"($1149$∋$5942$)↓(⪸$1226$)","expression":"(⋋%⋟1516∋⋋%⋟8132)↓(⪸⋋%⋟1612)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":289283,"operation_count":3,"complexity_ratio":96427.66666666667,"tree":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":1149,"base":9},"right_expr":{"type":"numeric_atoms","value":5942,"base":9}},"right_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"numeric_atoms","value":1226,"base":9}}},"used_operators":["Af076pWI7l","ukq6epAj5P","86A5ENbKR9"],"dependent_operators":["nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q"],"result":"⋋%⋟-158","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1149","layer":2},{"info":"number node, value=5942","layer":2},{"info":"compute binary expreesion, left_input=1149, right_input=5942, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=12317900","layer":1},{"info":"number node, value=1226","layer":2},{"info":"compute unary expreesion, input=1226, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-20633","layer":1},{"info":"compute binary expreesion, left_input=12317900, right_input=-20633, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟1516∋⋋%⋟8132)↓(⪸⋋%⋟1612)=⋋%⋟-158","reverse_text":"⋋%⋟-158=(⋋%⋟1516∋⋋%⋟8132)↓(⪸⋋%⋟1612)","cot":[{"info":"⋋%⋟1516∋⋋%⋟8132=⋋%⋟25153875","layer":1},{"info":"⪸⋋%⋟1612=⋋%⋟-31265","layer":1},{"info":"⋋%⋟25153875↓⋋%⋟-31265=⋋%⋟-158","layer":0}]}
+{"id":963,"expression_no_base_symbol":"($3474$⩘⨬⇊)⫗⊷⫓($6073$⫔⩽⩺$1017$)","expression":"(⋋%⋟4680⩘⨬⇊)⫗⊷⫓(⋋%⋟8287⫔⩽⩺⋋%⋟1350)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":90006,"operation_count":3,"complexity_ratio":30002.0,"tree":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"unary","operator":"⩘⨬⇊","unary_expr":{"type":"numeric_atoms","value":3474,"base":9}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":6073,"base":9},"right_expr":{"type":"numeric_atoms","value":1017,"base":9}}},"used_operators":["zashukvMKz","XXmTpEpWTW","i9eR4S00cU"],"dependent_operators":["xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","rxpJgHHUmx","HnzytWxmAO","8cLx32lpNA","Tw270M8GLb","fu6greOZ01"],"result":"⋋%⋟-158","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=3474","layer":2},{"info":"compute unary expreesion, input=3474, op_id = XXmTpEpWTW, unary_op_definition = 'a⩘⨬⇊ = { ((a⇴∐a)∌(a≭31)) }', output=nan","layer":1},{"info":"number node, value=6073","layer":2},{"info":"number node, value=1017","layer":2},{"info":"compute binary expreesion, left_input=6073, right_input=1017, 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 = zashukvMKz binary_op_definition= 'a⫗⊷⫓b = { ((∂(b⨂≜a))⫩⊇) , if (↣≠⋷b)<=196 ; ((∷≠(a⊋≦⊧b))↓((b≎⊠⪸a)⪪(a≀⩗∶b))) , else }', output=-134","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟4680⩘⨬⇊)⫗⊷⫓(⋋%⋟8287⫔⩽⩺⋋%⋟1350)=⋋%⋟-158","reverse_text":"⋋%⋟-158=(⋋%⋟4680⩘⨬⇊)⫗⊷⫓(⋋%⋟8287⫔⩽⩺⋋%⋟1350)","cot":[{"info":"⋋%⋟4680⩘⨬⇊=NaN","layer":1},{"info":"⋋%⋟8287⫔⩽⩺⋋%⋟1350=NaN","layer":1},{"info":"NaN⫗⊷⫓NaN=⋋%⋟-158","layer":0}]}
+{"id":964,"expression_no_base_symbol":"(∓$6707$)⫔⩽⩺($1882$∀⋜↑)","expression":"(∓⋋%⋟10172)⫔⩽⩺(⋋%⋟2521∀⋜↑)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":240003,"operation_count":3,"complexity_ratio":80001.0,"tree":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"numeric_atoms","value":6707,"base":9}},"right_expr":{"type":"unary","operator":"∀⋜↑","unary_expr":{"type":"numeric_atoms","value":1882,"base":9}}},"used_operators":["i9eR4S00cU","OwUj7dcsQK","KipPnG1M2J"],"dependent_operators":["Tw270M8GLb","fu6greOZ01","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","eLAdDNolq6","23Mk6UjR3U","f6k1SAg4EE"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=6707","layer":2},{"info":"compute unary expreesion, input=6707, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-105477","layer":1},{"info":"number node, value=1882","layer":2},{"info":"compute unary expreesion, input=1882, op_id = KipPnG1M2J, unary_op_definition = 'a∀⋜↑ = { ((≤/a)⪒(a⋷a)) }', output=-484","layer":1},{"info":"compute binary expreesion, left_input=-105477, right_input=-484, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(∓⋋%⋟10172)⫔⩽⩺(⋋%⋟2521∀⋜↑)=NaN","reverse_text":"NaN=(∓⋋%⋟10172)⫔⩽⩺(⋋%⋟2521∀⋜↑)","cot":[{"info":"∓⋋%⋟10172=⋋%⋟-170616","layer":1},{"info":"⋋%⋟2521∀⋜↑=⋋%⋟-587","layer":1},{"info":"⋋%⋟-170616⫔⩽⩺⋋%⋟-587=NaN","layer":0}]}
+{"id":965,"expression_no_base_symbol":"(⫯$6120$)↡⊰⫅$1056$≁↽≥$1271$","expression":"(⫯⋋%⋟8350)↡⊰⫅⋋%⋟1403≁↽≥⋋%⋟1662","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":294507,"operation_count":3,"complexity_ratio":98169.0,"tree":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"unary","operator":"⫯","unary_expr":{"type":"numeric_atoms","value":6120,"base":9}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":1056,"base":9},"right_expr":{"type":"numeric_atoms","value":1271,"base":9}}},"used_operators":["VCtxkLNOzz","H6BK1Evt7c","ncHt1X6cMc"],"dependent_operators":["Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","oWn0xqSxBt","3Oe9XWJUTD"],"result":"⋋%⋟63623","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=6120","layer":2},{"info":"compute unary expreesion, input=6120, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=-242252","layer":1},{"info":"number node, value=1056","layer":2},{"info":"number node, value=1271","layer":2},{"info":"compute binary expreesion, left_input=1056, right_input=1271, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=21030","layer":1},{"info":"compute binary expreesion, left_input=-242252, right_input=21030, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=42060","layer":0}],"base":9,"result_base":9,"text":"(⫯⋋%⋟8350)↡⊰⫅⋋%⋟1403≁↽≥⋋%⋟1662=⋋%⋟63623","reverse_text":"⋋%⋟63623=(⫯⋋%⋟8350)↡⊰⫅⋋%⋟1403≁↽≥⋋%⋟1662","cot":[{"info":"⫯⋋%⋟8350=⋋%⋟-408268","layer":1},{"info":"⋋%⋟1403≁↽≥⋋%⋟1662=⋋%⋟31756","layer":1},{"info":"⋋%⋟-408268↡⊰⫅⋋%⋟31756=⋋%⋟63623","layer":0}]}
+{"id":966,"expression_no_base_symbol":"(⪸$1278$)⊝⪿⪼(≸$2092$)","expression":"(⪸⋋%⋟1670)⊝⪿⪼(≸⋋%⋟2774)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":109,"operation_count":3,"complexity_ratio":36.333333333333336,"tree":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"numeric_atoms","value":1278,"base":9}},"right_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"numeric_atoms","value":2092,"base":9}}},"used_operators":["3Oe9XWJUTD","86A5ENbKR9","eOf03JbCpp"],"dependent_operators":["NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI"],"result":"⋋%⋟-526101","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1278","layer":2},{"info":"compute unary expreesion, input=1278, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-21517","layer":1},{"info":"number node, value=2092","layer":2},{"info":"compute unary expreesion, input=2092, 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":1},{"info":"compute binary expreesion, left_input=-21517, right_input=58, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=-312823","layer":0}],"base":9,"result_base":9,"text":"(⪸⋋%⋟1670)⊝⪿⪼(≸⋋%⋟2774)=⋋%⋟-526101","reverse_text":"⋋%⋟-526101=(⪸⋋%⋟1670)⊝⪿⪼(≸⋋%⋟2774)","cot":[{"info":"⪸⋋%⋟1670=⋋%⋟-32457","layer":1},{"info":"≸⋋%⋟2774=⋋%⋟64","layer":1},{"info":"⋋%⋟-32457⊝⪿⪼⋋%⋟64=⋋%⋟-526101","layer":0}]}
+{"id":967,"expression_no_base_symbol":"∐⩳⋚($7489$⪨⊡$5011$)","expression":"∐⩳⋚(⋋%⋟11241⪨⊡⋋%⋟6777)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":148,"operation_count":2,"complexity_ratio":74.0,"tree":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":7489,"base":9},"right_expr":{"type":"numeric_atoms","value":5011,"base":9}}},"used_operators":["SL6IHkK8vl","kuIXHzHcAH"],"dependent_operators":["s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP"],"result":"⋋%⋟-41881","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=7489","layer":2},{"info":"number node, value=5011","layer":2},{"info":"compute binary expreesion, left_input=7489, right_input=5011, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , 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":9,"result_base":9,"text":"∐⩳⋚(⋋%⋟11241⪨⊡⋋%⋟6777)=⋋%⋟-41881","reverse_text":"⋋%⋟-41881=∐⩳⋚(⋋%⋟11241⪨⊡⋋%⋟6777)","cot":[{"info":"⋋%⋟11241⪨⊡⋋%⋟6777=⋋%⋟0","layer":1},{"info":"∐⩳⋚⋋%⋟0=⋋%⋟-41881","layer":0}]}
+{"id":968,"expression_no_base_symbol":"($2220$≬⋮$1068$)↓($4894$⫲⨊)","expression":"(⋋%⋟3036≬⋮⋋%⋟1416)↓(⋋%⋟6637⫲⨊)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":353888,"operation_count":3,"complexity_ratio":117962.66666666667,"tree":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":2220,"base":9},"right_expr":{"type":"numeric_atoms","value":1068,"base":9}},"right_expr":{"type":"unary","operator":"⫲⨊","unary_expr":{"type":"numeric_atoms","value":4894,"base":9}}},"used_operators":["Af076pWI7l","kbkesczE7y","CArV6hThFE"],"dependent_operators":["nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","WmT3o8z6ya","uFcxV4UQCh","2DDjHMKMc0","B3sABdIn96","X99M06cbEe"],"result":"⋋%⋟-158","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2220","layer":2},{"info":"number node, value=1068","layer":2},{"info":"compute binary expreesion, left_input=2220, right_input=1068, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":1},{"info":"number node, value=4894","layer":2},{"info":"compute unary expreesion, input=4894, op_id = CArV6hThFE, unary_op_definition = 'a⫲⨊ = { ((332≫≃)⪹) , if a==35 ; ((a⋘⨑⨽)⋝⋈⪟(a⪛290)) , else }', output=25253","layer":1},{"info":"compute binary expreesion, left_input=868, right_input=25253, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟3036≬⋮⋋%⋟1416)↓(⋋%⋟6637⫲⨊)=⋋%⋟-158","reverse_text":"⋋%⋟-158=(⋋%⋟3036≬⋮⋋%⋟1416)↓(⋋%⋟6637⫲⨊)","cot":[{"info":"⋋%⋟3036≬⋮⋋%⋟1416=⋋%⋟1164","layer":1},{"info":"⋋%⋟6637⫲⨊=⋋%⋟37568","layer":1},{"info":"⋋%⋟1164↓⋋%⋟37568=⋋%⋟-158","layer":0}]}
+{"id":969,"expression_no_base_symbol":"(⨂⪏⇭$2850$)∺≝⩲($8256$⪍↜⋙$1656$)","expression":"(⨂⪏⇭⋋%⋟3816)∺≝⩲(⋋%⋟12283⪍↜⋙⋋%⋟2240)","highest_n_order":1,"priority_hierarchical_complexity":3,"normalized_expansion_degree":42,"operation_count":3,"complexity_ratio":14.0,"tree":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"numeric_atoms","value":2850,"base":9}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":8256,"base":9},"right_expr":{"type":"numeric_atoms","value":1656,"base":9}}},"used_operators":["KPf6cnQVty","AYdpE9sXAk","L05ObWFQCd"],"dependent_operators":["BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q"],"result":"⋋%⋟187","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2850","layer":2},{"info":"compute unary expreesion, input=2850, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=7571","layer":1},{"info":"number node, value=8256","layer":2},{"info":"number node, value=1656","layer":2},{"info":"compute binary expreesion, left_input=8256, right_input=1656, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=13200","layer":1},{"info":"compute binary expreesion, left_input=7571, right_input=13200, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":0}],"base":9,"result_base":9,"text":"(⨂⪏⇭⋋%⋟3816)∺≝⩲(⋋%⋟12283⪍↜⋙⋋%⋟2240)=⋋%⋟187","reverse_text":"⋋%⋟187=(⨂⪏⇭⋋%⋟3816)∺≝⩲(⋋%⋟12283⪍↜⋙⋋%⋟2240)","cot":[{"info":"⨂⪏⇭⋋%⋟3816=⋋%⋟11342","layer":1},{"info":"⋋%⋟12283⪍↜⋙⋋%⋟2240=⋋%⋟20086","layer":1},{"info":"⋋%⋟11342∺≝⩲⋋%⋟20086=⋋%⋟187","layer":0}]}
+{"id":970,"expression_no_base_symbol":"$4488$⪨⊡$8055$↡⊰⫅(⊵⊁$2493$)","expression":"⋋%⋟6136⪨⊡⋋%⋟12040↡⊰⫅(⊵⊁⋋%⋟3370)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":194486,"operation_count":3,"complexity_ratio":64828.666666666664,"tree":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":4488,"base":9},"right_expr":{"type":"numeric_atoms","value":8055,"base":9}},"right_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"numeric_atoms","value":2493,"base":9}}},"used_operators":["VCtxkLNOzz","kuIXHzHcAH","AvED76WdY7"],"dependent_operators":["Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","uBihLCJcMX","k8jYdgA6NY"],"result":"⋋%⋟42082","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=4488","layer":2},{"info":"number node, value=8055","layer":2},{"info":"compute binary expreesion, left_input=4488, right_input=8055, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":1},{"info":"number node, value=2493","layer":2},{"info":"compute unary expreesion, input=2493, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=13888","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=13888, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=27776","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟6136⪨⊡⋋%⋟12040↡⊰⫅(⊵⊁⋋%⋟3370)=⋋%⋟42082","reverse_text":"⋋%⋟42082=⋋%⋟6136⪨⊡⋋%⋟12040↡⊰⫅(⊵⊁⋋%⋟3370)","cot":[{"info":"⋋%⋟6136⪨⊡⋋%⋟12040=⋋%⋟0","layer":1},{"info":"⊵⊁⋋%⋟3370=⋋%⋟21041","layer":1},{"info":"⋋%⋟0↡⊰⫅⋋%⋟21041=⋋%⋟42082","layer":0}]}
+{"id":971,"expression_no_base_symbol":"$1102$⊮⊟↴$4324$⨽($2627$⨀⨒)","expression":"⋋%⋟1454⊮⊟↴⋋%⋟5834⨽(⋋%⋟3538⨀⨒)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":101,"operation_count":3,"complexity_ratio":33.666666666666664,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":1102,"base":9},"right_expr":{"type":"numeric_atoms","value":4324,"base":9}},"right_expr":{"type":"unary","operator":"⨀⨒","unary_expr":{"type":"numeric_atoms","value":2627,"base":9}}},"used_operators":["8HhzD0ZcuI","QDVgd2eftb","j6NVkjMzuk"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","E4l6HwMY31","Ikt5ks8PT7","HmxsFra2vL","oacrs7FA3X"],"result":"⋋%⋟-161080","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1102","layer":2},{"info":"number node, value=4324","layer":2},{"info":"compute binary expreesion, left_input=1102, right_input=4324, 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=2627","layer":2},{"info":"compute unary expreesion, input=2627, op_id = j6NVkjMzuk, unary_op_definition = 'a⨀⨒ = { ((a⪘⫢a)⊔(a⪘⫢a)) , if a!=184 ; ((a⩧⪆a)∙∹∝a) , else }', output=33510","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=33510, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-99216","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟1454⊮⊟↴⋋%⋟5834⨽(⋋%⋟3538⨀⨒)=⋋%⋟-161080","reverse_text":"⋋%⋟-161080=⋋%⋟1454⊮⊟↴⋋%⋟5834⨽(⋋%⋟3538⨀⨒)","cot":[{"info":"⋋%⋟1454⊮⊟↴⋋%⋟5834=⋋%⋟0","layer":1},{"info":"⋋%⋟3538⨀⨒=⋋%⋟50863","layer":1},{"info":"⋋%⋟0⨽⋋%⋟50863=⋋%⋟-161080","layer":0}]}
+{"id":972,"expression_no_base_symbol":"(⊖$1220$)⇼⇔∾($4897$⇼⇔∾$4005$)","expression":"(⊖⋋%⋟1605)⇼⇔∾(⋋%⋟6641⇼⇔∾⋋%⋟5440)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":14,"operation_count":3,"complexity_ratio":4.666666666666667,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"numeric_atoms","value":1220,"base":9}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":4897,"base":9},"right_expr":{"type":"numeric_atoms","value":4005,"base":9}}},"used_operators":["tifHPKVTfV","U6pG0PXrV3"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx"],"result":"⋋%⋟-1201","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1220","layer":2},{"info":"compute unary expreesion, input=1220, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":1},{"info":"number node, value=4897","layer":2},{"info":"number node, value=4005","layer":2},{"info":"compute binary expreesion, left_input=4897, right_input=4005, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-892","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-892, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-892","layer":0}],"base":9,"result_base":9,"text":"(⊖⋋%⋟1605)⇼⇔∾(⋋%⋟6641⇼⇔∾⋋%⋟5440)=⋋%⋟-1201","reverse_text":"⋋%⋟-1201=(⊖⋋%⋟1605)⇼⇔∾(⋋%⋟6641⇼⇔∾⋋%⋟5440)","cot":[{"info":"⊖⋋%⋟1605=⋋%⋟0","layer":1},{"info":"⋋%⋟6641⇼⇔∾⋋%⋟5440=⋋%⋟-1201","layer":1},{"info":"⋋%⋟0⇼⇔∾⋋%⋟-1201=⋋%⋟-1201","layer":0}]}
+{"id":973,"expression_no_base_symbol":"⇺⋃($1206$⨫⇇↔$2609$)","expression":"⇺⋃(⋋%⋟1580⨫⇇↔⋋%⋟3518)","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":398225,"operation_count":2,"complexity_ratio":199112.5,"tree":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":1206,"base":9},"right_expr":{"type":"numeric_atoms","value":2609,"base":9}}},"used_operators":["E5v5B3UAjG","LXhwmt4mBO"],"dependent_operators":["bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK"],"result":"⋋%⋟4454","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1206","layer":2},{"info":"number node, value=2609","layer":2},{"info":"compute binary expreesion, left_input=1206, right_input=2609, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":1},{"info":"compute unary expreesion, input=-527, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=3289","layer":0}],"base":9,"result_base":9,"text":"⇺⋃(⋋%⋟1580⨫⇇↔⋋%⋟3518)=⋋%⋟4454","reverse_text":"⋋%⋟4454=⇺⋃(⋋%⋟1580⨫⇇↔⋋%⋟3518)","cot":[{"info":"⋋%⋟1580⨫⇇↔⋋%⋟3518=⋋%⋟-645","layer":1},{"info":"⇺⋃⋋%⋟-645=⋋%⋟4454","layer":0}]}
+{"id":974,"expression_no_base_symbol":"(⇾⩊⇾$3189$)≝⊿($9622$⩘⨬⇊)","expression":"(⇾⩊⇾⋋%⋟4333)≝⊿(⋋%⋟14171⩘⨬⇊)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":8904,"operation_count":3,"complexity_ratio":2968.0,"tree":{"type":"binary","operator":"≝⊿","left_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"numeric_atoms","value":3189,"base":9}},"right_expr":{"type":"unary","operator":"⩘⨬⇊","unary_expr":{"type":"numeric_atoms","value":9622,"base":9}}},"used_operators":["OKKcZfAt5B","bx9Z9DAK5y","XXmTpEpWTW"],"dependent_operators":["12rbrZMWeM","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","rxpJgHHUmx","HnzytWxmAO","8cLx32lpNA"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3189","layer":2},{"info":"compute unary expreesion, input=3189, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-35187","layer":1},{"info":"number node, value=9622","layer":2},{"info":"compute unary expreesion, input=9622, op_id = XXmTpEpWTW, unary_op_definition = 'a⩘⨬⇊ = { ((a⇴∐a)∌(a≭31)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-35187, right_input=nan, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(⇾⩊⇾⋋%⋟4333)≝⊿(⋋%⋟14171⩘⨬⇊)=NaN","reverse_text":"NaN=(⇾⩊⇾⋋%⋟4333)≝⊿(⋋%⋟14171⩘⨬⇊)","cot":[{"info":"⇾⩊⇾⋋%⋟4333=⋋%⋟-53236","layer":1},{"info":"⋋%⋟14171⩘⨬⇊=NaN","layer":1},{"info":"⋋%⋟-53236≝⊿NaN=NaN","layer":0}]}
+{"id":975,"expression_no_base_symbol":"(⋃$3220$)⨚⇆(⩎⋉$2159$)","expression":"(⋃⋋%⋟4367)⨚⇆(⩎⋉⋋%⋟2858)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":45904,"operation_count":3,"complexity_ratio":15301.333333333334,"tree":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"numeric_atoms","value":3220,"base":9}},"right_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"numeric_atoms","value":2159,"base":9}}},"used_operators":["lwHaAYXP2r","3mBM5G4a3l","FlXk3pOYe8"],"dependent_operators":["gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","g55IO6H4Gj","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=3220","layer":2},{"info":"compute unary expreesion, input=3220, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=6542","layer":1},{"info":"number node, value=2159","layer":2},{"info":"compute unary expreesion, input=2159, 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=6542, right_input=1650, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(⋃⋋%⋟4367)⨚⇆(⩎⋉⋋%⋟2858)=NaN","reverse_text":"NaN=(⋃⋋%⋟4367)⨚⇆(⩎⋉⋋%⋟2858)","cot":[{"info":"⋃⋋%⋟4367=⋋%⋟8868","layer":1},{"info":"⩎⋉⋋%⋟2858=⋋%⋟2233","layer":1},{"info":"⋋%⋟8868⨚⇆⋋%⋟2233=NaN","layer":0}]}
+{"id":976,"expression_no_base_symbol":"$1757$⊮⊟↴$2748$≌($3230$≬⋮$8618$)","expression":"⋋%⋟2362⊮⊟↴⋋%⋟3683≌(⋋%⋟4378≬⋮⋋%⋟12735)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":759687,"operation_count":3,"complexity_ratio":253229.0,"tree":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":1757,"base":9},"right_expr":{"type":"numeric_atoms","value":2748,"base":9}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":3230,"base":9},"right_expr":{"type":"numeric_atoms","value":8618,"base":9}}},"used_operators":["lyWz822IDG","QDVgd2eftb","kbkesczE7y"],"dependent_operators":["B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI"],"result":"⋋%⋟18210","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1757","layer":2},{"info":"number node, value=2748","layer":2},{"info":"compute binary expreesion, left_input=1757, right_input=2748, 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=3230","layer":2},{"info":"number node, value=8618","layer":2},{"info":"compute binary expreesion, left_input=3230, right_input=8618, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":1},{"info":"compute binary expreesion, left_input=0, 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":0}],"base":9,"result_base":9,"text":"⋋%⋟2362⊮⊟↴⋋%⋟3683≌(⋋%⋟4378≬⋮⋋%⋟12735)=⋋%⋟18210","reverse_text":"⋋%⋟18210=⋋%⋟2362⊮⊟↴⋋%⋟3683≌(⋋%⋟4378≬⋮⋋%⋟12735)","cot":[{"info":"⋋%⋟2362⊮⊟↴⋋%⋟3683=⋋%⋟0","layer":1},{"info":"⋋%⋟4378≬⋮⋋%⋟12735=⋋%⋟1164","layer":1},{"info":"⋋%⋟0≌⋋%⋟1164=⋋%⋟18210","layer":0}]}
+{"id":977,"expression_no_base_symbol":"($2856$⪁$3548$)⨱∎","expression":"(⋋%⋟3823⪁⋋%⋟4772)⨱∎","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":141351181,"operation_count":2,"complexity_ratio":70675590.5,"tree":{"type":"unary","operator":"⨱∎","unary_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":2856,"base":9},"right_expr":{"type":"numeric_atoms","value":3548,"base":9}}},"used_operators":["MmTdOpaElr","I7sXao9hZE"],"dependent_operators":["tifHPKVTfV","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=2856","layer":2},{"info":"number node, value=3548","layer":2},{"info":"compute binary expreesion, left_input=2856, right_input=3548, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = MmTdOpaElr, unary_op_definition = 'a⨱∎ = { (a⇼⇔∾a) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟3823⪁⋋%⋟4772)⨱∎=NaN","reverse_text":"NaN=(⋋%⋟3823⪁⋋%⋟4772)⨱∎","cot":[{"info":"⋋%⋟3823⪁⋋%⋟4772=NaN","layer":1},{"info":"NaN⨱∎=NaN","layer":0}]}
+{"id":978,"expression_no_base_symbol":"$3439$⇍⊗$1245$⨎$2297$↞⋁$6819$","expression":"⋋%⋟4641⇍⊗⋋%⋟1633⨎⋋%⋟3132↞⋁⋋%⋟10316","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":215,"operation_count":3,"complexity_ratio":71.66666666666667,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":3439,"base":9},"right_expr":{"type":"numeric_atoms","value":1245,"base":9}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":2297,"base":9},"right_expr":{"type":"numeric_atoms","value":6819,"base":9}}},"used_operators":["rJVOvQCfKK","5uvYHDjeKN","RqrPlJkxDo"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","Uaa54Peajs","CArV6hThFE","13rbtpv6ld"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=3439","layer":2},{"info":"number node, value=1245","layer":2},{"info":"compute binary expreesion, left_input=3439, right_input=1245, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":1},{"info":"number node, value=2297","layer":2},{"info":"number node, value=6819","layer":2},{"info":"compute binary expreesion, left_input=2297, right_input=6819, 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=-244, 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":9,"result_base":9,"text":"⋋%⋟4641⇍⊗⋋%⋟1633⨎⋋%⋟3132↞⋁⋋%⋟10316=NaN","reverse_text":"NaN=⋋%⋟4641⇍⊗⋋%⋟1633⨎⋋%⋟3132↞⋁⋋%⋟10316","cot":[{"info":"⋋%⋟4641⇍⊗⋋%⋟1633=⋋%⋟-301","layer":1},{"info":"⋋%⋟3132↞⋁⋋%⋟10316=NaN","layer":1},{"info":"⋋%⋟-301⨎NaN=NaN","layer":0}]}
+{"id":979,"expression_no_base_symbol":"($1899$%$1141$)⇀∌","expression":"(⋋%⋟2540%⋋%⋟1507)⇀∌","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":579171,"operation_count":2,"complexity_ratio":289585.5,"tree":{"type":"unary","operator":"⇀∌","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1899,"base":9},"right_expr":{"type":"numeric_atoms","value":1141,"base":9}}},"used_operators":["2k53nXOpI5","k8jYdgA6NY"],"dependent_operators":["Q3PJZHRvZv","ddLRYrp01A","AcOhelriW5","7t3wd0Fuz7","3tVxb0NHM4","rysDP5nf3Z"],"result":"⋋%⋟7784","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1899","layer":2},{"info":"number node, value=1141","layer":2},{"info":"compute binary expreesion, left_input=1899, right_input=1141, op_id = k8jYdgA6NY binary_op_definition= 'None', output=758","layer":1},{"info":"compute unary expreesion, input=758, op_id = 2k53nXOpI5, unary_op_definition = 'a⇀∌ = { ((a⪎↠(⨣⨃⇪a))⋥⋵⩄(a∊∟⩊(⊥a))) }', output=5746","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟2540%⋋%⋟1507)⇀∌=⋋%⋟7784","reverse_text":"⋋%⋟7784=(⋋%⋟2540%⋋%⋟1507)⇀∌","cot":[{"info":"⋋%⋟2540%⋋%⋟1507=⋋%⋟1032","layer":1},{"info":"⋋%⋟1032⇀∌=⋋%⋟7784","layer":0}]}
+{"id":980,"expression_no_base_symbol":"$1701$⫞⩸⩒$1078$↢(⪫⨮⊛$4924$)","expression":"⋋%⋟2300⫞⩸⩒⋋%⋟1427↢(⪫⨮⊛⋋%⋟6671)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2979256,"operation_count":3,"complexity_ratio":993085.3333333334,"tree":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":1701,"base":9},"right_expr":{"type":"numeric_atoms","value":1078,"base":9}},"right_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"numeric_atoms","value":4924,"base":9}}},"used_operators":["WR6HLWljOP","XGcMNugi78","w5FWba1tyO"],"dependent_operators":["eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb"],"result":"⋋%⋟730","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1701","layer":2},{"info":"number node, value=1078","layer":2},{"info":"compute binary expreesion, left_input=1701, right_input=1078, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=1078","layer":1},{"info":"number node, value=4924","layer":2},{"info":"compute unary expreesion, input=4924, 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=1078, right_input=nan, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=594","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟2300⫞⩸⩒⋋%⋟1427↢(⪫⨮⊛⋋%⋟6671)=⋋%⋟730","reverse_text":"⋋%⋟730=⋋%⋟2300⫞⩸⩒⋋%⋟1427↢(⪫⨮⊛⋋%⋟6671)","cot":[{"info":"⋋%⋟2300⫞⩸⩒⋋%⋟1427=⋋%⋟1427","layer":1},{"info":"⪫⨮⊛⋋%⋟6671=NaN","layer":1},{"info":"⋋%⋟1427↢NaN=⋋%⋟730","layer":0}]}
+{"id":981,"expression_no_base_symbol":"(⊑$1997$)⇄$1537$≧⫂∧$1766$","expression":"(⊑⋋%⋟2658)⇄⋋%⋟2087≧⫂∧⋋%⋟2372","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":414,"operation_count":3,"complexity_ratio":138.0,"tree":{"type":"binary","operator":"⇄","left_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"numeric_atoms","value":1997,"base":9}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1537,"base":9},"right_expr":{"type":"numeric_atoms","value":1766,"base":9}}},"used_operators":["3EYGwJThht","IkUmn0D7oy","Ph9nP6C5qx"],"dependent_operators":["eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","rysDP5nf3Z","t8gj7n24qd"],"result":"⋋%⋟-1088","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1997","layer":2},{"info":"compute unary expreesion, input=1997, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":1},{"info":"number node, value=1537","layer":2},{"info":"number node, value=1766","layer":2},{"info":"compute binary expreesion, left_input=1537, right_input=1766, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1293","layer":1},{"info":"compute binary expreesion, left_input=192, right_input=1293, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=-809","layer":0}],"base":9,"result_base":9,"text":"(⊑⋋%⋟2658)⇄⋋%⋟2087≧⫂∧⋋%⋟2372=⋋%⋟-1088","reverse_text":"⋋%⋟-1088=(⊑⋋%⋟2658)⇄⋋%⋟2087≧⫂∧⋋%⋟2372","cot":[{"info":"⊑⋋%⋟2658=⋋%⋟233","layer":1},{"info":"⋋%⋟2087≧⫂∧⋋%⋟2372=⋋%⋟1686","layer":1},{"info":"⋋%⋟233⇄⋋%⋟1686=⋋%⋟-1088","layer":0}]}
+{"id":982,"expression_no_base_symbol":"≋$1884$⫗⊷⫓$1515$","expression":"≋⋋%⋟2523⫗⊷⫓⋋%⋟2063","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":1176468,"operation_count":2,"complexity_ratio":588234.0,"tree":{"type":"unary","operator":"≋","unary_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":1884,"base":9},"right_expr":{"type":"numeric_atoms","value":1515,"base":9}}},"used_operators":["61wBmkZwlr","zashukvMKz"],"dependent_operators":["7j4O788W3g","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l"],"result":"⋋%⋟-158","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1884","layer":2},{"info":"number node, value=1515","layer":2},{"info":"compute binary expreesion, left_input=1884, right_input=1515, 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 = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=-134","layer":0}],"base":9,"result_base":9,"text":"≋⋋%⋟2523⫗⊷⫓⋋%⋟2063=⋋%⋟-158","reverse_text":"⋋%⋟-158=≋⋋%⋟2523⫗⊷⫓⋋%⋟2063","cot":[{"info":"⋋%⋟2523⫗⊷⫓⋋%⋟2063=⋋%⋟-158","layer":1},{"info":"≋⋋%⋟-158=⋋%⋟-158","layer":0}]}
+{"id":983,"expression_no_base_symbol":"($1120$%$5458$)↓(∐⩳⋚$1635$)","expression":"(⋋%⋟1474%⋋%⋟7434)↓(∐⩳⋚⋋%⋟2216)","highest_n_order":3,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3199497,"operation_count":3,"complexity_ratio":1066499.0,"tree":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1120,"base":9},"right_expr":{"type":"numeric_atoms","value":5458,"base":9}},"right_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"numeric_atoms","value":1635,"base":9}}},"used_operators":["Af076pWI7l","k8jYdgA6NY","SL6IHkK8vl"],"dependent_operators":["nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","rysDP5nf3Z","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf"],"result":"⋋%⋟-158","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1120","layer":2},{"info":"number node, value=5458","layer":2},{"info":"compute binary expreesion, left_input=1120, right_input=5458, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1120","layer":1},{"info":"number node, value=1635","layer":2},{"info":"compute unary expreesion, input=1635, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=228502","layer":1},{"info":"compute binary expreesion, left_input=1120, right_input=228502, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟1474%⋋%⋟7434)↓(∐⩳⋚⋋%⋟2216)=⋋%⋟-158","reverse_text":"⋋%⋟-158=(⋋%⋟1474%⋋%⋟7434)↓(∐⩳⋚⋋%⋟2216)","cot":[{"info":"⋋%⋟1474%⋋%⋟7434=⋋%⋟1474","layer":1},{"info":"∐⩳⋚⋋%⋟2216=⋋%⋟377401","layer":1},{"info":"⋋%⋟1474↓⋋%⋟377401=⋋%⋟-158","layer":0}]}
+{"id":984,"expression_no_base_symbol":"$2664$∇⊂⋱$8140$≥⨤⩑(⫓⪴$7572$)","expression":"⋋%⋟3580∇⊂⋱⋋%⋟12144≥⨤⩑(⫓⪴⋋%⋟11343)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":7594,"operation_count":3,"complexity_ratio":2531.3333333333335,"tree":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":2664,"base":9},"right_expr":{"type":"numeric_atoms","value":8140,"base":9}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":7572,"base":9}}},"used_operators":["gJLn6v0xnP","nhYeJWJD5X","eLxqMNBOBk"],"dependent_operators":["mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","9HNa5Wba9A"],"result":"⋋%⋟1621","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=2664","layer":2},{"info":"number node, value=8140","layer":2},{"info":"compute binary expreesion, left_input=2664, right_input=8140, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=4782","layer":1},{"info":"number node, value=7572","layer":2},{"info":"compute unary expreesion, input=7572, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=57335184","layer":1},{"info":"compute binary expreesion, left_input=4782, right_input=57335184, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟3580∇⊂⋱⋋%⋟12144≥⨤⩑(⫓⪴⋋%⋟11343)=⋋%⋟1621","reverse_text":"⋋%⋟1621=⋋%⋟3580∇⊂⋱⋋%⋟12144≥⨤⩑(⫓⪴⋋%⋟11343)","cot":[{"info":"⋋%⋟3580∇⊂⋱⋋%⋟12144=⋋%⋟6503","layer":1},{"info":"⫓⪴⋋%⋟11343=⋋%⋟128787070","layer":1},{"info":"⋋%⋟6503≥⨤⩑⋋%⋟128787070=⋋%⋟1621","layer":0}]}
+{"id":985,"expression_no_base_symbol":"($8706$∲⫓$1581$)⋩≍≻","expression":"(⋋%⋟12843∲⫓⋋%⋟2146)⋩≍≻","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":19,"operation_count":2,"complexity_ratio":9.5,"tree":{"type":"unary","operator":"⋩≍≻","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":8706,"base":9},"right_expr":{"type":"numeric_atoms","value":1581,"base":9}}},"used_operators":["WYd1w68Nbz","i8ToyICDmI"],"dependent_operators":["P8v4zCKN1o","Noe24qw2ks","mqXw5SEYmG","IWmyXbctLI","COABgblf1C","W4YGzv6Whe","t8gj7n24qd"],"result":"⋋%⋟0","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=8706","layer":2},{"info":"number node, value=1581","layer":2},{"info":"compute binary expreesion, left_input=8706, right_input=1581, 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 = WYd1w68Nbz, unary_op_definition = 'a⋩≍≻ = { (∥⊫(a⊭↱21)) , if a>=390 ; ((a⨐a)⫸⊐(a⪮%⊝a)) , else }', output=0","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟12843∲⫓⋋%⋟2146)⋩≍≻=⋋%⋟0","reverse_text":"⋋%⋟0=(⋋%⋟12843∲⫓⋋%⋟2146)⋩≍≻","cot":[{"info":"⋋%⋟12843∲⫓⋋%⋟2146=⋋%⋟0","layer":1},{"info":"⋋%⋟0⋩≍≻=⋋%⋟0","layer":0}]}
+{"id":986,"expression_no_base_symbol":"$1006$⫁⪎$3378$⋆⋳","expression":"⋋%⋟1337⫁⪎⋋%⋟4563⋆⋳","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":20,"operation_count":2,"complexity_ratio":10.0,"tree":{"type":"unary","operator":"⋆⋳","unary_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":1006,"base":9},"right_expr":{"type":"numeric_atoms","value":3378,"base":9}}},"used_operators":["6MpZysEj17","xRrnTEsQ6j"],"dependent_operators":["9FxExcQeMw","7j4O788W3g","DIvbN7qnHd","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI"],"result":"⋋%⋟6415","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1006","layer":2},{"info":"number node, value=3378","layer":2},{"info":"compute binary expreesion, left_input=1006, right_input=3378, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-2372","layer":1},{"info":"compute unary expreesion, input=-2372, op_id = 6MpZysEj17, unary_op_definition = 'a⋆⋳ = { ((a⊠≄⫣)⩷∴(a↺a)) }', output=4712","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟1337⫁⪎⋋%⋟4563⋆⋳=⋋%⋟6415","reverse_text":"⋋%⋟6415=⋋%⋟1337⫁⪎⋋%⋟4563⋆⋳","cot":[{"info":"⋋%⋟1337⫁⪎⋋%⋟4563=⋋%⋟-3225","layer":1},{"info":"⋋%⋟-3225⋆⋳=⋋%⋟6415","layer":0}]}
+{"id":987,"expression_no_base_symbol":"$1506$⫗⊷⫓$2577$∳⫺(∂$1655$)","expression":"⋋%⋟2053⫗⊷⫓⋋%⋟3473∳⫺(∂⋋%⋟2238)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2001699,"operation_count":3,"complexity_ratio":667233.0,"tree":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":1506,"base":9},"right_expr":{"type":"numeric_atoms","value":2577,"base":9}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1655,"base":9}}},"used_operators":["AzXXKTstlj","zashukvMKz","Uaa54Peajs"],"dependent_operators":["F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"⋋%⋟-318","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1506","layer":2},{"info":"number node, value=2577","layer":2},{"info":"compute binary expreesion, left_input=1506, right_input=2577, 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":"number node, value=1655","layer":2},{"info":"compute unary expreesion, input=1655, 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":1},{"info":"compute binary expreesion, left_input=-134, right_input=nan, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟2053⫗⊷⫓⋋%⋟3473∳⫺(∂⋋%⋟2238)=⋋%⋟-318","reverse_text":"⋋%⋟-318=⋋%⋟2053⫗⊷⫓⋋%⋟3473∳⫺(∂⋋%⋟2238)","cot":[{"info":"⋋%⋟2053⫗⊷⫓⋋%⋟3473=⋋%⋟-158","layer":1},{"info":"∂⋋%⋟2238=NaN","layer":1},{"info":"⋋%⋟-158∳⫺NaN=⋋%⋟-318","layer":0}]}
+{"id":988,"expression_no_base_symbol":"(⇖$1609$)⨶","expression":"(⇖⋋%⋟2177)⨶","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":12,"operation_count":2,"complexity_ratio":6.0,"tree":{"type":"unary","operator":"⨶","unary_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"numeric_atoms","value":1609,"base":9}}},"used_operators":["rFxw8gIMmB","tfWHHpNKUN"],"dependent_operators":["f6k1SAg4EE","Qy55tPpLXF","2DQ55sFlQl"],"result":"⋋%⋟-1854","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1609","layer":2},{"info":"compute unary expreesion, input=1609, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":1},{"info":"compute unary expreesion, input=160, op_id = rFxw8gIMmB, unary_op_definition = 'a⨶ = { ((a⋥≓≎303)⪒(a⋥≓≎537)) }', output=-1426","layer":0}],"base":9,"result_base":9,"text":"(⇖⋋%⋟2177)⨶=⋋%⋟-1854","reverse_text":"⋋%⋟-1854=(⇖⋋%⋟2177)⨶","cot":[{"info":"⇖⋋%⋟2177=⋋%⋟187","layer":1},{"info":"⋋%⋟187⨶=⋋%⋟-1854","layer":0}]}
+{"id":989,"expression_no_base_symbol":"(⊊≼∋$1346$)⋥⋵⩄(⫛⫱⨽$5847$)","expression":"(⊊≼∋⋋%⋟1755)⋥⋵⩄(⫛⫱⨽⋋%⋟8016)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2828,"operation_count":3,"complexity_ratio":942.6666666666666,"tree":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"numeric_atoms","value":1346,"base":9}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":5847,"base":9}}},"used_operators":["7t3wd0Fuz7","FWz7pXsQhA","DlLNRPXxWL"],"dependent_operators":["IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","B5M0gjZbta","jCPkEVoL5K","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1346","layer":2},{"info":"compute unary expreesion, input=1346, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=-447","layer":1},{"info":"number node, value=5847","layer":2},{"info":"compute unary expreesion, input=5847, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-447, right_input=0, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(⊊≼∋⋋%⋟1755)⋥⋵⩄(⫛⫱⨽⋋%⋟8016)=NaN","reverse_text":"NaN=(⊊≼∋⋋%⋟1755)⋥⋵⩄(⫛⫱⨽⋋%⋟8016)","cot":[{"info":"⊊≼∋⋋%⋟1755=⋋%⋟-546","layer":1},{"info":"⫛⫱⨽⋋%⋟8016=⋋%⋟0","layer":1},{"info":"⋋%⋟-546⋥⋵⩄⋋%⋟0=NaN","layer":0}]}
+{"id":990,"expression_no_base_symbol":"(↔$5678$)⨚⇆$3753$⩼⇪↪$1709$","expression":"(↔⋋%⋟7708)⨚⇆⋋%⋟5130⩼⇪↪⋋%⋟2308","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":37888,"operation_count":3,"complexity_ratio":12629.333333333334,"tree":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":5678,"base":9}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":3753,"base":9},"right_expr":{"type":"numeric_atoms","value":1709,"base":9}}},"used_operators":["lwHaAYXP2r","ruOEQAzv1W","ocnLzx9CaJ"],"dependent_operators":["gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=5678","layer":2},{"info":"compute unary expreesion, input=5678, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-5405","layer":1},{"info":"number node, value=3753","layer":2},{"info":"number node, value=1709","layer":2},{"info":"compute binary expreesion, left_input=3753, right_input=1709, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-5240","layer":1},{"info":"compute binary expreesion, left_input=-5405, right_input=-5240, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":0}],"base":9,"result_base":9,"text":"(↔⋋%⋟7708)⨚⇆⋋%⋟5130⩼⇪↪⋋%⋟2308=NaN","reverse_text":"NaN=(↔⋋%⋟7708)⨚⇆⋋%⋟5130⩼⇪↪⋋%⋟2308","cot":[{"info":"↔⋋%⋟7708=⋋%⋟-7365","layer":1},{"info":"⋋%⋟5130⩼⇪↪⋋%⋟2308=⋋%⋟-7162","layer":1},{"info":"⋋%⋟-7365⨚⇆⋋%⋟-7162=NaN","layer":0}]}
+{"id":991,"expression_no_base_symbol":"$5700$⩧⪆$3480$⋭≵$2432$⫗⊷⫓$2663$","expression":"⋋%⋟7733⩧⪆⋋%⋟4686⋭≵⋋%⋟3302⫗⊷⫓⋋%⋟3578","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2068503,"operation_count":3,"complexity_ratio":689501.0,"tree":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":5700,"base":9},"right_expr":{"type":"numeric_atoms","value":3480,"base":9}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":2432,"base":9},"right_expr":{"type":"numeric_atoms","value":2663,"base":9}}},"used_operators":["jBncVCNhdl","Ikt5ks8PT7","zashukvMKz"],"dependent_operators":["RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","eewbuw0ToL","t8gj7n24qd","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l"],"result":"⋋%⋟74","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=5700","layer":2},{"info":"number node, value=3480","layer":2},{"info":"compute binary expreesion, left_input=5700, right_input=3480, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-3480","layer":1},{"info":"number node, value=2432","layer":2},{"info":"number node, value=2663","layer":2},{"info":"compute binary expreesion, left_input=2432, right_input=2663, 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=-3480, right_input=-134, 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":9,"result_base":9,"text":"⋋%⋟7733⩧⪆⋋%⋟4686⋭≵⋋%⋟3302⫗⊷⫓⋋%⋟3578=⋋%⋟74","reverse_text":"⋋%⋟74=⋋%⋟7733⩧⪆⋋%⋟4686⋭≵⋋%⋟3302⫗⊷⫓⋋%⋟3578","cot":[{"info":"⋋%⋟7733⩧⪆⋋%⋟4686=⋋%⋟-4686","layer":1},{"info":"⋋%⋟3302⫗⊷⫓⋋%⋟3578=⋋%⋟-158","layer":1},{"info":"⋋%⋟-4686⋭≵⋋%⋟-158=⋋%⋟74","layer":0}]}
+{"id":992,"expression_no_base_symbol":"⩪∧⨌$3542$⇻⋧≁$5017$","expression":"⩪∧⨌⋋%⋟4765⇻⋧≁⋋%⋟6784","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":3577,"operation_count":2,"complexity_ratio":1788.5,"tree":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":3542,"base":9},"right_expr":{"type":"numeric_atoms","value":5017,"base":9}}},"used_operators":["6iOiAJX1F8","jCPkEVoL5K"],"dependent_operators":["P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe"],"result":"⋋%⋟-6116","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3542","layer":2},{"info":"number node, value=5017","layer":2},{"info":"compute binary expreesion, left_input=3542, right_input=5017, 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 unary expreesion, input=-447, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=-4470","layer":0}],"base":9,"result_base":9,"text":"⩪∧⨌⋋%⋟4765⇻⋧≁⋋%⋟6784=⋋%⋟-6116","reverse_text":"⋋%⋟-6116=⩪∧⨌⋋%⋟4765⇻⋧≁⋋%⋟6784","cot":[{"info":"⋋%⋟4765⇻⋧≁⋋%⋟6784=⋋%⋟-546","layer":1},{"info":"⩪∧⨌⋋%⋟-546=⋋%⋟-6116","layer":0}]}
+{"id":993,"expression_no_base_symbol":"⪁⇼($4662$⨱∎)","expression":"⪁⇼(⋋%⋟6350⨱∎)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":10,"operation_count":2,"complexity_ratio":5.0,"tree":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"unary","operator":"⨱∎","unary_expr":{"type":"numeric_atoms","value":4662,"base":9}}},"used_operators":["ZNVVrZ94lY","MmTdOpaElr"],"dependent_operators":["sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","tifHPKVTfV"],"result":"⋋%⋟518","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=4662","layer":2},{"info":"compute unary expreesion, input=4662, op_id = MmTdOpaElr, unary_op_definition = 'a⨱∎ = { (a⇼⇔∾a) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":0}],"base":9,"result_base":9,"text":"⪁⇼(⋋%⋟6350⨱∎)=⋋%⋟518","reverse_text":"⋋%⋟518=⪁⇼(⋋%⋟6350⨱∎)","cot":[{"info":"⋋%⋟6350⨱∎=⋋%⋟0","layer":1},{"info":"⪁⇼⋋%⋟0=⋋%⋟518","layer":0}]}
+{"id":994,"expression_no_base_symbol":"⇐(≅≯⇸$3290$)","expression":"⇐(≅≯⇸⋋%⋟4455)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":60,"operation_count":2,"complexity_ratio":30.0,"tree":{"type":"unary","operator":"⇐","unary_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"numeric_atoms","value":3290,"base":9}}},"used_operators":["nmZMaaE0Q9","apS25hmuAe"],"dependent_operators":["23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","EBcxylXtPf","QMFrweE19q"],"result":"⋋%⋟46176","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=3290","layer":2},{"info":"compute unary expreesion, input=3290, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=20837","layer":1},{"info":"compute unary expreesion, input=20837, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=30768","layer":0}],"base":9,"result_base":9,"text":"⇐(≅≯⇸⋋%⋟4455)=⋋%⋟46176","reverse_text":"⋋%⋟46176=⇐(≅≯⇸⋋%⋟4455)","cot":[{"info":"≅≯⇸⋋%⋟4455=⋋%⋟31522","layer":1},{"info":"⇐⋋%⋟31522=⋋%⋟46176","layer":0}]}
+{"id":995,"expression_no_base_symbol":"$1455$⨪↰⇹$4874$⫦⪉$2174$⫗⊷⫓$2967$","expression":"⋋%⋟1886⨪↰⇹⋋%⋟6615⫦⪉⋋%⋟2875⫗⊷⫓⋋%⋟4056","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2306146,"operation_count":3,"complexity_ratio":768715.3333333334,"tree":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1455,"base":9},"right_expr":{"type":"numeric_atoms","value":4874,"base":9}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":2174,"base":9},"right_expr":{"type":"numeric_atoms","value":2967,"base":9}}},"used_operators":["wscyQdcy20","tmPS8pqC7x","zashukvMKz"],"dependent_operators":["W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","rJVOvQCfKK","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l"],"result":"⋋%⋟2651","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1455","layer":2},{"info":"number node, value=4874","layer":2},{"info":"compute binary expreesion, left_input=1455, right_input=4874, 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=1455","layer":1},{"info":"number node, value=2174","layer":2},{"info":"number node, value=2967","layer":2},{"info":"compute binary expreesion, left_input=2174, right_input=2967, 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=1455, right_input=-134, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=1990","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟1886⨪↰⇹⋋%⋟6615⫦⪉⋋%⋟2875⫗⊷⫓⋋%⋟4056=⋋%⋟2651","reverse_text":"⋋%⋟2651=⋋%⋟1886⨪↰⇹⋋%⋟6615⫦⪉⋋%⋟2875⫗⊷⫓⋋%⋟4056","cot":[{"info":"⋋%⋟1886⨪↰⇹⋋%⋟6615=⋋%⋟1886","layer":1},{"info":"⋋%⋟2875⫗⊷⫓⋋%⋟4056=⋋%⋟-158","layer":1},{"info":"⋋%⋟1886⫦⪉⋋%⋟-158=⋋%⋟2651","layer":0}]}
+{"id":996,"expression_no_base_symbol":"⫶⊄≣$6539$⪟⇏$1116$","expression":"⫶⊄≣⋋%⋟8865⪟⇏⋋%⋟1470","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":52,"operation_count":2,"complexity_ratio":26.0,"tree":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":6539,"base":9},"right_expr":{"type":"numeric_atoms","value":1116,"base":9}}},"used_operators":["wxb3vTeyAj","GODebY97qR"],"dependent_operators":["eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X"],"result":"⋋%⋟-2385","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=6539","layer":2},{"info":"number node, value=1116","layer":2},{"info":"compute binary expreesion, left_input=6539, right_input=1116, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=-1","layer":1},{"info":"compute unary expreesion, input=-1, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=-1778","layer":0}],"base":9,"result_base":9,"text":"⫶⊄≣⋋%⋟8865⪟⇏⋋%⋟1470=⋋%⋟-2385","reverse_text":"⋋%⋟-2385=⫶⊄≣⋋%⋟8865⪟⇏⋋%⋟1470","cot":[{"info":"⋋%⋟8865⪟⇏⋋%⋟1470=⋋%⋟-1","layer":1},{"info":"⫶⊄≣⋋%⋟-1=⋋%⋟-2385","layer":0}]}
+{"id":997,"expression_no_base_symbol":"(⋎⨆$1777$)⪚($7525$⫦⪉$5079$)","expression":"(⋎⨆⋋%⋟2384)⪚(⋋%⋟11281⫦⪉⋋%⋟6863)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":71,"operation_count":3,"complexity_ratio":23.666666666666668,"tree":{"type":"binary","operator":"⪚","left_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"numeric_atoms","value":1777,"base":9}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":7525,"base":9},"right_expr":{"type":"numeric_atoms","value":5079,"base":9}}},"used_operators":["HrjLwUk87U","E64sFOc4tB","wscyQdcy20"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf"],"result":"⋋%⋟30320","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1777","layer":2},{"info":"compute unary expreesion, input=1777, op_id = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=0","layer":1},{"info":"number node, value=7525","layer":2},{"info":"number node, value=5079","layer":2},{"info":"compute binary expreesion, left_input=7525, right_input=5079, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-10150","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-10150, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=19944","layer":0}],"base":9,"result_base":9,"text":"(⋎⨆⋋%⋟2384)⪚(⋋%⋟11281⫦⪉⋋%⋟6863)=⋋%⋟30320","reverse_text":"⋋%⋟30320=(⋎⨆⋋%⋟2384)⪚(⋋%⋟11281⫦⪉⋋%⋟6863)","cot":[{"info":"⋎⨆⋋%⋟2384=⋋%⋟0","layer":1},{"info":"⋋%⋟11281⫦⪉⋋%⋟6863=⋋%⋟-14827","layer":1},{"info":"⋋%⋟0⪚⋋%⋟-14827=⋋%⋟30320","layer":0}]}
+{"id":998,"expression_no_base_symbol":"$1031$⫗⊷⫓$3114$⫘($1075$∲⫓$1041$)","expression":"⋋%⋟1365⫗⊷⫓⋋%⋟4240⫘(⋋%⋟1424∲⫓⋋%⋟1376)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2419227,"operation_count":3,"complexity_ratio":806409.0,"tree":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":1031,"base":9},"right_expr":{"type":"numeric_atoms","value":3114,"base":9}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1075,"base":9},"right_expr":{"type":"numeric_atoms","value":1041,"base":9}}},"used_operators":["48vC8HMD2b","zashukvMKz","i8ToyICDmI"],"dependent_operators":["OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","W4YGzv6Whe","t8gj7n24qd"],"result":"⋋%⋟1074478","longer_result_info":{"target_base":9,"flag":true},"cot_info":[{"info":"number node, value=1031","layer":2},{"info":"number node, value=3114","layer":2},{"info":"compute binary expreesion, left_input=1031, right_input=3114, 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":"number node, value=1075","layer":2},{"info":"number node, value=1041","layer":2},{"info":"compute binary expreesion, left_input=1075, right_input=1041, 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=-134, right_input=0, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=580679","layer":0}],"base":9,"result_base":9,"text":"⋋%⋟1365⫗⊷⫓⋋%⋟4240⫘(⋋%⋟1424∲⫓⋋%⋟1376)=⋋%⋟1074478","reverse_text":"⋋%⋟1074478=⋋%⋟1365⫗⊷⫓⋋%⋟4240⫘(⋋%⋟1424∲⫓⋋%⋟1376)","cot":[{"info":"⋋%⋟1365⫗⊷⫓⋋%⋟4240=⋋%⋟-158","layer":1},{"info":"⋋%⋟1424∲⫓⋋%⋟1376=⋋%⋟0","layer":1},{"info":"⋋%⋟-158⫘⋋%⋟0=⋋%⋟1074478","layer":0}]}
+{"id":999,"expression_no_base_symbol":"($2930$∳⫺$1067$)⪃⊛⇣$3765$⪬$5833$","expression":"(⋋%⋟4015∳⫺⋋%⋟1415)⪃⊛⇣⋋%⋟5143⪬⋋%⋟8001","highest_n_order":4,"priority_hierarchical_complexity":2,"normalized_expansion_degree":68797,"operation_count":3,"complexity_ratio":22932.333333333332,"tree":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":2930,"base":9},"right_expr":{"type":"numeric_atoms","value":1067,"base":9}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":3765,"base":9},"right_expr":{"type":"numeric_atoms","value":5833,"base":9}}},"used_operators":["rrgAzCduG9","AzXXKTstlj","Ez1Nq5fNfI"],"dependent_operators":["Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y"],"result":"⋋%⋟1621","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=2930","layer":2},{"info":"number node, value=1067","layer":2},{"info":"compute binary expreesion, left_input=2930, right_input=1067, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":1},{"info":"number node, value=3765","layer":2},{"info":"number node, value=5833","layer":2},{"info":"compute binary expreesion, left_input=3765, right_input=5833, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":1},{"info":"compute binary expreesion, left_input=-260, right_input=1234, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":0}],"base":9,"result_base":9,"text":"(⋋%⋟4015∳⫺⋋%⋟1415)⪃⊛⇣⋋%⋟5143⪬⋋%⋟8001=⋋%⋟1621","reverse_text":"⋋%⋟1621=(⋋%⋟4015∳⫺⋋%⋟1415)⪃⊛⇣⋋%⋟5143⪬⋋%⋟8001","cot":[{"info":"⋋%⋟4015∳⫺⋋%⋟1415=⋋%⋟-318","layer":1},{"info":"⋋%⋟5143⪬⋋%⋟8001=⋋%⋟1621","layer":1},{"info":"⋋%⋟-318⪃⊛⇣⋋%⋟1621=⋋%⋟1621","layer":0}]}
+{"id":1000,"expression_no_base_symbol":"≋($1927$∠⫱$1172$)","expression":"≋(⋋%⋟2571∠⫱⋋%⋟1542)","highest_n_order":1,"priority_hierarchical_complexity":2,"normalized_expansion_degree":11,"operation_count":2,"complexity_ratio":5.5,"tree":{"type":"unary","operator":"≋","unary_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":1927,"base":9},"right_expr":{"type":"numeric_atoms","value":1172,"base":9}}},"used_operators":["61wBmkZwlr","QvoQhV0rrE"],"dependent_operators":["7j4O788W3g","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP"],"result":"⋋%⋟1621","longer_result_info":{"target_base":9,"flag":false},"cot_info":[{"info":"number node, value=1927","layer":2},{"info":"number node, value=1172","layer":2},{"info":"compute binary expreesion, left_input=1927, right_input=1172, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":1},{"info":"compute unary expreesion, input=1234, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=1234","layer":0}],"base":9,"result_base":9,"text":"≋(⋋%⋟2571∠⫱⋋%⋟1542)=⋋%⋟1621","reverse_text":"⋋%⋟1621=≋(⋋%⋟2571∠⫱⋋%⋟1542)","cot":[{"info":"⋋%⋟2571∠⫱⋋%⋟1542=⋋%⋟1621","layer":1},{"info":"≋⋋%⋟1621=⋋%⋟1621","layer":0}]}